%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW338+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:07:49 EDT 2024 % Result : Theorem 194.45s 194.25s % Output : CNFRefutation 194.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWW338+1 : TPTP v8.2.0. Released v5.2.0. % 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.36 % Computer : n019.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Wed Jun 19 08:30:24 EDT 2024 % 0.13/0.36 % CPUTime : % 0.54/0.60 start to proof:theBenchmark % 193.94/194.09 %------------------------------------------- % 193.94/194.09 % File :CSE---1.7 % 193.94/194.09 % Problem :theBenchmark % 193.94/194.09 % Transform :cnf % 193.94/194.09 % Format :tptp:raw % 193.94/194.09 % Command :java -jar mcs_scs.jar %d %s % 193.94/194.09 % 193.94/194.09 % Result :Theorem 178.570000s % 193.94/194.09 % Output :CNFRefutation 178.570000s % 193.94/194.09 %------------------------------------------- % 193.94/194.09 %------------------------------------------------------------------------------ % 193.94/194.09 % File : SWW338+1 : TPTP v8.2.0. Released v5.2.0. % 193.94/194.09 % Domain : Software Verification % 193.94/194.09 % Problem : Hoare's Logic with Procedures 435187, 5000 axioms selected % 193.94/194.09 % Version : Especial. % 193.94/194.09 % English : % 193.94/194.09 % 193.94/194.09 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 193.94/194.09 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 193.94/194.09 % Source : [Bla11] % 193.94/194.09 % Names : hoare_435187.5000.p [Bla11] % 193.94/194.09 % 193.94/194.09 % Status : ContradictoryAxioms % 193.94/194.09 % Rating : 0.69 v8.2.0, 0.67 v8.1.0, 0.69 v7.4.0, 0.83 v7.0.0, 0.80 v6.4.0, 0.77 v6.3.0, 0.79 v6.2.0, 0.88 v6.1.0, 0.90 v6.0.0, 0.83 v5.5.0, 0.89 v5.2.0 % 193.94/194.09 % Syntax : Number of formulae : 5228 (1666 unt; 0 def) % 193.94/194.09 % Number of atoms : 12788 (4419 equ) % 193.94/194.09 % Maximal formula atoms : 13 ( 2 avg) % 193.94/194.09 % Number of connectives : 8539 ( 979 ~; 148 |; 720 &) % 193.94/194.09 % ( 885 <=>;5807 =>; 0 <=; 0 <~>) % 193.94/194.09 % Maximal formula depth : 22 ( 6 avg) % 193.94/194.09 % Maximal term depth : 19 ( 2 avg) % 193.94/194.09 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty) % 193.94/194.10 % Number of functors : 382 ( 382 usr; 50 con; 0-7 aty) % 193.94/194.10 % Number of variables : 16688 (16534 !; 154 ?) % 193.94/194.10 % SPC : FOF_CAX_RFO_SEQ % 193.94/194.10 % 193.94/194.10 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 193.94/194.10 % 2011-03-01 12:09:34 % 193.94/194.10 %------------------------------------------------------------------------------ % 193.94/194.10 %----Relevant facts (4985) % 193.94/194.10 fof(fact_ext,axiom, % 193.94/194.10 ! [V_g_2,V_f_2] : % 193.94/194.10 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 193.94/194.10 => V_f_2 = V_g_2 ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_cut,axiom, % 193.94/194.10 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] : % 193.94/194.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2) % 193.94/194.10 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2) % 193.94/194.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_hoare__valids__def,axiom, % 193.94/194.10 ! [V_tsa_2,V_Ga_2,T_b] : % 193.94/194.10 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_tsa_2) % 193.94/194.10 <=> ! [B_n] : % 193.94/194.10 ( ! [B_x] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2)) % 193.94/194.10 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) % 193.94/194.10 => ! [B_x] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2)) % 193.94/194.10 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_triples__valid__Suc,axiom, % 193.94/194.10 ! [V_n_2,V_tsa_2,T_b] : % 193.94/194.10 ( ! [B_x] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2)) % 193.94/194.10 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) ) % 193.94/194.10 => ! [B_x] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2)) % 193.94/194.10 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_triple__valid__Suc,axiom, % 193.94/194.10 ! [V_t,V_n,T_a] : % 193.94/194.10 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t) % 193.94/194.10 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_empty,axiom, % 193.94/194.10 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 193.94/194.10 % 193.94/194.10 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 193.94/194.10 ! [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))) ). % 193.94/194.10 % 193.94/194.10 fof(fact_asm,axiom, % 193.94/194.10 ! [V_Ga_2,V_tsa_2,T_b] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_Ga_2)) % 193.94/194.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_weaken,axiom, % 193.94/194.10 ! [V_tsa_2,V_ts_H_2,V_Ga_2,T_b] : % 193.94/194.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_ts_H_2)) % 193.94/194.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_thin,axiom, % 193.94/194.10 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] : % 193.94/194.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2)) % 193.94/194.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_INFI__bool__eq,axiom, % 193.94/194.10 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 193.94/194.10 % 193.94/194.10 fof(fact_ball__reg,axiom, % 193.94/194.10 ! [T_b,V_Q_2,V_P_2,V_R_2] : % 193.94/194.10 ( ! [B_x] : % 193.94/194.10 ( hBOOL(hAPP(V_R_2,B_x)) % 193.94/194.10 => ( hBOOL(hAPP(V_P_2,B_x)) % 193.94/194.10 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 193.94/194.10 => ( ! [B_x] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_R_2)) % 193.94/194.10 => hBOOL(hAPP(V_P_2,B_x)) ) % 193.94/194.10 => ! [B_x] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_R_2)) % 193.94/194.10 => hBOOL(hAPP(V_Q_2,B_x)) ) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_triple__valid__def2,axiom, % 193.94/194.10 ! [V_Q_2,V_c_2,V_P_2,V_n_2,T_b] : % 193.94/194.10 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)) % 193.94/194.10 <=> ! [B_Z,B_s] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 193.94/194.10 => ! [B_s_H] : % 193.94/194.10 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H) % 193.94/194.10 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_ball__empty,axiom, % 193.94/194.10 ! [V_P_2,T_b,B_x] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 193.94/194.10 => hBOOL(hAPP(V_P_2,B_x)) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_equalityI,axiom, % 193.94/194.10 ! [V_B_2,V_A_2,T_b] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.10 => V_A_2 = V_B_2 ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_empty__subsetI,axiom, % 193.94/194.10 ! [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)) ). % 193.94/194.10 % 193.94/194.10 fof(fact_subset__refl,axiom, % 193.94/194.10 ! [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)) ). % 193.94/194.10 % 193.94/194.10 fof(fact_subset__empty,axiom, % 193.94/194.10 ! [V_A_2,T_b] : % 193.94/194.10 ( 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)))) % 193.94/194.10 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_set__eq__subset,axiom, % 193.94/194.10 ! [T_b,V_B_2,V_A_2] : % 193.94/194.10 ( V_A_2 = V_B_2 % 193.94/194.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_triple_Oinject,axiom, % 193.94/194.10 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 193.94/194.10 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2) % 193.94/194.10 <=> ( V_fun1_2 = V_fun1_H_2 % 193.94/194.10 & V_com_2 = V_com_H_2 % 193.94/194.10 & V_fun2_2 = V_fun2_H_2 ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_equalityD1,axiom, % 193.94/194.10 ! [T_b,V_B_2,V_A_2] : % 193.94/194.10 ( V_A_2 = V_B_2 % 193.94/194.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_equalityD2,axiom, % 193.94/194.10 ! [T_b,V_B_2,V_A_2] : % 193.94/194.10 ( V_A_2 = V_B_2 % 193.94/194.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_INF__subset,axiom, % 193.94/194.10 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.10 => 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))) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_subset__trans,axiom, % 193.94/194.10 ! [V_C_2,V_B_2,V_A_2,T_b] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 193.94/194.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_equalityE,axiom, % 193.94/194.10 ! [T_b,V_B_2,V_A_2] : % 193.94/194.10 ( V_A_2 = V_B_2 % 193.94/194.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_order__refl,axiom, % 193.94/194.10 ! [V_x,T_a] : % 193.94/194.10 ( class_Orderings_Opreorder(T_a) % 193.94/194.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_triple_Orecs,axiom, % 193.94/194.10 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 193.94/194.10 % 193.94/194.10 fof(fact_triple_Osimps_I2_J,axiom, % 193.94/194.10 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 193.94/194.10 % 193.94/194.10 fof(fact_evaln__Suc,axiom, % 193.94/194.10 ! [V_s_H,V_n,V_s,V_c] : % 193.94/194.10 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) % 193.94/194.10 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_bot__apply,axiom, % 193.94/194.10 ! [V_x_2,T_c,T_b] : % 193.94/194.10 ( class_Orderings_Obot(T_b) % 193.94/194.10 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_le__fun__def,axiom, % 193.94/194.10 ! [V_g_2,V_f_2,T_b,T_c] : % 193.94/194.10 ( class_Orderings_Oord(T_c) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 193.94/194.10 <=> ! [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))) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_le__funD,axiom, % 193.94/194.10 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 193.94/194.10 ( class_Orderings_Oord(T_c) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 193.94/194.10 => 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))) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_le__funE,axiom, % 193.94/194.10 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 193.94/194.10 ( class_Orderings_Oord(T_c) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 193.94/194.10 => 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))) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_bot__least,axiom, % 193.94/194.10 ! [V_x,T_a] : % 193.94/194.10 ( class_Orderings_Obot(T_a) % 193.94/194.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_rev__predicate1D,axiom, % 193.94/194.10 ! [V_Q_2,T_b,V_x_2,V_P_2] : % 193.94/194.10 ( hBOOL(hAPP(V_P_2,V_x_2)) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 193.94/194.10 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_predicate1D,axiom, % 193.94/194.10 ! [V_x_2,V_Q_2,V_P_2,T_b] : % 193.94/194.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 193.94/194.10 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 193.94/194.10 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_evaln__nonstrict,axiom, % 193.94/194.10 ! [V_m,V_t,V_n,V_s,V_c] : % 193.94/194.10 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 193.94/194.10 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_linorder__le__cases,axiom, % 193.94/194.10 ! [V_y,V_x,T_a] : % 193.94/194.10 ( class_Orderings_Olinorder(T_a) % 193.94/194.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_xt1_I6_J,axiom, % 193.94/194.10 ! [V_z,V_x,V_y,T_a] : % 193.94/194.10 ( class_Orderings_Oorder(T_a) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 193.94/194.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 193.94/194.10 % 193.94/194.10 fof(fact_xt1_I5_J,axiom, % 193.94/194.11 ! [V_x,V_y,T_a] : % 193.94/194.11 ( class_Orderings_Oorder(T_a) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.11 => V_x = V_y ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_order__trans,axiom, % 193.94/194.11 ! [V_z,V_y,V_x,T_a] : % 193.94/194.11 ( class_Orderings_Opreorder(T_a) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_order__antisym,axiom, % 193.94/194.11 ! [V_y,V_x,T_a] : % 193.94/194.11 ( class_Orderings_Oorder(T_a) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.11 => V_x = V_y ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_xt1_I4_J,axiom, % 193.94/194.11 ! [V_c,V_a,V_b,T_a] : % 193.94/194.11 ( class_Orderings_Oorder(T_a) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 193.94/194.11 => ( V_b = V_c % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_ord__le__eq__trans,axiom, % 193.94/194.11 ! [V_c,V_b,V_a,T_a] : % 193.94/194.11 ( class_Orderings_Oord(T_a) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.11 => ( V_b = V_c % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_xt1_I3_J,axiom, % 193.94/194.11 ! [V_c,V_b,V_a,T_a] : % 193.94/194.11 ( class_Orderings_Oorder(T_a) % 193.94/194.11 => ( V_a = V_b % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_ord__eq__le__trans,axiom, % 193.94/194.11 ! [V_c,V_b,V_a,T_a] : % 193.94/194.11 ( class_Orderings_Oord(T_a) % 193.94/194.11 => ( V_a = V_b % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_order__antisym__conv,axiom, % 193.94/194.11 ! [V_x_2,V_y_2,T_b] : % 193.94/194.11 ( class_Orderings_Oorder(T_b) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.11 <=> V_x_2 = V_y_2 ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_order__eq__refl,axiom, % 193.94/194.11 ! [V_y,V_x,T_a] : % 193.94/194.11 ( class_Orderings_Opreorder(T_a) % 193.94/194.11 => ( V_x = V_y % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_order__eq__iff,axiom, % 193.94/194.11 ! [V_y_2,V_x_2,T_b] : % 193.94/194.11 ( class_Orderings_Oorder(T_b) % 193.94/194.11 => ( V_x_2 = V_y_2 % 193.94/194.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_linorder__linear,axiom, % 193.94/194.11 ! [V_y,V_x,T_a] : % 193.94/194.11 ( class_Orderings_Olinorder(T_a) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Suc__leD,axiom, % 193.94/194.11 ! [V_n,V_m] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__SucE,axiom, % 193.94/194.11 ! [V_n,V_m] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 193.94/194.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.11 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__SucI,axiom, % 193.94/194.11 ! [V_n,V_m] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Suc__le__mono,axiom, % 193.94/194.11 ! [V_m_2,V_n_2] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2))) % 193.94/194.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__Suc__eq,axiom, % 193.94/194.11 ! [V_n_2,V_m_2] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 193.94/194.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.11 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_not__less__eq__eq,axiom, % 193.94/194.11 ! [V_n_2,V_m_2] : % 193.94/194.11 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Suc__n__not__le__n,axiom, % 193.94/194.11 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Suc__inject,axiom, % 193.94/194.11 ! [V_y,V_x] : % 193.94/194.11 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 193.94/194.11 => V_x = V_y ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_nat_Oinject,axiom, % 193.94/194.11 ! [V_nat_H_2,V_nat_2] : % 193.94/194.11 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 193.94/194.11 <=> V_nat_2 = V_nat_H_2 ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Suc__n__not__n,axiom, % 193.94/194.11 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 193.94/194.11 % 193.94/194.11 fof(fact_n__not__Suc__n,axiom, % 193.94/194.11 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Powp__mono,axiom, % 193.94/194.11 ! [V_B_2,V_A_2,T_b] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.11 => 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))) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__refl,axiom, % 193.94/194.11 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 193.94/194.11 % 193.94/194.11 fof(fact_nat__le__linear,axiom, % 193.94/194.11 ! [V_n,V_m] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_eq__imp__le,axiom, % 193.94/194.11 ! [V_n,V_m] : % 193.94/194.11 ( V_m = V_n % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__trans,axiom, % 193.94/194.11 ! [V_k,V_j,V_i] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__antisym,axiom, % 193.94/194.11 ! [V_n,V_m] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 193.94/194.11 => V_m = V_n ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_lift__Suc__mono__le,axiom, % 193.94/194.11 ! [V_n_H_2,V_n_2,V_f_2,T_b] : % 193.94/194.11 ( class_Orderings_Oorder(T_b) % 193.94/194.11 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_n_H_2)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 193.94/194.11 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 193.94/194.11 ( class_Rings_Osemiring__1(T_b) % 193.94/194.11 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_SUP__subset,axiom, % 193.94/194.11 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.11 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.11 => 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))) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Sup__empty,axiom, % 193.94/194.11 ! [T_b] : % 193.94/194.11 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.11 => 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) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Pow__mono,axiom, % 193.94/194.11 ! [V_B_2,V_A_2,T_b] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.11 => 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))) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_mono__iff__le__Suc,axiom, % 193.94/194.11 ! [V_f_2,T_b] : % 193.94/194.11 ( class_Orderings_Oorder(T_b) % 193.94/194.11 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2) % 193.94/194.11 <=> ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Suc__le__D,axiom, % 193.94/194.11 ! [V_m_H,V_n] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_m_H)) % 193.94/194.11 => ? [B_m] : V_m_H = hAPP(c_Nat_OSuc,B_m) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Suc__le__D__lemma,axiom, % 193.94/194.11 ! [V_P_2,V_m_H_2,V_n_2] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_H_2)) % 193.94/194.11 => ( ! [B_m] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),B_m)) % 193.94/194.11 => hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_m))) ) % 193.94/194.11 => hBOOL(hAPP(V_P_2,V_m_H_2)) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Inter__anti__mono,axiom, % 193.94/194.11 ! [V_A_2,V_B_2,T_b] : % 193.94/194.11 ( 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)) % 193.94/194.11 => 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))) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__funI,axiom, % 193.94/194.11 ! [T_b,V_g_2,V_f_2,T_c] : % 193.94/194.11 ( class_Orderings_Oord(T_c) % 193.94/194.11 => ( ! [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))) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_nat__case__Suc,axiom, % 193.94/194.11 ! [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) ). % 193.94/194.11 % 193.94/194.11 fof(fact_strict__mono__less__eq,axiom, % 193.94/194.11 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 193.94/194.11 ( ( class_Orderings_Oorder(T_c) % 193.94/194.11 & class_Orderings_Olinorder(T_b) ) % 193.94/194.11 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 193.94/194.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Union__Pow__eq,axiom, % 193.94/194.11 ! [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 ). % 193.94/194.11 % 193.94/194.11 fof(fact_strict__mono__mono,axiom, % 193.94/194.11 ! [V_f_2,T_b,T_c] : % 193.94/194.11 ( ( class_Orderings_Oorder(T_c) % 193.94/194.11 & class_Orderings_Oorder(T_b) ) % 193.94/194.11 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 193.94/194.11 => c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Pow__not__empty,axiom, % 193.94/194.11 ! [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)) ). % 193.94/194.11 % 193.94/194.11 fof(fact_strict__mono__eq,axiom, % 193.94/194.11 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 193.94/194.11 ( ( class_Orderings_Oorder(T_c) % 193.94/194.11 & class_Orderings_Olinorder(T_b) ) % 193.94/194.11 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 193.94/194.11 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 193.94/194.11 <=> V_x_2 = V_y_2 ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_subset__Pow__Union,axiom, % 193.94/194.11 ! [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)))) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Union__empty,axiom, % 193.94/194.11 ! [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)) ). % 193.94/194.11 % 193.94/194.11 fof(fact_monoD,axiom, % 193.94/194.11 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 193.94/194.11 ( ( class_Orderings_Oorder(T_c) % 193.94/194.11 & class_Orderings_Oorder(T_b) ) % 193.94/194.11 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_mono__Suc,axiom, % 193.94/194.11 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Sup__le__iff,axiom, % 193.94/194.11 ! [V_b_2,V_A_2,T_b] : % 193.94/194.11 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.11 => ( 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)) % 193.94/194.11 <=> ! [B_x] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_le__Inf__iff,axiom, % 193.94/194.11 ! [V_A_2,V_b_2,T_b] : % 193.94/194.11 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.11 => ( 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))) % 193.94/194.11 <=> ! [B_x] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Union__mono,axiom, % 193.94/194.11 ! [V_B_2,V_A_2,T_b] : % 193.94/194.11 ( 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)) % 193.94/194.11 => 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))) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Inf__empty,axiom, % 193.94/194.11 ! [T_b] : % 193.94/194.11 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.11 => 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) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_PowI,axiom, % 193.94/194.11 ! [V_B_2,V_A_2,T_b] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_monoI,axiom, % 193.94/194.11 ! [V_f_2,T_b,T_c] : % 193.94/194.11 ( ( class_Orderings_Oorder(T_c) % 193.94/194.11 & class_Orderings_Oorder(T_b) ) % 193.94/194.11 => ( ! [B_x,B_y] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_y)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) ) % 193.94/194.11 => c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_hoare__derivs_Oinsert,axiom, % 193.94/194.11 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] : % 193.94/194.11 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 193.94/194.11 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) % 193.94/194.11 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_derivs__insertD,axiom, % 193.94/194.11 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] : % 193.94/194.11 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)) % 193.94/194.11 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 193.94/194.11 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Inter__lower,axiom, % 193.94/194.11 ! [V_A_2,V_B_2,T_b] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.11 => 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)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Inter__UNIV,axiom, % 193.94/194.11 ! [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)) ). % 193.94/194.11 % 193.94/194.11 fof(fact_PowD,axiom, % 193.94/194.11 ! [V_B_2,V_A_2,T_b] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Pow__iff,axiom, % 193.94/194.11 ! [V_B_2,V_A_2,T_b] : % 193.94/194.11 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 193.94/194.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Pow__bottom,axiom, % 193.94/194.11 ! [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))) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Inf__UNIV,axiom, % 193.94/194.11 ! [T_b] : % 193.94/194.11 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.11 => 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) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_Inf__lower,axiom, % 193.94/194.11 ! [V_A_2,V_x_2,T_b] : % 193.94/194.11 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.11 => 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)) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_equalityCE,axiom, % 193.94/194.11 ! [V_c_2,T_b,V_B_2,V_A_2] : % 193.94/194.11 ( V_A_2 = V_B_2 % 193.94/194.11 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.11 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 193.94/194.11 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 193.94/194.11 % 193.94/194.11 fof(fact_top1I,axiom, % 193.94/194.11 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 193.94/194.11 % 193.94/194.11 fof(fact_emptyE,axiom, % 193.94/194.11 ! [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)))) ). % 193.94/194.11 % 193.94/194.11 fof(fact_insertCI,axiom, % 193.94/194.11 ! [V_b_2,V_B_2,V_a_2,T_b] : % 193.94/194.11 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 193.94/194.11 => V_a_2 = V_b_2 ) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insertE,axiom, % 193.94/194.12 ! [V_A_2,V_b_2,V_a_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 193.94/194.12 => ( V_a_2 != V_b_2 % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subsetD,axiom, % 193.94/194.12 ! [V_c_2,V_B_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_UNIV__I,axiom, % 193.94/194.12 ! [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)))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_UnionI,axiom, % 193.94/194.12 ! [V_A_2,V_C_2,V_X_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 193.94/194.12 => 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))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_InterE,axiom, % 193.94/194.12 ! [V_X_2,V_C_2,V_A_2,T_b] : % 193.94/194.12 ( 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))) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_InterD,axiom, % 193.94/194.12 ! [V_X_2,V_C_2,V_A_2,T_b] : % 193.94/194.12 ( 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))) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Union__UNIV,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_eq__mem,axiom, % 193.94/194.12 ! [V_y_2,V_x_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 193.94/194.12 <=> V_x_2 = V_y_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_top__apply,axiom, % 193.94/194.12 ! [V_x_2,T_c,T_b] : % 193.94/194.12 ( class_Orderings_Otop(T_b) % 193.94/194.12 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_eq__mem__trans,axiom, % 193.94/194.12 ! [V_A_2,T_b,V_b_2,V_a_2] : % 193.94/194.12 ( V_a_2 = V_b_2 % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_eqelem__imp__iff,axiom, % 193.94/194.12 ! [V_A_2,T_b,V_y_2,V_x_2] : % 193.94/194.12 ( V_x_2 = V_y_2 % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_eqset__imp__iff,axiom, % 193.94/194.12 ! [V_x_2,T_b,V_B_2,V_A_2] : % 193.94/194.12 ( V_A_2 = V_B_2 % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__absorb,axiom, % 193.94/194.12 ! [V_A_2,V_a_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.12 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insertI2,axiom, % 193.94/194.12 ! [V_b_2,V_B_2,V_a_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__ident,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_x_2,T_b] : % 193.94/194.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 193.94/194.12 => ( 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) % 193.94/194.12 <=> V_A_2 = V_B_2 ) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__code,axiom, % 193.94/194.12 ! [V_x_2,V_A_2,V_y_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 193.94/194.12 <=> ( V_y_2 = V_x_2 % 193.94/194.12 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__iff,axiom, % 193.94/194.12 ! [V_A_2,V_b_2,V_a_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 193.94/194.12 <=> ( V_a_2 = V_b_2 % 193.94/194.12 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__commute,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__absorb2,axiom, % 193.94/194.12 ! [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) ). % 193.94/194.12 % 193.94/194.12 fof(fact_mem__def,axiom, % 193.94/194.12 ! [V_A_2,V_x_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insertI1,axiom, % 193.94/194.12 ! [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))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_singleton__iff,axiom, % 193.94/194.12 ! [V_a_2,V_b_2,T_b] : % 193.94/194.12 ( 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))))) % 193.94/194.12 <=> V_b_2 = V_a_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_singletonE,axiom, % 193.94/194.12 ! [V_a_2,V_b_2,T_b] : % 193.94/194.12 ( 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))))) % 193.94/194.12 => V_b_2 = V_a_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__subset,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_x_2,T_b] : % 193.94/194.12 ( 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)) % 193.94/194.12 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 193.94/194.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subset__insert,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_x_2,T_b] : % 193.94/194.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => ( 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))) % 193.94/194.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Pow__UNIV,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Sup__UNIV,axiom, % 193.94/194.12 ! [T_b] : % 193.94/194.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.12 => 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) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_empty__not__insert,axiom, % 193.94/194.12 ! [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) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__not__empty,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_doubleton__eq__iff,axiom, % 193.94/194.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 193.94/194.12 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 193.94/194.12 <=> ( ( V_a_2 = V_c_2 % 193.94/194.12 & V_b_2 = V_d_2 ) % 193.94/194.12 | ( V_a_2 = V_d_2 % 193.94/194.12 & V_b_2 = V_c_2 ) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_singleton__inject,axiom, % 193.94/194.12 ! [V_b_2,V_a_2,T_b] : % 193.94/194.12 ( 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))) % 193.94/194.12 => V_a_2 = V_b_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subset__insertI,axiom, % 193.94/194.12 ! [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))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subset__insertI2,axiom, % 193.94/194.12 ! [V_b_2,V_B_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.12 => 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))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__mono,axiom, % 193.94/194.12 ! [V_a_2,V_D_2,V_C_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 193.94/194.12 => 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))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_all__not__in__conv,axiom, % 193.94/194.12 ! [V_A_2,T_b] : % 193.94/194.12 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.12 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_ex__in__conv,axiom, % 193.94/194.12 ! [V_A_2,T_b] : % 193.94/194.12 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.12 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_empty__iff,axiom, % 193.94/194.12 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_equals0D,axiom, % 193.94/194.12 ! [V_a_2,T_b,V_A_2] : % 193.94/194.12 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_UNIV__not__empty,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_in__mono,axiom, % 193.94/194.12 ! [V_x_2,V_B_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_set__rev__mp,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_x_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_set__mp,axiom, % 193.94/194.12 ! [V_x_2,V_B_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Union__upper,axiom, % 193.94/194.12 ! [V_A_2,V_B_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.12 => 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))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subset__UNIV,axiom, % 193.94/194.12 ! [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)))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Pow__top,axiom, % 193.94/194.12 ! [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))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Inter__empty,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_top__greatest,axiom, % 193.94/194.12 ! [V_x,T_a] : % 193.94/194.12 ( class_Orderings_Otop(T_a) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subset__singletonD,axiom, % 193.94/194.12 ! [V_x_2,V_A_2,T_b] : % 193.94/194.12 ( 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))))) % 193.94/194.12 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.12 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Sup__singleton,axiom, % 193.94/194.12 ! [V_a_2,T_b] : % 193.94/194.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.12 => 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 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Inf__singleton,axiom, % 193.94/194.12 ! [V_a_2,T_b] : % 193.94/194.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.12 => 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 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Sup__upper,axiom, % 193.94/194.12 ! [V_A_2,V_x_2,T_b] : % 193.94/194.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => 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))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_the__elem__eq,axiom, % 193.94/194.12 ! [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 ). % 193.94/194.12 % 193.94/194.12 fof(fact_iso__tuple__UNIV__I,axiom, % 193.94/194.12 ! [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)))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_hoare__derivs_OSkip,axiom, % 193.94/194.12 ! [V_P_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 193.94/194.12 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_conseq2,axiom, % 193.94/194.12 ! [V_Q_2,V_Q_H_2,V_c_2,V_P_2,V_Ga_2,T_b] : % 193.94/194.12 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 193.94/194.12 => ( ! [B_Z,B_s] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 193.94/194.12 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) ) % 193.94/194.12 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_conseq1,axiom, % 193.94/194.12 ! [V_P_2,V_Q_2,V_c_2,V_P_H_2,V_Ga_2,T_b] : % 193.94/194.12 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 193.94/194.12 => ( ! [B_Z,B_s] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 193.94/194.12 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 193.94/194.12 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Inter__subset,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,T_b] : % 193.94/194.12 ( ! [B_X] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 193.94/194.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 193.94/194.12 => 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)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Comp,axiom, % 193.94/194.12 ! [V_R_2,V_d_2,V_Q_2,V_c_2,V_P_2,V_Ga_2,T_b] : % 193.94/194.12 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 193.94/194.12 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 193.94/194.12 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_InterI,axiom, % 193.94/194.12 ! [V_A_2,V_C_2,T_b] : % 193.94/194.12 ( ! [B_X] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 193.94/194.12 => 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))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_UnionE,axiom, % 193.94/194.12 ! [V_C_2,V_A_2,T_b] : % 193.94/194.12 ( 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))) % 193.94/194.12 => ~ ! [B_X] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 193.94/194.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Inter__greatest,axiom, % 193.94/194.12 ! [V_C_2,V_A_2,T_b] : % 193.94/194.12 ( ! [B_X] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),B_X)) ) % 193.94/194.12 => 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))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_evaln_OSemi,axiom, % 193.94/194.12 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 193.94/194.12 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) % 193.94/194.12 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2) % 193.94/194.12 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_evaln__elim__cases_I1_J,axiom, % 193.94/194.12 ! [V_t,V_n,V_s] : % 193.94/194.12 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) % 193.94/194.12 => V_t = V_s ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_evaln_OSkip,axiom, % 193.94/194.12 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ). % 193.94/194.12 % 193.94/194.12 fof(fact_evaln_Oequations_I4_J,axiom, % 193.94/194.12 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 193.94/194.12 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2) % 193.94/194.12 <=> ? [B_s1] : % 193.94/194.12 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1) % 193.94/194.12 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_evaln_Oequations_I1_J,axiom, % 193.94/194.12 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Pow__empty,axiom, % 193.94/194.12 ! [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))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_com_Osimps_I13_J,axiom, % 193.94/194.12 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 193.94/194.12 % 193.94/194.12 fof(fact_com_Osimps_I12_J,axiom, % 193.94/194.12 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 193.94/194.12 % 193.94/194.12 fof(fact_com_Osimps_I3_J,axiom, % 193.94/194.12 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 193.94/194.12 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 193.94/194.12 <=> ( V_com1_2 = V_com1_H_2 % 193.94/194.12 & V_com2_2 = V_com2_H_2 ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Union__least,axiom, % 193.94/194.12 ! [V_C_2,V_A_2,T_b] : % 193.94/194.12 ( ! [B_X] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) % 193.94/194.12 => 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)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_diff__single__insert,axiom, % 193.94/194.12 ! [V_B_2,V_x_2,V_A_2,T_b] : % 193.94/194.12 ( 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)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => 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))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subset__insert__iff,axiom, % 193.94/194.12 ! [V_B_2,V_x_2,V_A_2,T_b] : % 193.94/194.12 ( 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))) % 193.94/194.12 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => 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)) ) % 193.94/194.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Inf__greatest,axiom, % 193.94/194.12 ! [V_z_2,V_A_2,T_b] : % 193.94/194.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.12 => ( ! [B_x] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),B_x)) ) % 193.94/194.12 => 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))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Sup__least,axiom, % 193.94/194.12 ! [V_z_2,V_A_2,T_b] : % 193.94/194.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.12 => ( ! [B_x] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_z_2)) ) % 193.94/194.12 => 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)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_evaln__elim__cases_I4_J,axiom, % 193.94/194.12 ! [V_t,V_n,V_s,V_c2,V_c1] : % 193.94/194.12 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t) % 193.94/194.12 => ~ ! [B_s1] : % 193.94/194.12 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1) % 193.94/194.12 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_subsetI,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,T_b] : % 193.94/194.12 ( ! [B_x] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) ) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Inf__binary,axiom, % 193.94/194.12 ! [V_b_2,V_a_2,T_b] : % 193.94/194.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.12 => 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) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_IntE,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_IntI,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_DiffE,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_DiffI,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__Int2,axiom, % 193.94/194.12 ! [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) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__Int__distrib2,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__Diff,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__idemp,axiom, % 193.94/194.12 ! [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) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__Int__distrib,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__disjoint,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__triv,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,T_b] : % 193.94/194.12 ( 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)) % 193.94/194.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Pow__Int__eq,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Union__Int__subset,axiom, % 193.94/194.12 ! [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)))) ). % 193.94/194.12 % 193.94/194.12 fof(fact_DiffD2,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_DiffD1,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__iff,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.12 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_IntD2,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_IntD1,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__iff,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.12 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.12 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_empty__Diff,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__empty,axiom, % 193.94/194.12 ! [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 ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__cancel,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__empty__left,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__empty__right,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_disjoint__iff__not__equal,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,T_b] : % 193.94/194.12 ( 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)) % 193.94/194.12 <=> ! [B_x] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.12 => ! [B_xa] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 193.94/194.12 => B_x != B_xa ) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__subset,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Diff__mono,axiom, % 193.94/194.12 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 193.94/194.12 => 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))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_double__diff,axiom, % 193.94/194.12 ! [V_C_2,V_B_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 193.94/194.12 => 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 ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__inter__insert,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_mono__Int,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 193.94/194.12 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 193.94/194.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__lower1,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__lower2,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__absorb2,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__absorb1,axiom, % 193.94/194.12 ! [V_A_2,V_B_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__greatest,axiom, % 193.94/194.12 ! [V_B_2,V_A_2,V_C_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 193.94/194.12 => 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))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__mono,axiom, % 193.94/194.12 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 193.94/194.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 193.94/194.12 => 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))) ) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__UNIV__right,axiom, % 193.94/194.12 ! [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 ). % 193.94/194.12 % 193.94/194.12 fof(fact_Int__UNIV__left,axiom, % 193.94/194.12 ! [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 ). % 193.94/194.12 % 193.94/194.12 fof(fact_Inter__insert,axiom, % 193.94/194.12 ! [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)) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__Diff1,axiom, % 193.94/194.12 ! [V_A_2,V_B_2,V_x_2,T_b] : % 193.94/194.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 193.94/194.12 => 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) ) ). % 193.94/194.12 % 193.94/194.12 fof(fact_insert__Diff__if,axiom, % 193.94/194.12 ! [V_A_2,V_B_2,V_x_2,T_b] : % 193.94/194.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 193.94/194.13 => 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) ) % 193.94/194.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 193.94/194.13 => 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Diff__insert,axiom, % 193.94/194.13 ! [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)))) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Diff__insert2,axiom, % 193.94/194.13 ! [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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_insert__Diff__single,axiom, % 193.94/194.13 ! [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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__insert__left__if1,axiom, % 193.94/194.13 ! [V_B_2,V_C_2,V_a_2,T_b] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__insert__right__if1,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,V_a_2,T_b] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__insert__left__if0,axiom, % 193.94/194.13 ! [V_B_2,V_C_2,V_a_2,T_b] : % 193.94/194.13 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__insert__right__if0,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,V_a_2,T_b] : % 193.94/194.13 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__insert__left,axiom, % 193.94/194.13 ! [V_B_2,V_C_2,V_a_2,T_b] : % 193.94/194.13 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 193.94/194.13 => 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)) ) % 193.94/194.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 193.94/194.13 => 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) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__insert__right,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,V_a_2,T_b] : % 193.94/194.13 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.13 => 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)) ) % 193.94/194.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.13 => 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) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Diff__UNIV,axiom, % 193.94/194.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Inf__insert,axiom, % 193.94/194.13 ! [V_A_2,V_a_2,T_b] : % 193.94/194.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Union__disjoint,axiom, % 193.94/194.13 ! [V_A_2,V_C_2,T_b] : % 193.94/194.13 ( 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)) % 193.94/194.13 <=> ! [B_x] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 193.94/194.13 => 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__eq__Inter,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = 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))))) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Diff__insert__absorb,axiom, % 193.94/194.13 ! [V_A_2,V_x_2,T_b] : % 193.94/194.13 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.13 => 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 ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_insert__Diff,axiom, % 193.94/194.13 ! [V_A_2,V_a_2,T_b] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.13 => 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 ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_mono__inf,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 193.94/194.13 ( ( class_Lattices_Osemilattice__inf(T_c) % 193.94/194.13 & class_Lattices_Osemilattice__inf(T_b) ) % 193.94/194.13 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_minus__apply,axiom, % 193.94/194.13 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 193.94/194.13 ( class_Groups_Ominus(T_b) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__top__left,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Obounded__lattice__top(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__top__right,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Obounded__lattice__top(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__eq__top__iff,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Lattices_Obounded__lattice__top(T_b) % 193.94/194.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 193.94/194.13 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 193.94/194.13 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__bot__left,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Obounded__lattice__bot(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__bot__right,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Obounded__lattice__bot(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__ord_I1_J,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__le1,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__ord_I2_J,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__le2,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf1E,axiom, % 193.94/194.13 ! [V_x_2,V_B_2,V_A_2,T_b] : % 193.94/194.13 ( 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)) % 193.94/194.13 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 193.94/194.13 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf1I,axiom, % 193.94/194.13 ! [T_b,V_B_2,V_x_2,V_A_2] : % 193.94/194.13 ( hBOOL(hAPP(V_A_2,V_x_2)) % 193.94/194.13 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 193.94/194.13 => 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf1D2,axiom, % 193.94/194.13 ! [V_x_2,V_B_2,V_A_2,T_b] : % 193.94/194.13 ( 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)) % 193.94/194.13 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf1D1,axiom, % 193.94/194.13 ! [V_x_2,V_B_2,V_A_2,T_b] : % 193.94/194.13 ( 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)) % 193.94/194.13 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__assoc,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__left__commute,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__left__absorb,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__commute,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Int__absorb,axiom, % 193.94/194.13 ! [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 ). % 193.94/194.13 % 193.94/194.13 fof(fact_Suc__diff__diff,axiom, % 193.94/194.13 ! [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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__Suc__Suc,axiom, % 193.94/194.13 ! [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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__diff__iff,axiom, % 193.94/194.13 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Nat_Odiff__diff__eq,axiom, % 193.94/194.13 ! [V_n,V_m,V_k] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 193.94/194.13 => 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) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_eq__diff__iff,axiom, % 193.94/194.13 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 193.94/194.13 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2) % 193.94/194.13 <=> V_m_2 = V_n_2 ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__diff__cancel,axiom, % 193.94/194.13 ! [V_n,V_i] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 193.94/194.13 => 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 ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__le__mono,axiom, % 193.94/194.13 ! [V_l,V_n,V_m] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.13 => 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))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__le__mono2,axiom, % 193.94/194.13 ! [V_l,V_n,V_m] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.13 => 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))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__le__self,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Suc__diff__le,axiom, % 193.94/194.13 ! [V_m,V_n] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__apply,axiom, % 193.94/194.13 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 193.94/194.13 ( class_Lattices_Olattice(T_b) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__assoc,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I2_J,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf_Oassoc,axiom, % 193.94/194.13 ! [V_c,V_b,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__left__commute,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I3_J,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf_Oleft__commute,axiom, % 193.94/194.13 ! [V_c,V_a,V_b,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__left__idem,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I4_J,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf_Oleft__idem,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__commute,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I1_J,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf_Ocommute,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__idem,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf_Oidem,axiom, % 193.94/194.13 ! [V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__infE,axiom, % 193.94/194.13 ! [V_b,V_a,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( 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))) % 193.94/194.13 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__mono,axiom, % 193.94/194.13 ! [V_d,V_b,V_c,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 193.94/194.13 => 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))) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__greatest,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 193.94/194.13 => 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))) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__infI,axiom, % 193.94/194.13 ! [V_b,V_a,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 193.94/194.13 => 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))) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__absorb2,axiom, % 193.94/194.13 ! [V_x,V_y,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__absorb1,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__infI2,axiom, % 193.94/194.13 ! [V_a,V_x,V_b,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 193.94/194.13 => 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__infI1,axiom, % 193.94/194.13 ! [V_b,V_x,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 193.94/194.13 => 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__inf__iff,axiom, % 193.94/194.13 ! [V_z_2,V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_b) % 193.94/194.13 => ( 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))) % 193.94/194.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__iff__inf,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Lattices_Osemilattice__inf(T_b) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.13 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__eq__diff__less__eq,axiom, % 193.94/194.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_psubset__insert__iff,axiom, % 193.94/194.13 ! [V_B_2,V_x_2,V_A_2,T_b] : % 193.94/194.13 ( 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))) % 193.94/194.13 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 193.94/194.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 193.94/194.13 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.13 => 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)) ) % 193.94/194.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 193.94/194.13 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.13 => ( 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) % 193.94/194.13 => 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_insert__partition,axiom, % 193.94/194.13 ! [V_F_2,V_x_2,T_b] : % 193.94/194.13 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 193.94/194.13 => ( ! [B_x] : % 193.94/194.13 ( 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))) % 193.94/194.13 => ! [B_xa] : % 193.94/194.13 ( 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))) % 193.94/194.13 => ( B_x != B_xa % 193.94/194.13 => 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)) ) ) ) % 193.94/194.13 => 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Inter__Un__subset,axiom, % 193.94/194.13 ! [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)))) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Un__eq__Union,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = 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))))) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Inf__fin_Oidem,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__eq__diff__eq,axiom, % 193.94/194.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Oab__group__add(T_b) % 193.94/194.13 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 193.94/194.13 => ( V_a_2 = V_b_2 % 193.94/194.13 <=> V_c_2 = V_d_2 ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Diff1__fold__graph,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.13 ( 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)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.13 => 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Omono__inf,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 193.94/194.13 ( ( class_Lattices_Osemilattice__inf(T_c) % 193.94/194.13 & class_Orderings_Olinorder(T_b) ) % 193.94/194.13 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_disjoint__eq__subset__Compl,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : % 193.94/194.13 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.13 <=> 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))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup1CI,axiom, % 193.94/194.13 ! [T_b,V_A_2,V_x_2,V_B_2] : % 193.94/194.13 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 193.94/194.13 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup1E,axiom, % 193.94/194.13 ! [V_x_2,V_B_2,V_A_2,T_b] : % 193.94/194.13 ( 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)) % 193.94/194.13 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 193.94/194.13 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_UnCI,axiom, % 193.94/194.13 ! [V_A_2,V_B_2,V_c_2,T_b] : % 193.94/194.13 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_UnE,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_ComplI,axiom, % 193.94/194.13 ! [V_A_2,V_c_2,T_b] : % 193.94/194.13 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_compl__inf,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_compl__sup,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__diff,axiom, % 193.94/194.13 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__commute,axiom, % 193.94/194.13 ! [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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oless__infI2,axiom, % 193.94/194.13 ! [V_a,V_x,V_b,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oless__infI1,axiom, % 193.94/194.13 ! [V_b,V_x,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_less__supI2,axiom, % 193.94/194.13 ! [V_a,V_b,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 193.94/194.13 => 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_less__supI1,axiom, % 193.94/194.13 ! [V_b,V_a,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 193.94/194.13 => 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__apply,axiom, % 193.94/194.13 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 193.94/194.13 ( class_Lattices_Olattice(T_b) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__assoc,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I6_J,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup_Oassoc,axiom, % 193.94/194.13 ! [V_c,V_b,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf__assoc,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf_Oassoc,axiom, % 193.94/194.13 ! [V_c,V_b,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_compl__eq__compl__iff,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_b) % 193.94/194.13 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 193.94/194.13 <=> V_x_2 = V_y_2 ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__left__commute,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I7_J,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup_Oleft__commute,axiom, % 193.94/194.13 ! [V_c,V_a,V_b,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf__left__commute,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 193.94/194.13 ! [V_c,V_a,V_b,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__left__idem,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I8_J,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup_Oleft__idem,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf__left__idem,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__commute,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__aci_I5_J,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup_Ocommute,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf__commute,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf_Ocommute,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_uminus__apply,axiom, % 193.94/194.13 ! [V_x_2,V_A_2,T_c,T_b] : % 193.94/194.13 ( class_Groups_Ouminus(T_b) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__idem,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup_Oidem,axiom, % 193.94/194.13 ! [V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf_Oidem,axiom, % 193.94/194.13 ! [V_a,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_double__compl,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.13 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_compl__sup__top,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__compl__top,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_linorder__cases,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => ( V_x != V_y % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__asym,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Opreorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_xt1_I10_J,axiom, % 193.94/194.13 ! [V_z,V_x,V_y,T_a] : % 193.94/194.13 ( class_Orderings_Oorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__trans,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Opreorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_xt1_I2_J,axiom, % 193.94/194.13 ! [V_c,V_a,V_b,T_a] : % 193.94/194.13 ( class_Orderings_Oorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 193.94/194.13 => ( V_b = V_c % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_ord__less__eq__trans,axiom, % 193.94/194.13 ! [V_c,V_b,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Oord(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 193.94/194.13 => ( V_b = V_c % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_xt1_I1_J,axiom, % 193.94/194.13 ! [V_c,V_b,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Oorder(T_a) % 193.94/194.13 => ( V_a = V_b % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_ord__eq__less__trans,axiom, % 193.94/194.13 ! [V_c,V_b,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Oord(T_a) % 193.94/194.13 => ( V_a = V_b % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_xt1_I9_J,axiom, % 193.94/194.13 ! [V_a,V_b,T_a] : % 193.94/194.13 ( class_Orderings_Oorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__asym_H,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Orderings_Opreorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__imp__not__eq2,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Oorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => V_y != V_x ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__imp__not__eq,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Oorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => V_x != V_y ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__imp__not__less,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Opreorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__not__sym,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Opreorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_less__imp__neq,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Oorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => V_x != V_y ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup1I2,axiom, % 193.94/194.13 ! [V_A_2,T_b,V_x_2,V_B_2] : % 193.94/194.13 ( hBOOL(hAPP(V_B_2,V_x_2)) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup1I1,axiom, % 193.94/194.13 ! [V_B_2,T_b,V_x_2,V_A_2] : % 193.94/194.13 ( hBOOL(hAPP(V_A_2,V_x_2)) % 193.94/194.13 => 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)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_linorder__neqE,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => ( V_x != V_y % 193.94/194.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_linorder__antisym__conv3,axiom, % 193.94/194.13 ! [V_x_2,V_y_2,T_b] : % 193.94/194.13 ( class_Orderings_Olinorder(T_b) % 193.94/194.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 193.94/194.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.13 <=> V_x_2 = V_y_2 ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__less__iff__disj,axiom, % 193.94/194.13 ! [V_z_2,V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Orderings_Olinorder(T_b) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 193.94/194.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 193.94/194.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__less__iff__conj,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,V_z_2,T_b] : % 193.94/194.13 ( class_Orderings_Olinorder(T_b) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2))) % 193.94/194.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 193.94/194.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_linorder__less__linear,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.13 | V_x = V_y % 193.94/194.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_not__less__iff__gr__or__eq,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Orderings_Olinorder(T_b) % 193.94/194.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 193.94/194.13 | V_x_2 = V_y_2 ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_linorder__neq__iff,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Orderings_Olinorder(T_b) % 193.94/194.13 => ( V_x_2 != V_y_2 % 193.94/194.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_order__less__irrefl,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Orderings_Opreorder(T_a) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_minus__minus,axiom, % 193.94/194.13 ! [V_a,T_a] : % 193.94/194.13 ( class_Groups_Ogroup__add(T_a) % 193.94/194.13 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Min_Oidem,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Sup__fin_Oidem,axiom, % 193.94/194.13 ! [V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_equation__minus__iff,axiom, % 193.94/194.13 ! [V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Ogroup__add(T_b) % 193.94/194.13 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 193.94/194.13 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_less__minus__iff,axiom, % 193.94/194.13 ! [V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_minus__equation__iff,axiom, % 193.94/194.13 ! [V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Ogroup__add(T_b) % 193.94/194.13 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 193.94/194.13 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_minus__less__iff,axiom, % 193.94/194.13 ! [V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_neg__equal__iff__equal,axiom, % 193.94/194.13 ! [V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Ogroup__add(T_b) % 193.94/194.13 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 193.94/194.13 <=> V_a_2 = V_b_2 ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_neg__less__iff__less,axiom, % 193.94/194.13 ! [V_a_2,V_b_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( 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))) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_psubset__trans,axiom, % 193.94/194.13 ! [V_C_2,V_B_2,V_A_2,T_b] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_ball__Un,axiom, % 193.94/194.13 ! [V_P_2,V_B_2,V_A_2,T_b] : % 193.94/194.13 ( ! [B_x] : % 193.94/194.13 ( 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))) % 193.94/194.13 => hBOOL(hAPP(V_P_2,B_x)) ) % 193.94/194.13 <=> ( ! [B_x] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.13 => hBOOL(hAPP(V_P_2,B_x)) ) % 193.94/194.13 & ! [B_x] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 193.94/194.13 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_bex__Un,axiom, % 193.94/194.13 ! [V_P_2,V_B_2,V_A_2,T_b] : % 193.94/194.13 ( ? [B_x] : % 193.94/194.13 ( 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))) % 193.94/194.13 & hBOOL(hAPP(V_P_2,B_x)) ) % 193.94/194.13 <=> ( ? [B_x] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.13 & hBOOL(hAPP(V_P_2,B_x)) ) % 193.94/194.13 | ? [B_x] : % 193.94/194.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 193.94/194.13 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Un__assoc,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Compl__eq__Compl__iff,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : % 193.94/194.13 ( 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) % 193.94/194.13 <=> V_A_2 = V_B_2 ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Un__left__commute,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Un__left__absorb,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Un__commute,axiom, % 193.94/194.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Un__absorb,axiom, % 193.94/194.13 ! [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 ). % 193.94/194.13 % 193.94/194.13 fof(fact_double__complement,axiom, % 193.94/194.13 ! [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 ). % 193.94/194.13 % 193.94/194.13 fof(fact_Compl__partition2,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Compl__partition,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Compl__Int,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Compl__Un,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Compl__Diff__eq,axiom, % 193.94/194.13 ! [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) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__minus__iff,axiom, % 193.94/194.13 ! [V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( 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))) % 193.94/194.13 <=> 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_minus__le__iff,axiom, % 193.94/194.13 ! [V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( 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)) % 193.94/194.13 <=> 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)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_neg__le__iff__le,axiom, % 193.94/194.13 ! [V_a_2,V_b_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( 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))) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__imp__neg__le,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.13 => 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_Union__Un__distrib,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_minus__diff__eq,axiom, % 193.94/194.13 ! [V_b,V_a,T_a] : % 193.94/194.13 ( class_Groups_Oab__group__add(T_a) % 193.94/194.13 => 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) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__diff__distrib__left,axiom, % 193.94/194.13 ! [V_z,V_y,V_x,T_a] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_a) % 193.94/194.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_diff__eq__diff__less,axiom, % 193.94/194.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 193.94/194.13 ( class_Groups_Oordered__ab__group__add(T_b) % 193.94/194.13 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_fold__graph_Oequations_I1_J,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_fold__graph_OemptyI,axiom, % 193.94/194.13 ! [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)) ). % 193.94/194.13 % 193.94/194.13 fof(fact_empty__fold__graphE,axiom, % 193.94/194.13 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.13 ( 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)) % 193.94/194.13 => V_x_2 = V_z_2 ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__ord_I3_J,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__ge1,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_inf__sup__ord_I4_J,axiom, % 193.94/194.13 ! [V_x,V_y,T_a] : % 193.94/194.13 ( class_Lattices_Olattice(T_a) % 193.94/194.13 => 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))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__ge2,axiom, % 193.94/194.13 ! [V_x,V_y,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => 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))) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__iff__sup,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_b) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.13 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__sup__iff,axiom, % 193.94/194.13 ! [V_z_2,V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_b) % 193.94/194.13 => ( 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)) % 193.94/194.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 193.94/194.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__supI1,axiom, % 193.94/194.13 ! [V_b,V_a,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 193.94/194.13 => 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__supI2,axiom, % 193.94/194.13 ! [V_a,V_b,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 193.94/194.13 => 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__absorb2,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__absorb1,axiom, % 193.94/194.13 ! [V_x,V_y,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__supI,axiom, % 193.94/194.13 ! [V_b,V_x,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 193.94/194.13 => 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)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__least,axiom, % 193.94/194.13 ! [V_z,V_x,V_y,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 193.94/194.13 => 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)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_sup__mono,axiom, % 193.94/194.13 ! [V_d,V_b,V_c,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 193.94/194.13 => 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))) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_le__supE,axiom, % 193.94/194.13 ! [V_x,V_b,V_a,T_a] : % 193.94/194.13 ( class_Lattices_Osemilattice__sup(T_a) % 193.94/194.13 => ( 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)) % 193.94/194.13 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 193.94/194.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_compl__le__compl__iff,axiom, % 193.94/194.13 ! [V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_b) % 193.94/194.13 => ( 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))) % 193.94/194.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_compl__mono,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.13 => 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))) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__le__iff__disj,axiom, % 193.94/194.13 ! [V_z_2,V_y_2,V_x_2,T_b] : % 193.94/194.13 ( class_Orderings_Olinorder(T_b) % 193.94/194.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 193.94/194.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 193.94/194.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 193.94/194.13 % 193.94/194.13 fof(fact_min__max_Oinf__le1,axiom, % 193.94/194.13 ! [V_y,V_x,T_a] : % 193.94/194.13 ( class_Orderings_Olinorder(T_a) % 193.94/194.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Oinf__le2,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Ole__iff__inf,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Ole__inf__iff,axiom, % 193.94/194.14 ! [V_z_2,V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( 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))) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Ole__infI1,axiom, % 193.94/194.14 ! [V_b,V_x,V_a,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 193.94/194.14 => 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)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Ole__infI2,axiom, % 193.94/194.14 ! [V_a,V_x,V_b,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 193.94/194.14 => 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)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Oinf__absorb1,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Oinf__absorb2,axiom, % 193.94/194.14 ! [V_x,V_y,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Ole__infI,axiom, % 193.94/194.14 ! [V_b,V_a,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 193.94/194.14 => 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))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Oinf__greatest,axiom, % 193.94/194.14 ! [V_z,V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 193.94/194.14 => 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))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Oinf__mono,axiom, % 193.94/194.14 ! [V_d,V_b,V_c,V_a,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 193.94/194.14 => 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))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_Ole__infE,axiom, % 193.94/194.14 ! [V_b,V_a,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( 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))) % 193.94/194.14 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 193.94/194.14 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__bot__left,axiom, % 193.94/194.14 ! [V_x,T_a] : % 193.94/194.14 ( class_Lattices_Obounded__lattice__bot(T_a) % 193.94/194.14 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__bot__right,axiom, % 193.94/194.14 ! [V_x,T_a] : % 193.94/194.14 ( class_Lattices_Obounded__lattice__bot(T_a) % 193.94/194.14 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__eq__bot__iff,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Lattices_Obounded__lattice__bot(T_b) % 193.94/194.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 193.94/194.14 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 193.94/194.14 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_ComplE,axiom, % 193.94/194.14 ! [V_A_2,V_c_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 193.94/194.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_ComplD,axiom, % 193.94/194.14 ! [V_A_2,V_c_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 193.94/194.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__iff,axiom, % 193.94/194.14 ! [V_A_2,V_c_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 193.94/194.14 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_inf__sup__absorb,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Olattice(T_a) % 193.94/194.14 => 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 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__inf__absorb,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Olattice(T_a) % 193.94/194.14 => 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 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_inf__sup__distrib1,axiom, % 193.94/194.14 ! [V_z,V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Odistrib__lattice(T_a) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__inf__distrib1,axiom, % 193.94/194.14 ! [V_z,V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Odistrib__lattice(T_a) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_inf__sup__distrib2,axiom, % 193.94/194.14 ! [V_x,V_z,V_y,T_a] : % 193.94/194.14 ( class_Lattices_Odistrib__lattice(T_a) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__inf__distrib2,axiom, % 193.94/194.14 ! [V_x,V_z,V_y,T_a] : % 193.94/194.14 ( class_Lattices_Odistrib__lattice(T_a) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__top__left,axiom, % 193.94/194.14 ! [V_x,T_a] : % 193.94/194.14 ( class_Lattices_Obounded__lattice__top(T_a) % 193.94/194.14 => 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) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_sup__top__right,axiom, % 193.94/194.14 ! [V_x,T_a] : % 193.94/194.14 ( class_Lattices_Obounded__lattice__top(T_a) % 193.94/194.14 => 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) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 193.94/194.14 ! [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) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 193.94/194.14 ! [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) ). % 193.94/194.14 % 193.94/194.14 fof(fact_inf__min,axiom, % 193.94/194.14 ! [T_b] : % 193.94/194.14 ( ( class_Lattices_Osemilattice__inf(T_b) % 193.94/194.14 & class_Orderings_Olinorder(T_b) ) % 193.94/194.14 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_UnI2,axiom, % 193.94/194.14 ! [V_A_2,V_B_2,V_c_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_UnI1,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__iff,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,V_c_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.14 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__Suc__Suc,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__fun__def,axiom, % 193.94/194.14 ! [V_g_2,V_f_2,T_b,T_c] : % 193.94/194.14 ( class_Orderings_Oord(T_c) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 193.94/194.14 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__subset__Compl__iff,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__anti__mono,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_linorder__not__less,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_linorder__not__le,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_linorder__le__less__linear,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__less__le,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Oorder(T_b) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 & V_x_2 != V_y_2 ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__le__not__le,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Opreorder(T_b) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__le__less,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Oorder(T_b) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.14 | V_x_2 = V_y_2 ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_leI,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_not__leE,axiom, % 193.94/194.14 ! [V_x,V_y,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_linorder__antisym__conv1,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> V_x_2 = V_y_2 ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__neq__le__trans,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Orderings_Oorder(T_a) % 193.94/194.14 => ( V_a != V_b % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_xt1_I12_J,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Orderings_Oorder(T_a) % 193.94/194.14 => ( V_a != V_b % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_leD,axiom, % 193.94/194.14 ! [V_x,V_y,T_a] : % 193.94/194.14 ( class_Orderings_Olinorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.14 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__less__imp__le,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Opreorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_linorder__antisym__conv2,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.14 <=> V_x_2 = V_y_2 ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__le__imp__less__or__eq,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Oorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.14 | V_x = V_y ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__le__neq__trans,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Orderings_Oorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.14 => ( V_a != V_b % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_xt1_I11_J,axiom, % 193.94/194.14 ! [V_a,V_b,T_a] : % 193.94/194.14 ( class_Orderings_Oorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 193.94/194.14 => ( V_a != V_b % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__less__le__trans,axiom, % 193.94/194.14 ! [V_z,V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Opreorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_xt1_I7_J,axiom, % 193.94/194.14 ! [V_z,V_x,V_y,T_a] : % 193.94/194.14 ( class_Orderings_Oorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_order__le__less__trans,axiom, % 193.94/194.14 ! [V_z,V_y,V_x,T_a] : % 193.94/194.14 ( class_Orderings_Opreorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_xt1_I8_J,axiom, % 193.94/194.14 ! [V_z,V_x,V_y,T_a] : % 193.94/194.14 ( class_Orderings_Oorder(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__empty__left,axiom, % 193.94/194.14 ! [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 ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__empty__right,axiom, % 193.94/194.14 ! [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 ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__empty,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( 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)) % 193.94/194.14 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_psubsetD,axiom, % 193.94/194.14 ! [V_c_2,V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__insert__left,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__insert__right,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__upper1,axiom, % 193.94/194.14 ! [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))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__upper2,axiom, % 193.94/194.14 ! [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))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_subset__Un__eq,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__absorb1,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__absorb2,axiom, % 193.94/194.14 ! [V_A_2,V_B_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.14 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__least,axiom, % 193.94/194.14 ! [V_B_2,V_C_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 193.94/194.14 => 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)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__mono,axiom, % 193.94/194.14 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 193.94/194.14 => 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))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__UNIV__right,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__UNIV__left,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_not__psubset__empty,axiom, % 193.94/194.14 ! [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)))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Int__Un__distrib,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Int__distrib,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Int__Un__distrib2,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Int__distrib2,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Int__crazy,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__infI1,axiom, % 193.94/194.14 ! [V_b,V_x,V_a,T_a] : % 193.94/194.14 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 193.94/194.14 => 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)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__infI2,axiom, % 193.94/194.14 ! [V_a,V_x,V_b,T_a] : % 193.94/194.14 ( class_Lattices_Osemilattice__inf(T_a) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 193.94/194.14 => 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)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Diff,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Diff__cancel2,axiom, % 193.94/194.14 ! [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) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Diff__cancel,axiom, % 193.94/194.14 ! [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) ). % 193.94/194.14 % 193.94/194.14 fof(fact_psubset__eq,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 & V_A_2 != V_B_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_subset__iff__psubset__eq,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 | V_A_2 = V_B_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_psubset__imp__subset,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_psubset__subset__trans,axiom, % 193.94/194.14 ! [V_C_2,V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_subset__psubset__trans,axiom, % 193.94/194.14 ! [V_C_2,V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Pow__subset,axiom, % 193.94/194.14 ! [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)))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__of__mono,axiom, % 193.94/194.14 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 193.94/194.14 ( ( class_Orderings_Olinorder(T_c) % 193.94/194.14 & class_Orderings_Olinorder(T_b) ) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 193.94/194.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_m_2),V_n_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__Sup__iff,axiom, % 193.94/194.14 ! [V_S_2,V_a_2,T_b] : % 193.94/194.14 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 & class_Orderings_Olinorder(T_b) ) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 193.94/194.14 <=> ? [B_x] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 193.94/194.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Inf__less__iff,axiom, % 193.94/194.14 ! [V_a_2,V_S_2,T_b] : % 193.94/194.14 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 & class_Orderings_Olinorder(T_b) ) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 193.94/194.14 <=> ? [B_x] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 193.94/194.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_compl__unique,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 193.94/194.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 193.94/194.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold__graph_OinsertI,axiom, % 193.94/194.14 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 193.94/194.14 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 193.94/194.14 => 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))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_strict__monoD,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 193.94/194.14 ( ( class_Orderings_Oorder(T_c) % 193.94/194.14 & class_Orderings_Oorder(T_b) ) % 193.94/194.14 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_strict__mono__less,axiom, % 193.94/194.14 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 193.94/194.14 ( ( class_Orderings_Oorder(T_c) % 193.94/194.14 & class_Orderings_Olinorder(T_b) ) % 193.94/194.14 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_distrib__inf__le,axiom, % 193.94/194.14 ! [V_z,V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Olattice(T_a) % 193.94/194.14 => 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)))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_distrib__sup__le,axiom, % 193.94/194.14 ! [V_z,V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Olattice(T_a) % 193.94/194.14 => 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)))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_compl__inf__bot,axiom, % 193.94/194.14 ! [V_x,T_a] : % 193.94/194.14 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_inf__compl__bot,axiom, % 193.94/194.14 ! [V_x,T_a] : % 193.94/194.14 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_diff__eq,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_compl__bot__eq,axiom, % 193.94/194.14 ! [T_a] : % 193.94/194.14 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_compl__top__eq,axiom, % 193.94/194.14 ! [T_a] : % 193.94/194.14 ( class_Lattices_Oboolean__algebra(T_a) % 193.94/194.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_subset__Compl__self__eq,axiom, % 193.94/194.14 ! [V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 193.94/194.14 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__empty__eq,axiom, % 193.94/194.14 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__UNIV__eq,axiom, % 193.94/194.14 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__disjoint,axiom, % 193.94/194.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__disjoint2,axiom, % 193.94/194.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Sup__insert,axiom, % 193.94/194.14 ! [V_A_2,V_a_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_insert__is__Un,axiom, % 193.94/194.14 ! [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) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Compl__eq__Diff__UNIV,axiom, % 193.94/194.14 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ). % 193.94/194.14 % 193.94/194.14 fof(fact_mono__sup,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 193.94/194.14 ( ( class_Lattices_Osemilattice__sup(T_c) % 193.94/194.14 & class_Lattices_Osemilattice__sup(T_b) ) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_A_2),V_B_2)))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Diff__Compl,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Diff__eq,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Int__assoc__eq,axiom, % 193.94/194.14 ! [V_C_2,V_B_2,V_A_2,T_b] : % 193.94/194.14 ( 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)) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Diff__subset__conv,axiom, % 193.94/194.14 ! [V_C_2,V_B_2,V_A_2,T_b] : % 193.94/194.14 ( 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)) % 193.94/194.14 <=> 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))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Diff__partition,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => 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 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Un__Diff__Int,axiom, % 193.94/194.14 ! [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 ). % 193.94/194.14 % 193.94/194.14 fof(fact_Diff__Un,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Diff__Int,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Inter__Un__distrib,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_mono__Un,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 193.94/194.14 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Union__insert,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Sup__binary,axiom, % 193.94/194.14 ! [V_b_2,V_a_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => 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) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__ord__min,axiom, % 193.94/194.14 ! [T_b] : % 193.94/194.14 ( class_Orderings_Oord(T_b) % 193.94/194.14 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold1Set_Ointros,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.14 => 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)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 193.94/194.14 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 193.94/194.14 ( 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)) % 193.94/194.14 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 193.94/194.14 | ? [B_x,B_y] : % 193.94/194.14 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 193.94/194.14 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 193.94/194.14 & 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) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold__graph__permute__diff,axiom, % 193.94/194.14 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 193.94/194.14 ( class_Groups_Oab__semigroup__mult(T_b) % 193.94/194.14 => ( 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)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 193.94/194.14 => 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)) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_setsum__diff1__nat,axiom, % 193.94/194.14 ! [V_f_2,V_A_2,V_a_2,T_b] : % 193.94/194.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.14 => 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)) ) % 193.94/194.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.14 => 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) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_psubset__imp__ex__mem,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => ? [B_b] : 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))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold1Set__sing,axiom, % 193.94/194.14 ! [V_b_2,V_a_2,V_f_2,T_b] : % 193.94/194.14 ( 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)) % 193.94/194.14 <=> V_a_2 = V_b_2 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__one_Osingleton,axiom, % 193.94/194.14 ! [V_x_2,V_F_2,V_f_2,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.14 => 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 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_nonempty__iff,axiom, % 193.94/194.14 ! [T_b,V_A_2] : % 193.94/194.14 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 <=> ? [B_x,B_B] : % 193.94/194.14 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B) % 193.94/194.14 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_coinduct__set,axiom, % 193.94/194.14 ! [V_X_2,V_a_2,V_f_2,T_b] : % 193.94/194.14 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__mono,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_lessI,axiom, % 193.94/194.14 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_inf__nat__def,axiom, % 193.94/194.14 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 193.94/194.14 % 193.94/194.14 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 193.94/194.14 ! [V_c,V_b,V_a,T_a] : % 193.94/194.14 ( class_Groups_Oab__semigroup__mult(T_a) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_times_Oidem,axiom, % 193.94/194.14 ! [V_a,T_a] : % 193.94/194.14 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 193.94/194.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_mult__idem,axiom, % 193.94/194.14 ! [V_x,T_a] : % 193.94/194.14 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 193.94/194.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_mult__left__idem,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 193.94/194.14 => 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) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__mult__less__cancel1,axiom, % 193.94/194.14 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2))) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_gfp__upperbound,axiom, % 193.94/194.14 ! [V_f_2,V_X_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_def__gfp__unfold,axiom, % 193.94/194.14 ! [V_f_2,V_A_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 193.94/194.14 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_gfp__unfold,axiom, % 193.94/194.14 ! [V_f_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 193.94/194.14 => c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__mult__cancel1,axiom, % 193.94/194.14 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2) % 193.94/194.14 <=> V_m_2 = V_n_2 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__less__SucD,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__lessD,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__SucE,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => V_m = V_n ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__trans__Suc,axiom, % 193.94/194.14 ! [V_k,V_j,V_i] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__lessI,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__SucI,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__antisym,axiom, % 193.94/194.14 ! [V_m,V_n] : % 193.94/194.14 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 193.94/194.14 => V_m = V_n ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_not__less__less__Suc__eq,axiom, % 193.94/194.14 ! [V_m_2,V_n_2] : % 193.94/194.14 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 193.94/194.14 <=> V_n_2 = V_m_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__less__eq,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__Suc__eq,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 | V_m_2 = V_n_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_not__less__eq,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_mult__le__mono,axiom, % 193.94/194.14 ! [V_l,V_k,V_j,V_i] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 193.94/194.14 => 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))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_mult__le__mono2,axiom, % 193.94/194.14 ! [V_k,V_j,V_i] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.14 => 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))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_mult__le__mono1,axiom, % 193.94/194.14 ! [V_k,V_j,V_i] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.14 => 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))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_le__cube,axiom, % 193.94/194.14 ! [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)))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_le__square,axiom, % 193.94/194.14 ! [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))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_diff__mult__distrib2,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_diff__mult__distrib,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__or__eq__imp__le,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 | V_m = V_n ) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_le__neq__implies__less,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => ( V_m != V_n % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__imp__le__nat,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_le__eq__less__or__eq,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 | V_m_2 = V_n_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_nat__less__le,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 & V_m_2 != V_n_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__imp__diff__less,axiom, % 193.94/194.14 ! [V_n,V_k,V_j] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 193.94/194.14 => 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)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_diff__less__mono2,axiom, % 193.94/194.14 ! [V_l,V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 193.94/194.14 => 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))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_weak__coinduct,axiom, % 193.94/194.14 ! [V_f_2,V_X_2,V_a_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,V_X_2))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_gfp__lemma2,axiom, % 193.94/194.14 ! [V_f_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_gfp__lemma3,axiom, % 193.94/194.14 ! [V_f_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold1Set__nonempty,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_f_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 193.94/194.14 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_empty__fold1SetE,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__mult__le__cancel1,axiom, % 193.94/194.14 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2))) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__eq__Suc__le,axiom, % 193.94/194.14 ! [V_m_2,V_n_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__Suc__eq__le,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__le__eq,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_le__imp__less__Suc,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__leI,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_le__less__Suc__eq,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 193.94/194.14 <=> V_n_2 = V_m_2 ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Suc__le__lessD,axiom, % 193.94/194.14 ! [V_n,V_m] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_diff__less__Suc,axiom, % 193.94/194.14 ! [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))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__diff__iff,axiom, % 193.94/194.14 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))) % 193.94/194.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_diff__less__mono,axiom, % 193.94/194.14 ! [V_c,V_b,V_a] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 193.94/194.14 => 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))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_gfp__fun__UnI2,axiom, % 193.94/194.14 ! [V_X_2,V_a_2,V_f_2,T_b] : % 193.94/194.14 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_coinduct,axiom, % 193.94/194.14 ! [V_X_2,V_f_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_coinduct__lemma,axiom, % 193.94/194.14 ! [V_f_2,V_X_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_def__coinduct,axiom, % 193.94/194.14 ! [V_X_2,V_f_2,V_A_2,T_b] : % 193.94/194.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.14 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),V_A_2)))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold__graph__insert__swap,axiom, % 193.94/194.14 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 193.94/194.14 ( class_Groups_Oab__semigroup__mult(T_b) % 193.94/194.14 => ( 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)) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 193.94/194.14 => 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))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_def__coinduct__set,axiom, % 193.94/194.14 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 193.94/194.14 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 193.94/194.14 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_square__eq__iff,axiom, % 193.94/194.14 ! [V_b_2,V_a_2,T_b] : % 193.94/194.14 ( class_Rings_Oidom(T_b) % 193.94/194.14 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2) % 193.94/194.14 <=> ( V_a_2 = V_b_2 % 193.94/194.14 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_minus__mult__minus,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Rings_Oring(T_a) % 193.94/194.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_minus__mult__commute,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Rings_Oring(T_a) % 193.94/194.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_minus__mult__left,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Rings_Oring(T_a) % 193.94/194.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_minus__mult__right,axiom, % 193.94/194.14 ! [V_b,V_a,T_a] : % 193.94/194.14 ( class_Rings_Oring(T_a) % 193.94/194.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_setsum__diff1__ring,axiom, % 193.94/194.14 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 193.94/194.14 ( class_Rings_Oring(T_c) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.14 => 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)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_setsum__diff1,axiom, % 193.94/194.14 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 193.94/194.14 ( class_Groups_Oab__group__add(T_c) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.14 => 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)) ) % 193.94/194.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.14 => 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) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__one_Oremove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 193.94/194.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)))))) ) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_insert__fold1SetE,axiom, % 193.94/194.14 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 193.94/194.14 ( 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)) % 193.94/194.14 => ~ ! [B_a,B_A] : % 193.94/194.14 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite_OemptyI,axiom, % 193.94/194.14 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite_OinsertI,axiom, % 193.94/194.14 ! [V_a_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Int,axiom, % 193.94/194.14 ! [V_Ga_2,V_F_2,T_b] : % 193.94/194.14 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 193.94/194.14 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Diff,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => 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))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Inter,axiom, % 193.94/194.14 ! [V_M_2,T_b] : % 193.94/194.14 ( ? [B_x] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 193.94/194.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_nat__less__cases,axiom, % 193.94/194.14 ! [V_P_2,V_n_2,V_m_2] : % 193.94/194.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 193.94/194.14 => ( ( V_m_2 = V_n_2 % 193.94/194.14 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 193.94/194.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 193.94/194.14 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 193.94/194.14 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__not__refl3,axiom, % 193.94/194.14 ! [V_t,V_s] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 193.94/194.14 => V_s != V_t ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__not__refl2,axiom, % 193.94/194.14 ! [V_m,V_n] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 193.94/194.14 => V_m != V_n ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__irrefl__nat,axiom, % 193.94/194.14 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_linorder__neqE__nat,axiom, % 193.94/194.14 ! [V_y,V_x] : % 193.94/194.14 ( V_x != V_y % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_nat__neq__iff,axiom, % 193.94/194.14 ! [V_n_2,V_m_2] : % 193.94/194.14 ( V_m_2 != V_n_2 % 193.94/194.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_less__not__refl,axiom, % 193.94/194.14 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_nat__mult__commute,axiom, % 193.94/194.14 ! [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) ). % 193.94/194.14 % 193.94/194.14 fof(fact_nat__mult__assoc,axiom, % 193.94/194.14 ! [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)) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Plus__UNIV__iff,axiom, % 193.94/194.14 ! [T_c,T_b] : % 193.94/194.14 ( 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)))) % 193.94/194.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 193.94/194.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__option__UNIV,axiom, % 193.94/194.14 ! [T_b] : % 193.94/194.14 ( 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)))) % 193.94/194.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Prod__UNIV,axiom, % 193.94/194.14 ! [T_c,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 193.94/194.14 => 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)))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__code,axiom, % 193.94/194.14 ! [V_A_2,T_b] : % 193.94/194.14 ( class_Finite__Set_Ofinite(T_b) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite,axiom, % 193.94/194.14 ! [V_A_2,T_b] : % 193.94/194.14 ( class_Finite__Set_Ofinite(T_b) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__UN,axiom, % 193.94/194.14 ! [V_B_2,T_c,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 193.94/194.14 <=> ! [B_x] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__UnionD,axiom, % 193.94/194.14 ! [V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Pow__iff,axiom, % 193.94/194.14 ! [V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 193.94/194.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite_Oequations_I1_J,axiom, % 193.94/194.14 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__insert,axiom, % 193.94/194.14 ! [V_A_2,V_a_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 193.94/194.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__fun__UNIVD2,axiom, % 193.94/194.14 ! [T_c,T_b] : % 193.94/194.14 ( 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)))) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_rev__finite__subset,axiom, % 193.94/194.14 ! [V_A_2,V_B_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__subset,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__UNIV,axiom, % 193.94/194.14 ! [T_b] : % 193.94/194.14 ( class_Finite__Set_Ofinite(T_b) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Un,axiom, % 193.94/194.14 ! [V_Ga_2,V_F_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) % 193.94/194.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 193.94/194.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__UnI,axiom, % 193.94/194.14 ! [V_Ga_2,V_F_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Diff2,axiom, % 193.94/194.14 ! [V_A_2,V_B_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.14 => ( 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))) % 193.94/194.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_fold__graph__imp__finite,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 193.94/194.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__Diff__insert,axiom, % 193.94/194.14 ! [V_B_2,V_a_2,V_A_2,T_b] : % 193.94/194.14 ( 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)))) % 193.94/194.14 <=> 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))) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_finite__compl,axiom, % 193.94/194.14 ! [V_A_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 193.94/194.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_linorder__neqE__linordered__idom,axiom, % 193.94/194.14 ! [V_y,V_x,T_a] : % 193.94/194.14 ( class_Rings_Olinordered__idom(T_a) % 193.94/194.14 => ( V_x != V_y % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_setsum__diff,axiom, % 193.94/194.14 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.14 ( class_Groups_Oab__group__add(T_c) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.14 => 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)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_setsum__diff__nat,axiom, % 193.94/194.14 ! [V_f_2,V_A_2,V_B_2,T_b] : % 193.94/194.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.14 => 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)) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__one_Oinsert,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__one_Oinsert__remove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 193.94/194.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)))))) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__one_Ounion__inter,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__one_Ounion__disjoint,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)) ) ) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__image__simple_Oremove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 193.94/194.14 => 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)))))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 193.94/194.14 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 193.94/194.14 => ( 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)) % 193.94/194.14 => 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)) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 193.94/194.14 => 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)))))) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_termination__basic__simps_I5_J,axiom, % 193.94/194.14 ! [V_y,V_x] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Inf__fin_Oremove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,T_b] : % 193.94/194.14 ( class_Lattices_Olattice(T_b) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 193.94/194.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)))))) ) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Sup__fin_Oremove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,T_b] : % 193.94/194.14 ( class_Lattices_Olattice(T_b) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 193.94/194.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)))))) ) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Min_Oremove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 193.94/194.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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)))))) ) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_min__max_OInf__fin_Oremove,axiom, % 193.94/194.14 ! [V_x_2,V_A_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 193.94/194.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__one_Oclosed,axiom, % 193.94/194.14 ! [V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => ( ! [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)))))) % 193.94/194.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_ball__UN,axiom, % 193.94/194.14 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] : % 193.94/194.14 ( ! [B_x] : % 193.94/194.14 ( 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))) % 193.94/194.14 => hBOOL(hAPP(V_P_2,B_x)) ) % 193.94/194.14 <=> ! [B_x] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 193.94/194.14 => ! [B_xa] : % 193.94/194.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 193.94/194.14 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Inf__le__Sup,axiom, % 193.94/194.14 ! [V_A_2,T_b] : % 193.94/194.14 ( class_Lattices_Olattice(T_b) % 193.94/194.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.14 => 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))) ) ) ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_folding__image__simple_Oempty,axiom, % 193.94/194.14 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.14 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 193.94/194.14 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Min_Osingleton,axiom, % 193.94/194.14 ! [V_x_2,T_b] : % 193.94/194.14 ( class_Orderings_Olinorder(T_b) % 193.94/194.14 => 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 ) ). % 193.94/194.14 % 193.94/194.14 fof(fact_Sup__fin_Osingleton,axiom, % 193.94/194.15 ! [V_x_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Osingleton,axiom, % 193.94/194.15 ! [V_x_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min__le,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 193.94/194.15 ! [V_x_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min__in,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_sup__Inf__absorb,axiom, % 193.94/194.15 ! [V_a_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.15 => 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 ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Oin__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_inf__Sup__absorb,axiom, % 193.94/194.15 ! [V_a_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.15 => 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 ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Oin__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_Oin__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin__Sup,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin__Inf,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min__antimono,axiom, % 193.94/194.15 ! [V_N_2,V_M_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 193.94/194.15 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 193.94/194.15 => 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))) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Oinsert__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Oinsert__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min__insert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Osubset__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Osubset__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_Osubset__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Ounion__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Ounion__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min__Un,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__image__simple_Oinsert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__image__simple_Ounion__inter,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => 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 ) % 193.94/194.15 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => 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)))))) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Oinsert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Oinsert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_Oinsert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Oinsert__remove,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => 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 ) % 193.94/194.15 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => 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)))))) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Oinsert__remove,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => 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 ) % 193.94/194.15 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => 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)))))) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_Oinsert__remove,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 193.94/194.15 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 193.94/194.15 => 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)))))) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Ounion__inter,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Ounion__inter,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_Ounion__inter,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_Ounion__disjoint,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( ! [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)))))) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_Oclosed,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( ! [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)))))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_Oclosed,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( ! [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)))))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_Oclosed,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( ! [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)))))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_finite__Union,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 193.94/194.15 => ( ! [B_M] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 193.94/194.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 193.94/194.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_finite__empty__induct,axiom, % 193.94/194.15 ! [V_P_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(V_P_2,V_A_2)) % 193.94/194.15 => ( ! [B_a,B_A] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 193.94/194.15 => ( hBOOL(hAPP(V_P_2,B_A)) % 193.94/194.15 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 193.94/194.15 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__one__idem_Ounion__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_finite__subset__induct,axiom, % 193.94/194.15 ! [V_P_2,V_A_2,V_F_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 193.94/194.15 => ( ! [B_a,B_F] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 193.94/194.15 => ( hBOOL(hAPP(V_P_2,B_F)) % 193.94/194.15 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 193.94/194.15 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__one__idem_Osubset__idem,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__one__idem_Oidem,axiom, % 193.94/194.15 ! [V_x_2,V_F_2,V_f_2,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 193.94/194.15 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__one__idem_Oin__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum__strict__mono,axiom, % 193.94/194.15 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( ! [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 193.94/194.15 => 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))) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum__diff1_H,axiom, % 193.94/194.15 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.15 => 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)))))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum_Oremove,axiom, % 193.94/194.15 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)))))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1Set_Oequations,axiom, % 193.94/194.15 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 193.94/194.15 ( 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)) % 193.94/194.15 <=> ? [B_a,B_A] : % 193.94/194.15 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 193.94/194.15 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 193.94/194.15 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__Un,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Groups_Oab__semigroup__mult(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__antimono,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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))) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff1__less,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff2__less,axiom, % 193.94/194.15 ! [V_y_2,V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 193.94/194.15 => 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))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Suc__Diff1,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oab__semigroup__add(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__left__cancel,axiom, % 193.94/194.15 ! [V_c_2,V_b_2,V_a_2,T_b] : % 193.94/194.15 ( class_Groups_Ocancel__semigroup__add(T_b) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2) % 193.94/194.15 <=> V_b_2 = V_c_2 ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__right__cancel,axiom, % 193.94/194.15 ! [V_c_2,V_a_2,V_b_2,T_b] : % 193.94/194.15 ( class_Groups_Ocancel__semigroup__add(T_b) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2) % 193.94/194.15 <=> V_b_2 = V_c_2 ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__left__imp__eq,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ocancel__semigroup__add(T_a) % 193.94/194.15 => ( 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) % 193.94/194.15 => V_b = V_c ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__imp__eq,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 193.94/194.15 => ( 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) % 193.94/194.15 => V_b = V_c ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__right__imp__eq,axiom, % 193.94/194.15 ! [V_c,V_a,V_b,T_a] : % 193.94/194.15 ( class_Groups_Ocancel__semigroup__add(T_a) % 193.94/194.15 => ( 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) % 193.94/194.15 => V_b = V_c ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__le__imp__le__left,axiom, % 193.94/194.15 ! [V_b,V_a,V_c,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 193.94/194.15 => ( 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))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__le__imp__le__right,axiom, % 193.94/194.15 ! [V_b,V_c,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 193.94/194.15 => ( 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))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__mono,axiom, % 193.94/194.15 ! [V_d,V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 193.94/194.15 => 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))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__left__mono,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__right__mono,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__le__cancel__left,axiom, % 193.94/194.15 ! [V_b_2,V_a_2,V_c_2,T_b] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__le__cancel__right,axiom, % 193.94/194.15 ! [V_b_2,V_c_2,V_a_2,T_b] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__less__imp__less__left,axiom, % 193.94/194.15 ! [V_b,V_a,V_c,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 193.94/194.15 => ( 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))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__less__imp__less__right,axiom, % 193.94/194.15 ! [V_b,V_c,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 193.94/194.15 => ( 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))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__strict__mono,axiom, % 193.94/194.15 ! [V_d,V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 193.94/194.15 => 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))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__strict__left__mono,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__strict__right__mono,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__less__cancel__left,axiom, % 193.94/194.15 ! [V_b_2,V_a_2,V_c_2,T_b] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__less__cancel__right,axiom, % 193.94/194.15 ! [V_b_2,V_c_2,V_a_2,T_b] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__class_Odistrib,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_combine__common__factor,axiom, % 193.94/194.15 ! [V_c,V_b,V_e,V_a,T_a] : % 193.94/194.15 ( class_Rings_Osemiring(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__diff__cancel,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ogroup__add(T_a) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__add__cancel,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ogroup__add(T_a) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_minus__add__cancel,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ogroup__add(T_a) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__minus__cancel,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ogroup__add(T_a) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_minus__add,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ogroup__add(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_minus__add__distrib,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oab__group__add(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__Suc__shift,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__Suc,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__Suc__right,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__add__distrib__left,axiom, % 193.94/194.15 ! [V_z,V_y,V_x,T_a] : % 193.94/194.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_termination__basic__simps_I2_J,axiom, % 193.94/194.15 ! [V_y,V_z,V_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_termination__basic__simps_I1_J,axiom, % 193.94/194.15 ! [V_z,V_y,V_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_not__add__less1,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_not__add__less2,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__add__left__cancel__less,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_trans__less__add1,axiom, % 193.94/194.15 ! [V_m,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_trans__less__add2,axiom, % 193.94/194.15 ! [V_m,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__less__mono1,axiom, % 193.94/194.15 ! [V_k,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__less__mono,axiom, % 193.94/194.15 ! [V_l,V_k,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__add__eq__less,axiom, % 193.94/194.15 ! [V_n,V_m,V_l,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 193.94/194.15 => ( 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) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__lessD1,axiom, % 193.94/194.15 ! [V_k,V_j,V_i] : % 193.94/194.15 ( 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)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_termination__basic__simps_I4_J,axiom, % 193.94/194.15 ! [V_y,V_z,V_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_termination__basic__simps_I3_J,axiom, % 193.94/194.15 ! [V_z,V_y,V_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__leE,axiom, % 193.94/194.15 ! [V_n,V_k,V_m] : % 193.94/194.15 ( 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)) % 193.94/194.15 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 193.94/194.15 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__leD1,axiom, % 193.94/194.15 ! [V_n,V_k,V_m] : % 193.94/194.15 ( 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)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__leD2,axiom, % 193.94/194.15 ! [V_n,V_k,V_m] : % 193.94/194.15 ( 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)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__le__mono,axiom, % 193.94/194.15 ! [V_l,V_k,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__le__mono1,axiom, % 193.94/194.15 ! [V_k,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_trans__le__add2,axiom, % 193.94/194.15 ! [V_m,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_trans__le__add1,axiom, % 193.94/194.15 ! [V_m,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__add__left__cancel__le,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__iff__add,axiom, % 193.94/194.15 ! [V_n_2,V_m_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.15 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__add1,axiom, % 193.94/194.15 ! [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))) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__add2,axiom, % 193.94/194.15 ! [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))) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__add__inverse2,axiom, % 193.94/194.15 ! [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 ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__add__inverse,axiom, % 193.94/194.15 ! [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 ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__diff__left,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__cancel,axiom, % 193.94/194.15 ! [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) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__cancel2,axiom, % 193.94/194.15 ! [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) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__mult__distrib,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__mult__distrib2,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card_Ounion__inter,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Un__Int,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Un__disjoint,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 193.94/194.15 => ( 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))) % 193.94/194.15 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__less__le__mono,axiom, % 193.94/194.15 ! [V_d,V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 193.94/194.15 => 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))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__le__less__mono,axiom, % 193.94/194.15 ! [V_d,V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 193.94/194.15 => 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))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_eq__add__iff2,axiom, % 193.94/194.15 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 193.94/194.15 ( class_Rings_Oring(T_b) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 193.94/194.15 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_eq__add__iff1,axiom, % 193.94/194.15 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 193.94/194.15 ( class_Rings_Oring(T_b) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 193.94/194.15 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__minus__eq__add,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ogroup__add(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_ab__diff__minus,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Oab__group__add(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__def,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Groups_Ogroup__add(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__add__Suc1,axiom, % 193.94/194.15 ! [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)))) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__add__Suc2,axiom, % 193.94/194.15 ! [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)))) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__iff__Suc__add,axiom, % 193.94/194.15 ! [V_n_2,V_m_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 193.94/194.15 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__Suc__right,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__Suc,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__diff__conv,axiom, % 193.94/194.15 ! [V_k_2,V_j_2,V_i_2] : % 193.94/194.15 ( 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))) % 193.94/194.15 <=> 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__diff__inverse,axiom, % 193.94/194.15 ! [V_n,V_m] : % 193.94/194.15 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__add__assoc2,axiom, % 193.94/194.15 ! [V_i,V_j,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__diff__assoc2,axiom, % 193.94/194.15 ! [V_i,V_j,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__add__assoc,axiom, % 193.94/194.15 ! [V_i,V_j,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__imp__diff__is__add,axiom, % 193.94/194.15 ! [V_k_2,V_j_2,V_i_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 193.94/194.15 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__add__diff__inverse2,axiom, % 193.94/194.15 ! [V_m,V_n] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__diff__conv2,axiom, % 193.94/194.15 ! [V_i_2,V_j_2,V_k_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 193.94/194.15 => ( 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))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__diff__assoc,axiom, % 193.94/194.15 ! [V_i,V_j,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__add__diff__inverse,axiom, % 193.94/194.15 ! [V_m,V_n] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__add__diff,axiom, % 193.94/194.15 ! [V_m,V_n,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__diff__conv,axiom, % 193.94/194.15 ! [V_i_2,V_k_2,V_j_2] : % 193.94/194.15 ( 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)) % 193.94/194.15 <=> 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__diff__right,axiom, % 193.94/194.15 ! [V_i,V_j,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__singleton__def,axiom, % 193.94/194.15 ! [V_a_2,V_f_2,T_b,V_g_2] : % 193.94/194.15 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 193.94/194.15 => 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 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__singleton,axiom, % 193.94/194.15 ! [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 ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__one_Oeq__fold,axiom, % 193.94/194.15 ! [V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__insert__le,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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)))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__seteq,axiom, % 193.94/194.15 ! [V_A_2,V_B_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.15 => ( 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))) % 193.94/194.15 => V_A_2 = V_B_2 ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__mono,axiom, % 193.94/194.15 ! [V_A_2,V_B_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__add__iff2,axiom, % 193.94/194.15 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 193.94/194.15 ( class_Rings_Oordered__ring(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le__add__iff1,axiom, % 193.94/194.15 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 193.94/194.15 ( class_Rings_Oordered__ring(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__add__iff1,axiom, % 193.94/194.15 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 193.94/194.15 ( class_Rings_Oordered__ring(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__add__iff2,axiom, % 193.94/194.15 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 193.94/194.15 ( class_Rings_Oordered__ring(T_b) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_psubset__card__mono,axiom, % 193.94/194.15 ! [V_A_2,V_B_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__Suc__diff__eq2,axiom, % 193.94/194.15 ! [V_m,V_j,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__Suc__diff__eq1,axiom, % 193.94/194.15 ! [V_m,V_j,V_k] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Sup__fin_OF__eq,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Inf__fin_OF__eq,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Olattice(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Min_OF__eq,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__insert__if,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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) ) % 193.94/194.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__insert__disjoint,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff__subset,axiom, % 193.94/194.15 ! [V_A_2,V_B_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff__subset__Int,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( 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))) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__card__le__card__Diff,axiom, % 193.94/194.15 ! [V_A_2,V_B_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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)))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum_Oinsert,axiom, % 193.94/194.15 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum__insert,axiom, % 193.94/194.15 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__psubset,axiom, % 193.94/194.15 ! [V_A_2,V_B_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 193.94/194.15 => ( 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))) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum__Un__Int,axiom, % 193.94/194.15 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__belowI,axiom, % 193.94/194.15 ! [V_a_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Osemilattice__inf(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_below__fold1__iff,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Osemilattice__inf(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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))) % 193.94/194.15 <=> ! [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_Ofold1__belowI,axiom, % 193.94/194.15 ! [V_a_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__insert__idem,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_min__max_Obelow__fold1__iff,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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))) % 193.94/194.15 <=> ! [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__below__iff,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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)) % 193.94/194.15 <=> ? [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__Un2,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,T_b] : % 193.94/194.15 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => 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)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_strict__below__fold1__iff,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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))) % 193.94/194.15 <=> ! [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__strict__below__iff,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Orderings_Olinorder(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( 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)) % 193.94/194.15 <=> ? [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__insert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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)))))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff1__le,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum_Oinsert__remove,axiom, % 193.94/194.15 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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)))))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum__Un__disjoint,axiom, % 193.94/194.15 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum__Un,axiom, % 193.94/194.15 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Oab__group__add(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setsum__Un__nat,axiom, % 193.94/194.15 ! [V_f_2,V_B_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__insert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( class_Groups_Oab__semigroup__mult(T_b) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__less__add__iff1,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__less__add__iff2,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_semilattice__big_OF__eq,axiom, % 193.94/194.15 ! [V_A_2,V_F_2,V_f_2,T_b] : % 193.94/194.15 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__eq__add__iff2,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2) % 193.94/194.15 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__diff__add__eq2,axiom, % 193.94/194.15 ! [V_n,V_m,V_u,V_j,V_i] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__le__add__iff2,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__eq__add__iff1,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2) % 193.94/194.15 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_n_2 ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__diff__add__eq1,axiom, % 193.94/194.15 ! [V_n,V_m,V_u,V_i,V_j] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__add__commute,axiom, % 193.94/194.15 ! [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) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__add__left__commute,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__add__assoc,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__add__left__cancel,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.15 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2) % 193.94/194.15 <=> V_m_2 = V_n_2 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__add__right__cancel,axiom, % 193.94/194.15 ! [V_n_2,V_k_2,V_m_2] : % 193.94/194.15 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2) % 193.94/194.15 <=> V_m_2 = V_n_2 ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_left__add__mult__distrib,axiom, % 193.94/194.15 ! [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) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__le__add__iff1,axiom, % 193.94/194.15 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 193.94/194.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 193.94/194.15 ! [V_y,V_x,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__ring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold1__in,axiom, % 193.94/194.15 ! [V_A_2,T_b] : % 193.94/194.15 ( class_Groups_Oab__semigroup__mult(T_b) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 193.94/194.15 => ( ! [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)))))) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff__singleton__if,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) % 193.94/194.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff__singleton,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card_Oremove,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)))))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 193.94/194.15 ! [V_z,V_y,V_x,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_crossproduct__noteq,axiom, % 193.94/194.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 193.94/194.15 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 193.94/194.15 => ( ( V_a_2 != V_b_2 % 193.94/194.15 & V_c_2 != V_d_2 ) % 193.94/194.15 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_one__reorient,axiom, % 193.94/194.15 ! [V_x_2,T_b] : % 193.94/194.15 ( class_Groups_Oone(T_b) % 193.94/194.15 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 193.94/194.15 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__UNIV__unit,axiom, % 193.94/194.15 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) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__1__left,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Omonoid__mult(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__1,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__mult(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__1__right,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Omonoid__mult(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult_Ocomm__neutral,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__mult(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__mult__eq__1__iff,axiom, % 193.94/194.15 ! [V_n_2,V_m_2] : % 193.94/194.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 193.94/194.15 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 193.94/194.15 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__mult__1__right,axiom, % 193.94/194.15 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__1__eq__mult__iff,axiom, % 193.94/194.15 ! [V_n_2,V_m_2] : % 193.94/194.15 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 193.94/194.15 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 193.94/194.15 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_nat__mult__1,axiom, % 193.94/194.15 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 193.94/194.15 ! [V_m,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 193.94/194.15 ! [V_a,V_m,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 193.94/194.15 ! [V_m,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 193.94/194.15 ! [V_x,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__ring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__add__one,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Rings_Olinordered__semidom(T_a) % 193.94/194.15 => 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)))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__1__mult,axiom, % 193.94/194.15 ! [V_n,V_m,T_a] : % 193.94/194.15 ( class_Rings_Olinordered__semidom(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_square__eq__1__iff,axiom, % 193.94/194.15 ! [V_x_2,T_b] : % 193.94/194.15 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 193.94/194.15 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 193.94/194.15 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Suc__eq__plus1,axiom, % 193.94/194.15 ! [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)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_Suc__eq__plus1__left,axiom, % 193.94/194.15 ! [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) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__Suc__eq__diff__pred,axiom, % 193.94/194.15 ! [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) ). % 193.94/194.15 % 193.94/194.15 fof(fact_diff__Suc__1,axiom, % 193.94/194.15 ! [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 ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 193.94/194.15 ! [V_d,V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 193.94/194.15 ! [V_c,V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 193.94/194.15 ! [V_d,V_c,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 193.94/194.15 ! [V_d,V_c,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 193.94/194.15 ! [V_c,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 193.94/194.15 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 193.94/194.15 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 193.94/194.15 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 193.94/194.15 ! [V_rx,V_ly,V_lx,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 193.94/194.15 ! [V_rx,V_ly,V_lx,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 193.94/194.15 ! [V_ry,V_rx,V_lx,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 193.94/194.15 ! [V_ry,V_rx,V_lx,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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)) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card_Oinsert,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Diff__insert,axiom, % 193.94/194.15 ! [V_B_2,V_a_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 193.94/194.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 193.94/194.15 => 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)) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card_Oinsert__remove,axiom, % 193.94/194.15 ! [V_x_2,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => 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)))))) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_crossproduct__eq,axiom, % 193.94/194.15 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 193.94/194.15 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 193.94/194.15 => ( 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)) % 193.94/194.15 <=> ( V_w_2 = V_x_2 % 193.94/194.15 | V_y_2 = V_z_2 ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 193.94/194.15 ! [V_b,V_m,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold__Un__disjoint,axiom, % 193.94/194.15 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__mult(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => ( 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)) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 193.94/194.15 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 193.94/194.15 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 193.94/194.15 => ( ! [B_x] : % 193.94/194.15 ( 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))) % 193.94/194.15 => hAPP(V_g_2,B_x) = V_z_2 ) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_fold__image__Un__Int,axiom, % 193.94/194.15 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__mult(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 193.94/194.15 => 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))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_finite__fun__UNIVD1,axiom, % 193.94/194.15 ! [T_c,T_b] : % 193.94/194.15 ( 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)))) % 193.94/194.15 => ( 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)) % 193.94/194.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setprod_Oremove,axiom, % 193.94/194.15 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__mult(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 193.94/194.15 => 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)))))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_convex__bound__lt,axiom, % 193.94/194.15 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 193.94/194.15 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 193.94/194.15 => 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)) ) ) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__partition,axiom, % 193.94/194.15 ! [V_k_2,V_C_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 193.94/194.15 => ( ! [B_c] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 193.94/194.15 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 193.94/194.15 => ( ! [B_c1] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 193.94/194.15 => ! [B_c2] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 193.94/194.15 => ( B_c1 != B_c2 % 193.94/194.15 => 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)) ) ) ) % 193.94/194.15 => 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)) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_card__Plus,axiom, % 193.94/194.15 ! [V_B_2,T_c,V_A_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 193.94/194.15 => 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)) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_less__zeroE,axiom, % 193.94/194.15 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 193.94/194.15 % 193.94/194.15 fof(fact_le0,axiom, % 193.94/194.15 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 193.94/194.15 % 193.94/194.15 fof(fact_zero__less__Suc,axiom, % 193.94/194.15 ! [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))) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setprod__zero,axiom, % 193.94/194.15 ! [V_f_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_c) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( ? [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 193.94/194.15 => 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) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setprod__zero__iff,axiom, % 193.94/194.15 ! [V_f_2,V_A_2,T_b,T_c] : % 193.94/194.15 ( ( class_Rings_Ocomm__semiring__1(T_c) % 193.94/194.15 & class_Rings_Ono__zero__divisors(T_c) ) % 193.94/194.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.15 => ( 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) % 193.94/194.15 <=> ? [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 193.94/194.15 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_bot__nat__def,axiom, % 193.94/194.15 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 193.94/194.15 % 193.94/194.15 fof(fact_zero__reorient,axiom, % 193.94/194.15 ! [V_x_2,T_b] : % 193.94/194.15 ( class_Groups_Ozero(T_b) % 193.94/194.15 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 193.94/194.15 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_setprod__pos__nat__iff,axiom, % 193.94/194.15 ! [V_f_2,V_S_2,T_b] : % 193.94/194.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 193.94/194.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) % 193.94/194.15 <=> ! [B_x] : % 193.94/194.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 193.94/194.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add_Ocomm__neutral,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__0__right,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Omonoid__add(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_double__zero__sym,axiom, % 193.94/194.15 ! [V_a_2,T_b] : % 193.94/194.15 ( class_Groups_Olinordered__ab__group__add(T_b) % 193.94/194.15 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 193.94/194.15 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__0,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Ocomm__monoid__add(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__0__left,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Groups_Omonoid__add(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_add__0__iff,axiom, % 193.94/194.15 ! [V_a_2,V_b_2,T_b] : % 193.94/194.15 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 193.94/194.15 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 193.94/194.15 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__zero__left,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Rings_Omult__zero(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__zero__right,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.15 ( class_Rings_Omult__zero(T_a) % 193.94/194.15 => 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) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_mult__eq__0__iff,axiom, % 193.94/194.15 ! [V_b_2,V_a_2,T_b] : % 193.94/194.15 ( class_Rings_Oring__no__zero__divisors(T_b) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 193.94/194.15 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 193.94/194.15 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_no__zero__divisors,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ono__zero__divisors(T_a) % 193.94/194.15 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 193.94/194.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 193.94/194.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_divisors__zero,axiom, % 193.94/194.15 ! [V_b,V_a,T_a] : % 193.94/194.15 ( class_Rings_Ono__zero__divisors(T_a) % 193.94/194.15 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 193.94/194.15 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 193.94/194.15 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 193.94/194.15 % 193.94/194.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 193.94/194.15 ! [V_a,T_a] : % 193.94/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.16 => 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) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 193.94/194.16 ! [V_a,T_a] : % 193.94/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 193.94/194.16 => 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) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_diff__0__right,axiom, % 193.94/194.16 ! [V_a,T_a] : % 193.94/194.16 ( class_Groups_Ogroup__add(T_a) % 193.94/194.16 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_diff__self,axiom, % 193.94/194.16 ! [V_a,T_a] : % 193.94/194.16 ( class_Groups_Ogroup__add(T_a) % 193.94/194.16 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_eq__iff__diff__eq__0,axiom, % 193.94/194.16 ! [V_b_2,V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Oab__group__add(T_b) % 193.94/194.16 => ( V_a_2 = V_b_2 % 193.94/194.16 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_right__minus__eq,axiom, % 193.94/194.16 ! [V_b_2,V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Ogroup__add(T_b) % 193.94/194.16 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 193.94/194.16 <=> V_a_2 = V_b_2 ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_zero__neq__one,axiom, % 193.94/194.16 ! [T_a] : % 193.94/194.16 ( class_Rings_Ozero__neq__one(T_a) % 193.94/194.16 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_one__neq__zero,axiom, % 193.94/194.16 ! [T_a] : % 193.94/194.16 ( class_Rings_Ozero__neq__one(T_a) % 193.94/194.16 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_minus__zero,axiom, % 193.94/194.16 ! [T_a] : % 193.94/194.16 ( class_Groups_Ogroup__add(T_a) % 193.94/194.16 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_neg__0__equal__iff__equal,axiom, % 193.94/194.16 ! [V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Ogroup__add(T_b) % 193.94/194.16 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 193.94/194.16 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_equal__neg__zero,axiom, % 193.94/194.16 ! [V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 193.94/194.16 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 193.94/194.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_neg__equal__0__iff__equal,axiom, % 193.94/194.16 ! [V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Ogroup__add(T_b) % 193.94/194.16 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 193.94/194.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_neg__equal__zero,axiom, % 193.94/194.16 ! [V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 193.94/194.16 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 193.94/194.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_fold__image__empty,axiom, % 193.94/194.16 ! [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 ). % 193.94/194.16 % 193.94/194.16 fof(fact_Zero__not__Suc,axiom, % 193.94/194.16 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 193.94/194.16 % 193.94/194.16 fof(fact_nat_Osimps_I2_J,axiom, % 193.94/194.16 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 193.94/194.16 % 193.94/194.16 fof(fact_Suc__not__Zero,axiom, % 193.94/194.16 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 193.94/194.16 % 193.94/194.16 fof(fact_nat_Osimps_I3_J,axiom, % 193.94/194.16 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 193.94/194.16 % 193.94/194.16 fof(fact_Zero__neq__Suc,axiom, % 193.94/194.16 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 193.94/194.16 % 193.94/194.16 fof(fact_Suc__neq__Zero,axiom, % 193.94/194.16 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 193.94/194.16 % 193.94/194.16 fof(fact_gr0I,axiom, % 193.94/194.16 ! [V_n] : % 193.94/194.16 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_gr__implies__not0,axiom, % 193.94/194.16 ! [V_n,V_m] : % 193.94/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 193.94/194.16 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_less__nat__zero__code,axiom, % 193.94/194.16 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 193.94/194.16 % 193.94/194.16 fof(fact_neq0__conv,axiom, % 193.94/194.16 ! [V_n_2] : % 193.94/194.16 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_not__less0,axiom, % 193.94/194.16 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 193.94/194.16 % 193.94/194.16 fof(fact_plus__nat_Oadd__0,axiom, % 193.94/194.16 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 193.94/194.16 % 193.94/194.16 fof(fact_Nat_Oadd__0__right,axiom, % 193.94/194.16 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 193.94/194.16 % 193.94/194.16 fof(fact_add__is__0,axiom, % 193.94/194.16 ! [V_n_2,V_m_2] : % 193.94/194.16 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_add__eq__self__zero,axiom, % 193.94/194.16 ! [V_n,V_m] : % 193.94/194.16 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 193.94/194.16 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 193.94/194.16 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 193.94/194.16 % 193.94/194.16 fof(fact_le__0__eq,axiom, % 193.94/194.16 ! [V_n_2] : % 193.94/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 193.94/194.16 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_diffs0__imp__equal,axiom, % 193.94/194.16 ! [V_n,V_m] : % 193.94/194.16 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 => V_m = V_n ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_diff__self__eq__0,axiom, % 193.94/194.16 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 193.94/194.16 % 193.94/194.16 fof(fact_minus__nat_Odiff__0,axiom, % 193.94/194.16 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 193.94/194.16 % 193.94/194.16 fof(fact_diff__0__eq__0,axiom, % 193.94/194.16 ! [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) ). % 193.94/194.16 % 193.94/194.16 fof(fact_nat__mult__eq__cancel__disj,axiom, % 193.94/194.16 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 193.94/194.16 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 | V_m_2 = V_n_2 ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__0,axiom, % 193.94/194.16 ! [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) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__0__right,axiom, % 193.94/194.16 ! [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) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__is__0,axiom, % 193.94/194.16 ! [V_n_2,V_m_2] : % 193.94/194.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 193.94/194.16 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__cancel1,axiom, % 193.94/194.16 ! [V_n_2,V_m_2,V_k_2] : % 193.94/194.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 193.94/194.16 <=> ( V_m_2 = V_n_2 % 193.94/194.16 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__cancel2,axiom, % 193.94/194.16 ! [V_n_2,V_k_2,V_m_2] : % 193.94/194.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2) % 193.94/194.16 <=> ( V_m_2 = V_n_2 % 193.94/194.16 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setprod_OF__eq,axiom, % 193.94/194.16 ! [V_g_2,V_A_2,T_b,T_c] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 193.94/194.16 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) % 193.94/194.16 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setprod_Oeq__fold,axiom, % 193.94/194.16 ! [V_g_2,V_A_2,T_b,T_c] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 193.94/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_min__0L,axiom, % 193.94/194.16 ! [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) ). % 193.94/194.16 % 193.94/194.16 fof(fact_min__0R,axiom, % 193.94/194.16 ! [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) ). % 193.94/194.16 % 193.94/194.16 fof(fact_nat__case__0,axiom, % 193.94/194.16 ! [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 ). % 193.94/194.16 % 193.94/194.16 fof(fact_setsum_Oeq__fold,axiom, % 193.94/194.16 ! [V_g_2,V_A_2,T_b,T_c] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setsum_OF__eq,axiom, % 193.94/194.16 ! [V_g_2,V_A_2,T_b,T_c] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__add(T_c) % 193.94/194.16 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) % 193.94/194.16 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setprod__empty,axiom, % 193.94/194.16 ! [V_f_2,T_c,T_b] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__mult(T_b) % 193.94/194.16 => 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) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setprod_Oempty,axiom, % 193.94/194.16 ! [V_g_2,T_c,T_b] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__mult(T_b) % 193.94/194.16 => 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) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setprod_Oinfinite,axiom, % 193.94/194.16 ! [V_g_2,V_A_2,T_b,T_c] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 193.94/194.16 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setprod__infinite,axiom, % 193.94/194.16 ! [V_f_2,V_A_2,T_b,T_c] : % 193.94/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 193.94/194.16 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 => 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) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_setprod__eq__1__iff,axiom, % 193.94/194.16 ! [V_f_2,V_F_2,T_b] : % 193.94/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 193.94/194.16 => ( 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) % 193.94/194.16 <=> ! [B_x] : % 193.94/194.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 193.94/194.16 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_card__Plus__conv__if,axiom, % 193.94/194.16 ! [V_B_2,T_c,V_A_2,T_b] : % 193.94/194.16 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 193.94/194.16 => 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)) ) % 193.94/194.16 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 193.94/194.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 193.94/194.16 => 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) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 193.94/194.16 ! [V_i_2,V_inc_2,T_b] : % 193.94/194.16 ( class_Rings_Osemiring__1(T_b) % 193.94/194.16 => 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 ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 193.94/194.16 ! [V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 193.94/194.16 => ( 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))) % 193.94/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 193.94/194.16 ! [V_a_2,T_b] : % 193.94/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 193.94/194.16 => ( 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))) % 193.94/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_add__nonneg__nonneg,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 193.94/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_add__nonneg__eq__0__iff,axiom, % 193.94/194.16 ! [V_y_2,V_x_2,T_b] : % 193.94/194.16 ( class_Groups_Oordered__comm__monoid__add(T_b) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 193.94/194.16 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 193.94/194.16 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 193.94/194.16 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_add__increasing,axiom, % 193.94/194.16 ! [V_c,V_b,V_a,T_a] : % 193.94/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_add__increasing2,axiom, % 193.94/194.16 ! [V_a,V_b,V_c,T_a] : % 193.94/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_add__nonpos__nonpos,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_split__mult__neg__le,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__cancel__semiring(T_a) % 193.94/194.16 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 193.94/194.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 193.94/194.16 => 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))) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_split__mult__pos__le,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__ring(T_a) % 193.94/194.16 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 193.94/194.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 193.94/194.16 => 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))) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__mono,axiom, % 193.94/194.16 ! [V_d,V_c,V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 193.94/194.16 => 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))) ) ) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__mono_H,axiom, % 193.94/194.16 ! [V_d,V_c,V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 193.94/194.16 => 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))) ) ) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__left__mono__neg,axiom, % 193.94/194.16 ! [V_c,V_a,V_b,T_a] : % 193.94/194.16 ( class_Rings_Oordered__ring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__right__mono__neg,axiom, % 193.94/194.16 ! [V_c,V_a,V_b,T_a] : % 193.94/194.16 ( class_Rings_Oordered__ring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_comm__mult__left__mono,axiom, % 193.94/194.16 ! [V_c,V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__comm__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__left__mono,axiom, % 193.94/194.16 ! [V_c,V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__right__mono,axiom, % 193.94/194.16 ! [V_c,V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__nonpos__nonpos,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__ring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__nonpos__nonneg,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__cancel__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__nonneg__nonpos2,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__cancel__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__nonneg__nonpos,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__cancel__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__nonneg__nonneg,axiom, % 193.94/194.16 ! [V_b,V_a,T_a] : % 193.94/194.16 ( class_Rings_Oordered__cancel__semiring(T_a) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 193.94/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 193.94/194.16 => 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))) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_mult__le__0__iff,axiom, % 193.94/194.16 ! [V_b_2,V_a_2,T_b] : % 193.94/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 193.94/194.16 => ( 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))) % 193.94/194.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 193.94/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 193.94/194.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 193.94/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 193.94/194.16 % 193.94/194.16 fof(fact_zero__le__mult__iff,axiom, % 193.94/194.16 ! [V_b_2,V_a_2,T_b] : % 193.94/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 193.94/194.16 => ( 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))) % 193.94/194.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 194.19/194.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__le__square,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__ring(T_a) % 194.19/194.16 => 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))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__pos__pos,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__neg__neg,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_pos__add__strict,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__strict__left__mono__neg,axiom, % 194.19/194.16 ! [V_c,V_a,V_b,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__strict__right__mono__neg,axiom, % 194.19/194.16 ! [V_c,V_a,V_b,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__mult__strict__left__mono,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__strict__left__mono,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__strict__right__mono,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__neg__neg,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__neg__pos,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__cancel__left__neg,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__less__mult__pos2,axiom, % 194.19/194.16 ! [V_a,V_b,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__less__mult__pos,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__pos__neg2,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__pos__neg,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__pos__pos,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__cancel__left__pos,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__cancel__left__disj,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 194.19/194.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 194.19/194.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__cancel__right__disj,axiom, % 194.19/194.16 ! [V_b_2,V_c_2,V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2))) % 194.19/194.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 194.19/194.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_not__square__less__zero,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__ring(T_a) % 194.19/194.16 => ~ 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))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_le__iff__diff__le__0,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Oordered__ab__group__add(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 194.19/194.16 <=> 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_less__iff__diff__less__0,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Oordered__ab__group__add(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 194.19/194.16 <=> 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_sum__squares__eq__zero__iff,axiom, % 194.19/194.16 ! [V_y_2,V_x_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( 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) % 194.19/194.16 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__scale__eq__noteq,axiom, % 194.19/194.16 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 194.19/194.16 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 194.19/194.16 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => ( ( V_a = V_b % 194.19/194.16 & V_c != V_d ) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_not__one__le__zero,axiom, % 194.19/194.16 ! [T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ~ 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))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__le__one,axiom, % 194.19/194.16 ! [T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => 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))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__less__one,axiom, % 194.19/194.16 ! [T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_not__one__less__zero,axiom, % 194.19/194.16 ! [T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_minus__le__self__iff,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.19/194.16 => ( 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)) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_neg__le__0__iff__le,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Oordered__ab__group__add(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_le__minus__self__iff,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_neg__0__le__iff__le,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Oordered__ab__group__add(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_less__minus__self__iff,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_neg__0__less__iff__less,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Oordered__ab__group__add(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_neg__less__0__iff__less,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Oordered__ab__group__add(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_neg__less__nonneg,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_minus__unique,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Ogroup__add(T_a) % 194.19/194.16 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_ab__left__minus,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Groups_Oab__group__add(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_left__minus,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Groups_Ogroup__add(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_eq__neg__iff__add__eq__0,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Ogroup__add(T_b) % 194.19/194.16 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 194.19/194.16 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_right__minus,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Groups_Ogroup__add(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_diff__0,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Groups_Ogroup__add(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__empty,axiom, % 194.19/194.16 ! [V_f_2,T_c,T_b] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__add(T_b) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum_Oempty,axiom, % 194.19/194.16 ! [V_g_2,T_c,T_b] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__add(T_b) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__infinite,axiom, % 194.19/194.16 ! [V_f_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__add(T_c) % 194.19/194.16 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => 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) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum_Oinfinite,axiom, % 194.19/194.16 ! [V_g_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__add(T_c) % 194.19/194.16 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => 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) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_less__Suc__eq__0__disj,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 194.19/194.16 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 | ? [B_j] : % 194.19/194.16 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_less__Suc0,axiom, % 194.19/194.16 ! [V_n_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 194.19/194.16 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_gr0__conv__Suc,axiom, % 194.19/194.16 ! [V_n_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 194.19/194.16 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_one__is__add,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) % 194.19/194.16 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.19/194.16 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.19/194.16 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__is__1,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.19/194.16 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.19/194.16 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.19/194.16 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__gr__0,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2))) % 194.19/194.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 194.19/194.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card_Oempty,axiom, % 194.19/194.16 ! [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) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card__infinite,axiom, % 194.19/194.16 ! [V_A_2,T_b] : % 194.19/194.16 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__eq__1__iff,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.19/194.16 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.19/194.16 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_diff__less,axiom, % 194.19/194.16 ! [V_m,V_n] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 194.19/194.16 => 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)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__less__diff,axiom, % 194.19/194.16 ! [V_m_2,V_n_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__mult__eq__cancel1,axiom, % 194.19/194.16 ! [V_n_2,V_m_2,V_k_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 194.19/194.16 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 194.19/194.16 <=> V_m_2 = V_n_2 ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__mult__less__cancel1,axiom, % 194.19/194.16 ! [V_n_2,V_m_2,V_k_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__mono2,axiom, % 194.19/194.16 ! [V_k,V_j,V_i] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__mono1,axiom, % 194.19/194.16 ! [V_k,V_j,V_i] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__cancel2,axiom, % 194.19/194.16 ! [V_n_2,V_k_2,V_m_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))) % 194.19/194.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__cancel1,axiom, % 194.19/194.16 ! [V_n_2,V_m_2,V_k_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 194.19/194.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__0__less__mult__iff,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))) % 194.19/194.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_diff__add__0,axiom, % 194.19/194.16 ! [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) ). % 194.19/194.16 % 194.19/194.16 fof(fact_diff__is__0__eq,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_diff__is__0__eq_H,axiom, % 194.19/194.16 ! [V_n,V_m] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 194.19/194.16 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_One__nat__def,axiom, % 194.19/194.16 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__eq__self__implies__10,axiom, % 194.19/194.16 ! [V_n,V_m] : % 194.19/194.16 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 194.19/194.16 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 194.19/194.16 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__eq__0__iff,axiom, % 194.19/194.16 ! [V_f_2,V_F_2,T_b] : % 194.19/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 194.19/194.16 => ( 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) % 194.19/194.16 <=> ! [B_x] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 194.19/194.16 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 194.19/194.16 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 194.19/194.16 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.19/194.16 => 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) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__nonpos__neg,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__neg__nonpos,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__strict__increasing2,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__strict__increasing,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__nonneg__pos,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__pos__nonneg,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__left__le__imp__le,axiom, % 194.19/194.16 ! [V_b,V_a,V_c,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__right__le__imp__le,axiom, % 194.19/194.16 ! [V_b,V_c,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__imp__less__left,axiom, % 194.19/194.16 ! [V_b,V_a,V_c,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__left__less__imp__less,axiom, % 194.19/194.16 ! [V_b,V_a,V_c,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__imp__less__right,axiom, % 194.19/194.16 ! [V_b,V_c,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__right__less__imp__less,axiom, % 194.19/194.16 ! [V_b,V_c,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__le__less__imp__less,axiom, % 194.19/194.16 ! [V_d,V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => 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))) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__less__le__imp__less,axiom, % 194.19/194.16 ! [V_d,V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => 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))) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__strict__mono_H,axiom, % 194.19/194.16 ! [V_d,V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => 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))) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__strict__mono,axiom, % 194.19/194.16 ! [V_d,V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__strict(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.16 => 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))) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__le__cancel__left__neg,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__le__cancel__left__pos,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_sum__squares__le__zero__iff,axiom, % 194.19/194.16 ! [V_y_2,V_x_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_sum__squares__ge__zero,axiom, % 194.19/194.16 ! [V_y,V_x,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__ring(T_a) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_not__sum__squares__lt__zero,axiom, % 194.19/194.16 ! [V_y,V_x,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__ring(T_a) % 194.19/194.16 => ~ 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))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_sum__squares__gt__zero__iff,axiom, % 194.19/194.16 ! [V_y_2,V_x_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__ring__strict(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_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)))) % 194.19/194.16 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__left__le__one__le,axiom, % 194.19/194.16 ! [V_y,V_x,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__idom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__right__le__one__le,axiom, % 194.19/194.16 ! [V_y,V_x,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__idom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__less__two,axiom, % 194.19/194.16 ! [T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => 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)))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card__eq__0__iff,axiom, % 194.19/194.16 ! [V_A_2,T_b] : % 194.19/194.16 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.19/194.16 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card__ge__0__finite,axiom, % 194.19/194.16 ! [V_A_2,T_b] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_diff__Suc__less,axiom, % 194.19/194.16 ! [V_i,V_n] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Suc__pred,axiom, % 194.19/194.16 ! [V_n] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.16 => 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 ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_one__less__mult,axiom, % 194.19/194.16 ! [V_m,V_n] : % 194.19/194.16 ( 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)) % 194.19/194.16 => ( 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)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_n__less__n__mult__m,axiom, % 194.19/194.16 ! [V_m,V_n] : % 194.19/194.16 ( 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)) % 194.19/194.16 => ( 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)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_n__less__m__mult__n,axiom, % 194.19/194.16 ! [V_m,V_n] : % 194.19/194.16 ( 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)) % 194.19/194.16 => ( 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)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__diff__split,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_P_2] : % 194.19/194.16 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 194.19/194.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 194.19/194.16 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 194.19/194.16 & ! [B_d] : % 194.19/194.16 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 194.19/194.16 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__diff__split__asm,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_P_2] : % 194.19/194.16 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 194.19/194.16 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 194.19/194.16 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 194.19/194.16 | ? [B_d] : % 194.19/194.16 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 194.19/194.16 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_one__le__mult__iff,axiom, % 194.19/194.16 ! [V_n_2,V_m_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))) % 194.19/194.16 <=> ( 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)) % 194.19/194.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__mult__le__cancel1,axiom, % 194.19/194.16 ! [V_n_2,V_m_2,V_k_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__le__cancel1,axiom, % 194.19/194.16 ! [V_n_2,V_m_2,V_k_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 194.19/194.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__le__cancel2,axiom, % 194.19/194.16 ! [V_n_2,V_k_2,V_m_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))) % 194.19/194.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod_Oinsert,axiom, % 194.19/194.16 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod__insert,axiom, % 194.19/194.16 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__eq__Suc0__iff,axiom, % 194.19/194.16 ! [V_f_2,V_A_2,T_b] : % 194.19/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( 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)) % 194.19/194.16 <=> ? [B_x] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.19/194.16 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.19/194.16 & ! [B_xa] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 194.19/194.16 => ( B_x != B_xa % 194.19/194.16 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod__Un__Int,axiom, % 194.19/194.16 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod_Ounion__inter,axiom, % 194.19/194.16 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__eq__1__iff,axiom, % 194.19/194.16 ! [V_f_2,V_A_2,T_b] : % 194.19/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( 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) % 194.19/194.16 <=> ? [B_x] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.19/194.16 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 194.19/194.16 & ! [B_xa] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 194.19/194.16 => ( B_x != B_xa % 194.19/194.16 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_convex__bound__le,axiom, % 194.19/194.16 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semiring__1(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 194.19/194.16 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 194.19/194.16 => 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)) ) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_fold__image__insert,axiom, % 194.19/194.16 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Oab__semigroup__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod_Oinsert__remove,axiom, % 194.19/194.16 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => 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)))))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod_Ounion__disjoint,axiom, % 194.19/194.16 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => ( 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)) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod__Un__disjoint,axiom, % 194.19/194.16 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => ( 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)) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_finite__PlusD_I2_J,axiom, % 194.19/194.16 ! [V_B_2,V_A_2,T_c,T_b] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_finite__PlusD_I1_J,axiom, % 194.19/194.16 ! [V_B_2,V_A_2,T_c,T_b] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_finite__Plus,axiom, % 194.19/194.16 ! [V_B_2,T_c,V_A_2,T_b] : % 194.19/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_finite__Plus__iff,axiom, % 194.19/194.16 ! [V_B_2,V_A_2,T_c,T_b] : % 194.19/194.16 ( 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))) % 194.19/194.16 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card__gt__0__iff,axiom, % 194.19/194.16 ! [V_A_2,T_b] : % 194.19/194.16 ( 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))) % 194.19/194.16 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.19/194.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_finite__UNIV__card__ge__0,axiom, % 194.19/194.16 ! [T_b] : % 194.19/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 194.19/194.16 => 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))))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Suc__pred_H,axiom, % 194.19/194.16 ! [V_n] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.16 => 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))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Suc__diff__1,axiom, % 194.19/194.16 ! [V_n] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.16 => 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 ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__eq__if,axiom, % 194.19/194.16 ! [V_n,V_m] : % 194.19/194.16 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 194.19/194.16 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => 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)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_mult__eq__if,axiom, % 194.19/194.16 ! [V_n,V_m] : % 194.19/194.16 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.19/194.16 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => 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)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_UNIV__Plus__UNIV,axiom, % 194.19/194.16 ! [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)) ). % 194.19/194.16 % 194.19/194.16 fof(fact_triple_Osize_I1_J,axiom, % 194.19/194.16 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.19/194.16 % 194.19/194.16 fof(fact_even__less__0__iff,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_triple_Osize_I2_J,axiom, % 194.19/194.16 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__monoid__big_OF__eq,axiom, % 194.19/194.16 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 194.19/194.16 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 194.19/194.16 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.19/194.16 => 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) ) % 194.19/194.16 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.19/194.16 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card_Ounion__inter__neutral,axiom, % 194.19/194.16 ! [V_B_2,V_A_2,T_b] : % 194.19/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => ( ( ? [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))) % 194.19/194.16 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__mono2,axiom, % 194.19/194.16 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Oordered__comm__monoid__add(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.19/194.16 => ( ! [B_b] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 194.19/194.16 => 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))) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Plus__eq__empty__conv,axiom, % 194.19/194.16 ! [V_B_2,V_A_2,T_c,T_b] : % 194.19/194.16 ( 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)) % 194.19/194.16 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.19/194.16 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__monoid__big_Oinfinite,axiom, % 194.19/194.16 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 194.19/194.16 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 194.19/194.16 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.19/194.16 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_double__eq__0__iff,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.19/194.16 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_fold__image__Un__one,axiom, % 194.19/194.16 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 194.19/194.16 => ( ! [B_x] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod_Ounion__inter__neutral,axiom, % 194.19/194.16 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => ( ! [B_x] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod__Un__one,axiom, % 194.19/194.16 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 194.19/194.16 => ( ! [B_x] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum_Ounion__inter__neutral,axiom, % 194.19/194.16 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__add(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => ( ! [B_x] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__Un__zero,axiom, % 194.19/194.16 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__add(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 194.19/194.16 => ( ! [B_x] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 194.19/194.16 => 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)) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card__Suc__eq,axiom, % 194.19/194.16 ! [V_k_2,V_A_2,T_b] : % 194.19/194.16 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 194.19/194.16 <=> ? [B_b,B_B] : % 194.19/194.16 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 194.19/194.16 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 194.19/194.16 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 194.19/194.16 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setsum__mono3,axiom, % 194.19/194.16 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 194.19/194.16 ( ( class_Groups_Ocomm__monoid__add(T_c) % 194.19/194.16 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.19/194.16 => ( ! [B_x] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 194.19/194.16 => 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))) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__odd__less__0,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_com_Osize_I4_J,axiom, % 194.19/194.16 ! [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))) ). % 194.19/194.16 % 194.19/194.16 fof(fact_card__Pow,axiom, % 194.19/194.16 ! [V_A_2,T_b] : % 194.19/194.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_com_Osize_I12_J,axiom, % 194.19/194.16 ! [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))) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod__diff1,axiom, % 194.19/194.16 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 194.19/194.16 ( class_Fields_Ofield(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.16 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 194.19/194.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.16 => 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)) ) % 194.19/194.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.16 => 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) ) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_ex__least__nat__less,axiom, % 194.19/194.16 ! [V_n_2,V_P_2] : % 194.19/194.16 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 194.19/194.16 => ( hBOOL(hAPP(V_P_2,V_n_2)) % 194.19/194.16 => ? [B_k] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 194.19/194.16 & ! [B_i] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 194.19/194.16 => ~ hBOOL(hAPP(V_P_2,B_i)) ) % 194.19/194.16 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_setprod__mono__one__left,axiom, % 194.19/194.16 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 194.19/194.16 => ( ! [B_x] : % 194.19/194.16 ( 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))) % 194.19/194.16 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 194.19/194.16 => 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) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__power,axiom, % 194.19/194.16 ! [V_n_2,V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Oring__1(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_divide__zero__left,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_divide__zero,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_add__divide__distrib,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_times__divide__eq__right,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_diff__divide__distrib,axiom, % 194.19/194.16 ! [V_c,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 194.19/194.16 ! [V_q,V_y,V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_divide__1,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_minus__divide__left,axiom, % 194.19/194.16 ! [V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 194.19/194.16 ! [V_q,V_p,V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 194.19/194.16 ! [V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_eq__divide__imp,axiom, % 194.19/194.16 ! [V_b,V_a,V_c,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 194.19/194.16 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_divide__eq__imp,axiom, % 194.19/194.16 ! [V_a,V_b,V_c,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 194.19/194.16 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nonzero__divide__eq__eq,axiom, % 194.19/194.16 ! [V_a_2,V_b_2,V_c_2,T_b] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_b) % 194.19/194.16 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 194.19/194.16 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nonzero__eq__divide__eq,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_b) % 194.19/194.16 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 194.19/194.16 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_right__inverse__eq,axiom, % 194.19/194.16 ! [V_a_2,V_b_2,T_b] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_b) % 194.19/194.16 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 194.19/194.16 <=> V_a_2 = V_b_2 ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_divide__self,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_divide__self__if,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 194.19/194.16 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 194.19/194.16 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nonzero__minus__divide__right,axiom, % 194.19/194.16 ! [V_a,V_b,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => 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)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nonzero__minus__divide__divide,axiom, % 194.19/194.16 ! [V_a,V_b,T_a] : % 194.19/194.16 ( class_Rings_Odivision__ring(T_a) % 194.19/194.16 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => 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) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 194.19/194.16 ! [V_q,V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 194.19/194.16 ! [V_q,V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 194.19/194.16 ! [V_q,V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 194.19/194.16 ! [V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 194.19/194.16 ! [V_q,V_p,V_x,T_a] : % 194.19/194.16 ( class_Rings_Ocomm__semiring__1(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__0,axiom, % 194.19/194.16 ! [T_b] : % 194.19/194.16 ( class_Rings_Oring__1(T_b) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__add,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Oring__1(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__mult,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Oring__1(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__diff,axiom, % 194.19/194.16 ! [V_b_2,V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Oring__1(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__1,axiom, % 194.19/194.16 ! [T_b] : % 194.19/194.16 ( class_Rings_Oring__1(T_b) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__minus,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Oring__1(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_com_Osize_I9_J,axiom, % 194.19/194.16 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.19/194.16 % 194.19/194.16 fof(fact_com_Osize_I1_J,axiom, % 194.19/194.16 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__eq__if,axiom, % 194.19/194.16 ! [V_p,V_m] : % 194.19/194.16 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 194.19/194.16 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => 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)))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__double__eq__0__iff,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Int_Oring__char__0(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_Ints__odd__nonzero,axiom, % 194.19/194.16 ! [V_a_2,T_b] : % 194.19/194.16 ( class_Int_Oring__char__0(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 194.19/194.16 => 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) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__strict__mono,axiom, % 194.19/194.16 ! [V_n,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.16 => 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))) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__diff,axiom, % 194.19/194.16 ! [V_m,V_n,V_a,T_a] : % 194.19/194.16 ( class_Fields_Ofield(T_a) % 194.19/194.16 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 194.19/194.16 => 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)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_one__less__power,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__increasing__iff,axiom, % 194.19/194.16 ! [V_y_2,V_x_2,V_b_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 194.19/194.16 => ( 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))) % 194.19/194.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__le__imp__le__exp,axiom, % 194.19/194.16 ! [V_n,V_m,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.16 => ( 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))) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__decreasing,axiom, % 194.19/194.16 ! [V_a,V_N,V_n,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 194.19/194.16 => 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))) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__strict__decreasing,axiom, % 194.19/194.16 ! [V_a,V_N,V_n,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 194.19/194.16 => 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))) ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zpower__zadd__distrib,axiom, % 194.19/194.16 ! [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)) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zpower__zpower,axiom, % 194.19/194.16 ! [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)) ). % 194.19/194.16 % 194.19/194.16 fof(fact_field__power__not__zero,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 194.19/194.16 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__commutes,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Groups_Omonoid__mult(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__mult__distrib,axiom, % 194.19/194.16 ! [V_n,V_b,V_a,T_a] : % 194.19/194.16 ( class_Groups_Ocomm__monoid__mult(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__one,axiom, % 194.19/194.16 ! [V_n,T_a] : % 194.19/194.16 ( class_Groups_Omonoid__mult(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__mult,axiom, % 194.19/194.16 ! [V_n,V_m,V_a,T_a] : % 194.19/194.16 ( class_Groups_Omonoid__mult(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__divide,axiom, % 194.19/194.16 ! [V_n,V_b,V_a,T_a] : % 194.19/194.16 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__one__right,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Groups_Omonoid__mult(T_a) % 194.19/194.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__mono,axiom, % 194.19/194.16 ! [V_n,V_b,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__le__power,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_zero__less__power,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__eq__0__iff,axiom, % 194.19/194.16 ! [V_n_2,V_a_2,T_b] : % 194.19/194.16 ( ( class_Power_Opower(T_b) % 194.19/194.16 & class_Rings_Omult__zero(T_b) % 194.19/194.16 & class_Rings_Ono__zero__divisors(T_b) % 194.19/194.16 & class_Rings_Ozero__neq__one(T_b) ) % 194.19/194.16 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.16 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_one__le__power,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.16 => 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))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__0__Suc,axiom, % 194.19/194.16 ! [V_n,T_a] : % 194.19/194.16 ( ( class_Power_Opower(T_a) % 194.19/194.16 & class_Rings_Osemiring__0(T_a) ) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__inject__exp,axiom, % 194.19/194.16 ! [V_n_2,V_m_2,V_a_2,T_b] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_b) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 194.19/194.16 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) % 194.19/194.16 <=> V_m_2 = V_n_2 ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__Suc2,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Groups_Omonoid__mult(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__Suc,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Power_Opower(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__0,axiom, % 194.19/194.16 ! [V_a,T_a] : % 194.19/194.16 ( class_Power_Opower(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__add,axiom, % 194.19/194.16 ! [V_n,V_m,V_a,T_a] : % 194.19/194.16 ( class_Groups_Omonoid__mult(T_a) % 194.19/194.16 => 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)) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nonzero__power__divide,axiom, % 194.19/194.16 ! [V_n,V_a,V_b,T_a] : % 194.19/194.16 ( class_Fields_Ofield(T_a) % 194.19/194.16 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.16 => 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)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__one__over,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.16 => 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) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 194.19/194.16 ! [V_m_2,V_x_2] : % 194.19/194.16 ( 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)) % 194.19/194.16 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__Suc__0,axiom, % 194.19/194.16 ! [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)) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__power__less__imp__less,axiom, % 194.19/194.16 ! [V_n,V_m,V_i] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 194.19/194.16 => ( 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))) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_nat__zero__less__power__iff,axiom, % 194.19/194.16 ! [V_n_2,V_x_2] : % 194.19/194.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2))) % 194.19/194.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 194.19/194.16 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__less__imp__less__base,axiom, % 194.19/194.16 ! [V_b,V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( 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))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__inject__base,axiom, % 194.19/194.16 ! [V_b,V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( 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)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => V_a = V_b ) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__le__imp__le__base,axiom, % 194.19/194.16 ! [V_b,V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( 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)))) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__gt1__lemma,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.16 => 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)))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__less__power__Suc,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.16 => 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)))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__0__left,axiom, % 194.19/194.16 ! [V_n,T_a] : % 194.19/194.16 ( ( class_Power_Opower(T_a) % 194.19/194.16 & class_Rings_Osemiring__0(T_a) ) % 194.19/194.16 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => 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) ) % 194.19/194.16 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.16 => 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) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__gt1,axiom, % 194.19/194.16 ! [V_n,V_a,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.16 => 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)))) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__strict__increasing,axiom, % 194.19/194.16 ! [V_a,V_N,V_n,T_a] : % 194.19/194.16 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 194.19/194.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.16 => 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))) ) ) ) ). % 194.19/194.16 % 194.19/194.16 fof(fact_power__less__imp__less__exp,axiom, % 194.19/194.16 ! [V_n,V_m,V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.17 => ( 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))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power__strict__increasing__iff,axiom, % 194.19/194.17 ! [V_y_2,V_x_2,V_b_2,T_b] : % 194.19/194.17 ( class_Rings_Olinordered__semidom(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power__increasing,axiom, % 194.19/194.17 ! [V_a,V_N,V_n,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power__minus,axiom, % 194.19/194.17 ! [V_n,V_a,T_a] : % 194.19/194.17 ( class_Rings_Oring__1(T_a) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_nat__one__le__power,axiom, % 194.19/194.17 ! [V_n,V_i] : % 194.19/194.17 ( 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)) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power__Suc__less,axiom, % 194.19/194.17 ! [V_n,V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power__eq__imp__eq__base,axiom, % 194.19/194.17 ! [V_b,V_n,V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.17 => ( 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) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => V_a = V_b ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power__Suc__less__one,axiom, % 194.19/194.17 ! [V_n,V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_le__divide__eq,axiom, % 194.19/194.17 ! [V_c_2,V_b_2,V_a_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__le__eq,axiom, % 194.19/194.17 ! [V_a_2,V_c_2,V_b_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__le__divide__eq,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__divide__le__eq,axiom, % 194.19/194.17 ! [V_a_2,V_b_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mult__imp__div__pos__le,axiom, % 194.19/194.17 ! [V_z,V_x,V_y,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => ( 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))) % 194.19/194.17 => 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)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mult__imp__le__div__pos,axiom, % 194.19/194.17 ! [V_x,V_z,V_y,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => ( 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)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__le__divide__eq,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult__commute,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult__assoc,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult__zminus,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiff__zmult__distrib,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiff__zmult__distrib2,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__zmult__distrib2,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__zmult__distrib,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult__zless__mono2,axiom, % 194.19/194.17 ! [V_k,V_j,V_i] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult__1,axiom, % 194.19/194.17 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult__1__right,axiom, % 194.19/194.17 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__zmult__eq__1__iff,axiom, % 194.19/194.17 ! [V_n_2,V_m_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 194.19/194.17 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 194.19/194.17 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 194.19/194.17 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_times__divide__times__eq,axiom, % 194.19/194.17 ! [V_w,V_z,V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_minus__divide__right,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_minus__divide__divide,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zero__le__divide__iff,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 194.19/194.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__le__0__iff,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 194.19/194.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__right__mono,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__right__mono__neg,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zero__less__divide__iff,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 194.19/194.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__less__0__iff,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 194.19/194.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__pos__pos,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__pos__neg,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__neg__pos,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__neg__neg,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__strict__right__mono,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__strict__right__mono__neg,axiom, % 194.19/194.17 ! [V_c,V_a,V_b,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_frac__eq__eq,axiom, % 194.19/194.17 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 194.19/194.17 ( class_Fields_Ofield(T_b) % 194.19/194.17 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.17 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.17 => ( 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) % 194.19/194.17 <=> 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) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mult__divide__mult__cancel__left,axiom, % 194.19/194.17 ! [V_b,V_a,V_c,T_a] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.17 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mult__divide__mult__cancel__right,axiom, % 194.19/194.17 ! [V_b,V_a,V_c,T_a] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.17 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__eq__eq,axiom, % 194.19/194.17 ! [V_a_2,V_c_2,V_b_2,T_b] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_b) % 194.19/194.17 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 194.19/194.17 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.17 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 194.19/194.17 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.17 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_eq__divide__eq,axiom, % 194.19/194.17 ! [V_c_2,V_b_2,V_a_2,T_b] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_b) % 194.19/194.17 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 194.19/194.17 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 194.19/194.17 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.17 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__nonpos__neg,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__nonpos__pos,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_frac__le,axiom, % 194.19/194.17 ! [V_z,V_w,V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 194.19/194.17 => 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))) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_frac__less,axiom, % 194.19/194.17 ! [V_z,V_w,V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 194.19/194.17 => 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))) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_frac__less2,axiom, % 194.19/194.17 ! [V_z,V_w,V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 194.19/194.17 => 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))) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__nonneg__neg,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__nonneg__pos,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__strict__left__mono__neg,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => ( 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))) % 194.19/194.17 => 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))) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__strict__left__mono,axiom, % 194.19/194.17 ! [V_c,V_a,V_b,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.17 => ( 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))) % 194.19/194.17 => 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))) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__divide__less__eq,axiom, % 194.19/194.17 ! [V_a_2,V_b_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__less__divide__eq,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mult__imp__less__div__pos,axiom, % 194.19/194.17 ! [V_x,V_z,V_y,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => ( 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)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mult__imp__div__pos__less,axiom, % 194.19/194.17 ! [V_z,V_x,V_y,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.19/194.17 => ( 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))) % 194.19/194.17 => 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)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__divide__less__eq,axiom, % 194.19/194.17 ! [V_a_2,V_b_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__less__divide__eq,axiom, % 194.19/194.17 ! [V_b_2,V_a_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__less__eq,axiom, % 194.19/194.17 ! [V_a_2,V_c_2,V_b_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_less__divide__eq,axiom, % 194.19/194.17 ! [V_c_2,V_b_2,V_a_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_add__num__frac,axiom, % 194.19/194.17 ! [V_x,V_z,V_y,T_a] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.17 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_add__divide__eq__iff,axiom, % 194.19/194.17 ! [V_y,V_x,V_z,T_a] : % 194.19/194.17 ( class_Fields_Ofield(T_a) % 194.19/194.17 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_add__frac__num,axiom, % 194.19/194.17 ! [V_z,V_x,V_y,T_a] : % 194.19/194.17 ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.17 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__add__eq__iff,axiom, % 194.19/194.17 ! [V_y,V_x,V_z,T_a] : % 194.19/194.17 ( class_Fields_Ofield(T_a) % 194.19/194.17 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_add__frac__eq,axiom, % 194.19/194.17 ! [V_w,V_x,V_z,V_y,T_a] : % 194.19/194.17 ( class_Fields_Ofield(T_a) % 194.19/194.17 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_diff__frac__eq,axiom, % 194.19/194.17 ! [V_w,V_x,V_z,V_y,T_a] : % 194.19/194.17 ( class_Fields_Ofield(T_a) % 194.19/194.17 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__diff__eq__iff,axiom, % 194.19/194.17 ! [V_y,V_x,V_z,T_a] : % 194.19/194.17 ( class_Fields_Ofield(T_a) % 194.19/194.17 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_diff__divide__eq__iff,axiom, % 194.19/194.17 ! [V_y,V_x,V_z,T_a] : % 194.19/194.17 ( class_Fields_Ofield(T_a) % 194.19/194.17 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_less__half__sum,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.17 => 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))))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_gt__half__sum,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__left__mono__neg,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => ( 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))) % 194.19/194.17 => 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))) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divide__left__mono,axiom, % 194.19/194.17 ! [V_c,V_a,V_b,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 194.19/194.17 => ( 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))) % 194.19/194.17 => 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))) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__divide__le__eq,axiom, % 194.19/194.17 ! [V_a_2,V_b_2,V_c_2,T_b] : % 194.19/194.17 ( class_Fields_Olinordered__field(T_b) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_setprod__Un,axiom, % 194.19/194.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 194.19/194.17 ( class_Fields_Ofield(T_c) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.19/194.17 => ( ! [B_x] : % 194.19/194.17 ( 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))) % 194.19/194.17 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 194.19/194.17 => 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))) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power__power__power,axiom, % 194.19/194.17 ! [T_b] : % 194.19/194.17 ( class_Power_Opower(T_b) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_setprod__mono__one__right,axiom, % 194.19/194.17 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 194.19/194.17 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 194.19/194.17 => ( ! [B_x] : % 194.19/194.17 ( 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))) % 194.19/194.17 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 194.19/194.17 => 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) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_setsum__mono__zero__right,axiom, % 194.19/194.17 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 194.19/194.17 ( class_Groups_Ocomm__monoid__add(T_c) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 194.19/194.17 => ( ! [B_x] : % 194.19/194.17 ( 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))) % 194.19/194.17 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 194.19/194.17 => 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) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_setsum__mono__zero__left,axiom, % 194.19/194.17 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 194.19/194.17 ( class_Groups_Ocomm__monoid__add(T_c) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 194.19/194.17 => ( ! [B_x] : % 194.19/194.17 ( 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))) % 194.19/194.17 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 194.19/194.17 => 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) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_field__le__mult__one__interval,axiom, % 194.19/194.17 ! [V_y,V_x,T_a] : % 194.19/194.17 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 194.19/194.17 => ( ! [B_z] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 194.19/194.17 => 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)) ) ) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__neg,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zless__add1__eq,axiom, % 194.19/194.17 ! [V_z_2,V_w_2] : % 194.19/194.17 ( 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)))) % 194.19/194.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 194.19/194.17 | V_w_2 = V_z_2 ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_odd__less__0,axiom, % 194.19/194.17 ! [V_z_2] : % 194.19/194.17 ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zless__imp__add1__zle,axiom, % 194.19/194.17 ! [V_z,V_w] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_le__imp__0__less,axiom, % 194.19/194.17 ! [V_z] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_add1__zle__eq,axiom, % 194.19/194.17 ! [V_z_2,V_w_2] : % 194.19/194.17 ( 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)) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zle__add1__eq__le,axiom, % 194.19/194.17 ! [V_z_2,V_w_2] : % 194.19/194.17 ( 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)))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_odd__nonzero,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zle__diff1__eq,axiom, % 194.19/194.17 ! [V_z_2,V_w_2] : % 194.19/194.17 ( 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)))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_int__0__less__1,axiom, % 194.19/194.17 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))) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zsgn__def,axiom, % 194.19/194.17 ! [V_i] : % 194.19/194.17 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 194.19/194.17 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 194.19/194.17 => 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)) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_int__one__le__iff__zero__less,axiom, % 194.19/194.17 ! [V_z_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_int__0__neq__1,axiom, % 194.19/194.17 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zminus__0,axiom, % 194.19/194.17 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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_less__bin__lemma,axiom, % 194.19/194.17 ! [V_l_2,V_k_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 194.19/194.17 <=> 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__zminus__inverse2,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__0,axiom, % 194.19/194.17 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__0__right,axiom, % 194.19/194.17 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__strict__right__mono,axiom, % 194.19/194.17 ! [V_k,V_j,V_i] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__zless__mono,axiom, % 194.19/194.17 ! [V_z,V_z_H,V_w,V_w_H] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__left__mono,axiom, % 194.19/194.17 ! [V_k,V_j,V_i] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__assoc,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__left__commute,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zadd__commute,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zminus__zadd__distrib,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_diff__int__def__symmetric,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_diff__int__def,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zless__linear,axiom, % 194.19/194.17 ! [V_y,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 194.19/194.17 | V_x = V_y % 194.19/194.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zless__le,axiom, % 194.19/194.17 ! [V_w_2,V_z_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 194.19/194.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 194.19/194.17 & V_z_2 != V_w_2 ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zminus__zminus,axiom, % 194.19/194.17 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__sgn,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn0,axiom, % 194.19/194.17 ! [T_a] : % 194.19/194.17 ( class_Groups_Osgn__if(T_a) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__0__0,axiom, % 194.19/194.17 ! [V_a_2,T_b] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.17 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.17 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__times,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_a) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__less,axiom, % 194.19/194.17 ! [V_a_2,T_b] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__greater,axiom, % 194.19/194.17 ! [V_a_2,T_b] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_power_Opower_Opower__0,axiom, % 194.19/194.17 ! [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 ). % 194.19/194.17 % 194.19/194.17 fof(fact_power_Opower_Opower__Suc,axiom, % 194.19/194.17 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__pos,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_a) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__1__pos,axiom, % 194.19/194.17 ! [V_a_2,T_b] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.17 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__if,axiom, % 194.19/194.17 ! [V_x,T_a] : % 194.19/194.17 ( class_Groups_Osgn__if(T_a) % 194.19/194.17 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 194.19/194.17 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.19/194.17 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_sgn__1__neg,axiom, % 194.19/194.17 ! [V_a_2,T_b] : % 194.19/194.17 ( class_Rings_Olinordered__idom(T_b) % 194.19/194.17 => ( 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)) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_self__quotient__aux2,axiom, % 194.19/194.17 ! [V_q,V_r,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.17 => ( 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)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_self__quotient__aux1,axiom, % 194.19/194.17 ! [V_q,V_r,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.17 => ( 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)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__mono2__neg__lemma,axiom, % 194.19/194.17 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 194.19/194.17 ( 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) % 194.19/194.17 => ( 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))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_unique__quotient__lemma__neg,axiom, % 194.19/194.17 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 194.19/194.17 ( 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))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__mono2__lemma,axiom, % 194.19/194.17 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 194.19/194.17 ( 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) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_unique__quotient__lemma,axiom, % 194.19/194.17 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 194.19/194.17 ( 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))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zle__antisym,axiom, % 194.19/194.17 ! [V_w,V_z] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 194.19/194.17 => V_z = V_w ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zle__trans,axiom, % 194.19/194.17 ! [V_k,V_j,V_i] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zle__linear,axiom, % 194.19/194.17 ! [V_w,V_z] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 194.19/194.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zle__refl,axiom, % 194.19/194.17 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_q__pos__lemma,axiom, % 194.19/194.17 ! [V_r_H,V_q_H,V_b_H] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_q__neg__lemma,axiom, % 194.19/194.17 ! [V_r_H,V_q_H,V_b_H] : % 194.19/194.17 ( 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))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 194.19/194.17 ! [V_n,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 194.19/194.17 ! [V_y,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 194.19/194.17 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))) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 194.19/194.17 ! [V_y,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 194.19/194.17 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))) ). % 194.19/194.17 % 194.19/194.17 fof(fact_int__power__div__base,axiom, % 194.19/194.17 ! [V_k,V_m] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 194.19/194.17 => 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)))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zero,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zminus__zminus,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zminus2,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__0,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__by__0,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__by__1,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 194.19/194.17 ! [V_y,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 194.19/194.17 ! [V_a_2,V_b_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 194.19/194.17 ! [V_a_2,V_b_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__neg__pos__less0,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__self,axiom, % 194.19/194.17 ! [V_a] : % 194.19/194.17 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__mult1__if,axiom, % 194.19/194.17 ! [V_b,V_a,V_c,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) % 194.19/194.17 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__self2__is__id,axiom, % 194.19/194.17 ! [V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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 ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__self1__is__id,axiom, % 194.19/194.17 ! [V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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 ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__mult2,axiom, % 194.19/194.17 ! [V_b,V_a,V_c,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__mult1,axiom, % 194.19/194.17 ! [V_b,V_a,V_c,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__self,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__mono1__neg,axiom, % 194.19/194.17 ! [V_b,V_a_H,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__mono1,axiom, % 194.19/194.17 ! [V_b,V_a_H,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__neg__neg__trivial,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__mono2__neg,axiom, % 194.19/194.17 ! [V_b,V_b_H,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__nonpos__pos__le0,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 194.19/194.17 ! [V_a_2,V_b_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__pos__pos__trivial,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__nonneg__neg__le0,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__mono2,axiom, % 194.19/194.17 ! [V_b,V_b_H,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 194.19/194.17 ! [V_b_2,V_a_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 194.19/194.17 ! [V_i_2,V_k_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 194.19/194.17 ! [V_a_2,V_b_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 194.19/194.17 => ( 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))) % 194.19/194.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__eq__0__iff,axiom, % 194.19/194.17 ! [V_k_2,V_i_2] : % 194.19/194.17 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 194.19/194.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_int__div__less__self,axiom, % 194.19/194.17 ! [V_k,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zmult2__eq,axiom, % 194.19/194.17 ! [V_b,V_a,V_c] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__self2,axiom, % 194.19/194.17 ! [V_c,V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__self1,axiom, % 194.19/194.17 ! [V_c,V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__add__self2,axiom, % 194.19/194.17 ! [V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__add__self1,axiom, % 194.19/194.17 ! [V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__zdiv,axiom, % 194.19/194.17 ! [V_k_2,V_n_2,V_P_2] : % 194.19/194.17 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 194.19/194.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.19/194.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 194.19/194.17 => ! [B_i] : % 194.19/194.17 ( ? [B_j] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 194.19/194.17 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 194.19/194.17 => hBOOL(hAPP(V_P_2,B_i)) ) ) % 194.19/194.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ! [B_i] : % 194.19/194.17 ( ? [B_j] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 194.19/194.17 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divmod__int__rel__div__eq,axiom, % 194.19/194.17 ! [V_r_1,V_y,V_b_1,V_a_1] : % 194.19/194.17 ( 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) % 194.19/194.17 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 194.19/194.17 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_z3div__def,axiom, % 194.19/194.17 ! [V_k,V_l] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 194.19/194.17 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_tsub__def,axiom, % 194.19/194.17 ! [V_x,V_y] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 194.19/194.17 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 194.19/194.17 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__pos__lemma,axiom, % 194.19/194.17 ! [V_n_2,V_P_2,V_k_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 194.19/194.17 <=> ! [B_i,B_j] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 194.19/194.17 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 194.19/194.17 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__neg__lemma,axiom, % 194.19/194.17 ! [V_n_2,V_P_2,V_k_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 194.19/194.17 <=> ! [B_i,B_j] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 194.19/194.17 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_setprod__pos__nat,axiom, % 194.19/194.17 ! [V_f_2,V_S_2,T_b] : % 194.19/194.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.19/194.17 => ( ! [B_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 194.19/194.17 => 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))) ) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_setsum__SucD,axiom, % 194.19/194.17 ! [V_n_2,V_A_2,V_f_2,T_b] : % 194.19/194.17 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2) % 194.19/194.17 => ? [B_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.19/194.17 & 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mod__trivial,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__self,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__by__0,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__0,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__add__self2,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__add__self1,axiom, % 194.19/194.17 ! [V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__add__right__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__add__left__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__add__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__simps_I2_J,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__simps_I1_J,axiom, % 194.19/194.17 ! [V_b,V_c,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__add__cong,axiom, % 194.19/194.17 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 194.19/194.17 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 194.19/194.17 => 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) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__right__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__left__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__mult1,axiom, % 194.19/194.17 ! [V_b,V_a,V_c,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__mult2,axiom, % 194.19/194.17 ! [V_b,V_c,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__simps_I4_J,axiom, % 194.19/194.17 ! [V_b,V_c,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__cong,axiom, % 194.19/194.17 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 194.19/194.17 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 194.19/194.17 => 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) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__diff__cong,axiom, % 194.19/194.17 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 194.19/194.17 ( class_Divides_Oring__div(T_a) % 194.19/194.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 194.19/194.17 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 194.19/194.17 => 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) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__diff__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Oring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__diff__left__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Oring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__diff__right__eq,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Oring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__minus__cong,axiom, % 194.19/194.17 ! [V_a_H,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Oring__div(T_a) % 194.19/194.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__minus__eq,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Oring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__le__dividend,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__le__mono,axiom, % 194.19/194.17 ! [V_k,V_n,V_m] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult2__eq,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__self,axiom, % 194.19/194.17 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zero,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zmult1__eq,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__simps_I3_J,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiff__zmod__left,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiff__zmod__right,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zminus2,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zminus__zminus,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zminus__zmod,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zpower__zmod,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__self1__is__0,axiom, % 194.19/194.17 ! [V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__self2__is__0,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__self1,axiom, % 194.19/194.17 ! [V_b,V_c,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__self2,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__by__1,axiom, % 194.19/194.17 ! [V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__div__trivial,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__1,axiom, % 194.19/194.17 ! [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 ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__less,axiom, % 194.19/194.17 ! [V_n,V_m] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_nat__mult__div__cancel__disj,axiom, % 194.19/194.17 ! [V_n,V_m,V_k] : % 194.19/194.17 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 => 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) ) % 194.19/194.17 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__le__nonneg__dividend,axiom, % 194.19/194.17 ! [V_k,V_m] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 194.19/194.17 ! [V_y,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__mod__bound,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__mod__bound,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__eq__0__iff,axiom, % 194.19/194.17 ! [V_d_2,V_m_2] : % 194.19/194.17 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zminus2__not__zero,axiom, % 194.19/194.17 ! [V_l,V_k] : % 194.19/194.17 ( 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) % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zminus1__not__zero,axiom, % 194.19/194.17 ! [V_l,V_k] : % 194.19/194.17 ( 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) % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_DIVISION__BY__ZERO,axiom, % 194.19/194.17 ! [V_a] : % 194.19/194.17 ( 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) % 194.19/194.17 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zdiv__trivial,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zadd1__eq,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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 ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__div__equality2,axiom, % 194.19/194.17 ! [V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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 ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__div__equality,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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 ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mod__equality2,axiom, % 194.19/194.17 ! [V_c,V_a,V_b,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mod__equality,axiom, % 194.19/194.17 ! [V_c,V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__le__mono2,axiom, % 194.19/194.17 ! [V_k,V_n,V_m] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__self__is__m,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => 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 ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult__self1__is__m,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => 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 ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_nat__mult__div__cancel1,axiom, % 194.19/194.17 ! [V_n,V_m,V_k] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__less__dividend,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__mod__sign,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_pos__mod__conj,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.19/194.17 => ( 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))) % 194.19/194.17 & 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__pos__pos__trivial,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__mod__sign,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_neg__mod__conj,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( 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))) % 194.19/194.17 & 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__neg__neg__trivial,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zminus2__eq__if,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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) ) % 194.19/194.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zminus1__eq__if,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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) ) % 194.19/194.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zmod__equality2,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zmod__equality,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zmult1__eq,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zdiv__equality,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zdiv__equality_H,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult__div__cancel,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__geq,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__if,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => 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)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__div,axiom, % 194.19/194.17 ! [V_k_2,V_n_2,V_P_2] : % 194.19/194.17 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 194.19/194.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 194.19/194.17 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 => ! [B_i,B_j] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 194.19/194.17 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 194.19/194.17 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__pos__neg__trivial,axiom, % 194.19/194.17 ! [V_b,V_a] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.17 => ( 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))) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_le__div__geq,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__div__lemma,axiom, % 194.19/194.17 ! [V_m_2,V_q_2,V_n_2] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 194.19/194.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) ) % 194.19/194.17 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__div_H,axiom, % 194.19/194.17 ! [V_n_2,V_m_2,V_P_2] : % 194.19/194.17 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 194.19/194.17 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 194.19/194.17 | ? [B_q] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q)))) % 194.19/194.17 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 194.19/194.17 ! [V_y,V_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_divmod__int__rel__mod__eq,axiom, % 194.19/194.17 ! [V_y,V_q_1,V_b_1,V_a_1] : % 194.19/194.17 ( 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) % 194.19/194.17 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 194.19/194.17 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult2__lemma__aux2,axiom, % 194.19/194.17 ! [V_q,V_r,V_b,V_c] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult2__lemma__aux1,axiom, % 194.19/194.17 ! [V_q,V_r,V_b,V_c] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult2__lemma__aux4,axiom, % 194.19/194.17 ! [V_q,V_b,V_r,V_c] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 194.19/194.17 => 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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmult2__lemma__aux3,axiom, % 194.19/194.17 ! [V_q,V_b,V_r,V_c] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),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))) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__zmod,axiom, % 194.19/194.17 ! [V_k_2,V_n_2,V_P_2] : % 194.19/194.17 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 194.19/194.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 194.19/194.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 194.19/194.17 => ! [B_i,B_j] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 194.19/194.17 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 194.19/194.17 => hBOOL(hAPP(V_P_2,B_j)) ) ) % 194.19/194.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 => ! [B_i,B_j] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 194.19/194.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.17 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 194.19/194.17 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zmod__zmult2__eq,axiom, % 194.19/194.17 ! [V_b,V_a,V_c] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_tsub__eq,axiom, % 194.19/194.17 ! [V_x,V_y] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 194.19/194.17 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zminus1__eq__if,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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)) ) % 194.19/194.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_zdiv__zminus2__eq__if,axiom, % 194.19/194.17 ! [V_a,V_b] : % 194.19/194.17 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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)) ) % 194.19/194.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.17 => 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)) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_z3mod__def,axiom, % 194.19/194.17 ! [V_k,V_l] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 194.19/194.17 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osize_I13_J,axiom, % 194.19/194.17 ! [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))) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osize_I5_J,axiom, % 194.19/194.17 ! [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))) ). % 194.19/194.17 % 194.19/194.17 fof(fact_fold__image__1,axiom, % 194.19/194.17 ! [V_f_2,V_S_2,T_b,T_c] : % 194.19/194.17 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.19/194.17 => ( ! [B_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 194.19/194.17 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 194.19/194.17 => 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) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_card_Oneutral,axiom, % 194.19/194.17 ! [V_A_2,T_b] : % 194.19/194.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.17 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.19/194.17 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.19/194.17 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_fold__image__cong,axiom, % 194.19/194.17 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 194.19/194.17 ( class_Groups_Oab__semigroup__mult(T_c) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.17 => ( ! [B_x] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.19/194.17 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 194.19/194.17 => 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) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_evaln_OIfFalse,axiom, % 194.19/194.17 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] : % 194.19/194.17 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 194.19/194.17 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2) % 194.19/194.17 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_evaln_OIfTrue,axiom, % 194.19/194.17 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] : % 194.19/194.17 ( hBOOL(hAPP(V_b_2,V_s_2)) % 194.19/194.17 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2) % 194.19/194.17 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_evaln__elim__cases_I5_J,axiom, % 194.19/194.17 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 194.19/194.17 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2),V_s_2,V_n_2,V_t_2) % 194.19/194.17 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 194.19/194.17 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) ) % 194.19/194.17 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 194.19/194.17 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osimps_I4_J,axiom, % 194.19/194.17 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 194.19/194.17 ( 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) % 194.19/194.17 <=> ( V_fun_2 = V_fun_H_2 % 194.19/194.17 & V_com1_2 = V_com1_H_2 % 194.19/194.17 & V_com2_2 = V_com2_H_2 ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__less,axiom, % 194.19/194.17 ! [V_n,V_m] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__add1__eq,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__less__eq__dividend,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__distrib,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__distrib2,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_evaln_Oequations_I5_J,axiom, % 194.19/194.17 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 194.19/194.17 ( 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) % 194.19/194.17 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 194.19/194.17 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) % 194.19/194.17 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 194.19/194.17 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_evaln_Oequations_I6_J,axiom, % 194.19/194.17 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 194.19/194.17 ( 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) % 194.19/194.17 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 194.19/194.17 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) % 194.19/194.17 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 194.19/194.17 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osimps_I44_J,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osimps_I45_J,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osimps_I14_J,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osimps_I15_J,axiom, % 194.19/194.17 ! [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 ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__Suc,axiom, % 194.19/194.17 ! [V_n,V_m] : % 194.19/194.17 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.19/194.17 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 194.19/194.17 => 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)) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__1,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__less__divisor,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__eq__0__iff,axiom, % 194.19/194.17 ! [V_d_2,V_m_2] : % 194.19/194.17 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__geq,axiom, % 194.19/194.17 ! [V_n,V_m] : % 194.19/194.17 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__if,axiom, % 194.19/194.17 ! [V_n,V_m] : % 194.19/194.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 194.19/194.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.19/194.17 => 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) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__self3,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult2__eq,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mult1__eq,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_le__mod__geq,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_div__mod__equality_H,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mult__div__cancel,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Divides_Omod__div__equality_H,axiom, % 194.19/194.17 ! [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)) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__le__divisor,axiom, % 194.19/194.17 ! [V_m,V_n] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__mult__self4,axiom, % 194.19/194.17 ! [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) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__lemma,axiom, % 194.19/194.17 ! [V_q,V_b,V_r,V_c] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 194.19/194.17 => 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))) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_split__mod,axiom, % 194.19/194.17 ! [V_k_2,V_n_2,V_P_2] : % 194.19/194.17 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 194.19/194.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 194.19/194.17 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.17 => ! [B_i,B_j] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 194.19/194.17 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 194.19/194.17 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Suc__times__mod__eq,axiom, % 194.19/194.17 ! [V_m,V_k] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 194.19/194.17 => 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) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_Min__eqI,axiom, % 194.19/194.17 ! [V_x_2,V_A_2,T_b] : % 194.19/194.17 ( class_Orderings_Olinorder(T_b) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.17 => ( ! [B_y] : % 194.19/194.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 194.19/194.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 194.19/194.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.17 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_expand__Suc,axiom, % 194.19/194.17 ! [V_v] : % 194.19/194.17 ( 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))) % 194.19/194.17 => 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))) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osize_I3_J,axiom, % 194.19/194.17 ! [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))) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osize_I11_J,axiom, % 194.19/194.17 ! [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))) ). % 194.19/194.17 % 194.19/194.17 fof(fact_mod__div__decomp,axiom, % 194.19/194.17 ! [V_b,V_a,T_a] : % 194.19/194.17 ( class_Divides_Osemiring__div(T_a) % 194.19/194.17 => 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)) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 194.19/194.17 ! [V_x_2,V_A_2,T_b] : % 194.19/194.17 ( class_Orderings_Olinorder(T_b) % 194.19/194.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.17 => 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) ) ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_com_Osimps_I2_J,axiom, % 194.19/194.17 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 194.19/194.17 ( 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) % 194.19/194.17 <=> ( V_loc_2 = V_loc_H_2 % 194.19/194.17 & V_fun_2 = V_fun_H_2 % 194.19/194.17 & V_com_2 = V_com_H_2 ) ) ). % 194.19/194.17 % 194.19/194.17 fof(fact_number__of__reorient,axiom, % 194.19/194.18 ! [V_x_2,V_w_2,T_b] : % 194.19/194.18 ( class_Int_Onumber(T_b) % 194.19/194.18 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 194.19/194.18 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__number__of,axiom, % 194.19/194.18 ! [V_y_2,V_x_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber__ring(T_b) % 194.19/194.18 & class_Int_Oring__char__0(T_b) ) % 194.19/194.18 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 194.19/194.18 <=> V_x_2 = V_y_2 ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fold__empty,axiom, % 194.19/194.18 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 194.19/194.18 % 194.19/194.18 fof(fact_com_Osimps_I37_J,axiom, % 194.19/194.18 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 194.19/194.18 % 194.19/194.18 fof(fact_com_Osimps_I36_J,axiom, % 194.19/194.18 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 194.19/194.18 % 194.19/194.18 fof(fact_com_Osimps_I34_J,axiom, % 194.19/194.18 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ). % 194.19/194.18 % 194.19/194.18 fof(fact_com_Osimps_I35_J,axiom, % 194.19/194.18 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 194.19/194.18 % 194.19/194.18 fof(fact_com_Osimps_I11_J,axiom, % 194.19/194.18 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 194.19/194.18 % 194.19/194.18 fof(fact_com_Osimps_I10_J,axiom, % 194.19/194.18 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__number__of__eq__not__less,axiom, % 194.19/194.18 ! [V_w_2,V_v_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber(T_b) % 194.19/194.18 & class_Orderings_Olinorder(T_b) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> ~ 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))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_left__distrib__number__of,axiom, % 194.19/194.18 ! [V_v,V_b,V_a,T_b] : % 194.19/194.18 ( ( class_Int_Onumber(T_b) % 194.19/194.18 & class_Rings_Osemiring(T_b) ) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_right__distrib__number__of,axiom, % 194.19/194.18 ! [V_c,V_b,V_v,T_b] : % 194.19/194.18 ( ( class_Int_Onumber(T_b) % 194.19/194.18 & class_Rings_Osemiring(T_b) ) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_right__diff__distrib__number__of,axiom, % 194.19/194.18 ! [V_c,V_b,V_v,T_b] : % 194.19/194.18 ( ( class_Int_Onumber(T_b) % 194.19/194.18 & class_Rings_Oring(T_b) ) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_left__diff__distrib__number__of,axiom, % 194.19/194.18 ! [V_v,V_b,V_a,T_b] : % 194.19/194.18 ( ( class_Int_Onumber(T_b) % 194.19/194.18 & class_Rings_Oring(T_b) ) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__number__of,axiom, % 194.19/194.18 ! [V_y_2,V_x_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber__ring(T_b) % 194.19/194.18 & class_Rings_Olinordered__idom(T_b) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__number__of,axiom, % 194.19/194.18 ! [V_y_2,V_x_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber__ring(T_b) % 194.19/194.18 & class_Rings_Olinordered__idom(T_b) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_min__number__of,axiom, % 194.19/194.18 ! [V_v,V_u,T_b] : % 194.19/194.18 ( ( class_Int_Onumber(T_b) % 194.19/194.18 & class_Orderings_Oord(T_b) ) % 194.19/194.18 => ( ( 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))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => 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) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__number__of__left,axiom, % 194.19/194.18 ! [V_z,V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__number__of__eq,axiom, % 194.19/194.18 ! [V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__add,axiom, % 194.19/194.18 ! [V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_mult__number__of__left,axiom, % 194.19/194.18 ! [V_z,V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_arith__simps_I32_J,axiom, % 194.19/194.18 ! [V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__mult,axiom, % 194.19/194.18 ! [V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__diff,axiom, % 194.19/194.18 ! [V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_arith__simps_I30_J,axiom, % 194.19/194.18 ! [V_w,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__minus,axiom, % 194.19/194.18 ! [V_w,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Ints__number__of,axiom, % 194.19/194.18 ! [V_w_2,T_b] : % 194.19/194.18 ( class_Int_Onumber__ring(T_b) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__divide__eq__number__of1,axiom, % 194.19/194.18 ! [V_w_2,V_b_2,V_a_2,T_b] : % 194.19/194.18 ( ( class_Fields_Ofield__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( 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)) % 194.19/194.18 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => 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 ) % 194.19/194.18 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__divide__eq__number__of,axiom, % 194.19/194.18 ! [V_c_2,V_b_2,V_w_2,T_b] : % 194.19/194.18 ( ( class_Fields_Ofield__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 194.19/194.18 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 ) % 194.19/194.18 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_divide__eq__eq__number__of,axiom, % 194.19/194.18 ! [V_w_2,V_c_2,V_b_2,T_b] : % 194.19/194.18 ( ( class_Fields_Ofield__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) % 194.19/194.18 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) ) % 194.19/194.18 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_divide__eq__eq__number__of1,axiom, % 194.19/194.18 ! [V_a_2,V_w_2,V_b_2,T_b] : % 194.19/194.18 ( ( class_Fields_Ofield__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( 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 % 194.19/194.18 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => 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)) ) % 194.19/194.18 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__number__of__diff1,axiom, % 194.19/194.18 ! [V_c,V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_union__fold__insert,axiom, % 194.19/194.18 ! [V_B_2,V_A_2,T_b] : % 194.19/194.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fold__sup__insert,axiom, % 194.19/194.18 ! [V_a_2,V_b_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Osemilattice__sup(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fold__inf__insert,axiom, % 194.19/194.18 ! [V_a_2,V_b_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Osemilattice__inf(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_minus__number__of__mult,axiom, % 194.19/194.18 ! [V_z,V_w,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_min__max_Ofold__inf__insert,axiom, % 194.19/194.18 ! [V_a_2,V_b_2,V_A_2,T_b] : % 194.19/194.18 ( class_Orderings_Olinorder(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_diff__number__of__eq,axiom, % 194.19/194.18 ! [V_w,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_sup__Sup__fold__sup,axiom, % 194.19/194.18 ! [V_B_2,V_A_2,T_b] : % 194.19/194.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_inf__Inf__fold__inf,axiom, % 194.19/194.18 ! [V_B_2,V_A_2,T_b] : % 194.19/194.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 194.19/194.18 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_sup__le__fold__sup,axiom, % 194.19/194.18 ! [V_b_2,V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Osemilattice__sup(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fold__inf__le__inf,axiom, % 194.19/194.18 ! [V_b_2,V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Osemilattice__inf(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__divide__eq__number__of1,axiom, % 194.19/194.18 ! [V_w_2,V_b_2,V_a_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( 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)))) % 194.19/194.18 <=> ( ( 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))) % 194.19/194.18 => 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)) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => ( ( 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))) % 194.19/194.18 => 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)))) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__divide__eq__number__of,axiom, % 194.19/194.18 ! [V_c_2,V_b_2,V_w_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => 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))) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_divide__less__eq__number__of,axiom, % 194.19/194.18 ! [V_w_2,V_c_2,V_b_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 194.19/194.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => 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))) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_divide__less__eq__number__of1,axiom, % 194.19/194.18 ! [V_a_2,V_w_2,V_b_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( 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)) % 194.19/194.18 <=> ( ( 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))) % 194.19/194.18 => 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)))) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => ( ( 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))) % 194.19/194.18 => 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)) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 194.19/194.18 ! [V_b_2,V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Orderings_Olinorder(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__number__of__diff2,axiom, % 194.19/194.18 ! [V_w,V_c,V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Sup__fold__sup,axiom, % 194.19/194.18 ! [V_A_2,T_b] : % 194.19/194.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Inf__fold__inf,axiom, % 194.19/194.18 ! [V_A_2,T_b] : % 194.19/194.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fold1__eq__fold__idem,axiom, % 194.19/194.18 ! [V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 194.19/194.18 ! [V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Olattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 194.19/194.18 ! [V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Olattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Min_Oeq__fold__idem_H,axiom, % 194.19/194.18 ! [V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Orderings_Olinorder(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 194.19/194.18 ! [V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Orderings_Olinorder(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_folding__one_Oeq__fold_H,axiom, % 194.19/194.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__divide__eq__number__of1,axiom, % 194.19/194.18 ! [V_w_2,V_b_2,V_a_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( 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)))) % 194.19/194.18 <=> ( ( 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))) % 194.19/194.18 => 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)) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => ( ( 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))) % 194.19/194.18 => 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)))) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__divide__eq__number__of,axiom, % 194.19/194.18 ! [V_c_2,V_b_2,V_w_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 194.19/194.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => 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))) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_divide__le__eq__number__of,axiom, % 194.19/194.18 ! [V_w_2,V_c_2,V_b_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 194.19/194.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 194.19/194.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 194.19/194.18 => 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))) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_divide__le__eq__number__of1,axiom, % 194.19/194.18 ! [V_a_2,V_w_2,V_b_2,T_b] : % 194.19/194.18 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.19/194.18 & class_Int_Onumber(T_b) ) % 194.19/194.18 => ( 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)) % 194.19/194.18 <=> ( ( 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))) % 194.19/194.18 => 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)))) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => ( ( 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))) % 194.19/194.18 => 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)) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fold1__eq__fold,axiom, % 194.19/194.18 ! [V_a_2,V_A_2,T_b] : % 194.19/194.18 ( class_Groups_Oab__semigroup__mult(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.18 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 194.19/194.18 ! [V_x_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Olattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 194.19/194.18 ! [V_x_2,V_A_2,T_b] : % 194.19/194.18 ( class_Lattices_Olattice(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Min_Oeq__fold_H,axiom, % 194.19/194.18 ! [V_x_2,V_A_2,T_b] : % 194.19/194.18 ( class_Orderings_Olinorder(T_b) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__rec,axiom, % 194.19/194.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 194.19/194.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 194.19/194.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__insert,axiom, % 194.19/194.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 194.19/194.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 194.19/194.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 194.19/194.18 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 194.19/194.18 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__eq__number__of__int__code,axiom, % 194.19/194.18 ! [V_l_2,V_k_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__number__of__int__code,axiom, % 194.19/194.18 ! [V_l_2,V_k_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_plus__numeral__code_I9_J,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_times__numeral__code_I5_J,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_minus__numeral__code_I5_J,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm,axiom, % 194.19/194.18 ! [T_b] : % 194.19/194.18 ( class_Groups_Oab__semigroup__mult(T_b) % 194.19/194.18 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm__idem__insert,axiom, % 194.19/194.18 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm__idem,axiom, % 194.19/194.18 ! [T_b] : % 194.19/194.18 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 194.19/194.18 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm__idem__sup,axiom, % 194.19/194.18 ! [T_b] : % 194.19/194.18 ( class_Lattices_Osemilattice__sup(T_b) % 194.19/194.18 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm__idem__inf,axiom, % 194.19/194.18 ! [T_b] : % 194.19/194.18 ( class_Lattices_Osemilattice__inf(T_b) % 194.19/194.18 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 194.19/194.18 ! [T_b] : % 194.19/194.18 ( class_Orderings_Olinorder(T_b) % 194.19/194.18 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 194.19/194.18 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 194.19/194.18 => V_y_2 = V_x_2 ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_minus__numeral__code_I6_J,axiom, % 194.19/194.18 ! [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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 194.19/194.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__equality,axiom, % 194.19/194.18 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 194.19/194.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 194.19/194.18 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.19/194.18 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 194.19/194.18 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.19/194.18 => ? [B_y_H] : % 194.19/194.18 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 194.19/194.18 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_one__div__nat__number__of,axiom, % 194.19/194.18 ! [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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 194.19/194.18 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 194.19/194.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.19/194.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2)) % 194.19/194.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.19/194.18 => ~ ! [B_y] : % 194.19/194.18 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 194.19/194.18 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__number__of__eq,axiom, % 194.19/194.18 ! [V_y_2,V_x_2,T_b] : % 194.19/194.18 ( class_Int_Onumber__ring(T_b) % 194.19/194.18 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 194.19/194.18 <=> 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)))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_mult__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__number__of__mult__left,axiom, % 194.19/194.18 ! [V_k,V_v_H,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_iszero__Numeral0,axiom, % 194.19/194.18 ! [T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__is__id,axiom, % 194.19/194.18 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__number__of,axiom, % 194.19/194.18 ! [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) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__number__of__def,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Pls__def,axiom, % 194.19/194.18 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zero__is__num__zero,axiom, % 194.19/194.18 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I19_J,axiom, % 194.19/194.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I2_J,axiom, % 194.19/194.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__Pls,axiom, % 194.19/194.18 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__Pls__right,axiom, % 194.19/194.18 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 194.19/194.18 % 194.19/194.18 fof(fact_mult__Pls,axiom, % 194.19/194.18 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 194.19/194.18 % 194.19/194.18 fof(fact_diff__bin__simps_I1_J,axiom, % 194.19/194.18 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 194.19/194.18 % 194.19/194.18 fof(fact_minus__Pls,axiom, % 194.19/194.18 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 194.19/194.18 % 194.19/194.18 fof(fact_iszero__def,axiom, % 194.19/194.18 ! [V_z_2,T_b] : % 194.19/194.18 ( class_Rings_Osemiring__1(T_b) % 194.19/194.18 => ( c_Int_Oiszero(T_b,V_z_2) % 194.19/194.18 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_iszero__0,axiom, % 194.19/194.18 ! [T_a] : % 194.19/194.18 ( class_Rings_Osemiring__1(T_a) % 194.19/194.18 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__0,axiom, % 194.19/194.18 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 194.19/194.18 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_not__iszero__1,axiom, % 194.19/194.18 ! [T_a] : % 194.19/194.18 ( class_Rings_Osemiring__1(T_a) % 194.19/194.18 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__nat__nat__iff,axiom, % 194.19/194.18 ! [V_z_H_2,V_z_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 194.19/194.18 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 194.19/194.18 <=> V_z_2 = V_z_H_2 ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_ex__nat,axiom, % 194.19/194.18 ! [V_P_2] : % 194.19/194.18 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.19/194.18 <=> ? [B_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 194.19/194.18 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_all__nat,axiom, % 194.19/194.18 ! [V_P_2] : % 194.19/194.18 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.19/194.18 <=> ! [B_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 194.19/194.18 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 194.19/194.18 ! [V_y_2,V_x_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 194.19/194.18 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 194.19/194.18 <=> V_x_2 = V_y_2 ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__Pls,axiom, % 194.19/194.18 ! [T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_semiring__norm_I112_J,axiom, % 194.19/194.18 ! [T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 194.19/194.18 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__numeral__0,axiom, % 194.19/194.18 ! [V_a,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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 ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__numeral__0__right,axiom, % 194.19/194.18 ! [V_a,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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 ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_bin__less__0__simps_I1_J,axiom, % 194.19/194.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_semiring__norm_I113_J,axiom, % 194.19/194.18 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__number__of__Pls,axiom, % 194.19/194.18 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__special_I3_J,axiom, % 194.19/194.18 ! [V_x_2,T_b] : % 194.19/194.18 ( class_Int_Onumber__ring(T_b) % 194.19/194.18 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.19/194.18 <=> 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)))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__special_I1_J,axiom, % 194.19/194.18 ! [V_y_2,T_b] : % 194.19/194.18 ( class_Int_Onumber__ring(T_b) % 194.19/194.18 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 194.19/194.18 <=> 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)))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__le__0,axiom, % 194.19/194.18 ! [V_z] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.18 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__0__iff,axiom, % 194.19/194.18 ! [V_i_2] : % 194.19/194.18 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__mono__iff,axiom, % 194.19/194.18 ! [V_w_2,V_z_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zless__nat__conj,axiom, % 194.19/194.18 ! [V_z_2,V_w_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 194.19/194.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 194.19/194.18 ! [V_y_2,V_x_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__1,axiom, % 194.19/194.18 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_divide__Numeral0,axiom, % 194.19/194.18 ! [V_x,T_a] : % 194.19/194.18 ( ( class_Fields_Ofield__inverse__zero(T_a) % 194.19/194.18 & class_Int_Onumber__ring(T_a) ) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__number__of__0,axiom, % 194.19/194.18 ! [V_v_2] : % 194.19/194.18 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__0__number__of,axiom, % 194.19/194.18 ! [V_v_2] : % 194.19/194.18 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H_2,V_v_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 194.19/194.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H_2,V_v_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zero__less__nat__eq,axiom, % 194.19/194.18 ! [V_z_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__less__eq__zless,axiom, % 194.19/194.18 ! [V_z_2,V_w_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 194.19/194.18 ! [V_y_2,V_x_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__le__eq__zle,axiom, % 194.19/194.18 ! [V_z_2,V_w_2] : % 194.19/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 194.19/194.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__add__distrib,axiom, % 194.19/194.18 ! [V_z_H,V_z] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 194.19/194.18 ! [V_y,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__mult__distrib,axiom, % 194.19/194.18 ! [V_z_H,V_z] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 194.19/194.18 ! [V_y,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__diff__distrib,axiom, % 194.19/194.18 ! [V_z,V_z_H] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 194.19/194.18 ! [V_y,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__mod__distrib,axiom, % 194.19/194.18 ! [V_y,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 194.19/194.18 ! [V_y,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__div__distrib,axiom, % 194.19/194.18 ! [V_y,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__special_I3_J,axiom, % 194.19/194.18 ! [V_x_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber__ring(T_b) % 194.19/194.18 & class_Rings_Olinordered__idom(T_b) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__special_I1_J,axiom, % 194.19/194.18 ! [V_y_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber__ring(T_b) % 194.19/194.18 & class_Rings_Olinordered__idom(T_b) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__special_I3_J,axiom, % 194.19/194.18 ! [V_x_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber__ring(T_b) % 194.19/194.18 & class_Rings_Olinordered__idom(T_b) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__special_I1_J,axiom, % 194.19/194.18 ! [V_y_2,T_b] : % 194.19/194.18 ( ( class_Int_Onumber__ring(T_b) % 194.19/194.18 & class_Rings_Olinordered__idom(T_b) ) % 194.19/194.18 => ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__0__number__of,axiom, % 194.19/194.18 ! [V_v_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_add__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 194.19/194.18 => 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)) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 194.19/194.18 ! [V_n,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__power__eq,axiom, % 194.19/194.18 ! [V_n,V_z] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.19/194.18 => 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) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 194.19/194.18 ! [V_y,V_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_one__less__nat__eq,axiom, % 194.19/194.18 ! [V_z_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 194.19/194.18 ! [V_z] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__mult__distrib__neg,axiom, % 194.19/194.18 ! [V_z_H,V_z] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of2,axiom, % 194.19/194.18 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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__aux__def,axiom, % 194.19/194.18 ! [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) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__morphism__nat__int,axiom, % 194.19/194.18 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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_one__mod__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 194.19/194.18 => 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)) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 194.19/194.18 => 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))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__1__add__number__of,axiom, % 194.19/194.18 ! [V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_not__neg__0,axiom, % 194.19/194.18 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_not__neg__1,axiom, % 194.19/194.18 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_not__neg__eq__ge__0,axiom, % 194.19/194.18 ! [V_x_2] : % 194.19/194.18 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_neg__def,axiom, % 194.19/194.18 ! [V_Z_2] : % 194.19/194.18 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_neg__nat,axiom, % 194.19/194.18 ! [V_z] : % 194.19/194.18 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 194.19/194.18 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_not__neg__number__of__Pls,axiom, % 194.19/194.18 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Suc__nat__number__of,axiom, % 194.19/194.18 ! [V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Suc__nat__number__of__add,axiom, % 194.19/194.18 ! [V_n,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_succ__def,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_neg__imp__number__of__eq__0,axiom, % 194.19/194.18 ! [V_v] : % 194.19/194.18 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H_2,V_v_2] : % 194.19/194.18 ( 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) % 194.19/194.18 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 194.19/194.18 => 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))) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 194.19/194.18 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 194.19/194.18 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 194.19/194.18 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__number__of__add__left,axiom, % 194.19/194.18 ! [V_k,V_v_H,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 194.19/194.18 => 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) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__succ,axiom, % 194.19/194.18 ! [V_k,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_mod__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 194.19/194.18 => 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))) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_div__nat__number__of,axiom, % 194.19/194.18 ! [V_v_H,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_power__nat__number__of,axiom, % 194.19/194.18 ! [V_n,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_power__nat__number__of__number__of,axiom, % 194.19/194.18 ! [V_w,V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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)) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.19/194.18 => 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))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__number__of__add__1,axiom, % 194.19/194.18 ! [V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__number__of__diff__1,axiom, % 194.19/194.18 ! [V_v] : % 194.19/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 194.19/194.18 => 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)) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nats__number__of,axiom, % 194.19/194.18 ! [V_w_2,T_b] : % 194.19/194.18 ( class_Int_Onumber__ring(T_b) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 194.19/194.18 => 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))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Suc__diff__number__of,axiom, % 194.19/194.18 ! [V_m,V_v] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_decr__mult__lemma,axiom, % 194.19/194.18 ! [V_k_2,V_P_2,V_d_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 194.19/194.18 => ( ! [B_x] : % 194.19/194.18 ( hBOOL(hAPP(V_P_2,B_x)) % 194.19/194.18 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 194.19/194.18 => ! [B_x] : % 194.19/194.18 ( hBOOL(hAPP(V_P_2,B_x)) % 194.19/194.18 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_incr__mult__lemma,axiom, % 194.19/194.18 ! [V_k_2,V_P_2,V_d_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 194.19/194.18 => ( ! [B_x] : % 194.19/194.18 ( hBOOL(hAPP(V_P_2,B_x)) % 194.19/194.18 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 194.19/194.18 => ! [B_x] : % 194.19/194.18 ( hBOOL(hAPP(V_P_2,B_x)) % 194.19/194.18 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_succ__pred,axiom, % 194.19/194.18 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 194.19/194.18 % 194.19/194.18 fof(fact_le__iff__pred__less,axiom, % 194.19/194.18 ! [V_l_2,V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_pred__def,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nats__0,axiom, % 194.19/194.18 ! [T_b] : % 194.19/194.18 ( class_Rings_Osemiring__1(T_b) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nats__add,axiom, % 194.19/194.18 ! [V_b_2,V_a_2,T_b] : % 194.19/194.18 ( class_Rings_Osemiring__1(T_b) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 194.19/194.18 => 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))) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nats__mult,axiom, % 194.19/194.18 ! [V_b_2,V_a_2,T_b] : % 194.19/194.18 ( class_Rings_Osemiring__1(T_b) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 194.19/194.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 194.19/194.18 => 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))) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nats__1,axiom, % 194.19/194.18 ! [T_b] : % 194.19/194.18 ( class_Rings_Osemiring__1(T_b) % 194.19/194.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_number__of__pred,axiom, % 194.19/194.18 ! [V_w,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_neg__number__of__pred__iff__0,axiom, % 194.19/194.18 ! [V_v_2] : % 194.19/194.18 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 194.19/194.18 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__special_I4_J,axiom, % 194.19/194.18 ! [V_x_2,T_b] : % 194.19/194.18 ( class_Int_Onumber__ring(T_b) % 194.19/194.18 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 194.19/194.18 <=> 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))))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_eq__special_I2_J,axiom, % 194.19/194.18 ! [V_y_2,T_b] : % 194.19/194.18 ( class_Int_Onumber__ring(T_b) % 194.19/194.18 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 194.19/194.18 <=> 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)))) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_of__nat__number__of__lemma,axiom, % 194.19/194.18 ! [V_v,T_a] : % 194.19/194.18 ( class_Int_Onumber__ring(T_a) % 194.19/194.18 => ( ( 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))) % 194.19/194.18 => 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) ) % 194.19/194.18 & ( ~ 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))) % 194.19/194.18 => 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) ) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zmod__minus1,axiom, % 194.19/194.18 ! [V_b] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.19/194.18 => 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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_div__pos__neg__trivial,axiom, % 194.19/194.18 ! [V_b,V_a] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.19/194.18 => ( 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))) % 194.19/194.18 => 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) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_negative__zle,axiom, % 194.19/194.18 ! [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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_negative__zless,axiom, % 194.19/194.18 ! [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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_diff__bin__simps_I4_J,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_minus__Min,axiom, % 194.19/194.18 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I30_J,axiom, % 194.19/194.18 ! [V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I26_J,axiom, % 194.19/194.18 ! [V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I51_J,axiom, % 194.19/194.18 ! [V_l_2,V_k_2] : % 194.19/194.18 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 194.19/194.18 <=> V_k_2 = V_l_2 ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I47_J,axiom, % 194.19/194.18 ! [V_k_2] : % 194.19/194.18 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 194.19/194.18 <=> V_k_2 = c_Int_OMin ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I43_J,axiom, % 194.19/194.18 ! [V_l_2] : % 194.19/194.18 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 194.19/194.18 <=> c_Int_OMin = V_l_2 ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Bit1__Min,axiom, % 194.19/194.18 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 194.19/194.18 % 194.19/194.18 fof(fact_of__nat__eq__iff,axiom, % 194.19/194.18 ! [V_n_2,V_m_2,T_b] : % 194.19/194.18 ( class_Nat_Osemiring__char__0(T_b) % 194.19/194.18 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) % 194.19/194.18 <=> V_m_2 = V_n_2 ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I13_J,axiom, % 194.19/194.18 ! [V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I9_J,axiom, % 194.19/194.18 ! [V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I34_J,axiom, % 194.19/194.18 ! [V_l_2,V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__eq__int__code_I16_J,axiom, % 194.19/194.18 ! [V_k2_2,V_k1_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I17_J,axiom, % 194.19/194.18 ! [V_l_2,V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_less__int__code_I16_J,axiom, % 194.19/194.18 ! [V_k2_2,V_k1_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I24_J,axiom, % 194.19/194.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I46_J,axiom, % 194.19/194.18 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I39_J,axiom, % 194.19/194.18 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I7_J,axiom, % 194.19/194.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I37_J,axiom, % 194.19/194.18 c_Int_OPls != c_Int_OMin ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I40_J,axiom, % 194.19/194.18 c_Int_OMin != c_Int_OPls ). % 194.19/194.18 % 194.19/194.18 fof(fact_nat__int,axiom, % 194.19/194.18 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 194.19/194.18 % 194.19/194.18 fof(fact_not__neg__int,axiom, % 194.19/194.18 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 194.19/194.18 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)))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 194.19/194.18 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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_int__eq__0__conv,axiom, % 194.19/194.18 ! [V_n_2] : % 194.19/194.18 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.19/194.18 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_int__0,axiom, % 194.19/194.18 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) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 194.19/194.18 ! [V_P_2] : % 194.19/194.18 ( ! [B_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 194.19/194.18 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.19/194.18 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 194.19/194.18 ! [V_P_2] : % 194.19/194.18 ( ? [B_x] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 194.19/194.18 & hBOOL(hAPP(V_P_2,B_x)) ) % 194.19/194.18 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 194.19/194.18 ! [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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zero__zle__int,axiom, % 194.19/194.18 ! [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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_int__less__0__conv,axiom, % 194.19/194.18 ! [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))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 194.19/194.18 ! [V_y_2,V_x_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zless__int,axiom, % 194.19/194.18 ! [V_n_2,V_m_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_bin__less__0__simps_I4_J,axiom, % 194.19/194.18 ! [V_w_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 194.19/194.18 ! [V_y_2,V_x_2] : % 194.19/194.18 ( 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))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zle__int,axiom, % 194.19/194.18 ! [V_n_2,V_m_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_bin__less__0__simps_I2_J,axiom, % 194.19/194.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 194.19/194.18 % 194.19/194.18 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zadd__int,axiom, % 194.19/194.18 ! [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)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zadd__int__left,axiom, % 194.19/194.18 ! [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) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zle__iff__zadd,axiom, % 194.19/194.18 ! [V_z_2,V_w_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 194.19/194.18 <=> ? [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)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I22_J,axiom, % 194.19/194.18 ! [V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I12_J,axiom, % 194.19/194.18 ! [V_k_2] : % 194.19/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 194.19/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_of__nat__0__le__iff,axiom, % 194.19/194.18 ! [V_n,T_a] : % 194.19/194.18 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_zero__le__imp__of__nat,axiom, % 194.19/194.18 ! [V_m,T_a] : % 194.19/194.18 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.18 => 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_negative__eq__positive,axiom, % 194.19/194.18 ! [V_m_2,V_n_2] : % 194.19/194.18 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) % 194.19/194.18 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.19/194.18 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_of__nat__less__0__iff,axiom, % 194.19/194.18 ! [V_m,T_a] : % 194.19/194.18 ( class_Rings_Olinordered__semidom(T_a) % 194.19/194.18 => ~ 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))) ) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I20_J,axiom, % 194.19/194.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I23_J,axiom, % 194.19/194.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I3_J,axiom, % 194.19/194.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 194.19/194.18 % 194.19/194.18 fof(fact_rel__simps_I6_J,axiom, % 194.29/194.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Bit1__def,axiom, % 194.29/194.18 ! [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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_not__int__zless__negative,axiom, % 194.29/194.18 ! [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)))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__mult,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zmult__int,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_eq__number__of__Pls__Min,axiom, % 194.29/194.18 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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__0,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Rings_Osemiring__1(T_a) % 194.29/194.18 => 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) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__less__imp__less,axiom, % 194.29/194.18 ! [V_n,V_m,T_a] : % 194.29/194.18 ( class_Rings_Olinordered__semidom(T_a) % 194.29/194.18 => ( 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))) % 194.29/194.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_less__imp__of__nat__less,axiom, % 194.29/194.18 ! [V_n,V_m,T_a] : % 194.29/194.18 ( class_Rings_Olinordered__semidom(T_a) % 194.29/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.29/194.18 => 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))) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__less__iff,axiom, % 194.29/194.18 ! [V_n_2,V_m_2,T_b] : % 194.29/194.18 ( class_Rings_Olinordered__semidom(T_b) % 194.29/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 194.29/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 194.29/194.18 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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__1,axiom, % 194.29/194.18 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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__le__iff,axiom, % 194.29/194.18 ! [V_n_2,V_m_2,T_b] : % 194.29/194.18 ( class_Rings_Olinordered__semidom(T_b) % 194.29/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 194.29/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__add,axiom, % 194.29/194.18 ! [V_n,V_m,T_a] : % 194.29/194.18 ( class_Rings_Osemiring__1(T_a) % 194.29/194.18 => 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)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Int_OMin__def,axiom, % 194.29/194.18 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_mult__Min,axiom, % 194.29/194.18 ! [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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__mult,axiom, % 194.29/194.18 ! [V_n,V_m,T_a] : % 194.29/194.18 ( class_Rings_Osemiring__1(T_a) % 194.29/194.18 => 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)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zmod__int,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_neg__number__of__Bit1,axiom, % 194.29/194.18 ! [V_w_2] : % 194.29/194.18 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 194.29/194.18 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_not__neg__nat,axiom, % 194.29/194.18 ! [V_z] : % 194.29/194.18 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 194.29/194.18 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zdiv__int,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_neg__number__of__Min,axiom, % 194.29/194.18 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__1,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Rings_Osemiring__1(T_a) % 194.29/194.18 => 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) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_pred__Pls,axiom, % 194.29/194.18 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 194.29/194.18 % 194.29/194.18 fof(fact_add__Min,axiom, % 194.29/194.18 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 194.29/194.18 % 194.29/194.18 fof(fact_add__Min__right,axiom, % 194.29/194.18 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 194.29/194.18 % 194.29/194.18 fof(fact_minus__Bit1,axiom, % 194.29/194.18 ! [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))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_iszero__number__of__Bit1,axiom, % 194.29/194.18 ! [V_w,T_a] : % 194.29/194.18 ( ( class_Int_Onumber__ring(T_a) % 194.29/194.18 & class_Int_Oring__char__0(T_a) ) % 194.29/194.18 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_nonzero__number__of__Min,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Ints__of__nat,axiom, % 194.29/194.18 ! [V_n_2,T_b] : % 194.29/194.18 ( class_Rings_Oring__1(T_b) % 194.29/194.18 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_succ__Pls,axiom, % 194.29/194.18 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 194.29/194.18 % 194.29/194.18 fof(fact_succ__Min,axiom, % 194.29/194.18 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 194.29/194.18 % 194.29/194.18 fof(fact_diff__bin__simps_I2_J,axiom, % 194.29/194.18 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__power,axiom, % 194.29/194.18 ! [V_n,V_m,T_a] : % 194.29/194.18 ( class_Rings_Osemiring__1(T_a) % 194.29/194.18 => 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) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__power,axiom, % 194.29/194.18 ! [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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zpower__int,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__in__Nats,axiom, % 194.29/194.18 ! [V_n_2,T_b] : % 194.29/194.18 ( class_Rings_Osemiring__1(T_b) % 194.29/194.18 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_number__of__Bit1,axiom, % 194.29/194.18 ! [V_w,T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => 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)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_mult__numeral__1__right,axiom, % 194.29/194.18 ! [V_a,T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => 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 ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_mult__numeral__1,axiom, % 194.29/194.18 ! [V_a,T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => 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 ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__le__0__conv,axiom, % 194.29/194.18 ! [V_n_2] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.18 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_mult__minus1,axiom, % 194.29/194.18 ! [V_z,T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => 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) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_mult__minus1__right,axiom, % 194.29/194.18 ! [V_z,T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => 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) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_semiring__norm_I110_J,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_numeral__1__eq__1,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_number__of__Min,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => 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)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_arith__simps_I31_J,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => 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) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__Suc0__eq__1,axiom, % 194.29/194.18 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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zless__iff__Suc__zadd,axiom, % 194.29/194.18 ! [V_z_2,V_w_2] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 194.29/194.18 <=> ? [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))) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_nat__0__le,axiom, % 194.29/194.18 ! [V_z] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.29/194.18 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__eq__iff,axiom, % 194.29/194.18 ! [V_z_2,V_m_2] : % 194.29/194.18 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 194.29/194.18 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 194.29/194.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__nat__eq,axiom, % 194.29/194.18 ! [V_z] : % 194.29/194.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.29/194.18 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 194.29/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.29/194.18 => 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) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zless__nat__eq__int__zless,axiom, % 194.29/194.18 ! [V_z_2,V_m_2] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 194.29/194.18 <=> 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)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_rel__simps_I29_J,axiom, % 194.29/194.18 ! [V_k_2] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 194.29/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_rel__simps_I5_J,axiom, % 194.29/194.18 ! [V_k_2] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 194.29/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__zle__neg,axiom, % 194.29/194.18 ! [V_m_2,V_n_2] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))) % 194.29/194.18 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.18 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_int__Suc,axiom, % 194.29/194.18 ! [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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_divide__numeral__1,axiom, % 194.29/194.18 ! [V_a,T_a] : % 194.29/194.18 ( ( class_Fields_Ofield(T_a) % 194.29/194.18 & class_Int_Onumber__ring(T_a) ) % 194.29/194.18 => 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 ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_divide__Numeral1,axiom, % 194.29/194.18 ! [V_x,T_a] : % 194.29/194.18 ( ( class_Fields_Ofield(T_a) % 194.29/194.18 & class_Int_Onumber__ring(T_a) ) % 194.29/194.18 => 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 ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_negative__zle__0,axiom, % 194.29/194.18 ! [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))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_divide__minus1,axiom, % 194.29/194.18 ! [V_x,T_a] : % 194.29/194.18 ( ( class_Fields_Ofield__inverse__zero(T_a) % 194.29/194.18 & class_Int_Onumber__ring(T_a) ) % 194.29/194.18 => 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) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_nat__zminus__int,axiom, % 194.29/194.18 ! [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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_one__is__num__one,axiom, % 194.29/194.18 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zdiff__int,axiom, % 194.29/194.18 ! [V_m,V_n] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 194.29/194.18 => 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)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zmod__minus1__right,axiom, % 194.29/194.18 ! [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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_nat__numeral__1__eq__1,axiom, % 194.29/194.18 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 194.29/194.18 % 194.29/194.18 fof(fact_Numeral1__eq1__nat,axiom, % 194.29/194.18 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 194.29/194.18 ! [V_n,V_m] : % 194.29/194.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 194.29/194.18 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 194.29/194.18 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zmult__eq__1__iff,axiom, % 194.29/194.18 ! [V_n_2,V_m_2] : % 194.29/194.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 194.29/194.18 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 194.29/194.18 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 194.29/194.18 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 194.29/194.18 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__Suc,axiom, % 194.29/194.18 ! [V_m,T_a] : % 194.29/194.18 ( class_Rings_Osemiring__1(T_a) % 194.29/194.18 => 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)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_neg__zminus__int,axiom, % 194.29/194.18 ! [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))))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zdiv__minus1__right,axiom, % 194.29/194.18 ! [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) ). % 194.29/194.18 % 194.29/194.18 fof(fact_of__nat__diff,axiom, % 194.29/194.18 ! [V_m,V_n,T_a] : % 194.29/194.18 ( class_Rings_Oring__1(T_a) % 194.29/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 194.29/194.18 => 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)) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_not__iszero__Numeral1,axiom, % 194.29/194.18 ! [T_a] : % 194.29/194.18 ( class_Int_Onumber__ring(T_a) % 194.29/194.18 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zero__less__int__conv,axiom, % 194.29/194.18 ! [V_n_2] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 194.29/194.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_nat__eq__iff,axiom, % 194.29/194.18 ! [V_m_2,V_w_2] : % 194.29/194.18 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 194.29/194.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 194.29/194.18 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 194.29/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 194.29/194.18 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_nat__eq__iff2,axiom, % 194.29/194.18 ! [V_w_2,V_m_2] : % 194.29/194.18 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 194.29/194.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 194.29/194.18 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 194.29/194.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 194.29/194.18 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_split__nat,axiom, % 194.29/194.18 ! [V_i_2,V_P_2] : % 194.29/194.18 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2))) % 194.29/194.18 <=> ( ! [B_n] : % 194.29/194.18 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 194.29/194.18 => hBOOL(hAPP(V_P_2,B_n)) ) % 194.29/194.18 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.18 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_zmult__zless__mono2__lemma,axiom, % 194.29/194.18 ! [V_k,V_j,V_i] : % 194.29/194.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 194.29/194.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 194.29/194.18 => 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))) ) ) ). % 194.29/194.18 % 194.29/194.18 fof(fact_numeral__1__eq__Suc__0,axiom, % 194.29/194.18 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)) ). % 194.29/194.18 % 194.29/194.18 fof(fact_numeral__3__eq__3,axiom, % 194.29/194.18 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)))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_not__zle__0__negative,axiom, % 194.29/194.18 ! [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))))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_negative__zless__0,axiom, % 194.29/194.18 ! [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))) ). % 194.29/194.18 % 194.29/194.18 fof(fact_power3__eq__cube,axiom, % 194.29/194.18 ! [V_a,T_a] : % 194.29/194.18 ( class_Groups_Omonoid__mult(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 194.29/194.19 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))))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc3__eq__add__3,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__eq__iff__number__of,axiom, % 194.29/194.19 ! [V_v_2,V_m_2] : % 194.29/194.19 ( 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) % 194.29/194.19 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 194.29/194.19 & 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_minus1__divide,axiom, % 194.29/194.19 ! [V_x,T_a] : % 194.29/194.19 ( ( class_Fields_Ofield__inverse__zero(T_a) % 194.29/194.19 & class_Int_Onumber__ring(T_a) ) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 194.29/194.19 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)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_div__eq__minus1,axiom, % 194.29/194.19 ! [V_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__nat__0__less__iff,axiom, % 194.29/194.19 ! [V_n_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__semidom(T_b) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__nat__number__of,axiom, % 194.29/194.19 ! [V_v] : % 194.29/194.19 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.29/194.19 => 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) ) % 194.29/194.19 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.29/194.19 => 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) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_le__special_I2_J,axiom, % 194.29/194.19 ! [V_y_2,T_b] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_b) % 194.29/194.19 & class_Rings_Olinordered__idom(T_b) ) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_le__special_I4_J,axiom, % 194.29/194.19 ! [V_x_2,T_b] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_b) % 194.29/194.19 & class_Rings_Olinordered__idom(T_b) ) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__special_I4_J,axiom, % 194.29/194.19 ! [V_x_2,T_b] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_b) % 194.29/194.19 & class_Rings_Olinordered__idom(T_b) ) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__special_I2_J,axiom, % 194.29/194.19 ! [V_y_2,T_b] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_b) % 194.29/194.19 & class_Rings_Olinordered__idom(T_b) ) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__special_I2_J,axiom, % 194.29/194.19 ! [V_w,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__special_I3_J,axiom, % 194.29/194.19 ! [V_v,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__less__iff,axiom, % 194.29/194.19 ! [V_m_2,V_w_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 194.29/194.19 <=> 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc__diff__eq__diff__pred,axiom, % 194.29/194.19 ! [V_m,V_n] : % 194.29/194.19 ( 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)) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zdiff__int__split,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,V_P_2] : % 194.29/194.19 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 194.29/194.19 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 194.29/194.19 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 194.29/194.19 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 194.29/194.19 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc__mod__eq__add3__mod,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mod__Suc__eq__mod__add3,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_div__Suc__eq__div__add3,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc__div__eq__add3__div,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__nat__number__of__eq,axiom, % 194.29/194.19 ! [V_v,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.29/194.19 => 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) ) % 194.29/194.19 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 194.29/194.19 => 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) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__special_I2_J,axiom, % 194.29/194.19 ! [V_v,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__special_I1_J,axiom, % 194.29/194.19 ! [V_w,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zmod__number__of__Bit1,axiom, % 194.29/194.19 ! [V_v,V_w] : % 194.29/194.19 ( ( 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))) % 194.29/194.19 => 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)) ) % 194.29/194.19 & ( ~ 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))) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_neg__zmod__mult__2,axiom, % 194.29/194.19 ! [V_b,V_a] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pos__zdiv__mult__2,axiom, % 194.29/194.19 ! [V_b,V_a] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_neg__zdiv__mult__2,axiom, % 194.29/194.19 ! [V_b,V_a] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pos__zmod__mult__2,axiom, % 194.29/194.19 ! [V_b,V_a] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__int__eq,axiom, % 194.29/194.19 ! [V_n_2,V_m_2] : % 194.29/194.19 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) % 194.29/194.19 <=> V_m_2 = V_n_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 194.29/194.19 ! [V_y_2,V_x_2] : % 194.29/194.19 ( 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) % 194.29/194.19 <=> V_x_2 = V_y_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I31_J,axiom, % 194.29/194.19 ! [V_l_2,V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__eq__int__code_I13_J,axiom, % 194.29/194.19 ! [V_k2_2,V_k1_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I14_J,axiom, % 194.29/194.19 ! [V_l_2,V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__int__code_I13_J,axiom, % 194.29/194.19 ! [V_k2_2,V_k1_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I48_J,axiom, % 194.29/194.19 ! [V_l_2,V_k_2] : % 194.29/194.19 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 194.29/194.19 <=> V_k_2 = V_l_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Bit0__Pls,axiom, % 194.29/194.19 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I38_J,axiom, % 194.29/194.19 ! [V_l_2] : % 194.29/194.19 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 194.29/194.19 <=> c_Int_OPls = V_l_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I44_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 194.29/194.19 <=> V_k_2 = c_Int_OPls ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I49_J,axiom, % 194.29/194.19 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I50_J,axiom, % 194.29/194.19 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Bit0__def,axiom, % 194.29/194.19 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__Bit0__Bit0,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mult__Bit0,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__bin__simps_I7_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_minus__Bit0,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I42_J,axiom, % 194.29/194.19 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I45_J,axiom, % 194.29/194.19 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 194.29/194.19 % 194.29/194.19 fof(fact_bin__less__0__simps_I3_J,axiom, % 194.29/194.19 ! [V_w_2] : % 194.29/194.19 ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I21_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I27_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I32_J,axiom, % 194.29/194.19 ! [V_l_2,V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__eq__int__code_I14_J,axiom, % 194.29/194.19 ! [V_k2_2,V_k1_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I4_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I10_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I16_J,axiom, % 194.29/194.19 ! [V_l_2,V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__int__code_I15_J,axiom, % 194.29/194.19 ! [V_k2_2,V_k1_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__Bit1__Bit0,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__Bit0__Bit1,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__bin__simps_I3_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__bin__simps_I9_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__bin__simps_I10_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I28_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I8_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zdiv__number__of__Bit0,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_neg__number__of__Bit0,axiom, % 194.29/194.19 ! [V_w_2] : % 194.29/194.19 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 194.29/194.19 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pred__Bit0,axiom, % 194.29/194.19 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pred__Bit1,axiom, % 194.29/194.19 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pred__Min,axiom, % 194.29/194.19 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 194.29/194.19 % 194.29/194.19 fof(fact_iszero__number__of__Bit0,axiom, % 194.29/194.19 ! [V_w_2,T_b] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_b) % 194.29/194.19 & class_Int_Oring__char__0(T_b) ) % 194.29/194.19 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 194.29/194.19 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_succ__Bit1,axiom, % 194.29/194.19 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_succ__Bit0,axiom, % 194.29/194.19 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 194.29/194.19 % 194.29/194.19 fof(fact_number__of__Bit0,axiom, % 194.29/194.19 ! [V_w,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I15_J,axiom, % 194.29/194.19 ! [V_l_2,V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__int__code_I14_J,axiom, % 194.29/194.19 ! [V_k2_2,V_k1_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I33_J,axiom, % 194.29/194.19 ! [V_l_2,V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__eq__int__code_I15_J,axiom, % 194.29/194.19 ! [V_k2_2,V_k1_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_card__UNIV__bool,axiom, % 194.29/194.19 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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mult__Bit1,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I25_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_rel__simps_I11_J,axiom, % 194.29/194.19 ! [V_k_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__bin__simps_I5_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__bin__simps_I6_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__bin__simps_I8_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__Bit1__Bit1,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_double__number__of__Bit0,axiom, % 194.29/194.19 ! [V_w,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_number__of1,axiom, % 194.29/194.19 ! [V_n] : % 194.29/194.19 ( 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))) % 194.29/194.19 => ( 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)))) % 194.29/194.19 & 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)))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 194.29/194.19 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)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mult__2__right,axiom, % 194.29/194.19 ! [V_z,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mult__2,axiom, % 194.29/194.19 ! [V_z,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_one__add__one__is__two,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__eq__power2,axiom, % 194.29/194.19 ! [V_a_2,T_b] : % 194.29/194.19 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 194.29/194.19 => ( 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) % 194.29/194.19 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__power2,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Rings_Osemiring__1(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_numeral__2__eq__2,axiom, % 194.29/194.19 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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_semiring__norm_I115_J,axiom, % 194.29/194.19 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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 194.29/194.19 ! [V_x,T_a] : % 194.29/194.19 ( class_Rings_Ocomm__semiring__1(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__eq__square,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Omonoid__mult(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 194.29/194.19 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))))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__2__eq__Suc_H,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__2__eq__Suc,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_one__power2,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Rings_Osemiring__1(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__minus,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__mult__2__right,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__mult__2,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__even__eq,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Groups_Omonoid__mult(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 194.29/194.19 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)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__1__add__1,axiom, % 194.29/194.19 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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mod2__Suc__Suc,axiom, % 194.29/194.19 ! [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)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_div2__Suc__Suc,axiom, % 194.29/194.19 ! [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))))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zmod__number__of__Bit0,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_add__self__div__2,axiom, % 194.29/194.19 ! [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 ). % 194.29/194.19 % 194.29/194.19 fof(fact_half__gt__zero__iff,axiom, % 194.29/194.19 ! [V_r_2,T_b] : % 194.29/194.19 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 194.29/194.19 & class_Int_Onumber__ring(T_b) ) % 194.29/194.19 => ( 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)))))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_half__gt__zero,axiom, % 194.29/194.19 ! [V_r,T_a] : % 194.29/194.19 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 194.29/194.19 & class_Int_Onumber__ring(T_a) ) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 194.29/194.19 => 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)))))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__le__power2,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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)))))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__le__imp__le,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__semidom(T_a) % 194.29/194.19 => ( 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)))))) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__eq__imp__eq,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__semidom(T_a) % 194.29/194.19 => ( 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)))) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.29/194.19 => V_x = V_y ) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__less__0,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => ~ 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__less__power2,axiom, % 194.29/194.19 ! [V_a_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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)))))) % 194.29/194.19 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_sum__power2__eq__zero__iff,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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) % 194.29/194.19 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.29/194.19 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__eq__square__number__of,axiom, % 194.29/194.19 ! [V_w,T_b] : % 194.29/194.19 ( ( class_Groups_Omonoid__mult(T_b) % 194.29/194.19 & class_Int_Onumber(T_b) ) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_less__2__cases,axiom, % 194.29/194.19 ! [V_n] : % 194.29/194.19 ( 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))))) % 194.29/194.19 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.19 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__2,axiom, % 194.29/194.19 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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__eq__1__iff,axiom, % 194.29/194.19 ! [V_a_2,T_b] : % 194.29/194.19 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 194.29/194.19 => ( 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) % 194.29/194.19 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 194.29/194.19 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 194.29/194.19 ! [V_n,V_x,T_a] : % 194.29/194.19 ( class_Rings_Ocomm__semiring__1(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__minus__even,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__less__imp__less,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__semidom(T_a) % 194.29/194.19 => ( 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)))))) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_sum__power2__le__zero__iff,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 194.29/194.19 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_sum__power2__ge__zero,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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))))))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_sum__power2__gt__zero__iff,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))))))) % 194.29/194.19 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 194.29/194.19 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_not__sum__power2__lt__zero,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => ~ 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__sum,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__le__even__power_H,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 194.29/194.19 ! [V_n,V_x,T_a] : % 194.29/194.19 ( class_Rings_Ocomm__semiring__1(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__odd__eq,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Groups_Omonoid__mult(T_a) % 194.29/194.19 => 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))))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__minus1__even,axiom, % 194.29/194.19 ! [V_n,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zdiv__number__of__Bit1,axiom, % 194.29/194.19 ! [V_v,V_w] : % 194.29/194.19 ( ( 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))) % 194.29/194.19 => 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)) ) % 194.29/194.19 & ( ~ 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))) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mod2__gr__0,axiom, % 194.29/194.19 ! [V_m_2] : % 194.29/194.19 ( 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)))))) % 194.29/194.19 <=> 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_div__2__gt__zero,axiom, % 194.29/194.19 ! [V_n] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 194.29/194.19 => 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)))))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__diff,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_odd__0__le__power__imp__0__le,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => ( 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))))) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_odd__power__less__zero,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.29/194.19 => 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__minus1__odd,axiom, % 194.29/194.19 ! [V_n,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__m1__even,axiom, % 194.29/194.19 ! [V_n,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__m1__odd,axiom, % 194.29/194.19 ! [V_n,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc__n__div__2__gt__zero,axiom, % 194.29/194.19 ! [V_n] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.29/194.19 => 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)))))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__nat__double,axiom, % 194.29/194.19 ! [V_x,T_a] : % 194.29/194.19 ( class_Rings_Osemiring__1(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 194.29/194.19 => 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__of__code,axiom, % 194.29/194.19 ! [V_k] : % 194.29/194.19 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.29/194.19 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 194.29/194.19 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.29/194.19 => ( ( 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) % 194.29/194.19 => 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)))))) ) % 194.29/194.19 & ( 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) % 194.29/194.19 => 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)) ) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__bounded,axiom, % 194.29/194.19 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 194.29/194.19 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 194.29/194.19 & class_Rings_Osemiring__1(T_c) ) % 194.29/194.19 => ( ! [B_i] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 194.29/194.19 => 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_one__code__numeral__code,axiom, % 194.29/194.19 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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__of__nat,axiom, % 194.29/194.19 ! [V_k,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.19 => 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)))) ) % 194.29/194.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.19 => 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)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_negD,axiom, % 194.29/194.19 ! [V_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.19 => ? [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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__eq__iff,axiom, % 194.29/194.19 ! [V_z_2,V_w_2,T_b] : % 194.29/194.19 ( class_Int_Oring__char__0(T_b) % 194.29/194.19 => ( 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) % 194.29/194.19 <=> V_w_2 = V_z_2 ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral__zero__minus__one,axiom, % 194.29/194.19 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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_number__of__eq,axiom, % 194.29/194.19 ! [V_k,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__number__of__def,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__int__eq,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__eq__0__iff,axiom, % 194.29/194.19 ! [V_z_2,T_b] : % 194.29/194.19 ( class_Int_Oring__char__0(T_b) % 194.29/194.19 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.29/194.19 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__0__eq__iff,axiom, % 194.29/194.19 ! [V_z_2,T_b] : % 194.29/194.19 ( class_Int_Oring__char__0(T_b) % 194.29/194.19 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 194.29/194.19 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__0,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__le__iff,axiom, % 194.29/194.19 ! [V_z_2,V_w_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__less__iff,axiom, % 194.29/194.19 ! [V_z_2,V_w_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__add,axiom, % 194.29/194.19 ! [V_z,V_w,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__number__of__eq,axiom, % 194.29/194.19 ! [V_v,T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__mult,axiom, % 194.29/194.19 ! [V_z,V_w,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__1,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__diff,axiom, % 194.29/194.19 ! [V_z,V_w,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__of__nat__eq,axiom, % 194.29/194.19 ! [V_n,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__minus,axiom, % 194.29/194.19 ! [V_z,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Ints__of__int,axiom, % 194.29/194.19 ! [V_z_2,T_b] : % 194.29/194.19 ( class_Rings_Oring__1(T_b) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__power,axiom, % 194.29/194.19 ! [V_n,V_z,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__code__numeral__code,axiom, % 194.29/194.19 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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__m1,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Int_Onumber__ring(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__le__0__iff,axiom, % 194.29/194.19 ! [V_z_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__0__le__iff,axiom, % 194.29/194.19 ! [V_z_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__less__0__iff,axiom, % 194.29/194.19 ! [V_z_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__int__0__less__iff,axiom, % 194.29/194.19 ! [V_z_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_of__nat__nat,axiom, % 194.29/194.19 ! [V_z,T_a] : % 194.29/194.19 ( class_Rings_Oring__1(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 194.29/194.19 => 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) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__of__aux__code,axiom, % 194.29/194.19 ! [V_n,V_i] : % 194.29/194.19 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.29/194.19 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 194.29/194.19 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osize_I1_J,axiom, % 194.29/194.19 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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osize_I3_J,axiom, % 194.29/194.19 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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__less__imp__eq__int,axiom, % 194.29/194.19 ! [V_k] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 194.29/194.19 => ? [B_n] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 194.29/194.19 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_incr__lemma,axiom, % 194.29/194.19 ! [V_x,V_z,V_d] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__zero,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__eq__0,axiom, % 194.29/194.19 ! [V_a_2,T_b] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.29/194.19 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 194.29/194.19 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__one,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power__abs,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__divide,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__add__abs,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__mult__self,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__mult,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__minus__commute,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__idempotent,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__ge__self,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__le__D1,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__minus__cancel,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__of__nat,axiom, % 194.29/194.19 ! [V_n,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__int__eq,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__of__nonneg,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__le__zero__iff,axiom, % 194.29/194.19 ! [V_a_2,T_b] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__ge__zero,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__not__less__zero,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ~ 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__less__abs__iff,axiom, % 194.29/194.19 ! [V_a_2,T_b] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.29/194.19 => ( 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))) % 194.29/194.19 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__of__pos,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__triangle__ineq,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__mult__less,axiom, % 194.29/194.19 ! [V_d,V_b,V_c,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 194.29/194.19 => 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))) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__triangle__ineq3,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__triangle__ineq2,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__triangle__ineq2__sym,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__ge__minus__self,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__le__iff,axiom, % 194.29/194.19 ! [V_b_2,V_a_2,T_b] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.29/194.19 => ( 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)) % 194.29/194.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 194.29/194.19 & 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)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__leI,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__le__D2,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__less__iff,axiom, % 194.29/194.19 ! [V_b_2,V_a_2,T_b] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_b) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 194.29/194.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 194.29/194.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nonzero__abs__divide,axiom, % 194.29/194.19 ! [V_a,V_b,T_a] : % 194.29/194.19 ( class_Fields_Olinordered__field(T_a) % 194.29/194.19 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__power__minus,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__zmult__eq__1,axiom, % 194.29/194.19 ! [V_n,V_m] : % 194.29/194.19 ( 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) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__sgn,axiom, % 194.29/194.19 ! [V_k,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mult__sgn__abs,axiom, % 194.29/194.19 ! [V_x,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__mult__pos,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__eq__mult,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Rings_Oordered__ring__abs(T_a) % 194.29/194.19 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 194.29/194.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 194.29/194.19 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 194.29/194.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__triangle__ineq4,axiom, % 194.29/194.19 ! [V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__diff__triangle__ineq,axiom, % 194.29/194.19 ! [V_d,V_c,V_b,V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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))))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__minus__le__zero,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__of__nonpos,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__of__neg,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__if,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Groups_Oabs__if(T_a) % 194.29/194.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 194.29/194.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__le__power__abs,axiom, % 194.29/194.19 ! [V_n,V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__div__pos,axiom, % 194.29/194.19 ! [V_x,V_y,T_a] : % 194.29/194.19 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__minus__one,axiom, % 194.29/194.19 ! [T_a] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_a) % 194.29/194.19 & class_Rings_Olinordered__idom(T_a) ) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zabs__less__one__iff,axiom, % 194.29/194.19 ! [V_z_2] : % 194.29/194.19 ( 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))) % 194.29/194.19 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zabs__def,axiom, % 194.29/194.19 ! [V_i] : % 194.29/194.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 194.29/194.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.19 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__abs__mult__distrib,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__le__zpower__abs,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__number__of,axiom, % 194.29/194.19 ! [V_x,T_a] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_a) % 194.29/194.19 & class_Rings_Olinordered__idom(T_a) ) % 194.29/194.19 => ( ( 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))) % 194.29/194.19 => 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)) ) % 194.29/194.19 & ( ~ 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))) % 194.29/194.19 => 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) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__power__minus__one,axiom, % 194.29/194.19 ! [V_n,T_a] : % 194.29/194.19 ( ( class_Int_Onumber__ring(T_a) % 194.29/194.19 & class_Rings_Olinordered__idom(T_a) ) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_zero__less__zpower__abs__iff,axiom, % 194.29/194.19 ! [V_n_2,V_x_2] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_n_2))) % 194.29/194.19 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.19 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__power2,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_power2__abs,axiom, % 194.29/194.19 ! [V_a,T_a] : % 194.29/194.19 ( class_Rings_Olinordered__idom(T_a) % 194.29/194.19 => 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)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_decr__lemma,axiom, % 194.29/194.19 ! [V_z,V_x,V_d] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osize_I4_J,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osize_I2_J,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nitpick_Oint__lcm__def,axiom, % 194.29/194.19 ! [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)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__val__lemma,axiom, % 194.29/194.19 ! [V_k_2,V_f_2,V_n_2] : % 194.29/194.19 ( ! [B_i] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 194.29/194.19 => 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))) ) % 194.29/194.19 => ( 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)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 194.29/194.19 => ? [B_i] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 194.29/194.19 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Oinject,axiom, % 194.29/194.19 ! [V_code__numeral_H_2,V_code__numeral_2] : % 194.29/194.19 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 194.29/194.19 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osimps_I2_J,axiom, % 194.29/194.19 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osimps_I3_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Suc__code__numeral__minus__one,axiom, % 194.29/194.19 ! [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 ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nitpick_Onat__lcm__def,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osimps_I5_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat0__intermed__int__val,axiom, % 194.29/194.19 ! [V_k_2,V_f_2,V_n_2] : % 194.29/194.19 ( ! [B_i] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 194.29/194.19 => 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))) ) % 194.29/194.19 => ( 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)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 194.29/194.19 => ? [B_i] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 194.29/194.19 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 194.29/194.19 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 194.29/194.19 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 194.29/194.19 ! [V_y,V_x] : % 194.29/194.19 ( c_Nat__Transfer_Ois__nat(V_x) % 194.29/194.19 => ( c_Nat__Transfer_Ois__nat(V_y) % 194.29/194.19 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 194.29/194.19 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 194.29/194.19 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 194.29/194.19 ! [V_y,V_x] : % 194.29/194.19 ( c_Nat__Transfer_Ois__nat(V_x) % 194.29/194.19 => ( c_Nat__Transfer_Ois__nat(V_y) % 194.29/194.19 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 194.29/194.19 ! [V_y,V_x] : % 194.29/194.19 ( c_Nat__Transfer_Ois__nat(V_x) % 194.29/194.19 => ( c_Nat__Transfer_Ois__nat(V_y) % 194.29/194.19 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 194.29/194.19 ! [V_y,V_x] : % 194.29/194.19 ( c_Nat__Transfer_Ois__nat(V_x) % 194.29/194.19 => ( c_Nat__Transfer_Ois__nat(V_y) % 194.29/194.19 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 194.29/194.19 ! [V_n,V_x] : % 194.29/194.19 ( c_Nat__Transfer_Ois__nat(V_x) % 194.29/194.19 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 194.29/194.19 ! [V_y,V_x] : % 194.29/194.19 ( c_Nat__Transfer_Ois__nat(V_x) % 194.29/194.19 => ( c_Nat__Transfer_Ois__nat(V_y) % 194.29/194.19 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_is__nat__def,axiom, % 194.29/194.19 ! [V_x_2] : % 194.29/194.19 ( c_Nat__Transfer_Ois__nat(V_x_2) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 194.29/194.19 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__gcd_Osimps,axiom, % 194.29/194.19 ! [V_x,V_y] : % 194.29/194.19 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.19 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 194.29/194.19 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_code__numeral_Osimps_I4_J,axiom, % 194.29/194.19 ! [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 ). % 194.29/194.19 % 194.29/194.19 fof(fact_Nitpick_Oint__gcd__def,axiom, % 194.29/194.19 ! [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)))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__mod__eq__lemma,axiom, % 194.29/194.19 ! [V_y,V_n,V_x] : % 194.29/194.19 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 194.29/194.19 => ? [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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 194.29/194.19 ! [V_c_2,V_b_2,V_A_2,T_b] : % 194.29/194.19 ( class_Orderings_Olinorder(T_b) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.19 => ( ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_mod__induct__0,axiom, % 194.29/194.19 ! [V_i_2,V_P_2,V_p_2] : % 194.29/194.19 ( ! [B_i] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 194.29/194.19 => ( hBOOL(hAPP(V_P_2,B_i)) % 194.29/194.19 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 194.29/194.19 => ( hBOOL(hAPP(V_P_2,V_i_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 194.29/194.19 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_inf__le__fold__inf,axiom, % 194.29/194.19 ! [V_c_2,V_b_2,V_A_2,T_b] : % 194.29/194.19 ( class_Lattices_Osemilattice__inf(T_b) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.19 => ( ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_fold__sup__le__sup,axiom, % 194.29/194.19 ! [V_c_2,V_b_2,V_A_2,T_b] : % 194.29/194.19 ( class_Lattices_Osemilattice__sup(T_b) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.19 => ( ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat__intermed__int__val,axiom, % 194.29/194.19 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 194.29/194.19 ( ! [B_i] : % 194.29/194.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 194.29/194.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 194.29/194.19 => 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))) ) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 194.29/194.19 => ? [B_i] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 194.29/194.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 194.29/194.19 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_log_Osimps,axiom, % 194.29/194.19 ! [V_i,V_b] : % 194.29/194.19 ( ( ( 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))) % 194.29/194.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 194.29/194.19 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 194.29/194.19 & ( ~ ( 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))) % 194.29/194.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 194.29/194.19 => 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_minus__shift__def,axiom, % 194.29/194.19 ! [V_r,V_l,V_k] : % 194.29/194.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 194.29/194.19 => 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) ) % 194.29/194.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 194.29/194.19 => 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) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_inc__shift__def,axiom, % 194.29/194.19 ! [V_k,V_v] : % 194.29/194.19 ( ( V_v = V_k % 194.29/194.19 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 194.29/194.19 & ( V_v != V_k % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 194.29/194.19 => 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)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 194.29/194.19 => 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) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_folding__image__simple__idem_Oidem,axiom, % 194.29/194.19 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 194.29/194.19 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 194.29/194.19 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 194.29/194.19 => 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) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 194.29/194.19 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setprod__pos,axiom, % 194.29/194.19 ! [V_f_2,V_A_2,T_b,T_c] : % 194.29/194.19 ( class_Rings_Olinordered__semidom(T_c) % 194.29/194.19 => ( ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 194.29/194.19 => 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setprod__nonneg,axiom, % 194.29/194.19 ! [V_f_2,V_A_2,T_b,T_c] : % 194.29/194.19 ( class_Rings_Olinordered__semidom(T_c) % 194.29/194.19 => ( ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_finite__induct,axiom, % 194.29/194.19 ! [V_P_2,V_F_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 194.29/194.19 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 194.29/194.19 => ( ! [B_x,B_F] : % 194.29/194.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 194.29/194.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 194.29/194.19 => ( hBOOL(hAPP(V_P_2,B_F)) % 194.29/194.19 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 194.29/194.19 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_field__le__epsilon,axiom, % 194.29/194.19 ! [V_y,V_x,T_a] : % 194.29/194.19 ( class_Fields_Olinordered__field(T_a) % 194.29/194.19 => ( ! [B_e] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) ) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osize_I14_J,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osize_I6_J,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_subtract__code__numeral__def,axiom, % 194.29/194.19 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 194.29/194.19 % 194.29/194.19 fof(fact_minus__code__numeral__code,axiom, % 194.29/194.19 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ). % 194.29/194.19 % 194.29/194.19 fof(fact_evaln_OWhileFalse,axiom, % 194.29/194.19 ! [V_n_2,V_c_2,V_s_2,V_b_2] : % 194.29/194.19 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 194.29/194.19 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_evaln_OWhileTrue,axiom, % 194.29/194.19 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] : % 194.29/194.19 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 194.29/194.19 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2) % 194.29/194.19 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2) % 194.29/194.19 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I5_J,axiom, % 194.29/194.19 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 194.29/194.19 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 194.29/194.19 <=> ( V_fun_2 = V_fun_H_2 % 194.29/194.19 & V_com_2 = V_com_H_2 ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_evaln_Oequations_I7_J,axiom, % 194.29/194.19 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 194.29/194.19 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2) % 194.29/194.19 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 194.29/194.19 => ? [B_s1] : % 194.29/194.19 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 194.29/194.19 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_evaln_Oequations_I8_J,axiom, % 194.29/194.19 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 194.29/194.19 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2) % 194.29/194.19 <=> ( ( V_a6_2 = V_a2_2 % 194.29/194.19 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 194.29/194.19 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 194.29/194.19 & ? [B_s1] : % 194.29/194.19 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 194.29/194.19 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I52_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I53_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I46_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I47_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I38_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I39_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I16_J,axiom, % 194.29/194.19 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 194.29/194.19 % 194.29/194.19 fof(fact_com_Osimps_I17_J,axiom, % 194.29/194.19 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 194.29/194.19 % 194.29/194.19 fof(fact_pair__box_Osize_I1_J,axiom, % 194.29/194.19 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 194.29/194.19 ! [V_w] : % 194.29/194.19 ( 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))) % 194.29/194.19 => ( ( 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)))) % 194.29/194.19 => 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))) ) % 194.29/194.19 & ( ~ 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)))) % 194.29/194.19 => 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)))) ) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_nat_Osize_I2_J,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__nat__number__of,axiom, % 194.29/194.19 ! [V_v_2,V_v_H_2] : % 194.29/194.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 194.29/194.19 => 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) ) % 194.29/194.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__D,axiom, % 194.29/194.19 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 194.29/194.19 ( 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))) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__E,axiom, % 194.29/194.19 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 194.29/194.19 ( 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))) % 194.29/194.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 194.29/194.19 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF1__D,axiom, % 194.29/194.19 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF1__E,axiom, % 194.29/194.19 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 194.29/194.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF2__D,axiom, % 194.29/194.19 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF2__E,axiom, % 194.29/194.19 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 194.29/194.19 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 194.29/194.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUP2__I,axiom, % 194.29/194.19 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_finite__INT,axiom, % 194.29/194.19 ! [V_A_2,T_c,V_I_2,T_b] : % 194.29/194.19 ( ? [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 194.29/194.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUP1__I,axiom, % 194.29/194.19 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__I,axiom, % 194.29/194.19 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 194.29/194.19 => 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))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__abs,axiom, % 194.29/194.19 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__abs__ge__zero,axiom, % 194.29/194.19 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I4_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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 ) % 194.29/194.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__extend__simps_I1_J,axiom, % 194.29/194.19 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 194.29/194.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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))) ) % 194.29/194.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__singleton,axiom, % 194.29/194.19 ! [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 ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__simps_I1_J,axiom, % 194.29/194.19 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 194.29/194.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) % 194.29/194.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setprod_Odistrib,axiom, % 194.29/194.19 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 194.29/194.19 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__simps_I3_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) % 194.29/194.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I3_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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) ) % 194.29/194.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_diff__Suc,axiom, % 194.29/194.19 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__setsum__abs,axiom, % 194.29/194.19 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_abs__setprod,axiom, % 194.29/194.19 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Fields_Olinordered__field(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__insert__distrib,axiom, % 194.29/194.19 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUP__UN__eq,axiom, % 194.29/194.19 ! [V_x_2,V_r_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setprod__1,axiom, % 194.29/194.19 ! [V_A_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Ocomm__monoid__mult(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF__INT__eq,axiom, % 194.29/194.19 ! [V_x_2,V_r_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_b,T_c] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,T_b] : % 194.29/194.19 ( 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) % 194.29/194.19 <=> ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUP__UN__eq2,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF__INT__eq2,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__constant,axiom, % 194.29/194.19 ! [V_c_2,T_c,T_b,V_A_2] : % 194.29/194.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 194.29/194.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__empty,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__0,axiom, % 194.29/194.19 ! [V_A_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_fold__image__def,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 194.29/194.19 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 194.29/194.19 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_coinduct3__mono__lemma,axiom, % 194.29/194.19 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Orderings_Oorder(T_b) % 194.29/194.19 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2) % 194.29/194.19 => c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_f_2)),V_X_2))),V_B_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Compl__INT,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Compl__UN,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__simps_I8_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__extend__simps_I8_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Un__Inter,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_sup__Un__eq,axiom, % 194.29/194.19 ! [V_x_2,V_S_2,V_R_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__absorb,axiom, % 194.29/194.19 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_inf__Int__eq,axiom, % 194.29/194.19 ! [V_x_2,V_S_2,V_R_2,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__iff,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 194.29/194.19 ( 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))) % 194.29/194.19 <=> ? [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.19 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I2_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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 ) % 194.29/194.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I1_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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 ) % 194.29/194.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__product,axiom, % 194.29/194.19 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Rings_Osemiring__0(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__left__distrib,axiom, % 194.29/194.19 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Rings_Osemiring__0(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__right__distrib,axiom, % 194.29/194.19 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 194.29/194.19 ( class_Rings_Osemiring__0(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_sup__fun__def,axiom, % 194.29/194.19 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Lattices_Olattice(T_b) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__insert,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUP__const,axiom, % 194.29/194.19 ! [V_M_2,T_b,V_A_2,T_c] : % 194.29/194.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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 ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_inf__fun__def,axiom, % 194.29/194.19 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Lattices_Olattice(T_b) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UNION__empty__conv_I2_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_b,T_c] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.19 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__constant,axiom, % 194.29/194.19 ! [V_c_2,T_c,T_b,V_A_2] : % 194.29/194.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 194.29/194.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__empty2,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UNION__empty__conv_I1_J,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,T_b] : % 194.29/194.19 ( 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) % 194.29/194.19 <=> ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.19 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__Un,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__negf,axiom, % 194.29/194.19 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Oab__group__add(T_b) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setprod__timesf,axiom, % 194.29/194.19 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Ocomm__monoid__mult(T_b) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__commute,axiom, % 194.29/194.19 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 194.29/194.19 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_inf__Int__eq2,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__Int__distrib,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pair__box_Oinject,axiom, % 194.29/194.19 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.19 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2) % 194.29/194.19 <=> ( V_a_2 = V_a_H_2 % 194.29/194.19 & V_b_2 = V_b_H_2 ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF__commute,axiom, % 194.29/194.19 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 194.29/194.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INFI__apply,axiom, % 194.29/194.19 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 194.29/194.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__simps_I5_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I5_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pred__equals__eq2,axiom, % 194.29/194.19 ! [V_S_2,V_R_2,T_c,T_b] : % 194.29/194.19 ( 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) % 194.29/194.19 <=> V_R_2 = V_S_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__iff,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 194.29/194.19 ( 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))) % 194.29/194.19 <=> ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_pred__equals__eq,axiom, % 194.29/194.19 ! [V_S_2,V_R_2,T_b] : % 194.29/194.19 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2) % 194.29/194.19 <=> V_R_2 = V_S_2 ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Inter__def,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Pow__INT__eq,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__simps_I8_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I8_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_sup__Un__eq2,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Un__INT__distrib2,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I6_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Un__INT__distrib,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I7_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__simps_I6_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__simps_I7_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Union__def,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUP__commute,axiom, % 194.29/194.19 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 194.29/194.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.19 => 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))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__extend__simps_I9_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__simps_I9_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__UN__flatten,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUP1__iff,axiom, % 194.29/194.19 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> ? [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.19 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__simps_I9_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__extend__simps_I9_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_bot__empty__eq2,axiom, % 194.29/194.19 ! [V_y_2,V_x_2,T_c,T_b] : % 194.29/194.19 ( 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)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_bot__fun__def,axiom, % 194.29/194.19 ! [V_x_2,T_c,T_b] : % 194.29/194.19 ( class_Orderings_Obot(T_b) % 194.29/194.19 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INT__insert__distrib,axiom, % 194.29/194.19 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_bot__empty__eq,axiom, % 194.29/194.19 ! [V_x_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 194.29/194.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_setsum__divide__distrib,axiom, % 194.29/194.19 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.19 ( class_Fields_Ofield(T_b) % 194.29/194.19 => 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) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_SUPR__apply,axiom, % 194.29/194.19 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 194.29/194.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__simps_I5_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__simps_I4_J,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__extend__simps_I5_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Int__UN__distrib,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__extend__simps_I4_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Int__UN__distrib2,axiom, % 194.29/194.19 ! [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))) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__Un__distrib,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__Un,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_INF__const,axiom, % 194.29/194.19 ! [V_M_2,T_b,V_A_2,T_c] : % 194.29/194.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.19 => 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 ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Int__Union2,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Int__Union,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_fun__Compl__def,axiom, % 194.29/194.19 ! [V_x_2,V_A_2,T_c,T_b] : % 194.29/194.19 ( class_Groups_Ouminus(T_b) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 194.29/194.19 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 194.29/194.19 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 194.29/194.19 => 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)) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_Powp__def,axiom, % 194.29/194.19 ! [V_B_2,V_A_2,T_b] : % 194.29/194.19 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 194.29/194.19 <=> ! [B_x] : % 194.29/194.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 194.29/194.19 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__setsum,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_int__setprod,axiom, % 194.29/194.19 ! [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) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__simps_I7_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.19 % 194.29/194.19 fof(fact_UN__extend__simps_I7_J,axiom, % 194.29/194.19 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__extend__simps_I6_J,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__simps_I6_J,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fun__diff__def,axiom, % 194.29/194.20 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( class_Groups_Ominus(T_b) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__subtractf,axiom, % 194.29/194.20 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 194.29/194.20 ( class_Groups_Oab__group__add(T_b) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_of__int__setsum,axiom, % 194.29/194.20 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.20 ( class_Rings_Oring__1(T_b) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_of__int__setprod,axiom, % 194.29/194.20 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.20 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 194.29/194.20 & class_Rings_Oring__1(T_b) ) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INT__simps_I2_J,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INT__simps_I1_J,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__absorb,axiom, % 194.29/194.20 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__simps_I3_J,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__simps_I2_J,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__extend__simps_I3_J,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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 ) % 194.29/194.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__extend__simps_I2_J,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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 ) % 194.29/194.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_SUP__le__iff,axiom, % 194.29/194.20 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( 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)) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_le__INF__iff,axiom, % 194.29/194.20 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( 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))) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 194.29/194.20 ! [V_n_2,V_m_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 194.29/194.20 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pred__subset__eq2,axiom, % 194.29/194.20 ! [V_S_2,V_R_2,T_c,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INT__subset__iff,axiom, % 194.29/194.20 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INT__lower,axiom, % 194.29/194.20 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pred__subset__eq,axiom, % 194.29/194.20 ! [V_S_2,V_R_2,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__subset__iff,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 194.29/194.20 ( 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)) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INF__less__iff,axiom, % 194.29/194.20 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 & class_Orderings_Olinorder(T_b) ) % 194.29/194.20 => ( 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)) % 194.29/194.20 <=> ? [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__addf,axiom, % 194.29/194.20 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_less__SUP__iff,axiom, % 194.29/194.20 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 194.29/194.20 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 & class_Orderings_Olinorder(T_b) ) % 194.29/194.20 => ( 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))) % 194.29/194.20 <=> ? [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__upper,axiom, % 194.29/194.20 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum_Odistrib,axiom, % 194.29/194.20 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INF__leI,axiom, % 194.29/194.20 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_le__SUPI,axiom, % 194.29/194.20 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_less__eq__Suc__le__raw,axiom, % 194.29/194.20 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__insert,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__number__of__Bit0,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setprod__dividef,axiom, % 194.29/194.20 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Fields_Ofield__inverse__zero(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__Suc2,axiom, % 194.29/194.20 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_n_2)),V_m_2) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__Suc1,axiom, % 194.29/194.20 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),V_m_2) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat_Osize_I1_J,axiom, % 194.29/194.20 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.29/194.20 % 194.29/194.20 fof(fact_of__nat__setsum,axiom, % 194.29/194.20 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.20 ( class_Rings_Osemiring__1(T_b) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_card__eq__setsum,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__Pow__subset,axiom, % 194.29/194.20 ! [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)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_of__nat__setprod,axiom, % 194.29/194.20 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.20 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 194.29/194.20 & class_Rings_Osemiring__1(T_b) ) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__delta_H,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__delta,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setprod__delta,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setprod__delta_H,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => 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) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INT__simps_I4_J,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 194.29/194.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__constant,axiom, % 194.29/194.20 ! [V_A_2,V_y_2,T_c,T_b] : % 194.29/194.20 ( class_Rings_Osemiring__1(T_b) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_power__number__of__even,axiom, % 194.29/194.20 ! [V_w_2,V_z_2,T_b] : % 194.29/194.20 ( class_Int_Onumber__ring(T_b) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fold__image__distrib,axiom, % 194.29/194.20 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setprod__constant,axiom, % 194.29/194.20 ! [V_y_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sup__SUPR__fold__sup,axiom, % 194.29/194.20 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_inf__INFI__fold__inf,axiom, % 194.29/194.20 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_zpower__number__of__even,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Powp__Pow__eq,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__restrict__set,axiom, % 194.29/194.20 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_power__number__of__even__number__of,axiom, % 194.29/194.20 ! [V_w_2,V_v_2,T_b] : % 194.29/194.20 ( class_Int_Onumber__ring(T_b) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_SUPR__fold__sup,axiom, % 194.29/194.20 ! [V_f_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_card__def,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_card_Oeq__fold__g,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fun__left__comm__idem__remove,axiom, % 194.29/194.20 ! [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))))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INFI__fold__inf,axiom, % 194.29/194.20 ! [V_f_2,V_A_2,T_b,T_c] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_diff__nat__eq__if,axiom, % 194.29/194.20 ! [V_z_2,V_z_H_2] : % 194.29/194.20 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg__div__mod,axiom, % 194.29/194.20 ! [V_l,V_k] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg__minus1,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 194.29/194.20 ! [V_n_2,T_b] : % 194.29/194.20 ( class_Rings_Osemiring__1(T_b) % 194.29/194.20 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_LoopF,axiom, % 194.29/194.20 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_P_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_adjust__eq,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_minus__fold__remove,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Suc__eq__number__of,axiom, % 194.29/194.20 ! [V_v_2,V_n_2] : % 194.29/194.20 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_eq__number__of__Suc,axiom, % 194.29/194.20 ! [V_n_2,V_v_2] : % 194.29/194.20 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__case__number__of,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__number__of__Bit1,axiom, % 194.29/194.20 ! [V_w_2] : % 194.29/194.20 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 194.29/194.20 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 194.29/194.20 => 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)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_less__number__of__Suc,axiom, % 194.29/194.20 ! [V_n_2,V_v_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_less__Suc__number__of,axiom, % 194.29/194.20 ! [V_v_2,V_n_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_le__number__of__Suc,axiom, % 194.29/194.20 ! [V_n_2,V_v_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_le__Suc__number__of,axiom, % 194.29/194.20 ! [V_v_2,V_n_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__case__add__eq__if,axiom, % 194.29/194.20 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_power__number__of__odd,axiom, % 194.29/194.20 ! [V_z_2,V_w_2,T_b] : % 194.29/194.20 ( class_Int_Onumber__ring(T_b) % 194.29/194.20 => ( ( 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))) % 194.29/194.20 => 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))) ) % 194.29/194.20 & ( ~ 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))) % 194.29/194.20 => 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) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setprod__gen__delta,axiom, % 194.29/194.20 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 194.29/194.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_zpower__number__of__odd,axiom, % 194.29/194.20 ! [V_z_2,V_w_2] : % 194.29/194.20 ( ( 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))) % 194.29/194.20 => 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))) ) % 194.29/194.20 & ( ~ 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))) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg_Osimps,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( ( ( 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))) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ ( 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))) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__Suc__number__of,axiom, % 194.29/194.20 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__number__of__Suc,axiom, % 194.29/194.20 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_power__number__of__odd__number__of,axiom, % 194.29/194.20 ! [V_v_2,V_w_2,T_b] : % 194.29/194.20 ( class_Int_Onumber__ring(T_b) % 194.29/194.20 => ( ( 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))) % 194.29/194.20 => 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))) ) % 194.29/194.20 & ( ~ 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))) % 194.29/194.20 => 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) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg__eqn__number__of,axiom, % 194.29/194.20 ! [V_w,V_v] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( 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)))) % 194.29/194.20 => 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))) ) % 194.29/194.20 & ( ~ 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)))) % 194.29/194.20 => 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)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg__eqn,axiom, % 194.29/194.20 ! [V_a,V_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => ( ( 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))) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ 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))) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_norm__frac_Osimps,axiom, % 194.29/194.20 ! [V_a_2,V_b_2] : % 194.29/194.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 194.29/194.20 => 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))) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 194.29/194.20 ! [V_w] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( 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))) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ 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))) % 194.29/194.20 => 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)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg_Osimps,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_adjust__def,axiom, % 194.29/194.20 ! [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))))))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sup2CI,axiom, % 194.29/194.20 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 194.29/194.20 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sup2E,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( 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)) % 194.29/194.20 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_inf2E,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( 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)) % 194.29/194.20 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 194.29/194.20 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_inf2I,axiom, % 194.29/194.20 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_bot2E,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INF2__iff,axiom, % 194.29/194.20 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_INF1__iff,axiom, % 194.29/194.20 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( 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)) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_SUP2__iff,axiom, % 194.29/194.20 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 194.29/194.20 <=> ? [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_less__by__empty,axiom, % 194.29/194.20 ! [V_B_2,T_b,V_A_2] : % 194.29/194.20 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_rev__predicate2D,axiom, % 194.29/194.20 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_predicate2D,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sup2I2,axiom, % 194.29/194.20 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sup2I1,axiom, % 194.29/194.20 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_inf2D2,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( 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)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_inf2D1,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 194.29/194.20 ( 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)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg__0,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg__div__mod,axiom, % 194.29/194.20 ! [V_l,V_k] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg__eqn,axiom, % 194.29/194.20 ! [V_a,V_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg__eqn__number__of,axiom, % 194.29/194.20 ! [V_w,V_v] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( 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))) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ 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))) % 194.29/194.20 => 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)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_of__int__num,axiom, % 194.29/194.20 ! [V_k_2,T_b] : % 194.29/194.20 ( class_Rings_Oring__1(T_b) % 194.29/194.20 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 194.29/194.20 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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))) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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))))) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_in__rel__def,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 194.29/194.20 <=> 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__mod__code__numeral__def,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Nitpick_Orefl_H__def,axiom, % 194.29/194.20 ! [V_r_2,T_b] : % 194.29/194.20 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 194.29/194.20 <=> ! [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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__mod__div,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Nitpick_OFrac__def,axiom, % 194.29/194.20 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)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__def,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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))) ) ) ) ) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => 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))) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__step,axiom, % 194.29/194.20 ! [V_m,V_n] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__pdivmod,axiom, % 194.29/194.20 ! [V_l_2,V_k_2] : % 194.29/194.20 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)))) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negateSnd__def,axiom, % 194.29/194.20 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__zero,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__base,axiom, % 194.29/194.20 ! [V_n,V_m] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negateSnd__eq,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__div__mod,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pdivmod__def,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pdivmod__posDivAlg,axiom, % 194.29/194.20 ! [V_k,V_l] : % 194.29/194.20 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__code,axiom, % 194.29/194.20 ! [V_l_2,V_k_2] : % 194.29/194.20 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)))) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_prod__caseI,axiom, % 194.29/194.20 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_splitI,axiom, % 194.29/194.20 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__rec__add__eq__if,axiom, % 194.29/194.20 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 194.29/194.20 ! [V_a,V_r,V_q,V_c,V_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 194.29/194.20 => 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)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__rel__unique,axiom, % 194.29/194.20 ! [V_qr_H,V_qr,V_n,V_m] : % 194.29/194.20 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 194.29/194.20 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 194.29/194.20 => V_qr = V_qr_H ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__rec__0,axiom, % 194.29/194.20 ! [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 ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__rec__Suc,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 194.29/194.20 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__eq,axiom, % 194.29/194.20 ! [V_qr,V_n,V_m] : % 194.29/194.20 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 194.29/194.20 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Pair__inject,axiom, % 194.29/194.20 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 194.29/194.20 ( 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) % 194.29/194.20 => ~ ( V_a = V_a_H % 194.29/194.20 => V_b != V_b_H ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Pair__eq,axiom, % 194.29/194.20 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.20 ( 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) % 194.29/194.20 <=> ( V_a_2 = V_a_H_2 % 194.29/194.20 & V_b_2 = V_b_H_2 ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__paired__All,axiom, % 194.29/194.20 ! [T_c,T_b,V_P_2] : % 194.29/194.20 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.29/194.20 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__eq,axiom, % 194.29/194.20 ! [V_r,V_q,V_n,V_m] : % 194.29/194.20 ( 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))) % 194.29/194.20 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__eq,axiom, % 194.29/194.20 ! [V_r,V_q,V_n,V_m] : % 194.29/194.20 ( 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))) % 194.29/194.20 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__weak__cong,axiom, % 194.29/194.20 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 194.29/194.20 ( V_p_2 = V_q_2 % 194.29/194.20 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__rel,axiom, % 194.29/194.20 ! [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)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__conv,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_prod_Osimps_I2_J,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_splitD,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_apsnd__conv,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__eta,axiom, % 194.29/194.20 ! [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 ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__rel__add1__eq,axiom, % 194.29/194.20 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( 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))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 194.29/194.20 => 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)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__twice,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__rec__number__of,axiom, % 194.29/194.20 ! [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)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 194.29/194.20 ! [V_c,V_r,V_q,V_b,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 194.29/194.20 => 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)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pair__box_Osize_I2_J,axiom, % 194.29/194.20 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pair__box_Orecs,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pair__box_Osimps_I2_J,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg_Opsimps,axiom, % 194.29/194.20 ! [V_b_2,V_a_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( ( 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))) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ ( 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))) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mem__splitI,axiom, % 194.29/194.20 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_splitD_H,axiom, % 194.29/194.20 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_accp__downward,axiom, % 194.29/194.20 ! [V_a_2,V_b_2,V_r_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 194.29/194.20 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_accp_Oequations,axiom, % 194.29/194.20 ! [V_a_2,V_r_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 194.29/194.20 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_accp_Osimps,axiom, % 194.29/194.20 ! [V_a_2,V_r_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 194.29/194.20 <=> ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 194.29/194.20 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_accp__subset,axiom, % 194.29/194.20 ! [V_R2_2,V_R1_2,T_b] : % 194.29/194.20 ( 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)) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__if,axiom, % 194.29/194.20 ! [V_m_2,V_n_2] : % 194.29/194.20 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 194.29/194.20 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) ) % 194.29/194.20 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 194.29/194.20 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2),V_n_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg_Opsimps,axiom, % 194.29/194.20 ! [V_b_2,V_a_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_norm__frac_Opsimps,axiom, % 194.29/194.20 ! [V_b_2,V_a_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 194.29/194.20 => 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)) ) % 194.29/194.20 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 194.29/194.20 => 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))) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg_Opinduct,axiom, % 194.29/194.20 ! [V_P_2,V_a1_2,V_a0_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ! [B_a,B_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( ~ ( 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))) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_dual__max,axiom, % 194.29/194.20 ! [T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg_Opinduct,axiom, % 194.29/194.20 ! [V_P_2,V_a1_2,V_a0_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ! [B_a,B_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__gcd_Opsimps,axiom, % 194.29/194.20 ! [V_y_2,V_x_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 194.29/194.20 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 => 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)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_zmult2__lemma,axiom, % 194.29/194.20 ! [V_c,V_r,V_q,V_b,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 194.29/194.20 => 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)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 194.29/194.20 ! [V_f_2,V_A_2,T_b] : % 194.29/194.20 ( ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.20 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__rel__0,axiom, % 194.29/194.20 ! [V_b] : % 194.29/194.20 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_self__remainder,axiom, % 194.29/194.20 ! [V_r,V_q,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_unique__quotient,axiom, % 194.29/194.20 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( 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))) % 194.29/194.20 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => V_q = V_q_H ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_unique__remainder,axiom, % 194.29/194.20 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( 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))) % 194.29/194.20 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => V_r = V_r_H ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__rel__neg,axiom, % 194.29/194.20 ! [V_qr,V_b,V_a] : % 194.29/194.20 ( 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)) % 194.29/194.20 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__correct,axiom, % 194.29/194.20 ! [V_a,V_b] : % 194.29/194.20 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_self__quotient,axiom, % 194.29/194.20 ! [V_r,V_q,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__rel__mod,axiom, % 194.29/194.20 ! [V_r,V_q,V_b,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__rel__div,axiom, % 194.29/194.20 ! [V_r,V_q,V_b,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_negDivAlg__correct,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__rel__div__mod,axiom, % 194.29/194.20 ! [V_a,V_b] : % 194.29/194.20 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_posDivAlg__correct,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_zadd1__lemma,axiom, % 194.29/194.20 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( 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))) % 194.29/194.20 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_zminus1__lemma,axiom, % 194.29/194.20 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => 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))))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__relI,axiom, % 194.29/194.20 ! [V_r,V_q,V_b,V_a] : % 194.29/194.20 ( 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) % 194.29/194.20 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_zmult1__lemma,axiom, % 194.29/194.20 ! [V_a,V_r,V_q,V_c,V_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 194.29/194.20 => 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)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__int__rel__def,axiom, % 194.29/194.20 ! [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))))))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__pos__neg__1__number__of,axiom, % 194.29/194.20 ! [V_w] : % 194.29/194.20 ( 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))) % 194.29/194.20 => 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))))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_in__measure,axiom, % 194.29/194.20 ! [V_f_2,V_y_2,V_x_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 194.29/194.20 ! [V_f_2,V_A_2,T_b] : % 194.29/194.20 ( ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.20 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_norm__frac_Opinduct,axiom, % 194.29/194.20 ! [V_P_2,V_a1_2,V_a0_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ! [B_a,B_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_snd__conv,axiom, % 194.29/194.20 ! [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 ). % 194.29/194.20 % 194.29/194.20 fof(fact_snd__eqD,axiom, % 194.29/194.20 ! [V_a,V_y,V_x,T_a,T_b] : % 194.29/194.20 ( 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 % 194.29/194.20 => V_y = V_a ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_snd__apsnd,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_apsnd__eq__conv,axiom, % 194.29/194.20 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 194.29/194.20 ( 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) % 194.29/194.20 <=> 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_snd__def,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__int__def,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__neg__pos,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__pos__pos,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__pos__pos__1__number__of,axiom, % 194.29/194.20 ! [V_w] : % 194.29/194.20 ( 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))) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__pos__neg,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__neg__neg,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__pos__neg__1__number__of,axiom, % 194.29/194.20 ! [V_w] : % 194.29/194.20 ( 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))) % 194.29/194.20 => 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))))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__gcd_Opinduct,axiom, % 194.29/194.20 ! [V_P_2,V_a1_2,V_a0_2] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ! [B_x,B_y] : % 194.29/194.20 ( 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))) % 194.29/194.20 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) ) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_arith__series__int,axiom, % 194.29/194.20 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mlex__leq,axiom, % 194.29/194.20 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_finite__lessThan,axiom, % 194.29/194.20 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Pair__fst__snd__eq,axiom, % 194.29/194.20 ! [T_c,T_b,V_t_2,V_s_2] : % 194.29/194.20 ( V_s_2 = V_t_2 % 194.29/194.20 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 194.29/194.20 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_prod__eqI,axiom, % 194.29/194.20 ! [V_q,V_p,T_b,T_a] : % 194.29/194.20 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 194.29/194.20 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 194.29/194.20 => V_p = V_q ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fst__eqD,axiom, % 194.29/194.20 ! [V_a,V_y,V_x,T_b,T_a] : % 194.29/194.20 ( 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 % 194.29/194.20 => V_x = V_a ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fst__conv,axiom, % 194.29/194.20 ! [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 ). % 194.29/194.20 % 194.29/194.20 fof(fact_lessThan__eq__iff,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 194.29/194.20 <=> V_x_2 = V_y_2 ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lessThan__Suc,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_card__lessThan,axiom, % 194.29/194.20 ! [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 ). % 194.29/194.20 % 194.29/194.20 fof(fact_lessThan__0,axiom, % 194.29/194.20 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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_UN__lessThan__UNIV,axiom, % 194.29/194.20 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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fst__apsnd,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fst__def,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lessThan__iff,axiom, % 194.29/194.20 ! [V_k_2,V_i_2,T_b] : % 194.29/194.20 ( class_Orderings_Oord(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lessThan__subset__iff,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( 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))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__lessThan__Suc,axiom, % 194.29/194.20 ! [V_n_2,V_f_2,T_b] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lessThan__strict__subset__iff,axiom, % 194.29/194.20 ! [V_n_2,V_m_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pair__collapse,axiom, % 194.29/194.20 ! [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 ). % 194.29/194.20 % 194.29/194.20 fof(fact_surjective__pairing,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_prod__case__beta,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__int__def,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mod__nat__def,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__beta,axiom, % 194.29/194.20 ! [V_z_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__comp__eq,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_single__Diff__lessThan,axiom, % 194.29/194.20 ! [V_k_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_split__def,axiom, % 194.29/194.20 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_finite__nat__set__iff__bounded,axiom, % 194.29/194.20 ! [V_N_2] : % 194.29/194.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 194.29/194.20 <=> ? [B_m] : % 194.29/194.20 ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 194.29/194.20 ! [V_N_2] : % 194.29/194.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 194.29/194.20 <=> ? [B_m] : % 194.29/194.20 ! [B_x] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__neg__pos,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_arith__series__general,axiom, % 194.29/194.20 ! [V_n_2,V_d_2,V_a_2,T_b] : % 194.29/194.20 ( class_Rings_Ocomm__semiring__1(T_b) % 194.29/194.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_arith__series__nat,axiom, % 194.29/194.20 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__pos__pos,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__pos__pos__1__number__of,axiom, % 194.29/194.20 ! [V_w] : % 194.29/194.20 ( 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))) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__pos__neg,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__neg__neg,axiom, % 194.29/194.20 ! [V_b,V_a] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 194.29/194.20 => 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)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_mlex__less,axiom, % 194.29/194.20 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_prod__size__simp,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_exI__realizer,axiom, % 194.29/194.20 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_conjI__realizer,axiom, % 194.29/194.20 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] : % 194.29/194.20 ( hBOOL(hAPP(V_P_2,V_p_2)) % 194.29/194.20 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 194.29/194.20 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 194.29/194.20 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat_Osize_I4_J,axiom, % 194.29/194.20 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__size,axiom, % 194.29/194.20 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 194.29/194.20 % 194.29/194.20 fof(fact_infinite__UNIV__nat,axiom, % 194.29/194.20 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_div__nat__def,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat_Osize_I3_J,axiom, % 194.29/194.20 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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_divmod__nat__rel__def,axiom, % 194.29/194.20 ! [V_qr_2,V_n_2,V_m_2] : % 194.29/194.20 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 194.29/194.20 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)) % 194.29/194.20 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.29/194.20 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 194.29/194.20 => ( 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))) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 194.29/194.20 & 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))) ) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__def,axiom, % 194.29/194.20 ! [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)))))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_range,axiom, % 194.29/194.20 ! [V_s,V_k] : % 194.29/194.20 ( 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)) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_def__coinduct3,axiom, % 194.29/194.20 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 194.29/194.20 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),V_A_2))))) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_coinduct3,axiom, % 194.29/194.20 ! [V_X_2,V_a_2,V_f_2,T_b] : % 194.29/194.20 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lfp__const,axiom, % 194.29/194.20 ! [V_t_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Rep__Integ__inject,axiom, % 194.29/194.20 ! [V_y_2,V_x_2] : % 194.29/194.20 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 194.29/194.20 <=> V_x_2 = V_y_2 ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lfp__lowerbound,axiom, % 194.29/194.20 ! [V_A_2,V_f_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_A_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lfp__unfold,axiom, % 194.29/194.20 ! [V_f_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 194.29/194.20 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_def__lfp__unfold,axiom, % 194.29/194.20 ! [V_f_2,V_h_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 194.29/194.20 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lfp__lemma2,axiom, % 194.29/194.20 ! [V_f_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lfp__lemma3,axiom, % 194.29/194.20 ! [V_f_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_def__lfp__induct,axiom, % 194.29/194.20 ! [V_P_2,V_f_2,V_A_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_P_2))),V_P_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_P_2)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_lfp__induct,axiom, % 194.29/194.20 ! [V_P_2,V_f_2,T_b] : % 194.29/194.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2))),V_P_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_coinduct3__lemma,axiom, % 194.29/194.20 ! [V_f_2,V_X_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_prod_Orecs,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OatMost__iff,axiom, % 194.29/194.20 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OatLeast__iff,axiom, % 194.29/194.20 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OlessThan__iff,axiom, % 194.29/194.20 ! [V_k_2,V_less_2,V_i_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 194.29/194.20 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OatLeastLessThan__iff,axiom, % 194.29/194.20 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 194.29/194.20 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OatLeastAtMost__iff,axiom, % 194.29/194.20 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ord_OgreaterThan__iff,axiom, % 194.29/194.20 ! [V_k_2,V_less_2,V_i_2,T_b] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 194.29/194.20 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_in__lex__prod,axiom, % 194.29/194.20 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2)) % 194.29/194.20 | ( V_a_2 = V_a_H_2 % 194.29/194.20 & 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)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_in__finite__psubset,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__nonneg__0,axiom, % 194.29/194.20 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Oordered__ab__group__add(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 194.29/194.20 => ( ! [B_i] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 194.29/194.20 => ( 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) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 194.29/194.20 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_same__fstI,axiom, % 194.29/194.20 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] : % 194.29/194.20 ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.29/194.20 => ( 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))) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__nonneg__leq__bound,axiom, % 194.29/194.20 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 194.29/194.20 ( class_Groups_Oordered__ab__group__add(T_c) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 194.29/194.20 => ( ! [B_i] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 194.29/194.20 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__number__of__Suc,axiom, % 194.29/194.20 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__Suc__number__of,axiom, % 194.29/194.20 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__add__distrib__left,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Oless__supI2,axiom, % 194.29/194.20 ! [V_a,V_b,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Oless__supI1,axiom, % 194.29/194.20 ! [V_b,V_a,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__less__iff__conj,axiom, % 194.29/194.20 ! [V_z_2,V_y_2,V_x_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( 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)) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_less__max__iff__disj,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_z_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__diff__distrib__left,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Groups_Oordered__ab__group__add(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__inf__absorb,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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 ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Oinf__sup__absorb,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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 ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__inf__distrib1,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__inf__distrib2,axiom, % 194.29/194.20 ! [V_x,V_z,V_y,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 194.29/194.20 ! [V_x,V_z,V_y,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__assoc,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup_Oassoc,axiom, % 194.29/194.20 ! [V_c,V_b,V_a,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__left__commute,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup_Oleft__commute,axiom, % 194.29/194.20 ! [V_c,V_a,V_b,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__left__idem,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup_Oleft__idem,axiom, % 194.29/194.20 ! [V_b,V_a,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__commute,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup_Ocommute,axiom, % 194.29/194.20 ! [V_b,V_a,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup_Oidem,axiom, % 194.29/194.20 ! [V_a,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oidem,axiom, % 194.29/194.20 ! [V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__Suc__Suc,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__0R,axiom, % 194.29/194.20 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__0L,axiom, % 194.29/194.20 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 194.29/194.20 ! [T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__of__mono,axiom, % 194.29/194.20 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 194.29/194.20 ( ( class_Orderings_Olinorder(T_c) % 194.29/194.20 & class_Orderings_Olinorder(T_b) ) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 194.29/194.20 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_m_2),V_n_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sup__max,axiom, % 194.29/194.20 ! [T_b] : % 194.29/194.20 ( ( class_Lattices_Osemilattice__sup(T_b) % 194.29/194.20 & class_Orderings_Olinorder(T_b) ) % 194.29/194.20 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sup__nat__def,axiom, % 194.29/194.20 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ole__supE,axiom, % 194.29/194.20 ! [V_x,V_b,V_a,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( 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)) % 194.29/194.20 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 194.29/194.20 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__mono,axiom, % 194.29/194.20 ! [V_d,V_b,V_c,V_a,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__least,axiom, % 194.29/194.20 ! [V_z,V_x,V_y,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 194.29/194.20 => 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)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ole__supI,axiom, % 194.29/194.20 ! [V_b,V_x,V_a,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 194.29/194.20 => 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)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__absorb1,axiom, % 194.29/194.20 ! [V_x,V_y,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 194.29/194.20 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__absorb2,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 194.29/194.20 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ole__supI2,axiom, % 194.29/194.20 ! [V_a,V_b,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ole__supI1,axiom, % 194.29/194.20 ! [V_b,V_a,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ole__sup__iff,axiom, % 194.29/194.20 ! [V_z_2,V_y_2,V_x_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( 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)) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ole__iff__sup,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 194.29/194.20 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_le__maxI2,axiom, % 194.29/194.20 ! [V_x,V_y,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_le__maxI1,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_le__max__iff__disj,axiom, % 194.29/194.20 ! [V_y_2,V_x_2,V_z_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( 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))) % 194.29/194.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__number__of,axiom, % 194.29/194.20 ! [V_v,V_u,T_b] : % 194.29/194.20 ( ( class_Int_Onumber(T_b) % 194.29/194.20 & class_Orderings_Oord(T_b) ) % 194.29/194.20 => ( ( 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))) % 194.29/194.20 => 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) ) % 194.29/194.20 & ( ~ 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))) % 194.29/194.20 => 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) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Odistrib__sup__le,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Odistrib__inf__le,axiom, % 194.29/194.20 ! [V_z,V_y,V_x,T_a] : % 194.29/194.20 ( class_Orderings_Olinorder(T_a) % 194.29/194.20 => 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)))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_minus__max__eq__min,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Groups_Olinordered__ab__group__add(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_minus__min__eq__max,axiom, % 194.29/194.20 ! [V_y,V_x,T_a] : % 194.29/194.20 ( class_Groups_Olinordered__ab__group__add(T_a) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_nat__minus__add__max,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__Suc1,axiom, % 194.29/194.20 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),V_m_2) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__Suc2,axiom, % 194.29/194.20 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_n_2)),V_m_2) ). % 194.29/194.20 % 194.29/194.20 fof(fact_max__ord__max,axiom, % 194.29/194.20 ! [T_b] : % 194.29/194.20 ( class_Orderings_Oord(T_b) % 194.29/194.20 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Ofold__sup__insert,axiom, % 194.29/194.20 ! [V_a_2,V_b_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Omono__sup,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 194.29/194.20 ( ( class_Lattices_Osemilattice__sup(T_c) % 194.29/194.20 & class_Orderings_Olinorder(T_b) ) % 194.29/194.20 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_A_2),V_B_2)))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_dual__min,axiom, % 194.29/194.20 ! [T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => 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) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__le__fold__sup,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Osup__Inf__absorb,axiom, % 194.29/194.20 ! [V_a_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.20 => 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 ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oremove,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 194.29/194.20 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => 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)))))) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OInf__le__Sup,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oremove,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 194.29/194.20 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => 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)))))) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_sum__diff__distrib,axiom, % 194.29/194.20 ! [V_n_2,V_P_2,V_Q_2] : % 194.29/194.20 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x))) % 194.29/194.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Osingleton,axiom, % 194.29/194.20 ! [V_x_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => 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 ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => 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) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max__ge,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => 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))) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 194.29/194.20 ! [V_x_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => 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 ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max__in,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oin__idem,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => 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) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_OF__eq,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 194.29/194.20 => 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) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 194.29/194.20 ! [V_a_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.20 => 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 ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.20 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max__mono,axiom, % 194.29/194.20 ! [V_N_2,V_M_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 194.29/194.20 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.20 => 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))) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 194.29/194.20 ! [V_a_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max__insert,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Osubset__idem,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 194.29/194.20 => 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) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max__Un,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.20 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oeq__fold__idem_H,axiom, % 194.29/194.20 ! [V_a_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => 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) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => 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 ) % 194.29/194.20 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => 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)))))) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.20 => ( 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)) % 194.29/194.20 => 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)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.20 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( 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)) % 194.29/194.20 => 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)) ) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => 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) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oinsert,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => 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)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oinsert__remove,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 194.29/194.20 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 194.29/194.20 => 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)))))) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Ounion__inter,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.20 => ( 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)) % 194.29/194.20 => 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)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Ounion__disjoint,axiom, % 194.29/194.20 ! [V_B_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.20 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( 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)) % 194.29/194.20 => 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)) ) ) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oeq__fold_H,axiom, % 194.29/194.20 ! [V_x_2,V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.20 => 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) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( ! [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)))))) % 194.29/194.20 => 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)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Max_Oclosed,axiom, % 194.29/194.20 ! [V_A_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.20 => ( ! [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)))))) % 194.29/194.20 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_apsnd__apfst,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_apfst__apsnd,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_apfst__conv,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_apfst__eq__conv,axiom, % 194.29/194.20 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 194.29/194.20 ( 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) % 194.29/194.20 <=> 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_fst__apfst,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_snd__apfst,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_apsnd__apfst__commute,axiom, % 194.29/194.20 ! [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)) ). % 194.29/194.20 % 194.29/194.20 fof(fact_pair__lessI2,axiom, % 194.29/194.20 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__natinterval__difff,axiom, % 194.29/194.20 ! [V_f_2,V_n_2,V_m_2,T_b] : % 194.29/194.20 ( class_Groups_Oab__group__add(T_b) % 194.29/194.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 194.29/194.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_gauss__sum,axiom, % 194.29/194.20 ! [V_n_2,T_b] : % 194.29/194.20 ( class_Rings_Ocomm__semiring__1(T_b) % 194.29/194.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_finite__atLeastAtMost,axiom, % 194.29/194.20 ! [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))) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastatMost__empty__iff2,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => ( 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) % 194.29/194.20 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastatMost__empty__iff,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => ( 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)) % 194.29/194.20 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastatMost__empty,axiom, % 194.29/194.20 ! [V_a_2,V_b_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 194.29/194.20 => 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)) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastatMost__subset__iff,axiom, % 194.29/194.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 194.29/194.20 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 194.29/194.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastAtMost__singleton,axiom, % 194.29/194.20 ! [V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => 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))) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastAtMost__singleton__iff,axiom, % 194.29/194.20 ! [V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.20 <=> ( V_a_2 = V_b_2 % 194.29/194.20 & V_b_2 = V_c_2 ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastAtMost__singleton_H,axiom, % 194.29/194.20 ! [V_b_2,V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => ( V_a_2 = V_b_2 % 194.29/194.20 => 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))) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 194.29/194.20 ! [V_n_2,V_m_2,V_f_2,T_b] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 194.29/194.20 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 194.29/194.20 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_card__atLeastAtMost,axiom, % 194.29/194.20 ! [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) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastAtMostSuc__conv,axiom, % 194.29/194.20 ! [V_n_2,V_m_2] : % 194.29/194.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 194.29/194.20 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 194.29/194.20 ! [V_k_2,V_f_2] : % 194.29/194.20 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_Int__atLeastAtMost,axiom, % 194.29/194.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Olinorder(T_b) % 194.29/194.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_atLeastatMost__psubset__iff,axiom, % 194.29/194.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 194.29/194.20 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 194.29/194.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 194.29/194.20 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 194.29/194.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 194.29/194.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 194.29/194.20 % 194.29/194.20 fof(fact_ivl__disj__int_I4_J,axiom, % 194.29/194.20 ! [V_u_2,V_l_2,T_b] : % 194.29/194.20 ( class_Orderings_Oorder(T_b) % 194.29/194.20 => 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)) ) ). % 194.29/194.20 % 194.29/194.21 fof(fact_setsum__head__Suc,axiom, % 194.29/194.21 ! [V_f_2,V_n_2,V_m_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_pair__lessI1,axiom, % 194.29/194.21 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__cl__ivl__Suc,axiom, % 194.29/194.21 ! [V_f_2,V_m_2,V_n_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 194.29/194.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__ub__add__nat,axiom, % 194.29/194.21 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_all__nat__less,axiom, % 194.29/194.21 ! [V_P_2,V_n_2] : % 194.29/194.21 ( ! [B_m] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 194.29/194.21 => hBOOL(hAPP(V_P_2,B_m)) ) % 194.29/194.21 <=> ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2))) % 194.29/194.21 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ex__nat__less,axiom, % 194.29/194.21 ! [V_P_2,V_n_2] : % 194.29/194.21 ( ? [B_m] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 194.29/194.21 & hBOOL(hAPP(V_P_2,B_m)) ) % 194.29/194.21 <=> ? [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2))) % 194.29/194.21 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_pair__leqI2,axiom, % 194.29/194.21 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_simp__from__to,axiom, % 194.29/194.21 ! [V_i_2,V_j_2] : % 194.29/194.21 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 194.29/194.21 => 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)) ) % 194.29/194.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__atLeastAtMost__int,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_pair__leqI1,axiom, % 194.29/194.21 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_wmin__insertI,axiom, % 194.29/194.21 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_wmax__insertI,axiom, % 194.29/194.21 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_smin__insertI,axiom, % 194.29/194.21 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__atLeastAtMost__int,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_smin__emptyI,axiom, % 194.29/194.21 ! [V_X_2] : % 194.29/194.21 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_wmin__emptyI,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_wmax__emptyI,axiom, % 194.29/194.21 ! [V_X_2] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_smax__insertI,axiom, % 194.29/194.21 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_min__weak__def,axiom, % 194.29/194.21 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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_bset_I6_J,axiom, % 194.29/194.21 ! [V_t_2,V_B_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_infinite__UNIV__int,axiom, % 194.29/194.21 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_min__strict__def,axiom, % 194.29/194.21 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 194.29/194.21 % 194.29/194.21 fof(fact_smax__emptyI,axiom, % 194.29/194.21 ! [V_Y_2] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 194.29/194.21 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_max__weak__def,axiom, % 194.29/194.21 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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_aset_I6_J,axiom, % 194.29/194.21 ! [V_A_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_bset_I8_J,axiom, % 194.29/194.21 ! [V_B_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 194.29/194.21 => 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))) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_max__strict__def,axiom, % 194.29/194.21 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 194.29/194.21 % 194.29/194.21 fof(fact_max__ext__additive,axiom, % 194.29/194.21 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ( 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))) % 194.29/194.21 => 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))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_max__extp__max__ext__eq,axiom, % 194.29/194.21 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 194.29/194.21 ( 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) % 194.29/194.21 <=> 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_bset_I3_J,axiom, % 194.29/194.21 ! [V_B_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ( ! [B_x] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xa] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 194.29/194.21 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 194.29/194.21 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_aset_I3_J,axiom, % 194.29/194.21 ! [V_A_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ( ! [B_x] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xa] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 194.29/194.21 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 194.29/194.21 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_aset_I4_J,axiom, % 194.29/194.21 ! [V_A_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( B_x != V_t_2 % 194.29/194.21 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_bset_I4_J,axiom, % 194.29/194.21 ! [V_B_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( B_x != V_t_2 % 194.29/194.21 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_bset_I7_J,axiom, % 194.29/194.21 ! [V_B_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 194.29/194.21 => 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))) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_aset_I5_J,axiom, % 194.29/194.21 ! [V_A_2,V_t_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_aset_I8_J,axiom, % 194.29/194.21 ! [V_t_2,V_A_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 194.29/194.21 => 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))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_periodic__finite__ex,axiom, % 194.29/194.21 ! [V_P_2,V_d_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 194.29/194.21 => ( ! [B_x,B_k] : % 194.29/194.21 ( hBOOL(hAPP(V_P_2,B_x)) % 194.29/194.21 <=> hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 194.29/194.21 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.29/194.21 <=> ? [B_x] : % 194.29/194.21 ( 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))) % 194.29/194.21 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_bset_I5_J,axiom, % 194.29/194.21 ! [V_t_2,V_B_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_aset_I7_J,axiom, % 194.29/194.21 ! [V_t_2,V_A_2,V_D_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 194.29/194.21 => ! [B_x] : % 194.29/194.21 ( ! [B_xa] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ! [B_xb] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 194.29/194.21 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 194.29/194.21 => 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))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__greaterThanLessThan__int,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__greaterThanLessThan__int,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThanLessThan__empty,axiom, % 194.29/194.21 ! [V_k_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I13_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I12_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__greaterThanLessThan,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_min__rpair__set,axiom, % 194.29/194.21 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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_max__rpair__set,axiom, % 194.29/194.21 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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__le__eq__Un0,axiom, % 194.29/194.21 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__greaterThanLessThan,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__atMost,axiom, % 194.29/194.21 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atMost__eq__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 194.29/194.21 <=> V_x_2 = V_y_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast0AtMost,axiom, % 194.29/194.21 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ). % 194.29/194.21 % 194.29/194.21 fof(fact_lessThan__Suc__atMost,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__atMost,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atMost__Suc,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atMost__iff,axiom, % 194.29/194.21 ! [V_k_2,V_i_2,T_b] : % 194.29/194.21 ( class_Orderings_Oord(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atMost__subset__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( 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))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__atMost__UNIV,axiom, % 194.29/194.21 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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__atMost__Suc,axiom, % 194.29/194.21 ! [V_n_2,V_f_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atMost__0,axiom, % 194.29/194.21 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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__greaterThanLessThan,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__atLeastAtMostL1,axiom, % 194.29/194.21 ! [V_d_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__atLeastAtMostR1,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__le__add__shift,axiom, % 194.29/194.21 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I1_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I2_J,axiom, % 194.29/194.21 ! [V_u_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I10_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I7_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I19_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I4_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_less__than__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2] : % 194.29/194.21 ( 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)) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__greaterThanAtMost,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__greaterThanAtMost__int,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThanAtMost__empty,axiom, % 194.29/194.21 ! [V_k_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 194.29/194.21 ! [V_l_2,V_k_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( 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) % 194.29/194.21 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThanAtMost__empty__iff,axiom, % 194.29/194.21 ! [V_l_2,V_k_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( 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)) % 194.29/194.21 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I20_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I14_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_pair__less__def,axiom, % 194.29/194.21 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__greaterThanAtMost,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I22_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I16_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__greaterThanAtMost,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I9_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I3_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I10_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__greaterThanAtMost__int,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I16_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__head,axiom, % 194.29/194.21 ! [V_P_2,V_n_2,V_m_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I5_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_mlex__prod__def,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_intrel__iff,axiom, % 194.29/194.21 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 194.29/194.21 ( 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)) % 194.29/194.21 <=> 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_rp__inv__image__rp,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_P_2,T_b] : % 194.29/194.21 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 194.29/194.21 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_rp__inv__image__def,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_in__inv__image,axiom, % 194.29/194.21 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 194.29/194.21 ( 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))) % 194.29/194.21 <=> 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_geometric__sum,axiom, % 194.29/194.21 ! [V_n_2,V_x_2,T_b] : % 194.29/194.21 ( class_Fields_Ofield(T_b) % 194.29/194.21 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_escape,axiom, % 194.29/194.21 ! [V_Q_2,V_c_2,V_Ga_2,T_b,V_P_2] : % 194.29/194.21 ( ! [B_Z,B_s] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 194.29/194.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_c_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) % 194.29/194.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__atLeastLessThan,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 194.29/194.21 => V_b_2 = V_d_2 ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 194.29/194.21 => V_a_2 = V_c_2 ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__eq__iff,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 194.29/194.21 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 194.29/194.21 <=> ( V_a_2 = V_c_2 % 194.29/194.21 & V_b_2 = V_d_2 ) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ex__nat__less__eq,axiom, % 194.29/194.21 ! [V_P_2,V_n_2] : % 194.29/194.21 ( ? [B_m] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 194.29/194.21 & hBOOL(hAPP(V_P_2,B_m)) ) % 194.29/194.21 <=> ? [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))) % 194.29/194.21 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_all__nat__less__eq,axiom, % 194.29/194.21 ! [V_P_2,V_n_2] : % 194.29/194.21 ( ! [B_m] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 194.29/194.21 => hBOOL(hAPP(V_P_2,B_m)) ) % 194.29/194.21 <=> ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))) % 194.29/194.21 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__add__Un,axiom, % 194.29/194.21 ! [V_k_2,V_j_2,V_i_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan0,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast0LessThan,axiom, % 194.29/194.21 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ). % 194.29/194.21 % 194.29/194.21 fof(fact_subset__card__intvl__is__intvl,axiom, % 194.29/194.21 ! [V_k_2,V_A_2] : % 194.29/194.21 ( 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))))) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__atLeastLessThan,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__empty,axiom, % 194.29/194.21 ! [V_a_2,V_b_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__empty__iff,axiom, % 194.29/194.21 ! [V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( 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)) % 194.29/194.21 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__empty__iff2,axiom, % 194.29/194.21 ! [V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( 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) % 194.29/194.21 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__subset__iff,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2))) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 194.29/194.21 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 194.29/194.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 194.29/194.21 ! [V_n_2,V_m_2,V_f_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I17_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 194.29/194.21 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__diff,axiom, % 194.29/194.21 ! [V_m_2,V_n_2,V_i_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 194.29/194.21 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I11_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__add__nat__ivl,axiom, % 194.29/194.21 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 194.29/194.21 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__diff__nat__ivl,axiom, % 194.29/194.21 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 194.29/194.21 ( class_Groups_Oab__group__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 194.29/194.21 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThan__singleton,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__UN__finite__eq,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I21_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I15_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__atLeastLessThan,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I8_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I2_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I9_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 194.29/194.21 ! [V_k_2,V_f_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__head__upt__Suc,axiom, % 194.29/194.21 ! [V_f_2,V_n_2,V_m_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThanSuc,axiom, % 194.29/194.21 ! [V_n_2,V_m_2] : % 194.29/194.21 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.21 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) % 194.29/194.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.29/194.21 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_setsum__op__ivl__Suc,axiom, % 194.29/194.21 ! [V_f_2,V_m_2,V_n_2,T_b] : % 194.29/194.21 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 194.29/194.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 194.29/194.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I15_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_measure__def,axiom, % 194.29/194.21 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I6_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I3_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I18_J,axiom, % 194.29/194.21 ! [V_u_2,V_m_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_irrefl__def,axiom, % 194.29/194.21 ! [V_r_2,T_b] : % 194.29/194.21 ( c_Relation_Oirrefl(T_b,V_r_2) % 194.29/194.21 <=> ! [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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__finite2__subset,axiom, % 194.29/194.21 ! [V_B_2,V_k_2,V_A_2,T_b] : % 194.29/194.21 ( ! [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))) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Field__insert,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__atLeastLessThan__int,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Field__empty,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_mono__Field,axiom, % 194.29/194.21 ! [V_s_2,V_r_2,T_b] : % 194.29/194.21 ( 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)) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Field__Un,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__Field,axiom, % 194.29/194.21 ! [V_r_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 194.29/194.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__atLeastZeroLessThan__int,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__atLeastLessThan__int,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__finite2__eq,axiom, % 194.29/194.21 ! [V_B_2,V_k_2,V_A_2,T_b] : % 194.29/194.21 ( ! [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) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__finite__subset,axiom, % 194.29/194.21 ! [V_C_2,V_A_2,T_b] : % 194.29/194.21 ( ! [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)) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Id__on__def,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Id__on__def_H,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Id__on__empty,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Id__on__iff,axiom, % 194.29/194.21 ! [V_A_2,V_y_2,V_x_2,T_b] : % 194.29/194.21 ( 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))) % 194.29/194.21 <=> ( V_x_2 = V_y_2 % 194.29/194.21 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Id__on__eqI,axiom, % 194.29/194.21 ! [V_A_2,T_b,V_b_2,V_a_2] : % 194.29/194.21 ( V_a_2 = V_b_2 % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.21 => 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))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Id__onE,axiom, % 194.29/194.21 ! [V_A_2,V_c_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 194.29/194.21 => ~ ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.21 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 194.29/194.21 ! [V_x_2,V_y_2,V_c_2] : % 194.29/194.21 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 194.29/194.21 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) ) % 194.29/194.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 194.29/194.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 194.29/194.21 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) % 194.29/194.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 194.29/194.21 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__atLeastZeroLessThan__int,axiom, % 194.29/194.21 ! [V_u_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__eqI,axiom, % 194.29/194.21 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 194.29/194.21 ( V_b_2 = hAPP(V_f_2,V_x_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__imageI,axiom, % 194.29/194.21 ! [V_h_2,T_c,V_F_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 194.29/194.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_range__composition,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_rev__image__eqI,axiom, % 194.29/194.21 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_imageI,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__iff,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 194.29/194.21 <=> ? [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.21 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_INT__simps_I10_J,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_INT__extend__simps_I10_J,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__image,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 <=> 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( V_A_2 = V_B_2 % 194.29/194.21 <=> 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Pow__surj,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 194.29/194.21 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__is__empty,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_b,T_c] : % 194.29/194.21 ( 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)) % 194.29/194.21 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__empty,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_empty__is__image,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( 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) % 194.29/194.21 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__simps_I10_J,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__UN,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__extend__simps_I10_J,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__insert,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Un,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Pow__mono,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_subset__image__iff,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 194.29/194.21 <=> ? [B_AA] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 194.29/194.21 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__mono,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_insert__image,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_range__eqI,axiom, % 194.29/194.21 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 194.29/194.21 ( V_b_2 = hAPP(V_f_2,V_x_2) % 194.29/194.21 => 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))))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_rangeI,axiom, % 194.29/194.21 ! [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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__surj,axiom, % 194.29/194.21 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.29/194.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Int__subset,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__diff__subset,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__atLeastAtMost,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Suc__atLeastLessThan,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Suc__atLeastAtMost,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__greaterThanLessThan,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__constant__conv,axiom, % 194.29/194.21 ! [V_c_2,T_c,T_b,V_A_2] : % 194.29/194.21 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 194.29/194.21 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__range__imageI,axiom, % 194.29/194.21 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 194.29/194.21 ( 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))))) % 194.29/194.21 => 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))))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 194.29/194.21 ! [V_A_2,V_x_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 194.29/194.21 <=> 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_b] : % 194.29/194.21 ( ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 & class_Groups_Ocomm__monoid__mult(T_b) ) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__add__atLeastLessThan,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__add__atLeastAtMost,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 <=> 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Union,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__image__le,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__atLeastLessThan,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__greaterThanAtMost,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_weak__coinduct__image,axiom, % 194.29/194.21 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)),hAPP(V_f_2,hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)))) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_g_2,V_a_2)),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_c,tc_HOL_Obool),V_f_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__constant,axiom, % 194.29/194.21 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__eq__UN,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_b] : % 194.29/194.21 ( ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 & class_Groups_Ocomm__monoid__mult(T_b) ) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 194.29/194.21 ! [V_A_2] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 194.29/194.21 <=> 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 194.29/194.21 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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__eq__fold__image,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 194.29/194.21 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_minus__Min__eq__Max,axiom, % 194.29/194.21 ! [V_S_2,T_b] : % 194.29/194.21 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.21 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_minus__Max__eq__Min,axiom, % 194.29/194.21 ! [V_S_2,T_b] : % 194.29/194.21 ( class_Groups_Olinordered__ab__group__add(T_b) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.21 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 194.29/194.21 ! [V_n_2,V_m_2] : % 194.29/194.21 ( c_Nat__Transfer_Ois__nat(V_m_2) % 194.29/194.21 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 194.29/194.21 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_n_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_surj__Compl__image__subset,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_b,T_c] : % 194.29/194.21 ( 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)) % 194.29/194.21 => 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)))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Least__mono,axiom, % 194.29/194.21 ! [V_S_2,V_f_2,T_b,T_c] : % 194.29/194.21 ( ( class_Orderings_Oorder(T_c) % 194.29/194.21 & class_Orderings_Oorder(T_b) ) % 194.29/194.21 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 194.29/194.21 => ( ? [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 194.29/194.21 & ! [B_xa] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) % 194.29/194.21 => c_Orderings_Oord__class_OLeast(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2))) = hAPP(V_f_2,c_Orderings_Oord__class_OLeast(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThan__0,axiom, % 194.29/194.21 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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_pair__imageI,axiom, % 194.29/194.21 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.21 ( 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)) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Cantors__paradox,axiom, % 194.29/194.21 ! [V_A_2,T_b] : % 194.29/194.21 ~ ? [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThan__eq__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 194.29/194.21 <=> V_x_2 = V_y_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_LeastI__ex,axiom, % 194.29/194.21 ! [V_P_2,T_b] : % 194.29/194.21 ( class_Orderings_Owellorder(T_b) % 194.29/194.21 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.29/194.21 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_LeastI,axiom, % 194.29/194.21 ! [V_k_2,V_P_2,T_b] : % 194.29/194.21 ( class_Orderings_Owellorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 194.29/194.21 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Field__Union,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UNION__eq__Union__image,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Union__image__eq,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_INTER__eq__Inter__image,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Inter__image__eq,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Least__le,axiom, % 194.29/194.21 ! [V_k_2,V_P_2,T_b] : % 194.29/194.21 ( class_Orderings_Owellorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_P_2)),V_k_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_not__less__Least,axiom, % 194.29/194.21 ! [V_P_2,V_k_2,T_b] : % 194.29/194.21 ( class_Orderings_Owellorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_P_2))) % 194.29/194.21 => ~ hBOOL(hAPP(V_P_2,V_k_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__set__return__embed,axiom, % 194.29/194.21 ! [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 ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThan__iff,axiom, % 194.29/194.21 ! [V_k_2,V_i_2,T_b] : % 194.29/194.21 ( class_Orderings_Oord(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThan__subset__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( 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))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Un__Union__image,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__Inter__image,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Pow__insert,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Compl__atMost,axiom, % 194.29/194.21 ! [V_k_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Compl__greaterThan,axiom, % 194.29/194.21 ! [V_k_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 194.29/194.21 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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Least__Suc,axiom, % 194.29/194.21 ! [V_n_2,V_P_2] : % 194.29/194.21 ( hBOOL(hAPP(V_P_2,V_n_2)) % 194.29/194.21 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 194.29/194.21 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_OSuc))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_INT__greaterThan__UNIV,axiom, % 194.29/194.21 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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 194.29/194.21 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__add__int__atLeastLessThan,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__ident,axiom, % 194.29/194.21 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I7_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I11_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__lessThan,axiom, % 194.29/194.21 ! [V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__greaterThan,axiom, % 194.29/194.21 ! [V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I5_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_greaterThan__Suc,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 194.29/194.21 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 194.29/194.21 ! [V_f_2,V_A_2,T_b] : % 194.29/194.21 ( ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 & class_Groups_Ocomm__monoid__mult(T_b) ) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__pointwise,axiom, % 194.29/194.21 ! [V_Q_2,V_P_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2)) % 194.29/194.21 => ( ! [B_p] : % 194.29/194.21 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) % 194.29/194.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ) % 194.29/194.21 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2)) % 194.29/194.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__image,axiom, % 194.29/194.21 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 194.29/194.21 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => 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)))))) ) % 194.29/194.21 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__triv,axiom, % 194.29/194.21 ! [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 ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.21 => ( V_A_2 = V_B_2 % 194.29/194.21 <=> 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__idem,axiom, % 194.29/194.21 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 194.29/194.21 ( hAPP(V_f_2,V_x_2) = V_y_2 % 194.29/194.21 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__other,axiom, % 194.29/194.21 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 194.29/194.21 ( V_z_2 != V_x_2 % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__twist,axiom, % 194.29/194.21 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 194.29/194.21 ( V_a_2 != V_c_2 % 194.29/194.21 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__apply,axiom, % 194.29/194.21 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 194.29/194.21 ( ( V_z_2 = V_x_2 % 194.29/194.21 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 194.29/194.21 & ( V_z_2 != V_x_2 % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__same,axiom, % 194.29/194.21 ! [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 ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__upd,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__idem__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 194.29/194.21 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_fun__upd__def,axiom, % 194.29/194.21 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 194.29/194.21 ( ( V_x_2 = V_a_2 % 194.29/194.21 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 194.29/194.21 & ( V_x_2 != V_a_2 % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 194.29/194.21 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_nat__set__def,axiom, % 194.29/194.21 ! [V_S_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_S_2) % 194.29/194.21 <=> ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 194.29/194.21 ! [V_y_2,V_x_2] : % 194.29/194.21 ( c_Nat__Transfer_Ois__nat(V_x_2) % 194.29/194.21 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 194.29/194.21 ! [V_x_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 194.29/194.21 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 194.29/194.21 ! [V_y_2,V_x_2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 194.29/194.21 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.21 => 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))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__nat__int__set__return__embed,axiom, % 194.29/194.21 ! [V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => 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 ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 194.29/194.21 ! [V_x_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 194.29/194.21 ! [V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 194.29/194.21 <=> 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))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 194.29/194.21 ! [V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 194.29/194.21 ! [V_A_2,V_x_2] : % 194.29/194.21 ( c_Nat__Transfer_Ois__nat(V_x_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 194.29/194.21 <=> 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))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 <=> 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))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 <=> 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))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 194.29/194.21 ! [V_f_2,V_A_2,T_b] : % 194.29/194.21 ( ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.21 & class_Groups_Ocomm__monoid__mult(T_b) ) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 194.29/194.21 ! [V_B_2,V_A_2] : % 194.29/194.21 ( c_Nat__Transfer_Onat__set(V_A_2) % 194.29/194.21 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.21 => 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))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast__Suc,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 194.29/194.21 ! [V_N_2,V_h_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( ! [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)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 194.29/194.21 ! [V_N_2,V_h_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( ! [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)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast__eq__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 194.29/194.21 <=> V_x_2 = V_y_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast__iff,axiom, % 194.29/194.21 ! [V_k_2,V_i_2,T_b] : % 194.29/194.21 ( class_Orderings_Oord(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast__subset__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => ( 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))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast__0,axiom, % 194.29/194.21 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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Compl__atLeast,axiom, % 194.29/194.21 ! [V_k_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Compl__lessThan,axiom, % 194.29/194.21 ! [V_k_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atLeast__Suc__greaterThan,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I14_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I8_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__atLeastAtMostL2,axiom, % 194.29/194.21 ! [V_c_2,V_b_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Int__atLeastAtMostR2,axiom, % 194.29/194.21 ! [V_d_2,V_c_2,V_a_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__atLeast__UNIV,axiom, % 194.29/194.21 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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__int_I6_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__atLeast,axiom, % 194.29/194.21 ! [V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__uminus__atMost,axiom, % 194.29/194.21 ! [V_x_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_atMost__Int__atLeast,axiom, % 194.29/194.21 ! [V_n_2,T_b] : % 194.29/194.21 ( class_Orderings_Oorder(T_b) % 194.29/194.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I1_J,axiom, % 194.29/194.21 ! [V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I13_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ivl__disj__un_I12_J,axiom, % 194.29/194.21 ! [V_u_2,V_l_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Max_Ohom__commute,axiom, % 194.29/194.21 ! [V_N_2,V_h_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( ! [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)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Min_Ohom__commute,axiom, % 194.29/194.21 ! [V_N_2,V_h_2,T_b] : % 194.29/194.21 ( class_Orderings_Olinorder(T_b) % 194.29/194.21 => ( ! [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)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Inf__fin_Ohom__commute,axiom, % 194.29/194.21 ! [V_N_2,V_h_2,T_b] : % 194.29/194.21 ( class_Lattices_Olattice(T_b) % 194.29/194.21 => ( ! [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)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Sup__fin_Ohom__commute,axiom, % 194.29/194.21 ! [V_N_2,V_h_2,T_b] : % 194.29/194.21 ( class_Lattices_Olattice(T_b) % 194.29/194.21 => ( ! [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)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_hom__fold1__commute,axiom, % 194.29/194.21 ! [V_N_2,V_h_2,T_b] : % 194.29/194.21 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 194.29/194.21 => ( ! [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)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equiv__intrel__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2] : % 194.29/194.21 ( 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)))) % 194.29/194.21 <=> 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__Un,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__empty,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__UN,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__Int__subset,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__mono,axiom, % 194.29/194.21 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 194.29/194.21 ( 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)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 194.29/194.21 => 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))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Un__Image,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__Id__on,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__INT__subset,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_rev__ImageI,axiom, % 194.29/194.21 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__iff,axiom, % 194.29/194.21 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 194.29/194.21 <=> ? [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 194.29/194.21 & 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__eq__UN,axiom, % 194.29/194.21 ! [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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Image__singleton__iff,axiom, % 194.29/194.21 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 194.29/194.21 ( 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)))))) % 194.29/194.21 <=> 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_of__int,axiom, % 194.29/194.21 ! [V_j_2,V_i_2,T_b] : % 194.29/194.21 ( class_Rings_Oring__1(T_b) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_One__int__def,axiom, % 194.29/194.21 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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_mult,axiom, % 194.29/194.21 ! [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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Rep__Integ__inverse,axiom, % 194.29/194.21 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 194.29/194.21 % 194.29/194.21 fof(fact_minus,axiom, % 194.29/194.21 ! [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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Zero__int__def,axiom, % 194.29/194.21 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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_int__def,axiom, % 194.29/194.21 ! [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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_add,axiom, % 194.29/194.21 ! [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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_nat,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_minus__int__def,axiom, % 194.29/194.21 ! [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))))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_less,axiom, % 194.29/194.21 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 194.29/194.21 ( 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))))))) % 194.29/194.21 <=> 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_le,axiom, % 194.29/194.21 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 194.29/194.21 ( 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))))))) % 194.29/194.21 <=> 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_eq__Abs__Integ,axiom, % 194.29/194.21 ! [V_z_2] : % 194.29/194.21 ~ ! [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))))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__def,axiom, % 194.29/194.21 ! [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)))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_ImageE,axiom, % 194.29/194.21 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 194.29/194.21 => ~ ! [B_x] : % 194.29/194.21 ( 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)) % 194.29/194.21 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__empty,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__is__empty2,axiom, % 194.29/194.21 ! [V_r_2,V_A_2,T_b] : % 194.29/194.21 ( 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) % 194.29/194.21 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__is__empty,axiom, % 194.29/194.21 ! [V_r_2,V_A_2,T_b] : % 194.29/194.21 ( 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)) % 194.29/194.21 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotientI,axiom, % 194.29/194.21 ! [V_r_2,V_A_2,V_x_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_singleton__quotient,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equiv__class__nondisjoint,axiom, % 194.29/194.21 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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))))))) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_subset__equiv__class,axiom, % 194.29/194.21 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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)))))) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotientE,axiom, % 194.29/194.21 ! [V_r_2,V_A_2,V_X_2,T_b] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ~ ! [B_x] : % 194.29/194.21 ( 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)))) % 194.29/194.21 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equiv__intrel,axiom, % 194.29/194.21 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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Union__quotient,axiom, % 194.29/194.21 ! [V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => 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 ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equiv__class__self,axiom, % 194.29/194.21 ! [V_a_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.21 => 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)))))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__disj,axiom, % 194.29/194.21 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( V_X_2 = V_Y_2 % 194.29/194.21 | 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equiv__class__eq,axiom, % 194.29/194.21 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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)) % 194.29/194.21 => 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)))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__eqI,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__eq__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 194.29/194.21 => ( V_X_2 = V_Y_2 % 194.29/194.21 <=> 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)) ) ) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equiv__class__eq__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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)) % 194.29/194.21 <=> ( 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)))) % 194.29/194.21 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_eq__equiv__class,axiom, % 194.29/194.21 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 194.29/194.21 ( 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)))) % 194.29/194.21 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_eq__equiv__class__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 194.29/194.21 => ( 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)))) % 194.29/194.21 <=> 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equiv__class__subset,axiom, % 194.29/194.21 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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)) % 194.29/194.21 => 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)))))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_eq__equiv__class__iff2,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 194.29/194.21 => ( 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) % 194.29/194.21 <=> 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__equiv__class,axiom, % 194.29/194.21 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.21 => 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) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__equiv__class2,axiom, % 194.29/194.21 ! [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] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 194.29/194.21 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 194.29/194.21 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 194.29/194.21 => 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) ) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equivp__equiv,axiom, % 194.29/194.21 ! [V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 194.29/194.21 <=> 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_identity__equivp,axiom, % 194.29/194.21 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equivp__def,axiom, % 194.29/194.21 ! [V_R_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 194.29/194.21 <=> ! [B_x,B_y] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 194.29/194.21 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equivp__reflp,axiom, % 194.29/194.21 ! [V_x_2,V_R_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 194.29/194.21 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equivp__symp,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_R_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_equivp__transp,axiom, % 194.29/194.21 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_congruent2__implies__congruent,axiom, % 194.29/194.21 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 194.29/194.21 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.21 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_congruent__def,axiom, % 194.29/194.21 ! [V_f_2,V_r_2,T_c,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 194.29/194.21 <=> ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_congruent2D,axiom, % 194.29/194.21 ! [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] : % 194.29/194.21 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 194.29/194.21 => ( 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)) % 194.29/194.21 => ( 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)) % 194.29/194.21 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_congruentD,axiom, % 194.29/194.21 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 194.29/194.21 => ( 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)) % 194.29/194.21 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_congruent2__implies__congruent__UN,axiom, % 194.29/194.21 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 194.29/194.21 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 194.29/194.21 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__equiv__class__inject,axiom, % 194.29/194.21 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 194.29/194.21 => ( 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) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.21 => ! [B_y] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 194.29/194.21 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 194.29/194.21 => 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)) ) ) ) % 194.29/194.21 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__equiv__class__type2,axiom, % 194.29/194.21 ! [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] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 194.29/194.21 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 194.29/194.21 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( ! [B_x1] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 194.29/194.21 => ! [B_x2] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 194.29/194.21 => 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)) ) ) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_UN__equiv__class__type,axiom, % 194.29/194.21 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 194.29/194.21 => ( 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))) % 194.29/194.21 => ( ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 194.29/194.21 => 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)) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Integ__def,axiom, % 194.29/194.21 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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__on__def_H,axiom, % 194.29/194.21 ! [V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.29/194.21 <=> ( ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 194.29/194.21 => 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)) ) % 194.29/194.21 & ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__quotient__disjoint,axiom, % 194.29/194.21 ! [V_r_2,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( 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) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__empty,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__uminus,axiom, % 194.29/194.21 ! [V_A_2,T_b] : % 194.29/194.21 ( class_Groups_Oordered__ab__group__add(T_b) % 194.29/194.21 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__image,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => 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) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__imageD,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 194.29/194.21 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 194.29/194.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__Int,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__diff,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__on__Id__on,axiom, % 194.29/194.21 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__contraD,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( V_x_2 != V_y_2 % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 194.29/194.21 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__iff,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 194.29/194.21 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 194.29/194.21 <=> V_x_2 = V_y_2 ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__onD,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 194.29/194.21 => V_x_2 = V_y_2 ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__id2,axiom, % 194.29/194.21 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 194.29/194.21 % 194.29/194.21 fof(fact_strict__mono__imp__inj__on,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_b,T_c] : % 194.29/194.21 ( ( class_Orderings_Oorder(T_c) % 194.29/194.21 & class_Orderings_Olinorder(T_b) ) % 194.29/194.21 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 194.29/194.21 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__def,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 <=> ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.21 => ! [B_xa] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 194.29/194.21 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 194.29/194.21 => B_x = B_xa ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_subset__inj__on,axiom, % 194.29/194.21 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__Un__image__eq__iff,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 194.29/194.21 <=> V_A_2 = V_B_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__image__eq__iff,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 194.29/194.21 <=> V_A_2 = V_B_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_injD,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 194.29/194.21 => V_x_2 = V_y_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__eq,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 194.29/194.21 <=> V_x_2 = V_y_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__fun,axiom, % 194.29/194.21 ! [T_d,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__strict__subset,axiom, % 194.29/194.21 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 => 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))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_range__ex1__eq,axiom, % 194.29/194.21 ! [V_b_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => ( 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))))) % 194.29/194.21 <=> ? [B_x] : % 194.29/194.21 ( V_b_2 = hAPP(V_f_2,B_x) % 194.29/194.21 & ! [B_y] : % 194.29/194.21 ( V_b_2 = hAPP(V_f_2,B_y) % 194.29/194.21 => B_y = B_x ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__image__mem__iff,axiom, % 194.29/194.21 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__iff__surj,axiom, % 194.29/194.21 ! [V_A_H_2,T_c,T_b,V_A_2] : % 194.29/194.21 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.21 => ( ? [B_f] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 194.29/194.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) ) % 194.29/194.21 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__surj__inj,axiom, % 194.29/194.21 ! [V_f_2,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2))) % 194.29/194.21 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_endo__inj__surj,axiom, % 194.29/194.21 ! [V_f_2,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2)) % 194.29/194.21 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 194.29/194.21 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__UNIV__surj__inj,axiom, % 194.29/194.21 ! [V_f_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 194.29/194.21 => ( 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)) % 194.29/194.21 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_finite__UNIV__inj__surj,axiom, % 194.29/194.21 ! [V_f_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 194.29/194.21 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__on__empty,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__image__subset__iff,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) % 194.29/194.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__image__Int,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__Int,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => 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)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_eq__card__imp__inj__on,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( 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) % 194.29/194.21 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__iff__eq__card,axiom, % 194.29/194.21 ! [V_f_2,T_c,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 <=> 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__image__set__diff,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 194.29/194.21 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__set__diff,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_pigeonhole,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( 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))) % 194.29/194.21 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__fun__updI,axiom, % 194.29/194.21 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.29/194.21 => 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) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__on__Un,axiom, % 194.29/194.21 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__on__Int,axiom, % 194.29/194.21 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__singleton,axiom, % 194.29/194.21 ! [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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_Rep__Integ,axiom, % 194.29/194.21 ! [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)) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__bij__eq,axiom, % 194.29/194.21 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 194.29/194.21 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 194.29/194.21 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__image__Compl__subset,axiom, % 194.29/194.21 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),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)))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__onD,axiom, % 194.29/194.21 ! [V_a_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__onD1,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_refl__onD2,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 194.29/194.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.29/194.21 => ( 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)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__insert,axiom, % 194.29/194.21 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 194.29/194.21 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__Un,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.21 & 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__iff__card__le,axiom, % 194.29/194.21 ! [V_B_2,T_c,V_A_2,T_b] : % 194.29/194.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 194.29/194.21 => ( ? [B_f] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 194.29/194.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) ) % 194.29/194.21 <=> 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))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_card__inj__on__le,axiom, % 194.29/194.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 194.29/194.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 194.29/194.21 => 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))) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_quotient__diff1,axiom, % 194.29/194.21 ! [V_a_2,V_A_2,V_r_2,T_b] : % 194.29/194.21 ( 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) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.21 => 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)) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_image__INT,axiom, % 194.29/194.21 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 194.29/194.21 => ( ! [B_x] : % 194.29/194.21 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 194.29/194.21 => 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)) ) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 194.29/194.21 => 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)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_type__definition__Integ,axiom, % 194.29/194.21 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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_the__inv__into__into,axiom, % 194.29/194.21 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.21 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__Suc,axiom, % 194.29/194.21 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__on__add__nat,axiom, % 194.29/194.21 ! [V_N_2,V_k_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2),V_N_2) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__of__nat,axiom, % 194.29/194.21 ! [T_b] : % 194.29/194.21 ( class_Nat_Osemiring__char__0(T_b) % 194.29/194.21 => 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))) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_inj__int,axiom, % 194.29/194.21 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))) ). % 194.29/194.21 % 194.29/194.21 fof(fact_swap__inj__on,axiom, % 194.29/194.21 ! [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) ). % 194.29/194.21 % 194.29/194.21 fof(fact_the__inv__into__f__eq,axiom, % 194.29/194.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.21 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 194.29/194.21 % 194.29/194.21 fof(fact_the__inv__into__f__f,axiom, % 194.29/194.21 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.22 => 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 ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_the__inv__f__f,axiom, % 194.29/194.22 ! [V_x_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.22 => 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 ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_the__inv__into__onto,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.22 => 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 ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__on__the__inv__into,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.22 => 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_f__the__inv__into__f,axiom, % 194.29/194.22 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.29/194.22 => 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 ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_type__definition_OAbs__image,axiom, % 194.29/194.22 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 194.29/194.22 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 194.29/194.22 => 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_type__definition_ORep__range,axiom, % 194.29/194.22 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 194.29/194.22 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 194.29/194.22 => 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 ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_type__definition_OAbs__inject,axiom, % 194.29/194.22 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 194.29/194.22 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 194.29/194.22 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 194.29/194.22 <=> V_x_2 = V_y_2 ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_type__definition_ORep__inject,axiom, % 194.29/194.22 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 194.29/194.22 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 194.29/194.22 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 194.29/194.22 <=> V_x_2 = V_y_2 ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_type__definition_ORep__inverse,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 194.29/194.22 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 194.29/194.22 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_type__definition_ORep,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 194.29/194.22 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_type__definition_OAbs__inverse,axiom, % 194.29/194.22 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 194.29/194.22 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 194.29/194.22 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 194.29/194.22 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 194.29/194.22 ( ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.22 & class_Groups_Ocomm__monoid__mult(T_b) ) % 194.29/194.22 => ( V_A_2 = V_B_2 % 194.29/194.22 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 194.29/194.22 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 194.29/194.22 => 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) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 194.29/194.22 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 194.29/194.22 ( ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.22 & class_Groups_Ocomm__monoid__mult(T_b) ) % 194.29/194.22 => ( V_A_2 = V_B_2 % 194.29/194.22 => ( c_Nat__Transfer_Onat__set(V_B_2) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 194.29/194.22 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 194.29/194.22 => 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) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_accp__acc__eq,axiom, % 194.29/194.22 ! [V_x_2,V_r_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_acc__subset,axiom, % 194.29/194.22 ! [V_R2_2,V_R1_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_acc__downward,axiom, % 194.29/194.22 ! [V_a_2,V_r_2,V_b_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 194.29/194.22 => ( 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)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_acc_Osimps,axiom, % 194.29/194.22 ! [V_r_2,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 194.29/194.22 <=> ! [B_x] : % 194.29/194.22 ( 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)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_max__extp_Oequations,axiom, % 194.29/194.22 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 194.29/194.22 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 194.29/194.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 194.29/194.22 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 & ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 194.29/194.22 => ? [B_xa] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 194.29/194.22 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_max__ext_Ointros,axiom, % 194.29/194.22 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 194.29/194.22 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 194.29/194.22 => ? [B_xa] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 194.29/194.22 & 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)) ) ) % 194.29/194.22 => 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))) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nitpick_Ozero__frac__def,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nitpick_Oone__frac__def,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nitpick_Ofrac__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__on__Inter,axiom, % 194.29/194.22 ! [V_f_2,T_c,T_b,V_S_2] : % 194.29/194.22 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 194.29/194.22 => ( ! [B_A] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 194.29/194.22 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_the__elem__def,axiom, % 194.29/194.22 ! [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))))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding__one__idem_Ohom__commute,axiom, % 194.29/194.22 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 194.29/194.22 => ( ! [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)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.22 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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)) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_split__paired__The,axiom, % 194.29/194.22 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_P_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_The__split__eq,axiom, % 194.29/194.22 ! [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) ). % 194.29/194.22 % 194.29/194.22 fof(fact_the__inv__into__def,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fold__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_divmod__nat__def,axiom, % 194.29/194.22 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fold1__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_The__split,axiom, % 194.29/194.22 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_flat__lub__def,axiom, % 194.29/194.22 ! [V_b_2,V_A_2,T_b] : % 194.29/194.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 194.29/194.22 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 194.29/194.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 194.29/194.22 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__vimage__singleton,axiom, % 194.29/194.22 ! [V_a_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.22 => 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))))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Rep__Integ__induct,axiom, % 194.29/194.22 ! [V_P_2,V_y_2] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 194.29/194.22 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x))) % 194.29/194.22 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimageI,axiom, % 194.29/194.22 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 194.29/194.22 ( hAPP(V_f_2,V_a_2) = V_b_2 % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__UNIV,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__UN,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__mono,axiom, % 194.29/194.22 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__ident,axiom, % 194.29/194.22 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__code,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 194.29/194.22 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__Compl,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__empty,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__Un,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__Int,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__INT,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__Diff,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimageI2,axiom, % 194.29/194.22 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimageD,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__eq,axiom, % 194.29/194.22 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 194.29/194.22 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_image__vimage__subset,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_surj__image__vimage__eq,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,T_b,T_c] : % 194.29/194.22 ( 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)) % 194.29/194.22 => 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 ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__Union,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__singleton__eq,axiom, % 194.29/194.22 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 194.29/194.22 ( 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)))))) % 194.29/194.22 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__insert,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__vimageD,axiom, % 194.29/194.22 ! [V_F_2,V_h_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 194.29/194.22 => ( 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)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__subsetD,axiom, % 194.29/194.22 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_image__vimage__eq,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__vimageI,axiom, % 194.29/194.22 ! [V_h_2,T_c,V_F_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 194.29/194.22 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__vimage__image__eq,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.22 => 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 ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__const,axiom, % 194.29/194.22 ! [T_c,V_A_2,V_c_2,T_b] : % 194.29/194.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 194.29/194.22 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 194.29/194.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 194.29/194.22 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__eq__UN,axiom, % 194.29/194.22 ! [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))))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__subsetI,axiom, % 194.29/194.22 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.22 => ( 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))) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__if,axiom, % 194.29/194.22 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 194.29/194.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 194.29/194.22 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 194.29/194.22 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 194.29/194.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 194.29/194.22 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 194.29/194.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 194.29/194.22 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 194.29/194.22 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) ) % 194.29/194.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 194.29/194.22 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_image__split__eq__Sigma,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Rep__Integ__cases,axiom, % 194.29/194.22 ! [V_y_2] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 194.29/194.22 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__on__INTER,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 194.29/194.22 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => ( ! [B_i] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 194.29/194.22 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_SigmaI,axiom, % 194.29/194.22 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 194.29/194.22 => 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))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Times__eq__cancel2,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 194.29/194.22 => ( 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)) % 194.29/194.22 <=> V_A_2 = V_B_2 ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__Diff__distrib1,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Times__Diff__distrib1,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__Diff__distrib2,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__Union,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__empty1,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_card__cartesian__product,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__cartesian__product,axiom, % 194.29/194.22 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_b) % 194.29/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__empty2,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Times__empty,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Compl__Times__UNIV2,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Compl__Times__UNIV1,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setprod__cartesian__product,axiom, % 194.29/194.22 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__mult(T_b) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__Un__distrib2,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Times__Un__distrib1,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__Un__distrib1,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_swap__product,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__cartesian__product,axiom, % 194.29/194.22 ! [V_B_2,T_c,V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 194.29/194.22 => 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)))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_equiv__type,axiom, % 194.29/194.22 ! [V_r_2,V_A_2,T_b] : % 194.29/194.22 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.29/194.22 => 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)))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__Int__distrib2,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Times__Int__distrib1,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__Int__distrib1,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Id__on__subset__Times,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_UNIV__Times__UNIV,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_SigmaE2,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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))) % 194.29/194.22 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.22 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_SigmaD2,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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))) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_SigmaD1,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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))) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_mem__Sigma__iff,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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))) % 194.29/194.22 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.22 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_card__cartesian__product__singleton,axiom, % 194.29/194.22 ! [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) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Times__subset__cancel2,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 194.29/194.22 => ( 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)))) % 194.29/194.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Image__subset,axiom, % 194.29/194.22 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 194.29/194.22 ( 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)))) % 194.29/194.22 => 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__cartesian__productD1,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_c,T_b] : % 194.29/194.22 ( 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)))) % 194.29/194.22 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__cartesian__productD2,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_c,T_b] : % 194.29/194.22 ( 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)))) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fst__image__times,axiom, % 194.29/194.22 ! [V_A_2,T_c,T_b,V_B_2] : % 194.29/194.22 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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)) ) % 194.29/194.22 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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 ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_snd__image__times,axiom, % 194.29/194.22 ! [V_B_2,T_c,T_b,V_A_2] : % 194.29/194.22 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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)) ) % 194.29/194.22 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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 ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_refl__on__def,axiom, % 194.29/194.22 ! [V_r_2,V_A_2,T_b] : % 194.29/194.22 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.29/194.22 <=> ( 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)))) % 194.29/194.22 & ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 => 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)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_insert__times__insert,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__equiv__class,axiom, % 194.29/194.22 ! [V_X_2,V_r_2,V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( 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)))) % 194.29/194.22 => ( 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))) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_UN__Times__distrib,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sigma__def,axiom, % 194.29/194.22 ! [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))))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__quotient,axiom, % 194.29/194.22 ! [V_r_2,V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( 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)))) % 194.29/194.22 => 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))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 194.29/194.22 ! [V_A_2,V_I_2,T_c,T_b] : % 194.29/194.22 ? [B_f] : % 194.29/194.22 ( 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)) % 194.29/194.22 & 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_refl__onI,axiom, % 194.29/194.22 ! [V_A_2,V_r_2,T_b] : % 194.29/194.22 ( 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)))) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 => 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)) ) % 194.29/194.22 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fold__image__Sigma,axiom, % 194.29/194.22 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__mult(T_d) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 194.29/194.22 => 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)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setprod__Sigma,axiom, % 194.29/194.22 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__mult(T_d) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 194.29/194.22 => 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)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__Sigma,axiom, % 194.29/194.22 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_d) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 194.29/194.22 => 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)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_card__SigmaI,axiom, % 194.29/194.22 ! [V_B_2,T_c,V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 194.29/194.22 => 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) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__SigmaI,axiom, % 194.29/194.22 ! [V_B_2,T_c,V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( ! [B_a] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 194.29/194.22 => 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))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_SigmaE,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 194.29/194.22 => ~ ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 => ! [B_y] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 194.29/194.22 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__surj,axiom, % 194.29/194.22 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__imageI,axiom, % 194.29/194.22 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__simp,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__ident,axiom, % 194.29/194.22 ! [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 ). % 194.29/194.22 % 194.29/194.22 fof(fact_snd__prod__fun,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fst__map__pair,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__surj__on,axiom, % 194.29/194.22 ! [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] : % 194.29/194.22 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 194.29/194.22 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__inj__on,axiom, % 194.29/194.22 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.22 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 194.29/194.22 => 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))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_prod__fun__imageE,axiom, % 194.29/194.22 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2))) % 194.29/194.22 => ~ ! [B_x,B_y] : % 194.29/194.22 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 194.29/194.22 => ~ 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_card__less__Suc2,axiom, % 194.29/194.22 ! [V_i_2,V_M_2] : % 194.29/194.22 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 194.29/194.22 => 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))))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_card__less,axiom, % 194.29/194.22 ! [V_i_2,V_M_2] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 194.29/194.22 => 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) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_CollectI,axiom, % 194.29/194.22 ! [T_b,V_a_2,V_P_2] : % 194.29/194.22 ( hBOOL(hAPP(V_P_2,V_a_2)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Collect__conjI,axiom, % 194.29/194.22 ! [V_Q_2,V_P_2,T_b] : % 194.29/194.22 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Collect__less__nat,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Collect__le__nat,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__split,axiom, % 194.29/194.22 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_SetCompr__Sigma__eq,axiom, % 194.29/194.22 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__neg__eq,axiom, % 194.29/194.22 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__Collect__eq,axiom, % 194.29/194.22 ! [V_P_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_P_2),V_f_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_CollectE,axiom, % 194.29/194.22 ! [V_P_2,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_CollectD,axiom, % 194.29/194.22 ! [V_P_2,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_mem__Collect__eq,axiom, % 194.29/194.22 ! [V_P_2,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__mem__eq,axiom, % 194.29/194.22 ! [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 ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__conj__eq,axiom, % 194.29/194.22 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__disj__eq,axiom, % 194.29/194.22 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_insert__Collect,axiom, % 194.29/194.22 ! [V_P_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_empty__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_empty__Collect__eq,axiom, % 194.29/194.22 ! [V_P_2,T_b] : % 194.29/194.22 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2) % 194.29/194.22 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__empty__eq,axiom, % 194.29/194.22 ! [V_P_2,T_b] : % 194.29/194.22 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Collect__disjI,axiom, % 194.29/194.22 ! [V_Q_2,V_P_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)))) % 194.29/194.22 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__def,axiom, % 194.29/194.22 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_UNIV__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_insert__compr__raw,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_insert__compr,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Un__def,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Int__def,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Int__Collect,axiom, % 194.29/194.22 ! [V_P_2,V_A_2,V_x_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))) % 194.29/194.22 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.22 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__conv__if,axiom, % 194.29/194.22 ! [T_b,V_a_2,V_P_2] : % 194.29/194.22 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 194.29/194.22 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 194.29/194.22 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 194.29/194.22 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__conv__if2,axiom, % 194.29/194.22 ! [T_b,V_a_2,V_P_2] : % 194.29/194.22 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 194.29/194.22 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 194.29/194.22 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 194.29/194.22 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_singleton__conv,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_singleton__conv2,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_set__diff__eq,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Collect__not,axiom, % 194.29/194.22 ! [V_P_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)))) % 194.29/194.22 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_insert__def,axiom, % 194.29/194.22 ! [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) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Compl__eq,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__ball__eq,axiom, % 194.29/194.22 ! [V_P_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Collect__imp__eq,axiom, % 194.29/194.22 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Inter__eq,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__M__bounded__by__nat,axiom, % 194.29/194.22 ! [V_i_2,V_P_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_P_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__setsum__restrict,axiom, % 194.29/194.22 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_d) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 194.29/194.22 => 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) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_INTER__def,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_if__image__distrib,axiom, % 194.29/194.22 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_P_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_P_2))))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_nat__seg__image__imp__finite,axiom, % 194.29/194.22 ! [V_n_2,V_f_2,T_b,V_A_2] : % 194.29/194.22 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2))) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__restrict__set_H,axiom, % 194.29/194.22 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => 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) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__image__gen,axiom, % 194.29/194.22 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Inf__Sup,axiom, % 194.29/194.22 ! [V_A_2,T_b] : % 194.29/194.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.22 => 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))))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Sup__Inf,axiom, % 194.29/194.22 ! [V_A_2,T_b] : % 194.29/194.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.29/194.22 => 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)))))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Image__singleton,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__cases,axiom, % 194.29/194.22 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_card__less__Suc,axiom, % 194.29/194.22 ! [V_i_2,V_M_2] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 194.29/194.22 => 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))))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__multicount,axiom, % 194.29/194.22 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 194.29/194.22 => 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 ) % 194.29/194.22 => 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)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_b] : % 194.29/194.22 ( class_Orderings_Olinorder(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.22 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))))) ) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,T_b] : % 194.29/194.22 ( class_Orderings_Olinorder(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Collect__subsets,axiom, % 194.29/194.22 ! [V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => 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)))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Pow__Compl,axiom, % 194.29/194.22 ! [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))))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Pow__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__image__set,axiom, % 194.29/194.22 ! [V_f_2,T_c,V_P_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_P_2))))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Collect__bounded__ex,axiom, % 194.29/194.22 ! [V_Q_2,T_c,V_P_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))))) % 194.29/194.22 <=> ! [B_y] : % 194.29/194.22 ( hBOOL(hAPP(V_P_2,B_y)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__graph,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 194.29/194.22 ! [V_P_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__psubset__def,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inv__image__def,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 194.29/194.22 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 194.29/194.22 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_P_2),c_Int_Onat)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_add__Min__commute,axiom, % 194.29/194.22 ! [V_k_2,V_N_2,T_b] : % 194.29/194.22 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.22 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_add__Max__commute,axiom, % 194.29/194.22 ! [V_k_2,V_N_2,T_b] : % 194.29/194.22 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 194.29/194.22 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_sup__Inf1__distrib,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,T_b] : % 194.29/194.22 ( class_Lattices_Odistrib__lattice(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_sup__Inf2__distrib,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_b] : % 194.29/194.22 ( class_Lattices_Odistrib__lattice(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.22 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))))) ) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inf__Sup2__distrib,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_b] : % 194.29/194.22 ( class_Lattices_Odistrib__lattice(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.22 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))))) ) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inf__Sup1__distrib,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,T_b] : % 194.29/194.22 ( class_Lattices_Odistrib__lattice(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,T_b] : % 194.29/194.22 ( class_Orderings_Olinorder(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.29/194.22 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))))) ) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,T_b] : % 194.29/194.22 ( class_Orderings_Olinorder(T_b) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 => 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))))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nitpick_Oprod__def,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_int__ge__less__than__def,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_int__ge__less__than2__def,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_reflp__def,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Predicate_Oreflp(T_b,V_r_2) % 194.29/194.22 <=> 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__mult__setsum__if__inj,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 194.29/194.22 ( class_Rings_Osemiring__0(T_d) % 194.29/194.22 => ( 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))) % 194.29/194.22 => 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))))))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_def__lfp__induct__set,axiom, % 194.29/194.22 ! [V_P_2,V_a_2,V_f_2,T_b,V_A_2] : % 194.29/194.22 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 194.29/194.22 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 194.29/194.22 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.29/194.22 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__on__id,axiom, % 194.29/194.22 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 194.29/194.22 % 194.29/194.22 fof(fact_id__apply,axiom, % 194.29/194.22 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 194.29/194.22 % 194.29/194.22 fof(fact_id__def,axiom, % 194.29/194.22 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 194.29/194.22 % 194.29/194.22 fof(fact_reflpE,axiom, % 194.29/194.22 ! [V_x_2,V_r_2,T_b] : % 194.29/194.22 ( c_Predicate_Oreflp(T_b,V_r_2) % 194.29/194.22 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_apsnd__id,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_apfst__id,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__id,axiom, % 194.29/194.22 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair_Oid,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair_Oidentity,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_of__int__eq__id,axiom, % 194.29/194.22 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 194.29/194.22 % 194.29/194.22 fof(fact_image__id,axiom, % 194.29/194.22 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_surj__id,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_apsnd__def,axiom, % 194.29/194.22 ! [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) ). % 194.29/194.22 % 194.29/194.22 fof(fact_apfst__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_split__Pair,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__reindex__id,axiom, % 194.29/194.22 ! [V_B_2,V_f_2,T_b,T_c] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setprod__reindex__id,axiom, % 194.29/194.22 ! [V_B_2,V_f_2,T_b,T_c] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_lfp__induct__set,axiom, % 194.29/194.22 ! [V_P_2,V_f_2,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) % 194.29/194.22 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 194.29/194.22 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.29/194.22 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_def__Collect__coinduct,axiom, % 194.29/194.22 ! [V_X_2,V_a_2,V_P_2,T_b,V_A_2] : % 194.29/194.22 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 194.29/194.22 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 194.29/194.22 => ( ! [B_z] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2)) % 194.29/194.22 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) ) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_lfp__induct2,axiom, % 194.29/194.22 ! [V_P_2,V_f_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2))) % 194.29/194.22 => ( c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2) % 194.29/194.22 => ( ! [B_a,B_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)))))) % 194.29/194.22 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) % 194.29/194.22 => hBOOL(hAPP(hAPP(V_P_2,V_a_2),V_b_2)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__multicount__gen,axiom, % 194.29/194.22 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 194.29/194.22 => ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 194.29/194.22 => 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) ) % 194.29/194.22 => 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) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__conv__nat__seg__image,axiom, % 194.29/194.22 ! [V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 <=> ? [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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__def,axiom, % 194.29/194.22 ! [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))))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__compI,axiom, % 194.29/194.22 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__mono,axiom, % 194.29/194.22 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__empty2,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__empty1,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_O__assoc,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__distrib,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__distrib2,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__UNION__distrib,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__UNION__distrib2,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_union__comp__emptyL,axiom, % 194.29/194.22 ! [V_B_2,V_C_2,V_A_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_union__comp__emptyR,axiom, % 194.29/194.22 ! [V_C_2,V_B_2,V_A_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_rel__comp__subset__Sigma,axiom, % 194.29/194.22 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 194.29/194.22 ( 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)))) % 194.29/194.22 => ( 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)))) % 194.29/194.22 => 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)))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_max__ext__compat,axiom, % 194.29/194.22 ! [V_S_2,V_R_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_min__ext__compat,axiom, % 194.29/194.22 ! [V_S_2,V_R_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_pred__comp__rel__comp__eq,axiom, % 194.29/194.22 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_reduction__pairI,axiom, % 194.29/194.22 ! [V_S_2,V_R_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_R_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__Collect__split,axiom, % 194.29/194.22 ! [V_P_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__less__than,axiom, % 194.29/194.22 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 194.29/194.22 % 194.29/194.22 fof(fact_pred__comp_Ointros,axiom, % 194.29/194.22 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__empty,axiom, % 194.29/194.22 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__inv__image,axiom, % 194.29/194.22 ! [V_f_2,T_c,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__lex__prod,axiom, % 194.29/194.22 ! [V_rb_2,T_c,V_ra_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_ra_2) % 194.29/194.22 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 194.29/194.22 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__measure,axiom, % 194.29/194.22 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_RangeI,axiom, % 194.29/194.22 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__comp__self,axiom, % 194.29/194.22 ! [V_R_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_R_2) % 194.29/194.22 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__Int1,axiom, % 194.29/194.22 ! [V_r_H_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__Int2,axiom, % 194.29/194.22 ! [V_r_H_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_max__ext__wf,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_min__ext__wf,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_eq__comp__r,axiom, % 194.29/194.22 ! [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 ). % 194.29/194.22 % 194.29/194.22 fof(fact_pred__comp_Oequations,axiom, % 194.29/194.22 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> ? [B_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 194.29/194.22 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__pair__less,axiom, % 194.29/194.22 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__Id__on,axiom, % 194.29/194.22 ! [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 ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__mlex,axiom, % 194.29/194.22 ! [V_f_2,V_R_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_R_2) % 194.29/194.22 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__finite__psubset,axiom, % 194.29/194.22 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__subset,axiom, % 194.29/194.22 ! [V_p_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__not__refl,axiom, % 194.29/194.22 ! [V_a_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => ~ 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__not__sym,axiom, % 194.29/194.22 ! [V_x_2,V_a_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => ~ 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__asym,axiom, % 194.29/194.22 ! [V_x_2,V_a_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => ~ 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__irrefl,axiom, % 194.29/194.22 ! [V_a_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => ~ 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__less,axiom, % 194.29/194.22 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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__int__ge__less__than,axiom, % 194.29/194.22 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__int__ge__less__than2,axiom, % 194.29/194.22 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__acc__iff,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_acc__wfD,axiom, % 194.29/194.22 ! [V_x_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__no__loop,axiom, % 194.29/194.22 ! [V_R_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__union__merge,axiom, % 194.29/194.22 ! [V_S_2,V_R_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__Union,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__empty,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__empty__iff,axiom, % 194.29/194.22 ! [V_r_2,T_b,T_c] : % 194.29/194.22 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__Un__eq,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Range,axiom, % 194.29/194.22 ! [V_r_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_snd__eq__Range,axiom, % 194.29/194.22 ! [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) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 <=> ~ ? [B_f] : % 194.29/194.22 ! [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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfE__pf,axiom, % 194.29/194.22 ! [V_A_2,V_R_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_R_2) % 194.29/194.22 => ( 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))) % 194.29/194.22 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__union__compatible,axiom, % 194.29/194.22 ! [V_S_2,V_R_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_R_2) % 194.29/194.22 => ( c_Wellfounded_Owf(T_b,V_S_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__iff,axiom, % 194.29/194.22 ! [V_r_2,T_c,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 194.29/194.22 <=> ? [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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf,axiom, % 194.29/194.22 ! [T_b] : % 194.29/194.22 ( class_Orderings_Owellorder(T_b) % 194.29/194.22 => 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)))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_reduction__pair__def,axiom, % 194.29/194.22 ! [V_P_2,T_b] : % 194.29/194.22 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 194.29/194.22 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)) % 194.29/194.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_reduction__pair__lemma,axiom, % 194.29/194.22 ! [V_S_2,V_R_2,V_P_2,T_b] : % 194.29/194.22 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 194.29/194.22 => ( c_Wellfounded_Owf(T_b,V_S_2) % 194.29/194.22 => 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)) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__insert,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__Int__subset,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Range__Diff__subset,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__map__pair__image,axiom, % 194.29/194.22 ! [V_f_2,T_c,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_RangeP__Range__eq,axiom, % 194.29/194.22 ! [V_x_2,V_r_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__lenlex,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_RangeE,axiom, % 194.29/194.22 ! [V_r_2,T_c,V_b_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 194.29/194.22 => ~ ! [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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_RangeP_Ointros,axiom, % 194.29/194.22 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 194.29/194.22 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_RangeP_Oequations,axiom, % 194.29/194.22 ! [V_a2_2,V_r_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 194.29/194.22 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_pred__nat__def,axiom, % 194.29/194.22 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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__lex,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__lexn,axiom, % 194.29/194.22 ! [V_n_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_lex__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_lexn_Osimps_I1_J,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__pred__nat,axiom, % 194.29/194.22 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__Un,axiom, % 194.29/194.22 ! [V_s_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => ( c_Wellfounded_Owf(T_b,V_s_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => 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)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__same__fst,axiom, % 194.29/194.22 ! [T_b,V_R_2,T_c,V_P_2] : % 194.29/194.22 ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(V_P_2,B_x)) % 194.29/194.22 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 194.29/194.22 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__if__measure,axiom, % 194.29/194.22 ! [T_b,V_g_2,V_f_2,V_P_2] : % 194.29/194.22 ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(V_P_2,B_x)) % 194.29/194.22 => 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))) ) % 194.29/194.22 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_DomainI,axiom, % 194.29/194.22 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__Id__on,axiom, % 194.29/194.22 ! [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 ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__empty__iff,axiom, % 194.29/194.22 ! [V_r_2,T_c,T_b] : % 194.29/194.22 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.29/194.22 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__empty,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__mono,axiom, % 194.29/194.22 ! [V_s_2,V_r_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__Un__eq,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__Domain,axiom, % 194.29/194.22 ! [V_r_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fst__eq__Domain,axiom, % 194.29/194.22 ! [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) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__iff,axiom, % 194.29/194.22 ! [V_r_2,T_c,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 194.29/194.22 <=> ? [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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__insert,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__Int__subset,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__Diff__subset,axiom, % 194.29/194.22 ! [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)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Field__def,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__Union,axiom, % 194.29/194.22 ! [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)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Domain__Collect__split,axiom, % 194.29/194.22 ! [V_P_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_P_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_DomainP__Domain__eq,axiom, % 194.29/194.22 ! [V_x_2,V_r_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_DomainE,axiom, % 194.29/194.22 ! [V_r_2,T_c,V_a_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 194.29/194.22 => ~ ! [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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfP__def,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_OwfP(T_b,V_r_2) % 194.29/194.22 <=> 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_DomainP_Ointros,axiom, % 194.29/194.22 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 194.29/194.22 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfP__empty,axiom, % 194.29/194.22 ! [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))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_accp__wfPD,axiom, % 194.29/194.22 ! [V_x_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_OwfP(T_b,V_r_2) % 194.29/194.22 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfP__accp__iff,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_OwfP(T_b,V_r_2) % 194.29/194.22 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfP__subset,axiom, % 194.29/194.22 ! [V_p_2,V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_OwfP(T_b,V_r_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_DomainP_Oequations,axiom, % 194.29/194.22 ! [V_a1_2,V_r_2,T_c,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 194.29/194.22 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__in__rel,axiom, % 194.29/194.22 ! [V_R_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_R_2) % 194.29/194.22 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfP__wf__eq,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfP__acyclicP,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_OwfP(T_b,V_r_2) % 194.29/194.22 => 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))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_the__eq__trivial,axiom, % 194.29/194.22 ! [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 ). % 194.29/194.22 % 194.29/194.22 fof(fact_the__sym__eq__trivial,axiom, % 194.29/194.22 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_acyclic__subset,axiom, % 194.29/194.22 ! [V_r_2,V_s_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__acyclic,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__acyclic__wf,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 194.29/194.22 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 194.29/194.22 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wf__iff__acyclic__if__finite,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 194.29/194.22 => ( c_Wellfounded_Owf(T_b,V_r_2) % 194.29/194.22 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Nitpick_Owf_H__def,axiom, % 194.29/194.22 ! [V_r_2,T_b] : % 194.29/194.22 ( c_Nitpick_Owf_H(T_b,V_r_2) % 194.29/194.22 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 194.29/194.22 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 194.29/194.22 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_pigeonhole__infinite,axiom, % 194.29/194.22 ! [V_f_2,T_c,V_A_2,T_b] : % 194.29/194.22 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.29/194.22 => ? [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.29/194.22 & ~ 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)))))) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Abs__Integ__induct,axiom, % 194.29/194.22 ! [V_x_2,V_P_2] : % 194.29/194.22 ( ! [B_y] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 194.29/194.22 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 194.29/194.22 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Abs__Integ__cases,axiom, % 194.29/194.22 ! [V_x_2] : % 194.29/194.22 ~ ! [B_y] : % 194.29/194.22 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 194.29/194.22 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_finite__UN__I,axiom, % 194.29/194.22 ! [V_B_2,T_c,V_A_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( ! [B_a] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 194.29/194.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 194.29/194.22 => 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))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__on__diff__nat,axiom, % 194.29/194.22 ! [V_k_2,V_N_2] : % 194.29/194.22 ( ! [B_x] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 194.29/194.22 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_wfP__SUP,axiom, % 194.29/194.22 ! [T_b,V_r_2,T_c] : % 194.29/194.22 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 194.29/194.22 => ( ! [B_i,B_j] : % 194.29/194.22 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 194.29/194.22 => 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)) ) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_mem__splitE,axiom, % 194.29/194.22 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 194.29/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2))) % 194.29/194.22 => ~ ! [B_x,B_y] : % 194.29/194.22 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 194.29/194.22 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_mem__splitI2,axiom, % 194.29/194.22 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 194.29/194.22 ( ! [B_a,B_b] : % 194.29/194.22 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 194.29/194.22 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__Times,axiom, % 194.29/194.22 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Eps__split,axiom, % 194.29/194.22 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__on__imageI,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2) % 194.29/194.22 => 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)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_comp__inj__on,axiom, % 194.29/194.22 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_comp__inj__on__iff,axiom, % 194.29/194.22 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.22 => ( 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)) % 194.29/194.22 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__on__imageI2,axiom, % 194.29/194.22 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2) % 194.29/194.22 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_inj__comp,axiom, % 194.29/194.22 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.29/194.22 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 194.29/194.22 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_image__compose,axiom, % 194.29/194.22 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_comp__surj,axiom, % 194.29/194.22 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( 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)) % 194.29/194.22 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair_Ocompositionality,axiom, % 194.29/194.22 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair__compose,axiom, % 194.29/194.22 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_map__pair_Ocomp,axiom, % 194.29/194.22 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_vimage__compose,axiom, % 194.29/194.22 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fun__upd__comp,axiom, % 194.29/194.22 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_apfst__compose,axiom, % 194.29/194.22 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ). % 194.29/194.22 % 194.29/194.22 fof(fact_apsnd__compose,axiom, % 194.29/194.22 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 194.29/194.22 ! [V_x_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 194.29/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_tfl__some,axiom, % 194.29/194.22 ! [T_b,B_P] : % 194.29/194.22 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 194.29/194.22 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_someI,axiom, % 194.29/194.22 ! [T_b,V_x_2,V_P_2] : % 194.29/194.22 ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.29/194.22 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__eq__dest__lhs,axiom, % 194.29/194.22 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 194.29/194.22 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 194.29/194.22 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_comp__cong,axiom, % 194.29/194.22 ! [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] : % 194.29/194.22 ( 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)) % 194.29/194.22 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 194.29/194.22 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.29/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_some__sym__eq__trivial,axiom, % 194.29/194.22 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_some__eq__trivial,axiom, % 194.29/194.22 ! [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 ). % 194.29/194.22 % 194.29/194.22 fof(fact_some__eq__ex,axiom, % 194.29/194.22 ! [T_b,V_P_2] : % 194.29/194.22 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) % 194.29/194.22 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_someI__ex,axiom, % 194.29/194.22 ! [T_b,V_P_2] : % 194.29/194.22 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.29/194.22 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_K__record__comp,axiom, % 194.29/194.22 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__def,axiom, % 194.29/194.22 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__assoc,axiom, % 194.29/194.22 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__apply,axiom, % 194.29/194.22 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__eq__dest,axiom, % 194.29/194.22 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 194.29/194.22 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 194.29/194.22 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__eq__elim,axiom, % 194.29/194.22 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 194.29/194.22 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 194.29/194.22 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_exE__some,axiom, % 194.29/194.22 ! [T_b,V_c_2,V_P_2] : % 194.29/194.22 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.29/194.22 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2) % 194.29/194.22 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__eq__id__dest,axiom, % 194.29/194.22 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 194.29/194.22 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2) % 194.29/194.22 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_id__o,axiom, % 194.29/194.22 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_o__id,axiom, % 194.29/194.22 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum__reindex,axiom, % 194.29/194.22 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_d) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setprod__reindex,axiom, % 194.29/194.22 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__mult(T_d) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 194.29/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setprod__reindex__cong,axiom, % 194.29/194.22 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__mult(T_d) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.29/194.22 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 194.29/194.22 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 194.29/194.22 => 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) ) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_Eps__split__eq,axiom, % 194.29/194.22 ! [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) ). % 194.29/194.22 % 194.29/194.22 fof(fact_split__paired__Eps,axiom, % 194.29/194.22 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setsum_Oreindex,axiom, % 194.29/194.22 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__add(T_c) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 194.29/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_setprod_Oreindex,axiom, % 194.29/194.22 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 194.29/194.22 ( class_Groups_Ocomm__monoid__mult(T_c) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 194.29/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_the__inv__into__comp,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 194.29/194.22 ( 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)) % 194.29/194.22 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 194.29/194.22 => ( 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)))) % 194.29/194.22 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fold__image__reindex,axiom, % 194.29/194.22 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 194.29/194.22 ( class_Groups_Oab__semigroup__mult(T_d) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 194.29/194.22 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding_Oremove,axiom, % 194.29/194.22 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.29/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.29/194.22 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding__image_Oreindex,axiom, % 194.29/194.22 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.29/194.22 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 194.29/194.22 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_UN__o,axiom, % 194.29/194.22 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ). % 194.29/194.22 % 194.29/194.22 fof(fact_fst__comp__map__pair,axiom, % 194.29/194.22 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_snd__comp__map__pair,axiom, % 194.29/194.22 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 194.29/194.22 ! [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] : % 194.29/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 194.29/194.22 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding_Ocommute__comp,axiom, % 194.29/194.22 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.29/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding_Ocommute__left__comp,axiom, % 194.29/194.22 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.29/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding__image_Odistrib,axiom, % 194.29/194.22 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 194.29/194.22 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 194.29/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.29/194.22 => 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)) ) ) ). % 194.29/194.22 % 194.29/194.22 fof(fact_split__comp,axiom, % 194.29/194.22 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 194.29/194.22 % 194.29/194.22 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 194.44/194.22 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.44/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Ocommute__comp_H_H,axiom, % 194.44/194.22 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.44/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Ocommute__left__comp_H,axiom, % 194.44/194.22 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Ocommute__comp_H,axiom, % 194.44/194.22 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Oempty,axiom, % 194.44/194.22 ! [V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Oeq__fold,axiom, % 194.44/194.22 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => 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) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding__image_Oeq__fold,axiom, % 194.44/194.22 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 194.44/194.22 => 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) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Oinsert,axiom, % 194.44/194.22 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.44/194.22 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Ounion__inter,axiom, % 194.44/194.22 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.44/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Oinsert__remove,axiom, % 194.44/194.22 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding_Ounion,axiom, % 194.44/194.22 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.44/194.22 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.44/194.22 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Loop__sound__lemma,axiom, % 194.44/194.22 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] : % 194.44/194.22 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 194.44/194.22 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_hoare__derivs_OIf,axiom, % 194.44/194.22 ! [V_d_2,V_Q_2,V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] : % 194.44/194.22 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 194.44/194.22 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 194.44/194.22 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_peek__and__def,axiom, % 194.44/194.22 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_b] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_p_2),V_Z_2),V_s_2)) % 194.44/194.22 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2)) % 194.44/194.22 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Loop,axiom, % 194.44/194.22 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] : % 194.44/194.22 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 194.44/194.22 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_setsum__reindex__nonzero,axiom, % 194.44/194.22 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 194.44/194.22 ( class_Groups_Ocomm__monoid__add(T_d) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 194.44/194.22 => ( ! [B_x] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 194.44/194.22 => ! [B_y] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 194.44/194.22 => ( B_x != B_y % 194.44/194.22 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 194.44/194.22 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 194.44/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding__idem_Ounion__idem,axiom, % 194.44/194.22 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 194.44/194.22 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding__idem_Oidem__left__comp,axiom, % 194.44/194.22 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding__idem_Oidem__comp,axiom, % 194.44/194.22 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding__idem_Oin__comp__idem,axiom, % 194.44/194.22 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.44/194.22 => 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) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding__idem_Oinsert__idem,axiom, % 194.44/194.22 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 194.44/194.22 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 194.44/194.22 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 194.44/194.22 => 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) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_strong__setprod__reindex__cong,axiom, % 194.44/194.22 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 194.44/194.22 ( class_Groups_Ocomm__monoid__mult(T_d) % 194.44/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.44/194.22 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 194.44/194.22 => ( ! [B_x] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.44/194.22 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) ) % 194.44/194.22 => 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) ) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_wfI__pf,axiom, % 194.44/194.22 ! [V_R_2,T_b] : % 194.44/194.22 ( ! [B_A] : % 194.44/194.22 ( 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))) % 194.44/194.22 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 194.44/194.22 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Sigma__mono,axiom, % 194.44/194.22 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 194.44/194.22 => ( ! [B_x] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.44/194.22 => 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))) ) % 194.44/194.22 => 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))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_not__acc__down,axiom, % 194.44/194.22 ! [V_R_2,V_x_2,T_b] : % 194.44/194.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 194.44/194.22 => ~ ! [B_z] : % 194.44/194.22 ( 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)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_acc_OaccI,axiom, % 194.44/194.22 ! [V_r_2,V_x_2,T_b] : % 194.44/194.22 ( ! [B_y] : % 194.44/194.22 ( 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)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_max__ext_Osimps,axiom, % 194.44/194.22 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 194.44/194.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 194.44/194.22 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.44/194.22 & ! [B_x] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 194.44/194.22 => ? [B_xa] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 194.44/194.22 & 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)) ) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 194.44/194.22 ! [V_c_2,V_b_2,V_A_2,T_b] : % 194.44/194.22 ( class_Orderings_Olinorder(T_b) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( ! [B_x] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Max__eqI,axiom, % 194.44/194.22 ! [V_x_2,V_A_2,T_b] : % 194.44/194.22 ( class_Orderings_Olinorder(T_b) % 194.44/194.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.22 => ( ! [B_y] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.44/194.22 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_wf__no__infinite__down__chainE,axiom, % 194.44/194.22 ! [V_f_2,V_r_2,T_b] : % 194.44/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.44/194.22 => ~ ! [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)) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_iterate_Osimps,axiom, % 194.44/194.22 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 194.44/194.22 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.44/194.22 => 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) ) % 194.44/194.22 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.44/194.22 => 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)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_scomp__apply,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_scomp__Pair,axiom, % 194.44/194.22 ! [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 ). % 194.44/194.22 % 194.44/194.22 fof(fact_scomp__scomp,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Pair__scomp,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_scomp__def,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_scomp__unfold,axiom, % 194.44/194.22 ! [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))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_setsum__reindex__cong,axiom, % 194.44/194.22 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 194.44/194.22 ( class_Groups_Ocomm__monoid__add(T_d) % 194.44/194.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.44/194.22 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 194.44/194.22 => ( ! [B_a] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 194.44/194.22 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 194.44/194.22 => 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) ) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_setsum__ivl__cong,axiom, % 194.44/194.22 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 194.44/194.22 ( ( class_Groups_Ocomm__monoid__add(T_c) % 194.44/194.22 & class_Orderings_Oord(T_b) ) % 194.44/194.22 => ( V_a_2 = V_c_2 % 194.44/194.22 => ( V_b_2 = V_d_2 % 194.44/194.22 => ( ! [B_x] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 194.44/194.22 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 194.44/194.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_less__eq,axiom, % 194.44/194.22 ! [V_n_2,V_m_2] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 194.44/194.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_wf__eq__minimal,axiom, % 194.44/194.22 ! [V_r_2,T_b] : % 194.44/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.44/194.22 <=> ! [B_Q] : % 194.44/194.22 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 194.44/194.22 => ? [B_x] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 194.44/194.22 & ! [B_y] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_wf__trancl,axiom, % 194.44/194.22 ! [V_r_2,T_b] : % 194.44/194.22 ( c_Wellfounded_Owf(T_b,V_r_2) % 194.44/194.22 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_less__than__def,axiom, % 194.44/194.22 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 194.44/194.22 % 194.44/194.22 fof(fact_acyclic__def,axiom, % 194.44/194.22 ! [V_r_2,T_b] : % 194.44/194.22 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 194.44/194.22 <=> ! [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))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl_Or__into__trancl,axiom, % 194.44/194.22 ! [V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => 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))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__subset__Field2,axiom, % 194.44/194.22 ! [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))))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_r__into__trancl_H,axiom, % 194.44/194.22 ! [V_r_2,V_p_2,T_b] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__empty,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__domain,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__range,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_finite__trancl,axiom, % 194.44/194.22 ! [V_r_2,T_b] : % 194.44/194.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 194.44/194.22 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_r__r__into__trancl,axiom, % 194.44/194.22 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__into__trancl2,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__trans,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__mono,axiom, % 194.44/194.22 ! [V_s_2,V_r_2,V_p_2,T_b] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 194.44/194.22 => ( 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)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__unfold,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__subset__Sigma,axiom, % 194.44/194.22 ! [V_A_2,V_r_2,T_b] : % 194.44/194.22 ( 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)))) % 194.44/194.22 => 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)))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__Int__subset,axiom, % 194.44/194.22 ! [V_s_2,V_r_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ( 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)) % 194.44/194.22 => 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)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__insert,axiom, % 194.44/194.22 ! [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)))))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_reflcl__set__eq,axiom, % 194.44/194.22 ! [V_y_2,V_x_2,V_r_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 <=> 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)))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_r__into__rtrancl,axiom, % 194.44/194.22 ! [V_r_2,V_p_2,T_b] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl_Ortrancl__refl,axiom, % 194.44/194.22 ! [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))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_IdI,axiom, % 194.44/194.22 ! [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))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__into__rtrancl,axiom, % 194.44/194.22 ! [V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => 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))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__rtrancl__absorb,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__trancl__absorb,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_reflcl__trancl,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__reflcl,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__unfold__right,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__unfold__left,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_r__comp__rtrancl__eq,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__idemp__self__comp,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__unfold,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__Int__subset,axiom, % 194.44/194.22 ! [V_r_2,V_s_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ( 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)) % 194.44/194.22 => 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)) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_in__rtrancl__UnI,axiom, % 194.44/194.22 ! [V_S_2,V_R_2,V_x_2,T_b] : % 194.44/194.22 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 194.44/194.22 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 194.44/194.22 => 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)))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Image__closed__trancl,axiom, % 194.44/194.22 ! [V_X_2,V_r_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__Un__subset,axiom, % 194.44/194.22 ! [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)))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__reflcl,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__Un__rtrancl,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__reflcl__absorb,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__subset__rtrancl,axiom, % 194.44/194.22 ! [V_s_2,V_r_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => 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))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__subset,axiom, % 194.44/194.22 ! [V_S_2,V_R_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ( 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))) % 194.44/194.22 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__mono,axiom, % 194.44/194.22 ! [V_s_2,V_r_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => 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))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Range__rtrancl,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_refl__rtrancl,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__idemp,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__trans,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__r__diff__Id,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Domain__rtrancl,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__empty,axiom, % 194.44/194.22 ! [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) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Image__Id,axiom, % 194.44/194.22 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 194.44/194.22 % 194.44/194.22 fof(fact_Id__O__R,axiom, % 194.44/194.22 ! [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 ). % 194.44/194.22 % 194.44/194.22 fof(fact_R__O__Id,axiom, % 194.44/194.22 ! [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 ). % 194.44/194.22 % 194.44/194.22 fof(fact_pair__in__Id__conv,axiom, % 194.44/194.22 ! [V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 <=> V_a_2 = V_b_2 ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__eq__or__trancl,axiom, % 194.44/194.22 ! [V_R_2,V_y_2,V_x_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 <=> ( V_x_2 = V_y_2 % 194.44/194.22 | ( V_x_2 != V_y_2 % 194.44/194.22 & 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))) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__into__trancl2,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtranclD,axiom, % 194.44/194.22 ! [V_R_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( V_a_2 = V_b_2 % 194.44/194.22 | ( V_a_2 != V_b_2 % 194.44/194.22 & 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))) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__into__trancl1,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__rtrancl__trancl,axiom, % 194.44/194.22 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__trancl__trancl,axiom, % 194.44/194.22 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( 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))) % 194.44/194.22 => 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))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Domain__Id,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Range__Id,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_refl__Id,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_pair__leq__def,axiom, % 194.44/194.22 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))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Not__Domain__rtrancl,axiom, % 194.44/194.22 ! [V_y_2,V_R_2,V_x_2,T_b] : % 194.44/194.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 194.44/194.22 => ( 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))) % 194.44/194.22 <=> V_x_2 = V_y_2 ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_acc__downwards__aux,axiom, % 194.44/194.22 ! [V_r_2,V_a_2,V_b_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_acc__downwards,axiom, % 194.44/194.22 ! [V_b_2,V_r_2,V_a_2,T_b] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 194.44/194.22 => ( 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))) % 194.44/194.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_wf__insert,axiom, % 194.44/194.22 ! [V_r_2,V_x_2,V_y_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 194.44/194.22 & ~ 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))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_acyclic__insert,axiom, % 194.44/194.22 ! [V_r_2,V_x_2,V_y_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 194.44/194.22 & ~ 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))) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_refl__reflcl,axiom, % 194.44/194.22 ! [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))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_Id__def,axiom, % 194.44/194.22 ! [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))))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_irrefl__diff__Id,axiom, % 194.44/194.22 ! [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))) ). % 194.44/194.22 % 194.44/194.22 fof(fact_pred__nat__trancl__eq__le,axiom, % 194.44/194.22 ! [V_n_2,V_m_2] : % 194.44/194.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 194.44/194.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_trancl__subset__Sigma__aux,axiom, % 194.44/194.22 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 => ( 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)))) % 194.44/194.22 => ( V_a_2 = V_b_2 % 194.44/194.22 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_irrefl__tranclI,axiom, % 194.44/194.22 ! [V_x_2,V_r_2,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.22 => ~ 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))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_sequence__trans,axiom, % 194.44/194.22 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 194.44/194.22 ( ! [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))) % 194.44/194.22 => 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))) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_rtrancl__converse,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_converse__Id,axiom, % 194.44/194.22 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 194.44/194.22 % 194.44/194.22 fof(fact_converse__rel__comp,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_converse__Un,axiom, % 194.44/194.22 ! [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)) ). % 194.44/194.22 % 194.44/194.22 fof(fact_converse__iff,axiom, % 194.44/194.22 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 194.44/194.22 ( 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))) % 194.44/194.22 <=> 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)) ) ). % 194.44/194.22 % 194.44/194.22 fof(fact_converseI,axiom, % 194.44/194.22 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 194.44/194.22 ( 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)) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converseD,axiom, % 194.44/194.23 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_refl__on__converse,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 194.44/194.23 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converse__Id__on,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_finite__converse,axiom, % 194.44/194.23 ! [V_r_2,T_c,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 194.44/194.23 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converse__converse,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_Field__converse,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converse__inv__image,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converse__Int,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converse__INTER,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converse__UNION,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_acyclic__converse,axiom, % 194.44/194.23 ! [V_r_2,T_b] : % 194.44/194.23 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 194.44/194.23 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_trancl__converse,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_wf__converse__trancl,axiom, % 194.44/194.23 ! [V_r_2,T_b] : % 194.44/194.23 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 194.44/194.23 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_equiv__comp__eq,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.44/194.23 => 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 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Range__converse,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Domain__converse,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Range__def,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__converseD,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__converseI,axiom, % 194.44/194.23 ! [V_r_2,V_x_2,V_y_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_trancl__converseD,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_trancl__converseI,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Image__subset__eq,axiom, % 194.44/194.23 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 <=> 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))))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_refl__on__comp__subset,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_comp__equivI,axiom, % 194.44/194.23 ! [V_A_2,V_r_2,T_b] : % 194.44/194.23 ( 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 % 194.44/194.23 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 194.44/194.23 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_finite__acyclic__wf__converse,axiom, % 194.44/194.23 ! [V_r_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 194.44/194.23 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 194.44/194.23 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converse__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Image__INT__eq,axiom, % 194.44/194.23 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 194.44/194.23 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 194.44/194.23 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_total__on__diff__Id,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valued__Id,axiom, % 194.44/194.23 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valued__Id__on,axiom, % 194.44/194.23 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valued__subset,axiom, % 194.44/194.23 ! [V_s_2,V_r_2,T_c,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 194.44/194.23 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valued__rel__comp,axiom, % 194.44/194.23 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 194.44/194.23 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 194.44/194.23 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_total__on__empty,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_total__on__converse,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 194.44/194.23 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valuedD,axiom, % 194.44/194.23 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 194.44/194.23 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 194.44/194.23 => ( 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)) % 194.44/194.23 => ( 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)) % 194.44/194.23 => V_y_2 = V_z_2 ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valued__def,axiom, % 194.44/194.23 ! [V_r_2,T_c,T_b] : % 194.44/194.23 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 194.44/194.23 <=> ! [B_x,B_y] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ! [B_z] : % 194.44/194.23 ( 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)) % 194.44/194.23 => B_y = B_z ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_total__on__def,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 194.44/194.23 <=> ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.44/194.23 => ! [B_xa] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 194.44/194.23 => ( B_x != B_xa % 194.44/194.23 => ( 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)) % 194.44/194.23 | 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)) ) ) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valued__confluent,axiom, % 194.44/194.23 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 194.44/194.23 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 194.44/194.23 => ( 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))) % 194.44/194.23 => ( 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))) % 194.44/194.23 => ( 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))) % 194.44/194.23 | 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))) ) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Image__Int__eq,axiom, % 194.44/194.23 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 194.44/194.23 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 194.44/194.23 ! [V_R_2,V_p_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_acyclicI,axiom, % 194.44/194.23 ! [V_r_2,T_b] : % 194.44/194.23 ( ! [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))) % 194.44/194.23 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_single__valued__rel__pow,axiom, % 194.44/194.23 ! [V_n_2,V_R_2,T_b] : % 194.44/194.23 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 194.44/194.23 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_comp__funpow,axiom, % 194.44/194.23 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_funpow__mult,axiom, % 194.44/194.23 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_funpow__swap1,axiom, % 194.44/194.23 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_wf__exp,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,T_b] : % 194.44/194.23 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) % 194.44/194.23 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__1,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__commute,axiom, % 194.44/194.23 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__power,axiom, % 194.44/194.23 ! [V_R_2,V_p_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 194.44/194.23 <=> ? [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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__imp__rtrancl,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,V_p_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_relpow_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__add,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_relpow_Osimps_I1_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__0__E,axiom, % 194.44/194.23 ! [V_R_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => V_x_2 = V_y_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__0__I,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__Suc__I,axiom, % 194.44/194.23 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 194.44/194.23 => ( 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)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__Suc__I2,axiom, % 194.44/194.23 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_funpow_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_funpow__add,axiom, % 194.44/194.23 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_funpow_Osimps_I1_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_trancl__power,axiom, % 194.44/194.23 ! [V_R_2,V_p_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 194.44/194.23 <=> ? [B_n] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 194.44/194.23 & 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_funpow__code__def,axiom, % 194.44/194.23 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__E,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 194.44/194.23 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => V_x_2 != V_z_2 ) % 194.44/194.23 => ~ ! [B_y,B_m] : % 194.44/194.23 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 194.44/194.23 => ( 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))) % 194.44/194.23 => ~ 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)) ) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__E2,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 194.44/194.23 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => V_x_2 != V_z_2 ) % 194.44/194.23 => ~ ! [B_y,B_m] : % 194.44/194.23 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 194.44/194.23 => ( 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)) % 194.44/194.23 => ~ 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))) ) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__Un__separator__converseE,axiom, % 194.44/194.23 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 194.44/194.23 => ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) % 194.44/194.23 => ! [B_y] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2)) % 194.44/194.23 => B_y = B_x ) ) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__Un__separatorE,axiom, % 194.44/194.23 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 194.44/194.23 => ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) % 194.44/194.23 => ! [B_y] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2)) % 194.44/194.23 => B_x = B_y ) ) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__Suc__D2,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 194.44/194.23 => ? [B_y] : % 194.44/194.23 ( 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)) % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__Suc__E,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 194.44/194.23 => ~ ! [B_y] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 194.44/194.23 => ~ 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__pow__Suc__E2,axiom, % 194.44/194.23 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 194.44/194.23 => ~ ! [B_y] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tranclD,axiom, % 194.44/194.23 ! [V_R_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ? [B_z] : % 194.44/194.23 ( 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)) % 194.44/194.23 & 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tranclD2,axiom, % 194.44/194.23 ! [V_R_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ? [B_z] : % 194.44/194.23 ( 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))) % 194.44/194.23 & 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_IdE,axiom, % 194.44/194.23 ! [V_p_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 194.44/194.23 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_transfer__nat__int__set__cong,axiom, % 194.44/194.23 ! [V_P_H_2,V_P_2] : % 194.44/194.23 ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 194.44/194.23 => ( hBOOL(hAPP(V_P_2,B_x)) % 194.44/194.23 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 194.44/194.23 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Int__Collect__mono,axiom, % 194.44/194.23 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.44/194.23 => ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.44/194.23 => ( hBOOL(hAPP(V_P_2,B_x)) % 194.44/194.23 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_converseE,axiom, % 194.44/194.23 ! [V_r_2,V_yx_2,T_c,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ~ ! [B_x,B_y] : % 194.44/194.23 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 194.44/194.23 => ~ 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rel__compE,axiom, % 194.44/194.23 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ~ ! [B_x,B_y,B_z] : % 194.44/194.23 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 194.44/194.23 => ( 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)) % 194.44/194.23 => ~ 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)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Oplus__frac__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Otimes__frac__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Oof__frac__def,axiom, % 194.44/194.23 ! [V_q,T_a,T_b] : % 194.44/194.23 ( ( class_Rings_Oinverse(T_b) % 194.44/194.23 & class_Rings_Oring__1(T_b) ) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Oless__frac__def,axiom, % 194.44/194.23 ! [V_r_2,V_q_2,T_b] : % 194.44/194.23 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 194.44/194.23 <=> 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 194.44/194.23 ! [V_r_2,V_q_2,T_b] : % 194.44/194.23 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 194.44/194.23 <=> 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Onum__def,axiom, % 194.44/194.23 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Odenom__def,axiom, % 194.44/194.23 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_internal__split__def,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_bool_Osize_I1_J,axiom, % 194.44/194.23 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.44/194.23 % 194.44/194.23 fof(fact_internal__split__conv,axiom, % 194.44/194.23 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_bool_Osize_I2_J,axiom, % 194.44/194.23 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.44/194.23 % 194.44/194.23 fof(fact_finite__less__ub,axiom, % 194.44/194.23 ! [V_u_2,V_f_2] : % 194.44/194.23 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 194.44/194.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_f_2)),V_u_2)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lenlex__def,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexn__length,axiom, % 194.44/194.23 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2))) % 194.44/194.23 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 194.44/194.23 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_neq__if__length__neq,axiom, % 194.44/194.23 ! [V_ys,V_xs,T_a] : % 194.44/194.23 ( 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) % 194.44/194.23 => V_xs != V_ys ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lenlex__conv,axiom, % 194.44/194.23 ! [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)))))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__sublist,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexn_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_impossible__Cons,axiom, % 194.44/194.23 ! [V_x,V_ys,V_xs,T_a] : % 194.44/194.23 ( 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))) % 194.44/194.23 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_not__Cons__self,axiom, % 194.44/194.23 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 194.44/194.23 % 194.44/194.23 fof(fact_not__Cons__self2,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Oinject,axiom, % 194.44/194.23 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> ( V_a_2 = V_a_H_2 % 194.44/194.23 & V_list_2 = V_list_H_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osize_I4_J,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Cons__in__lex,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( ( 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)) % 194.44/194.23 & 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) ) % 194.44/194.23 | ( V_x_2 = V_y_2 % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__Cons__def,axiom, % 194.44/194.23 ! [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)))))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_pick_Osimps,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a,V_i] : % 194.44/194.23 ( ( 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))) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( ~ 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))) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_select__weight__cons__zero,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__cons__cons,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( 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)) % 194.44/194.23 | ( V_a_2 = V_b_2 % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__lex,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 & 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osize_I2_J,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Cons__acc__listrel1I,axiom, % 194.44/194.23 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 194.44/194.23 => ( 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)))) % 194.44/194.23 => 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)))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1__mono,axiom, % 194.44/194.23 ! [V_s_2,V_r_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1__converse,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 194.44/194.23 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1I2,axiom, % 194.44/194.23 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__listrel1__eq__len,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1__eq__len,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__listrel1__converse,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Cons__listrel1__Cons,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( ( 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)) % 194.44/194.23 & V_xs_2 = V_ys_2 ) % 194.44/194.23 | ( V_x_2 = V_y_2 % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1I1,axiom, % 194.44/194.23 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__Cons,axiom, % 194.44/194.23 ! [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))))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__linear,axiom, % 194.44/194.23 ! [V_y_2,V_x_2,V_r_2,T_b] : % 194.44/194.23 ( ! [B_a,B_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 | B_a = B_b % 194.44/194.23 | 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)) ) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 | V_x_2 = V_y_2 % 194.44/194.23 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__rtrancl__refl,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__mono,axiom, % 194.44/194.23 ! [V_s_2,V_r_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__eq__len,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__rtrancl__trans,axiom, % 194.44/194.23 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__reflcl__if__listrel1,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1__subset__listrel,axiom, % 194.44/194.23 ! [V_r_H_2,V_r_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel_OCons,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrelp__listrel__eq,axiom, % 194.44/194.23 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__Cons1,axiom, % 194.44/194.23 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => ~ ! [B_y,B_ys] : % 194.44/194.23 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 194.44/194.23 => ( 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)) % 194.44/194.23 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrelp_OCons,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 194.44/194.23 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrelp_Oequations_I2_J,axiom, % 194.44/194.23 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 194.44/194.23 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__Cons2,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => ~ ! [B_x,B_xs] : % 194.44/194.23 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 194.44/194.23 => ( 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)) % 194.44/194.23 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__subset,axiom, % 194.44/194.23 ! [V_A_2,V_r_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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))))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__UNIV,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__mono,axiom, % 194.44/194.23 ! [V_B_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_equiv__listrel,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__refl__on,axiom, % 194.44/194.23 ! [V_r_2,V_A_2,T_b] : % 194.44/194.23 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Cons__in__lists__iff,axiom, % 194.44/194.23 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__accI,axiom, % 194.44/194.23 ! [V_r_2,V_xs_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__accD,axiom, % 194.44/194.23 ! [V_r_2,V_xs_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__iff__nth,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( 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) % 194.44/194.23 & ! [B_n] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__irreflexive,axiom, % 194.44/194.23 ! [V_y_2,V_r_2,T_b] : % 194.44/194.23 ( ! [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)) % 194.44/194.23 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_infinite__UNIV__listI,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__eq__iff__nth__eq,axiom, % 194.44/194.23 ! [T_b,V_ys_2,V_xs_2] : % 194.44/194.23 ( V_xs_2 = V_ys_2 % 194.44/194.23 <=> ( 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) % 194.44/194.23 & ! [B_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__Cons__0,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__Cons__Suc,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth_Osimps,axiom, % 194.44/194.23 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__Cons_H,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a,V_n] : % 194.44/194.23 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 194.44/194.23 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__Cons__number__of,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a,V_v] : % 194.44/194.23 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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 ) % 194.44/194.23 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__take__index__conv,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( ( 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))) % 194.44/194.23 & 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 ) % 194.44/194.23 | ? [B_i] : % 194.44/194.23 ( 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)))) % 194.44/194.23 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 194.44/194.23 & 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)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__sublist,axiom, % 194.44/194.23 ! [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))))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_finite__set,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__subset__Cons,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__all,axiom, % 194.44/194.23 ! [V_n,V_xs,T_a] : % 194.44/194.23 ( 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)) % 194.44/194.23 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__take__subset,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__take__subset__set__take,axiom, % 194.44/194.23 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__sublist__subset,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__take,axiom, % 194.44/194.23 ! [V_xs,T_a,V_n,V_i] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_notin__set__sublistI,axiom, % 194.44/194.23 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => ~ 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__takeD,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__sublistD,axiom, % 194.44/194.23 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__ConsD,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => ( V_y_2 = V_x_2 % 194.44/194.23 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__Suc__Cons,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__take,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__take,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sublist__upt__eq__take,axiom, % 194.44/194.23 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_List_Oset_Osimps_I2_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_card__length,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_all__set__conv__all__nth,axiom, % 194.44/194.23 ! [V_P_2,V_xs_2,T_b] : % 194.44/194.23 ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.44/194.23 <=> ! [B_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__size__estimation,axiom, % 194.44/194.23 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__size__estimation_H,axiom, % 194.44/194.23 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__lists__conv__set,axiom, % 194.44/194.23 ! [V_A_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 194.44/194.23 <=> ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__pos__if__in__set,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__mem,axiom, % 194.44/194.23 ! [V_xs_2,T_b,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__conv__nth,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 <=> ? [B_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__eq__set,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__conv__nth,axiom, % 194.44/194.23 ! [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))))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_finite__lists__length__eq,axiom, % 194.44/194.23 ! [V_n_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_finite__lists__length__le,axiom, % 194.44/194.23 ! [V_n_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__iff__zip,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( 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) % 194.44/194.23 & ! [B_x] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__zip,axiom, % 194.44/194.23 ! [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)))))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__zip,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__zip,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__Cons__Cons,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__eq__iff__zip__eq,axiom, % 194.44/194.23 ! [T_b,V_ys_2,V_xs_2] : % 194.44/194.23 ( V_xs_2 = V_ys_2 % 194.44/194.23 <=> ( 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) % 194.44/194.23 & ! [B_x] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__zipE,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__zip__rightD,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__zip__leftD,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__same,axiom, % 194.44/194.23 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 & V_a_2 = V_b_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__zip,axiom, % 194.44/194.23 ! [V_ys,T_b,V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( 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))) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_greaterThanLessThan__upto,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__setsum__nth,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 194.44/194.23 ! [V_ns_2] : % 194.44/194.23 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 <=> ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 194.44/194.23 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__upto,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_atLeastAtMost__upto,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_elem__le__listsum__nat,axiom, % 194.44/194.23 ! [V_ns,V_k] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__simps_I2_J,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a] : % 194.44/194.23 ( class_Groups_Omonoid__add(T_a) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_atLeastLessThan__upto,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_greaterThanAtMost__upto,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nat__list__def,axiom, % 194.44/194.23 ! [V_l_2] : % 194.44/194.23 ( c_List_Onat__list(V_l_2) % 194.44/194.23 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__size__pointwise,axiom, % 194.44/194.23 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 194.44/194.23 ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__update__nat,axiom, % 194.44/194.23 ! [V_n,V_ns,V_k] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast__take,axiom, % 194.44/194.23 ! [V_xs,T_a,V_n] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__beyond,axiom, % 194.44/194.23 ! [V_x,V_i,V_xs,T_a] : % 194.44/194.23 ( 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)) % 194.44/194.23 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__list__update__neq,axiom, % 194.44/194.23 ! [V_x,V_xs,T_a,V_j,V_i] : % 194.44/194.23 ( V_i != V_j % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__id,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__list__update,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast__list__update,axiom, % 194.44/194.23 ! [V_x,V_xs,T_a,V_k] : % 194.44/194.23 ( ( 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)) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( 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)) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__update,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_update__zip,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__overwrite,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__swap,axiom, % 194.44/194.23 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 194.44/194.23 ( V_i != V_i_H % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__code_I2_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__code_I3_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update_Osimps_I2_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__butlastD,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__update__subsetI,axiom, % 194.44/194.23 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__update__subset__insert,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__list__update__eq,axiom, % 194.44/194.23 ! [V_x,V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__same__conv,axiom, % 194.44/194.23 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 194.44/194.23 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__list__update,axiom, % 194.44/194.23 ! [V_x,V_j,V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( ( V_i = V_j % 194.44/194.23 => 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 ) % 194.44/194.23 & ( V_i != V_j % 194.44/194.23 => 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) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__butlast,axiom, % 194.44/194.23 ! [V_xs,T_a,V_n] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__butlast,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__update__memI,axiom, % 194.44/194.23 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast__conv__take,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1__iff__update,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ? [B_y,B_n] : % 194.44/194.23 ( 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)) % 194.44/194.23 & 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))) % 194.44/194.23 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__list__update,axiom, % 194.44/194.23 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => ( ~ 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)))))) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__upto,axiom, % 194.44/194.23 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__take,axiom, % 194.44/194.23 ! [V_i,V_xs,T_a] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__sublistI,axiom, % 194.44/194.23 ! [V_I_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__zipI1,axiom, % 194.44/194.23 ! [V_ys,T_b,V_xs,T_a] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__zipI2,axiom, % 194.44/194.23 ! [V_xs,T_b,V_ys,T_a] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 194.44/194.23 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__card,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_card__distinct,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__eq__iff__index__eq,axiom, % 194.44/194.23 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => ( 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))) % 194.44/194.23 => ( 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))) % 194.44/194.23 => ( 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) % 194.44/194.23 <=> V_i_2 = V_j_2 ) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__conv__nth,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 <=> ! [B_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ! [B_j] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( B_i != B_j % 194.44/194.23 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__listsum__conv__Setsum,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_b) % 194.44/194.23 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Ocard_H__def,axiom, % 194.44/194.23 ! [V_A_2,T_b] : % 194.44/194.23 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => 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)))) ) % 194.44/194.23 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__take__lemma,axiom, % 194.44/194.23 ! [V_ys,V_xs,T_a,V_k] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( 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))) % 194.44/194.23 => ( ! [B_i] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 194.44/194.23 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 194.44/194.23 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__remove1__eq,axiom, % 194.44/194.23 ! [V_x_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__Cons__number__of,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a,V_v] : % 194.44/194.23 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists_ONil,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__Nil2,axiom, % 194.44/194.23 ! [V_r_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__Nil1,axiom, % 194.44/194.23 ! [V_r_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__butlast,axiom, % 194.44/194.23 ! [T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__remove1,axiom, % 194.44/194.23 ! [V_x,V_xs,T_a] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct_Osimps_I1_J,axiom, % 194.44/194.23 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast_Osimps_I1_J,axiom, % 194.44/194.23 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_x,T_a,V_xs] : % 194.44/194.23 ( ( V_xs = c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 194.44/194.23 & ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osimps_I2_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osimps_I3_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_remove1_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_xs,T_a,V_y,V_x] : % 194.44/194.23 ( ( V_x = V_y % 194.44/194.23 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 194.44/194.23 & ( V_x != V_y % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_upto__empty,axiom, % 194.44/194.23 ! [V_i,V_j] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 194.44/194.23 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__0,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__eq__Nil,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 194.44/194.23 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__Nil,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osize_I1_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sublist__nil,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_remove1__commute,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_remove1_Osimps_I1_J,axiom, % 194.44/194.23 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrelp_Oequations_I1_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrelp_ONil,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__Nil,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip_Osimps_I1_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__simps_I1_J,axiom, % 194.44/194.23 ! [T_a] : % 194.44/194.23 ( class_Groups_Omonoid__add(T_a) % 194.44/194.23 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osize_I3_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__0__conv,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_List_Oset_Osimps_I1_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__empty2,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__empty,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__code_I1_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update_Osimps_I1_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__nonempty,axiom, % 194.44/194.23 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_remove1__idem,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_notin__set__remove1,axiom, % 194.44/194.23 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => ~ 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__remove1,axiom, % 194.44/194.23 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 194.44/194.23 ( V_a_2 != V_b_2 % 194.44/194.23 => ( 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)))) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sublist__empty,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__remove1__subset,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__greater__0__conv,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__1__Cons,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_not__listrel1__Nil,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_not__Nil__listrel1,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel_ONil,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__Nil__right,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nil2__notin__lex,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nil__notin__lex,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__Cons,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_upto_Osimps,axiom, % 194.44/194.23 ! [V_j,V_i] : % 194.44/194.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 194.44/194.23 => 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)) ) % 194.44/194.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 194.44/194.23 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sublist__singleton,axiom, % 194.44/194.23 ! [V_x_2,T_b,V_A_2] : % 194.44/194.23 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 194.44/194.23 => 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)) ) % 194.44/194.23 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__empty,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__Cons_H,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a,V_n] : % 194.44/194.23 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_upto__rec__number__of,axiom, % 194.44/194.23 ! [V_n,V_m] : % 194.44/194.23 ( ( 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))) % 194.44/194.23 => 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))) ) % 194.44/194.23 & ( ~ 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))) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel__Nil,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__Cons__sing__Nil,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__remove1,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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)) ) % 194.44/194.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_upto_Opsimps,axiom, % 194.44/194.23 ! [V_j_2,V_i_2] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 194.44/194.23 => 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)) ) % 194.44/194.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 194.44/194.23 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_select,axiom, % 194.44/194.23 ! [V_s_2,T_b,V_xs_2] : % 194.44/194.23 ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listset_Osimps_I1_J,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__Cons1,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osimps_I5_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list_Osimps_I4_J,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_listset_Osimps_I2_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__Cons,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sorted__list__of__set__remove,axiom, % 194.44/194.23 ! [V_x_2,V_A_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_upto_Opinduct,axiom, % 194.44/194.23 ! [V_P_2,V_a1_2,V_a0_2] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( ! [B_i,B_j] : % 194.44/194.23 ( 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))) % 194.44/194.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 194.44/194.23 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 194.44/194.23 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) % 194.44/194.23 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sorted__list__of__set__empty,axiom, % 194.44/194.23 ! [T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_anamorph_Osimps,axiom, % 194.44/194.23 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 194.44/194.23 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.44/194.23 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) ) % 194.44/194.23 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.44/194.23 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sublist__Cons,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__eq__Cons__conv,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 194.44/194.23 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 194.44/194.23 | ? [B_ys_H] : % 194.44/194.23 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 194.44/194.23 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Cons__eq__append__conv,axiom, % 194.44/194.23 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 194.44/194.23 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 194.44/194.23 | ? [B_ys_H] : % 194.44/194.23 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 194.44/194.23 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append1__eq__conv,axiom, % 194.44/194.23 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 <=> ( V_xs_2 = V_ys_2 % 194.44/194.23 & V_x_2 = V_y_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__Cons,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Cons__eq__appendI,axiom, % 194.44/194.23 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 194.44/194.23 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 194.44/194.23 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 194.44/194.23 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__in__lists__conv,axiom, % 194.44/194.23 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__eq__appendI,axiom, % 194.44/194.23 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 194.44/194.23 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 194.44/194.23 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 194.44/194.23 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__same__eq,axiom, % 194.44/194.23 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> V_ys_2 = V_zs_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_same__append__eq,axiom, % 194.44/194.23 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> V_ys_2 = V_zs_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__eq__append__conv2,axiom, % 194.44/194.23 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_tsa_2) % 194.44/194.23 <=> ? [B_us] : % 194.44/194.23 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 194.44/194.23 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 ) % 194.44/194.23 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 194.44/194.23 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__assoc,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__append,axiom, % 194.44/194.23 ! [V_ys,V_xs,T_a] : % 194.44/194.23 ( class_Groups_Omonoid__add(T_a) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__append,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__append,axiom, % 194.44/194.23 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 194.44/194.23 ( 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) % 194.44/194.23 => ( 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) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__append,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__Nil,axiom, % 194.44/194.23 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nil__is__append__conv,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 194.44/194.23 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 194.44/194.23 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__Nil2,axiom, % 194.44/194.23 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 194.44/194.23 % 194.44/194.23 fof(fact_self__append__conv,axiom, % 194.44/194.23 ! [V_ys_2,T_b,V_xs_2] : % 194.44/194.23 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 194.44/194.23 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_self__append__conv2,axiom, % 194.44/194.23 ! [V_xs_2,T_b,V_ys_2] : % 194.44/194.23 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__is__Nil__conv,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 194.44/194.23 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 194.44/194.23 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__self__conv,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 194.44/194.23 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__self__conv2,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_eq__Nil__appendI,axiom, % 194.44/194.23 ! [T_a,V_ys,V_xs] : % 194.44/194.23 ( V_xs = V_ys % 194.44/194.23 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast__append,axiom, % 194.44/194.23 ! [V_xs,T_a,V_ys] : % 194.44/194.23 ( ( V_ys = c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 194.44/194.23 & ( V_ys != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__append__length,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__append__length__plus,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__append,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__append1,axiom, % 194.44/194.23 ! [V_x,V_ys,V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__length,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_remove1__append,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__butlast__appendI,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 194.44/194.23 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 194.44/194.23 => 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))))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast__snoc,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__listrel1I,axiom, % 194.44/194.23 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 & V_us_2 = V_vs_2 ) % 194.44/194.23 | ( V_xs_2 = V_ys_2 % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__append__leftI,axiom, % 194.44/194.23 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__append,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 194.44/194.23 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 194.44/194.23 & 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__append,axiom, % 194.44/194.23 ! [V_ys,V_xs,T_a,V_n] : % 194.44/194.23 ( ( 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))) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( ~ 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))) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__update__append,axiom, % 194.44/194.23 ! [V_x,V_ys,V_xs,T_a,V_n] : % 194.44/194.23 ( ( 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))) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( ~ 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))) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sublist__append,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1I,axiom, % 194.44/194.23 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ( 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)) % 194.44/194.23 => ( 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)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__append__left__rightI,axiom, % 194.44/194.23 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__Suc__conv__app__nth,axiom, % 194.44/194.23 ! [V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_snoc__listrel1__snoc__iff,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 & V_x_2 = V_y_2 ) % 194.44/194.23 | ( V_xs_2 = V_ys_2 % 194.44/194.23 & 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)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listrel1E,axiom, % 194.44/194.23 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => ~ ! [B_x,B_y] : % 194.44/194.23 ( 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)) % 194.44/194.23 => ! [B_us,B_vs] : % 194.44/194.23 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 194.44/194.23 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__append__leftD,axiom, % 194.44/194.23 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 => ( ! [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)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate1__def,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_upd__conv__take__nth__drop,axiom, % 194.44/194.23 ! [V_a,V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__take__drop__id,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__Suc__Cons,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__1__Cons,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__via__drop,axiom, % 194.44/194.23 ! [V_ys,V_y,V_xs,V_n,T_a] : % 194.44/194.23 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 194.44/194.23 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__drop,axiom, % 194.44/194.23 ! [V_i,V_xs,T_a] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct1__rotate,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 194.44/194.23 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_butlast__drop,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__butlast,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__drop,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__take,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__0,axiom, % 194.44/194.23 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__drop,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__zip,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__drop,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__rotate1,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__rotate1,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__set__dropD,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__drop__subset,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__Nil,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate1__is__Nil__conv,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__drop__subset__set__drop,axiom, % 194.44/194.23 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__eq__Nil,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__all,axiom, % 194.44/194.23 ! [V_n,V_xs,T_a] : % 194.44/194.23 ( 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)) % 194.44/194.23 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__append,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__eq__conv__conj,axiom, % 194.44/194.23 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 194.44/194.23 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 194.44/194.23 <=> ( 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) % 194.44/194.23 & 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__Cons,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__Cons_H,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a,V_n] : % 194.44/194.23 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__drop,axiom, % 194.44/194.23 ! [V_xs,T_a,V_i,V_n] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__eq__append__conv__if,axiom, % 194.44/194.23 ! [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] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> ( ( 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))) % 194.44/194.23 => ( 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) % 194.44/194.23 & 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) ) ) % 194.44/194.23 & ( ~ 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))) % 194.44/194.23 => ( 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 % 194.44/194.23 & 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 ) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__drop_H,axiom, % 194.44/194.23 ! [V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__simps,axiom, % 194.44/194.23 ! [V_xs,V_x,T_b,T_a] : % 194.44/194.23 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 194.44/194.23 & 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__Cons__number__of,axiom, % 194.44/194.23 ! [V_xs,V_x,T_a,V_v] : % 194.44/194.23 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__add,axiom, % 194.44/194.23 ! [V_xs,T_a,V_j,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate1__length01,axiom, % 194.44/194.23 ! [V_xs,T_a] : % 194.44/194.23 ( 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))) % 194.44/194.23 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__append1,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__append2,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_id__take__nth__drop,axiom, % 194.44/194.23 ! [V_xs,T_a,V_i] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__hd__drop,axiom, % 194.44/194.23 ! [V_xs,T_a,V_n] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd__drop__conv__nth,axiom, % 194.44/194.23 ! [V_n,T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => ( 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))) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd_Osimps,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd__append2,axiom, % 194.44/194.23 ! [V_ys,T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd__append,axiom, % 194.44/194.23 ! [V_ys,T_a,V_xs] : % 194.44/194.23 ( ( V_xs = c_List_Olist_ONil(T_a) % 194.44/194.23 => 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) ) % 194.44/194.23 & ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd__in__set,axiom, % 194.44/194.23 ! [T_b,V_xs_2] : % 194.44/194.23 ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd__conv__nth,axiom, % 194.44/194.23 ! [T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate1__hd__tl,axiom, % 194.44/194.23 ! [T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd__rotate__conv__nth,axiom, % 194.44/194.23 ! [V_n,T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__tl,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tl__drop,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tl_Osimps_I2_J,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__tl,axiom, % 194.44/194.23 ! [V_xs,T_a] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.23 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__rotate,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 194.44/194.23 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate0,axiom, % 194.44/194.23 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__rotate,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__add,axiom, % 194.44/194.23 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__rotate,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__rotate,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tl_Osimps_I1_J,axiom, % 194.44/194.23 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__is__Nil__conv,axiom, % 194.44/194.23 ! [V_xs_2,V_n_2,T_b] : % 194.44/194.23 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate1__rotate__swap,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__def,axiom, % 194.44/194.23 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tl__append2,axiom, % 194.44/194.23 ! [V_ys,T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__tl,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__conv__mod,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__Suc,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__Suc,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tl__append,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__id,axiom, % 194.44/194.23 ! [V_xs,T_a,V_n] : % 194.44/194.23 ( 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) % 194.44/194.23 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__length01,axiom, % 194.44/194.23 ! [V_n,V_xs,T_a] : % 194.44/194.23 ( 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))) % 194.44/194.23 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__tl,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_tl__take,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__Suc,axiom, % 194.44/194.23 ! [V_n,T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__drop__take,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_fold1__set,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 194.44/194.23 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__append__rightI,axiom, % 194.44/194.23 ! [V_r_2,V_x_2,T_b,V_y_2] : % 194.44/194.23 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_foldl__Nil,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_start__le__sum,axiom, % 194.44/194.23 ! [V_ns_2,V_n_2,V_m_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_foldl__assoc,axiom, % 194.44/194.23 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( class_Groups_Osemigroup__add(T_b) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_foldl__absorb0,axiom, % 194.44/194.23 ! [V_zs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Groups_Omonoid__add(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_foldl__Cons,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_foldl__append,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__foldl,axiom, % 194.44/194.23 ! [T_b] : % 194.44/194.23 ( class_Groups_Omonoid__add(T_b) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sum__eq__0__conv,axiom, % 194.44/194.23 ! [V_ns_2,V_m_2] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.23 & ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 194.44/194.23 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 194.44/194.23 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Sup__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Inf__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Sup__fin__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Lattices_Olattice(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Inf__fin__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Lattices_Olattice(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Min__fin__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Max__fin__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_min__max_OInf__fin__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_min__max_OSup__fin__set__fold,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_SUPR__set__fold,axiom, % 194.44/194.23 ! [V_f_2,V_xs_2,T_c,T_b] : % 194.44/194.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_INFI__set__fold,axiom, % 194.44/194.23 ! [V_f_2,V_xs_2,T_c,T_b] : % 194.44/194.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_elem__le__sum,axiom, % 194.44/194.23 ! [V_ns_2,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_sorted__list__of__set__insert,axiom, % 194.44/194.23 ! [V_x_2,V_A_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => 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)))))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lexord__Nil__left,axiom, % 194.44/194.23 ! [V_r_2,V_y_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.44/194.23 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__key_Osimps_I1_J,axiom, % 194.44/194.23 ! [V_x_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( class_Orderings_Olinorder(T_c) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__key_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( ( 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))) % 194.44/194.23 => 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)) ) % 194.44/194.23 & ( ~ 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))) % 194.44/194.23 => 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)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__key__left__comm,axiom, % 194.44/194.23 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_fun__left__comm__insort,axiom, % 194.44/194.23 ! [T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__left__comm,axiom, % 194.44/194.23 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__insort,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( class_Orderings_Olinorder(T_c) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__insort,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( class_Orderings_Olinorder(T_c) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_remove1__insort,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__not__Nil,axiom, % 194.44/194.23 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( class_Orderings_Olinorder(T_c) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__insort,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( class_Orderings_Olinorder(T_c) % 194.44/194.23 => ( 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))) % 194.44/194.23 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__insert__insort__key,axiom, % 194.44/194.23 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( ~ 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)))) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__insert__insort,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__insort__insert,axiom, % 194.44/194.23 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 194.44/194.23 ( class_Orderings_Olinorder(T_c) % 194.44/194.23 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => 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))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__insert__triv,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__insort__insert,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_insort__insert__key__triv,axiom, % 194.44/194.23 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 194.44/194.23 ( class_Orderings_Olinorder(T_b) % 194.44/194.23 => ( 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)))) % 194.44/194.23 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__list__update,axiom, % 194.44/194.23 ! [V_x,V_k,T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => ( ( 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)) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 194.44/194.23 & ( 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)) % 194.44/194.23 => 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) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__conv__nth,axiom, % 194.44/194.23 ! [T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__ConsL,axiom, % 194.44/194.23 ! [V_x,T_a,V_xs] : % 194.44/194.23 ( V_xs = c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__ConsR,axiom, % 194.44/194.23 ! [V_x,T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last_Osimps,axiom, % 194.44/194.23 ! [V_x,T_a,V_xs] : % 194.44/194.23 ( ( V_xs = c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 194.44/194.23 & ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__appendL,axiom, % 194.44/194.23 ! [V_xs,T_a,V_ys] : % 194.44/194.23 ( V_ys = c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__appendR,axiom, % 194.44/194.23 ! [V_xs,T_a,V_ys] : % 194.44/194.23 ( V_ys != c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__append,axiom, % 194.44/194.23 ! [V_xs,T_a,V_ys] : % 194.44/194.23 ( ( V_ys = c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 194.44/194.23 & ( V_ys != c_List_Olist_ONil(T_a) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__in__set,axiom, % 194.44/194.23 ! [T_b,V_as_2] : % 194.44/194.23 ( V_as_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__snoc,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__drop,axiom, % 194.44/194.23 ! [V_xs,T_a,V_n] : % 194.44/194.23 ( 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))) % 194.44/194.23 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__butlast__last__id,axiom, % 194.44/194.23 ! [T_a,V_xs] : % 194.44/194.23 ( V_xs != c_List_Olist_ONil(T_a) % 194.44/194.23 => 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 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_snoc__eq__iff__butlast,axiom, % 194.44/194.23 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 194.44/194.23 ( 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 % 194.44/194.23 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 194.44/194.23 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists_Osimps,axiom, % 194.44/194.23 ! [V_A_2,V_a_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 194.44/194.23 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 194.44/194.23 | ? [B_a,B_l] : % 194.44/194.23 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 194.44/194.23 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_select__weigth__select,axiom, % 194.44/194.23 ! [T_b,V_xs_2] : % 194.44/194.23 ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_inj__mapI,axiom, % 194.44/194.23 ! [V_f_2,T_c,T_b] : % 194.44/194.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_last__map,axiom, % 194.44/194.23 ! [V_f_2,T_c,T_b,V_xs_2] : % 194.44/194.23 ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nth__map,axiom, % 194.44/194.23 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 194.44/194.23 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__fun__upd,axiom, % 194.44/194.23 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 194.44/194.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_foldl__map,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_rotate__map,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__tl,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__same__conv__map,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__map2,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__zip__map2,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__zip__map,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__map1,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__map__map,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__is__Nil__conv,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map_Osimps_I1_J,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nil__is__map__conv,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 194.44/194.23 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__update,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__eq__conv,axiom, % 194.44/194.23 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( 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) % 194.44/194.23 <=> ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 194.44/194.23 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_length__map,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__eq__imp__length__eq,axiom, % 194.44/194.23 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( 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) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__subtractf,axiom, % 194.44/194.23 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( class_Groups_Oab__group__add(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__addf,axiom, % 194.44/194.23 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__mult__const,axiom, % 194.44/194.23 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( class_Rings_Osemiring__0(T_b) % 194.44/194.23 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__const__mult,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 194.44/194.23 ( class_Rings_Osemiring__0(T_b) % 194.44/194.23 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__0,axiom, % 194.44/194.23 ! [V_xs_2,T_c,T_b] : % 194.44/194.23 ( class_Groups_Omonoid__add(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__injective,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( 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) % 194.44/194.23 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.44/194.23 => V_xs_2 = V_ys_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_inj__map__eq__map,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.44/194.23 => ( 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) % 194.44/194.23 <=> V_xs_2 = V_ys_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__ident,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 194.44/194.23 % 194.44/194.23 fof(fact_take__map,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__butlast,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_set__map,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map_Osimps_I2_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__append,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_hd__map,axiom, % 194.44/194.23 ! [V_f_2,T_c,T_b,V_xs_2] : % 194.44/194.23 ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.44/194.23 => 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_drop__map,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_List_Omap_Oid,axiom, % 194.44/194.23 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_List_Omap_Oidentity,axiom, % 194.44/194.23 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_List_Omap_Ocomp,axiom, % 194.44/194.23 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__comp__map,axiom, % 194.44/194.23 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_List_Omap_Ocompositionality,axiom, % 194.44/194.23 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__map,axiom, % 194.44/194.23 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__size__map,axiom, % 194.44/194.23 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ). % 194.44/194.23 % 194.44/194.23 fof(fact_inj__on__map__eq__map,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 194.44/194.23 => ( 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) % 194.44/194.23 <=> V_xs_2 = V_ys_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__inj__on,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.23 ( 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) % 194.44/194.23 => ( 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))) % 194.44/194.23 => V_xs_2 = V_ys_2 ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_distinct__map,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 194.44/194.23 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 194.44/194.23 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__abs,axiom, % 194.44/194.23 ! [V_xs_2,T_b] : % 194.44/194.23 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_uminus__listsum__map,axiom, % 194.44/194.23 ! [V_xs_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( class_Groups_Oab__group__add(T_b) % 194.44/194.23 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_inj__on__mapI,axiom, % 194.44/194.23 ! [V_A_2,V_f_2,T_c,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_inj__map,axiom, % 194.44/194.23 ! [V_f_2,T_c,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_inj__mapD,axiom, % 194.44/194.23 ! [V_f_2,T_c,T_b] : % 194.44/194.23 ( 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))) % 194.44/194.23 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 194.44/194.23 ! [V_f_2,V_xs_2,T_b,T_c] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_c) % 194.44/194.23 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__triv,axiom, % 194.44/194.23 ! [V_xs_2,V_r_2,T_c,T_b] : % 194.44/194.23 ( class_Rings_Osemiring__1(T_b) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__map__remove1,axiom, % 194.44/194.23 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_c) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => 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)))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Nitpick_Osetsum_H__def,axiom, % 194.44/194.23 ! [V_f_2,V_A_2,T_b,T_c] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_c) % 194.44/194.23 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => 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))))) ) % 194.44/194.23 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.44/194.23 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_pick__same,axiom, % 194.44/194.23 ! [V_xs_2,T_b,V_l_2] : % 194.44/194.23 ( 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))) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_code__numeral_Oof__nat__inject,axiom, % 194.44/194.23 ! [V_y_2,V_x_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 194.44/194.23 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 194.44/194.23 <=> V_x_2 = V_y_2 ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zero__code__numeral__def,axiom, % 194.44/194.23 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 194.44/194.23 ! [V_m_2,V_n_2] : % 194.44/194.23 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 194.44/194.23 <=> V_n_2 = V_m_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 194.44/194.23 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 194.44/194.23 % 194.44/194.23 fof(fact_times__code__numeral__code,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_less__code__numeral__code,axiom, % 194.44/194.23 ! [V_m_2,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_one__code__numeral__def,axiom, % 194.44/194.23 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__fst__zip,axiom, % 194.44/194.23 ! [V_ys_2,T_c,V_xs_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 => 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 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_map__snd__zip,axiom, % 194.44/194.23 ! [V_ys_2,T_c,V_xs_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 => 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 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_number__of__code__numeral__def,axiom, % 194.44/194.23 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__map__fst__snd,axiom, % 194.44/194.23 ! [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 ). % 194.44/194.23 % 194.44/194.23 fof(fact_plus__code__numeral__code,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_less__eq__code__numeral__code,axiom, % 194.44/194.23 ! [V_m_2,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_subtract__code__numeral__code,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_pick__member,axiom, % 194.44/194.23 ! [V_xs_2,T_b,V_i_2] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_zip__eq__conv,axiom, % 194.44/194.23 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 194.44/194.23 ( 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) % 194.44/194.23 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 194.44/194.23 <=> ( 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 % 194.44/194.23 & 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 ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_list__size__conv__listsum,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_code__numeral__not__eq__zero,axiom, % 194.44/194.23 ! [V_i_2] : % 194.44/194.23 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.44/194.23 <=> 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)) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 194.44/194.23 ! [V_l_2,V_k_2,V_f_2,T_b] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 194.44/194.23 ! [V_j_2,V_i_2,V_f_2,T_b] : % 194.44/194.23 ( class_Groups_Ocomm__monoid__add(T_b) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_select__weight__member,axiom, % 194.44/194.23 ! [V_s_2,V_xs_2,T_b] : % 194.44/194.23 ( 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)))) % 194.44/194.23 => 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)))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_select__weight__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_select__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsum__mono,axiom, % 194.44/194.23 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 194.44/194.23 ( ( class_Groups_Omonoid__add(T_c) % 194.44/194.23 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 194.44/194.23 => ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 194.44/194.23 => 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)))) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nat__of__inverse,axiom, % 194.44/194.23 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 194.44/194.23 % 194.44/194.23 fof(fact_of__nat__nat__of,axiom, % 194.44/194.23 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 194.44/194.23 % 194.44/194.23 fof(fact_nat__of__of__nat,axiom, % 194.44/194.23 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 194.44/194.23 % 194.44/194.23 fof(fact_times__code__numeral__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 194.44/194.23 ! [V_l_2,V_k_2] : % 194.44/194.23 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 194.44/194.23 <=> V_k_2 = V_l_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_code__numeral_Onat__of__inject,axiom, % 194.44/194.23 ! [V_y_2,V_x_2] : % 194.44/194.23 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 194.44/194.23 <=> V_x_2 = V_y_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_type__definition__code__numeral,axiom, % 194.44/194.23 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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_less__code__numeral__def,axiom, % 194.44/194.23 ! [V_m_2,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nat__of,axiom, % 194.44/194.23 ! [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)))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nat__of__number,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_int__of__def,axiom, % 194.44/194.23 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ). % 194.44/194.23 % 194.44/194.23 fof(fact_less__eq__code__numeral__def,axiom, % 194.44/194.23 ! [V_m_2,V_n_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nat__of__code,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_nat__of__aux__def,axiom, % 194.44/194.23 ! [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) ). % 194.44/194.23 % 194.44/194.23 fof(fact_Suc__code__numeral__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_minus__code__numeral__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_of__nat__inverse,axiom, % 194.44/194.23 ! [V_y_2] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 194.44/194.23 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_plus__code__numeral__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_div__code__numeral__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_mod__code__numeral__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_code__numeral__decr,axiom, % 194.44/194.23 ! [V_k] : % 194.44/194.23 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_partition__set,axiom, % 194.44/194.23 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 194.44/194.23 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 194.44/194.23 => 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) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_partition__P,axiom, % 194.44/194.23 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 194.44/194.23 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 194.44/194.23 => ( ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 194.44/194.23 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.44/194.23 & ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 194.44/194.23 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_partition_Osimps_I1_J,axiom, % 194.44/194.23 ! [V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_partition_Osimps_I2_J,axiom, % 194.44/194.23 ! [V_xs_2,V_x_2,V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_P_2,V_xs_2)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__Int__eq,axiom, % 194.44/194.23 ! [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))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_lists__IntI,axiom, % 194.44/194.23 ! [V_B_2,V_A_2,V_l_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 194.44/194.23 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp_ONil,axiom, % 194.44/194.23 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp_Oequations_I1_J,axiom, % 194.44/194.23 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 194.44/194.23 % 194.44/194.23 fof(fact_in__listsp__conv__set,axiom, % 194.44/194.23 ! [V_xs_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 194.44/194.23 <=> ! [B_x] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.23 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp__conj__eq,axiom, % 194.44/194.23 ! [V_x_2,V_B_2,V_A_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 194.44/194.23 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp__infI,axiom, % 194.44/194.23 ! [V_B_2,V_l_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 194.44/194.23 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 194.44/194.23 => 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)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp__inf__eq,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp_Oequations_I2_J,axiom, % 194.44/194.23 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 194.44/194.23 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 194.44/194.23 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_append__in__listsp__conv,axiom, % 194.44/194.23 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 194.44/194.23 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 194.44/194.23 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp__mono,axiom, % 194.44/194.23 ! [V_B_2,V_A_2,T_b] : % 194.44/194.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 194.44/194.23 => 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))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_listsp__lists__eq,axiom, % 194.44/194.23 ! [V_x_2,V_A_2,T_b] : % 194.44/194.23 ( 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)) % 194.44/194.23 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 194.44/194.23 % 194.44/194.23 fof(fact_product_Osimps_I2_J,axiom, % 194.44/194.23 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__def,axiom, % 194.44/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 <=> ( 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) % 194.44/194.24 & ! [B_x] : % 194.44/194.24 ( 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)))) % 194.44/194.24 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__map2,axiom, % 194.44/194.24 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 194.44/194.24 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__map1,axiom, % 194.44/194.24 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 194.44/194.24 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_P_2),V_f_2),V_as_2,V_bs_2) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__dropI,axiom, % 194.44/194.24 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2) % 194.44/194.24 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__appendI,axiom, % 194.44/194.24 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) % 194.44/194.24 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2) % 194.44/194.24 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__append,axiom, % 194.44/194.24 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] : % 194.44/194.24 ( 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) % 194.44/194.24 => ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 194.44/194.24 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__Cons,axiom, % 194.44/194.24 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 194.44/194.24 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 194.44/194.24 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__takeI,axiom, % 194.44/194.24 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__eq,axiom, % 194.44/194.24 ! [T_b,V_ys_2,V_xs_2] : % 194.44/194.24 ( V_xs_2 = V_ys_2 % 194.44/194.24 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__lengthD,axiom, % 194.44/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 => 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) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__Nil,axiom, % 194.44/194.24 ! [V_ys_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2) % 194.44/194.24 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__Nil2,axiom, % 194.44/194.24 ! [V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c)) % 194.44/194.24 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_product_Osimps_I1_J,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__nthD2,axiom, % 194.44/194.24 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 => ( 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))) % 194.44/194.24 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__nthD,axiom, % 194.44/194.24 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 => ( 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))) % 194.44/194.24 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__conv__all__nth,axiom, % 194.44/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 <=> ( 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) % 194.44/194.24 & ! [B_i] : % 194.44/194.24 ( 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))) % 194.44/194.24 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__update__cong2,axiom, % 194.44/194.24 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.44/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 194.44/194.24 => ( 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))) % 194.44/194.24 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2__update__cong,axiom, % 194.44/194.24 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] : % 194.44/194.24 ( 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))) % 194.44/194.24 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 194.44/194.24 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 194.44/194.24 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__product,axiom, % 194.44/194.24 ! [V_ys,T_b,V_xs,T_a] : % 194.44/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.24 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 194.44/194.24 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_product__list__set,axiom, % 194.44/194.24 ! [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))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_sublists__powset,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__sublists,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_sublists_Osimps_I1_J,axiom, % 194.44/194.24 ! [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))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_sublists_Osimps_I2_J,axiom, % 194.44/194.24 ! [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))))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__set__sublists,axiom, % 194.44/194.24 ! [V_xs_2,T_b] : % 194.44/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.44/194.24 => 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)))) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_set__n__lists,axiom, % 194.44/194.24 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_enum__the__def,axiom, % 194.44/194.24 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__n__lists,axiom, % 194.44/194.24 ! [V_n,V_xs,T_a] : % 194.44/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.24 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_n__lists_Osimps_I1_J,axiom, % 194.44/194.24 ! [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))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_n__lists__Nil,axiom, % 194.44/194.24 ! [T_a,V_n] : % 194.44/194.24 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.24 => 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))) ) % 194.44/194.24 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.44/194.24 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__n__lists,axiom, % 194.44/194.24 ! [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) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__n__lists__elem,axiom, % 194.44/194.24 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 194.44/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)))) % 194.44/194.24 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_list__all2I,axiom, % 194.44/194.24 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] : % 194.44/194.24 ( ! [B_x] : % 194.44/194.24 ( 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)))) % 194.44/194.24 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) % 194.44/194.24 => ( 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) % 194.44/194.24 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_all__nth__imp__all__set,axiom, % 194.44/194.24 ! [V_x_2,V_P_2,V_xs_2,T_b] : % 194.44/194.24 ( ! [B_i] : % 194.44/194.24 ( 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))) % 194.44/194.24 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 194.44/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.24 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 194.44/194.24 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 194.44/194.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 194.44/194.24 => 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)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_map__removeAll__inj__on,axiom, % 194.44/194.24 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 194.44/194.24 ( 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))) % 194.44/194.24 => 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)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__remdups,axiom, % 194.44/194.24 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__remdups__leq,axiom, % 194.44/194.24 ! [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))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__remdups__id,axiom, % 194.44/194.24 ! [V_xs,T_a] : % 194.44/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.24 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__removeAll,axiom, % 194.44/194.24 ! [V_x,V_xs,T_a] : % 194.44/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.24 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remdups__id__iff__distinct,axiom, % 194.44/194.24 ! [V_xs_2,T_b] : % 194.44/194.24 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 194.44/194.24 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_set__remdups,axiom, % 194.44/194.24 ! [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) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__remdups__eq,axiom, % 194.44/194.24 ! [V_xs_2,T_b] : % 194.44/194.24 ( 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) % 194.44/194.24 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remdups__remdups,axiom, % 194.44/194.24 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remdups__eq__nil__iff,axiom, % 194.44/194.24 ! [V_x_2,T_b] : % 194.44/194.24 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 194.44/194.24 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_removeAll_Osimps_I1_J,axiom, % 194.44/194.24 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remdups__eq__nil__right__iff,axiom, % 194.44/194.24 ! [V_x_2,T_b] : % 194.44/194.24 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 194.44/194.24 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remdups_Osimps_I1_J,axiom, % 194.44/194.24 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 194.44/194.24 % 194.44/194.24 fof(fact_removeAll_Osimps_I2_J,axiom, % 194.44/194.24 ! [V_xs,T_a,V_y,V_x] : % 194.44/194.24 ( ( V_x = V_y % 194.44/194.24 => 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) ) % 194.44/194.24 & ( V_x != V_y % 194.44/194.24 => 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)) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_removeAll__append,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remdups__map__remdups,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remove1__remdups,axiom, % 194.44/194.24 ! [V_x,V_xs,T_a] : % 194.44/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.24 => 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)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_removeAll__id,axiom, % 194.44/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.24 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.24 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__remove1__removeAll,axiom, % 194.44/194.24 ! [V_x,V_xs,T_a] : % 194.44/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.44/194.24 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_remdups_Osimps_I2_J,axiom, % 194.44/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.44/194.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.24 => 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) ) % 194.44/194.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.44/194.24 => 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)) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__remdups__card__conv,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_map__removeAll__inj,axiom, % 194.44/194.24 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 194.44/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.44/194.24 => 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)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_set__removeAll,axiom, % 194.44/194.24 ! [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)))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__remdups__concat,axiom, % 194.44/194.24 ! [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))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 194.44/194.24 ! [V_xs_2,T_b] : % 194.44/194.24 ( class_Orderings_Olinorder(T_b) % 194.44/194.24 => 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)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat_Osimps_I1_J,axiom, % 194.44/194.24 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 194.44/194.24 % 194.44/194.24 fof(fact_sort__key__simps_I1_J,axiom, % 194.44/194.24 ! [V_f_2,T_b,T_c] : % 194.44/194.24 ( class_Orderings_Olinorder(T_c) % 194.44/194.24 => 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) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_foldl__conv__concat,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat__conv__foldl,axiom, % 194.44/194.24 ! [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) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__sort,axiom, % 194.44/194.24 ! [V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.24 ( class_Orderings_Olinorder(T_c) % 194.44/194.24 => 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) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_set__sort,axiom, % 194.44/194.24 ! [V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.24 ( class_Orderings_Olinorder(T_c) % 194.44/194.24 => 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) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_distinct__sort,axiom, % 194.44/194.24 ! [V_xs_2,V_f_2,T_b,T_c] : % 194.44/194.24 ( class_Orderings_Olinorder(T_c) % 194.44/194.24 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 194.44/194.24 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat_Osimps_I2_J,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat__eq__Nil__conv,axiom, % 194.44/194.24 ! [V_xss_2,T_b] : % 194.44/194.24 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 194.44/194.24 <=> ! [B_x] : % 194.44/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 194.44/194.24 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_Nil__eq__concat__conv,axiom, % 194.44/194.24 ! [V_xss_2,T_b] : % 194.44/194.24 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 194.44/194.24 <=> ! [B_x] : % 194.44/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 194.44/194.24 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_map__concat,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_length__concat,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_set__concat,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_sort__key__simps_I2_J,axiom, % 194.44/194.24 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 194.44/194.24 ( class_Orderings_Olinorder(T_c) % 194.44/194.24 => 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)) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat__append,axiom, % 194.44/194.24 ! [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)) ). % 194.44/194.24 % 194.44/194.24 fof(fact_sort__foldl__insort,axiom, % 194.44/194.24 ! [V_xs_2,T_b] : % 194.44/194.24 ( class_Orderings_Olinorder(T_b) % 194.44/194.24 => 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) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat__eq__concat__iff,axiom, % 194.44/194.24 ! [V_ys_2,V_xs_2,T_b] : % 194.44/194.24 ( ! [B_x] : % 194.44/194.24 ( 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)))) % 194.44/194.24 => 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)) ) % 194.44/194.24 => ( 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) % 194.44/194.24 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 194.44/194.24 <=> V_xs_2 = V_ys_2 ) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat__injective,axiom, % 194.44/194.24 ! [V_ys_2,V_xs_2,T_b] : % 194.44/194.24 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 194.44/194.24 => ( 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) % 194.44/194.24 => ( ! [B_x] : % 194.44/194.24 ( 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)))) % 194.44/194.24 => 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)) ) % 194.44/194.24 => V_xs_2 = V_ys_2 ) ) ) ). % 194.44/194.24 % 194.44/194.24 fof(fact_concat__map__singleton,axiom, % 194.44/194.24 ! [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) ). % 194.44/194.24 % 194.44/194.24 fof(fact_n__lists_Osimps_I2_J,axiom, % 194.44/194.24 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ). % 194.44/194.24 % 194.44/194.24 fof(fact_transpose_Osimps_I3_J,axiom, % 194.44/194.24 ! [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))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__aux__filter__head,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__concat,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__sort,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] : % 194.45/194.24 ( class_Orderings_Olinorder(T_c) % 194.45/194.24 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_distinct__filter,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__is__subset,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__id__conv,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2 % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__filter__le,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sum__length__filter__compl,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_partition__filter2,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_P_2)),V_xs_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__filter,axiom, % 194.45/194.24 ! [V_xs_2,V_Q_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__remove1,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_remove1__filter__not,axiom, % 194.45/194.24 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 194.45/194.24 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__insort__triv,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] : % 194.45/194.24 ( class_Orderings_Olinorder(T_c) % 194.45/194.24 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_partition__filter1,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__map,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter_Osimps_I1_J,axiom, % 194.45/194.24 ! [V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose_Osimps_I1_J,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter_Osimps_I2_J,axiom, % 194.45/194.24 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 194.45/194.24 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__append,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__empty__conv,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b) % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_removeAll__filter__not__eq,axiom, % 194.45/194.24 ! [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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_remdups__filter,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oremdups(T_b,V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_removeAll__filter__not,axiom, % 194.45/194.24 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 194.45/194.24 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose_Osimps_I2_J,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nth__transpose,axiom, % 194.45/194.24 ! [V_xs_2,T_b,V_i_2] : % 194.45/194.24 ( 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)))) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__map__map,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__filter,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_P_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__filter__map,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__filter__less,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_partition__filter__conv,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__minus__filter__out,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__in__sublist,axiom, % 194.45/194.24 ! [V_s_2,V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__empty,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 194.45/194.24 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__filter__conv__card,axiom, % 194.45/194.24 ! [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))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__aux__filter__tail,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose_Opsimps_I3_J,axiom, % 194.45/194.24 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => 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))))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose_Opsimps_I2_J,axiom, % 194.45/194.24 ! [V_xss_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sublist__shift__lemma__Suc,axiom, % 194.45/194.24 ! [V_is_2,V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_select__weigth__drop__zero,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_pick__drop__zero,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose_Opsimps_I1_J,axiom, % 194.45/194.24 ! [T_b] : % 194.45/194.24 ( 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)))) % 194.45/194.24 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__max__length,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__aux__max,axiom, % 194.45/194.24 ! [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)))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldr_Osimps_I1_J,axiom, % 194.45/194.24 ! [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 ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldr_Osimps_I2_J,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldr__append,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldr__conv__foldl,axiom, % 194.45/194.24 ! [V_a_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Groups_Oab__semigroup__add(T_b) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldr__map,axiom, % 194.45/194.24 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldl__foldr1__lemma,axiom, % 194.45/194.24 ! [V_xs_2,V_a_2,T_b] : % 194.45/194.24 ( class_Groups_Omonoid__add(T_b) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldl__foldr1,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( class_Groups_Omonoid__add(T_b) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__transpose,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sublist__def,axiom, % 194.45/194.24 ! [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))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sublist__shift__lemma,axiom, % 194.45/194.24 ! [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))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_atLeastLessThan__upt,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__upt,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__Suc__append,axiom, % 194.45/194.24 ! [V_j,V_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__Suc,axiom, % 194.45/194.24 ! [V_j,V_i] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => 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))) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__add__eq__append,axiom, % 194.45/194.24 ! [V_k,V_j,V_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__rec,axiom, % 194.45/194.24 ! [V_j,V_i] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => 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)) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__conv__Cons,axiom, % 194.45/194.24 ! [V_j,V_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__eq__Nil__conv,axiom, % 194.45/194.24 ! [V_j_2,V_i_2] : % 194.45/194.24 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 194.45/194.24 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__conv__Nil,axiom, % 194.45/194.24 ! [V_i,V_j] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 194.45/194.24 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__0,axiom, % 194.45/194.24 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(fact_take__upt,axiom, % 194.45/194.24 ! [V_n,V_m,V_i] : % 194.45/194.24 ( 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)) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__list__of__set__range,axiom, % 194.45/194.24 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_hd__upt,axiom, % 194.45/194.24 ! [V_j,V_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_drop__upt,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_distinct__upt,axiom, % 194.45/194.24 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__upt,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__rec__number__of,axiom, % 194.45/194.24 ! [V_n,V_m] : % 194.45/194.24 ( ( 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))) % 194.45/194.24 => 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))) ) % 194.45/194.24 & ( ~ 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))) % 194.45/194.24 => 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) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_upt__eq__Cons__conv,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 194.45/194.24 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 194.45/194.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 194.45/194.24 & V_i_2 = V_x_2 % 194.45/194.24 & 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 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_last__upt,axiom, % 194.45/194.24 ! [V_j,V_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_map__Suc__upt,axiom, % 194.45/194.24 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_atLeastAtMost__upt,axiom, % 194.45/194.24 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_atLeast__upt,axiom, % 194.45/194.24 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nth__upt,axiom, % 194.45/194.24 ! [V_j,V_k,V_i] : % 194.45/194.24 ( 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)) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_greaterThanAtMost__upt,axiom, % 194.45/194.24 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_greaterThanLessThan__upt,axiom, % 194.45/194.24 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_atMost__upto,axiom, % 194.45/194.24 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_map__nth,axiom, % 194.45/194.24 ! [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 ). % 194.45/194.24 % 194.45/194.24 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 194.45/194.24 ! [V_n_2,V_m_2,V_f_2,T_b] : % 194.45/194.24 ( class_Groups_Ocomm__monoid__add(T_b) % 194.45/194.24 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 194.45/194.24 ! [V_n_2,V_m_2,V_f_2,T_b] : % 194.45/194.24 ( class_Groups_Ocomm__monoid__add(T_b) % 194.45/194.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nth__map__upt,axiom, % 194.45/194.24 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))) % 194.45/194.24 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__rectangle,axiom, % 194.45/194.24 ! [V_n_2,T_b,V_xs_2] : % 194.45/194.24 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 194.45/194.24 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 194.45/194.24 => ( ! [B_i] : % 194.45/194.24 ( 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))) % 194.45/194.24 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 ) % 194.45/194.24 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_insort__key__remove1,axiom, % 194.45/194.24 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 194.45/194.24 ( class_Orderings_Olinorder(T_c) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 194.45/194.24 => ( 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 % 194.45/194.24 => 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 ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted_ONil,axiom, % 194.45/194.24 ! [T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__single,axiom, % 194.45/194.24 ! [V_x,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__upt,axiom, % 194.45/194.24 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__sort,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__insort__insert,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__drop,axiom, % 194.45/194.24 ! [V_n,V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__upto,axiom, % 194.45/194.24 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__take,axiom, % 194.45/194.24 ! [V_n,V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__remove1,axiom, % 194.45/194.24 ! [V_a,V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__tl,axiom, % 194.45/194.24 ! [V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__insort,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( 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)) % 194.45/194.24 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__butlast,axiom, % 194.45/194.24 ! [V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( V_xs != c_List_Olist_ONil(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted_Oequations_I1_J,axiom, % 194.45/194.24 ! [T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__many__eq,axiom, % 194.45/194.24 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( 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))) % 194.45/194.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 194.45/194.24 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__many,axiom, % 194.45/194.24 ! [V_zs,V_y,V_x,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 194.45/194.24 => 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))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__remdups,axiom, % 194.45/194.24 ! [V_l,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__distinct__set__unique,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 194.45/194.24 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 194.45/194.24 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 194.45/194.24 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__sort__key,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__insort__insert__key,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 194.45/194.24 => 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))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__map__remove1,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 194.45/194.24 => 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))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__insort__key,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( 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))) % 194.45/194.24 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__map__same,axiom, % 194.45/194.24 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__filter,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__same,axiom, % 194.45/194.24 ! [V_xs_2,V_g_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__Cons,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 194.45/194.24 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 & ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__append,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 194.45/194.24 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 194.45/194.24 & ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ! [B_xa] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__insort,axiom, % 194.45/194.24 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 194.45/194.24 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hAPP(c_List_Ofilter(T_c,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted_Oequations_I2_J,axiom, % 194.45/194.24 ! [V_a1_2,V_a2_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 194.45/194.24 <=> ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 194.45/194.24 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__list__of__set,axiom, % 194.45/194.24 ! [V_A_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.45/194.24 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 194.45/194.24 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 194.45/194.24 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_insort__remove1,axiom, % 194.45/194.24 ! [V_xs_2,V_a_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 => 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 ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__nth__mono,axiom, % 194.45/194.24 ! [V_j,V_i,V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => ( 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))) % 194.45/194.24 => 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))) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__equals__nth__mono,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 <=> ! [B_j] : % 194.45/194.24 ( 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))) % 194.45/194.24 => ! [B_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 194.45/194.24 => 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))) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_map__sorted__distinct__set__unique,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 194.45/194.24 ( class_Orderings_Olinorder(T_c) % 194.45/194.24 => ( 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))) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 194.45/194.24 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 194.45/194.24 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 194.45/194.24 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 194.45/194.24 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__column,axiom, % 194.45/194.24 ! [V_i_2,V_xs_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => ( 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))) % 194.45/194.24 => 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) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nth__nth__transpose__sorted,axiom, % 194.45/194.24 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => ( 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)))) % 194.45/194.24 => ( 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)))) % 194.45/194.24 => 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) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inj__on__rev,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_distinct__rev,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 194.45/194.24 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__is__Nil__conv,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 194.45/194.24 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Nil__is__rev__conv,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 194.45/194.24 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev_Osimps_I1_J,axiom, % 194.45/194.24 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 194.45/194.24 % 194.45/194.24 fof(fact_singleton__rev__conv,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( 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) % 194.45/194.24 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__singleton__conv,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,T_b] : % 194.45/194.24 ( 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)) % 194.45/194.24 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__append,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__concat,axiom, % 194.45/194.24 ! [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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__map,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__filter,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_zip__rev,axiom, % 194.45/194.24 ! [V_ys,T_b,V_xs,T_a] : % 194.45/194.24 ( 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) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__rev,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all2__rev,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.45/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 194.45/194.24 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all2__rev1,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 194.45/194.24 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 194.45/194.24 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__rev__ident,axiom, % 194.45/194.24 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__swap,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,T_b] : % 194.45/194.24 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 194.45/194.24 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__is__rev__conv,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,T_b] : % 194.45/194.24 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 194.45/194.24 <=> V_xs_2 = V_ys_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_listsum__rev,axiom, % 194.45/194.24 ! [V_xs,T_a] : % 194.45/194.24 ( class_Groups_Ocomm__monoid__add(T_a) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__rev,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldl__foldr,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldr__foldl,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__eq__Cons__iff,axiom, % 194.45/194.24 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 194.45/194.24 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 194.45/194.24 <=> 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev_Osimps_I2_J,axiom, % 194.45/194.24 ! [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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_hd__rev,axiom, % 194.45/194.24 ! [T_a,V_xs] : % 194.45/194.24 ( V_xs != c_List_Olist_ONil(T_a) % 194.45/194.24 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_last__rev,axiom, % 194.45/194.24 ! [T_a,V_xs] : % 194.45/194.24 ( V_xs != c_List_Olist_ONil(T_a) % 194.45/194.24 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__transpose,axiom, % 194.45/194.24 ! [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)))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__foldl__cons,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__drop,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__take,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rotate__rev,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__nth,axiom, % 194.45/194.24 ! [V_xs,T_a,V_n] : % 194.45/194.24 ( 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))) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__update,axiom, % 194.45/194.24 ! [V_y,V_xs,T_a,V_k] : % 194.45/194.24 ( 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))) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__rev__nth__mono,axiom, % 194.45/194.24 ! [V_j,V_i,V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 194.45/194.24 => ( 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))) % 194.45/194.24 => 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))) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldr__max__sorted,axiom, % 194.45/194.24 ! [V_y_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 194.45/194.24 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 194.45/194.24 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 194.45/194.24 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.45/194.24 => 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) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__transpose__sorted,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 194.45/194.24 => 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) ) % 194.45/194.24 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 194.45/194.24 => 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))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__column__length,axiom, % 194.45/194.24 ! [V_i_2,V_xs_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => ( 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))) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpose__transpose,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 194.45/194.24 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__takeWhile,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__takeWhile__le,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__eq__all__conv,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2 % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__takeWhileD,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_zip__takeWhile__snd,axiom, % 194.45/194.24 ! [V_ys_2,V_P_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_zip__takeWhile__fst,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__map,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__tail,axiom, % 194.45/194.24 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] : % 194.45/194.24 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile_Osimps_I2_J,axiom, % 194.45/194.24 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 194.45/194.24 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile_Osimps_I1_J,axiom, % 194.45/194.24 ! [V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__eq__take,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_distinct__takeWhile,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_return__list__def,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__append1,axiom, % 194.45/194.24 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nth__length__takeWhile,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 194.45/194.24 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__nth,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 194.45/194.24 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__not__last,axiom, % 194.45/194.24 ! [T_b,V_xs_2] : % 194.45/194.24 ( V_xs_2 != c_List_Olist_ONil(T_b) % 194.45/194.24 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => 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) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 194.45/194.24 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( 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))) % 194.45/194.24 => 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) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transfer__nat__int__list__return__embed,axiom, % 194.45/194.24 ! [V_l] : % 194.45/194.24 ( c_List_Onat__list(V_l) % 194.45/194.24 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 194.45/194.24 ! [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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_embed__list__def,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__neq__rev,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => 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))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__neq__rev,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => 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))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__dropWhile__id,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)) = V_xs_2 ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__dropWhile,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__dropWhile__le,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_hd__dropWhile,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b) % 194.45/194.24 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__eq__Nil__conv,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b) % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile_Osimps_I2_J,axiom, % 194.45/194.24 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 194.45/194.24 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_P_2,V_xs_2) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile_Osimps_I1_J,axiom, % 194.45/194.24 ! [V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 194.45/194.24 % 194.45/194.24 fof(fact_distinct__dropWhile,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 194.45/194.24 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__map,axiom, % 194.45/194.24 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__append1,axiom, % 194.45/194.24 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_ys_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__eq__Cons__conv,axiom, % 194.45/194.24 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 194.45/194.24 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 194.45/194.24 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__eq__drop,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__nth,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 194.45/194.24 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_listsum__map__filter,axiom, % 194.45/194.24 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] : % 194.45/194.24 ( class_Groups_Omonoid__add(T_c) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => ( ~ hBOOL(hAPP(V_P_2,B_x)) % 194.45/194.24 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 194.45/194.24 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted__nth__monoI,axiom, % 194.45/194.24 ! [V_xs,T_a] : % 194.45/194.24 ( class_Orderings_Olinorder(T_a) % 194.45/194.24 => ( ! [B_i,B_j] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 194.45/194.24 => ( 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))) % 194.45/194.24 => 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))) ) ) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__eq__filter,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 194.45/194.24 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__eq__take__P__nth,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b,V_n_2] : % 194.45/194.24 ( ! [B_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 194.45/194.24 => ( 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))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 194.45/194.24 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 194.45/194.24 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 194.45/194.24 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__takeWhile__less__P__nth,axiom, % 194.45/194.24 ! [V_xs_2,T_b,V_P_2,V_j_2] : % 194.45/194.24 ( ! [B_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 194.45/194.24 => ( 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))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted_Osimps,axiom, % 194.45/194.24 ! [V_a_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 194.45/194.24 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 194.45/194.24 | ? [B_xs,B_x] : % 194.45/194.24 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 194.45/194.24 & ! [B_xa] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 194.45/194.24 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_List_Oinsert__def,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 194.45/194.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => 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) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_not__in__set__insert,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_insert__remdups,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_distinct__insert,axiom, % 194.45/194.24 ! [V_x,V_xs,T_a] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 194.45/194.24 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__set__insert,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_List_Oset__insert,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_insert__Nil,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_maps__def,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_concat__map__maps,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_maps__simps_I2_J,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_maps__simps_I1_J,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_distinct__concat,axiom, % 194.45/194.24 ! [V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 194.45/194.24 => ( ! [B_ys] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 194.45/194.24 => ( ! [B_ys] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 194.45/194.24 => ! [B_zs] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 194.45/194.24 => ( B_ys != B_zs % 194.45/194.24 => 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)) ) ) ) % 194.45/194.24 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_measures__lesseq,axiom, % 194.45/194.24 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 194.45/194.24 ( 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))) % 194.45/194.24 => ( 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))) % 194.45/194.24 => 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)))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_wf__measures,axiom, % 194.45/194.24 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__measures_I1_J,axiom, % 194.45/194.24 ! [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))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_measures__def,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_measures__less,axiom, % 194.45/194.24 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 194.45/194.24 ( 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))) % 194.45/194.24 => 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)))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__measures_I2_J,axiom, % 194.45/194.24 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 194.45/194.24 ( 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)))) % 194.45/194.24 <=> ( 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))) % 194.45/194.24 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 194.45/194.24 & 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))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_foldl__apply,axiom, % 194.45/194.24 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) ) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_order__fun_I2_J,axiom, % 194.45/194.24 ! [V_g_2,V_f_2,T_b,T_c] : % 194.45/194.24 ( ( class_Orderings_Oorder(T_c) % 194.45/194.24 & class_Enum_Oenum(T_b) ) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 194.45/194.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 194.45/194.24 & 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)))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_enum__ex__prod__def,axiom, % 194.45/194.24 ! [V_P_2,T_b,T_c] : % 194.45/194.24 ( ( class_Enum_Oenum(T_c) % 194.45/194.24 & class_Enum_Oenum(T_b) ) % 194.45/194.24 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2)) % 194.45/194.24 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_enum__ex,axiom, % 194.45/194.24 ! [V_P_2,T_b] : % 194.45/194.24 ( class_Enum_Oenum(T_b) % 194.45/194.24 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) % 194.45/194.24 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_exists__code,axiom, % 194.45/194.24 ! [V_P_2,T_b] : % 194.45/194.24 ( class_Enum_Oenum(T_b) % 194.45/194.24 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.45/194.24 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_zip__obtain__same__length,axiom, % 194.45/194.24 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] : % 194.45/194.24 ( ( 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)) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) ) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_pos__not__random__dseq__def,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_dropWhile__append2,axiom, % 194.45/194.24 ! [V_ys_2,V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_P_2,V_ys_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all2__all__nthI,axiom, % 194.45/194.24 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] : % 194.45/194.24 ( 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) % 194.45/194.24 => ( ! [B_n] : % 194.45/194.24 ( 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))) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) ) % 194.45/194.24 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_finite__sorted__distinct__unique,axiom, % 194.45/194.24 ! [V_A_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.45/194.24 => ? [B_x] : % 194.45/194.24 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 194.45/194.24 & c_List_Olinorder__class_Osorted(T_b,B_x) % 194.45/194.24 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 194.45/194.24 & ! [B_y] : % 194.45/194.24 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 194.45/194.24 & c_List_Olinorder__class_Osorted(T_b,B_y) % 194.45/194.24 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 194.45/194.24 => B_y = B_x ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_takeWhile__append2,axiom, % 194.45/194.24 ! [V_ys_2,V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_insort__is__Cons,axiom, % 194.45/194.24 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 194.45/194.24 ( class_Orderings_Olinorder(T_c) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 194.45/194.24 => 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) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Cons__eq__filter__iff,axiom, % 194.45/194.24 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) % 194.45/194.24 <=> ? [B_us,B_vs] : % 194.45/194.24 ( 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)) % 194.45/194.24 & ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 194.45/194.24 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 & hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__eq__Cons__iff,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] : % 194.45/194.24 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 194.45/194.24 <=> ? [B_us,B_vs] : % 194.45/194.24 ( 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)) % 194.45/194.24 & ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 194.45/194.24 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 & hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_order__fun_I1_J,axiom, % 194.45/194.24 ! [V_g_2,V_f_2,T_b,T_c] : % 194.45/194.24 ( ( class_Orderings_Oorder(T_c) % 194.45/194.24 & class_Enum_Oenum(T_b) ) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 194.45/194.24 <=> 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))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_all__code,axiom, % 194.45/194.24 ! [V_P_2,T_b] : % 194.45/194.24 ( class_Enum_Oenum(T_b) % 194.45/194.24 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 194.45/194.24 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_enum__all,axiom, % 194.45/194.24 ! [V_P_2,T_b] : % 194.45/194.24 ( class_Enum_Oenum(T_b) % 194.45/194.24 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) % 194.45/194.24 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_enum__all__prod__def,axiom, % 194.45/194.24 ! [V_P_2,T_b,T_c] : % 194.45/194.24 ( ( class_Enum_Oenum(T_c) % 194.45/194.24 & class_Enum_Oenum(T_b) ) % 194.45/194.24 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2)) % 194.45/194.24 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ball__nth,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b,V_n_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sorted_OCons,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,T_b] : % 194.45/194.24 ( class_Orderings_Olinorder(T_b) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 194.45/194.24 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 194.45/194.24 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__length,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ? [B_n] : % 194.45/194.24 ( 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))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__set__conv__decomp,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 <=> ? [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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__simps_I2_J,axiom, % 194.45/194.24 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__append,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 194.45/194.24 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 194.45/194.24 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__iff,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__rev,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 194.45/194.24 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__simps_I1_J,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 194.45/194.24 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__set__conv__decomp__first,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 <=> ? [B_ys] : % 194.45/194.24 ( ? [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)) % 194.45/194.24 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__set__conv__decomp__last,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 <=> ? [B_ys,B_zs] : % 194.45/194.24 ( 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)) % 194.45/194.24 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__length,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ! [B_n] : % 194.45/194.24 ( 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))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_measure__function__int,axiom, % 194.45/194.24 c_FunDef_Ois__measure(tc_Int_Oint,hAPP(c_Fun_Ocomp(tc_Int_Oint,tc_Nat_Onat,tc_Int_Oint,c_Int_Onat),c_Groups_Oabs__class_Oabs(tc_Int_Oint))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__simps_I2_J,axiom, % 194.45/194.24 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__append,axiom, % 194.45/194.24 ! [V_ys_2,V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 194.45/194.24 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 194.45/194.24 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_measure__size,axiom, % 194.45/194.24 ! [T_b] : % 194.45/194.24 ( class_Nat_Osize(T_b) % 194.45/194.24 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_is__measure_Osimps,axiom, % 194.45/194.24 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_is__measure_Oequations,axiom, % 194.45/194.24 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_is__measure_Ointros,axiom, % 194.45/194.24 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__iff,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_measure__fst,axiom, % 194.45/194.24 ! [T_c,V_f_2,T_b] : % 194.45/194.24 ( c_FunDef_Ois__measure(T_b,V_f_2) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_measure__snd,axiom, % 194.45/194.24 ! [T_c,V_f_2,T_b] : % 194.45/194.24 ( c_FunDef_Ois__measure(T_b,V_f_2) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__rev,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 194.45/194.24 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__simps_I1_J,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 194.45/194.24 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Ball__set__list__all,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__iff__raw,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex1__simps_I2_J,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 194.45/194.24 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transfer__morphism__int__nat,axiom, % 194.45/194.24 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex1__simps_I1_J,axiom, % 194.45/194.24 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bool_Osize_I4_J,axiom, % 194.45/194.24 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bool_Osize_I3_J,axiom, % 194.45/194.24 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex1__iff,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) % 194.45/194.24 & ! [B_y] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_y)) ) % 194.45/194.24 => B_y = B_x ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 194.45/194.24 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 194.45/194.24 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.45/194.24 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) ) % 194.45/194.24 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.45/194.24 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 194.45/194.24 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 194.45/194.24 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.45/194.24 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) ) % 194.45/194.24 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 194.45/194.24 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 194.45/194.24 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Opos__empty__def,axiom, % 194.45/194.24 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 194.45/194.24 % 194.45/194.24 fof(fact_pos__empty__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ). % 194.45/194.24 % 194.45/194.24 fof(fact_neg__bind__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Opos__bind__def,axiom, % 194.45/194.24 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_neg__map__def,axiom, % 194.45/194.24 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_neg__single__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_pos__bind__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Oneg__single__def,axiom, % 194.45/194.24 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ). % 194.45/194.24 % 194.45/194.24 fof(fact_pos__map__def,axiom, % 194.45/194.24 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_pos__single__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__splice,axiom, % 194.45/194.24 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_splice_Osimps_I3_J,axiom, % 194.45/194.24 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_splice_Osimps_I1_J,axiom, % 194.45/194.24 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 194.45/194.24 % 194.45/194.24 fof(fact_splice__Nil2,axiom, % 194.45/194.24 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 194.45/194.24 % 194.45/194.24 fof(fact_splice_Osimps_I2_J,axiom, % 194.45/194.24 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Opos__single__def,axiom, % 194.45/194.24 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ). % 194.45/194.24 % 194.45/194.24 fof(fact_acyclicP__converse,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2)))) % 194.45/194.24 <=> 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_converse__meet,axiom, % 194.45/194.24 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_converse__pred__comp,axiom, % 194.45/194.24 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversep__noteq,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2)) % 194.45/194.24 <=> V_x_2 != V_y_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversepD,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversep_Ointros,axiom, % 194.45/194.24 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversep_Oequations,axiom, % 194.45/194.24 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 194.45/194.24 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversep__iff,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 194.45/194.24 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversep__conversep,axiom, % 194.45/194.24 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversep__eq,axiom, % 194.45/194.24 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 194.45/194.24 % 194.45/194.24 fof(fact_converse__join,axiom, % 194.45/194.24 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_conversep__converse__eq,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2)) % 194.45/194.24 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_,axiom, % 194.45/194.24 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_tl__replicate,axiom, % 194.45/194.24 ! [V_x,T_a,V_n] : % 194.45/194.24 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__length__filter,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_length__replicate,axiom, % 194.45/194.24 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ). % 194.45/194.24 % 194.45/194.24 fof(fact_map__replicate__const,axiom, % 194.45/194.24 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__app__Cons__same,axiom, % 194.45/194.24 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__Suc,axiom, % 194.45/194.24 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_rev__replicate,axiom, % 194.45/194.24 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ). % 194.45/194.24 % 194.45/194.24 fof(fact_drop__replicate,axiom, % 194.45/194.24 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ). % 194.45/194.24 % 194.45/194.24 fof(fact_hd__replicate,axiom, % 194.45/194.24 ! [V_x,T_a,V_n] : % 194.45/194.24 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_take__replicate,axiom, % 194.45/194.24 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ). % 194.45/194.24 % 194.45/194.24 fof(fact_last__replicate,axiom, % 194.45/194.24 ! [V_x,T_a,V_n] : % 194.45/194.24 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_zip__replicate,axiom, % 194.45/194.24 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Ball__set__replicate,axiom, % 194.45/194.24 ! [V_P_2,V_a_2,V_n_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 194.45/194.24 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Bex__set__replicate,axiom, % 194.45/194.24 ! [V_P_2,V_a_2,V_n_2,T_b] : % 194.45/194.24 ( ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 194.45/194.24 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__eq__replicate,axiom, % 194.45/194.24 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 194.45/194.24 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 194.45/194.24 <=> ( V_m_2 = V_n_2 % 194.45/194.24 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 => V_x_2 = V_y_2 ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nth__replicate,axiom, % 194.45/194.24 ! [V_x,T_a,V_n,V_i] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 194.45/194.24 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_append__replicate__commute,axiom, % 194.45/194.24 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__add,axiom, % 194.45/194.24 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_filter__replicate,axiom, % 194.45/194.24 ! [V_n_2,T_b,V_x_2,V_P_2] : % 194.45/194.24 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 194.45/194.24 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_concat__replicate__trivial,axiom, % 194.45/194.24 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__empty,axiom, % 194.45/194.24 ! [V_x_2,V_n_2,T_b] : % 194.45/194.24 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 194.45/194.24 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_empty__replicate,axiom, % 194.45/194.24 ! [V_x_2,V_n_2,T_b] : % 194.45/194.24 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 194.45/194.24 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__0,axiom, % 194.45/194.24 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ). % 194.45/194.24 % 194.45/194.24 fof(fact_map__replicate,axiom, % 194.45/194.24 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__set__replicate,axiom, % 194.45/194.24 ! [V_y_2,V_n_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2)))) % 194.45/194.24 <=> ( V_x_2 = V_y_2 % 194.45/194.24 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_replicate__append__same,axiom, % 194.45/194.24 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_map__replicate__trivial,axiom, % 194.45/194.24 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__replicate,axiom, % 194.45/194.24 ! [V_x_2,T_b,V_n_2] : % 194.45/194.24 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__replicate__conv__if,axiom, % 194.45/194.24 ! [V_x_2,T_b,V_n_2] : % 194.45/194.24 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 194.45/194.24 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 194.45/194.24 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_set__replicate__Suc,axiom, % 194.45/194.24 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_small__lazy__list_Osimps,axiom, % 194.45/194.24 ! [V_d_2,T_b] : % 194.45/194.24 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 194.45/194.24 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 194.45/194.24 ! [V_lazy__sequence,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a,V_lazy__sequence)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_lazy__sequence)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_small__lazy__prod__def,axiom, % 194.45/194.24 ! [V_d,T_b,T_a] : % 194.45/194.24 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 194.45/194.24 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 194.45/194.24 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Oinject,axiom, % 194.45/194.24 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 194.45/194.24 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2) % 194.45/194.24 <=> ( V_a_2 = V_a_H_2 % 194.45/194.24 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact__01,axiom, % 194.45/194.24 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 194.45/194.24 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_New__DSequence_Opos__union__def,axiom, % 194.45/194.24 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_pos__union__def,axiom, % 194.45/194.24 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_small__lazy_H_Osimps,axiom, % 194.45/194.24 ! [V_i,V_d] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 194.45/194.24 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 194.45/194.24 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_small__lazy__int__def,axiom, % 194.45/194.24 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_small__lazy_H_Opsimps,axiom, % 194.45/194.24 ! [V_i_2,V_d_2] : % 194.45/194.24 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2))) % 194.45/194.24 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 194.45/194.24 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 194.45/194.24 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_size__code,axiom, % 194.45/194.24 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence__size__code,axiom, % 194.45/194.24 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_seq__case,axiom, % 194.45/194.24 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_yieldn__def,axiom, % 194.45/194.24 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 194.45/194.24 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_small__lazy_H_Opinduct,axiom, % 194.45/194.24 ! [V_P_2,V_a1_2,V_a0_2] : % 194.45/194.24 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 194.45/194.24 => ( ! [B_d,B_i] : % 194.45/194.24 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))) % 194.45/194.24 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_P_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) ) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_refl__on__INTER,axiom, % 194.45/194.24 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 194.45/194.24 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 194.45/194.24 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_List_Omember__def,axiom, % 194.45/194.24 ! [V_x_2,V_xs_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 194.45/194.24 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_in__set__member,axiom, % 194.45/194.24 ! [V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_member__rec_I2_J,axiom, % 194.45/194.24 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_member__set,axiom, % 194.45/194.24 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 194.45/194.24 % 194.45/194.24 fof(fact_member__rec_I1_J,axiom, % 194.45/194.24 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2)) % 194.45/194.24 <=> ( V_x_2 = V_y_2 % 194.45/194.24 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex1__iff__raw,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) % 194.45/194.24 & ! [B_y] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_y)) ) % 194.45/194.24 => B_y = B_x ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_setsum__UNION__zero,axiom, % 194.45/194.24 ! [V_f_2,V_S_2,T_b,T_c] : % 194.45/194.24 ( class_Groups_Ocomm__monoid__add(T_c) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 194.45/194.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 194.45/194.24 => ( ! [B_T1] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 194.45/194.24 => ! [B_T2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 194.45/194.24 => ( B_T1 != B_T2 % 194.45/194.24 => ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 194.45/194.24 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 194.45/194.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_THE__default__def,axiom, % 194.45/194.24 ! [V_d_2,T_b,V_P_2] : % 194.45/194.24 ( ( ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(V_P_2,B_x)) % 194.45/194.24 & ! [B_y] : % 194.45/194.24 ( hBOOL(hAPP(V_P_2,B_y)) % 194.45/194.24 => B_y = B_x ) ) % 194.45/194.24 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) ) % 194.45/194.24 & ( ~ ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(V_P_2,B_x)) % 194.45/194.24 & ! [B_y] : % 194.45/194.24 ( hBOOL(hAPP(V_P_2,B_y)) % 194.45/194.24 => B_y = B_x ) ) % 194.45/194.24 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_INF2__I,axiom, % 194.45/194.24 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 194.45/194.24 => 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_c_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_SUP2__E,axiom, % 194.45/194.24 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 194.45/194.24 ( 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_c_2)) % 194.45/194.24 => ~ ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.45/194.24 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_finite__maxlen,axiom, % 194.45/194.24 ! [V_M_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 194.45/194.24 => ? [B_n] : % 194.45/194.24 ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 194.45/194.24 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 194.45/194.24 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 194.45/194.24 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 194.45/194.24 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ). % 194.45/194.24 % 194.45/194.24 fof(fact__02,axiom, % 194.45/194.24 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 194.45/194.24 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__all__iff__all__interval__int,axiom, % 194.45/194.24 ! [V_j_2,V_i_2,V_P_2] : % 194.45/194.24 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2)) % 194.45/194.24 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 194.45/194.24 ! [V_j_2,V_i_2,V_P_2] : % 194.45/194.24 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2)) % 194.45/194.24 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_P_2),V_i_2,V_j_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_all__interval__int__def,axiom, % 194.45/194.24 ! [V_j_2,V_i_2,V_P_2] : % 194.45/194.24 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_code__numeral_Orecs_I2_J,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Random_Osimps,axiom, % 194.45/194.24 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 194.45/194.24 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ) % 194.45/194.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 194.45/194.24 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_code__numeral_Orecs_I1_J,axiom, % 194.45/194.24 ! [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 ). % 194.45/194.24 % 194.45/194.24 fof(fact_Random__Sequence_Oempty__def,axiom, % 194.45/194.24 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Random__Sequence_Osingle__def,axiom, % 194.45/194.24 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Random__Sequence_Omap__def,axiom, % 194.45/194.24 ! [V_P_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_P_2) = c_Random__Sequence_Obind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_exE__realizer,axiom, % 194.45/194.24 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 194.45/194.24 => ( ! [B_x,B_y] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x)) % 194.45/194.24 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 194.45/194.24 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Image__Collect__split,axiom, % 194.45/194.24 ! [V_A_2,V_P_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2)))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lexord__trans,axiom, % 194.45/194.24 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 194.45/194.24 => ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__less__than,axiom, % 194.45/194.24 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__lex__prod,axiom, % 194.45/194.24 ! [V_R2_2,T_c,V_R1_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_R1_2) % 194.45/194.24 => ( c_Relation_Otrans(T_c,V_R2_2) % 194.45/194.24 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__def,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 <=> ! [B_x,B_y] : % 194.45/194.24 ( 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)) % 194.45/194.24 => ! [B_z] : % 194.45/194.24 ( 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)) % 194.45/194.24 => 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)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transD,axiom, % 194.45/194.24 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => ( 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)) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__rtrancl,axiom, % 194.45/194.24 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__Id,axiom, % 194.45/194.24 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trancl__id,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__trancl,axiom, % 194.45/194.24 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__Id__on,axiom, % 194.45/194.24 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__finite__psubset,axiom, % 194.45/194.24 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lexord__transI,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_listrel__trans,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bex__empty,axiom, % 194.45/194.24 ! [V_P_2,T_b] : % 194.45/194.24 ~ ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__converse,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 194.45/194.24 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_finite__Collect__bex,axiom, % 194.45/194.24 ! [V_Q_2,T_c,V_A_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2))))) % 194.45/194.24 <=> ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 194.45/194.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bex__UNIV,axiom, % 194.45/194.24 ! [V_P_2,T_b] : % 194.45/194.24 ( ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__Int,axiom, % 194.45/194.24 ! [V_s_2,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => ( c_Relation_Otrans(T_b,V_s_2) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__O__subset,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_SUPR__bool__eq,axiom, % 194.45/194.24 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__reflclI,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Union__eq,axiom, % 194.45/194.24 ! [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)))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__inv__image,axiom, % 194.45/194.24 ! [V_f_2,T_c,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_UN__eq,axiom, % 194.45/194.24 ! [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))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_list__ex__iff__raw,axiom, % 194.45/194.24 ! [V_xs_2,V_P_2,T_b] : % 194.45/194.24 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 194.45/194.24 <=> ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Bex__set__list__ex,axiom, % 194.45/194.24 ! [V_P_2,V_xs_2,T_b] : % 194.45/194.24 ( ? [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 194.45/194.24 & hBOOL(hAPP(V_P_2,B_x)) ) % 194.45/194.24 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_INT__eq,axiom, % 194.45/194.24 ! [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))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Sup__apply,axiom, % 194.45/194.24 ! [V_x_2,V_A_2,T_c,T_b] : % 194.45/194.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.45/194.24 => 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)))))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Sup__fun__def,axiom, % 194.45/194.24 ! [V_x_2,V_A_2,T_c,T_b] : % 194.45/194.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.45/194.24 => 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)))))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Inf__fun__def,axiom, % 194.45/194.24 ! [V_x_2,V_A_2,T_c,T_b] : % 194.45/194.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.45/194.24 => 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)))))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Inf__apply,axiom, % 194.45/194.24 ! [V_x_2,V_A_2,T_c,T_b] : % 194.45/194.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 194.45/194.24 => 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)))))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_max__extp_Ointros,axiom, % 194.45/194.24 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 194.45/194.24 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 194.45/194.24 => ? [B_xa] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 194.45/194.24 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 194.45/194.24 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transp__def,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Predicate_Otransp(T_b,V_r_2) % 194.45/194.24 <=> 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_transpE,axiom, % 194.45/194.24 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 194.45/194.24 ( c_Predicate_Otransp(T_b,V_r_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_equivpE,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 194.45/194.24 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 194.45/194.24 => ( c_Predicate_Osymp(T_b,V_R_2) % 194.45/194.24 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_equivpI,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Predicate_Oreflp(T_b,V_R_2) % 194.45/194.24 => ( c_Predicate_Osymp(T_b,V_R_2) % 194.45/194.24 => ( c_Predicate_Otransp(T_b,V_R_2) % 194.45/194.24 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sympE,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,V_r_2,T_b] : % 194.45/194.24 ( c_Predicate_Osymp(T_b,V_r_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_equivp__reflp__symp__transp,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 194.45/194.24 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 194.45/194.24 & c_Predicate_Osymp(T_b,V_R_2) % 194.45/194.24 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_max__extp_Osimps,axiom, % 194.45/194.24 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 194.45/194.24 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 194.45/194.24 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 194.45/194.24 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 194.45/194.24 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.45/194.24 & ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 194.45/194.24 => ? [B_xa] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 194.45/194.24 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_trans__diff__Id,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => ( c_Relation_Oantisym(T_b,V_r_2) % 194.45/194.24 => 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))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisym__converse,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 194.45/194.24 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisym__empty,axiom, % 194.45/194.24 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisym__Id__on,axiom, % 194.45/194.24 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisym__Id,axiom, % 194.45/194.24 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisym__subset,axiom, % 194.45/194.24 ! [V_s_2,V_r_2,T_b] : % 194.45/194.24 ( 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)) % 194.45/194.24 => ( c_Relation_Oantisym(T_b,V_s_2) % 194.45/194.24 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisym__def,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Oantisym(T_b,V_r_2) % 194.45/194.24 <=> ! [B_x,B_y] : % 194.45/194.24 ( 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)) % 194.45/194.24 => ( 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)) % 194.45/194.24 => B_x = B_y ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisymD,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Oantisym(T_b,V_r_2) % 194.45/194.24 => ( 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)) % 194.45/194.24 => ( 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)) % 194.45/194.24 => V_a_2 = V_b_2 ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_antisym__reflcl,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 194.45/194.24 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_fun__lub__def,axiom, % 194.45/194.24 ! [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)))))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__trans__comp__subset,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__def,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 <=> ! [B_x,B_y] : % 194.45/194.24 ( 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)) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_symD,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => ( 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)) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__rtrancl,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__Id,axiom, % 194.45/194.24 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__Un,axiom, % 194.45/194.24 ! [V_s_2,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => ( c_Relation_Osym(T_b,V_s_2) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__trancl,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__Id__on,axiom, % 194.45/194.24 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_listrel__sym,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__conv__converse__eq,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__converse,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 194.45/194.24 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__Int,axiom, % 194.45/194.24 ! [V_s_2,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => ( c_Relation_Osym(T_b,V_s_2) % 194.45/194.24 => 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)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__Un__converse,axiom, % 194.45/194.24 ! [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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__Int__converse,axiom, % 194.45/194.24 ! [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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_sym__inv__image,axiom, % 194.45/194.24 ! [V_f_2,T_c,V_r_2,T_b] : % 194.45/194.24 ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_equiv__def,axiom, % 194.45/194.24 ! [V_r_2,V_A_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.45/194.24 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.45/194.24 & c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_equivI,axiom, % 194.45/194.24 ! [V_r_2,V_A_2,T_b] : % 194.45/194.24 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.45/194.24 => ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => ( c_Relation_Otrans(T_b,V_r_2) % 194.45/194.24 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_equivE,axiom, % 194.45/194.24 ! [V_r_2,V_A_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 194.45/194.24 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 194.45/194.24 => ( c_Relation_Osym(T_b,V_r_2) % 194.45/194.24 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_symp__def,axiom, % 194.45/194.24 ! [V_r_2,T_b] : % 194.45/194.24 ( c_Predicate_Osymp(T_b,V_r_2) % 194.45/194.24 <=> 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_part__equivpI,axiom, % 194.45/194.24 ! [T_b,V_R_2] : % 194.45/194.24 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 194.45/194.24 => ( c_Predicate_Osymp(T_b,V_R_2) % 194.45/194.24 => ( c_Predicate_Otransp(T_b,V_R_2) % 194.45/194.24 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_part__equivp__refl__symp__transp,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 194.45/194.24 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 194.45/194.24 & c_Predicate_Osymp(T_b,V_R_2) % 194.45/194.24 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_equivp__implies__part__equivp,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 194.45/194.24 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_part__equivp__transp,axiom, % 194.45/194.24 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_part__equivp__symp,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 194.45/194.24 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_part__equivp__def,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 194.45/194.24 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 194.45/194.24 & ! [B_x,B_y] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 194.45/194.24 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 194.45/194.24 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 194.45/194.24 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_part__equivpE,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 194.45/194.24 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 194.45/194.24 => ( c_Predicate_Osymp(T_b,V_R_2) % 194.45/194.24 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_part__equivp__typedef,axiom, % 194.45/194.24 ! [V_R_2,T_b] : % 194.45/194.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 194.45/194.24 => ? [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))))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inj__iff,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 <=> 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__o__cancel,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__def,axiom, % 194.45/194.24 ! [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)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__id,axiom, % 194.45/194.24 ! [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) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__def,axiom, % 194.45/194.24 ! [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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__f__eq,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 194.45/194.24 => 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 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__f__f,axiom, % 194.45/194.24 ! [V_x_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => 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 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__f__f,axiom, % 194.45/194.24 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.45/194.24 => 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 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__f__eq,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 194.45/194.24 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 194.45/194.24 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_f__inv__into__f,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 194.45/194.24 => 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 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__into,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__injective,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 194.45/194.24 ( 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) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 194.45/194.24 => V_x_2 = V_y_2 ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_surj__iff__all,axiom, % 194.45/194.24 ! [V_f_2,T_b,T_c] : % 194.45/194.24 ( 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)) % 194.45/194.24 <=> ! [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 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_surj__f__inv__f,axiom, % 194.45/194.24 ! [V_y_2,V_f_2,T_b,T_c] : % 194.45/194.24 ( 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)) % 194.45/194.24 => 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 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_image__surj__f__inv__f,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_b,T_c] : % 194.45/194.24 ( 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)) % 194.45/194.24 => 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 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_image__inv__into__cancel,axiom, % 194.45/194.24 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 194.45/194.24 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 194.45/194.24 => 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 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inj__imp__surj__inv,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_image__inv__f__f,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => 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 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__image__comp,axiom, % 194.45/194.24 ! [V_X_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => 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 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_surj__imp__inj__inv,axiom, % 194.45/194.24 ! [V_f_2,T_b,T_c] : % 194.45/194.24 ( 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)) % 194.45/194.24 => 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))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__image__cancel,axiom, % 194.45/194.24 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 194.45/194.24 => 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 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inj__on__inv__into,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 194.45/194.24 ( 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))) % 194.45/194.24 => 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_o__inv__o__cancel,axiom, % 194.45/194.24 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__comp,axiom, % 194.45/194.24 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 194.45/194.24 ( 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)) % 194.45/194.24 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 194.45/194.24 => ( 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)))) % 194.45/194.24 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_surj__iff,axiom, % 194.45/194.24 ! [V_f_2,T_b,T_c] : % 194.45/194.24 ( 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)) % 194.45/194.24 <=> 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) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inj__transfer,axiom, % 194.45/194.24 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => ( ! [B_y] : % 194.45/194.24 ( 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))))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) ) % 194.45/194.24 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_fold__image__UN__disjoint,axiom, % 194.45/194.24 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 194.45/194.24 ( class_Groups_Ocomm__monoid__mult(T_d) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 194.45/194.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 194.45/194.24 => ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 194.45/194.24 => ! [B_xa] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 194.45/194.24 => ( B_x != B_xa % 194.45/194.24 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) % 194.45/194.24 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nat__of__induct,axiom, % 194.45/194.24 ! [V_P_2,V_y_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 194.45/194.24 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_nat__of__cases,axiom, % 194.45/194.24 ! [V_y_2] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 194.45/194.24 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_of__nat__induct,axiom, % 194.45/194.24 ! [V_x_2,V_P_2] : % 194.45/194.24 ( ! [B_y] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 194.45/194.24 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 194.45/194.24 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_of__nat__cases,axiom, % 194.45/194.24 ! [V_x_2] : % 194.45/194.24 ~ ! [B_y] : % 194.45/194.24 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 194.45/194.24 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 194.45/194.24 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 194.45/194.24 % 194.45/194.24 fof(fact_Least__Suc2,axiom, % 194.45/194.24 ! [V_m_2,V_Q_2,V_n_2,V_P_2] : % 194.45/194.24 ( hBOOL(hAPP(V_P_2,V_n_2)) % 194.45/194.24 => ( hBOOL(hAPP(V_Q_2,V_m_2)) % 194.45/194.24 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 194.45/194.24 => ( ! [B_k] : % 194.45/194.24 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_k))) % 194.45/194.24 <=> hBOOL(hAPP(V_Q_2,B_k)) ) % 194.45/194.24 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Q_2)) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 194.45/194.24 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_beyond__def,axiom, % 194.45/194.24 ! [V_l,V_k] : % 194.45/194.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 194.45/194.24 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 194.45/194.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 194.45/194.24 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__image__Collect__eq,axiom, % 194.45/194.24 ! [V_P_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_P_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__id,axiom, % 194.45/194.24 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__inv__into,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__into__inv__into__eq,axiom, % 194.45/194.24 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 194.45/194.24 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__imp__bij__inv,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inv__inv__eq,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_o__inv__distrib,axiom, % 194.45/194.24 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__comp__iff2,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2)) % 194.45/194.24 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 194.45/194.24 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__trans,axiom, % 194.45/194.24 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 194.45/194.24 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__comp__iff,axiom, % 194.45/194.24 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 194.45/194.24 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 194.45/194.24 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__comp,axiom, % 194.45/194.24 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 194.45/194.24 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__image__Compl__eq,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bijI,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 194.45/194.24 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__def,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 194.45/194.24 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__subset,axiom, % 194.45/194.24 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 194.45/194.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 194.45/194.24 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 194.45/194.24 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__imp__surj,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__is__surj,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__def,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.45/194.24 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_inj__on__imp__bij__betw,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.45/194.24 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__imp__inj__on,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__is__inj,axiom, % 194.45/194.24 ! [V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__same__card,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_beyond__zero,axiom, % 194.45/194.24 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__the__inv__into,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__empty2,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__empty1,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 194.45/194.24 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_BIJ,axiom, % 194.45/194.24 ! [V_B_2,T_c,V_A_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 194.45/194.24 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 194.45/194.24 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__finite,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 194.45/194.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__id__iff,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 194.45/194.24 <=> V_A_2 = V_B_2 ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__id,axiom, % 194.45/194.24 ! [T_b] : c_Fun_Obij__betw(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))) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__Disj__Un,axiom, % 194.45/194.24 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 194.45/194.24 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 194.45/194.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 194.45/194.24 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 194.45/194.24 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 194.45/194.24 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__betw__combine,axiom, % 194.45/194.24 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 194.45/194.24 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 194.45/194.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 194.45/194.24 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_finite__vimage__iff,axiom, % 194.45/194.24 ! [V_F_2,V_h_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 194.45/194.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__image__INT,axiom, % 194.45/194.24 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => 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)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_vimage__subset__eq,axiom, % 194.45/194.24 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => ( 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)) % 194.45/194.24 <=> 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))) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_bij__vimage__eq__inv__image,axiom, % 194.45/194.24 ! [V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 194.45/194.24 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = 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)),V_A_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 194.45/194.24 ! [V_M_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 194.45/194.24 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_Cantor__Bernstein,axiom, % 194.45/194.24 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 194.45/194.24 => ( 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)) % 194.45/194.24 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 194.45/194.24 => ( 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)) % 194.45/194.24 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_ex__bij__betw__nat__finite,axiom, % 194.45/194.24 ! [V_M_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 194.45/194.24 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_ex__bij__betw__finite__nat,axiom, % 194.45/194.24 ! [V_M_2,T_b] : % 194.45/194.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 194.45/194.24 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_curry__def,axiom, % 194.45/194.24 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_refl__on__UNION,axiom, % 194.45/194.24 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 194.45/194.24 ( ! [B_x] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 194.45/194.24 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 194.45/194.24 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_curryI,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 194.45/194.24 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 194.45/194.24 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_curry__split,axiom, % 194.45/194.24 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ). % 194.45/194.24 % 194.45/194.24 fof(fact_split__curry,axiom, % 194.45/194.24 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ). % 194.45/194.24 % 194.45/194.24 fof(fact_curry__conv,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ). % 194.45/194.24 % 194.45/194.24 fof(fact_curryE,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 194.45/194.24 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 194.45/194.24 % 194.45/194.24 fof(fact_curryD,axiom, % 194.45/194.24 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 194.45/194.24 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 194.45/194.24 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 194.45/194.24 % 194.45/194.24 %----Arity declarations (218) % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 194.45/194.24 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Obounded__lattice(T_1) % 194.45/194.24 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 194.45/194.24 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Obounded__lattice(T_1) % 194.45/194.24 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Obounded__lattice(T_1) % 194.45/194.24 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Olattice(T_1) % 194.45/194.24 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Olattice(T_1) % 194.45/194.24 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Odistrib__lattice(T_1) % 194.45/194.24 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Oboolean__algebra(T_1) % 194.45/194.24 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Orderings_Opreorder,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Orderings_Opreorder(T_1) % 194.45/194.24 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Finite__Set_Ofinite,axiom, % 194.45/194.24 ! [T_1,T_2] : % 194.45/194.24 ( ( class_Finite__Set_Ofinite(T_2) % 194.45/194.24 & class_Finite__Set_Ofinite(T_1) ) % 194.45/194.24 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Lattices_Olattice,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Lattices_Olattice(T_1) % 194.45/194.24 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Orderings_Oorder,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Orderings_Oorder(T_1) % 194.45/194.24 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Orderings_Otop,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Orderings_Otop(T_1) % 194.45/194.24 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Orderings_Oord,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Orderings_Oord(T_1) % 194.45/194.24 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Orderings_Obot,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Orderings_Obot(T_1) % 194.45/194.24 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Groups_Ouminus,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Groups_Ouminus(T_1) % 194.45/194.24 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Groups_Ominus,axiom, % 194.45/194.24 ! [T_2,T_1] : % 194.45/194.24 ( class_Groups_Ominus(T_1) % 194.45/194.24 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_fun__Enum_Oenum,axiom, % 194.45/194.24 ! [T_1,T_2] : % 194.45/194.24 ( ( class_Enum_Oenum(T_2) % 194.45/194.24 & class_Enum_Oenum(T_1) ) % 194.45/194.24 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Com__Ocom__Nat_Osize,axiom, % 194.45/194.24 class_Nat_Osize(tc_Com_Ocom) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 194.45/194.24 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 194.45/194.24 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 194.45/194.24 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 194.45/194.24 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 194.45/194.24 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 194.45/194.24 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 194.45/194.24 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 194.45/194.24 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 194.45/194.24 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 194.45/194.24 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 194.45/194.24 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 194.45/194.24 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 194.45/194.24 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 194.45/194.24 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 194.45/194.24 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 194.45/194.24 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 194.45/194.24 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 194.45/194.24 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 194.45/194.24 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 194.45/194.24 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 194.45/194.24 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 194.45/194.24 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 194.45/194.24 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 194.45/194.24 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 194.45/194.24 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 194.45/194.24 class_Divides_Osemiring__div(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 194.45/194.24 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 194.45/194.24 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 194.45/194.24 class_Groups_Oab__group__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 194.45/194.24 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 194.45/194.24 class_Rings_Oordered__ring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 194.45/194.24 class_Orderings_Opreorder(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 194.45/194.24 class_Orderings_Olinorder(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 194.45/194.24 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 194.45/194.24 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 194.45/194.24 class_Groups_Omonoid__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 194.45/194.24 class_Rings_Osemiring__1(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 194.45/194.24 class_Rings_Osemiring__0(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 194.45/194.24 class_Lattices_Olattice(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 194.45/194.24 class_Groups_Ogroup__add(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 194.45/194.24 class_Divides_Oring__div(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 194.45/194.24 class_Rings_Omult__zero(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 194.45/194.24 class_Orderings_Oorder(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 194.45/194.24 class_Int_Oring__char__0(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 194.45/194.24 class_Int_Onumber__ring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 194.45/194.24 class_Rings_Osemiring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Orderings_Oord,axiom, % 194.45/194.24 class_Orderings_Oord(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 194.45/194.24 class_Groups_Ouminus(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 194.45/194.24 class_Groups_Osgn__if(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 194.45/194.24 class_Groups_Oabs__if(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 194.45/194.24 class_Rings_Oring__1(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ominus,axiom, % 194.45/194.24 class_Groups_Ominus(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Power_Opower,axiom, % 194.45/194.24 class_Power_Opower(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Ozero,axiom, % 194.45/194.24 class_Groups_Ozero(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oring,axiom, % 194.45/194.24 class_Rings_Oring(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Rings_Oidom,axiom, % 194.45/194.24 class_Rings_Oidom(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Int_Onumber,axiom, % 194.45/194.24 class_Int_Onumber(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Int__Oint__Groups_Oone,axiom, % 194.45/194.24 class_Groups_Oone(tc_Int_Oint) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 194.45/194.24 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 194.45/194.24 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 194.45/194.24 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 194.45/194.24 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 194.45/194.24 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 194.45/194.24 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 194.45/194.24 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 194.45/194.24 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 194.45/194.24 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 194.45/194.24 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 194.45/194.24 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 194.45/194.24 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 194.45/194.24 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 194.45/194.24 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 194.45/194.24 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 194.45/194.24 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 194.45/194.24 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 194.45/194.24 class_Orderings_Owellorder(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 194.45/194.24 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 194.45/194.24 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 194.45/194.24 class_Orderings_Opreorder(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 194.45/194.24 class_Orderings_Olinorder(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 194.45/194.24 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 194.45/194.24 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 194.45/194.24 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 194.45/194.24 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 194.45/194.24 class_Lattices_Olattice(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 194.45/194.24 class_Rings_Omult__zero(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 194.45/194.24 class_Orderings_Oorder(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 194.45/194.24 class_Rings_Osemiring(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 194.45/194.24 class_Orderings_Oord(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 194.45/194.24 class_Orderings_Obot(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 194.45/194.24 class_Groups_Ominus(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Power_Opower,axiom, % 194.45/194.24 class_Power_Opower(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 194.45/194.24 class_Groups_Ozero(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Int_Onumber,axiom, % 194.45/194.24 class_Int_Onumber(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Groups_Oone,axiom, % 194.45/194.24 class_Groups_Oone(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nat__Onat__Nat_Osize,axiom, % 194.45/194.24 class_Nat_Osize(tc_Nat_Onat) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 194.45/194.24 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 194.45/194.24 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 194.45/194.24 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 194.45/194.24 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 194.45/194.24 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 194.45/194.24 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 194.45/194.24 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 194.45/194.24 class_Orderings_Opreorder(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 194.45/194.24 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 194.45/194.24 class_Lattices_Olattice(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 194.45/194.24 class_Orderings_Oorder(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 194.45/194.24 class_Orderings_Otop(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 194.45/194.24 class_Orderings_Oord(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 194.45/194.24 class_Orderings_Obot(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 194.45/194.24 class_Groups_Ouminus(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 194.45/194.24 class_Groups_Ominus(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 194.45/194.24 class_Enum_Oenum(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_HOL__Obool__Nat_Osize,axiom, % 194.45/194.24 class_Nat_Osize(tc_HOL_Obool) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Com__Ostate__Nat_Osize,axiom, % 194.45/194.24 class_Nat_Osize(tc_Com_Ostate) ). % 194.45/194.24 % 194.45/194.24 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 194.45/194.24 ! [T_1] : % 194.45/194.24 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 194.45/194.24 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_List__Olist__Nat_Osize,axiom, % 194.45/194.24 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 194.45/194.24 % 194.45/194.24 fof(arity_sum__Finite__Set_Ofinite,axiom, % 194.45/194.24 ! [T_1,T_2] : % 194.45/194.24 ( ( class_Finite__Set_Ofinite(T_2) % 194.45/194.24 & class_Finite__Set_Ofinite(T_1) ) % 194.45/194.24 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_sum__Enum_Oenum,axiom, % 194.45/194.24 ! [T_1,T_2] : % 194.45/194.24 ( ( class_Enum_Oenum(T_2) % 194.45/194.24 & class_Enum_Oenum(T_1) ) % 194.45/194.24 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_sum__Nat_Osize,axiom, % 194.45/194.24 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 194.45/194.24 ! [T_1] : % 194.45/194.24 ( class_Finite__Set_Ofinite(T_1) % 194.45/194.24 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 194.45/194.24 ! [T_1] : % 194.45/194.24 ( class_Enum_Oenum(T_1) % 194.45/194.24 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Option__Ooption__Nat_Osize,axiom, % 194.45/194.24 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 194.45/194.24 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 194.45/194.24 % 194.45/194.24 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 194.45/194.24 ! [T_1,T_2] : % 194.45/194.24 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 194.45/194.24 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 194.45/194.24 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_prod__Finite__Set_Ofinite,axiom, % 194.45/194.24 ! [T_1,T_2] : % 194.45/194.24 ( ( class_Finite__Set_Ofinite(T_2) % 194.45/194.24 & class_Finite__Set_Ofinite(T_1) ) % 194.45/194.24 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_prod__Enum_Oenum,axiom, % 194.45/194.24 ! [T_1,T_2] : % 194.45/194.24 ( ( class_Enum_Oenum(T_2) % 194.45/194.24 & class_Enum_Oenum(T_1) ) % 194.45/194.24 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 194.45/194.24 % 194.45/194.24 fof(arity_prod__Nat_Osize,axiom, % 194.45/194.24 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 194.45/194.24 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 194.45/194.24 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 194.45/194.24 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 194.45/194.24 class_Nat_Osize(tc_Product__Type_Ounit) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 194.45/194.24 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 194.45/194.24 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 194.45/194.24 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 194.45/194.24 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 194.45/194.24 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 194.45/194.24 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 194.45/194.24 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.24 % 194.45/194.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 194.45/194.25 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 194.45/194.25 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 194.45/194.25 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 194.45/194.25 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 194.45/194.25 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 194.45/194.25 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 194.45/194.25 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 194.45/194.25 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 194.45/194.25 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 194.45/194.25 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 194.45/194.25 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 194.45/194.25 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 194.45/194.25 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 194.45/194.25 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 194.45/194.25 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 194.45/194.25 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 194.45/194.25 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 194.45/194.25 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 194.45/194.25 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 194.45/194.25 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 194.45/194.25 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 194.45/194.25 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 194.45/194.25 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 194.45/194.25 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 194.45/194.25 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 194.45/194.25 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 194.45/194.25 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 194.45/194.25 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 194.45/194.25 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 194.45/194.25 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 194.45/194.25 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 194.45/194.25 % 194.45/194.25 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 194.45/194.25 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 194.45/194.25 % 194.45/194.25 %----Helper facts (20) % 194.45/194.25 fof(help_c__COMBI__1,axiom, % 194.45/194.25 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 194.45/194.25 % 194.45/194.25 fof(help_c__COMBK__1,axiom, % 194.45/194.25 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 194.45/194.25 % 194.45/194.25 fof(help_c__COMBB__1,axiom, % 194.45/194.25 ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__COMBC__1,axiom, % 194.45/194.25 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__COMBS__1,axiom, % 194.45/194.25 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fequal__1,axiom, % 194.45/194.25 ! [V_y_2,V_x_2] : % 194.45/194.25 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 194.45/194.25 | V_x_2 = V_y_2 ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fequal__2,axiom, % 194.45/194.25 ! [V_y_2,V_x_2] : % 194.45/194.25 ( V_x_2 != V_y_2 % 194.45/194.25 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fFalse__1,axiom, % 194.45/194.25 ~ hBOOL(c_fFalse) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fTrue__1,axiom, % 194.45/194.25 hBOOL(c_fTrue) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fNot__1,axiom, % 194.45/194.25 ! [V_P_2] : % 194.45/194.25 ( ~ hBOOL(hAPP(c_fNot,V_P_2)) % 194.45/194.25 | ~ hBOOL(V_P_2) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fNot__2,axiom, % 194.45/194.25 ! [V_P_2] : % 194.45/194.25 ( ~ ~ hBOOL(V_P_2) % 194.45/194.25 | hBOOL(hAPP(c_fNot,V_P_2)) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fconj__1,axiom, % 194.45/194.25 ! [V_Q_2,V_P_2] : % 194.45/194.25 ( ~ hBOOL(V_P_2) % 194.45/194.25 | ~ hBOOL(V_Q_2) % 194.45/194.25 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fconj__2,axiom, % 194.45/194.25 ! [V_Q_2,V_P_2] : % 194.45/194.25 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 194.45/194.25 | hBOOL(V_P_2) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fconj__3,axiom, % 194.45/194.25 ! [V_Q_2,V_P_2] : % 194.45/194.25 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 194.45/194.25 | hBOOL(V_Q_2) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fdisj__1,axiom, % 194.45/194.25 ! [V_Q_2,V_P_2] : % 194.45/194.25 ( ~ hBOOL(V_P_2) % 194.45/194.25 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fdisj__2,axiom, % 194.45/194.25 ! [V_P_2,V_Q_2] : % 194.45/194.25 ( ~ hBOOL(V_Q_2) % 194.45/194.25 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fdisj__3,axiom, % 194.45/194.25 ! [V_Q_2,V_P_2] : % 194.45/194.25 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) % 194.45/194.25 | hBOOL(V_P_2) % 194.45/194.25 | hBOOL(V_Q_2) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fimplies__1,axiom, % 194.45/194.25 ! [V_Q_2,V_P_2] : % 194.45/194.25 ( hBOOL(V_P_2) % 194.45/194.25 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fimplies__2,axiom, % 194.45/194.25 ! [V_P_2,V_Q_2] : % 194.45/194.25 ( ~ hBOOL(V_Q_2) % 194.45/194.25 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 194.45/194.25 % 194.45/194.25 fof(help_c__fimplies__3,axiom, % 194.45/194.25 ! [V_Q_2,V_P_2] : % 194.45/194.25 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) % 194.45/194.25 | ~ hBOOL(V_P_2) % 194.45/194.25 | hBOOL(V_Q_2) ) ). % 194.45/194.25 % 194.45/194.25 %----Conjectures (5) % 194.45/194.25 fof(conj_0,hypothesis, % 194.45/194.25 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts) ). % 194.45/194.25 % 194.45/194.25 fof(conj_1,hypothesis, % 194.45/194.25 ! [B_n] : % 194.45/194.25 ( ! [B_x] : % 194.45/194.25 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G_H)) % 194.45/194.25 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) % 194.45/194.25 => ! [B_x] : % 194.45/194.25 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts)) % 194.45/194.25 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ) ). % 194.45/194.25 % 194.45/194.25 fof(conj_2,hypothesis, % 194.45/194.25 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_G_H) ). % 194.45/194.25 % 194.45/194.25 fof(conj_3,hypothesis, % 194.45/194.25 ! [B_n] : % 194.45/194.25 ( ! [B_x] : % 194.45/194.25 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G)) % 194.45/194.25 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) % 194.45/194.25 => ! [B_x] : % 194.45/194.25 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G_H)) % 194.45/194.25 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ) ). % 194.45/194.25 % 194.45/194.25 fof(conj_4,conjecture, % 194.45/194.25 ! [B_n] : % 194.45/194.25 ( ! [B_x] : % 194.45/194.25 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G)) % 194.45/194.25 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) % 194.45/194.25 => ! [B_x] : % 194.45/194.25 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts)) % 194.45/194.25 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ) ). % 194.45/194.25 % 194.45/194.25 %------------------------------------------------------------------------------ % 194.45/194.25 %------------------------------------------- % 194.45/194.25 % Proof found % 194.45/194.25 % SZS status Theorem for theBenchmark % 194.45/194.25 % SZS output start Proof % 194.45/194.25 %ClaNum:10420(EqnAxiom:3066) % 194.45/194.25 %VarNum:71145(SingletonVarNum:20585) % 194.45/194.25 %MaxLitNum:8 % 194.45/194.25 %MaxfuncDepth:13 % 194.45/194.25 %SharedTerms:998 % 194.45/194.25 %goalClause: 3507 4633 5730 % 194.45/194.25 %singleGoalClaCount:2 % 194.45/194.25 [3070]P1(a187) % 194.45/194.25 [3071]P2(a916) % 194.45/194.25 [3072]P61(a916) % 194.45/194.25 [3073]P61(a920) % 194.45/194.25 [3074]P61(a1) % 194.45/194.25 [3075]P61(a101) % 194.45/194.25 [3076]P62(a916) % 194.45/194.25 [3077]P62(a920) % 194.45/194.25 [3078]P111(a916) % 194.45/194.25 [3079]P111(a920) % 194.45/194.25 [3080]P111(a1) % 194.45/194.25 [3081]P111(a101) % 194.45/194.25 [3082]P112(a920) % 194.45/194.25 [3083]P112(a1) % 194.45/194.25 [3084]P112(a101) % 194.45/194.25 [3085]P113(a916) % 194.45/194.25 [3086]P113(a920) % 194.45/194.25 [3087]P113(a1) % 194.45/194.25 [3088]P113(a101) % 194.45/194.25 [3089]P114(a920) % 194.45/194.25 [3090]P114(a1) % 194.45/194.25 [3091]P114(a101) % 194.45/194.25 [3092]P115(a916) % 194.45/194.25 [3093]P63(a916) % 194.45/194.25 [3094]P63(a920) % 194.45/194.25 [3095]P63(a1) % 194.45/194.25 [3096]P64(a916) % 194.45/194.25 [3097]P64(a920) % 194.45/194.25 [3098]P64(a1) % 194.45/194.25 [3099]P64(a101) % 194.45/194.25 [3100]P84(a916) % 194.45/194.25 [3101]P85(a916) % 194.45/194.25 [3102]P105(a916) % 194.45/194.25 [3103]P105(a920) % 194.45/194.25 [3104]P105(a1) % 194.45/194.25 [3105]P86(a1) % 194.45/194.25 [3106]P65(a1) % 194.45/194.25 [3107]P90(a916) % 194.45/194.25 [3108]P107(a916) % 194.45/194.25 [3109]P107(a920) % 194.45/194.25 [3110]P107(a1) % 194.45/194.25 [3111]P91(a916) % 194.45/194.25 [3112]P91(a1) % 194.45/194.25 [3113]P74(a1) % 194.45/194.25 [3114]P106(a916) % 194.45/194.25 [3115]P106(a920) % 194.45/194.25 [3116]P106(a1) % 194.45/194.25 [3117]P75(a920) % 194.45/194.25 [3118]P75(a1) % 194.45/194.25 [3119]P75(a101) % 194.45/194.25 [3120]P116(a1) % 194.45/194.25 [3121]P124(a1) % 194.45/194.25 [3122]P66(a916) % 194.45/194.25 [3123]P66(a923) % 194.45/194.25 [3124]P125(a1) % 194.45/194.25 [3125]P77(a920) % 194.45/194.25 [3126]P77(a1) % 194.45/194.25 [3127]P77(a101) % 194.45/194.25 [3128]P92(a920) % 194.45/194.25 [3129]P92(a1) % 194.45/194.25 [3130]P92(a101) % 194.45/194.25 [3131]P76(a920) % 194.45/194.25 [3132]P76(a1) % 194.45/194.25 [3133]P76(a101) % 194.45/194.25 [3134]P78(a920) % 194.45/194.25 [3135]P78(a1) % 194.45/194.25 [3136]P78(a101) % 194.45/194.25 [3137]P79(a920) % 194.45/194.25 [3138]P79(a1) % 194.45/194.25 [3139]P79(a101) % 194.45/194.25 [3140]P93(a920) % 194.45/194.25 [3141]P93(a1) % 194.45/194.25 [3142]P93(a101) % 194.45/194.25 [3143]P94(a920) % 194.45/194.25 [3144]P94(a1) % 194.45/194.25 [3145]P94(a101) % 194.45/194.25 [3146]P117(a920) % 194.45/194.25 [3147]P117(a1) % 194.45/194.25 [3148]P117(a101) % 194.45/194.25 [3149]P142(a920) % 194.45/194.25 [3150]P142(a1) % 194.45/194.25 [3151]P142(a101) % 194.45/194.25 [3152]P128(a1) % 194.45/194.25 [3153]P118(a1) % 194.45/194.25 [3154]P121(a920) % 194.45/194.25 [3155]P121(a1) % 194.45/194.25 [3156]P121(a101) % 194.45/194.25 [3157]P147(a920) % 194.45/194.25 [3158]P147(a1) % 194.45/194.25 [3159]P87(a920) % 194.45/194.25 [3160]P87(a1) % 194.45/194.25 [3161]P87(a101) % 194.45/194.25 [3162]P88(a920) % 194.45/194.25 [3163]P88(a1) % 194.45/194.25 [3164]P88(a101) % 194.45/194.25 [3165]P81(a920) % 194.45/194.25 [3166]P81(a1) % 194.45/194.25 [3167]P81(a101) % 194.45/194.25 [3168]P129(a920) % 194.45/194.25 [3169]P129(a1) % 194.45/194.25 [3170]P129(a101) % 194.45/194.25 [3171]P143(a1) % 194.45/194.25 [3172]P132(a1) % 194.45/194.25 [3173]P135(a920) % 194.45/194.25 [3174]P135(a1) % 194.45/194.25 [3175]P135(a101) % 194.45/194.25 [3176]P99(a920) % 194.45/194.25 [3177]P99(a1) % 194.45/194.25 [3178]P99(a101) % 194.45/194.25 [3179]P89(a920) % 194.45/194.25 [3180]P89(a1) % 194.45/194.25 [3181]P89(a101) % 194.45/194.25 [3182]P82(a1) % 194.45/194.25 [3183]P136(a920) % 194.45/194.25 [3184]P136(a1) % 194.45/194.25 [3185]P136(a101) % 194.45/194.25 [3186]P145(a1) % 194.45/194.25 [3187]P148(a920) % 194.45/194.25 [3188]P148(a1) % 194.45/194.25 [3189]P148(a101) % 194.45/194.25 [3190]P96(a920) % 194.45/194.25 [3191]P96(a1) % 194.45/194.25 [3192]P96(a101) % 194.45/194.25 [3193]P138(a920) % 194.45/194.25 [3194]P138(a1) % 194.45/194.25 [3195]P138(a101) % 194.45/194.25 [3196]P140(a920) % 194.45/194.25 [3197]P140(a1) % 194.45/194.25 [3198]P140(a101) % 194.45/194.25 [3199]P139(a920) % 194.45/194.25 [3200]P139(a1) % 194.45/194.25 [3201]P139(a101) % 194.45/194.25 [3202]P130(a1) % 194.45/194.25 [3203]P131(a1) % 194.45/194.25 [3204]P126(a920) % 194.45/194.25 [3205]P126(a1) % 194.45/194.25 [3206]P126(a101) % 194.45/194.25 [3207]P137(a920) % 194.45/194.25 [3208]P137(a1) % 194.45/194.25 [3209]P137(a101) % 194.45/194.25 [3210]P133(a920) % 194.45/194.25 [3211]P133(a1) % 194.45/194.25 [3212]P133(a101) % 194.45/194.25 [3213]P134(a1) % 194.45/194.25 [3214]P144(a1) % 194.45/194.25 [3215]P100(a1) % 194.45/194.25 [3216]P119(a920) % 194.45/194.25 [3217]P119(a1) % 194.45/194.25 [3218]P119(a101) % 194.45/194.25 [3219]P146(a920) % 194.45/194.25 [3220]P146(a1) % 194.45/194.25 [3221]P146(a101) % 194.45/194.25 [3222]P97(a1) % 194.45/194.25 [3223]P67(a920) % 194.45/194.25 [3224]P67(a1) % 194.45/194.25 [3225]P67(a101) % 194.45/194.25 [3226]P68(a1) % 194.45/194.25 [3227]P101(a920) % 194.45/194.25 [3228]P101(a1) % 194.45/194.25 [3229]P101(a101) % 194.45/194.25 [3230]P102(a1) % 194.45/194.25 [3231]P108(a920) % 194.45/194.25 [3232]P108(a1) % 194.45/194.25 [3233]P108(a101) % 194.45/194.25 [3234]P95(a1) % 194.45/194.25 [3235]P141(a1) % 194.45/194.25 [3236]P80(a1) % 194.45/194.25 [3237]P120(a920) % 194.45/194.25 [3238]P83(a920) % 194.45/194.25 [3239]P83(a1) % 194.45/194.25 [3240]P83(a101) % 194.45/194.25 [3241]P98(a920) % 194.45/194.25 [3242]P98(a1) % 194.45/194.25 [3243]P98(a101) % 194.45/194.25 [3244]P69(a916) % 194.45/194.25 [3245]P69(a923) % 194.45/194.25 [3246]P110(a916) % 194.45/194.25 [3247]P110(a920) % 194.45/194.25 [3248]P110(a923) % 194.45/194.25 [3249]P110(a917) % 194.45/194.25 [3250]P110(a101) % 194.45/194.25 [3251]P110(a918) % 194.45/194.25 [3252]P110(a320) % 194.45/194.25 [3253]P109(a923) % 194.45/194.25 [3254]P109(a1) % 194.45/194.25 [3255]P104(a916) % 194.45/194.25 [3271]P35(a920,a240) % 194.45/194.25 [3272]P35(a920,a314) % 194.45/194.25 [3273]P36(a920,a240) % 194.45/194.25 [3353]P11(a915,a929,a931) % 194.45/194.25 [3354]P11(a915,a930,a929) % 194.45/194.25 [3355]P38(a920,a920,a114) % 194.45/194.25 [4611]~E(a99,a82) % 194.45/194.25 [4612]~P1(a239) % 194.45/194.25 [4633]~P25(a915,a848,a847) % 194.45/194.25 [3067]E(f2(a1),a82) % 194.45/194.25 [3068]E(f3(a101),a4) % 194.45/194.25 [3069]E(f102(a101),a5) % 194.45/194.25 [3256]E(f103(a920),f188(a920)) % 194.45/194.25 [3257]E(f189(a920),f2(a920)) % 194.45/194.25 [3258]E(f28(a25),f2(a920)) % 194.45/194.25 [3259]E(f112(a920),f233(a920)) % 194.45/194.25 [3260]E(f104(a1),f31(a1)) % 194.45/194.25 [3261]E(f83(a239),f2(a920)) % 194.45/194.25 [3262]E(f83(a187),f2(a920)) % 194.45/194.25 [3263]P3(f77(a1)) % 194.45/194.25 [3264]P3(f2(a1)) % 194.45/194.25 [3320]P35(f927(a920,a920),a32) % 194.45/194.25 [3665]E(f317(a920,a920,a240,a240),a32) % 194.45/194.25 [4613]~E(f77(a1),f2(a1)) % 194.45/194.25 [3265]E(f6(f2(a101)),f2(a920)) % 194.45/194.25 [3266]E(f113(f2(a920)),f2(a920)) % 194.45/194.25 [3275]E(f324(f78(a1),a82),a82) % 194.45/194.25 [3278]E(f324(a114,f2(a920)),f77(a920)) % 194.45/194.25 [3279]E(f324(a106,f77(a1)),f77(a920)) % 194.45/194.25 [3280]E(f324(a5,f77(a920)),f77(a101)) % 194.45/194.25 [3282]E(f324(a5,f2(a920)),f2(a101)) % 194.45/194.25 [3284]E(f324(f105(a1),a82),f2(a1)) % 194.45/194.25 [3285]E(f324(f105(a101),a82),f2(a101)) % 194.45/194.25 [3286]E(f324(a106,f2(a1)),f2(a920)) % 194.45/194.25 [3287]E(f324(f190(a916),a239),f2(a920)) % 194.45/194.25 [3288]E(f324(f190(a916),a187),f2(a920)) % 194.45/194.25 [3289]E(f324(f190(a917),a25),f2(a920)) % 194.45/194.25 [3290]E(f324(f105(a920),a82),f2(a920)) % 194.45/194.25 [3296]E(f324(f78(a1),f77(a1)),a99) % 194.45/194.25 [3303]E(f324(f78(a1),f2(a1)),f2(a1)) % 194.45/194.25 [3305]E(f324(f190(a101),f2(a101)),f2(a920)) % 194.45/194.25 [3306]E(f324(f102(a1),f77(a920)),f77(a1)) % 194.45/194.25 [3307]E(f324(f102(a1),f2(a920)),f2(a1)) % 194.45/194.25 [3317]E(f324(a106,f77(a1)),f324(a114,f2(a920))) % 194.45/194.25 [3318]E(f315(f927(a920,a920),a32),a33) % 194.45/194.25 [3319]E(f316(f927(a920,a920),a32),a34) % 194.45/194.25 [3345]E(f324(f280(a920),f2(a920)),f189(f928(a920,a916))) % 194.45/194.25 [3346]E(f324(f281(a920),f2(a920)),f242(f928(a920,a916))) % 194.45/194.25 [3357]P39(f189(f928(a1,a916))) % 194.45/194.25 [3391]E(f324(f324(f3(a101),f2(a101)),f77(a101)),f2(a101)) % 194.45/194.25 [3465]P1(f324(f324(f235(a1),a99),f2(a1))) % 194.45/194.25 [3489]P1(f324(f324(f234(a1),f2(a1)),f77(a1))) % 194.45/194.25 [3491]P1(f324(f324(f235(a1),f2(a1)),f77(a1))) % 194.45/194.25 [3698]E(f324(f324(f286(a920,a920,a920),a314),f304(a920,a314)),a240) % 194.45/194.25 [3736]P41(a1,a920,a106,f324(f234(a1),f2(a1))) % 194.45/194.25 [3740]E(f324(f324(f39(a920,f928(a920,a916)),f242(f928(a920,a916))),f301(a920)),f189(f928(a920,a916))) % 194.45/194.25 [3741]E(f324(f324(f40(a920,f928(a920,a916)),f242(f928(a920,a916))),f280(a920)),f242(f928(a920,a916))) % 194.45/194.25 [3742]E(f324(f324(f40(a920,f928(a920,a916)),f242(f928(a920,a916))),f298(a920)),f242(f928(a920,a916))) % 194.45/194.25 [3743]E(f324(f324(f40(a920,f928(a920,a916)),f242(f928(a920,a916))),f281(a920)),f242(f928(a920,a916))) % 194.45/194.25 [3759]P22(a920,a1,f102(a1),f242(f928(a920,a916))) % 194.45/194.25 [3773]P41(a920,a1,f102(a1),f324(f18(a916,a920),a187)) % 194.45/194.25 [3909]E(f324(f72(a920,a101,a1,a5),a106),f105(a101)) % 194.45/194.25 [4130]P57(a101,a920,a22,a5,f242(f928(a920,a916))) % 194.45/194.25 [4136]P57(a1,f928(f927(a920,a920),a916),a108,a88,a100) % 194.45/194.25 [4390]E(f258(a1,a1,a1,a1,f31(a1),f78(a1)),a51) % 194.45/194.25 [4628]~E(f324(f105(a1),a99),f324(f105(a1),a82)) % 194.45/194.25 [4629]~P1(f324(a194,f77(a1))) % 194.45/194.25 [4630]~P1(f324(a194,f2(a1))) % 194.45/194.25 [4668]~P1(f324(f324(f235(a1),a82),f2(a1))) % 194.45/194.25 [3337]E(f324(f324(f3(a1),a99),a99),a82) % 194.45/194.25 [3352]E(f324(f102(a1),f324(a114,f2(a920))),f77(a1)) % 194.45/194.25 [3420]E(f324(f35(a923),f242(f928(a923,a916))),f77(a920)) % 194.45/194.25 [3440]P1(f324(a194,f324(f105(a1),a99))) % 194.45/194.25 [3442]P1(f324(f324(f234(a1),a99),a82)) % 194.45/194.25 [3444]P1(f324(f324(f235(a1),a99),a82)) % 194.45/194.25 [3500]E(f324(f324(f306(a920),f2(a920)),f189(f928(a920,a916))),f324(f298(a920),f2(a920))) % 194.45/194.25 [3556]P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),a82))) % 194.45/194.25 [3568]E(f324(f307(a920,a920,a114),f242(f928(a920,a916))),f324(f301(a920),f2(a920))) % 194.45/194.25 [3605]P5(f927(a920,a920),f242(f928(f927(a920,a920),a916)),a110) % 194.45/194.25 [3916]E(f324(f72(a920,a1,a101,f102(a1)),a22),a24) % 194.45/194.25 [3977]P35(a920,f324(f262(f927(a920,a920)),f324(f257(a920,a920,a916),f235(a920)))) % 194.45/194.25 [4659]~P1(f324(a194,f324(f105(a1),a82))) % 194.45/194.25 [4660]~P1(f324(f324(f234(a1),a82),a99)) % 194.45/194.25 [4661]~P1(f324(f324(f235(a1),a82),a82)) % 194.45/194.25 [4662]~P1(f324(f324(f235(a1),a82),a99)) % 194.45/194.25 [4663]~P1(f324(f324(f235(a1),a99),a99)) % 194.45/194.25 [4674]~P1(f324(f61(a920),f242(f928(a920,a916)))) % 194.45/194.25 [4675]~P1(f324(f61(a1),f242(f928(a1,a916)))) % 194.45/194.25 [3507]P1(f324(f324(f326(f919(a915)),a847),a931)) % 194.45/194.25 [4556]E(f324(f257(a1,a1,a916),f324(f324(f10(f928(a1,a916),f928(a1,a916),a1),f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f235(a1),f2(a1))))),f324(f324(f9(a1,a1,f928(a1,a916)),f324(f324(f10(f928(a1,f928(a1,a916)),f928(a1,f928(a1,a916)),a1),f9(a1,a1,a916)),f324(f324(f10(f928(a1,a1),f928(a1,f928(a1,a916)),a1),f324(f10(a1,f928(a1,a916),a1),a321)),a218))),f77(a1)))),a214) % 194.45/194.25 [3640]E(f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99),f324(f78(a1),a99)) % 194.45/194.25 [3680]E(f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99),f324(f324(f3(a1),a82),a99)) % 194.45/194.25 [3842]E(f324(f324(f60(f927(a920,a920)),f242(f928(f927(a920,a920),a916))),a110),a100) % 194.45/194.25 [3871]E(f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f77(a1)) % 194.45/194.25 [3872]E(f324(f105(a101),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f77(a101)) % 194.45/194.25 [3873]E(f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f77(a920)) % 194.45/194.25 [3877]E(f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(a114,f2(a920))) % 194.45/194.25 [4258]E(f324(f324(f112(f928(f927(f927(a920,a920),f927(a920,a920)),a916)),a32),f304(f927(a920,a920),f189(f928(f927(f927(a920,a920),f927(a920,a920)),a916)))),a70) % 194.45/194.25 [4324]E(f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),f77(a920)),f2(a920))),f189(f928(f927(a920,a920),a916))))),f77(a1)) % 194.45/194.25 [4325]E(f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),f2(a920)),f2(a920))),f189(f928(f927(a920,a920),a916))))),f2(a1)) % 194.45/194.25 [4338]E(f324(f262(f927(a920,a920)),f324(f257(a920,a920,a916),f324(f324(f10(a920,f928(a920,a916),a920),f324(f9(a920,a920,a916),a321)),a114))),a314) % 194.45/194.25 [4310]E(f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),f324(a114,f324(a114,f2(a920)))) % 194.45/194.25 [4313]E(f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),f324(f324(f79(a920),f77(a920)),f77(a920))) % 194.45/194.25 [4314]E(f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),f324(f35(a916),f242(f928(a916,a916)))) % 194.45/194.25 [4377]P3(f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))) % 194.45/194.25 [4446]P24(f928(f927(a920,a920),a916),f324(f324(f252(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916),f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),a33),a71)) % 194.45/194.25 [4447]P24(f928(f927(a920,a920),a916),f324(f324(f252(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916),f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),a34),a69)) % 194.45/194.25 [4487]E(f324(f324(f112(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),f315(f927(a920,a920),a70)),f324(f324(f306(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),f189(f928(f927(a920,a920),a916)))),f189(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)))),a71) % 194.45/194.25 [4488]E(f324(f324(f112(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),f316(f927(a920,a920),a70)),f324(f324(f306(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),f189(f928(f927(a920,a920),a916)))),f189(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)))),a69) % 194.45/194.25 [4379]E(f324(a106,f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(a114,f324(a114,f2(a920)))) % 194.45/194.25 [4424]E(f324(f102(a1),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))) % 194.45/194.25 [4457]P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.25 [4458]E(f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99)),f324(a114,f324(a114,f324(a114,f2(a920))))) % 194.45/194.25 [4502]P3(f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))) % 194.45/194.25 [4528]E(f324(f102(a1),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))) % 194.45/194.25 [4541]P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99)))) % 194.45/194.25 [3274]P4(x32741,a321) % 194.45/194.25 [3666]P22(a920,a920,a114,x36661) % 194.45/194.25 [3267]P110(f919(x32671)) % 194.45/194.25 [3268]P110(f924(x32681)) % 194.45/194.25 [3269]P110(f921(x32691)) % 194.45/194.25 [3270]P110(f922(x32701)) % 194.45/194.25 [3291]P35(a1,f107(x32911)) % 194.45/194.25 [3292]P35(a1,f109(x32921)) % 194.45/194.25 [3341]P35(f928(x33411,a916),f311(x33411)) % 194.45/194.25 [3342]P36(f928(x33421,a916),f311(x33421)) % 194.45/194.25 [3369]E(f243(x33691,x33691,a321),a321) % 194.45/194.25 [3384]E(f45(a1,x33841,x33841),f2(a1)) % 194.45/194.25 [3437]P12(x34371,f928(x34371,a916),f306(x34371)) % 194.45/194.25 [4615]~E(f324(a114,x46151),x46151) % 194.45/194.25 [4625]~E(f324(a114,x46251),f2(a920)) % 194.45/194.25 [3276]E(f324(f190(a920),x32761),x32761) % 194.45/194.25 [3277]E(f324(f105(a1),x32771),x32771) % 194.45/194.25 [3293]E(f324(a88,f325(x32931)),x32931) % 194.45/194.25 [3294]E(f324(a5,f609(x32941)),x32941) % 194.45/194.25 [3295]E(f241(x32951,f2(a101)),f2(a101)) % 194.45/194.25 [3308]E(f116(x33081,f115(x33081)),f115(x33081)) % 194.45/194.25 [3309]E(f152(x33091,f115(x33091)),f115(x33091)) % 194.45/194.25 [3314]E(f324(f167(x33141),f115(x33141)),f115(x33141)) % 194.45/194.25 [3315]E(f324(f171(x33151),f115(x33151)),f115(x33151)) % 194.45/194.25 [3316]E(f324(f168(x33161),f115(x33161)),f115(x33161)) % 194.45/194.25 [3321]E(f324(f105(a1),x33211),f324(f104(a1),x33211)) % 194.45/194.25 [3322]E(f324(a88,f324(a108,x33221)),x33221) % 194.45/194.25 [3324]E(f324(a5,f324(a22,x33241)),x33241) % 194.45/194.25 [3325]E(f324(a22,f324(a5,x33251)),x33251) % 194.45/194.25 [3326]P3(f324(f102(a1),x33261)) % 194.45/194.25 [3335]E(f324(f190(f921(x33351)),f115(x33351)),f2(a920)) % 194.45/194.25 [3336]E(f324(f190(f922(x33361)),f121(x33361)),f2(a920)) % 194.45/194.25 [3360]E(f324(f324(f3(a920),x33601),f2(a920)),x33601) % 194.45/194.25 [3361]E(f324(f324(f80(a920),x33611),f77(a920)),x33611) % 194.45/194.25 [3362]E(f324(f324(f80(a1),x33621),f77(a1)),x33621) % 194.45/194.25 [3363]E(f324(f324(f79(a920),x33631),f2(a920)),x33631) % 194.45/194.25 [3364]E(f324(f324(f79(a1),x33641),f2(a1)),x33641) % 194.45/194.25 [3365]E(f324(f324(f233(a920),x33651),f2(a920)),x33651) % 194.45/194.25 [3366]E(f324(f324(f188(a920),x33661),f2(a920)),f2(a920)) % 194.45/194.25 [3367]E(f324(f324(f80(a920),x33671),f2(a920)),f2(a920)) % 194.45/194.25 [3368]E(f324(f324(f36(a1),x33681),f2(a1)),f2(a1)) % 194.45/194.25 [3375]E(f324(f172(x33751),f115(x33751)),f189(f928(x33751,a916))) % 194.45/194.25 [3379]P1(f324(f137(x33791),f115(x33791))) % 194.45/194.25 [3385]E(f324(f154(x33851,x33851),f7(x33851)),f31(f921(x33851))) % 194.45/194.25 [3386]E(f324(f154(x33861,x33861),f31(x33861)),f31(f921(x33861))) % 194.45/194.25 [3387]E(f45(a1,x33871,f2(a1)),x33871) % 194.45/194.25 [3388]E(f324(f234(a920),f324(a114,x33881)),f324(f235(a920),x33881)) % 194.45/194.25 [3389]E(f324(f280(a920),f324(a114,x33891)),f324(f298(a920),x33891)) % 194.45/194.25 [3390]E(f324(f281(a920),f324(a114,x33901)),f324(f301(a920),x33901)) % 194.45/194.25 [3392]E(f45(a1,f2(a1),x33921),f2(a1)) % 194.45/194.25 [3405]E(f324(f324(f79(a920),x34051),f77(a920)),f324(a114,x34051)) % 194.45/194.25 [3414]E(f324(f299(a920,x34141),f2(a920)),f189(f928(a920,a916))) % 194.45/194.25 [3426]E(f300(a920,f2(a920),x34261),f324(f298(a920),x34261)) % 194.45/194.25 [3468]E(f324(f324(f3(a920),f324(a114,x34681)),f77(a920)),x34681) % 194.45/194.25 [3480]E(f47(f2(a1),x34801),f324(f324(f252(a1,a1),f2(a1)),f2(a1))) % 194.45/194.25 [3531]P1(f324(f324(f235(a920),x35311),f324(a114,x35311))) % 194.45/194.25 [3543]P1(f324(f324(f235(a920),f2(a920)),f324(a114,x35431))) % 194.45/194.25 [3772]E(f91(x37721,x37721,f242(f928(x37721,a916)),f31(x37721)),f31(x37721)) % 194.45/194.25 [3829]E(f324(f324(f3(a101),f324(a5,f324(a114,f324(a22,x38291)))),f77(a101)),x38291) % 194.45/194.25 [3900]P1(f324(f324(f234(a1),f324(f78(a1),f324(f102(a1),x39001))),f2(a1))) % 194.45/194.25 [4046]P1(f324(f324(f235(a1),f324(f78(a1),f324(f102(a1),f324(a114,x40461)))),f2(a1))) % 194.45/194.25 [4636]~E(f242(f928(x46361,a916)),f189(f928(x46361,a916))) % 194.45/194.25 [4671]~P1(f324(f324(f235(a920),x46711),f2(a920))) % 194.45/194.25 [4684]~P1(f324(f324(f235(a1),f324(f102(a1),x46841)),f2(a1))) % 194.45/194.25 [3340]E(f179(x33401,f115(f921(x33401))),f115(f921(x33401))) % 194.45/194.25 [3343]E(f324(f324(f80(a1),a82),x33431),a82) % 194.45/194.25 [3344]E(f324(f324(f79(a1),a82),x33441),x33441) % 194.45/194.25 [3347]E(f324(a106,f324(f102(a1),x33471)),x33471) % 194.45/194.25 [3348]E(f324(f324(f3(a1),x33481),a82),x33481) % 194.45/194.25 [3349]E(f324(f324(f79(a1),x33491),a82),x33491) % 194.45/194.25 [3351]E(f324(f324(f3(a920),x33511),x33511),f2(a920)) % 194.45/194.25 [3358]E(f324(f78(a1),f324(f78(a1),x33581)),x33581) % 194.45/194.25 [3359]E(f324(f35(a920),f324(f280(a920),x33591)),x33591) % 194.45/194.25 [3370]E(f324(f324(f80(a920),f77(a920)),x33701),x33701) % 194.45/194.25 [3371]E(f324(f324(f80(a1),f77(a1)),x33711),x33711) % 194.45/194.25 [3372]E(f324(f324(f79(a920),f2(a920)),x33721),x33721) % 194.45/194.25 [3373]E(f324(f324(f79(a1),f2(a1)),x33731),x33731) % 194.45/194.25 [3374]E(f324(f324(f233(a920),f2(a920)),x33741),x33741) % 194.45/194.25 [3380]E(f324(f324(f3(a920),f2(a920)),x33801),f2(a920)) % 194.45/194.25 [3381]E(f324(f324(f188(a920),f2(a920)),x33811),f2(a920)) % 194.45/194.25 [3382]E(f324(f324(f80(a920),f2(a920)),x33821),f2(a920)) % 194.45/194.25 [3383]E(f324(f324(f36(a1),f2(a1)),x33831),f2(a1)) % 194.45/194.25 [3393]E(f129(x33931,f324(f78(a1),x33931)),f132(a1,x33931)) % 194.45/194.25 [3398]E(f324(f299(a920,f2(a920)),x33981),f324(f280(a920),x33981)) % 194.45/194.25 [3399]E(f324(f324(f80(a1),a99),x33991),f324(f78(a1),x33991)) % 194.45/194.25 [3407]E(f324(a106,f324(f105(a1),x34071)),f324(f105(a920),x34071)) % 194.45/194.25 [3408]E(f324(a22,f324(f105(a101),x34081)),f324(f105(a920),x34081)) % 194.45/194.25 [3409]E(f324(f35(a920),f324(f298(a920),x34091)),f324(a114,x34091)) % 194.45/194.25 [3418]E(f324(f324(f79(a920),f77(a920)),x34181),f324(a114,x34181)) % 194.45/194.25 [3422]E(f324(f104(a1),f324(f102(a1),x34221)),f324(f102(a1),x34221)) % 194.45/194.25 [3423]E(f324(f75(a1),f324(f102(a1),x34231)),f324(f102(a1),x34231)) % 194.45/194.25 [3427]E(f324(f35(x34271),f189(f928(x34271,a916))),f2(a920)) % 194.45/194.25 [3429]E(f324(f324(f36(a920),x34291),f324(a114,f2(a920))),x34291) % 194.45/194.25 [3438]E(f45(a920,x34381,f324(a114,f2(a920))),f2(a920)) % 194.45/194.25 [3439]E(f45(a1,x34391,f324(f105(a1),a99)),f2(a1)) % 194.45/194.25 [3453]E(f324(f324(f36(a1),x34531),f324(f105(a1),a99)),f324(f78(a1),x34531)) % 194.45/194.25 [3457]E(f139(a920,f324(f299(a920,x34571),f2(a920))),f115(a920)) % 194.45/194.25 [3458]E(f324(f324(f79(a1),x34581),f77(a1)),f324(f324(f3(a1),x34581),a99)) % 194.45/194.25 [3459]E(f324(f324(f3(a1),x34591),f77(a1)),f324(f324(f79(a1),x34591),a99)) % 194.45/194.25 [3463]P1(f324(f324(f234(a920),x34631),x34631)) % 194.45/194.25 [3464]P1(f324(f324(f234(a1),x34641),x34641)) % 194.45/194.25 [3469]E(f324(f78(a1),f324(f105(a1),x34691)),f324(f105(a1),f324(f78(a1),x34691))) % 194.45/194.25 [3470]P1(f324(f61(a920),f324(f280(a920),x34701))) % 194.45/194.25 [3471]P1(f324(f61(a920),f324(f298(a920),x34711))) % 194.45/194.25 [3478]E(f161(x34781,f242(f928(x34781,a916))),f242(f928(f921(x34781),a916))) % 194.45/194.25 [3483]P1(f324(f324(f234(a920),f2(a920)),x34831)) % 194.45/194.25 [3493]E(f324(f324(f79(a920),f113(x34931)),f324(a114,f2(a920))),f113(f324(a114,x34931))) % 194.45/194.25 [3494]E(f324(f262(x34941),f324(f18(a916,x34941),a239)),f189(f928(x34941,a916))) % 194.45/194.25 [3495]E(f324(f262(x34951),f324(f18(a916,x34951),a187)),f242(f928(x34951,a916))) % 194.45/194.25 [3499]E(f324(f324(f306(a920),x34991),f324(f280(a920),x34991)),f324(f280(a920),f324(a114,x34991))) % 194.45/194.25 [3512]E(f324(f324(f79(a1),f77(a1)),f324(f102(a1),x35121)),f324(f102(a1),f324(a114,x35121))) % 194.45/194.25 [3514]E(f324(f324(f151(f921(x35141)),f115(x35141)),f115(f921(x35141))),f54(x35141,f115(x35141))) % 194.45/194.25 [3534]E(f189(f928(f927(x35341,x35341),a916)),f263(x35341,f189(f928(x35341,a916)))) % 194.45/194.25 [3535]E(f324(f305(x35351),f242(f928(x35351,a916))),f242(f928(f928(x35351,a916),a916))) % 194.45/194.25 [3536]E(f324(f78(f928(x35361,a916)),f189(f928(x35361,a916))),f242(f928(x35361,a916))) % 194.45/194.25 [3537]E(f324(f78(f928(x35371,a916)),f242(f928(x35371,a916))),f189(f928(x35371,a916))) % 194.45/194.25 [3539]P1(f324(f61(x35391),f189(f928(x35391,a916)))) % 194.45/194.25 [3541]E(f324(f299(a920,x35411),f324(a114,x35411)),f324(f324(f306(a920),x35411),f189(f928(a920,a916)))) % 194.45/194.25 [3542]E(f84(f927(a920,a920),f48(x35421,f2(a920))),f324(f324(f252(a920,a920),f2(a920)),x35421)) % 194.45/194.25 [3555]E(f324(f324(f306(a920),f324(a114,x35551)),f324(f298(a920),x35551)),f324(f298(a920),f324(a114,x35551))) % 194.45/194.25 [3559]P35(x35591,f189(f928(f927(x35591,x35591),a916))) % 194.45/194.25 [3560]P37(x35601,f189(f928(f927(x35601,x35601),a916))) % 194.45/194.25 [3563]P1(f324(f324(f234(a1),f2(a1)),f324(f102(a1),x35631))) % 194.45/194.25 [3570]E(f324(f324(f79(a920),f324(f190(a920),x35701)),f324(a114,f2(a920))),f324(f190(a920),f324(a114,x35701))) % 194.45/194.25 [3673]P39(f324(f307(a920,a1,f102(a1)),x36731)) % 194.45/194.25 [3712]P53(x37121,f189(f928(x37121,a916)),f189(f928(f927(x37121,x37121),a916))) % 194.45/194.25 [3732]E(f324(f324(f252(a1,a1),f324(f105(a1),a99)),f324(f324(f3(a1),x37321),f77(a1))),f50(f324(f105(a1),a99),x37321)) % 194.45/194.25 [3785]P60(x37851,f324(f18(f928(x37851,a916),x37851),f324(f18(a916,x37851),a239))) % 194.45/194.25 [3989]P1(f324(f324(f326(f928(f927(a920,a920),a916)),f325(x39891)),a100)) % 194.45/194.25 [4014]P1(f324(f324(f326(f928(f927(a920,a920),a916)),f324(a108,x40141)),a100)) % 194.45/194.25 [4145]P22(x41451,f928(x41451,a916),f324(f324(f9(x41451,f928(x41451,a916),f928(x41451,a916)),f306(x41451)),f189(f928(x41451,a916))),f242(f928(x41451,a916))) % 194.45/194.25 [4632]~E(f324(f324(f79(a1),x46321),x46321),a99) % 194.45/194.25 [4658]~E(f324(a5,f324(a114,f324(a22,x46581))),f2(a101)) % 194.45/194.25 [4664]~P1(f324(a194,f324(f102(a1),x46641))) % 194.45/194.25 [4667]~P1(f324(f324(f235(a920),x46671),x46671)) % 194.45/194.25 [4677]~P1(f324(f324(f234(a920),f324(a114,x46771)),x46771)) % 194.45/194.25 [3485]E(f324(a106,f324(f78(a1),f324(f102(a1),x34851))),f2(a920)) % 194.45/194.25 [3488]E(f324(f324(f79(a1),f324(f78(a1),x34881)),x34881),f2(a1)) % 194.45/194.25 [3492]E(f324(f35(a1),f324(f299(a1,f2(a1)),x34921)),f324(a106,x34921)) % 194.45/194.25 [3504]E(f324(f324(f244(a920),f324(a114,f2(a920))),x35041),f324(a114,f2(a920))) % 194.45/194.25 [3602]E(f324(f279(x36021),f189(f928(f927(x36021,x36021),a916))),f189(f928(x36021,a916))) % 194.45/194.25 [3610]E(f37(f928(x36101,a916),f189(f928(f928(x36101,a916),a916))),f189(f928(x36101,a916))) % 194.45/194.25 [3611]E(f37(f928(x36111,a916),f242(f928(f928(x36111,a916),a916))),f242(f928(x36111,a916))) % 194.45/194.25 [3612]E(f38(f928(x36121,a916),f189(f928(f928(x36121,a916),a916))),f242(f928(x36121,a916))) % 194.45/194.25 [3613]E(f38(f928(x36131,a916),f242(f928(f928(x36131,a916),a916))),f189(f928(x36131,a916))) % 194.45/194.25 [3656]E(f324(f324(f306(f921(x36561)),f115(x36561)),f189(f928(f921(x36561),a916))),f161(x36561,f189(f928(x36561,a916)))) % 194.45/194.25 [3657]E(f324(f324(f306(f921(x36571)),f115(x36571)),f189(f928(f921(x36571),a916))),f162(x36571,f115(f928(x36571,a916)))) % 194.45/194.25 [3697]E(f324(f324(f79(a920),f6(x36971)),f324(a114,f2(a920))),f6(f324(a5,f324(a114,f324(a22,x36971))))) % 194.45/194.25 [3723]E(f324(f35(a1),f324(f307(a920,a1,f102(a1)),x37231)),f324(f35(a920),x37231)) % 194.45/194.25 [3724]P1(f324(f324(f234(a920),x37241),f324(f324(f80(a920),x37241),x37241))) % 194.45/194.25 [3763]E(f324(f307(a1,a920,a106),f300(a1,f2(a1),f324(f102(a1),x37631))),f324(f298(a920),x37631)) % 194.45/194.25 [3780]E(f324(f324(f36(a920),f324(a114,f2(a920))),f324(f105(a920),x37801)),f324(a106,f324(f324(f36(a1),f77(a1)),f324(f105(a1),x37801)))) % 194.45/194.25 [3782]E(f324(f172(a920),f139(a920,f324(f299(a920,f2(a920)),f324(a114,x37821)))),f324(f298(a920),x37821)) % 194.45/194.25 [3783]E(f324(f324(f79(a920),f324(f190(a101),x37831)),f324(a114,f2(a920))),f324(f190(a101),f324(a5,f324(a114,f324(a22,x37831))))) % 194.45/194.25 [3802]P37(x38021,f304(x38021,f189(f928(f927(x38021,x38021),a916)))) % 194.45/194.25 [3803]P52(x38031,f304(x38031,f189(f928(f927(x38031,x38031),a916)))) % 194.45/194.25 [3804]E(f324(f307(a1,a920,a106),f324(f307(a920,a1,f102(a1)),x38041)),x38041) % 194.45/194.25 [3835]E(f324(f324(f306(a920),f2(a920)),f324(f307(a920,a920,a114),f324(f280(a920),x38351))),f324(f280(a920),f324(a114,x38351))) % 194.45/194.25 [3841]P55(x38411,x38411,f304(x38411,f189(f928(f927(x38411,x38411),a916)))) % 194.45/194.25 [3847]P1(f324(a194,f324(f78(a1),f324(f102(a1),f324(a114,x38471))))) % 194.45/194.25 [3857]E(f324(f324(f3(f928(a920,a916)),f324(f281(a920),x38571)),f324(f324(f306(a920),x38571),f189(f928(a920,a916)))),f324(f281(a920),f324(a114,x38571))) % 194.45/194.25 [3874]E(f324(f324(f79(a1),f324(f324(f3(a1),a82),x38741)),f324(f324(f3(a1),a82),x38741)),f324(f324(f3(a1),a82),f324(f324(f79(a1),x38741),x38741))) % 194.45/194.25 [3889]E(f324(f324(f306(f928(x38891,a916)),f189(f928(x38891,a916))),f189(f928(f928(x38891,a916),a916))),f324(f305(x38891),f189(f928(x38891,a916)))) % 194.45/194.25 [3917]E(f324(f324(f3(f928(a920,a916)),f324(f301(a920),x39171)),f324(f324(f306(a920),f324(a114,x39171)),f189(f928(a920,a916)))),f324(f301(a920),f324(a114,x39171))) % 194.45/194.25 [4026]E(f324(f105(a920),f324(f324(f79(a1),x40261),x40261)),f324(f324(f85(a920,a920),f324(f105(a920),x40261)),f324(f324(f20(a920,a920,a920),f79(a920)),f7(a920)))) % 194.45/194.25 [4399]P12(x43991,f928(x43991,a916),f324(f324(f10(f928(x43991,a916),f928(f928(x43991,a916),f928(x43991,a916)),x43991),f324(f9(f928(x43991,a916),f928(x43991,a916),f928(x43991,a916)),f3(f928(x43991,a916)))),f324(f324(f9(x43991,f928(x43991,a916),f928(x43991,a916)),f306(x43991)),f189(f928(x43991,a916))))) % 194.45/194.25 [4486]E(f324(f262(f927(a1,a1)),f324(f257(a1,a1,a916),f324(f324(f10(f928(a1,a916),f928(a1,a916),a1),f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),x44861)))),f235(a1)))),f109(x44861)) % 194.45/194.25 [4519]E(f324(f262(f927(a1,a1)),f324(f257(a1,a1,a916),f324(f324(f20(a1,f928(a1,a916),f928(a1,a916)),f324(f324(f10(f928(a916,a916),f928(f928(a1,a916),f928(a1,a916)),a1),f10(a916,a916,a1)),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),x45191)))),f235(a1)))),f107(x45191)) % 194.45/194.25 [4572]E(f324(f262(f927(f928(x45721,a916),f928(x45721,a916))),f324(f257(f928(x45721,a916),f928(x45721,a916),a916),f324(f324(f9(f928(x45721,a916),f928(f928(x45721,a916),a916),f928(f928(x45721,a916),a916)),f324(f324(f10(f928(f928(x45721,a916),f928(a916,a916)),f928(f928(f928(x45721,a916),a916),f928(f928(x45721,a916),a916)),f928(x45721,a916)),f20(f928(x45721,a916),a916,a916)),f324(f324(f10(f928(f928(x45721,a916),a916),f928(f928(x45721,a916),f928(a916,a916)),f928(x45721,a916)),f324(f10(a916,f928(a916,a916),f928(x45721,a916)),a322)),f235(f928(x45721,a916))))),f61(x45721)))),f311(x45721)) % 194.45/194.25 [4681]~P1(f324(f61(f921(x46811)),f242(f928(f921(x46811),a916)))) % 194.45/194.25 [4693]~P1(f324(f324(f234(a1),f2(a1)),f324(f78(a1),f324(f102(a1),f324(a114,x46931))))) % 194.45/194.25 [3635]E(f324(f324(f3(a1),f324(f324(f79(a1),x36351),a99)),a99),x36351) % 194.45/194.25 [3649]E(f324(f172(a920),f139(a920,f324(f299(a920,f2(a920)),x36491))),f324(f280(a920),x36491)) % 194.45/194.25 [3896]E(f324(f324(f79(a1),f324(f324(f79(a1),f77(a1)),x38961)),x38961),f324(f324(f3(a1),f324(f324(f79(a1),x38961),x38961)),a99)) % 194.45/194.25 [3944]E(f324(f284(x39441,x39441),f304(x39441,f189(f928(f927(x39441,x39441),a916)))),f304(x39441,f189(f928(f927(x39441,x39441),a916)))) % 194.45/194.25 [3992]P1(f324(f324(f234(a920),x39921),f324(f324(f80(a920),x39921),f324(f324(f80(a920),x39921),x39921)))) % 194.45/194.25 [4262]P1(f324(f61(a920),f324(f262(a920),f324(f324(f9(a920,a920,a916),f234(a920)),x42621)))) % 194.45/194.25 [4263]P1(f324(f61(a920),f324(f262(a920),f324(f324(f9(a920,a920,a916),f235(a920)),x42631)))) % 194.45/194.25 [4535]E(f324(f262(f927(x45351,x45351)),f324(f324(f10(f928(x45351,a916),a916,f927(x45351,x45351)),f86(x45351)),f324(f324(f9(f927(x45351,x45351),f928(x45351,f927(x45351,x45351)),f928(x45351,a916)),f324(f324(f10(f928(f927(x45351,x45351),a916),f928(f928(x45351,f927(x45351,x45351)),f928(x45351,a916)),f927(x45351,x45351)),f10(f927(x45351,x45351),a916,x45351)),a321)),f324(f324(f20(x45351,x45351,f927(x45351,x45351)),f252(x45351,x45351)),f7(x45351))))),f304(x45351,f189(f928(f927(x45351,x45351),a916)))) % 194.45/194.25 [4683]~E(f324(f324(f3(a1),f324(f324(f79(a1),x46831),x46831)),a99),a82) % 194.45/194.25 [4685]~E(f324(f324(f79(a1),f324(f324(f79(a1),f77(a1)),x46851)),x46851),f2(a1)) % 194.45/194.25 [4037]E(f324(f324(f79(a1),f324(f324(f3(a1),a99),x40371)),f324(f324(f3(a1),a99),x40371)),f324(f324(f3(a1),a99),f324(f324(f3(a1),f324(f324(f79(a1),x40371),x40371)),a99))) % 194.45/194.25 [4153]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),a99),x41531)),f324(f324(f3(a1),a99),x41531))),a99),f324(f324(f3(a1),a99),f324(f324(f79(a1),x41531),x41531))) % 194.45/194.25 [4185]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f79(a1),x41851),a99)),f324(f324(f79(a1),x41851),a99))),a99),f324(f324(f79(a1),f324(f324(f79(a1),x41851),x41851)),a99)) % 194.45/194.25 [4223]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),a99),x42231)),f324(f324(f3(a1),a99),x42231))),a99),f324(f324(f3(a1),a82),f324(f324(f3(a1),f324(f324(f79(a1),x42231),x42231)),a99))) % 194.45/194.25 [4320]E(f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x43201),f2(a920))),f189(f928(f927(a920,a920),a916))))),f324(f102(a1),x43201)) % 194.45/194.25 [4330]E(f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),f329(x43301)),f530(x43301))),f189(f928(f927(a920,a920),a916))))),x43301) % 194.45/194.25 [4363]E(f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x43631)),f324(f307(a920,a1,f102(a1)),f324(f262(a920),f324(f324(f10(a1,a916,a920),x43631),f102(a1))))) % 194.45/194.25 [4407]P39(f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x44071))) % 194.45/194.25 [4427]P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x44271),f189(f928(f927(a920,a920),a916)))),a71)) % 194.45/194.25 [4432]E(f324(f307(a1,a920,a106),f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),f324(f324(f10(a920,a916,a1),x44321),a106)))),f324(f262(a920),x44321)) % 194.45/194.25 [4587]E(f309(a920,f324(f324(f40(f927(a920,a920),f928(a920,a916)),f324(a108,x45871)),f324(f257(a920,a920,f928(a920,a916)),f324(f324(f9(a920,f928(a920,a916),f928(a920,f928(a920,a916))),f324(f324(f10(f928(a920,f928(f928(a920,a916),f928(a920,a916))),f928(f928(a920,a916),f928(a920,f928(a920,a916))),a920),f9(a920,f928(a920,a916),f928(a920,a916))),f324(f324(f10(f928(a920,a920),f928(a920,f928(f928(a920,a916),f928(a920,a916))),a920),f324(f10(a920,f928(f928(a920,a916),f928(a920,a916)),a920),f306(a920))),f3(a920)))),f189(f928(a920,a916)))))),f324(a106,x45871)) % 194.45/194.25 [4081]E(f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),x40811),x40811)),a99)),a99),f324(f324(f79(a1),x40811),x40811)) % 194.45/194.25 [4131]E(f324(f324(f3(a1),f324(f324(f3(a1),f324(f324(f79(a1),x41311),x41311)),a99)),a99),f324(f324(f79(a1),f324(f324(f3(a1),x41311),a99)),f324(f324(f3(a1),x41311),a99))) % 194.45/194.25 [4336]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f79(a1),f324(f78(a1),x43361)),a99)),f324(f324(f79(a1),f324(f78(a1),x43361)),a99))),a99),f324(f78(a1),f324(f324(f3(a1),f324(f324(f79(a1),x43361),x43361)),a99))) % 194.45/194.25 [4380]E(f324(f324(f79(a920),x43801),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(a114,f324(a114,x43801))) % 194.45/194.25 [4381]E(f324(f324(f80(a920),x43811),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f79(a920),x43811),x43811)) % 194.45/194.25 [4382]E(f324(f324(f36(a920),f324(f324(f79(a920),x43821),x43821)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x43821) % 194.45/194.25 [4460]E(f45(a920,f324(a114,f324(a114,x44601)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f45(a920,x44601,f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.25 [4602]E(f324(a88,f324(f324(f40(f927(a920,a920),f928(f927(a920,a920),a916)),f324(a108,x46021)),f324(f257(a920,a920,f928(f927(a920,a920),a916)),f324(f324(f10(f928(a920,f928(f927(a920,a920),a916)),f928(a920,f928(f927(a920,a920),a916)),a920),f324(f10(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916),a920),f283(f927(a920,a920),f927(a920,a920),a110))),f324(f324(f9(a920,f928(f927(a920,a920),a916),f928(a920,f928(f927(a920,a920),a916))),f324(f324(f10(f928(a920,f928(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f928(f928(f927(a920,a920),a916),f928(a920,f928(f927(a920,a920),a916))),a920),f9(a920,f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f10(f928(a920,f927(a920,a920)),f928(a920,f928(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),a920),f324(f10(f927(a920,a920),f928(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a920),f306(f927(a920,a920)))),f324(f9(a920,a920,f927(a920,a920)),f252(a920,a920))))),f189(f928(f927(a920,a920),a916))))))),f324(f78(a1),x46021)) % 194.45/194.25 [4455]E(f324(f324(f79(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x44551),f324(a114,f324(a114,x44551))) % 194.45/194.25 [4456]E(f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x44561),f324(f324(f79(a920),x44561),x44561)) % 194.45/194.25 [4492]E(f324(f324(f36(a920),f324(a114,f324(a114,x44921))),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(a114,f324(f324(f36(a920),x44921),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.25 [4542]E(f324(f324(f79(a920),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),x45421),f324(a114,f324(a114,f324(a114,x45421)))) % 194.45/194.25 [4609]E(f324(f257(a1,a1,f927(a1,a1)),f324(f324(f20(a1,f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),f324(f324(f10(f928(a1,f928(f927(a1,a1),f927(a1,a1))),f928(f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),a1),f20(a1,f927(a1,a1),f927(a1,a1))),f324(f324(f10(f928(a1,f927(a1,a1)),f928(a1,f928(f927(a1,a1),f927(a1,a1))),a1),f324(f20(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f324(f324(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f324(f324(f10(a1,a916,a1),f324(f234(a1),f2(a1))),f324(f324(f9(a1,a1,a1),f3(a1)),x46091))))),f324(f324(f9(a1,f928(a1,a1),f928(a1,f927(a1,a1))),f324(f324(f10(f928(a1,f927(a1,a1)),f928(f928(a1,a1),f928(a1,f927(a1,a1))),a1),f10(a1,f927(a1,a1),a1)),f324(f324(f10(a1,f928(a1,f927(a1,a1)),a1),f252(a1,a1)),f324(f324(f9(a1,a1,a1),f324(f324(f10(a1,f928(a1,a1),a1),f79(a1)),f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f77(a1))))),f324(f324(f9(a1,a1,a1),f3(a1)),x46091))))),f324(f324(f10(a1,f928(a1,f927(a1,a1)),a1),f252(a1,a1)),f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))))),f43(x46091)) % 194.45/194.25 [3676]P40(a25,x36761,x36762,x36761) % 194.45/194.25 [3311]P110(f926(x33111,x33112)) % 194.45/194.25 [3312]P110(f927(x33121,x33122)) % 194.45/194.25 [3313]P110(f925(x33131,x33132)) % 194.45/194.25 [3329]P10(a1,f178(x33291,x33292)) % 194.45/194.25 [3330]P35(x33301,f153(x33301,x33302)) % 194.45/194.25 [3331]P36(x33311,f263(x33311,x33312)) % 194.45/194.25 [3332]P36(x33321,f304(x33321,x33322)) % 194.45/194.25 [3333]P37(x33331,f263(x33331,x33332)) % 194.45/194.25 [3334]P52(x33341,f263(x33341,x33342)) % 194.45/194.25 [3400]P29(x34001,x34002,f115(x34001)) % 194.45/194.25 [3433]P53(x34331,x34332,f263(x34331,x34332)) % 194.45/194.25 [3434]P55(x34341,x34341,f263(x34341,x34342)) % 194.45/194.25 [3700]P22(x37001,x37001,f7(x37001),x37002) % 194.45/194.25 [3701]P22(x37011,x37011,f31(x37011),x37012) % 194.45/194.25 [3708]P30(x37081,x37082,f115(x37081),f115(x37081)) % 194.45/194.25 [3717]P22(f921(x37171),f921(x37171),f168(x37171),x37172) % 194.45/194.25 [4121]P23(x41211,x41211,f31(x41211),x41212,x41212) % 194.45/194.25 [4618]~E(f30(x46181,x46182),a25) % 194.45/194.25 [4619]~E(f29(x46191,x46192),a25) % 194.45/194.25 [4645]~P31(x46451,x46452,f115(x46451)) % 194.45/194.25 [4646]~P33(x46461,x46462,f115(x46461)) % 194.45/194.25 [3297]E(f324(f7(x32971),x32972),x32972) % 194.45/194.25 [3298]E(f324(f262(x32981),x32982),x32982) % 194.45/194.25 [3300]E(f324(f31(x33001),x33002),x33002) % 194.45/194.25 [3310]E(f324(f192(x33101),x33102),f117(x33101)) % 194.45/194.25 [3327]E(f84(x33271,f324(a321,x33272)),x33272) % 194.45/194.25 [3328]E(f89(x33281,f324(a321,x33282)),x33282) % 194.45/194.25 [3350]E(f324(f126(x33501,x33502),f121(x33501)),f2(a920)) % 194.45/194.25 [3356]E(f324(f136(x33561,x33562),f115(x33561)),f115(x33561)) % 194.45/194.25 [3376]E(f304(x33761,f304(x33761,x33762)),f304(x33761,x33762)) % 194.45/194.25 [3377]E(f152(x33771,f152(x33771,x33772)),f152(x33771,x33772)) % 194.45/194.25 [3395]E(f324(f324(f134(x33951),x33952),f115(x33951)),x33952) % 194.45/194.25 [3401]E(f173(x34011,x34012,f115(x34011)),x34012) % 194.45/194.25 [3402]E(f173(x34021,f115(x34021),x34022),x34022) % 194.45/194.25 [3403]E(f118(x34031,f121(x34031),x34032),x34032) % 194.45/194.25 [3404]E(f169(x34041,f2(a920),x34042),f115(x34041)) % 194.45/194.25 [3410]E(f324(f324(f175(x34101),x34102),f115(x34101)),f115(x34101)) % 194.45/194.25 [3411]E(f324(f324(f138(x34111),x34112),f115(x34111)),f115(x34111)) % 194.45/194.25 [3413]E(f155(x34131,x34132,f115(x34131)),f2(a920)) % 194.45/194.25 [3415]E(f170(x34151,x34152,f115(x34151)),f115(x34151)) % 194.45/194.25 [3416]E(f177(x34161,x34162,f115(x34161)),f115(x34161)) % 194.45/194.25 [3417]E(f176(x34171,f115(x34171),x34172),f115(x34171)) % 194.45/194.25 [3421]E(f324(f172(x34211),f152(x34211,x34212)),f324(f172(x34211),x34212)) % 194.45/194.25 [3424]E(f324(f282(x34241,x34241),f263(x34241,x34242)),x34242) % 194.45/194.25 [3425]E(f324(f264(x34251,x34251),f263(x34251,x34252)),x34252) % 194.45/194.25 [3432]E(f324(f284(x34321,x34321),f263(x34321,x34322)),f263(x34321,x34322)) % 194.45/194.25 [3445]E(f304(f921(x34451),f157(x34451,x34452)),f158(x34451,f304(x34451,x34452))) % 194.45/194.25 [3447]P1(f324(f137(a1),f178(x34471,x34472))) % 194.45/194.25 [3455]E(f324(f282(x34551,x34551),f304(x34551,x34552)),f242(f928(x34551,a916))) % 194.45/194.25 [3456]E(f324(f264(x34561,x34561),f304(x34561,x34562)),f242(f928(x34561,a916))) % 194.45/194.25 [3460]P1(f324(f137(x34601),f152(x34601,x34602))) % 194.45/194.25 [3462]P1(f324(f160(x34621,x34622),f115(x34621))) % 194.45/194.25 [3467]E(f324(f172(a1),f178(x34671,x34672)),f300(a1,x34671,x34672)) % 194.45/194.25 [3481]P56(x34811,f189(f928(x34811,a916)),x34812) % 194.45/194.25 [3486]E(f324(f256(a1,a1),f46(x34861,x34862)),f45(a1,x34861,x34862)) % 194.45/194.25 [3487]E(f324(f299(a920,x34871),f324(a114,x34872)),f300(a920,x34871,x34872)) % 194.45/194.25 [3503]E(f324(f324(f151(x35031),x35032),f115(x35031)),f140(x35031,x35032,f115(x35031))) % 194.45/194.25 [3516]E(f300(a920,f324(a114,x35161),x35162),f302(a920,x35161,x35162)) % 194.45/194.25 [3519]P53(x35191,f242(f928(x35191,a916)),f304(x35191,x35192)) % 194.45/194.25 [3582]E(f324(f324(f3(a920),x35821),f324(a114,x35822)),f324(f35(a920),f303(a920,x35822,x35821))) % 194.45/194.25 [3636]E(f166(x36361,x36362,f115(x36361)),f324(f324(f252(f921(x36361),f921(x36361)),f115(x36361)),f115(x36361))) % 194.45/194.25 [3654]E(f324(f257(x36541,x36542,f927(x36541,x36542)),f252(x36541,x36542)),f31(f927(x36541,x36542))) % 194.45/194.25 [3658]P1(f324(f324(f326(f921(x36581)),f115(x36581)),f161(x36581,x36582))) % 194.45/194.25 [3659]E(f324(f190(f921(x36591)),f116(x36591,x36592)),f324(f324(f3(a920),f324(f190(f921(x36591)),x36592)),f77(a920))) % 194.45/194.25 [3667]P1(f324(f61(a920),f300(a920,x36671,x36672))) % 194.45/194.25 [3668]P1(f324(f61(a920),f303(a920,x36681,x36682))) % 194.45/194.25 [3669]P1(f324(f61(a920),f302(a920,x36691,x36692))) % 194.45/194.25 [3670]P1(f324(f61(a1),f300(a1,x36701,x36702))) % 194.45/194.25 [3671]P1(f324(f61(a1),f303(a1,x36711,x36712))) % 194.45/194.25 [3672]P1(f324(f61(a1),f302(a1,x36721,x36722))) % 194.45/194.25 [3779]E(f324(f307(a920,a920,a114),f300(a920,x37791,x37792)),f300(a920,f324(a114,x37791),f324(a114,x37792))) % 194.45/194.25 [3798]E(f324(f324(f286(x37981,x37981,x37981),f304(x37981,x37982)),f304(x37981,x37982)),f304(x37981,x37982)) % 194.45/194.25 [3833]E(f324(f324(f252(a1,a1),f324(f324(f36(a1),x38331),x38332)),f45(a1,x38331,x38332)),f46(x38331,x38332)) % 194.45/194.25 [3834]E(f324(f324(f252(a101,a101),f324(f324(f36(a101),x38341),x38342)),f45(a101,x38341,x38342)),f23(x38341,x38342)) % 194.45/194.25 [3861]E(f324(f324(f252(a920,a920),f324(f324(f36(a920),x38611),x38612)),f45(a920,x38611,x38612)),f84(f927(a920,a920),f48(x38611,x38612))) % 194.45/194.25 [3913]P1(f324(f324(f235(a920),f324(f324(f3(a920),x39131),x39132)),f324(a114,x39131))) % 194.45/194.25 [3963]P36(x39631,f324(f324(f286(x39631,x39631,x39631),x39632),f304(x39631,x39632))) % 194.45/194.25 [4013]E(f324(f324(f79(a1),f324(f324(f80(a1),x40131),f324(f324(f36(a1),x40132),x40131))),f45(a1,x40132,x40131)),x40132) % 194.45/194.25 [4017]E(f324(f324(f40(a920,f928(f927(f921(x40171),f921(x40171)),a916)),f242(f928(a920,a916))),f143(x40171,x40172)),f145(x40171,x40172)) % 194.45/194.25 [4239]P1(f324(f324(f326(f927(f921(x42391),f921(x42391))),f324(f324(f252(f921(x42391),f921(x42391)),f115(x42391)),f115(x42391))),f158(x42391,x42392))) % 194.45/194.25 [4348]E(f253(x43481,x43481,x43481,a321,f253(x43481,x43481,x43481,x43482,a321)),x43482) % 194.45/194.25 [4392]E(f258(x43921,x43921,x43922,x43922,f7(x43921),f7(x43922)),f31(f927(x43921,x43922))) % 194.45/194.25 [4394]E(f258(x43941,x43941,x43942,x43942,f31(x43941),f31(x43942)),f31(f927(x43941,x43942))) % 194.45/194.25 [3394]E(f324(f168(x33941),f324(f168(x33941),x33942)),x33942) % 194.45/194.25 [3396]E(f324(f324(f138(x33961),f2(a920)),x33962),x33962) % 194.45/194.25 [3412]E(f324(f324(f175(x34121),f2(a920)),x34122),f115(x34121)) % 194.45/194.25 [3419]E(f324(f324(f134(x34191),f115(x34191)),x34192),x34192) % 194.45/194.25 [3428]E(f37(f928(x34281,a916),f324(f305(x34281),x34282)),x34282) % 194.45/194.25 [3430]E(f324(f172(x34301),f324(f167(x34301),x34302)),f324(f172(x34301),x34302)) % 194.45/194.25 [3431]E(f324(f172(x34311),f324(f168(x34311),x34312)),f324(f172(x34311),x34312)) % 194.45/194.25 [3436]E(f324(f324(f3(a101),x34361),x34362),f324(f324(a4,x34361),x34362)) % 194.45/194.25 [3449]E(f324(f324(f80(a920),x34491),x34492),f324(f324(f80(a920),x34492),x34491)) % 194.45/194.25 [3450]E(f324(f324(f80(a1),x34501),x34502),f324(f324(f80(a1),x34502),x34501)) % 194.45/194.25 [3451]E(f324(f324(f79(a920),x34511),x34512),f324(f324(f79(a920),x34512),x34511)) % 194.45/194.25 [3452]E(f324(f324(f79(a1),x34521),x34522),f324(f324(f79(a1),x34522),x34521)) % 194.45/194.25 [3473]E(f324(f324(f183(x34731,x34731),f2(a920)),x34732),f31(x34731)) % 194.45/194.25 [3474]E(f324(f190(f921(x34741)),f324(f167(x34741),x34742)),f324(f190(f921(x34741)),x34742)) % 194.45/194.25 [3475]E(f324(f190(f921(x34751)),f324(f168(x34751),x34752)),f324(f190(f921(x34751)),x34752)) % 194.45/194.25 [3476]E(f176(x34761,x34762,f189(f928(a920,a916))),f115(x34761)) % 194.45/194.25 [3477]E(f324(f324(f154(x34771,x34771),f7(x34771)),x34772),x34772) % 194.45/194.25 [3479]E(f324(f251(a1,a1),f46(x34791,x34792)),f324(f324(f36(a1),x34791),x34792)) % 194.45/194.25 [3496]E(f324(f190(f921(x34961)),f152(x34961,x34962)),f324(f35(x34961),f324(f172(x34961),x34962))) % 194.45/194.25 [3497]E(f28(f29(x34971,x34972)),f324(f324(f79(a920),f28(x34972)),f324(a114,f2(a920)))) % 194.45/194.25 [3498]E(f324(f279(x34981),f324(f284(x34981,x34981),x34982)),f324(f279(x34981),x34982)) % 194.45/194.25 [3502]P1(f324(f61(x35021),f324(f172(x35021),x35022))) % 194.45/194.25 [3511]E(f324(f324(f79(a1),x35111),f324(f78(a1),x35112)),f324(f324(f3(a1),x35111),x35112)) % 194.45/194.25 [3518]P11(x35181,x35182,f189(f928(f919(x35181),a916))) % 194.45/194.25 [3520]E(f324(f307(x35201,x35201,f7(x35201)),x35202),x35202) % 194.45/194.25 [3521]E(f324(f307(x35211,x35211,f31(x35211)),x35212),x35212) % 194.45/194.25 [3522]E(f324(f308(x35221,x35221,f7(x35221)),x35222),x35222) % 194.45/194.25 [3523]E(f324(f308(x35231,x35231,f31(x35231)),x35232),x35232) % 194.45/194.25 [3524]P1(f324(f242(f928(x35241,a916)),x35242)) % 194.45/194.25 [3526]E(f324(f35(a920),f324(f299(a920,x35261),x35262)),f324(f324(f3(a920),x35262),x35261)) % 194.45/194.25 [3527]E(f324(f299(a920,f324(a114,x35271)),x35272),f303(a920,x35271,x35272)) % 194.45/194.25 [3540]E(f324(f324(f306(x35401),x35402),f189(f928(x35401,a916))),f324(f262(x35401),f324(a321,x35402))) % 194.45/194.25 [3545]E(f304(x35451,f324(f284(x35451,x35451),x35452)),f324(f284(x35451,x35451),f304(x35451,x35452))) % 194.45/194.25 [3550]E(f324(f324(f79(a920),f324(a114,x35501)),x35502),f324(f324(f79(a920),x35501),f324(a114,x35502))) % 194.45/194.25 [3551]E(f324(f324(f3(a920),f324(a114,x35511)),f324(a114,x35512)),f324(f324(f3(a920),x35511),x35512)) % 194.45/194.25 [3557]E(f55(x35571,f2(a920),x35572),f324(f324(f151(f921(x35571)),f115(x35571)),f115(f921(x35571)))) % 194.45/194.25 [3558]E(f324(f35(a920),f302(a920,x35581,x35582)),f324(f324(f3(a920),x35582),x35581)) % 194.45/194.25 [3567]P35(x35671,f324(f324(f285(a920,x35671),a240),x35672)) % 194.45/194.25 [3569]P10(a920,f139(a920,f324(f299(a920,x35691),x35692))) % 194.45/194.25 [3571]P1(f324(f61(a920),f324(f299(a920,x35711),x35712))) % 194.45/194.25 [3572]P1(f324(f61(a1),f324(f299(a1,x35721),x35722))) % 194.45/194.25 [3575]E(f324(f284(f921(x35751),f921(x35751)),f157(x35751,x35752)),f157(x35751,f324(f284(x35751,x35751),x35752))) % 194.45/194.25 [3576]E(f324(f190(a917),f29(x35761,x35762)),f324(f324(f79(a920),f324(f190(a917),x35762)),f324(a114,f2(a920)))) % 194.45/194.25 [3578]E(f324(f299(a1,x35781),f324(f324(f79(a1),x35782),f77(a1))),f300(a1,x35781,x35782)) % 194.45/194.25 [3581]E(f324(f324(f36(a1),f324(f78(a1),x35811)),f324(f78(a1),x35812)),f324(f324(f36(a1),x35811),x35812)) % 194.45/194.25 [3589]E(f324(f324(f183(f927(x35891,x35891),a916),f77(a920)),x35892),x35892) % 194.45/194.25 [3591]E(f324(f324(f3(f928(x35911,a916)),x35912),f189(f928(x35911,a916))),x35912) % 194.45/194.25 [3592]E(f324(f324(f103(f928(x35921,a916)),x35922),f242(f928(x35921,a916))),x35922) % 194.45/194.25 [3593]E(f324(f324(f112(f928(x35931,a916)),x35932),f189(f928(x35931,a916))),x35932) % 194.45/194.25 [3594]E(f324(f251(a920,a920),f84(f927(a920,a920),f48(x35941,x35942))),f324(f324(f36(a920),x35941),x35942)) % 194.45/194.25 [3601]E(f300(a1,f324(f324(f79(a1),x36011),f77(a1)),x36012),f302(a1,x36011,x36012)) % 194.45/194.25 [3606]E(f324(f256(a920,a920),f84(f927(a920,a920),f48(x36061,x36062))),f45(a920,x36061,x36062)) % 194.45/194.25 [3616]P1(f324(f324(f326(x36161),x36162),f242(f928(x36161,a916)))) % 194.45/194.25 [3620]E(f324(f324(f3(a920),f324(a114,x36201)),x36202),f324(f35(a920),f300(a920,x36202,x36201))) % 194.45/194.25 [3645]E(f324(f324(f3(f928(x36451,a916)),x36452),f242(f928(x36451,a916))),f189(f928(x36451,a916))) % 194.45/194.25 [3646]E(f324(f324(f103(f928(x36461,a916)),x36462),f189(f928(x36461,a916))),f189(f928(x36461,a916))) % 194.45/194.25 [3647]E(f324(f324(f112(f928(x36471,a916)),x36472),f242(f928(x36471,a916))),f242(f928(x36471,a916))) % 194.45/194.25 [3662]E(f45(a1,f324(f78(a1),x36621),f324(f78(a1),x36622)),f324(f78(a1),f45(a1,x36621,x36622))) % 194.45/194.25 [3663]E(f45(a1,f324(f102(a1),x36631),f324(f102(a1),x36632)),f324(f102(a1),f45(a920,x36631,x36632))) % 194.45/194.25 [3674]E(f324(f190(f921(x36741)),f324(f171(x36741),x36742)),f324(f324(f3(a920),f324(f190(f921(x36741)),x36742)),f77(a920))) % 194.45/194.25 [3702]E(f324(f324(f36(a1),f45(a1,x37021,x37022)),x37022),f2(a1)) % 194.45/194.25 [3710]E(f324(a5,f45(a920,f324(a22,x37101),f324(a22,x37102))),f45(a101,x37101,x37102)) % 194.45/194.25 [3745]E(f324(a5,f324(f324(f3(a920),f324(a22,x37451)),f324(a22,x37452))),f324(f324(f3(a101),x37451),x37452)) % 194.45/194.25 [3746]E(f324(a5,f324(f324(f80(a920),f324(a22,x37461)),f324(a22,x37462))),f324(f324(f80(a101),x37461),x37462)) % 194.45/194.25 [3747]E(f324(a5,f324(f324(f79(a920),f324(a22,x37471)),f324(a22,x37472))),f324(f324(f79(a101),x37471),x37472)) % 194.45/194.25 [3748]E(f324(a5,f324(f324(f36(a920),f324(a22,x37481)),f324(a22,x37482))),f324(f324(f36(a101),x37481),x37482)) % 194.45/194.25 [3757]E(f324(f307(a920,a920,a114),f324(f299(a920,x37571),x37572)),f324(f299(a920,f324(a114,x37571)),f324(a114,x37572))) % 194.45/194.25 [3784]P1(f324(f48(x37841,x37842),f84(f927(a920,a920),f48(x37841,x37842)))) % 194.45/194.25 [3807]E(f324(f324(f79(a920),f324(f324(f79(a920),f28(x38071)),f28(x38072))),f324(a114,f2(a920))),f28(f30(x38071,x38072))) % 194.45/194.25 [3808]E(f45(a920,f324(a114,f45(a920,x38081,x38082)),x38082),f45(a920,f324(a114,x38081),x38082)) % 194.45/194.25 [3820]E(f324(f324(f40(f928(x38201,a916),f928(x38201,a916)),x38202),f7(f928(x38201,a916))),f37(f928(x38201,a916),x38202)) % 194.45/194.25 [3821]E(f324(f324(f39(f928(x38211,a916),f928(x38211,a916)),x38212),f7(f928(x38211,a916))),f38(f928(x38211,a916),x38212)) % 194.45/194.25 [3822]E(f324(f307(f921(x38221),f928(x38221,a916),f172(x38221)),f324(f172(f921(x38221)),f54(x38221,x38222))),f324(f305(x38221),f324(f172(x38221),x38222))) % 194.45/194.25 [3826]P1(f324(f324(f326(f928(x38261,a916)),x38262),f324(f305(x38261),x38262))) % 194.45/194.25 [3832]E(f45(a1,f324(f78(a1),f45(a1,x38321,x38322)),x38322),f45(a1,f324(f78(a1),x38321),x38322)) % 194.45/194.25 [3843]P1(f324(f324(f234(f928(x38431,a916)),x38432),f242(f928(x38431,a916)))) % 194.45/194.25 [3845]E(f324(f324(f286(x38451,x38451,x38451),f304(x38451,x38452)),f304(x38451,f304(x38451,x38452))),f304(x38451,x38452)) % 194.45/194.25 [3846]E(f324(f324(f112(f928(x38461,a916)),f324(f264(x38461,x38461),x38462)),f324(f282(x38461,x38461),x38462)),f324(f279(x38461),x38462)) % 194.45/194.25 [3867]E(f310(x38671,x38672,f242(f928(x38671,a916)),f242(f928(x38672,a916))),f242(f928(f926(x38671,x38672),a916))) % 194.45/194.25 [3918]P1(f324(f324(f234(a920),f45(a920,x39181,x39182)),x39181)) % 194.45/194.25 [3942]P1(f324(f324(f234(a1),f324(f78(a1),f324(f102(a1),x39421))),f324(f102(a1),x39422))) % 194.45/194.25 [3968]P1(f324(f324(f326(f928(x39681,a916)),f189(f928(x39681,a916))),f324(f305(x39681),x39682))) % 194.45/194.25 [3973]E(f304(x39731,f324(f324(f286(x39731,x39731,x39731),x39732),f304(x39731,x39732))),f304(x39731,x39732)) % 194.45/194.25 [3976]E(f324(f324(f286(x39761,x39761,x39761),f304(x39761,x39762)),x39762),f324(f324(f286(x39761,x39761,x39761),x39762),f304(x39761,x39762))) % 194.45/194.25 [3978]E(f324(a106,f324(f324(f79(a1),f324(f324(f3(a1),x39781),x39782)),f77(a1))),f324(f35(a1),f300(a1,x39782,x39781))) % 194.45/194.25 [3993]E(f324(f282(x39931,x39931),f324(f324(f286(x39931,x39931,x39931),x39932),f304(x39931,x39932))),f324(f282(x39931,x39931),x39932)) % 194.45/194.25 [3994]E(f324(f264(x39941,x39941),f324(f324(f286(x39941,x39941,x39941),x39942),f304(x39941,x39942))),f324(f264(x39941,x39941),x39942)) % 194.45/194.25 [4009]E(f324(f324(f79(a920),f324(f324(f79(a920),f324(f190(a917),x40091)),f324(f190(a917),x40092))),f324(a114,f2(a920))),f324(f190(a917),f30(x40091,x40092))) % 194.45/194.25 [4012]E(f324(f142(f921(x40121),f921(x40121),f134(x40121),f115(x40121)),f169(f921(x40121),x40122,f115(x40121))),f115(x40121)) % 194.45/194.25 [4021]P22(a920,a920,f324(f324(f9(a920,a920,a920),f79(a920)),x40211),x40212) % 194.45/194.25 [4023]P10(a920,f324(f168(a920),f324(f324(f154(f921(x40231),a920),f190(f921(x40231))),f179(x40231,x40232)))) % 194.45/194.25 [4054]P52(x40541,f324(f324(f103(f928(f927(x40541,x40541),a916)),x40542),f324(f284(x40541,x40541),x40542))) % 194.45/194.25 [4055]P52(x40551,f324(f324(f112(f928(f927(x40551,x40551),a916)),x40552),f324(f284(x40551,x40551),x40552))) % 194.45/194.25 [4066]P1(f324(f324(f235(a1),f324(f78(a1),f324(f102(a1),f324(a114,x40661)))),f324(f102(a1),x40662))) % 194.45/194.25 [4110]E(f324(f142(f921(x41101),x41101,f324(f9(x41101,f921(x41101),f921(x41101)),f151(x41101)),f115(x41101)),x41102),f324(f168(x41101),x41102)) % 194.45/194.25 [4160]P1(f324(f324(f234(f928(f927(f921(x41601),f921(x41601)),a916)),f158(x41601,x41602)),f304(f921(x41601),f157(x41601,x41602)))) % 194.45/194.25 [4189]P1(f324(f48(x41891,x41892),f324(f324(f252(a920,a920),f324(f324(f36(a920),x41891),x41892)),f45(a920,x41891,x41892)))) % 194.45/194.25 [4201]P1(f324(f324(f234(f928(f927(f921(x42011),f921(x42011)),a916)),f157(x42011,f304(x42011,x42012))),f304(f921(x42011),f157(x42011,x42012)))) % 194.45/194.25 [4417]E(f324(f324(f259(f927(a101,a101),a101,f927(a101,a101),f927(x44171,f927(a101,a101))),f267(f324(f165(a101),f324(f324(f154(f927(a101,x44171),a101),f251(a101,x44171)),x44172)))),f324(f324(f10(x44171,f928(f927(a101,a101),f927(x44171,f927(a101,a101))),a101),f252(x44171,f927(a101,a101))),f268(x44171,x44172))),f266(x44171,x44172)) % 194.45/194.25 [4494]E(f224(a920,f927(x44941,f922(x44941)),f2(a920),f324(f257(x44941,f922(x44941),a920),f324(f18(f928(f922(x44941),a920),x44941),f324(f324(f9(f922(x44941),a920,a920),f324(f324(f10(a920,f928(a920,a920),f922(x44941)),f79(a920)),f190(f922(x44941)))),f77(a920)))),f324(f135(x44941),x44942)),f324(f190(f922(x44941)),x44942)) % 194.45/194.25 [4601]E(f324(f257(f928(f927(x46011,x46011),a916),f928(f927(x46011,x46011),a916),f928(f928(x46012,x46011),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916)))),f324(f324(f9(f928(f927(x46011,x46011),a916),f928(f928(f927(x46011,x46011),a916),f928(f928(x46012,x46011),f928(f927(x46012,x46012),a916))),f928(f928(f927(x46011,x46011),a916),f928(f928(x46012,x46011),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916))))),f324(f324(f10(f928(f928(f928(x46012,x46011),f928(f927(x46012,x46012),a916)),f928(f928(x46012,x46011),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916)))),f928(f928(f928(f927(x46011,x46011),a916),f928(f928(x46012,x46011),f928(f927(x46012,x46012),a916))),f928(f928(f927(x46011,x46011),a916),f928(f928(x46012,x46011),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916))))),f928(f927(x46011,x46011),a916)),f10(f928(f928(x46012,x46011),f928(f927(x46012,x46012),a916)),f928(f928(x46012,x46011),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916))),f928(f927(x46011,x46011),a916))),f324(f324(f10(f928(f928(x46012,x46011),f928(f928(f927(x46012,x46012),a916),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916)))),f928(f928(f928(x46012,x46011),f928(f927(x46012,x46012),a916)),f928(f928(x46012,x46011),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916)))),f928(f927(x46011,x46011),a916)),f20(f928(x46012,x46011),f928(f927(x46012,x46012),a916),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916)))),f324(f324(f10(f928(f928(x46012,x46011),f928(f927(x46012,x46012),a916)),f928(f928(x46012,x46011),f928(f928(f927(x46012,x46012),a916),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916)))),f928(f927(x46011,x46011),a916)),f324(f10(f928(f927(x46012,x46012),a916),f928(f928(f927(x46012,x46012),a916),f927(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916))),f928(x46012,x46011)),f252(f928(f927(x46012,x46012),a916),f928(f927(x46012,x46012),a916)))),f285(x46011,x46012))))),f285(x46011,x46012))),f73(x46011,x46012)) % 194.45/194.25 [4665]~E(f324(f305(x46651),x46652),f189(f928(f928(x46651,a916),a916))) % 194.45/194.25 [4676]~P1(f324(f324(f172(x46761),f115(x46761)),x46762)) % 194.45/194.25 [4680]~P1(f324(f324(f326(x46801),x46802),f189(f928(x46801,a916)))) % 194.45/194.25 [4688]~P1(f324(f324(f235(f928(x46881,a916)),x46882),f189(f928(x46881,a916)))) % 194.45/194.25 [3529]E(f324(f324(f3(a920),x35291),f324(f324(f79(a920),x35291),x35292)),f2(a920)) % 194.45/194.25 [3532]E(f324(f324(f103(f928(x35321,a916)),x35322),x35322),x35322) % 194.45/194.25 [3533]E(f324(f324(f112(f928(x35331,a916)),x35332),x35332),x35332) % 194.45/194.25 [3561]E(f324(f324(f3(f928(x35611,a916)),x35612),x35612),f189(f928(x35611,a916))) % 194.45/194.25 [3564]E(f324(f143(x35641,x35642),f2(a920)),f189(f928(f927(f921(x35641),f921(x35641)),a916))) % 194.45/194.25 [3565]E(f324(f324(f79(a920),x35651),f324(a114,x35652)),f324(a114,f324(f324(f79(a920),x35651),x35652))) % 194.45/194.25 [3577]E(f195(f324(f102(a1),x35771),f324(f102(a1),x35772)),f324(f102(a1),f324(f324(f3(a920),x35771),x35772))) % 194.45/194.25 [3580]E(f324(f324(f36(a1),f324(f78(a1),x35801)),x35802),f324(f324(f36(a1),x35801),f324(f78(a1),x35802))) % 194.45/194.25 [3584]E(f324(f35(a1),f324(f299(a1,x35841),x35842)),f324(a106,f324(f324(f3(a1),x35842),x35841))) % 194.45/194.25 [3587]E(f324(f324(f79(a920),f324(a114,x35871)),x35872),f324(a114,f324(f324(f79(a920),x35871),x35872))) % 194.45/194.25 [3590]E(f324(f78(f928(x35901,a916)),f324(f78(f928(x35901,a916)),x35902)),x35902) % 194.45/194.25 [3603]E(f179(x36031,f324(f324(f151(f921(x36031)),f115(x36031)),x36032)),f179(x36031,x36032)) % 194.45/194.25 [3607]E(f324(f324(f79(a920),x36071),f324(f324(f80(a920),x36071),x36072)),f324(f324(f80(a920),x36071),f324(a114,x36072))) % 194.45/194.25 [3614]E(f324(f324(a4,f324(a5,x36141)),f324(a5,x36142)),f324(a5,f324(f324(f3(a920),x36141),x36142))) % 194.45/194.25 [3627]E(f324(f324(f80(a1),f324(f78(a1),x36271)),x36272),f324(f78(a1),f324(f324(f80(a1),x36271),x36272))) % 194.45/194.25 [3629]E(f324(f324(f244(a1),f324(f102(a1),x36291)),x36292),f324(f102(a1),f324(f324(f244(a920),x36291),x36292))) % 194.45/194.25 [3630]E(f324(f324(f188(a920),f324(a114,x36301)),f324(a114,x36302)),f324(a114,f324(f324(f188(a920),x36301),x36302))) % 194.45/194.25 [3631]E(f324(f324(f80(a101),f324(a5,x36311)),f324(a5,x36312)),f324(a5,f324(f324(f80(a920),x36311),x36312))) % 194.45/194.25 [3632]E(f324(f324(f79(a101),f324(a5,x36321)),f324(a5,x36322)),f324(a5,f324(f324(f79(a920),x36321),x36322))) % 194.45/194.25 [3633]E(f324(f324(f233(a920),f324(a114,x36331)),f324(a114,x36332)),f324(a114,f324(f324(f233(a920),x36331),x36332))) % 194.45/194.25 [3638]E(f324(f172(a920),f139(a920,f324(f299(a920,x36381),x36382))),f324(f299(a920,x36381),x36382)) % 194.45/194.25 [3639]E(f309(x36391,f324(f324(f306(x36391),x36392),f189(f928(x36391,a916)))),x36392) % 194.45/194.25 [3643]E(f324(f282(x36431,x36432),f189(f928(f927(x36431,x36432),a916))),f189(f928(x36432,a916))) % 194.45/194.25 [3644]E(f324(f264(x36441,x36442),f189(f928(f927(x36441,x36442),a916))),f189(f928(x36441,a916))) % 194.45/194.25 [3648]E(f324(a106,f324(f324(f3(a1),x36481),x36482)),f324(f35(a1),f302(a1,x36482,x36481))) % 194.45/194.25 [3653]E(f324(f324(f79(a920),x36531),f324(f324(f80(a920),x36532),x36531)),f324(f324(f80(a920),f324(a114,x36532)),x36531)) % 194.45/194.25 [3655]E(f324(f324(f60(x36551),f189(f928(x36551,a916))),x36552),f189(f928(f928(x36551,a916),a916))) % 194.45/194.25 [3664]E(f324(f190(f921(a920)),f139(a920,f324(f299(a920,x36641),x36642))),f324(f324(f3(a920),x36642),x36641)) % 194.45/194.25 [3681]E(f324(f324(f103(f928(x36811,a916)),f242(f928(x36811,a916))),x36812),x36812) % 194.45/194.25 [3682]E(f324(f324(f112(f928(x36821,a916)),f189(f928(x36821,a916))),x36822),x36822) % 194.45/194.25 [3683]E(f324(f324(f79(a1),f324(f78(a1),x36831)),f324(f78(a1),x36832)),f324(f78(a1),f324(f324(f79(a1),x36831),x36832))) % 194.45/194.25 [3687]E(f324(f324(f80(a1),f324(f105(a1),x36871)),f324(f105(a1),x36872)),f324(f105(a1),f324(f324(f80(a1),x36871),x36872))) % 194.45/194.25 [3689]E(f324(f324(f80(a1),f324(f102(a1),x36891)),f324(f102(a1),x36892)),f324(f102(a1),f324(f324(f80(a920),x36891),x36892))) % 194.45/194.25 [3690]E(f324(f324(f79(a1),f324(f105(a1),x36901)),f324(f105(a1),x36902)),f324(f105(a1),f324(f324(f79(a1),x36901),x36902))) % 194.45/194.25 [3692]E(f324(f324(f79(a1),f324(f102(a1),x36921)),f324(f102(a1),x36922)),f324(f102(a1),f324(f324(f79(a920),x36921),x36922))) % 194.45/194.25 [3693]E(f324(f324(f36(a1),f324(f102(a1),x36931)),f324(f102(a1),x36932)),f324(f102(a1),f324(f324(f36(a920),x36931),x36932))) % 194.45/194.25 [3711]E(f324(f324(f8(x37111,a920),f324(f18(a920,x37111),f77(a920))),x37112),f324(f35(x37111),x37112)) % 194.45/194.25 [3718]E(f324(f78(a1),f45(a1,f324(f78(a1),x37181),x37182)),f45(a1,x37181,f324(f78(a1),x37182))) % 194.45/194.25 [3720]E(f324(f172(a1),f178(x37201,f324(f324(f3(a1),x37202),f77(a1)))),f324(f299(a1,x37201),x37202)) % 194.45/194.25 [3725]P1(f324(f324(f234(a920),x37251),f324(f324(f79(a920),x37252),x37251))) % 194.45/194.25 [3726]P1(f324(f324(f234(a920),x37261),f324(f324(f79(a920),x37261),x37262))) % 194.45/194.25 [3728]E(f324(f324(f3(f928(x37281,a916)),f189(f928(x37281,a916))),x37282),f189(f928(x37281,a916))) % 194.45/194.25 [3729]E(f324(f324(f103(f928(x37291,a916)),f189(f928(x37291,a916))),x37292),f189(f928(x37291,a916))) % 194.45/194.25 [3730]E(f324(f324(f112(f928(x37301,a916)),f242(f928(x37301,a916))),x37302),f242(f928(x37301,a916))) % 194.45/194.25 [3737]E(f324(f324(f252(a1,a1),x37371),f324(f78(a1),x37372)),f324(a51,f324(f324(f252(a1,a1),x37371),x37372))) % 194.45/194.25 [3738]E(f324(f299(a1,f324(f324(f79(a1),x37381),f77(a1))),x37382),f303(a1,x37381,x37382)) % 194.45/194.25 [3749]E(f324(f324(f80(a920),x37491),f324(f324(f36(a920),x37492),x37491)),f324(f324(f3(a920),x37492),f45(a920,x37492,x37491))) % 194.45/194.25 [3750]E(f324(f324(f80(a1),x37501),f324(f324(f36(a1),x37502),x37501)),f324(f324(f3(a1),x37502),f45(a1,x37502,x37501))) % 194.45/194.25 [3754]E(f324(f172(a1),f178(f324(f324(f79(a1),x37541),f77(a1)),x37542)),f302(a1,x37541,x37542)) % 194.45/194.25 [3758]P1(f324(f324(f234(f928(x37581,a916)),x37582),x37582)) % 194.45/194.25 [3761]E(f324(f324(f103(f928(x37611,a916)),x37612),f324(f78(f928(x37611,a916)),x37612)),f189(f928(x37611,a916))) % 194.45/194.25 [3762]E(f324(f324(f112(f928(x37621,a916)),x37622),f324(f78(f928(x37621,a916)),x37622)),f242(f928(x37621,a916))) % 194.45/194.25 [3770]E(f324(f324(f3(a920),f324(f324(f3(a920),x37701),f77(a920))),x37702),f324(f324(f3(a920),x37701),f324(a114,x37702))) % 194.45/194.25 [3776]E(f324(f324(f3(f928(x37761,a916)),f242(f928(x37761,a916))),x37762),f324(f78(f928(x37761,a916)),x37762)) % 194.45/194.25 [3777]E(f324(f324(f3(a1),f324(f105(a1),x37771)),f324(f105(a1),x37772)),f324(f105(a1),f324(f324(f79(a1),x37771),f324(f78(a1),x37772)))) % 194.45/194.25 [3790]E(f324(f172(a920),f139(a920,f324(f299(a920,x37901),f324(a114,x37902)))),f300(a920,x37901,x37902)) % 194.45/194.25 [3805]E(f324(f190(f921(f921(x38051))),f54(x38051,x38052)),f324(f324(f244(a920),f324(a114,f324(a114,f2(a920)))),f324(f190(f921(x38051)),x38052))) % 194.45/194.25 [3824]E(f324(f324(f183(f927(x38241,x38241),a916),f2(a920)),x38242),f304(x38241,f189(f928(f927(x38241,x38241),a916)))) % 194.45/194.25 [3828]P1(f324(f137(a920),f139(a920,f324(f299(a920,x38281),x38282)))) % 194.45/194.25 [3844]E(f324(f307(a1,a920,a106),f300(a1,f324(f102(a1),x38441),f324(f102(a1),x38442))),f300(a920,x38441,x38442)) % 194.45/194.25 [3853]E(f185(a920,f2(a920),f7(a920),f324(f324(f3(a920),x38531),x38532)),f324(f324(f3(a920),x38531),f324(a114,x38532))) % 194.45/194.25 [3854]E(f324(a106,f324(f324(f3(a1),x38541),f324(f324(f79(a1),x38542),f77(a1)))),f324(f35(a1),f303(a1,x38542,x38541))) % 194.45/194.25 [3890]E(f324(f324(f154(a920,a920),a114),f139(a920,f324(f299(a920,x38901),x38902))),f139(a920,f324(f299(a920,f324(a114,x38901)),f324(a114,x38902)))) % 194.45/194.25 [3898]E(f324(f172(a1),f178(f324(f324(f79(a1),x38981),f77(a1)),f324(f324(f3(a1),x38982),f77(a1)))),f303(a1,x38981,x38982)) % 194.45/194.25 [3910]P1(f324(f324(f234(f928(x39101,a916)),f189(f928(x39101,a916))),x39102)) % 194.45/194.25 [3914]E(f84(x39141,f324(f324(f9(x39141,x39141,a916),a321),x39142)),x39142) % 194.45/194.25 [3915]E(f89(x39151,f324(f324(f9(x39151,x39151,a916),a321),x39152)),x39152) % 194.45/194.25 [3919]E(f324(f172(a920),f139(a920,f324(f299(a920,f324(a114,x39191)),f324(a114,x39192)))),f302(a920,x39191,x39192)) % 194.45/194.25 [3945]E(f324(f324(f254(x39451,x39452),f242(f928(x39451,a916))),f324(f18(f928(x39452,a916),x39451),f242(f928(x39452,a916)))),f242(f928(f927(x39451,x39452),a916))) % 194.45/194.25 [3980]E(f324(f262(x39801),f324(f324(f10(a916,a916,x39801),a319),x39802)),f324(f78(f928(x39801,a916)),f324(f262(x39801),x39802))) % 194.45/194.25 [3983]E(f324(f262(x39831),f324(f324(f9(x39831,x39831,a916),a321),x39832)),f324(f324(f306(x39831),x39832),f189(f928(x39831,a916)))) % 194.45/194.25 [3990]E(f324(f324(f79(a1),f324(f324(f3(a1),x39901),x39902)),f324(f324(f3(a1),x39901),x39902)),f324(f324(f3(a1),f324(f324(f79(a1),x39901),x39901)),f324(f324(f79(a1),x39902),x39902))) % 194.45/194.25 [3991]E(f324(f324(f79(a1),f324(f324(f79(a1),x39911),x39911)),f324(f324(f79(a1),x39912),x39912)),f324(f324(f79(a1),f324(f324(f79(a1),x39911),x39912)),f324(f324(f79(a1),x39911),x39912))) % 194.45/194.25 [4006]P1(f324(f324(f234(a920),f324(f35(x40061),f324(f172(x40061),x40062))),f324(f190(f921(x40061)),x40062))) % 194.45/194.25 [4007]P1(f324(f324(f234(a920),f324(f190(f921(x40071)),f152(x40071,x40072))),f324(f190(f921(x40071)),x40072))) % 194.45/194.25 [4018]E(f324(f262(x40181),f324(f324(f9(x40181,f928(x40181,a916),a916),f326(x40181)),x40182)),x40182) % 194.45/194.25 [4032]E(f324(f324(f175(x40321),f324(f324(f3(a920),f324(f190(f921(x40321)),x40322)),f77(a920))),x40322),f116(x40321,x40322)) % 194.45/194.25 [4053]E(f185(a920,f2(a920),f324(f324(f10(a920,a920,a920),a114),f324(f188(a920),x40531)),x40532),f324(f324(f188(a920),f324(a114,x40531)),x40532)) % 194.45/194.25 [4058]E(f37(f928(x40581,a916),f324(f307(f928(f927(x40581,x40581),a916),f928(x40581,a916),f279(x40581)),x40582)),f324(f279(x40581),f37(f928(f927(x40581,x40581),a916),x40582))) % 194.45/194.25 [4059]E(f185(a920,f324(a114,x40591),f324(f324(f10(a920,a920,a920),a114),f324(f233(a920),x40591)),x40592),f324(f324(f233(a920),f324(a114,x40591)),x40592)) % 194.45/194.25 [4061]E(f324(f324(f252(a1,a1),f324(f324(f36(a1),f324(f75(a1),x40611)),f324(f75(a1),x40612))),f45(a1,f324(f75(a1),x40611),f324(f75(a1),x40612))),f53(x40611,x40612)) % 194.45/194.25 [4083]P1(f324(f324(f234(f928(f928(x40831,a916),a916)),x40832),f324(f305(x40831),f37(f928(x40831,a916),x40832)))) % 194.45/194.25 [4115]E(f324(f324(f40(x41151,f928(x41151,a916)),x41152),f324(f324(f9(x41151,f928(x41151,a916),f928(x41151,a916)),f306(x41151)),f189(f928(x41151,a916)))),x41152) % 194.45/194.25 [4116]E(f324(f324(f286(x41161,x41161,x41161),f324(f284(x41161,x41161),x41162)),f304(x41161,f324(f284(x41161,x41161),x41162))),f324(f284(x41161,x41161),f324(f324(f286(x41161,x41161,x41161),x41162),f304(x41161,x41162)))) % 194.45/194.25 [4181]E(f324(f172(x41811),f324(f142(f921(x41811),f921(x41811),f134(x41811),f115(x41811)),x41812)),f324(f324(f40(f921(x41811),f928(x41811,a916)),f324(f172(f921(x41811)),x41812)),f172(x41811))) % 194.45/194.25 [4212]E(f324(f324(f112(f928(f927(x42121,x42121),a916)),f304(x42121,f189(f928(f927(x42121,x42121),a916)))),f324(f324(f286(x42121,x42121,x42121),f304(x42121,x42122)),x42122)),f304(x42121,x42122)) % 194.45/194.25 [4248]E(f324(f324(f181(x42481,x42481),x42482),x42482),f324(f324(f154(x42481,f927(x42481,x42481)),f324(f324(f20(x42481,x42481,f927(x42481,x42481)),f252(x42481,x42481)),f7(x42481))),x42482)) % 194.45/194.25 [4359]E(f324(f142(a920,f921(x43591),f324(f9(f921(x43591),a920,a920),f324(f324(f10(a920,f928(a920,a920),f921(x43591)),f233(a920)),f190(f921(x43591)))),f2(a920)),f324(f168(f921(x43591)),x43592)),f324(f190(f921(f921(x43591))),f179(x43591,x43592))) % 194.45/194.25 [4431]E(f324(f324(f285(f927(a920,f921(x44311)),f921(x44311)),f317(a920,f921(x44311),a240,f145(x44311,x44312))),f324(f324(f20(f921(x44311),f921(x44311),f927(a920,f921(x44311))),f324(f324(f10(a920,f928(f921(x44311),f927(a920,f921(x44311))),f921(x44311)),f252(a920,f921(x44311))),f190(f921(x44311)))),f7(f921(x44311)))),f146(x44311,x44312)) % 194.45/194.25 [4558]E(f324(f262(x45581),f324(f324(f10(f928(f928(x45581,a916),a916),a916,x45581),f86(f928(x45581,a916))),f324(f324(f10(f928(f928(x45581,a916),a916),f928(f928(x45581,a916),a916),x45581),f324(f20(f928(x45581,a916),a916,a916),f324(f324(f10(a916,f928(a916,a916),f928(x45581,a916)),a322),f324(f324(f9(f928(x45581,a916),f928(f928(x45581,a916),a916),a916),f326(f928(x45581,a916))),x45582)))),f326(x45581)))),f37(f928(x45581,a916),x45582)) % 194.45/194.25 [4559]E(f324(f262(x45591),f324(f324(f10(f928(f928(x45591,a916),a916),a916,x45591),f87(f928(x45591,a916))),f324(f324(f10(f928(f928(x45591,a916),a916),f928(f928(x45591,a916),a916),x45591),f324(f20(f928(x45591,a916),a916,a916),f324(f324(f10(a916,f928(a916,a916),f928(x45591,a916)),a327),f324(f324(f9(f928(x45591,a916),f928(f928(x45591,a916),a916),a916),f326(f928(x45591,a916))),x45592)))),f326(x45591)))),f38(f928(x45591,a916),x45592)) % 194.45/194.25 [4689]~P1(f324(f324(f235(a1),f324(f102(a1),x46891)),f324(f78(a1),f324(f102(a1),x46892)))) % 194.45/194.25 [3651]E(f324(f324(f3(a920),f324(f324(f79(a920),x36511),x36512)),x36512),x36511) % 194.45/194.25 [3652]E(f324(f324(f3(a920),f324(f324(f79(a920),x36521),x36522)),x36521),x36522) % 194.45/194.25 [3719]E(f324(f324(f79(a920),f324(f324(f3(a920),x37191),x37192)),x37192),f324(f324(f233(a920),x37191),x37192)) % 194.45/194.25 [3831]E(f324(f324(f80(a920),f324(f324(f36(a920),x38311),x38312)),x38312),f324(f324(f3(a920),x38311),f45(a920,x38311,x38312))) % 194.45/194.25 [3858]E(f324(f172(a920),f139(a920,f324(f299(a920,f324(a114,x38581)),x38582))),f303(a920,x38581,x38582)) % 194.45/194.25 [3866]E(f324(f102(a1),f217(f324(a106,f324(f75(a1),x38661)),f324(a106,f324(f75(a1),x38662)))),f324(f324(a218,x38661),x38662)) % 194.45/194.25 [3868]E(f324(f324(f103(f928(x38681,a916)),f324(f78(f928(x38681,a916)),x38682)),x38682),f189(f928(x38681,a916))) % 194.45/194.25 [3869]E(f324(f324(f112(f928(x38691,a916)),f324(f78(f928(x38691,a916)),x38692)),x38692),f242(f928(x38691,a916))) % 194.45/194.25 [3886]P1(f324(f324(f234(a920),f324(f324(f3(a920),x38861),x38862)),x38861)) % 194.45/194.25 [3887]P1(f324(f324(f234(a920),f324(f324(f36(a920),x38871),x38872)),x38871)) % 194.45/194.25 [3911]P1(f324(f324(f235(a920),x39111),f324(a114,f324(f324(f79(a920),x39112),x39111)))) % 194.45/194.25 [3912]P1(f324(f324(f235(a920),x39121),f324(a114,f324(f324(f79(a920),x39121),x39122)))) % 194.45/194.25 [3929]E(f324(f324(f80(a920),f324(a106,f324(f75(a1),x39291))),f324(a106,f324(f75(a1),x39292))),f324(a106,f324(f75(a1),f324(f324(f80(a1),x39291),x39292)))) % 194.45/194.25 [3941]P1(f324(f324(f234(a1),f2(a1)),f324(f324(f244(a1),f324(f75(a1),x39411)),x39412))) % 194.45/194.25 [4011]E(f324(f283(f921(x40111),f921(x40111),f158(x40111,x40112)),f324(f324(f306(f921(x40111)),f115(x40111)),f189(f928(f921(x40111),a916)))),f324(f324(f306(f921(x40111)),f115(x40111)),f189(f928(f921(x40111),a916)))) % 194.45/194.25 [4030]E(f324(f324(f112(f928(f927(x40301,x40301),a916)),f304(x40301,x40302)),f304(x40301,f189(f928(f927(x40301,x40301),a916)))),f304(x40301,x40302)) % 194.45/194.25 [4043]E(f324(f324(f36(a1),f324(f105(a1),f324(f324(f79(a1),x40431),x40431))),f324(f105(a1),f324(f324(f79(a1),x40432),x40432))),f324(f324(f36(a1),f324(f105(a1),x40431)),f324(f105(a1),x40432))) % 194.45/194.25 [4105]E(f324(f324(f244(a1),x41051),f324(f105(a920),f324(f324(f79(a1),x41052),x41052))),f324(f324(f85(a1,a1),f324(f324(f244(a1),x41051),f324(f105(a920),x41052))),f324(f324(f20(a1,a1,a1),f80(a1)),f7(a1)))) % 194.45/194.25 [4111]E(f324(f262(f928(x41111,a916)),f324(f324(f9(f928(x41111,a916),f928(x41111,a916),a916),f234(f928(x41111,a916))),x41112)),f324(f305(x41111),x41112)) % 194.45/194.25 [4127]E(f324(f324(f154(a1,a920),a106),f324(f324(f134(a1),f324(f324(f154(a920,a1),f102(a1)),x41271)),f324(f324(f154(a920,a1),f102(a1)),x41272))),f324(f324(f134(a920),x41271),x41272)) % 194.45/194.25 [4159]E(f324(f307(a1,a1,f324(f324(f9(a1,a1,a1),f79(a1)),x41591)),f324(f299(a1,f2(a1)),f324(f324(f3(a1),x41592),x41591))),f324(f299(a1,x41591),x41592)) % 194.45/194.25 [4161]P54(x41611,f324(f324(f3(f928(f927(x41611,x41611),a916)),x41612),f304(x41611,f189(f928(f927(x41611,x41611),a916))))) % 194.45/194.25 [4179]E(f324(f190(f921(x41791)),f324(f142(f921(x41791),f921(x41791),f134(x41791),f115(x41791)),x41792)),f324(f165(a920),f324(f324(f154(f921(x41791),a920),f190(f921(x41791))),x41792))) % 194.45/194.25 [4183]P53(x41831,f242(f928(x41831,a916)),f324(f324(f112(f928(f927(x41831,x41831),a916)),x41832),f304(x41831,f189(f928(f927(x41831,x41831),a916))))) % 194.45/194.25 [4228]E(f185(a920,f2(a920),f324(f324(f10(a920,a920,a920),a114),f324(f324(f9(a920,a920,a920),f188(a920)),x42281)),x42282),f324(f324(f188(a920),x42282),f324(a114,x42281))) % 194.45/194.25 [4231]E(f185(a920,f324(a114,x42311),f324(f324(f10(a920,a920,a920),a114),f324(f324(f9(a920,a920,a920),f233(a920)),x42311)),x42312),f324(f324(f233(a920),x42312),f324(a114,x42311))) % 194.45/194.25 [4234]E(f324(f307(x42341,f921(x42341),f324(f324(f9(x42341,f921(x42341),f921(x42341)),f151(x42341)),f115(x42341))),x42342),f174(x42341,x42342,f324(f324(f306(f921(x42341)),f115(x42341)),f189(f928(f921(x42341),a916))))) % 194.45/194.25 [4236]E(f324(f324(f112(f928(f927(x42361,x42361),a916)),f324(f324(f286(x42361,x42361,x42361),x42362),f304(x42361,x42362))),f304(x42361,f189(f928(f927(x42361,x42361),a916)))),f304(x42361,x42362)) % 194.45/194.25 [4243]P1(f324(f324(f234(f928(f927(x42431,x42431),a916)),f263(x42431,x42432)),f324(f324(f254(x42431,x42431),x42432),f324(f18(f928(x42431,a916),x42431),x42432)))) % 194.45/194.25 [4246]E(f324(f307(a1,a920,a106),f324(f324(f103(f928(a1,a916)),f324(f307(a920,a1,f102(a1)),x42461)),f324(f307(a920,a1,f102(a1)),x42462))),f324(f324(f103(f928(a920,a916)),x42461),x42462)) % 194.45/194.25 [4247]E(f324(f307(a1,a920,a106),f324(f324(f112(f928(a1,a916)),f324(f307(a920,a1,f102(a1)),x42471)),f324(f307(a920,a1,f102(a1)),x42472))),f324(f324(f112(f928(a920,a916)),x42471),x42472)) % 194.45/194.25 [4250]E(f324(f262(x42501),f324(f324(f10(a916,a916,x42501),a319),f324(f324(f9(x42501,f928(x42501,a916),a916),f326(x42501)),x42502))),f324(f78(f928(x42501,a916)),x42502)) % 194.45/194.25 [4277]E(f324(f142(f921(x42771),f921(x42771),f134(x42771),f115(x42771)),f324(f324(f154(f921(x42771),f921(x42771)),f168(x42771)),f324(f168(f921(x42771)),x42772))),f324(f168(x42771),f324(f142(f921(x42771),f921(x42771),f134(x42771),f115(x42771)),x42772))) % 194.45/194.25 [4303]E(f324(f324(f40(a920,f928(f927(x43031,x43031),a916)),f242(f928(a920,a916))),f324(f324(f9(a920,f928(f927(x43031,x43031),a916),f928(f927(x43031,x43031),a916)),f183(f927(x43031,x43031),a916)),x43032)),f304(x43031,x43032)) % 194.45/194.25 [4321]E(f84(x43211,f324(f324(f10(f928(x43211,a916),a916,x43211),f324(a321,x43212)),f324(f324(f9(x43211,f928(x43211,a916),f928(x43211,a916)),f306(x43211)),f189(f928(x43211,a916))))),f309(x43211,x43212)) % 194.45/194.25 [4329]E(f324(f190(f921(x43291)),f152(x43291,f324(f142(f921(x43291),f921(x43291),f134(x43291),f115(x43291)),x43292))),f324(f35(x43291),f324(f324(f40(f921(x43291),f928(x43291,a916)),f324(f172(f921(x43291)),x43292)),f172(x43291)))) % 194.45/194.25 [4343]E(f324(f324(f112(f928(f927(x43431,x43431),a916)),x43432),f324(f324(f286(x43431,x43431,x43431),f324(f324(f286(x43431,x43431,x43431),x43432),f304(x43431,x43432))),x43432)),f324(f324(f286(x43431,x43431,x43431),x43432),f304(x43431,x43432))) % 194.45/194.25 [4367]P1(f324(f324(f234(f928(f927(x43671,x43671),a916)),f324(f324(f286(x43671,x43671,x43671),x43672),f304(x43671,x43672))),f324(f324(f254(x43671,x43671),f324(f279(x43671),x43672)),f324(f18(f928(x43671,a916),x43671),f324(f279(x43671),x43672))))) % 194.45/194.25 [4408]E(f324(f262(f921(x44081)),f324(f324(f9(f921(x44081),f928(x44081,a916),a916),f324(f324(f10(f928(x44081,a916),f928(f928(x44081,a916),a916),f921(x44081)),f234(f928(x44081,a916))),f172(x44081))),x44082)),f161(x44081,x44082)) % 194.45/194.25 [4419]E(f324(f156(f921(x44191),x44191,f115(x44191),f324(f324(f10(f921(x44191),f928(f921(x44191),f921(x44191)),x44191),f324(f9(f921(x44191),f921(x44191),f921(x44191)),f134(x44191))),f324(f324(f9(x44191,f921(x44191),f921(x44191)),f151(x44191)),f115(x44191)))),x44192),f324(f167(x44191),x44192)) % 194.45/194.25 [4459]P22(f928(x44591,x44592),f928(f927(x44591,x44592),a916),f324(f324(f10(f928(f927(x44591,x44592),a916),f928(f927(x44591,x44592),a916),f928(x44591,x44592)),f262(f927(x44591,x44592))),f324(f324(f10(f928(x44591,f928(x44592,a916)),f928(f927(x44591,x44592),a916),f928(x44591,x44592)),f257(x44591,x44592,a916)),f324(f10(x44592,f928(x44592,a916),x44591),f324(f9(x44592,x44592,a916),a321)))),f242(f928(f928(x44591,x44592),a916))) % 194.45/194.25 [4464]E(f45(a1,f324(f105(a1),f324(f324(f79(a1),x44641),x44641)),f324(f105(a1),f324(f324(f79(a1),x44642),x44642))),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f45(a1,f324(f105(a1),x44641),f324(f105(a1),x44642)))) % 194.45/194.25 [4508]E(f324(f324(f40(x45081,f928(f927(x45081,x45081),a916)),x45082),f324(f324(f9(x45081,f928(f927(x45081,x45081),a916),f928(f927(x45081,x45081),a916)),f324(f324(f10(f927(x45081,x45081),f928(f928(f927(x45081,x45081),a916),f928(f927(x45081,x45081),a916)),x45081),f306(f927(x45081,x45081))),f324(f324(f20(x45081,x45081,f927(x45081,x45081)),f252(x45081,x45081)),f7(x45081)))),f189(f928(f927(x45081,x45081),a916)))),f263(x45081,x45082)) % 194.45/194.25 [4516]E(f203(x45161,f324(f324(f252(a1,a1),f324(f78(a1),f324(f324(f72(f927(a1,a1),a1,x45161,f251(a1,a1)),f213(x45161)),x45162))),f324(f324(f72(f927(a1,a1),a1,x45161,f256(a1,a1)),f213(x45161)),x45162))),f228(x45161,x45162)) % 194.45/194.25 [4597]E(f324(f262(f928(x45971,a916)),f324(f324(f10(f928(f928(x45971,a916),a916),a916,f928(x45971,a916)),f86(f928(x45971,a916))),f324(f324(f9(f928(x45971,a916),f928(f928(x45971,a916),a916),f928(f928(x45971,a916),a916)),f324(f324(f10(f928(f928(x45971,a916),f928(a916,a916)),f928(f928(f928(x45971,a916),a916),f928(f928(x45971,a916),a916)),f928(x45971,a916)),f20(f928(x45971,a916),a916,a916)),f324(f324(f10(f928(f928(x45971,a916),a916),f928(f928(x45971,a916),f928(a916,a916)),f928(x45971,a916)),f324(f10(a916,f928(a916,a916),f928(x45971,a916)),a322)),f324(f324(f9(f928(x45971,a916),f928(f928(x45971,a916),f928(x45971,a916)),f928(f928(x45971,a916),a916)),f324(f324(f10(f928(f928(x45971,a916),a916),f928(f928(f928(x45971,a916),f928(x45971,a916)),f928(f928(x45971,a916),a916)),f928(x45971,a916)),f10(f928(x45971,a916),a916,f928(x45971,a916))),a321)),f78(f928(x45971,a916)))))),f324(f324(f10(f928(f928(x45971,a916),a916),a916,f928(x45971,a916)),f324(f326(f928(x45971,a916)),x45972)),f305(x45971))))),f324(f305(x45971),f324(f78(f928(x45971,a916)),x45972))) % 194.45/194.25 [4687]~E(f324(f324(f79(a1),x46871),x46871),f324(f324(f3(a1),f324(f324(f79(a1),x46872),x46872)),a99)) % 194.45/194.25 [4691]~P1(f324(f324(f235(a920),f324(f324(f79(a920),x46911),x46912)),x46912)) % 194.45/194.25 [4692]~P1(f324(f324(f235(a920),f324(f324(f79(a920),x46921),x46922)),x46921)) % 194.45/194.25 [3946]E(f324(f324(f3(a920),x39461),f324(f324(f80(a920),f324(f324(f36(a920),x39461),x39462)),x39462)),f45(a920,x39461,x39462)) % 194.45/194.25 [3947]E(f324(f324(f3(a1),x39471),f324(f324(f80(a1),f324(f324(f36(a1),x39471),x39472)),x39472)),f45(a1,x39471,x39472)) % 194.45/194.25 [3981]E(f324(f324(f154(a920,x39811),f324(f164(x39811),x39812)),f139(a920,f324(f299(a920,f2(a920)),f324(f190(f921(x39811)),x39812)))),x39812) % 194.45/194.25 [4039]E(f324(f283(x40391,x40391,f304(x40391,f189(f928(f927(x40391,x40391),a916)))),x40392),x40392) % 194.45/194.25 [4164]E(f304(x41641,f324(f324(f3(f928(f927(x41641,x41641),a916)),x41642),f304(x41641,f189(f928(f927(x41641,x41641),a916))))),f304(x41641,x41642)) % 194.45/194.25 [4165]E(f304(x41651,f324(f324(f112(f928(f927(x41651,x41651),a916)),x41652),f304(x41651,f189(f928(f927(x41651,x41651),a916))))),f304(x41651,x41652)) % 194.45/194.25 [4215]E(f324(f324(f3(a1),f324(f324(f3(a1),f324(f324(f79(a1),x42151),x42151)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),x42152),x42152)),a99)),f324(f324(f79(a1),f324(f324(f3(a1),x42151),x42152)),f324(f324(f3(a1),x42151),x42152))) % 194.45/194.25 [4255]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f79(a1),x42551),x42552)),f324(f324(f79(a1),x42551),x42552))),a99),f324(f324(f79(a1),f324(f324(f79(a1),x42551),x42551)),f324(f324(f3(a1),f324(f324(f79(a1),x42552),x42552)),a99))) % 194.45/194.25 [4280]E(f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),x42801),x42801)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),x42802),x42802)),a99)),f324(f324(f79(a1),f324(f324(f79(a1),x42801),f324(f324(f3(a1),x42802),a99))),f324(f324(f79(a1),x42801),f324(f324(f3(a1),x42802),a99)))) % 194.45/194.25 [4291]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),x42911),x42912)),f324(f324(f3(a1),x42911),x42912))),a99),f324(f324(f3(a1),f324(f324(f3(a1),f324(f324(f79(a1),x42911),x42911)),a99)),f324(f324(f79(a1),x42912),x42912))) % 194.45/194.25 [4292]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f79(a1),x42921),x42922)),f324(f324(f79(a1),x42921),x42922))),a99),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),x42921),x42921)),a99)),f324(f324(f79(a1),x42922),x42922))) % 194.45/194.25 [4340]E(f324(f102(a1),f324(f324(f36(a920),f324(f324(f80(a920),f324(a106,f324(f75(a1),x43401))),f324(a106,f324(f75(a1),x43402)))),f217(f324(a106,f324(f75(a1),x43401)),f324(a106,f324(f75(a1),x43402))))),f219(x43401,x43402)) % 194.45/194.25 [4385]E(f324(f324(f259(f927(a101,a101),a101,f927(a101,a101),f927(x43851,f927(a101,a101))),f267(f324(a5,f324(f190(f921(x43851)),x43852)))),f324(f324(f10(x43851,f928(f927(a101,a101),f927(x43851,f927(a101,a101))),a101),f252(x43851,f927(a101,a101))),f324(f324(f10(a920,x43851,a101),f324(f164(x43851),x43852)),a22))),f273(x43851,x43852)) % 194.45/194.25 [4465]E(f324(f142(a920,f921(x44651),f324(f9(f921(x44651),a920,a920),f324(f324(f10(a920,f928(a920,a920),f921(x44651)),f233(a920)),f190(f921(x44651)))),f2(a920)),f324(f168(f921(x44651)),f179(x44651,x44652))),f324(f190(f921(f921(x44651))),f324(f136(f921(x44651),f324(f324(f10(a916,a916,f921(x44651)),a319),f324(f324(f9(f921(x44651),f921(x44651),a916),a321),f115(x44651)))),x44652))) % 194.45/194.25 [4471]E(f324(f324(f40(a920,f928(x44711,a916)),f242(f928(a920,a916))),f324(f324(f9(a920,f928(a920,f928(x44711,a916)),f928(x44711,a916)),f324(f324(f10(f928(a920,a916),f928(f928(a920,f928(x44711,a916)),f928(x44711,a916)),a920),f40(a920,f928(x44711,a916))),f299(a920,f2(a920)))),x44712)),f324(f324(f40(a920,f928(x44711,a916)),f242(f928(a920,a916))),x44712)) % 194.45/194.25 [4493]P1(f324(f61(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),x44931)),f324(f324(f9(a920,a920,a916),f235(a920)),x44932))))) % 194.45/194.25 [4606]E(f324(f262(f927(f921(x46061),f921(x46061))),f324(f257(f921(x46061),f921(x46061),a916),f324(f324(f20(f921(x46061),f928(f921(x46061),a916),f928(f921(x46061),a916)),f324(f324(f10(f928(f921(x46061),f928(a916,a916)),f928(f928(f921(x46061),a916),f928(f921(x46061),a916)),f921(x46061)),f20(f921(x46061),a916,a916)),f324(f324(f10(f928(f921(x46061),a916),f928(f921(x46061),f928(a916,a916)),f921(x46061)),f324(f10(a916,f928(a916,a916),f921(x46061)),a323)),f324(f324(f9(f921(x46061),f928(f921(x46061),a920),f928(f921(x46061),a916)),f324(f324(f10(f928(a920,a916),f928(f928(f921(x46061),a920),f928(f921(x46061),a916)),f921(x46061)),f10(a920,a916,f921(x46061))),f324(f324(f10(a920,f928(a920,a916),f921(x46061)),f235(a920)),f190(f921(x46061))))),f190(f921(x46061)))))),f324(f324(f20(f921(x46061),f928(f921(x46061),a916),f928(f921(x46061),a916)),f324(f324(f10(f928(f921(x46061),f928(a916,a916)),f928(f928(f921(x46061),a916),f928(f921(x46061),a916)),f921(x46061)),f20(f921(x46061),a916,a916)),f324(f324(f10(f928(f921(x46061),a916),f928(f921(x46061),f928(a916,a916)),f921(x46061)),f324(f10(a916,f928(a916,a916),f921(x46061)),a322)),f324(f324(f9(f921(x46061),f928(f921(x46061),a920),f928(f921(x46061),a916)),f324(f324(f10(f928(a920,a916),f928(f928(f921(x46061),a920),f928(f921(x46061),a916)),f921(x46061)),f10(a920,a916,f921(x46061))),f324(f324(f10(a920,f928(a920,a916),f921(x46061)),a321),f190(f921(x46061))))),f190(f921(x46061)))))),f324(f324(f9(f921(x46061),f928(f927(f921(x46061),f921(x46061)),a916),f928(f921(x46061),a916)),f324(f324(f10(f928(f921(x46061),f928(f928(f927(f921(x46061),f921(x46061)),a916),a916)),f928(f928(f927(f921(x46061),f921(x46061)),a916),f928(f921(x46061),a916)),f921(x46061)),f9(f921(x46061),f928(f927(f921(x46061),f921(x46061)),a916),a916)),f324(f324(f10(f928(f921(x46061),f927(f921(x46061),f921(x46061))),f928(f921(x46061),f928(f928(f927(f921(x46061),f921(x46061)),a916),a916)),f921(x46061)),f324(f10(f927(f921(x46061),f921(x46061)),f928(f928(f927(f921(x46061),f921(x46061)),a916),a916),f921(x46061)),f326(f927(f921(x46061),f921(x46061))))),f252(f921(x46061),f921(x46061))))),f145(x46061,x46062)))))),f146(x46061,x46062)) % 194.45/194.25 [4283]E(f324(f324(f79(a1),f324(f324(f79(a1),f324(f324(f80(a1),x42831),x42832)),f324(f324(f80(a1),x42831),x42832))),x42832),f324(f324(f80(a1),f324(f324(f3(a1),f324(f324(f79(a1),x42831),x42831)),a99)),x42832)) % 194.45/194.25 [4384]E(f324(a106,f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x43841),x43842)),f189(f928(f927(a920,a920),a916)))))),f324(f324(f3(a920),x43841),x43842)) % 194.45/194.25 [4388]E(f324(f324(f286(x43881,x43881,x43881),f324(f324(f112(f928(f927(x43881,x43881),a916)),x43882),f304(x43881,f189(f928(f927(x43881,x43881),a916))))),f304(x43881,f324(f324(f112(f928(f927(x43881,x43881),a916)),x43882),f304(x43881,f189(f928(f927(x43881,x43881),a916)))))),f304(x43881,x43882)) % 194.45/194.25 [4425]E(f268(x44251,f324(f136(f927(a101,x44251),f324(f257(a101,x44251,a916),f324(f324(f10(a916,f928(x44251,a916),a101),f18(a916,x44251)),f324(f235(a101),f2(a101))))),x44252)),f268(x44251,x44252)) % 194.45/194.25 [4426]E(f266(x44261,f324(f136(f927(a101,x44261),f324(f257(a101,x44261,a916),f324(f324(f10(a916,f928(x44261,a916),a101),f18(a916,x44261)),f324(f235(a101),f2(a101))))),x44262)),f266(x44261,x44262)) % 194.45/194.25 [4428]E(f324(f78(a1),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x44281),x44282)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x44282),x44281)),f189(f928(f927(a920,a920),a916)))))) % 194.45/194.25 [4484]E(f324(f324(f285(f921(a920),x44841),f145(a920,a240)),f324(f324(f9(x44841,f921(f928(x44841,a920)),f921(a920)),f324(f324(f10(f928(f928(x44841,a920),a920),f928(f921(f928(x44841,a920)),f921(a920)),x44841),f154(f928(x44841,a920),a920)),f324(f9(f928(x44841,a920),x44841,a920),f7(f928(x44841,a920))))),x44842)),f153(x44841,x44842)) % 194.45/194.25 [4505]E(f324(f324(f85(a1,a920),f324(f105(a1),f324(f324(f79(a1),x45051),a99))),f324(f324(f20(a1,a920,a920),f324(f324(f9(a1,a920,f928(a920,a920)),f324(f324(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),f324(f324(f10(a920,a920,a1),a114),f324(f324(f10(a920,a920,a1),f324(f188(a920),x45052)),a106)))),f324(f324(f188(a920),f324(a114,x45052)),f324(f105(a920),x45051))) % 194.45/194.25 [4506]E(f324(f324(f85(a1,a920),f324(f105(a1),f324(f324(f79(a1),x45061),a99))),f324(f324(f20(a1,a920,a920),f324(f324(f9(a1,a920,f928(a920,a920)),f324(f324(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f324(a114,x45062))),f324(f324(f10(a920,a920,a1),a114),f324(f324(f10(a920,a920,a1),f324(f233(a920),x45062)),a106)))),f324(f324(f233(a920),f324(a114,x45062)),f324(f105(a920),x45061))) % 194.45/194.25 [4526]E(f324(f142(f921(x45261),f921(x45261),f134(x45261),f115(x45261)),f324(f324(f154(f921(x45261),f921(x45261)),f156(f921(x45261),x45261,f115(x45261),f324(f324(f10(f921(x45261),f928(f921(x45261),f921(x45261)),x45261),f18(f921(x45261),f921(x45261))),f324(f324(f9(x45261,f921(x45261),f921(x45261)),f151(x45261)),f115(x45261))))),x45262)),f324(f324(f154(f921(x45261),x45261),f141(x45261)),f324(f136(f921(x45261),f324(f324(f10(a916,a916,f921(x45261)),a319),f324(f324(f9(f921(x45261),f921(x45261),a916),a321),f115(x45261)))),x45262))) % 194.45/194.25 [4588]E(f324(f257(a1,a1,a916),f324(f324(f9(a1,f928(a1,a916),f928(a1,a916)),f324(f324(f10(f928(a1,f928(a916,a916)),f928(f928(a1,a916),f928(a1,a916)),a1),f20(a1,a916,a916)),f324(f324(f10(f928(a1,a916),f928(a1,f928(a916,a916)),a1),f324(f10(a916,f928(a916,a916),a1),a322)),f324(f324(f10(f928(a1,a1),f928(a1,a916),a1),f324(f10(a1,a916,a1),f324(a321,x45881))),f324(f324(f10(a1,f928(a1,a1),a1),f79(a1)),f324(f80(a1),x45882)))))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),f324(a327,f324(f324(f235(a1),f2(a1)),x45882))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),f324(f324(f9(a1,a1,a916),f235(a1)),x45882))))),f324(f324(f10(a916,a916,a1),f324(a327,f324(a319,f324(f324(f235(a1),f2(a1)),x45882)))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f235(a1),x45882))),f324(f324(f9(a1,a1,a916),f234(a1)),f2(a1))))))),f49(x45881,x45882)) % 194.45/194.25 [4591]E(f324(f262(x45911),f324(f324(f10(f928(a920,a916),a916,x45911),f86(a920)),f324(f324(f9(x45911,f928(a920,a916),f928(a920,a916)),f324(f324(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),x45911),f20(a920,a916,a916)),f324(f324(f10(f928(a920,a916),f928(a920,f928(a916,a916)),x45911),f324(f10(a916,f928(a916,a916),a920),a322)),f324(f324(f9(x45911,f928(a920,x45911),f928(a920,a916)),f324(f324(f10(f928(x45911,a916),f928(f928(a920,x45911),f928(a920,a916)),x45911),f10(x45911,a916,a920)),a321)),f324(f164(x45911),x45912))))),f324(f324(f9(a920,a920,a916),f235(a920)),f324(f190(f921(x45911)),x45912))))),f324(f172(x45911),x45912)) % 194.45/194.25 [4398]E(f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),x43981),a99)),x43982)),f324(f324(f3(a1),f324(f324(f79(a1),x43981),a99)),x43982))),a99),f324(f324(f3(a1),f324(f324(f79(a1),x43981),x43981)),f324(f324(f3(a1),f324(f324(f79(a1),x43982),x43982)),a99))) % 194.45/194.25 [4521]E(f324(f142(f921(f921(x45211)),f921(f921(x45211)),f134(f921(x45211)),f115(f921(x45211))),f324(f324(f154(f921(x45211),f921(f921(x45211))),f156(f921(f921(x45211)),x45211,f115(f921(x45211)),f324(f18(f928(f921(x45211),f921(f921(x45211))),x45211),f324(f324(f9(f921(x45211),f921(f921(x45211)),f921(f921(x45211))),f151(f921(x45211))),f115(f921(x45211)))))),x45212)),f324(f324(f154(f921(x45211),f921(x45211)),f171(x45211)),f324(f136(f921(x45211),f324(f324(f10(a916,a916,f921(x45211)),a319),f324(f324(f9(f921(x45211),f921(x45211),a916),a321),f115(x45211)))),x45212))) % 194.45/194.25 [4531]E(f324(f324(f85(a1,a920),f324(f105(a1),f324(f324(f79(a1),x45311),a99))),f324(f324(f20(a1,a920,a920),f324(f324(f9(a1,a920,f928(a920,a920)),f324(f324(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),f324(f324(f10(a920,a920,a1),a114),f324(f324(f9(a1,a920,a920),f324(f324(f10(a920,f928(a920,a920),a1),f188(a920)),a106)),x45312)))),f324(f324(f188(a920),f324(f105(a920),x45311)),f324(a114,x45312))) % 194.45/194.25 [4532]E(f324(f324(f85(a1,a920),f324(f105(a1),f324(f324(f79(a1),x45321),a99))),f324(f324(f20(a1,a920,a920),f324(f324(f9(a1,a920,f928(a920,a920)),f324(f324(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f324(a114,x45322))),f324(f324(f10(a920,a920,a1),a114),f324(f324(f9(a1,a920,a920),f324(f324(f10(a920,f928(a920,a920),a1),f233(a920)),a106)),x45322)))),f324(f324(f233(a920),f324(f105(a920),x45321)),f324(a114,x45322))) % 194.45/194.25 [4520]E(f324(f257(x45201,x45201,a916),f324(f324(f20(x45201,a916,f928(x45201,a916)),f324(f324(f10(f928(x45201,f928(a916,a916)),f928(a916,f928(x45201,a916)),x45201),f9(x45201,a916,a916)),f324(f324(f10(f928(x45201,a916),f928(x45201,f928(a916,a916)),x45201),f324(f10(a916,f928(a916,a916),x45201),a322)),a321))),x45202)),f263(x45201,x45202)) % 194.45/194.25 [4565]E(f324(f324(f36(a920),x45651),f324(f324(f79(a920),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),x45652)),f324(f324(f36(a920),x45651),f324(a114,f324(a114,f324(a114,x45652))))) % 194.45/194.25 [4566]E(f45(a920,x45661,f324(f324(f79(a920),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),x45662)),f45(a920,x45661,f324(a114,f324(a114,f324(a114,x45662))))) % 194.45/194.25 [4567]E(f45(a920,f324(f324(f79(a920),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),x45671),x45672),f45(a920,f324(a114,f324(a114,f324(a114,x45671))),x45672)) % 194.45/194.25 [4579]E(f124(f324(x45791,f324(f324(f80(a101),f324(f105(a101),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),x45792))),f324(f201(x45791),x45792)) % 194.45/194.25 [4580]E(f324(f324(f36(a920),f324(f324(f79(a920),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),x45801)),x45802),f324(f324(f36(a920),f324(a114,f324(a114,f324(a114,x45801)))),x45802)) % 194.45/194.25 [4639]~E(f27(x46391,x46392,x46393),a25) % 194.45/194.25 [4640]~E(f26(x46401,x46402,x46403),a25) % 194.45/194.25 [4644]~E(f127(x46441,x46442,x46443),f121(x46441)) % 194.45/194.25 [3378]E(f324(f193(x33781,x33782),x33783),f122(x33781,x33782)) % 194.45/194.25 [3397]E(f324(f200(x33971,x33972),x33973),f324(f130(x33971),x33972)) % 194.45/194.25 [3472]E(f324(f324(f154(x34721,x34722),x34723),f115(x34721)),f115(x34722)) % 194.45/194.25 [3513]E(f324(f184(x35131,x35132,x35133),f2(a920)),x35132) % 194.45/194.25 [3515]E(f324(f324(f181(x35151,x35152),x35153),f115(x35152)),f115(f927(x35151,x35152))) % 194.45/194.25 [3530]E(f324(f190(f921(x35301)),f169(x35301,x35302,x35303)),x35302) % 194.45/194.25 [3549]E(f84(x35491,f62(x35491,x35492,x35493)),f324(f63(x35491,x35492),x35493)) % 194.45/194.25 [3553]E(f243(x35531,x35532,f243(x35532,x35531,x35533)),x35533) % 194.45/194.25 [3573]E(f324(f168(x35731),f169(x35731,x35732,x35733)),f169(x35731,x35732,x35733)) % 194.45/194.25 [3600]E(f140(x36001,x36002,f152(x36001,x36003)),f152(x36001,f140(x36001,x36002,x36003))) % 194.45/194.25 [3618]E(f324(f251(f921(x36181),f921(x36181)),f166(x36181,x36182,x36183)),f324(f136(x36181,x36182),x36183)) % 194.45/194.25 [3660]E(f324(f324(f151(x36601),x36602),f169(x36601,x36603,x36602)),f169(x36601,f324(a114,x36603),x36602)) % 194.45/194.25 [3694]E(f185(x36941,x36942,x36943,f2(a920)),x36942) % 194.45/194.25 [3695]E(f19(x36951,x36952,x36953,f2(a101)),x36952) % 194.45/194.25 [3696]E(f21(x36961,x36962,x36963,f2(a101)),x36962) % 194.45/194.25 [3703]E(f163(x37031,x37032,x37033,f115(x37031)),f115(x37032)) % 194.45/194.25 [3709]E(f324(f324(f164(x37091),f324(f324(f151(x37091),x37092),x37093)),f2(a920)),x37092) % 194.45/194.25 [3739]E(f59(x37391,x37392,f115(x37391),x37393),f115(f927(x37391,x37392))) % 194.45/194.25 [3760]P22(x37601,x37602,x37603,f189(f928(x37601,a916))) % 194.45/194.25 [3862]E(f265(x38621,x38622,x38623),f324(f252(f928(a101,f928(a916,f924(f922(x38621)))),f927(a101,a101)),f41(x38621))) % 194.45/194.25 [3920]E(f324(f72(x39201,x39202,x39201,x39203),f31(x39201)),x39203) % 194.45/194.25 [4097]P1(f324(f324(f326(f927(x40971,x40971)),f324(f324(f252(x40971,x40971),x40972),x40972)),f304(x40971,x40973))) % 194.45/194.25 [4696]~P1(f324(f324(f326(f927(f921(x46961),f921(x46961))),f324(f324(f252(f921(x46961),f921(x46961)),x46962),f115(x46961))),f145(x46961,x46963))) % 194.45/194.25 [4697]~P1(f324(f324(f326(f927(f921(x46971),f921(x46971))),f324(f324(f252(f921(x46971),f921(x46971)),x46972),f115(x46971))),f147(x46971,x46973))) % 194.45/194.25 [4698]~P1(f324(f324(f326(f927(f921(x46981),f921(x46981))),f324(f324(f252(f921(x46981),f921(x46981)),x46982),f115(x46981))),f157(x46981,x46983))) % 194.45/194.25 [4699]~P1(f324(f324(f326(f927(f921(x46991),f921(x46991))),f324(f324(f252(f921(x46991),f921(x46991)),f115(x46991)),x46992)),f145(x46991,x46993))) % 194.45/194.25 [4700]~P1(f324(f324(f326(f927(f921(x47001),f921(x47001))),f324(f324(f252(f921(x47001),f921(x47001)),f115(x47001)),x47002)),f157(x47001,x47003))) % 194.45/194.25 [3448]E(f324(f324(f202(x34481),x34482),x34483),f203(x34481,f216(x34482,x34483))) % 194.45/194.25 [3501]E(f324(f284(x35011,x35012),f324(f284(x35012,x35011),x35013)),x35013) % 194.45/194.25 [3525]E(f324(f324(f181(x35251,x35252),f115(x35251)),x35253),f115(f927(x35251,x35252))) % 194.45/194.25 [3528]E(f176(x35281,x35282,f324(f280(a920),x35283)),f324(f324(f175(x35281),x35283),x35282)) % 194.45/194.25 [3546]E(f152(x35461,f324(f136(x35461,x35462),x35463)),f324(f136(x35461,x35462),f152(x35461,x35463))) % 194.45/194.25 [3547]E(f324(f282(x35471,x35472),f324(f284(x35472,x35471),x35473)),f324(f264(x35472,x35471),x35473)) % 194.45/194.25 [3548]E(f324(f264(x35481,x35482),f324(f284(x35482,x35481),x35483)),f324(f282(x35482,x35481),x35483)) % 194.45/194.25 [3566]E(f324(f136(x35661,x35662),f324(f168(x35661),x35663)),f324(f168(x35661),f324(f136(x35661,x35662),x35663))) % 194.45/194.25 [3579]E(f324(f324(f138(x35791),x35792),f324(f171(x35791),x35793)),f324(f324(f138(x35791),f324(a114,x35792)),x35793)) % 194.45/194.25 [3595]E(f28(f26(x35951,x35952,x35953)),f324(f324(f79(a920),f28(x35953)),f324(a114,f2(a920)))) % 194.45/194.25 [3596]E(f324(f307(x35961,x35962,x35963),f189(f928(x35961,a916))),f189(f928(x35962,a916))) % 194.45/194.25 [3597]E(f324(f283(x35971,x35972,x35973),f189(f928(x35971,a916))),f189(f928(x35972,a916))) % 194.45/194.25 [3598]E(f324(f308(x35981,x35982,x35983),f189(f928(x35982,a916))),f189(f928(x35981,a916))) % 194.45/194.25 [3599]E(f324(f308(x35991,x35992,x35993),f242(f928(x35992,a916))),f242(f928(x35991,a916))) % 194.45/194.25 [3625]E(f324(f324(f306(x36251),x36252),f324(f172(x36251),x36253)),f324(f172(x36251),f140(x36251,x36252,x36253))) % 194.45/194.25 [3713]E(f324(f190(a917),f26(x37131,x37132,x37133)),f324(f324(f79(a920),f324(f190(a917),x37133)),f324(a114,f2(a920)))) % 194.45/194.25 [3714]E(f324(f307(f927(x37141,x37142),x37142,f256(x37141,x37142)),x37143),f324(f282(x37141,x37142),x37143)) % 194.45/194.25 [3715]E(f324(f307(f927(x37151,x37152),x37151,f251(x37151,x37152)),x37153),f324(f264(x37151,x37152),x37153)) % 194.45/194.25 [3731]E(f324(f172(x37311),f169(x37311,f324(a114,x37312),x37313)),f324(f324(f306(x37311),x37313),f189(f928(x37311,a916)))) % 194.45/194.25 [3789]E(f324(f324(f252(x37891,x37892),f324(f251(x37891,x37892),x37893)),f324(f256(x37891,x37892),x37893)),x37893) % 194.45/194.25 [3796]E(f324(f190(f922(x37961)),f127(x37961,x37962,x37963)),f324(f324(f79(a920),f324(f190(f922(x37961)),x37963)),f324(a114,f2(a920)))) % 194.45/194.25 [3797]E(f324(f324(f257(x37971,x37972,x37971),f18(x37971,x37972)),x37973),f324(f251(x37971,x37972),x37973)) % 194.45/194.25 [3875]E(f28(f27(x38751,x38752,x38753)),f324(f324(f79(a920),f324(f324(f79(a920),f28(x38752)),f28(x38753))),f324(a114,f2(a920)))) % 194.45/194.25 [3925]E(f324(f72(x39251,x39251,x39252,f31(x39251)),x39253),x39253) % 194.45/194.25 [3932]E(f324(f324(f134(x39321),f169(x39321,x39322,x39323)),f324(f324(f151(x39321),x39323),f115(x39321))),f324(f324(f151(x39321),x39323),f169(x39321,x39322,x39323))) % 194.45/194.25 [4033]E(f324(f190(a917),f27(x40331,x40332,x40333)),f324(f324(f79(a920),f324(f324(f79(a920),f324(f190(a917),x40332)),f324(f190(a917),x40333))),f324(a114,f2(a920)))) % 194.45/194.25 [4106]P1(f324(f324(f234(f928(x41061,a916)),f324(f172(x41061),f324(f136(x41061,x41062),x41063))),f324(f172(x41061),x41063))) % 194.45/194.25 [4150]P1(f324(f324(f234(f928(x41501,a916)),f324(f172(x41501),f324(f324(f175(x41501),x41502),x41503))),f324(f172(x41501),x41503))) % 194.45/194.25 [4151]P1(f324(f324(f234(f928(x41511,a916)),f324(f172(x41511),f324(f324(f138(x41511),x41512),x41513))),f324(f172(x41511),x41513))) % 194.45/194.25 [4155]P1(f324(f324(f234(f928(x41551,a916)),f324(f172(x41551),f176(x41551,x41552,x41553))),f324(f172(x41551),x41552))) % 194.45/194.25 [4156]P1(f324(f324(f234(f928(x41561,a916)),f324(f172(x41561),f170(x41561,x41562,x41563))),f324(f172(x41561),x41563))) % 194.45/194.25 [4177]P22(f927(x41771,x41772),f927(x41772,x41771),f324(f257(x41771,x41772,f927(x41772,x41771)),f324(f9(x41772,x41771,f927(x41772,x41771)),f252(x41772,x41771))),x41773) % 194.45/194.25 [4188]E(f324(f324(f324(f183(f921(x41881),f921(x41881)),f45(a920,x41882,f324(f190(f921(x41881)),x41883))),f167(x41881)),x41883),f324(f324(f324(f183(f921(x41881),f921(x41881)),x41882),f167(x41881)),x41883)) % 194.45/194.25 [4232]P1(f324(f324(f326(f927(f921(x42321),f921(x42321))),f324(f324(f252(f921(x42321),f921(x42321)),x42322),x42322)),f158(x42321,f304(x42321,x42323)))) % 194.45/194.25 [4371]E(f84(f927(x43711,x43712),f324(f324(f20(f927(x43711,x43712),x43712,a916),f324(f324(f10(x43711,f928(x43712,a916),f927(x43711,x43712)),x43713),f251(x43711,x43712))),f256(x43711,x43712))),f84(f927(x43711,x43712),f324(f257(x43711,x43712,a916),x43713))) % 194.45/194.25 [4372]E(f89(f927(x43721,x43722),f324(f324(f20(f927(x43721,x43722),x43722,a916),f324(f324(f10(x43721,f928(x43722,a916),f927(x43721,x43722)),x43723),f251(x43721,x43722))),f256(x43721,x43722))),f89(f927(x43721,x43722),f324(f257(x43721,x43722,a916),x43723))) % 194.45/194.25 [4405]E(f324(f324(f285(f927(a920,x44051),x44051),f317(a920,x44051,a240,x44052)),f324(f324(f20(x44051,x44051,f927(a920,x44051)),f324(f324(f10(a920,f928(x44051,f927(a920,x44051)),x44051),f252(a920,x44051)),x44053)),f7(x44051))),f318(x44051,x44053,x44052)) % 194.45/194.25 [4467]E(f324(f258(x44671,x44671,x44672,x44672,f7(x44671),f7(x44672)),x44673),x44673) % 194.45/194.25 [4540]E(f324(f142(f921(f921(x45401)),f921(f921(x45401)),f134(f921(x45401)),f115(f921(x45401))),f324(f324(f154(f921(x45401),f921(f921(x45401))),f324(f324(f9(f921(x45401),f921(x45401),f921(f921(x45401))),f324(f324(f10(f928(x45401,f921(x45401)),f928(f921(x45401),f921(f921(x45401))),f921(x45401)),f154(x45401,f921(x45401))),f324(f9(x45401,f921(x45401),f921(x45401)),f151(x45401)))),x45402)),f55(x45401,x45403,x45402))),f55(x45401,f324(a114,x45403),x45402)) % 194.45/194.25 [4596]E(f224(a920,f927(x45961,f922(x45961)),f2(a920),f324(f257(x45961,f922(x45961),a920),f324(f324(f9(x45961,a920,f928(f922(x45961),a920)),f324(f324(f10(f928(f922(x45961),f928(a920,a920)),f928(a920,f928(f922(x45961),a920)),x45961),f9(f922(x45961),a920,a920)),f324(f324(f10(f928(f922(x45961),a920),f928(f922(x45961),f928(a920,a920)),x45961),f324(f10(a920,f928(a920,a920),f922(x45961)),f79(a920))),f324(f324(f9(x45961,f928(f922(x45961),a920),f928(f922(x45961),a920)),f324(f324(f10(f928(a920,a920),f928(f928(f922(x45961),a920),f928(f922(x45961),a920)),x45961),f10(a920,a920,f922(x45961))),f324(f324(f10(a920,f928(a920,a920),x45961),f79(a920)),x45962))),f126(x45961,x45962))))),f77(a920))),f324(f135(x45961),x45963)),f324(f126(x45961,x45962),x45963)) % 194.45/194.25 [4605]E(f324(f324(f85(a1,x46051),f219(f324(f324(f72(f927(a1,a1),a1,x46051,f256(a1,a1)),f213(x46051)),x46052),f324(f324(f72(f927(a1,a1),a1,x46051,f256(a1,a1)),f213(x46051)),x46053))),f324(f324(f20(a1,a1,x46051),f324(f324(f10(a1,f928(a1,x46051),a1),f202(x46051)),f324(f324(f20(a1,a1,a1),f324(f324(f10(a1,f928(a1,a1),a1),f79(a1)),f324(f324(f10(a1,a1,a1),f324(f80(a1),f324(f324(f72(f927(a1,a1),a1,x46051,f251(a1,a1)),f213(x46051)),x46052))),f324(f324(f9(a1,a1,a1),f36(a1)),f324(f324(f72(f927(a1,a1),a1,x46051,f256(a1,a1)),f213(x46051)),x46052))))),f324(f324(f10(a1,a1,a1),f324(f80(a1),f324(f324(f72(f927(a1,a1),a1,x46051,f251(a1,a1)),f213(x46051)),x46053))),f324(f324(f9(a1,a1,a1),f36(a1)),f324(f324(f72(f927(a1,a1),a1,x46051,f256(a1,a1)),f213(x46051)),x46053)))))),f7(a1))),f231(x46051,x46052,x46053)) % 194.45/194.25 [4635]~E(f324(f324(f151(x46351),x46352),x46353),x46353) % 194.45/194.25 [4642]~E(f324(f324(f151(x46421),x46422),x46423),f115(x46421)) % 194.45/194.25 [4656]~E(f324(f324(f306(x46561),x46562),x46563),f189(f928(x46561,a916))) % 194.45/194.25 [4678]~E(f324(f307(x46781,f928(x46781,a916),x46782),x46783),f324(f305(x46781),x46783)) % 194.45/194.25 [3506]E(f324(f324(f159(x35061,f115(x35061)),x35062),x35063),f115(x35061)) % 194.45/194.25 [3508]E(f324(f141(x35081),f324(f324(f151(x35081),x35082),x35083)),x35082) % 194.45/194.25 [3509]E(f324(f171(x35091),f324(f324(f151(x35091),x35092),x35093)),x35093) % 194.45/194.25 [3552]E(f324(f324(f138(x35521),f77(a920)),f324(f324(f151(x35521),x35522),x35523)),x35523) % 194.45/194.25 [3586]E(f116(x35861,f324(f324(f138(x35861),x35862),x35863)),f324(f324(f138(x35861),x35862),f116(x35861,x35863))) % 194.45/194.25 [3588]E(f324(f324(f159(x35881,x35882),x35883),f324(f324(f164(x35881),x35882),x35883)),x35882) % 194.45/194.25 [3609]E(f324(f324(f306(x36091),x36092),f324(f324(f306(x36091),x36092),x36093)),f324(f324(f306(x36091),x36092),x36093)) % 194.45/194.25 [3621]E(f324(f324(f306(x36211),x36212),f324(f172(x36211),x36213)),f324(f172(x36211),f324(f324(f151(x36211),x36212),x36213))) % 194.45/194.25 [3623]E(f324(f324(f138(x36231),x36232),f324(f171(x36231),x36233)),f324(f171(x36231),f324(f324(f138(x36231),x36232),x36233))) % 194.45/194.25 [3634]E(f324(f324(f175(x36341),f77(a920)),f324(f324(f151(x36341),x36342),x36343)),f324(f324(f151(x36341),x36342),f115(x36341))) % 194.45/194.25 [3679]E(f324(f63(x36791,x36792),f324(f324(f306(x36791),x36793),f189(f928(x36791,a916)))),x36793) % 194.45/194.25 [3721]E(f324(f324(f79(a920),x37211),f324(f324(f79(a920),x37212),x37213)),f324(f324(f79(a920),x37212),f324(f324(f79(a920),x37211),x37213))) % 194.45/194.25 [3722]E(f324(f324(f79(a1),x37221),f324(f324(f79(a1),x37222),x37223)),f324(f324(f79(a1),x37222),f324(f324(f79(a1),x37221),x37223))) % 194.45/194.25 [3727]E(f324(f324(f254(x37271,x37272),f189(f928(x37271,a916))),x37273),f189(f928(f927(x37271,x37272),a916))) % 194.45/194.25 [3752]E(f324(f324(f103(f928(x37521,a916)),x37522),x37523),f324(f324(f103(f928(x37521,a916)),x37523),x37522)) % 194.45/194.25 [3753]E(f324(f324(f112(f928(x37531,a916)),x37532),x37533),f324(f324(f112(f928(x37531,a916)),x37533),x37532)) % 194.45/194.25 [3755]E(f324(f324(f134(x37551),x37552),f324(f324(f151(x37551),x37553),f115(x37551))),f324(f167(x37551),f324(f324(f151(x37551),x37553),x37552))) % 194.45/194.25 [3756]E(f324(f324(f134(x37561),f324(f168(x37561),x37562)),f324(f168(x37561),x37563)),f324(f168(x37561),f324(f324(f134(x37561),x37563),x37562))) % 194.45/194.25 [3766]E(f324(f171(x37661),f324(f324(f175(x37661),f324(a114,x37662)),x37663)),f324(f324(f175(x37661),x37662),f324(f171(x37661),x37663))) % 194.45/194.25 [3774]P1(f324(f324(f326(x37741),x37742),f324(f324(f306(x37741),x37742),x37743))) % 194.45/194.25 [3778]E(f324(f324(f39(x37781,f928(x37782,a916)),f189(f928(x37781,a916))),x37783),f242(f928(x37782,a916))) % 194.45/194.25 [3781]E(f324(f283(x37811,x37811,f263(x37811,x37812)),x37813),f324(f324(f103(f928(x37811,a916)),x37812),x37813)) % 194.45/194.25 [3795]E(f324(f190(f921(x37951)),f324(f324(f151(x37951),x37952),x37953)),f324(f324(f79(a920),f324(f190(f921(x37951)),x37953)),f324(a114,f2(a920)))) % 194.45/194.25 [3799]E(f116(x37991,f324(f324(f134(x37991),x37992),f324(f324(f151(x37991),x37993),f115(x37991)))),x37992) % 194.45/194.25 [3800]E(f144(x38001,f324(f324(f134(x38001),x38002),f324(f324(f151(x38001),x38003),f115(x38001)))),x38003) % 194.45/194.25 [3809]E(f324(f324(f134(x38091),f324(f324(f175(x38091),x38092),x38093)),f324(f324(f138(x38091),x38092),x38093)),x38093) % 194.45/194.25 [3818]E(f324(f324(f3(a920),f324(f324(f79(a920),x38181),x38182)),f324(f324(f79(a920),x38183),x38182)),f324(f324(f3(a920),x38181),x38183)) % 194.45/194.25 [3819]E(f324(f324(f3(a920),f324(f324(f79(a920),x38191),x38192)),f324(f324(f79(a920),x38191),x38193)),f324(f324(f3(a920),x38192),x38193)) % 194.45/194.25 [3825]E(f324(f324(f134(x38251),f324(f168(x38251),x38252)),f324(f324(f151(x38251),x38253),f115(x38251))),f324(f168(x38251),f324(f324(f151(x38251),x38253),x38252))) % 194.45/194.25 [3827]E(f324(f324(f79(a920),f324(f190(f921(x38271)),x38272)),f324(f190(f921(x38271)),x38273)),f324(f190(f921(x38271)),f324(f324(f134(x38271),x38272),x38273))) % 194.45/194.25 [3830]E(f324(f324(f79(a920),f324(f190(f921(x38301)),x38302)),f324(f190(f921(x38301)),x38303)),f324(f190(f921(x38301)),f173(x38301,x38302,x38303))) % 194.45/194.25 [3837]E(f324(f324(f112(f928(x38371,a916)),f324(f172(x38371),x38372)),f324(f172(x38371),x38373)),f324(f172(x38371),f324(f324(f134(x38371),x38372),x38373))) % 194.45/194.25 [3838]E(f45(a920,f324(f324(f80(a920),x38381),x38382),f324(f324(f80(a920),x38381),x38383)),f324(f324(f80(a920),x38381),f45(a920,x38382,x38383))) % 194.45/194.25 [3850]E(f324(f324(f175(x38501),f324(f324(f3(a920),x38502),f77(a920))),f324(f171(x38501),x38503)),f324(f171(x38501),f324(f324(f175(x38501),x38502),x38503))) % 194.45/194.25 [3855]E(f324(f324(f103(f928(x38551,a916)),x38552),f324(f78(f928(x38551,a916)),x38553)),f324(f324(f3(f928(x38551,a916)),x38552),x38553)) % 194.45/194.25 [3856]E(f324(f324(f3(f928(x38561,a916)),x38562),f324(f78(f928(x38561,a916)),x38563)),f324(f324(f103(f928(x38561,a916)),x38562),x38563)) % 194.45/194.25 [3879]E(f324(f324(f254(x38791,x38792),x38793),f324(f18(f928(x38792,a916),x38791),f189(f928(x38792,a916)))),f189(f928(f927(x38791,x38792),a916))) % 194.45/194.25 [3881]E(f324(f324(f3(a920),f324(f324(f80(a920),x38811),x38812)),f324(f324(f80(a920),x38811),x38813)),f324(f324(f80(a920),x38811),f324(f324(f3(a920),x38812),x38813))) % 194.45/194.25 [3882]E(f324(f324(f79(a920),f324(f324(f80(a920),x38821),x38822)),f324(f324(f80(a920),x38821),x38823)),f324(f324(f80(a920),x38821),f324(f324(f79(a920),x38822),x38823))) % 194.45/194.25 [3883]E(f324(f324(f3(a1),f324(f324(f80(a1),x38831),x38832)),f324(f324(f80(a1),x38831),x38833)),f324(f324(f80(a1),x38831),f324(f324(f3(a1),x38832),x38833))) % 194.45/194.25 [3884]E(f324(f324(f79(a1),f324(f324(f80(a1),x38841),x38842)),f324(f324(f80(a1),x38841),x38843)),f324(f324(f80(a1),x38841),f324(f324(f79(a1),x38842),x38843))) % 194.45/194.25 [3885]E(f324(f324(f80(a1),f324(f324(f244(a1),x38851),x38852)),f324(f324(f244(a1),x38851),x38853)),f324(f324(f244(a1),x38851),f324(f324(f79(a920),x38852),x38853))) % 194.45/194.25 [3899]E(f324(f324(f40(x38991,f928(x38992,a916)),x38993),f324(f18(f928(x38992,a916),x38991),f189(f928(x38992,a916)))),f189(f928(x38992,a916))) % 194.45/194.25 [3901]E(f45(a920,f324(f324(f80(a920),x39011),x39012),f324(f324(f80(a920),x39013),x39012)),f324(f324(f80(a920),f45(a920,x39011,x39013)),x39012)) % 194.45/194.25 [3906]E(f45(a1,f324(f324(f3(a1),x39061),f45(a1,x39062,x39063)),x39063),f45(a1,f324(f324(f3(a1),x39061),x39062),x39063)) % 194.45/194.25 [3907]E(f45(a1,f324(f324(f80(a1),x39071),f45(a1,x39072,x39073)),x39073),f45(a1,f324(f324(f80(a1),x39071),x39072),x39073)) % 194.45/194.25 [3908]P1(f324(f324(f234(f928(x39081,a916)),x39082),f324(f324(f306(x39081),x39083),x39082))) % 194.45/194.25 [3985]E(f324(f324(f40(f928(x39851,a916),f928(x39851,a916)),x39852),f324(f103(f928(x39851,a916)),x39853)),f324(f324(f103(f928(x39851,a916)),x39853),f37(f928(x39851,a916),x39852))) % 194.45/194.25 [3986]E(f324(f324(f39(f928(x39861,a916),f928(x39861,a916)),x39862),f324(f112(f928(x39861,a916)),x39863)),f324(f324(f112(f928(x39861,a916)),x39863),f38(f928(x39861,a916),x39862))) % 194.45/194.25 [3997]E(f324(f172(x39971),f324(f324(f324(f183(f921(x39971),f921(x39971)),x39972),f167(x39971)),x39973)),f324(f172(x39971),x39973)) % 194.45/194.25 [4001]E(f324(f324(f175(x40011),f324(f190(f921(x40011)),f177(x40011,x40012,x40013))),x40013),f177(x40011,x40012,x40013)) % 194.45/194.25 [4005]E(f324(f190(f921(x40051)),f324(f324(f324(f183(f921(x40051),f921(x40051)),x40052),f167(x40051)),x40053)),f324(f190(f921(x40051)),x40053)) % 194.45/194.25 [4008]E(f324(f324(f257(x40081,x40082,x40082),f324(f18(f928(x40082,x40082),x40081),f7(x40082))),x40083),f324(f256(x40081,x40082),x40083)) % 194.45/194.25 [4015]E(f45(a1,f324(f324(f3(a1),f45(a1,x40151,x40152)),x40153),x40152),f45(a1,f324(f324(f3(a1),x40151),x40153),x40152)) % 194.45/194.25 [4016]E(f45(a1,f324(f324(f244(a1),f45(a1,x40161,x40162)),x40163),x40162),f45(a1,f324(f324(f244(a1),x40161),x40163),x40162)) % 194.45/194.25 [4019]E(f324(f324(f40(f928(f927(x40191,x40192),a916),f928(x40192,a916)),x40193),f282(x40191,x40192)),f324(f282(x40191,x40192),f37(f928(f927(x40191,x40192),a916),x40193))) % 194.45/194.25 [4020]E(f324(f324(f40(f928(f927(x40201,x40202),a916),f928(x40201,a916)),x40203),f264(x40201,x40202)),f324(f264(x40201,x40202),f37(f928(f927(x40201,x40202),a916),x40203))) % 194.45/194.25 [4044]E(f324(f72(x40441,x40441,x40441,x40442),f324(f324(f183(x40441,x40441),x40443),x40442)),f324(f324(f183(x40441,x40441),f324(a114,x40443)),x40442)) % 194.45/194.25 [4062]E(f324(f324(f138(x40621),f324(f324(f3(a920),f324(f190(f921(x40621)),x40622)),x40623)),f324(f168(x40621),x40622)),f324(f168(x40621),f324(f324(f175(x40621),x40623),x40622))) % 194.45/194.25 [4063]E(f324(f324(f175(x40631),f324(f324(f3(a920),f324(f190(f921(x40631)),x40632)),x40633)),f324(f168(x40631),x40632)),f324(f168(x40631),f324(f324(f138(x40631),x40633),x40632))) % 194.45/194.25 [4065]E(f324(f324(f79(a920),f324(f165(a920),f324(f324(f154(x40651,a920),x40652),x40653))),f324(f190(f921(x40651)),x40653)),f155(x40651,x40652,x40653)) % 194.45/194.25 [4084]E(f324(f167(x40841),f324(f324(f324(f183(f921(x40841),f921(x40841)),x40842),f167(x40841)),x40843)),f324(f324(f324(f183(f921(x40841),f921(x40841)),f324(a114,x40842)),f167(x40841)),x40843)) % 194.45/194.25 [4098]P1(f324(f324(f234(a920),f324(f190(f921(x40981)),f324(f136(x40981,x40982),x40983))),f324(f190(f921(x40981)),x40983))) % 194.45/194.25 [4114]E(f324(f324(f112(f928(f928(x41141,a916),a916)),f324(f305(x41141),x41142)),f324(f307(f928(x41141,a916),f928(x41141,a916),f324(f306(x41141),x41143)),f324(f305(x41141),x41142))),f324(f305(x41141),f324(f324(f306(x41141),x41143),x41142))) % 194.45/194.25 [4133]P11(x41331,x41332,f324(f324(f306(f919(x41331)),f324(f324(f324(f90(x41331),x41333),a25),x41333)),f189(f928(f919(x41331),a916)))) % 194.45/194.25 [4147]P1(f324(f324(f234(a920),f324(f190(f921(x41471)),f177(x41471,x41472,x41473))),f324(f190(f921(x41471)),x41473))) % 194.45/194.25 [4154]E(f324(f264(x41541,x41542),f324(f262(f927(x41541,x41542)),f324(f257(x41541,x41542,a916),x41543))),f324(f262(x41541),f324(f324(f10(f928(x41542,a916),a916,x41541),f86(x41542)),x41543))) % 194.45/194.25 [4166]E(f324(f307(a920,a920,f324(f324(f9(a920,a920,a920),f79(a920)),x41661)),f300(a920,x41662,x41663)),f300(a920,f324(f324(f79(a920),x41662),x41661),f324(f324(f79(a920),x41663),x41661))) % 194.45/194.25 [4180]E(f324(f307(a920,a920,f324(f324(f9(a920,a920,a920),f79(a920)),x41801)),f324(f299(a920,x41802),x41803)),f324(f299(a920,f324(f324(f79(a920),x41802),x41801)),f324(f324(f79(a920),x41803),x41801))) % 194.45/194.25 [4198]E(f324(f324(f181(x41981,x41982),f324(f324(f154(f927(x41981,x41982),x41981),f251(x41981,x41982)),x41983)),f324(f324(f154(f927(x41981,x41982),x41982),f256(x41981,x41982)),x41983)),x41983) % 194.45/194.25 [4203]E(f324(f324(f79(a920),f324(f324(f80(a920),x42031),f45(a920,f324(f324(f36(a920),x42032),x42031),x42033))),f45(a920,x42032,x42031)),f45(a920,x42032,f324(f324(f80(a920),x42031),x42033))) % 194.45/194.25 [4216]E(f324(f324(f134(x42161),x42162),f324(f142(f921(x42161),f921(x42161),f134(x42161),f115(x42161)),x42163)),f324(f142(f921(x42161),f921(x42161),f134(x42161),x42162),x42163)) % 194.45/194.25 [4237]P1(f324(f324(f326(f927(x42371,x42371)),f324(f324(f252(x42371,x42371),x42372),x42372)),f324(f324(f183(f927(x42371,x42371),a916),f2(a920)),x42373))) % 194.45/194.25 [4242]E(f324(f262(x42421),f324(f324(f10(f928(x42422,a916),a916,x42421),f86(x42422)),f324(f9(x42422,x42421,a916),x42423))),f324(f282(x42422,x42421),f324(f262(f927(x42422,x42421)),f324(f257(x42422,x42421,a916),x42423)))) % 194.45/194.25 [4259]E(f324(f324(f112(f928(x42591,a916)),f324(f324(f40(a920,f928(x42591,a916)),f300(a920,f77(a920),x42592)),x42593)),f324(x42593,f2(a920))),f324(f324(f40(a920,f928(x42591,a916)),f324(f298(a920),x42592)),x42593)) % 194.45/194.25 [4274]E(f324(f142(f921(x42741),f921(x42741),f134(x42741),f115(x42741)),f324(f324(f154(f921(x42741),f921(x42741)),f136(x42741,x42742)),x42743)),f324(f136(x42741,x42742),f324(f142(f921(x42741),f921(x42741),f134(x42741),f115(x42741)),x42743))) % 194.45/194.25 [4278]E(f324(f256(f921(x42781),f921(x42781)),f166(x42781,x42782,x42783)),f324(f136(x42781,f324(f72(a916,a916,x42781,a319),x42782)),x42783)) % 194.45/194.25 [4323]E(f324(f324(f79(a1),f324(f324(f79(a1),f324(f324(f80(a1),x43231),f324(f324(f36(a1),x43232),x43231))),f45(a1,x43232,x43231))),x43233),f324(f324(f79(a1),x43232),x43233)) % 194.45/194.25 [4360]E(f324(f324(f79(a1),f324(f324(f79(a1),f324(f324(f80(a1),f324(f324(f36(a1),x43601),x43602)),x43602)),f45(a1,x43601,x43602))),x43603),f324(f324(f79(a1),x43601),x43603)) % 194.45/194.25 [4386]E(f84(f927(x43861,x43862),f324(f257(x43861,x43862,a916),f324(f324(f10(f928(x43862,f927(x43861,x43862)),f928(x43862,a916),x43861),f324(f10(f927(x43861,x43862),a916,x43862),x43863)),f252(x43861,x43862)))),f84(f927(x43861,x43862),x43863)) % 194.45/194.25 [4387]E(f89(f927(x43871,x43872),f324(f257(x43871,x43872,a916),f324(f324(f10(f928(x43872,f927(x43871,x43872)),f928(x43872,a916),x43871),f324(f10(f927(x43871,x43872),a916,x43872),x43873)),f252(x43871,x43872)))),f89(f927(x43871,x43872),x43873)) % 194.45/194.25 [4414]P1(f324(f324(f234(f928(x44141,a916)),f37(f928(x44141,a916),f324(f324(f103(f928(f928(x44141,a916),a916)),x44142),x44143))),f324(f324(f103(f928(x44141,a916)),f37(f928(x44141,a916),x44142)),f37(f928(x44141,a916),x44143)))) % 194.45/194.25 [4415]E(f324(f168(x44151),f324(f324(f324(f183(f921(x44151),f921(x44151)),f324(f324(f3(a920),f324(f190(f921(x44151)),x44152)),f45(a920,x44153,f324(f190(f921(x44151)),x44152)))),f167(x44151)),x44152)),f324(f324(f324(f183(f921(x44151),f921(x44151)),x44153),f167(x44151)),f324(f168(x44151),x44152))) % 194.45/194.25 [4452]P1(f324(f324(f234(a920),f324(f190(f921(x44521)),f324(f324(f138(x44521),f324(f190(f921(x44521)),f177(x44521,x44522,x44523))),x44523))),f324(f190(f921(x44521)),x44523))) % 194.45/194.25 [4690]~P1(f324(f62(x46901,x46902,f189(f928(x46901,a916))),x46903)) % 194.45/194.25 [4695]~P1(f324(f324(f326(f927(x46951,x46951)),f324(f324(f252(x46951,x46951),x46952),x46953)),f153(x46951,f115(f928(x46951,a920))))) % 194.45/194.25 [3767]E(f324(f190(f921(x37671)),f324(f324(f175(x37671),x37672),x37673)),f324(f324(f188(a920),f324(f190(f921(x37671)),x37673)),x37672)) % 194.45/194.25 [3768]E(f324(f190(f921(x37681)),f324(f324(f138(x37681),x37682),x37683)),f324(f324(f3(a920),f324(f190(f921(x37681)),x37683)),x37682)) % 194.45/194.25 [3794]E(f324(f190(f921(f921(x37941))),f55(x37941,x37942,x37943)),f324(f324(f244(a920),f324(f190(f921(x37941)),x37943)),x37942)) % 194.45/194.25 [3811]E(f324(f324(f36(a920),f324(f324(f36(a920),x38111),x38112)),x38113),f324(f324(f36(a920),x38111),f324(f324(f80(a920),x38112),x38113))) % 194.45/194.25 [3812]E(f324(f324(f3(a920),f324(f324(f3(a920),x38121),x38122)),x38123),f324(f324(f3(a920),x38121),f324(f324(f79(a920),x38122),x38123))) % 194.45/194.25 [3813]E(f324(f324(f80(a920),f324(f324(f80(a920),x38131),x38132)),x38133),f324(f324(f80(a920),x38131),f324(f324(f80(a920),x38132),x38133))) % 194.45/194.25 [3814]E(f324(f324(f80(a1),f324(f324(f80(a1),x38141),x38142)),x38143),f324(f324(f80(a1),x38141),f324(f324(f80(a1),x38142),x38143))) % 194.45/194.25 [3815]E(f324(f324(f79(a920),f324(f324(f79(a920),x38151),x38152)),x38153),f324(f324(f79(a920),x38151),f324(f324(f79(a920),x38152),x38153))) % 194.45/194.25 [3816]E(f324(f324(f79(a1),f324(f324(f79(a1),x38161),x38162)),x38163),f324(f324(f79(a1),x38161),f324(f324(f79(a1),x38162),x38163))) % 194.45/194.25 [3817]E(f324(f324(f244(a1),f324(f324(f244(a1),x38171),x38172)),x38173),f324(f324(f244(a1),x38171),f324(f324(f80(a920),x38172),x38173))) % 194.45/194.25 [3836]E(f162(x38361,f324(f324(f151(f928(x38361,a916)),x38362),x38363)),f174(x38361,x38362,f162(x38361,x38363))) % 194.45/194.25 [3880]E(f324(f324(f3(a920),f324(f324(f3(a920),x38801),x38802)),x38803),f324(f324(f3(a920),f324(f324(f3(a920),x38801),x38803)),x38802)) % 194.45/194.25 [3888]E(f324(f324(f103(f928(x38881,a916)),x38882),f324(f324(f3(f928(x38881,a916)),x38883),x38882)),f189(f928(x38881,a916))) % 194.45/194.25 [3892]E(f324(f324(f154(a920,x38921),f324(f18(x38921,a920),x38922)),f139(a920,f324(f299(a920,f2(a920)),x38923))),f169(x38921,x38923,x38922)) % 194.45/194.25 [3930]E(f37(f928(x39301,a916),f324(f324(f306(f928(x39301,a916)),x39302),x39303)),f324(f324(f112(f928(x39301,a916)),x39302),f37(f928(x39301,a916),x39303))) % 194.45/194.25 [3931]E(f38(f928(x39311,a916),f324(f324(f306(f928(x39311,a916)),x39312),x39313)),f324(f324(f103(f928(x39311,a916)),x39312),f38(f928(x39311,a916),x39313))) % 194.45/194.25 [3933]E(f169(x39331,f324(f190(f921(x39331)),f324(f136(x39331,f324(a321,x39332)),x39333)),x39332),f324(f136(x39331,f324(a321,x39332)),x39333)) % 194.45/194.25 [3935]E(f324(f324(f3(a920),f324(f324(f80(a920),x39351),x39352)),f324(f324(f80(a920),x39353),x39352)),f324(f324(f80(a920),f324(f324(f3(a920),x39351),x39353)),x39352)) % 194.45/194.25 [3936]E(f324(f324(f79(a920),f324(f324(f80(a920),x39361),x39362)),f324(f324(f80(a920),x39363),x39362)),f324(f324(f80(a920),f324(f324(f79(a920),x39361),x39363)),x39362)) % 194.45/194.25 [3937]E(f324(f324(f3(a1),f324(f324(f80(a1),x39371),x39372)),f324(f324(f80(a1),x39373),x39372)),f324(f324(f80(a1),f324(f324(f3(a1),x39371),x39373)),x39372)) % 194.45/194.25 [3938]E(f324(f324(f79(a1),f324(f324(f80(a1),x39381),x39382)),f324(f324(f80(a1),x39383),x39382)),f324(f324(f80(a1),f324(f324(f79(a1),x39381),x39383)),x39382)) % 194.45/194.25 [3940]E(f324(f324(f188(a920),f324(f324(f3(a920),x39401),x39402)),f324(f324(f3(a920),x39403),x39402)),f324(f324(f3(a920),f324(f324(f188(a920),x39401),x39403)),x39402)) % 194.45/194.25 [3962]E(f324(f324(f103(f928(f921(x39621),a916)),f160(x39621,x39622)),f160(x39621,x39623)),f160(x39621,f324(f324(f103(f928(x39621,a916)),x39622),x39623))) % 194.45/194.25 [3965]E(f324(f324(f103(f928(x39651,a916)),x39652),f324(f324(f103(f928(x39651,a916)),x39652),x39653)),f324(f324(f103(f928(x39651,a916)),x39652),x39653)) % 194.45/194.25 [3966]E(f324(f324(f112(f928(x39661,a916)),x39662),f324(f324(f3(f928(x39661,a916)),x39663),x39662)),f324(f324(f112(f928(x39661,a916)),x39662),x39663)) % 194.45/194.25 [3967]E(f324(f324(f112(f928(x39671,a916)),x39672),f324(f324(f112(f928(x39671,a916)),x39672),x39673)),f324(f324(f112(f928(x39671,a916)),x39672),x39673)) % 194.45/194.25 [3979]E(f324(f324(f286(x39791,x39792,x39792),x39793),f304(x39792,f189(f928(f927(x39792,x39792),a916)))),x39793) % 194.45/194.25 [3982]E(f324(f324(f112(f928(x39821,a916)),f324(f324(f306(x39821),x39822),f189(f928(x39821,a916)))),x39823),f324(f324(f306(x39821),x39822),x39823)) % 194.45/194.25 [4000]E(f324(f324(f3(a920),f324(f324(f3(a920),f324(a114,x40001)),x40002)),f324(a114,x40003)),f324(f324(f3(a920),f324(f324(f3(a920),x40001),x40002)),x40003)) % 194.45/194.25 [4028]E(f324(f324(f103(f928(f928(x40281,a916),a916)),f324(f305(x40281),x40282)),f324(f305(x40281),x40283)),f324(f305(x40281),f324(f324(f103(f928(x40281,a916)),x40282),x40283))) % 194.45/194.25 [4031]E(f324(f324(f112(f928(x40311,a916)),f324(f78(f928(x40311,a916)),x40312)),x40313),f324(f78(f928(x40311,a916)),f324(f324(f3(f928(x40311,a916)),x40312),x40313))) % 194.45/194.25 [4041]E(f324(f324(f306(x40411),x40412),f324(f324(f3(f928(x40411,a916)),x40413),f324(f324(f306(x40411),x40412),f189(f928(x40411,a916))))),f324(f324(f306(x40411),x40412),x40413)) % 194.45/194.25 [4051]P1(f324(f324(f234(f928(x40511,a916)),x40512),f324(f324(f112(f928(x40511,a916)),x40513),x40512))) % 194.45/194.25 [4052]P1(f324(f324(f234(f928(x40521,a916)),x40522),f324(f324(f112(f928(x40521,a916)),x40522),x40523))) % 194.45/194.25 [4056]E(f324(f324(f112(f928(x40561,a916)),f324(f78(f928(x40561,a916)),x40562)),f324(f78(f928(x40561,a916)),x40563)),f324(f78(f928(x40561,a916)),f324(f324(f103(f928(x40561,a916)),x40562),x40563))) % 194.45/194.25 [4057]E(f324(f324(f103(f928(x40571,a916)),f324(f78(f928(x40571,a916)),x40572)),f324(f78(f928(x40571,a916)),x40573)),f324(f78(f928(x40571,a916)),f324(f324(f112(f928(x40571,a916)),x40572),x40573))) % 194.45/194.25 [4070]P1(f324(f324(f234(f928(x40701,a916)),f324(f172(x40701),x40702)),f324(f172(x40701),f324(f324(f151(x40701),x40703),x40702)))) % 194.45/194.25 [4082]E(f324(f324(f112(f928(x40821,a916)),f324(f324(f3(f928(x40821,a916)),x40822),x40823)),f324(f324(f103(f928(x40821,a916)),x40822),x40823)),x40822) % 194.45/194.25 [4134]E(f324(f324(f8(x41341,a1),f324(f324(f10(a920,a1,x41341),f102(a1)),x41342)),x41343),f324(f102(a1),f324(f324(f8(x41341,a920),x41342),x41343))) % 194.45/194.25 [4135]E(f324(f324(f11(x41351,a1),f324(f324(f10(a920,a1,x41351),f102(a1)),x41352)),x41353),f324(f102(a1),f324(f324(f11(x41351,a920),x41352),x41353))) % 194.45/194.25 [4182]E(f324(f324(f134(x41821),f177(x41821,x41822,x41823)),f324(f324(f138(x41821),f324(f190(f921(x41821)),f177(x41821,x41822,x41823))),x41823)),x41823) % 194.45/194.25 [4186]E(f324(f78(f928(f927(x41861,x41862),a916)),f324(f324(f254(x41861,x41862),x41863),f324(f18(f928(x41862,a916),x41861),f242(f928(x41862,a916))))),f324(f324(f254(x41861,x41862),f324(f78(f928(x41861,a916)),x41863)),f324(f18(f928(x41862,a916),x41861),f242(f928(x41862,a916))))) % 194.45/194.25 [4187]E(f324(f78(f928(f927(x41871,x41872),a916)),f324(f324(f254(x41871,x41872),f242(f928(x41871,a916))),f324(f18(f928(x41872,a916),x41871),x41873))),f324(f324(f254(x41871,x41872),f242(f928(x41871,a916))),f324(f18(f928(x41872,a916),x41871),f324(f78(f928(x41872,a916)),x41873)))) % 194.45/194.25 [4238]E(f324(f324(f40(f928(x42381,a916),f928(x42381,a916)),x42382),f324(f324(f9(f928(x42381,a916),f928(x42381,a916),f928(x42381,a916)),f103(f928(x42381,a916))),x42383)),f324(f324(f103(f928(x42381,a916)),f37(f928(x42381,a916),x42382)),x42383)) % 194.45/194.25 [4244]E(f324(f142(f921(x42441),f921(x42441),f134(x42441),f115(x42441)),f324(f324(f151(f921(x42441)),x42442),x42443)),f324(f324(f134(x42441),x42442),f324(f142(f921(x42441),f921(x42441),f134(x42441),f115(x42441)),x42443))) % 194.45/194.25 [4265]E(f324(f324(f306(f928(x42651,a916)),f324(f283(x42651,x42651,x42652),f324(f324(f306(x42651),x42653),f189(f928(x42651,a916))))),f189(f928(f928(x42651,a916),a916))),f324(f324(f60(x42651),f324(f324(f306(x42651),x42653),f189(f928(x42651,a916)))),x42652)) % 194.45/194.25 [4275]E(f324(f324(f79(a920),f324(f324(f80(a920),x42751),f324(f324(f36(a920),x42752),x42753))),f324(f324(f36(a920),f324(f324(f80(a920),x42751),f45(a920,x42752,x42753))),x42753)),f324(f324(f36(a920),f324(f324(f80(a920),x42751),x42752)),x42753)) % 194.45/194.25 [4276]E(f324(f324(f79(a1),f324(f324(f80(a1),x42761),f324(f324(f36(a1),x42762),x42763))),f324(f324(f36(a1),f324(f324(f80(a1),x42761),f45(a1,x42762,x42763))),x42763)),f324(f324(f36(a1),f324(f324(f80(a1),x42761),x42762)),x42763)) % 194.45/194.25 [4308]E(f324(f324(f3(f928(x43081,a916)),f324(f172(x43081),x43082)),f324(f324(f306(x43081),x43083),f189(f928(x43081,a916)))),f324(f172(x43081),f324(f136(x43081,f324(f324(f10(a916,a916,x43081),a319),f324(a321,x43083))),x43082))) % 194.45/194.25 [4358]E(f324(f324(f134(x43581),f324(f142(f921(x43581),f921(x43581),f134(x43581),f115(x43581)),x43582)),f324(f142(f921(x43581),f921(x43581),f134(x43581),f115(x43581)),x43583)),f324(f142(f921(x43581),f921(x43581),f134(x43581),f115(x43581)),f324(f324(f134(f921(x43581)),x43582),x43583))) % 194.45/194.25 [4361]E(f324(f324(f252(f921(x43611),f921(x43611)),f324(f136(x43611,x43612),x43613)),f324(f136(x43611,f324(f72(a916,a916,x43611,a319),x43612)),x43613)),f166(x43611,x43612,x43613)) % 194.45/194.25 [4364]E(f324(f324(f79(a920),f324(f324(f79(a920),f324(f324(f36(a920),x43641),x43642)),f324(f324(f36(a920),x43643),x43642))),f324(f324(f36(a920),f324(f324(f79(a920),f45(a920,x43641,x43642)),f45(a920,x43643,x43642))),x43642)),f324(f324(f36(a920),f324(f324(f79(a920),x43641),x43643)),x43642)) % 194.45/194.25 [4365]E(f324(f324(f79(a1),f324(f324(f79(a1),f324(f324(f36(a1),x43651),x43652)),f324(f324(f36(a1),x43653),x43652))),f324(f324(f36(a1),f324(f324(f79(a1),f45(a1,x43651,x43652)),f45(a1,x43653,x43652))),x43652)),f324(f324(f36(a1),f324(f324(f79(a1),x43651),x43653)),x43652)) % 194.45/194.25 [4418]E(f324(f324(f103(f928(f921(x44181),a916)),f324(f324(f9(f921(x44181),f928(f921(x44181),a916),a916),f326(f921(x44181))),f161(x44181,x44182))),f324(f324(f9(f921(x44181),f928(f921(x44181),a916),a916),f326(f921(x44181))),f161(x44181,x44183))),f160(x44181,f324(f324(f103(f928(x44181,a916)),f324(f324(f9(x44181,f928(x44181,a916),a916),f326(x44181)),x44182)),f324(f324(f9(x44181,f928(x44181,a916),a916),f326(x44181)),x44183)))) % 194.45/194.25 [4430]E(f324(f262(x44301),f324(f324(f20(x44301,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44301),a323),f324(f324(f9(x44301,x44301,a916),a321),x44302))),f324(f324(f9(x44301,f928(x44301,a916),a916),f326(x44301)),x44303))),f324(f324(f306(x44301),x44302),x44303)) % 194.45/194.25 [4450]E(f324(f324(f85(f921(f921(x44501)),f921(f921(x44501))),f54(x44501,x44502)),f324(f324(f20(f921(f921(x44501)),f921(f921(x44501)),f921(f921(x44501))),f324(f324(f10(f921(f921(x44501)),f928(f921(f921(x44501)),f921(f921(x44501))),f921(f921(x44501))),f134(f921(x44501))),f324(f154(f921(x44501),f921(x44501)),f324(f151(x44501),x44503)))),f7(f921(f921(x44501))))),f54(x44501,f324(f324(f151(x44501),x44503),x44502))) % 194.45/194.25 [4453]E(f324(f262(x44531),f324(f324(f20(x44531,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44531),a322),f324(f324(f9(x44531,f928(x44531,a916),a916),f326(x44531)),x44532))),f324(f324(f9(x44531,f928(x44531,a916),a916),f326(x44531)),x44533))),f324(f324(f103(f928(x44531,a916)),x44532),x44533)) % 194.45/194.25 [4454]E(f324(f262(x44541),f324(f324(f20(x44541,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44541),a323),f324(f324(f9(x44541,f928(x44541,a916),a916),f326(x44541)),x44542))),f324(f324(f9(x44541,f928(x44541,a916),a916),f326(x44541)),x44543))),f324(f324(f112(f928(x44541,a916)),x44542),x44543)) % 194.45/194.25 [4543]E(f324(f324(f40(x45431,f928(f928(x45431,a916),a916)),x45432),f324(f324(f9(x45431,f928(f928(x45431,a916),a916),f928(f928(x45431,a916),a916)),f324(f324(f10(f928(x45431,a916),f928(f928(f928(x45431,a916),a916),f928(f928(x45431,a916),a916)),x45431),f306(f928(x45431,a916))),f324(f324(f10(f928(x45431,a916),f928(x45431,a916),x45431),f283(x45431,x45431,x45433)),f324(f324(f9(x45431,f928(x45431,a916),f928(x45431,a916)),f306(x45431)),f189(f928(x45431,a916)))))),f189(f928(f928(x45431,a916),a916)))),f324(f324(f60(x45431),x45432),x45433)) % 194.45/194.25 [4545]E(f324(f324(f202(x45451),f324(f324(f80(a1),f324(f324(f72(f927(a1,a1),a1,x45451,f251(a1,a1)),f213(x45451)),x45452)),f324(f324(f72(f927(a1,a1),a1,x45451,f251(a1,a1)),f213(x45451)),x45453))),f324(f324(f80(a1),f324(f324(f72(f927(a1,a1),a1,x45451,f256(a1,a1)),f213(x45451)),x45452)),f324(f324(f72(f927(a1,a1),a1,x45451,f256(a1,a1)),f213(x45451)),x45453))),f229(x45451,x45452,x45453)) % 194.45/194.25 [4548]E(f324(f262(f921(x45481)),f324(f324(f20(f921(x45481),a916,a916),f324(f324(f10(a916,f928(a916,a916),f921(x45481)),a322),f324(f324(f9(f921(x45481),a920,a916),f324(f324(f10(a920,f928(a920,a916),f921(x45481)),a321),f190(f921(x45481)))),x45482))),f324(f324(f9(f921(x45481),f928(x45481,a916),a916),f324(f324(f10(f928(x45481,a916),f928(f928(x45481,a916),a916),f921(x45481)),f234(f928(x45481,a916))),f172(x45481))),f324(f172(x45481),x45483)))),f324(f172(f921(x45481)),f55(x45481,x45482,x45483))) % 194.45/194.25 [3953]E(f45(a920,f324(f324(f79(a920),f324(f324(f80(a920),x39531),x39532)),x39533),x39532),f45(a920,x39533,x39532)) % 194.45/194.25 [3999]E(f139(a920,f324(f299(a920,f324(f324(f79(a920),x39991),x39992)),x39993)),f324(f324(f138(a920),x39992),f139(a920,f324(f299(a920,x39991),x39993)))) % 194.45/194.25 [4040]E(f324(f324(f79(a1),f324(f102(a1),x40401)),f324(f324(f79(a1),f324(f102(a1),x40402)),x40403)),f324(f324(f79(a1),f324(f102(a1),f324(f324(f79(a920),x40401),x40402))),x40403)) % 194.45/194.25 [4047]E(f324(f324(f3(f928(x40471,a916)),f324(f324(f3(f928(x40471,a916)),x40472),x40473)),x40473),f324(f324(f3(f928(x40471,a916)),x40472),x40473)) % 194.45/194.25 [4048]E(f324(f324(f112(f928(x40481,a916)),f324(f324(f3(f928(x40481,a916)),x40482),x40483)),x40483),f324(f324(f112(f928(x40481,a916)),x40482),x40483)) % 194.45/194.25 [4071]E(f324(f324(f286(x40711,x40711,x40712),f304(x40711,f189(f928(f927(x40711,x40711),a916)))),x40713),x40713) % 194.45/194.25 [4079]E(f324(f324(f112(f928(x40791,a916)),f324(f279(x40791),x40792)),f324(f279(x40791),x40793)),f324(f279(x40791),f324(f324(f112(f928(f927(x40791,x40791),a916)),x40792),x40793))) % 194.45/194.25 [4089]E(f266(x40891,f324(f324(f151(f927(a101,x40891)),f324(f324(f252(a101,x40891),f2(a101)),x40892)),x40893)),f266(x40891,x40893)) % 194.45/194.25 [4091]E(f324(f324(f112(f928(x40911,a916)),f37(f928(x40911,a916),x40912)),f37(f928(x40911,a916),x40913)),f37(f928(x40911,a916),f324(f324(f112(f928(f928(x40911,a916),a916)),x40912),x40913))) % 194.45/194.25 [4092]E(f324(f324(f103(f928(x40921,a916)),f38(f928(x40921,a916),x40922)),f38(f928(x40921,a916),x40923)),f38(f928(x40921,a916),f324(f324(f112(f928(f928(x40921,a916),a916)),x40922),x40923))) % 194.45/194.25 [4129]E(f324(f324(f286(x41291,x41291,x41291),f324(f324(f183(f927(x41291,x41291),a916),x41292),x41293)),x41293),f324(f324(f183(f927(x41291,x41291),a916),f324(a114,x41292)),x41293)) % 194.45/194.25 [4174]P1(f324(f324(f234(f928(x41741,a916)),f324(f324(f3(f928(x41741,a916)),x41742),x41743)),x41742)) % 194.45/194.25 [4175]P1(f324(f324(f234(f928(x41751,a916)),f324(f324(f103(f928(x41751,a916)),x41752),x41753)),x41753)) % 194.45/194.25 [4176]P1(f324(f324(f234(f928(x41761,a916)),f324(f324(f103(f928(x41761,a916)),x41762),x41763)),x41762)) % 194.45/194.25 [4200]E(f304(x42001,f324(f324(f112(f928(f927(x42001,x42001),a916)),f304(x42001,x42002)),f304(x42001,x42003))),f304(x42001,f324(f324(f112(f928(f927(x42001,x42001),a916)),x42002),x42003))) % 194.45/194.25 [4204]E(f38(f928(x42041,a916),f324(f324(f306(f928(x42041,a916)),x42042),f324(f324(f306(f928(x42041,a916)),x42043),f189(f928(f928(x42041,a916),a916))))),f324(f324(f103(f928(x42041,a916)),x42042),x42043)) % 194.45/194.25 [4205]E(f37(f928(x42051,a916),f324(f324(f306(f928(x42051,a916)),x42052),f324(f324(f306(f928(x42051,a916)),x42053),f189(f928(f928(x42051,a916),a916))))),f324(f324(f112(f928(x42051,a916)),x42052),x42053)) % 194.45/194.25 [4210]E(f324(f324(f286(x42101,x42101,x42101),f324(f324(f183(f927(x42101,x42101),a916),x42102),x42103)),x42103),f324(f324(f286(x42101,x42101,x42101),x42103),f324(f324(f183(f927(x42101,x42101),a916),x42102),x42103))) % 194.45/194.25 [4279]E(f324(f324(f112(f928(x42791,a916)),f324(f262(x42791),f324(f324(f9(x42791,x42791,a916),a321),x42792))),x42793),f324(f324(f306(x42791),x42792),x42793)) % 194.45/194.25 [4281]E(f324(a106,f324(f324(f8(x42811,a1),f324(f324(f10(a920,a1,x42811),f102(a1)),x42812)),x42813)),f324(f324(f8(x42811,a920),x42812),x42813)) % 194.45/194.25 [4282]E(f324(a106,f324(f324(f11(x42821,a1),f324(f324(f10(a920,a1,x42821),f102(a1)),x42822)),x42823)),f324(f324(f11(x42821,a920),x42822),x42823)) % 194.45/194.25 [4355]E(f324(f156(f921(x43551),x43551,f324(f171(x43551),x43552),f324(f18(f928(f921(x43551),f921(x43551)),x43551),f324(f324(f9(f921(x43551),f921(x43551),f921(x43551)),f134(x43551)),x43552))),x43553),f324(f171(x43551),f324(f324(f134(x43551),x43553),x43552))) % 194.45/194.25 [4383]P1(f324(f324(f234(f928(f928(x43831,a916),a916)),f324(f324(f112(f928(f928(x43831,a916),a916)),f324(f305(x43831),x43832)),f324(f305(x43831),x43833))),f324(f305(x43831),f324(f324(f112(f928(x43831,a916)),x43832),x43833)))) % 194.45/194.25 [4472]E(f324(f262(x44721),f324(f324(f20(x44721,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44721),a322),f324(f324(f9(x44721,f928(x44721,a916),a916),f326(x44721)),x44722))),f324(f324(f10(a916,a916,x44721),a319),f324(f324(f9(x44721,f928(x44721,a916),a916),f326(x44721)),x44723)))),f324(f324(f3(f928(x44721,a916)),x44722),x44723)) % 194.45/194.25 [4496]E(f324(f35(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,a920,a916),f235(a920)),f324(f190(f921(x44961)),x44962)))),f324(f324(f10(x44961,a916,a920),x44963),f324(f164(x44961),x44962))))),f324(f190(f921(x44961)),f324(f136(x44961,x44963),x44962))) % 194.45/194.25 [4498]E(f324(f190(f921(x44981)),f176(x44981,x44982,x44983)),f324(f35(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,a920,a916),f235(a920)),f324(f190(f921(x44981)),x44982)))),f324(f324(f9(a920,f928(a920,a916),a916),f326(a920)),x44983))))) % 194.45/194.25 [4594]E(f324(f324(f103(f928(f927(f921(x45941),f921(x45941)),a916)),f324(f307(f927(f927(x45941,f921(x45941)),f927(x45941,f921(x45941))),f927(f921(x45941),f921(x45941)),f258(f927(x45941,f921(x45941)),f921(x45941),f927(x45941,f921(x45941)),f921(x45941),f324(f257(x45941,f921(x45941),f921(x45941)),f151(x45941)),f324(f257(x45941,f921(x45941),f921(x45941)),f151(x45941)))),f317(x45941,f921(x45941),x45942,f324(f143(x45941,x45942),x45943)))),f324(f262(f927(f921(x45941),f921(x45941))),f324(f257(f921(x45941),f921(x45941),a916),f324(f324(f9(f921(x45941),f928(f921(x45941),a916),f928(f921(x45941),a916)),f324(f324(f10(f928(a916,a916),f928(f928(f921(x45941),a916),f928(f921(x45941),a916)),f921(x45941)),f10(a916,a916,f921(x45941))),f324(f324(f10(a916,f928(a916,a916),f921(x45941)),a322),f324(f324(f9(f921(x45941),a920,a916),f324(f324(f10(a920,f928(a920,a916),f921(x45941)),a321),f190(f921(x45941)))),f324(a114,x45943))))),f324(f324(f9(f921(x45941),a920,a916),f324(f324(f10(a920,f928(a920,a916),f921(x45941)),a321),f190(f921(x45941)))),f324(a114,x45943)))))),f324(f143(x45941,x45942),f324(a114,x45943))) % 194.45/194.25 [4093]E(f45(a920,f324(a114,f324(f324(f79(a920),f324(f324(f80(a920),x40931),x40932)),x40933)),x40932),f45(a920,f324(a114,x40933),x40932)) % 194.45/194.25 [4341]E(f324(f262(x43411),f324(f324(f20(x43411,a916,a916),f324(f324(f10(a916,f928(a916,a916),x43411),a322),x43412)),x43413)),f324(f324(f103(f928(x43411,a916)),f324(f262(x43411),x43412)),f324(f262(x43411),x43413))) % 194.45/194.25 [4342]E(f324(f262(x43421),f324(f324(f20(x43421,a916,a916),f324(f324(f10(a916,f928(a916,a916),x43421),a323),x43422)),x43423)),f324(f324(f112(f928(x43421,a916)),f324(f262(x43421),x43422)),f324(f262(x43421),x43423))) % 194.45/194.25 [4344]E(f324(f324(f134(x43441),f324(f324(f138(x43441),f45(a920,x43442,f324(f190(f921(x43441)),x43443))),x43443)),f324(f324(f175(x43441),f45(a920,x43442,f324(f190(f921(x43441)),x43443))),x43443)),f324(f324(f324(f183(f921(x43441),f921(x43441)),x43442),f167(x43441)),x43443)) % 194.45/194.25 [4350]E(f324(f262(x43501),f324(f324(f20(x43501,a916,a916),f324(f324(f10(a916,f928(a916,a916),x43501),a327),x43502)),x43503)),f324(f324(f112(f928(x43501,a916)),f324(f78(f928(x43501,a916)),f324(f262(x43501),x43502))),f324(f262(x43501),x43503))) % 194.45/194.25 [4366]E(f324(f324(f79(a920),f324(f190(f921(x43661)),f324(f136(x43661,x43662),x43663))),f324(f190(f921(x43661)),f324(f136(x43661,f324(f324(f10(a916,a916,x43661),a319),x43662)),x43663))),f324(f190(f921(x43661)),x43663)) % 194.45/194.25 [4389]P1(f324(f324(f234(f928(x43891,a916)),f324(f324(f112(f928(x43891,a916)),f38(f928(x43891,a916),x43892)),f38(f928(x43891,a916),x43893))),f38(f928(x43891,a916),f324(f324(f103(f928(f928(x43891,a916),a916)),x43892),x43893)))) % 194.45/194.25 [4403]E(f324(f172(x44031),f324(f136(x44031,f324(f324(f10(a916,a916,x44031),a319),f324(f324(f9(x44031,x44031,a916),a321),x44032))),x44033)),f324(f324(f3(f928(x44031,a916)),f324(f172(x44031),x44033)),f324(f324(f306(x44031),x44032),f189(f928(x44031,a916))))) % 194.45/194.25 [4412]P1(f324(f324(f234(f928(f927(x44121,x44121),a916)),f324(f324(f112(f928(f927(x44121,x44121),a916)),f304(x44121,x44122)),f304(x44121,x44123))),f304(x44121,f324(f324(f112(f928(f927(x44121,x44121),a916)),x44122),x44123)))) % 194.45/194.25 [4435]E(f324(f324(f80(a920),f324(a114,f324(a114,f2(a920)))),f324(f324(f8(a920,a920),f324(f324(f10(a920,a920,a920),f324(f79(a920),x44351)),f324(f324(f9(a920,a920,a920),f80(a920)),x44352))),f324(f280(a920),x44353))),f324(f324(f80(a920),x44353),f324(f324(f79(a920),x44351),f324(f324(f79(a920),x44351),f324(f324(f80(a920),f324(f324(f3(a920),x44353),f77(a920))),x44352))))) % 194.45/194.25 [4445]E(f324(f262(x44451),f324(f324(f20(x44451,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44451),a322),f324(f324(f9(x44451,f928(x44451,a916),a916),f326(x44451)),f324(f172(x44451),x44452)))),x44453)),f324(f172(x44451),f324(f136(x44451,x44453),x44452))) % 194.45/194.25 [4593]E(f324(f262(x45931),f324(f324(f10(f928(a920,a916),a916,x45931),f86(a920)),f324(f324(f9(x45931,f928(a920,a916),f928(a920,a916)),f324(f324(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),x45931),f20(a920,a916,a916)),f324(f324(f10(f928(a920,a916),f928(a920,f928(a916,a916)),x45931),f324(f10(a916,f928(a916,a916),a920),a322)),f324(f324(f9(x45931,f928(a920,x45931),f928(a920,a916)),f324(f324(f10(f928(x45931,a916),f928(f928(a920,x45931),f928(a920,a916)),x45931),f10(x45931,a916,a920)),a321)),f324(f164(x45931),x45932))))),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,a920,a916),f235(a920)),f324(f190(f921(x45931)),x45932)))),f324(f324(f9(a920,f928(a920,a916),a916),f326(a920)),x45933))))),f324(f172(x45931),f176(x45931,x45932,x45933))) % 194.45/194.25 [4485]E(f324(f262(x44851),f324(f324(f20(x44851,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44851),a327),f324(f324(f10(a916,a916,x44851),a319),f324(f324(f9(x44851,x44851,a916),a321),x44852)))),x44853)),f324(f324(f306(x44851),x44852),f324(f262(x44851),x44853))) % 194.45/194.25 [4517]E(f324(f324(f154(f927(x45171,a920),x45171),f251(x45171,a920)),f324(f136(f927(x45171,a920),f324(f324(f9(f927(x45171,a920),f928(a920,a916),a916),f324(f324(f10(a920,f928(f928(a920,a916),a916),f927(x45171,a920)),f326(a920)),f256(x45171,a920))),x45172)),f324(f324(f181(x45171,a920),x45173),f139(a920,f324(f299(a920,f2(a920)),f324(f190(f921(x45171)),x45173)))))),f176(x45171,x45173,x45172)) % 194.45/194.25 [4544]E(f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f8(a920,a1),f324(f324(f10(a1,a1,a920),f324(f79(a1),x45441)),f324(f324(f9(a920,a1,a1),f324(f324(f10(a1,f928(a1,a1),a920),f80(a1)),f102(a1))),x45442))),f324(f280(a920),x45443))),f324(f324(f80(a1),f324(f102(a1),x45443)),f324(f324(f79(a1),x45441),f324(f324(f79(a1),x45441),f324(f324(f80(a1),f324(f102(a1),f324(f324(f3(a920),x45443),f77(a920)))),x45442))))) % 194.45/194.25 [4586]E(f324(f262(f927(x45861,x45862)),f324(f257(x45861,x45862,a916),f324(f324(f9(x45861,f928(f927(x45862,x45861),a916),f928(x45862,a916)),f324(f324(f10(f928(x45862,f928(f928(f927(x45862,x45861),a916),a916)),f928(f928(f927(x45862,x45861),a916),f928(x45862,a916)),x45861),f9(x45862,f928(f927(x45862,x45861),a916),a916)),f324(f324(f10(f928(x45862,f927(x45862,x45861)),f928(x45862,f928(f928(f927(x45862,x45861),a916),a916)),x45861),f324(f10(f927(x45862,x45861),f928(f928(f927(x45862,x45861),a916),a916),x45862),f326(f927(x45862,x45861)))),f324(f9(x45862,x45861,f927(x45862,x45861)),f252(x45862,x45861))))),x45863))),f324(f284(x45862,x45861),x45863)) % 194.45/194.25 [4607]E(f324(f262(f921(x46071)),f324(f324(f10(f928(x46071,a916),a916,f921(x46071)),f86(x46071)),f324(f324(f10(f928(x46071,f928(f921(x46071),a916)),f928(x46071,a916),f921(x46071)),f324(f10(f928(f921(x46071),a916),a916,x46071),f86(f921(x46071)))),f324(f324(f9(f921(x46071),f928(x46071,f928(f921(x46071),a916)),f928(x46071,f928(f921(x46071),a916))),f324(f324(f10(f928(x46071,f928(f928(f921(x46071),a916),f928(f921(x46071),a916))),f928(f928(x46071,f928(f921(x46071),a916)),f928(x46071,f928(f921(x46071),a916))),f921(x46071)),f20(x46071,f928(f921(x46071),a916),f928(f921(x46071),a916))),f324(f324(f10(f928(x46071,f928(f921(x46071),f928(a916,a916))),f928(x46071,f928(f928(f921(x46071),a916),f928(f921(x46071),a916))),f921(x46071)),f324(f10(f928(f921(x46071),f928(a916,a916)),f928(f928(f921(x46071),a916),f928(f921(x46071),a916)),x46071),f20(f921(x46071),a916,a916))),f324(f324(f10(f928(x46071,f928(f921(x46071),a916)),f928(x46071,f928(f921(x46071),f928(a916,a916))),f921(x46071)),f324(f10(f928(f921(x46071),a916),f928(f921(x46071),f928(a916,a916)),x46071),f324(f10(a916,f928(a916,a916),f921(x46071)),a322))),f324(f324(f9(f921(x46071),f928(x46071,f928(f921(x46071),f921(x46071))),f928(x46071,f928(f921(x46071),a916))),f324(f324(f10(f928(f928(f921(x46071),f921(x46071)),f928(f921(x46071),a916)),f928(f928(x46071,f928(f921(x46071),f921(x46071))),f928(x46071,f928(f921(x46071),a916))),f921(x46071)),f10(f928(f921(x46071),f921(x46071)),f928(f921(x46071),a916),x46071)),f324(f324(f10(f928(f921(x46071),a916),f928(f928(f921(x46071),f921(x46071)),f928(f921(x46071),a916)),f921(x46071)),f10(f921(x46071),a916,f921(x46071))),a321))),f151(x46071)))))),f324(f324(f9(x46071,f928(f921(x46071),a916),f928(f921(x46071),a916)),f324(f324(f10(f928(a916,a916),f928(f928(f921(x46071),a916),f928(f921(x46071),a916)),x46071),f10(a916,a916,f921(x46071))),f324(f324(f10(a916,f928(a916,a916),x46071),a322),f324(f324(f9(x46071,f928(x46071,a916),a916),f326(x46071)),x46072)))),f324(f324(f9(f921(x46071),f928(f921(x46071),a916),a916),f326(f921(x46071))),x46073)))))),f174(x46071,x46072,x46073)) % 194.45/194.25 [4604]E(f324(f324(f85(a1,f927(a1,a1)),f324(f324(f3(a1),x46041),x46042)),f324(f324(f9(a1,f927(a1,a1),f927(a1,a1)),f324(f324(f20(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f324(f324(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f324(f234(a1),f2(a1)))),f324(f252(a1,a1),f324(f324(f79(a1),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x46043)),f77(a1))))),f324(f324(f252(a1,a1),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x46043)),x46041))),f324(f43(x46042),f324(f324(f252(a1,a1),x46043),x46041))) % 194.45/194.25 [4627]~E(f29(x46271,x46272),f30(x46273,x46274)) % 194.45/194.25 [3650]E(f118(x36501,f324(x36502,x36503),f324(x36504,x36503)),f324(f204(x36501,x36502,x36504),x36503)) % 194.45/194.25 [3704]E(f324(f324(f245(x37041,x37042,x37043),x37044),f2(a920)),x37042) % 194.45/194.25 [3744]E(f185(x37441,x37442,x37443,f324(a114,x37444)),f324(x37443,x37444)) % 194.45/194.25 [3786]E(f170(x37861,x37862,f170(x37861,x37863,x37864)),f170(x37861,x37863,f170(x37861,x37862,x37864))) % 194.45/194.25 [3787]E(f127(x37871,x37872,f118(x37871,x37873,x37874)),f118(x37871,f127(x37871,x37872,x37873),x37874)) % 194.45/194.25 [3921]E(f324(f156(x39211,x39212,x39213,x39214),f115(x39212)),x39213) % 194.45/194.25 [3922]E(f324(f142(x39221,x39222,x39223,x39224),f115(x39222)),x39224) % 194.45/194.25 [3959]E(f324(f190(f925(x39591,x39592)),f221(x39591,x39592,x39593,x39594)),f2(a920)) % 194.45/194.25 [3984]E(f324(f257(x39841,x39842,x39843),f255(x39841,x39842,x39843,x39844)),x39844) % 194.45/194.25 [4027]E(f324(f324(f134(x40271),f169(x40271,x40272,x40273)),f169(x40271,x40274,x40273)),f324(f324(f134(x40271),f169(x40271,x40274,x40273)),f169(x40271,x40272,x40273))) % 194.45/194.25 [4112]E(f324(f324(f259(x41121,x41122,x41123,f927(x41122,x41123)),x41124),f252(x41122,x41123)),x41124) % 194.45/194.25 [4122]E(f128(x41221,x41222,x41223,x41224,f121(x41222)),x41223) % 194.45/194.25 [4128]E(f74(x41281,x41282,x41283,x41284,f324(x41283,x41284)),x41283) % 194.45/194.25 [4396]P42(x43961,x43962,x43963,x43964,f189(f928(x43961,a916)),x43964) % 194.45/194.25 [3454]E(f324(f324(f18(x34541,x34542),x34543),x34544),x34543) % 194.45/194.25 [3734]E(f170(x37341,x37342,f324(f136(x37341,x37343),x37344)),f324(f136(x37341,x37343),f170(x37341,x37342,x37344))) % 194.45/194.25 [3769]E(f324(f324(f64(x37691,x37692,x37693),x37694),f189(f928(x37691,a916))),x37694) % 194.45/194.25 [3793]E(f324(f324(f164(x37931),f324(f324(f151(x37931),x37932),x37933)),f324(a114,x37934)),f324(f324(f164(x37931),x37933),x37934)) % 194.45/194.25 [3860]E(f324(f324(x38601,x38602),f324(f184(x38603,x38604,x38601),x38602)),f324(f184(x38603,x38604,x38601),f324(a114,x38602))) % 194.45/194.25 [3902]E(f255(x39021,x39022,x39023,f324(f257(x39021,x39022,x39023),x39024)),x39024) % 194.45/194.25 [3957]E(f324(f324(f159(x39571,f324(f324(f151(x39571),x39572),x39573)),f2(a920)),x39574),f324(f324(f151(x39571),x39574),x39573)) % 194.45/194.25 [3969]E(f324(f324(f40(f928(x39691,a916),f928(x39692,a916)),x39693),f307(x39691,x39692,x39694)),f324(f307(x39691,x39692,x39694),f37(f928(x39691,a916),x39693))) % 194.45/194.25 [3970]E(f324(f324(f40(f928(x39701,a916),f928(x39702,a916)),x39703),f308(x39702,x39701,x39704)),f324(f308(x39702,x39701,x39704),f37(f928(x39701,a916),x39703))) % 194.45/194.25 [4068]E(f324(f126(x40681,x40682),f127(x40681,x40683,x40684)),f324(f324(f79(a920),f324(f324(f79(a920),f324(x40682,x40683)),f324(f126(x40681,x40682),x40684))),f324(a114,f2(a920)))) % 194.45/194.25 [4088]E(f324(f142(x40881,x40882,f324(f9(x40882,x40881,x40881),x40883),x40884),f324(f168(x40882),f115(x40882))),x40884) % 194.45/194.25 [4194]E(f224(x41941,f927(x41942,f922(x41942)),x41943,f324(f257(x41942,f922(x41942),x41941),x41944),f324(f135(x41942),f121(x41942))),x41943) % 194.45/194.25 [4326]E(f324(f257(x43261,x43262,x43263),f324(f324(f10(f928(x43262,f927(x43261,x43262)),f928(x43262,x43263),x43261),f324(f10(f927(x43261,x43262),x43263,x43262),x43264)),f252(x43261,x43262))),x43264) % 194.45/194.25 [3641]E(f324(f256(x36411,x36412),f324(f324(f252(x36411,x36412),x36413),x36414)),x36414) % 194.45/194.25 [3642]E(f324(f251(x36421,x36422),f324(f324(f252(x36421,x36422),x36423),x36424)),x36423) % 194.45/194.25 [3677]E(f324(f190(f921(x36771)),f324(f324(f159(x36771,x36772),x36773),x36774)),f324(f190(f921(x36771)),x36772)) % 194.45/194.25 [3678]E(f324(f190(f921(x36781)),f324(f324(f154(x36782,x36781),x36783),x36784)),f324(f190(f921(x36782)),x36784)) % 194.45/194.25 [3699]E(f324(f324(f138(x36991),f324(a114,x36992)),f324(f324(f151(x36991),x36993),x36994)),f324(f324(f138(x36991),x36992),x36994)) % 194.45/194.25 [3764]E(f324(f324(f175(x37641),x37642),f169(x37641,x37643,x37644)),f169(x37641,f324(f324(f188(a920),x37642),x37643),x37644)) % 194.45/194.25 [3765]E(f324(f324(f138(x37651),x37652),f169(x37651,x37653,x37654)),f169(x37651,f324(f324(f3(a920),x37653),x37652),x37654)) % 194.45/194.25 [3771]E(f324(f324(f306(x37711),x37712),f324(f324(f306(x37711),x37713),x37714)),f324(f324(f306(x37711),x37713),f324(f324(f306(x37711),x37712),x37714))) % 194.45/194.25 [3775]E(f324(f324(f154(x37751,x37752),x37753),f116(x37751,x37754)),f116(x37752,f324(f324(f154(x37751,x37752),x37753),x37754))) % 194.45/194.25 [3791]E(f324(f168(x37911),f324(f324(f154(x37912,x37911),x37913),x37914)),f324(f324(f154(x37912,x37911),x37913),f324(f168(x37912),x37914))) % 194.45/194.25 [3792]E(f324(f324(f154(x37921,x37922),x37923),f324(f171(x37921),x37924)),f324(f171(x37922),f324(f324(f154(x37921,x37922),x37923),x37924))) % 194.45/194.25 [3806]E(f324(f324(f175(x38061),f324(a114,x38062)),f324(f324(f151(x38061),x38063),x38064)),f324(f324(f151(x38061),x38063),f324(f324(f175(x38061),x38062),x38064))) % 194.45/194.25 [3810]E(f324(f172(x38101),f324(f324(f154(x38102,x38101),x38103),x38104)),f324(f307(x38102,x38101,x38103),f324(f172(x38102),x38104))) % 194.45/194.25 [3823]E(f324(f324(f154(x38231,x38232),f324(f18(x38232,x38231),x38233)),x38234),f169(x38232,f324(f190(f921(x38231)),x38234),x38233)) % 194.45/194.25 [3859]E(f19(x38591,x38592,x38593,f324(a5,f324(a114,f324(a22,x38594)))),f324(x38593,x38594)) % 194.45/194.25 [3863]E(f324(f324(f134(x38631),f324(f136(x38631,x38632),x38633)),f324(f136(x38631,x38632),x38634)),f324(f136(x38631,x38632),f324(f324(f134(x38631),x38633),x38634))) % 194.45/194.25 [3876]E(f152(x38761,f324(f324(f154(x38762,x38761),x38763),f152(x38762,x38764))),f152(x38761,f324(f324(f154(x38762,x38761),x38763),x38764))) % 194.45/194.25 [3891]E(f324(f284(x38911,x38911),f324(f324(f285(x38912,x38911),x38913),x38914)),f324(f324(f285(x38912,x38911),f324(f284(x38912,x38912),x38913)),x38914)) % 194.45/194.25 [3903]E(f324(f324(f286(x39031,x39032,x39033),x39034),f189(f928(f927(x39032,x39033),a916))),f189(f928(f927(x39031,x39033),a916))) % 194.45/194.25 [3904]E(f324(f324(f175(x39041),f324(f324(f3(a920),x39042),x39043)),f324(f324(f138(x39041),x39043),x39044)),f324(f324(f138(x39041),x39043),f324(f324(f175(x39041),x39042),x39044))) % 194.45/194.25 [3923]E(f324(f324(f134(x39231),f169(x39231,x39232,x39233)),f169(x39231,x39234,x39233)),f169(x39231,f324(f324(f79(a920),x39232),x39234),x39233)) % 194.45/194.25 [3924]E(f324(f324(f324(f276(x39241),x39242),x39243),x39244),f324(f252(f928(a101,f928(a916,f924(f922(x39241)))),f927(a101,a101)),f324(f42(x39241),x39242))) % 194.45/194.25 [3950]E(f37(f928(x39501,a916),f324(f307(x39502,f928(x39501,a916),x39503),x39504)),f324(f324(f40(x39502,f928(x39501,a916)),x39504),x39503)) % 194.45/194.25 [3951]E(f38(f928(x39511,a916),f324(f307(x39512,f928(x39511,a916),x39513),x39514)),f324(f324(f39(x39512,f928(x39511,a916)),x39514),x39513)) % 194.45/194.25 [3952]E(f324(f190(f921(f927(x39521,x39522))),f324(f324(f181(x39521,x39522),x39523),x39524)),f324(f324(f188(a920),f324(f190(f921(x39521)),x39523)),f324(f190(f921(x39522)),x39524))) % 194.45/194.25 [3954]E(f324(f308(x39541,x39542,x39543),f324(f78(f928(x39542,a916)),x39544)),f324(f78(f928(x39541,a916)),f324(f308(x39541,x39542,x39543),x39544))) % 194.45/194.25 [4004]E(f324(f308(x40041,x40042,x40043),f324(f262(x40042),x40044)),f324(f262(x40041),f324(f324(f10(x40042,a916,x40041),x40044),x40043))) % 194.45/194.25 [4022]E(f324(f324(f164(x40221),f324(f324(f134(x40221),x40222),f324(f324(f151(x40221),x40223),x40224))),f324(f190(f921(x40221)),x40222)),x40223) % 194.45/194.25 [4045]E(f324(f307(x40451,x40452,x40453),f324(f308(x40451,x40452,x40453),x40454)),f324(f324(f103(f928(x40452,a916)),x40454),f324(f307(x40451,x40452,x40453),f242(f928(x40451,a916))))) % 194.45/194.25 [4064]P1(f324(f324(f326(x40641),f324(x40642,x40643)),f324(f307(x40644,x40641,x40642),f242(f928(x40644,a916))))) % 194.45/194.25 [4072]E(f21(x40721,x40722,x40723,f324(a5,f324(a114,f324(a22,x40724)))),f324(f324(x40723,x40724),f21(x40721,x40722,x40723,x40724))) % 194.45/194.25 [4076]E(f324(f324(f134(x40761),f169(x40761,x40762,x40763)),f324(f324(f151(x40761),x40763),x40764)),f324(f324(f151(x40761),x40763),f324(f324(f134(x40761),f169(x40761,x40762,x40763)),x40764))) % 194.45/194.25 [4078]E(f324(f324(f254(x40781,x40782),f324(f172(x40781),x40783)),f324(f18(f928(x40782,a916),x40781),f324(f172(x40782),x40784))),f324(f172(f927(x40781,x40782)),f59(x40781,x40782,x40783,x40784))) % 194.45/194.25 [4090]E(f155(x40901,x40902,f324(f324(f151(x40901),x40903),x40904)),f324(f324(f79(a920),f324(f324(f79(a920),f324(x40902,x40903)),f155(x40901,x40902,x40904))),f324(a114,f2(a920)))) % 194.45/194.25 [4103]E(f185(f921(x41031),f324(f324(f151(x41031),x41032),x41033),f324(f324(f9(a920,f921(x41031),f921(x41031)),f138(x41031)),x41033),x41034),f324(f324(f138(x41031),x41034),f324(f324(f151(x41031),x41032),x41033))) % 194.45/194.25 [4104]P22(x41041,f927(x41042,x41041),f328(x41043,x41044,x41042,x41041),f324(f324(f40(x41042,f928(x41041,a916)),x41044),x41043)) % 194.45/194.25 [4113]E(f324(f324(f3(f928(x41131,a916)),f324(f324(f3(f928(x41131,a916)),x41132),x41133)),f324(f324(f306(x41131),x41134),f189(f928(x41131,a916)))),f324(f324(f3(f928(x41131,a916)),x41132),f324(f324(f306(x41131),x41134),x41133))) % 194.45/194.25 [4126]E(f324(f324(f183(f928(x41261,x41262),f928(x41261,x41262)),x41263),f72(x41262,x41262,x41261,x41264)),f72(x41262,x41262,x41261,f324(f324(f183(x41262,x41262),x41263),x41264))) % 194.45/194.25 [4199]E(f324(f324(f324(f183(f921(x41991),f921(x41991)),x41992),f167(x41991)),f324(f324(f324(f183(f921(x41991),f921(x41991)),x41993),f167(x41991)),x41994)),f324(f324(f324(f183(f921(x41991),f921(x41991)),f324(f324(f79(a920),x41992),x41993)),f167(x41991)),x41994)) % 194.45/194.25 [4284]P1(f324(f324(f234(f928(x42841,a916)),f324(f172(x42841),f324(f324(f159(x42841,x42842),x42843),x42844))),f324(f324(f306(x42841),x42844),f324(f172(x42841),x42842)))) % 194.45/194.25 [4316]E(f324(f324(f40(f928(x43161,a916),f928(f927(x43161,x43162),a916)),x43163),f324(f324(f9(f928(x43161,a916),f928(x43161,f928(x43162,a916)),f928(f927(x43161,x43162),a916)),f254(x43161,x43162)),x43164)),f324(f324(f254(x43161,x43162),f37(f928(x43161,a916),x43163)),x43164)) % 194.45/194.25 [4354]E(f210(x43541,x43542,x43543,f324(f72(x43542,f928(a101,f928(a101,f928(f927(a101,a101),f928(a101,f922(x43542))))),x43541,f209(x43542)),x43544)),f211(x43541,x43542,x43544,x43543)) % 194.45/194.25 [4369]E(f206(x43691,x43692,x43693,f324(f72(x43692,f928(a101,f928(a101,f928(f927(a101,a101),f928(a101,f922(f924(x43692)))))),x43691,f205(x43692)),x43694)),f207(x43691,x43692,x43694,x43693)) % 194.45/194.25 [4374]P1(f324(f66(x43741,x43742,x43743,x43744,f189(f928(x43741,a916))),x43744)) % 194.45/194.25 [4413]E(f324(f324(f40(x44131,f928(x44132,a916)),x44133),f324(f324(f9(x44131,f928(x44132,a916),f928(x44132,a916)),f324(f324(f10(x44132,f928(f928(x44132,a916),f928(x44132,a916)),x44131),f306(x44132)),x44134)),f189(f928(x44132,a916)))),f324(f307(x44131,x44132,x44134),x44133)) % 194.45/194.25 [4420]P1(f324(f324(f234(f928(x44201,a916)),f324(f282(x44202,x44201),f324(f324(f103(f928(f927(x44202,x44201),a916)),x44203),x44204))),f324(f324(f103(f928(x44201,a916)),f324(f282(x44202,x44201),x44203)),f324(f282(x44202,x44201),x44204)))) % 194.45/194.25 [4421]P1(f324(f324(f234(f928(x44211,a916)),f324(f264(x44211,x44212),f324(f324(f103(f928(f927(x44211,x44212),a916)),x44213),x44214))),f324(f324(f103(f928(x44211,a916)),f324(f264(x44211,x44212),x44213)),f324(f264(x44211,x44212),x44214)))) % 194.45/194.25 [4481]P1(f324(f324(f234(f928(f927(x44811,x44812),a916)),f324(f307(x44812,f927(x44811,x44812),f328(x44813,x44814,x44811,x44812)),f324(f324(f40(x44811,f928(x44812,a916)),x44814),x44813))),f324(f324(f254(x44811,x44812),x44814),x44813))) % 194.45/194.25 [4482]E(f324(f120(x44821,f927(x44821,x44822),x44823),f324(f324(f10(f928(x44822,f922(f927(x44821,x44822))),f922(f927(x44821,x44822)),x44821),f120(x44822,f927(x44821,x44822),x44824)),f324(f324(f10(f928(x44822,f927(x44821,x44822)),f928(x44822,f922(f927(x44821,x44822))),x44821),f324(f10(f927(x44821,x44822),f922(f927(x44821,x44822)),x44822),f130(f927(x44821,x44822)))),f252(x44821,x44822)))),f131(x44821,x44822,x44823,x44824)) % 194.45/194.25 [4483]E(f274(x44831,x44832,x44833,f324(f72(x44832,f928(a101,f928(a101,f928(f927(a101,a101),f927(f928(a101,f928(a916,f924(f922(x44832)))),f927(a101,a101))))),x44831,f276(x44832)),x44834)),f277(x44831,x44832,x44834,x44833)) % 194.45/194.25 [4523]E(f84(f927(x45231,x45232),f324(f257(x45231,x45232,a916),f324(f324(f9(x45231,f928(x45232,a916),f928(x45232,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x45232,a916),f928(x45232,a916)),x45231),f10(a916,a916,x45232)),f324(f324(f10(a916,f928(a916,a916),x45231),a322),f324(a321,x45233)))),f324(a321,x45234)))),f324(f324(f252(x45231,x45232),x45233),x45234)) % 194.45/194.25 [4524]E(f89(f927(x45241,x45242),f324(f257(x45241,x45242,a916),f324(f324(f9(x45241,f928(x45242,a916),f928(x45242,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x45242,a916),f928(x45242,a916)),x45241),f10(a916,a916,x45242)),f324(f324(f10(a916,f928(a916,a916),x45241),a322),f324(a321,x45243)))),f324(a321,x45244)))),f324(f324(f252(x45241,x45242),x45243),x45244)) % 194.45/194.25 [4595]E(f324(f324(f257(f921(x45951),f921(x45951),f927(f921(x45951),f921(x45951))),f324(f324(f20(f921(x45951),f928(f921(x45951),f927(f921(x45951),f921(x45951))),f928(f921(x45951),f927(f921(x45951),f921(x45951)))),f324(f324(f10(f928(f921(x45951),f928(f927(f921(x45951),f921(x45951)),f927(f921(x45951),f921(x45951)))),f928(f928(f921(x45951),f927(f921(x45951),f921(x45951))),f928(f921(x45951),f927(f921(x45951),f921(x45951)))),f921(x45951)),f20(f921(x45951),f927(f921(x45951),f921(x45951)),f927(f921(x45951),f921(x45951)))),f324(f324(f10(f928(f921(x45951),f927(f921(x45951),f921(x45951))),f928(f921(x45951),f928(f927(f921(x45951),f921(x45951)),f927(f921(x45951),f921(x45951)))),f921(x45951)),f324(f10(f927(f921(x45951),f921(x45951)),f928(f927(f921(x45951),f921(x45951)),f927(f921(x45951),f921(x45951))),f921(x45951)),f324(f96(f927(f921(x45951),f921(x45951))),f324(x45952,x45953)))),f324(f324(f10(f921(x45951),f928(f921(x45951),f927(f921(x45951),f921(x45951))),f921(x45951)),f252(f921(x45951),f921(x45951))),f324(f151(x45951),x45953))))),f324(f324(f9(f921(x45951),f928(f921(x45951),f921(x45951)),f928(f921(x45951),f927(f921(x45951),f921(x45951)))),f324(f324(f10(f928(f921(x45951),f927(f921(x45951),f921(x45951))),f928(f928(f921(x45951),f921(x45951)),f928(f921(x45951),f927(f921(x45951),f921(x45951)))),f921(x45951)),f10(f921(x45951),f927(f921(x45951),f921(x45951)),f921(x45951))),f252(f921(x45951),f921(x45951)))),f324(f151(x45951),x45953)))),f166(x45951,x45952,x45954)),f166(x45951,x45952,f324(f324(f151(x45951),x45953),x45954))) % 194.45/194.25 [3716]E(f324(f190(f919(x37161)),f324(f324(f324(f90(x37161),x37162),x37163),x37164)),f2(a920)) % 194.45/194.25 [3839]E(f324(f324(f175(x38391),x38392),f324(f324(f175(x38391),x38393),x38394)),f324(f324(f175(x38391),f324(f324(f188(a920),x38392),x38393)),x38394)) % 194.45/194.25 [3840]E(f324(f324(f138(x38401),x38402),f324(f324(f138(x38401),x38403),x38404)),f324(f324(f138(x38401),f324(f324(f79(a920),x38402),x38403)),x38404)) % 194.45/194.25 [3851]E(f324(f324(f134(x38511),f324(f324(f151(x38511),x38512),x38513)),x38514),f324(f324(f151(x38511),x38512),f324(f324(f134(x38511),x38513),x38514))) % 194.45/194.25 [3852]E(f324(f324(f134(x38521),f324(f324(f134(x38521),x38522),x38523)),x38524),f324(f324(f134(x38521),x38522),f324(f324(f134(x38521),x38523),x38524))) % 194.45/194.25 [3934]E(f324(f324(f164(x39341),f324(f324(f151(x39341),x39342),x39343)),x39344),f185(x39341,x39342,f324(f164(x39341),x39343),x39344)) % 194.45/194.25 [3943]E(f324(f324(f183(x39431,x39431),x39432),f324(f324(f183(x39431,x39431),x39433),x39434)),f324(f324(f183(x39431,x39431),f324(f324(f80(a920),x39433),x39432)),x39434)) % 194.45/194.25 [3972]E(f324(f324(f112(f928(x39721,a916)),x39722),f324(f324(f306(x39721),x39723),x39724)),f324(f324(f306(x39721),x39723),f324(f324(f112(f928(x39721,a916)),x39722),x39724))) % 194.45/194.25 [3987]E(f324(f324(f324(f183(x39871,x39871),x39872),x39873),f324(x39873,x39874)),f324(x39873,f324(f324(f324(f183(x39871,x39871),x39872),x39873),x39874))) % 194.45/194.25 [3995]E(f324(f324(f286(x39951,x39952,x39953),f189(f928(f927(x39951,x39952),a916))),x39954),f189(f928(f927(x39951,x39953),a916))) % 194.45/194.25 [4010]E(f324(f324(f112(f928(x40101,a916)),f324(f324(f306(x40101),x40102),x40103)),x40104),f324(f324(f306(x40101),x40102),f324(f324(f112(f928(x40101,a916)),x40103),x40104))) % 194.45/194.25 [4029]E(f324(f35(f927(x40291,x40292)),f324(f324(f254(x40291,x40292),x40293),f324(f18(f928(x40292,a916),x40291),x40294))),f324(f324(f80(a920),f324(f35(x40291),x40293)),f324(f35(x40292),x40294))) % 194.45/194.25 [4036]E(f324(f324(f103(f928(x40361,a916)),f324(f324(f306(x40361),x40362),x40363)),f324(f324(f306(x40361),x40362),x40364)),f324(f324(f306(x40361),x40362),f324(f324(f103(f928(x40361,a916)),x40363),x40364))) % 194.45/194.25 [4049]E(f324(f324(f103(f928(x40491,a916)),x40492),f324(f324(f103(f928(x40491,a916)),x40493),x40494)),f324(f324(f103(f928(x40491,a916)),x40493),f324(f324(f103(f928(x40491,a916)),x40492),x40494))) % 194.45/194.25 [4050]E(f324(f324(f112(f928(x40501,a916)),x40502),f324(f324(f112(f928(x40501,a916)),x40503),x40504)),f324(f324(f112(f928(x40501,a916)),x40503),f324(f324(f112(f928(x40501,a916)),x40502),x40504))) % 194.45/194.25 [4060]E(f64(x40601,x40602,f324(f324(f10(x40602,f928(x40602,x40602),x40601),x40603),x40604)),f324(f65(x40602,x40601,x40603),x40604)) % 194.45/194.25 [4069]E(f179(x40691,f324(f324(f154(f921(x40692),f921(x40691)),f324(f154(x40692,x40691),x40693)),x40694)),f324(f324(f154(f921(x40692),f921(x40691)),f324(f154(x40692,x40691),x40693)),f179(x40692,x40694))) % 194.45/194.25 [4087]E(f324(f142(f921(x40871),f921(x40871),f134(x40871),f115(x40871)),f324(f324(f154(x40872,f921(x40871)),x40873),x40874)),f163(x40872,x40871,x40873,x40874)) % 194.45/194.25 [4146]E(f324(f72(x41461,x41461,x41461,f324(f324(f183(x41461,x41461),x41462),x41463)),f324(f324(f183(x41461,x41461),x41464),x41463)),f324(f324(f183(x41461,x41461),f324(f324(f79(a920),x41462),x41464)),x41463)) % 194.45/194.25 [4169]E(f324(f324(f112(f928(x41691,a916)),f324(f324(f3(f928(x41691,a916)),x41692),x41693)),f324(f324(f3(f928(x41691,a916)),x41692),x41694)),f324(f324(f3(f928(x41691,a916)),x41692),f324(f324(f103(f928(x41691,a916)),x41693),x41694))) % 194.45/194.25 [4170]E(f324(f324(f103(f928(x41701,a916)),f324(f324(f3(f928(x41701,a916)),x41702),x41703)),f324(f324(f3(f928(x41701,a916)),x41702),x41704)),f324(f324(f3(f928(x41701,a916)),x41702),f324(f324(f112(f928(x41701,a916)),x41703),x41704))) % 194.45/194.25 [4171]E(f324(f324(f3(f928(x41711,a916)),f324(f324(f103(f928(x41711,a916)),x41712),x41713)),f324(f324(f103(f928(x41711,a916)),x41712),x41714)),f324(f324(f103(f928(x41711,a916)),x41712),f324(f324(f3(f928(x41711,a916)),x41713),x41714))) % 194.45/194.25 [4172]E(f324(f324(f112(f928(x41721,a916)),f324(f324(f103(f928(x41721,a916)),x41722),x41723)),f324(f324(f103(f928(x41721,a916)),x41722),x41724)),f324(f324(f103(f928(x41721,a916)),x41722),f324(f324(f112(f928(x41721,a916)),x41723),x41724))) % 194.45/194.25 [4173]E(f324(f324(f103(f928(x41731,a916)),f324(f324(f112(f928(x41731,a916)),x41732),x41733)),f324(f324(f112(f928(x41731,a916)),x41732),x41734)),f324(f324(f112(f928(x41731,a916)),x41732),f324(f324(f103(f928(x41731,a916)),x41733),x41734))) % 194.45/194.25 [4178]E(f324(f35(f927(x41781,x41782)),f324(f324(f254(x41781,x41782),f324(f324(f306(x41781),x41783),f189(f928(x41781,a916)))),f324(f18(f928(x41782,a916),x41781),x41784))),f324(f35(x41782),x41784)) % 194.45/194.25 [4213]E(f324(f324(f40(x42131,f928(x42132,a916)),x42133),f324(f324(f10(f928(x42132,a916),f928(x42132,a916),x42131),f78(f928(x42132,a916))),x42134)),f324(f78(f928(x42132,a916)),f324(f324(f39(x42131,f928(x42132,a916)),x42133),x42134))) % 194.45/194.25 [4214]E(f324(f324(f39(x42141,f928(x42142,a916)),x42143),f324(f324(f10(f928(x42142,a916),f928(x42142,a916),x42141),f78(f928(x42142,a916))),x42144)),f324(f78(f928(x42142,a916)),f324(f324(f40(x42141,f928(x42142,a916)),x42143),x42144))) % 194.45/194.25 [4230]E(f324(f324(f286(x42301,x42301,x42301),f324(f324(f183(f927(x42301,x42301),a916),x42302),x42303)),f324(f324(f183(f927(x42301,x42301),a916),x42304),x42303)),f324(f324(f183(f927(x42301,x42301),a916),f324(f324(f79(a920),x42302),x42304)),x42303)) % 194.45/194.25 [4260]E(f324(f324(f39(x42601,f928(f928(x42602,a916),a916)),x42603),f324(f324(f10(f928(x42602,a916),f928(f928(x42602,a916),a916),x42601),f305(x42602)),x42604)),f324(f305(x42602),f324(f324(f39(x42601,f928(x42602,a916)),x42603),x42604))) % 194.45/194.25 [4289]E(f324(f324(f39(f928(x42891,a916),f928(x42892,a916)),x42893),f324(f324(f9(f928(x42891,a916),f928(x42891,f928(x42892,a916)),f928(x42892,a916)),f39(x42891,f928(x42892,a916))),x42894)),f324(f324(f39(x42891,f928(x42892,a916)),f37(f928(x42891,a916),x42893)),x42894)) % 194.45/194.25 [4290]E(f324(f324(f40(f928(x42901,a916),f928(x42902,a916)),x42903),f324(f324(f9(f928(x42901,a916),f928(x42901,f928(x42902,a916)),f928(x42902,a916)),f40(x42901,f928(x42902,a916))),x42904)),f324(f324(f40(x42901,f928(x42902,a916)),f37(f928(x42901,a916),x42903)),x42904)) % 194.45/194.25 [4295]E(f324(f324(f154(x42951,x42952),x42953),f324(f142(f921(x42951),f921(x42951),f134(x42951),f115(x42951)),x42954)),f324(f142(f921(x42952),f921(x42952),f134(x42952),f115(x42952)),f324(f324(f154(f921(x42951),f921(x42952)),f324(f154(x42951,x42952),x42953)),x42954))) % 194.45/194.25 [4297]E(f185(f921(x42971),f115(x42971),f324(f324(f10(f921(x42971),f921(x42971),a920),f324(f151(x42971),x42972)),f324(f324(f9(a920,f921(x42971),f921(x42971)),f175(x42971)),x42973)),x42974),f324(f324(f175(x42971),x42974),f324(f324(f151(x42971),x42972),x42973))) % 194.45/194.25 [4335]P1(f324(f324(f234(f928(x43351,a916)),f324(f307(x43352,x43351,x43353),f324(f308(x43352,x43351,x43353),x43354))),x43354)) % 194.45/194.25 [4337]E(f324(f307(f927(x43371,x43372),f927(x43372,x43371),f324(f257(x43371,x43372,f927(x43372,x43371)),f324(f9(x43372,x43371,f927(x43372,x43371)),f252(x43372,x43371)))),f324(f324(f254(x43371,x43372),x43373),f324(f18(f928(x43372,a916),x43371),x43374))),f324(f324(f254(x43372,x43371),x43374),f324(f18(f928(x43371,a916),x43372),x43373))) % 194.45/194.25 [4346]E(f324(f324(f40(x43461,f928(x43462,a916)),x43463),f324(f324(f10(f928(x43461,a916),f928(x43462,a916),x43461),f283(x43461,x43462,x43464)),f324(f324(f9(x43461,f928(x43461,a916),f928(x43461,a916)),f306(x43461)),f189(f928(x43461,a916))))),f324(f283(x43461,x43462,x43464),x43463)) % 194.45/194.25 [4347]E(f324(f324(f40(x43471,f928(x43472,a916)),x43473),f324(f324(f10(f928(x43471,a916),f928(x43472,a916),x43471),f308(x43472,x43471,x43474)),f324(f324(f9(x43471,f928(x43471,a916),f928(x43471,a916)),f306(x43471)),f189(f928(x43471,a916))))),f324(f308(x43472,x43471,x43474),x43473)) % 194.45/194.25 [4434]E(f324(f324(f112(f928(x44341,a916)),f324(f324(f112(f928(x44341,a916)),f324(f324(f103(f928(x44341,a916)),x44342),x44343)),f324(f324(f103(f928(x44341,a916)),x44343),x44344))),f324(f324(f103(f928(x44341,a916)),x44344),x44342)),f324(f324(f103(f928(x44341,a916)),f324(f324(f103(f928(x44341,a916)),f324(f324(f112(f928(x44341,a916)),x44342),x44343)),f324(f324(f112(f928(x44341,a916)),x44343),x44344))),f324(f324(f112(f928(x44341,a916)),x44344),x44342))) % 194.45/194.25 [4497]E(f324(f142(f921(x44971),f921(x44971),f134(x44971),f115(x44971)),f324(f324(f154(x44972,f921(x44971)),f324(f324(f9(x44972,f921(x44971),f921(x44971)),f324(f324(f10(x44971,f928(f921(x44971),f921(x44971)),x44972),f151(x44971)),x44973)),f115(x44971))),x44974)),f324(f324(f154(x44972,x44971),x44973),x44974)) % 194.45/194.25 [4507]E(f324(f324(f85(a1,x45071),f324(f105(a1),f324(f324(f79(a1),x45072),a99))),f324(f324(f20(a1,x45071,x45071),f324(f324(f9(a1,x45071,f928(x45071,x45071)),f324(f324(f10(a916,f928(x45071,f928(x45071,x45071)),a1),f96(x45071)),a194)),x45073)),f324(f324(f10(a920,x45071,a1),x45074),a106))),f185(x45071,x45073,x45074,f324(f105(a920),x45072))) % 194.45/194.25 [4538]E(f324(f262(x45381),f324(f324(f10(f928(x45382,a916),a916,x45381),f86(x45382)),f324(f324(f10(f928(x45382,a916),f928(x45382,a916),x45381),f324(f20(x45382,a916,a916),f324(f324(f10(a916,f928(a916,a916),x45382),a322),f324(f324(f9(x45382,f928(x45382,a916),a916),f326(x45382)),x45383)))),f324(f9(x45382,x45381,a916),x45384)))),f324(f283(x45382,x45381,f324(f262(f927(x45382,x45381)),f324(f257(x45382,x45381,a916),x45384))),x45383)) % 194.45/194.25 [4694]~P1(f324(f324(f189(f928(x46941,f928(x46942,a916))),x46943),x46944)) % 194.45/194.25 [3998]E(f324(f324(f164(x39981),f324(f324(f134(x39981),x39982),x39983)),f324(f324(f79(a920),f324(f190(f921(x39981)),x39982)),x39984)),f324(f324(f164(x39981),x39983),x39984)) % 194.45/194.25 [4003]E(f324(f324(f138(x40031),x40032),f324(f324(f175(x40031),f324(f324(f79(a920),x40033),x40032)),x40034)),f324(f324(f175(x40031),x40033),f324(f324(f138(x40031),x40032),x40034))) % 194.45/194.25 [4101]E(f324(f324(f112(f928(x41011,a916)),f324(f282(x41012,x41011),x41013)),f324(f282(x41012,x41011),x41014)),f324(f282(x41012,x41011),f324(f324(f112(f928(f927(x41012,x41011),a916)),x41013),x41014))) % 194.45/194.25 [4102]E(f324(f324(f112(f928(x41021,a916)),f324(f264(x41021,x41022),x41023)),f324(f264(x41021,x41022),x41024)),f324(f264(x41021,x41022),f324(f324(f112(f928(f927(x41021,x41022),a916)),x41023),x41024))) % 194.45/194.25 [4107]E(f324(f324(f3(f928(x41071,a916)),f324(f324(f103(f928(x41071,a916)),x41072),x41073)),x41074),f324(f324(f103(f928(x41071,a916)),x41072),f324(f324(f3(f928(x41071,a916)),x41073),x41074))) % 194.45/194.25 [4108]E(f324(f324(f103(f928(x41081,a916)),f324(f324(f103(f928(x41081,a916)),x41082),x41083)),x41084),f324(f324(f103(f928(x41081,a916)),x41082),f324(f324(f103(f928(x41081,a916)),x41083),x41084))) % 194.45/194.25 [4109]E(f324(f324(f112(f928(x41091,a916)),f324(f324(f112(f928(x41091,a916)),x41092),x41093)),x41094),f324(f324(f112(f928(x41091,a916)),x41092),f324(f324(f112(f928(x41091,a916)),x41093),x41094))) % 194.45/194.25 [4148]E(f324(f324(f103(f928(f927(x41481,x41482),a916)),f324(f284(x41482,x41481),x41483)),f324(f284(x41482,x41481),x41484)),f324(f284(x41482,x41481),f324(f324(f103(f928(f927(x41482,x41481),a916)),x41483),x41484))) % 194.45/194.25 [4149]E(f324(f324(f112(f928(f927(x41491,x41492),a916)),f324(f284(x41492,x41491),x41493)),f324(f284(x41492,x41491),x41494)),f324(f284(x41492,x41491),f324(f324(f112(f928(f927(x41492,x41491),a916)),x41493),x41494))) % 194.45/194.25 [4162]E(f324(f324(f103(f928(x41621,f928(x41622,a916))),f243(x41622,x41621,x41623)),f243(x41622,x41621,x41624)),f243(x41622,x41621,f324(f324(f103(f928(x41622,f928(x41621,a916))),x41623),x41624))) % 194.45/194.25 [4163]E(f324(f324(f112(f928(x41631,f928(x41632,a916))),f243(x41632,x41631,x41633)),f243(x41632,x41631,x41634)),f243(x41632,x41631,f324(f324(f112(f928(x41632,f928(x41631,a916))),x41633),x41634))) % 194.45/194.25 [4217]E(f324(f324(f112(f928(x42171,a916)),f324(f324(f3(f928(x42171,a916)),x42172),x42173)),f324(f324(f3(f928(x42171,a916)),x42174),x42173)),f324(f324(f3(f928(x42171,a916)),f324(f324(f112(f928(x42171,a916)),x42172),x42174)),x42173)) % 194.45/194.25 [4218]E(f324(f324(f3(f928(x42181,a916)),f324(f324(f103(f928(x42181,a916)),x42182),x42183)),f324(f324(f103(f928(x42181,a916)),x42184),x42183)),f324(f324(f103(f928(x42181,a916)),f324(f324(f3(f928(x42181,a916)),x42182),x42184)),x42183)) % 194.45/194.25 [4219]E(f324(f324(f112(f928(x42191,a916)),f324(f324(f103(f928(x42191,a916)),x42192),x42193)),f324(f324(f103(f928(x42191,a916)),x42194),x42193)),f324(f324(f103(f928(x42191,a916)),f324(f324(f112(f928(x42191,a916)),x42192),x42194)),x42193)) % 194.45/194.25 [4220]E(f324(f324(f103(f928(x42201,a916)),f324(f324(f112(f928(x42201,a916)),x42202),x42203)),f324(f324(f112(f928(x42201,a916)),x42204),x42203)),f324(f324(f112(f928(x42201,a916)),f324(f324(f103(f928(x42201,a916)),x42202),x42204)),x42203)) % 194.45/194.25 [4221]E(f324(f324(f3(f928(x42211,a916)),f324(f324(f103(f928(x42211,a916)),x42212),x42213)),f324(f324(f103(f928(x42211,a916)),x42214),x42213)),f324(f324(f3(f928(x42211,a916)),f324(f324(f103(f928(x42211,a916)),x42212),x42213)),x42214)) % 194.45/194.25 [4233]E(f324(f324(f3(f928(x42331,a916)),f324(f324(f3(f928(x42331,a916)),x42332),f324(f324(f306(x42331),x42333),f189(f928(x42331,a916))))),x42334),f324(f324(f3(f928(x42331,a916)),x42332),f324(f324(f306(x42331),x42333),x42334))) % 194.45/194.25 [4286]E(f324(f324(f112(f928(x42861,a916)),f324(f324(f306(x42861),x42862),f324(f324(f306(x42861),x42863),f189(f928(x42861,a916))))),f324(f279(x42861),x42864)),f324(f279(x42861),f324(f324(f306(f927(x42861,x42861)),f324(f324(f252(x42861,x42861),x42862),x42863)),x42864))) % 194.45/194.25 [4311]E(f324(f324(f40(a920,f928(x43111,a916)),f324(f298(a920),x43112)),f324(f324(f10(a920,f928(x43111,a916),a920),x43113),f324(f324(f9(a920,a920,a920),f79(a920)),x43114))),f324(f324(f40(a920,f928(x43111,a916)),f300(a920,x43114,f324(f324(f79(a920),x43112),x43114))),x43113)) % 194.45/194.25 [4312]E(f174(x43121,f324(f283(x43121,x43121,x43122),f324(f324(f306(x43121),x43123),f189(f928(x43121,a916)))),f324(f283(f921(x43121),f921(x43121),f158(x43121,x43122)),f324(f324(f306(f921(x43121)),x43124),f189(f928(f921(x43121),a916))))),f324(f283(f921(x43121),f921(x43121),f158(x43121,x43122)),f324(f324(f306(f921(x43121)),f324(f324(f151(x43121),x43123),x43124)),f189(f928(f921(x43121),a916))))) % 194.45/194.25 [4376]E(f324(f262(x43761),f324(f324(f9(x43761,f928(x43762,a916),a916),f324(f324(f10(x43762,f928(f928(x43762,a916),a916),x43761),f326(x43762)),x43763)),x43764)),f324(f308(x43761,x43762,x43763),x43764)) % 194.45/194.25 [4466]E(f324(f262(x44661),f324(f324(f9(x44661,f928(f927(x44662,x44661),a916),a916),f324(f324(f10(f927(x44662,x44661),f928(f928(f927(x44662,x44661),a916),a916),x44661),f326(f927(x44662,x44661))),f324(f252(x44662,x44661),x44663))),x44664)),f324(f283(x44662,x44661,x44664),f324(f324(f306(x44662),x44663),f189(f928(x44662,a916))))) % 194.45/194.25 [4480]E(f324(f324(f154(f927(x44801,a920),x44801),f251(x44801,a920)),f324(f136(f927(x44801,a920),f324(f324(f10(a920,a916,f927(x44801,a920)),x44802),f324(f324(f10(a920,a920,f927(x44801,a920)),a114),f256(x44801,a920)))),f324(f324(f181(x44801,a920),x44803),x44804))),f324(f324(f154(f927(x44801,a920),x44801),f251(x44801,a920)),f324(f136(f927(x44801,a920),f324(f324(f10(a920,a916,f927(x44801,a920)),x44802),f256(x44801,a920))),f324(f324(f181(x44801,a920),x44803),f324(f324(f154(a920,a920),a114),x44804))))) % 194.45/194.25 [4489]P1(f324(f324(f234(f928(f928(x44891,a916),a916)),f324(f324(f40(x44892,f928(f928(x44891,a916),a916)),x44893),f324(f324(f10(f928(x44891,a916),f928(f928(x44891,a916),a916),x44892),f305(x44891)),x44894))),f324(f305(x44891),f324(f324(f40(x44892,f928(x44891,a916)),x44893),x44894)))) % 194.45/194.25 [4530]E(f324(f324(f85(a1,x45301),f324(f105(a1),f324(f324(f79(a1),x45302),a99))),f324(f324(f20(a1,x45301,x45301),f324(f324(f9(a1,x45301,f928(x45301,x45301)),f324(f324(f10(a916,f928(x45301,f928(x45301,x45301)),a1),f96(x45301)),a194)),x45303)),f324(f324(f20(a1,x45301,x45301),f324(f324(f10(a920,f928(x45301,x45301),a1),x45304),a106)),f324(f324(f10(a920,x45301,a1),f184(x45301,x45303,x45304)),a106)))),f324(f184(x45301,x45303,x45304),f324(f105(a920),x45302))) % 194.45/194.25 [4554]E(f324(f262(f927(x45541,x45542)),f324(f257(x45541,x45542,a916),f324(f324(f9(x45541,f928(x45542,a916),f928(x45542,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x45542,a916),f928(x45542,a916)),x45541),f10(a916,a916,x45542)),f324(f324(f10(a916,f928(a916,a916),x45541),a322),f324(f324(f9(x45541,f928(x45541,a916),a916),f326(x45541)),x45543)))),f324(f324(f9(x45542,f928(x45542,a916),a916),f326(x45542)),x45544)))),f230(x45541,x45542,x45543,x45544)) % 194.45/194.25 [4590]E(f324(f324(f40(x45901,f928(f927(x45901,x45902),a916)),x45903),f324(f324(f20(x45901,f928(x45902,f928(f927(x45901,x45902),a916)),f928(f927(x45901,x45902),a916)),f324(f324(f10(f928(x45902,a916),f928(f928(x45902,f928(f927(x45901,x45902),a916)),f928(f927(x45901,x45902),a916)),x45901),f40(x45902,f928(f927(x45901,x45902),a916))),x45904)),f324(f324(f9(x45901,f928(f927(x45901,x45902),a916),f928(x45902,f928(f927(x45901,x45902),a916))),f324(f324(f10(f928(x45902,f928(f928(f927(x45901,x45902),a916),f928(f927(x45901,x45902),a916))),f928(f928(f927(x45901,x45902),a916),f928(x45902,f928(f927(x45901,x45902),a916))),x45901),f9(x45902,f928(f927(x45901,x45902),a916),f928(f927(x45901,x45902),a916))),f324(f324(f10(f928(x45902,f927(x45901,x45902)),f928(x45902,f928(f928(f927(x45901,x45902),a916),f928(f927(x45901,x45902),a916))),x45901),f324(f10(f927(x45901,x45902),f928(f928(f927(x45901,x45902),a916),f928(f927(x45901,x45902),a916)),x45902),f306(f927(x45901,x45902)))),f252(x45901,x45902)))),f189(f928(f927(x45901,x45902),a916))))),f324(f324(f254(x45901,x45902),x45903),x45904)) % 194.45/194.25 [4157]E(f324(f324(f134(x41571),f324(f324(f175(x41571),x41572),x41573)),f324(f324(f175(x41571),f324(f324(f3(a920),x41572),f324(f190(f921(x41571)),x41573))),x41574)),f324(f324(f175(x41571),x41572),f324(f324(f134(x41571),x41573),x41574))) % 194.45/194.25 [4158]E(f324(f324(f134(x41581),f324(f324(f138(x41581),x41582),x41583)),f324(f324(f138(x41581),f324(f324(f3(a920),x41582),f324(f190(f921(x41581)),x41583))),x41584)),f324(f324(f138(x41581),x41582),f324(f324(f134(x41581),x41583),x41584))) % 194.45/194.25 [4207]E(f324(f324(f79(a920),f324(f324(f80(a920),x42071),x42072)),f324(f324(f79(a920),f324(f324(f80(a920),x42073),x42072)),x42074)),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f79(a920),x42071),x42073)),x42072)),x42074)) % 194.45/194.25 [4352]E(f89(x43521,f324(f324(f9(x43521,x43522,a916),f324(f324(f10(x43522,f928(x43522,a916),x43521),a321),x43523)),x43524)),f324(f91(x43521,x43522,f242(f928(x43521,a916)),x43523),x43524)) % 194.45/194.25 [4400]P1(f324(f324(f234(f928(x44001,a916)),f324(f324(f3(f928(x44001,a916)),f324(f282(x44002,x44001),x44003)),f324(f282(x44002,x44001),x44004))),f324(f282(x44002,x44001),f324(f324(f3(f928(f927(x44002,x44001),a916)),x44003),x44004)))) % 194.45/194.25 [4401]P1(f324(f324(f234(f928(x44011,a916)),f324(f324(f3(f928(x44011,a916)),f324(f264(x44011,x44012),x44013)),f324(f264(x44011,x44012),x44014))),f324(f264(x44011,x44012),f324(f324(f3(f928(f927(x44011,x44012),a916)),x44013),x44014)))) % 194.45/194.25 [4509]E(f324(f324(f79(a1),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x45091),x45092)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x45093),x45094)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),f324(f324(f79(a920),x45091),x45093)),f324(f324(f79(a920),x45092),x45094))),f189(f928(f927(a920,a920),a916)))))) % 194.45/194.25 [4549]E(f324(f324(f80(a1),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x45491),x45492)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x45493),x45494)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),f324(f324(f79(a920),f324(f324(f80(a920),x45491),x45493)),f324(f324(f80(a920),x45492),x45494))),f324(f324(f79(a920),f324(f324(f80(a920),x45491),x45494)),f324(f324(f80(a920),x45492),x45493)))),f189(f928(f927(a920,a920),a916)))))) % 194.45/194.25 [4570]E(f324(f262(x45701),f324(f324(f10(f928(x45702,a916),a916,x45701),f87(x45702)),f324(f324(f10(f928(x45702,a916),f928(x45702,a916),x45701),f324(f20(x45702,a916,a916),f324(f324(f10(a916,f928(a916,a916),x45702),a327),f324(f324(f9(x45702,f928(x45702,a916),a916),f326(x45702)),x45703)))),f324(f324(f9(x45701,f928(x45702,f928(x45701,a916)),f928(x45702,a916)),f324(f324(f10(f928(f928(x45701,a916),a916),f928(f928(x45702,f928(x45701,a916)),f928(x45702,a916)),x45701),f10(f928(x45701,a916),a916,x45702)),f326(x45701))),x45704)))),f324(f324(f39(x45702,f928(x45701,a916)),x45703),x45704)) % 194.45/194.25 [4603]E(f324(f324(f286(x46031,x46031,x46031),f324(f324(f306(f927(x46031,x46031)),f324(f324(f252(x46031,x46031),x46032),x46033)),x46034)),f304(x46031,f324(f324(f306(f927(x46031,x46031)),f324(f324(f252(x46031,x46031),x46032),x46033)),x46034))),f324(f324(f112(f928(f927(x46031,x46031),a916)),f324(f324(f286(x46031,x46031,x46031),x46034),f304(x46031,x46034))),f324(f262(f927(x46031,x46031)),f324(f257(x46031,x46031,a916),f324(f324(f9(x46031,f928(x46031,a916),f928(x46031,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x46031,a916),f928(x46031,a916)),x46031),f10(a916,a916,x46031)),f324(f324(f10(a916,f928(a916,a916),x46031),a322),f324(f324(f9(x46031,f928(f927(x46031,x46031),a916),a916),f324(f324(f10(f927(x46031,x46031),f928(f928(f927(x46031,x46031),a916),a916),x46031),f326(f927(x46031,x46031))),f324(f324(f9(x46031,x46031,f927(x46031,x46031)),f252(x46031,x46031)),x46032))),f304(x46031,x46034))))),f324(f324(f9(x46031,f928(f927(x46031,x46031),a916),a916),f324(f324(f10(f927(x46031,x46031),f928(f928(f927(x46031,x46031),a916),a916),x46031),f326(f927(x46031,x46031))),f324(f252(x46031,x46031),x46033))),f304(x46031,x46034))))))) % 194.45/194.25 [4402]E(f324(f136(x44021,f324(f324(f20(x44021,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44021),a322),x44022)),x44023)),x44024),f324(f136(x44021,x44023),f324(f136(x44021,x44022),x44024))) % 194.45/194.25 [4503]E(f324(f324(f134(x45031),f324(f324(f324(f96(f921(x45031)),f324(f324(f326(a920),f2(a920)),x45032)),f324(f324(f151(x45031),x45033),f115(x45031))),f115(x45031))),f176(x45031,x45034,f324(f262(a920),f324(f324(f9(a920,f928(a920,a916),a916),f324(f324(f10(a920,f928(f928(a920,a916),a916),a920),f326(a920)),a114)),x45032)))),f176(x45031,f324(f324(f151(x45031),x45033),x45034),x45032)) % 194.45/194.25 [4599]E(f324(f262(f927(x45991,x45992)),f324(f324(f10(f928(a920,a916),a916,f927(x45991,x45992)),f86(a920)),f324(f324(f9(f927(x45991,x45992),f928(a920,a916),f928(a920,a916)),f324(f324(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),f927(x45991,x45992)),f20(a920,a916,a916)),f324(f324(f10(f928(a920,a916),f928(a920,f928(a916,a916)),f927(x45991,x45992)),f324(f10(a916,f928(a916,a916),a920),a322)),f324(f324(f9(f927(x45991,x45992),f928(a920,f927(x45991,x45992)),f928(a920,a916)),f324(f324(f10(f928(f927(x45991,x45992),a916),f928(f928(a920,f927(x45991,x45992)),f928(a920,a916)),f927(x45991,x45992)),f10(f927(x45991,x45992),a916,a920)),a321)),f324(f324(f20(a920,x45992,f927(x45991,x45992)),f324(f324(f10(x45991,f928(x45992,f927(x45991,x45992)),a920),f252(x45991,x45992)),f324(f164(x45991),x45993))),f324(f164(x45992),x45994)))))),f324(f324(f9(a920,a920,a916),f235(a920)),f324(f324(f188(a920),f324(f190(f921(x45991)),x45993)),f324(f190(f921(x45992)),x45994)))))),f324(f172(f927(x45991,x45992)),f324(f324(f181(x45991,x45992),x45993),x45994))) % 194.45/194.25 [4522]E(f324(f262(f927(x45221,x45222)),f324(f257(x45221,x45222,a916),f324(f324(f9(x45221,f928(x45222,a916),f928(x45222,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x45222,a916),f928(x45222,a916)),x45221),f10(a916,a916,x45222)),f324(f324(f10(a916,f928(a916,a916),x45221),a322),x45223))),x45224))),f324(f324(f254(x45221,x45222),f324(f262(x45221),x45223)),f324(f18(f928(x45222,a916),x45221),f324(f262(x45222),x45224)))) % 194.45/194.25 [4525]E(f324(f262(f927(x45251,x45252)),f324(f257(x45251,x45252,a916),f324(f324(f20(x45251,f928(x45252,a916),f928(x45252,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x45252,a916),f928(x45252,a916)),x45251),f10(a916,a916,x45252)),f324(f324(f10(a916,f928(a916,a916),x45251),a322),x45253))),x45254))),f324(f324(f254(x45251,x45252),f324(f262(x45251),x45253)),f324(f324(f10(f928(x45252,a916),f928(x45252,a916),x45251),f262(x45252)),x45254))) % 194.45/194.25 [4537]E(f324(f262(x45371),f324(f324(f10(f928(x45372,a916),a916,x45371),f87(x45372)),f324(f324(f10(f928(x45372,a916),f928(x45372,a916),x45371),f324(f20(x45372,a916,a916),f324(f324(f10(a916,f928(a916,a916),x45372),a327),f324(f324(f9(x45372,f928(x45372,a916),a916),f326(x45372)),x45373)))),x45374))),f324(f324(f39(x45372,f928(x45371,a916)),x45373),f324(f324(f10(f928(x45371,a916),f928(x45371,a916),x45372),f262(x45371)),f324(f9(x45371,x45372,a916),x45374)))) % 194.45/194.25 [4582]E(f324(f324(f154(f927(x45821,a920),x45821),f251(x45821,a920)),f324(f136(f927(x45821,a920),f324(f324(f9(f927(x45821,a920),f928(a920,a916),a916),f324(f324(f10(a920,f928(f928(a920,a916),a916),f927(x45821,a920)),f326(a920)),f256(x45821,a920))),x45822)),f324(f324(f181(x45821,a920),x45823),f139(a920,f324(f299(a920,x45824),f324(f324(f79(a920),x45824),f324(f190(f921(x45821)),x45823))))))),f324(f324(f154(f927(x45821,a920),x45821),f251(x45821,a920)),f324(f136(f927(x45821,a920),f324(f324(f9(f927(x45821,a920),f928(a920,a916),a916),f324(f324(f10(a920,f928(f928(a920,a916),a916),f927(x45821,a920)),f326(a920)),f324(f324(f9(f927(x45821,a920),a920,a920),f324(f324(f10(a920,f928(a920,a920),f927(x45821,a920)),f79(a920)),f256(x45821,a920))),x45824))),x45822)),f324(f324(f181(x45821,a920),x45823),f139(a920,f324(f299(a920,f2(a920)),f324(f190(f921(x45821)),x45823))))))) % 194.45/194.25 [4583]E(f324(a114,f324(f324(f233(a920),f324(f190(f921(x45831)),x45832)),f324(f142(a920,f921(x45833),f324(f9(f921(x45833),a920,a920),f324(f324(f10(a920,f928(a920,a920),f921(x45833)),f233(a920)),f324(f324(f9(f921(x45833),a920,a920),f324(f324(f10(a920,f928(a920,a920),f921(x45833)),f3(a920)),f190(f921(x45833)))),f324(a114,f2(a920))))),f2(a920)),f324(f168(f921(x45833)),f324(f136(f921(x45833),f324(f324(f10(a916,a916,f921(x45833)),a319),f324(f324(f9(f921(x45833),f921(x45833),a916),a321),f115(x45833)))),x45834))))),f324(f324(f233(a920),f324(a114,f324(f190(f921(x45831)),x45832))),f324(f142(a920,f921(x45833),f324(f9(f921(x45833),a920,a920),f324(f324(f10(a920,f928(a920,a920),f921(x45833)),f233(a920)),f190(f921(x45833)))),f2(a920)),f324(f168(f921(x45833)),x45834)))) % 194.45/194.25 [4536]E(f324(f324(f134(x45361),f176(x45361,x45362,x45363)),f176(x45361,x45364,f324(f262(a920),f324(f324(f9(a920,f928(a920,a916),a916),f324(f324(f10(a920,f928(f928(a920,a916),a916),a920),f326(a920)),f324(f324(f9(a920,a920,a920),f79(a920)),f324(f190(f921(x45361)),x45362)))),x45363)))),f176(x45361,f324(f324(f134(x45361),x45362),x45364),x45363)) % 194.45/194.25 [4584]E(f38(f928(x45841,a916),f324(f262(f928(x45841,a916)),f324(f324(f10(f928(x45842,a916),a916,f928(x45841,a916)),f86(x45842)),f324(f324(f10(f928(x45842,a916),f928(x45842,a916),f928(x45841,a916)),f324(f20(x45842,a916,a916),f324(f324(f10(a916,f928(a916,a916),x45842),a322),f324(f324(f9(x45842,f928(x45842,a916),a916),f326(x45842)),x45843)))),f324(f324(f9(f928(x45841,a916),f928(x45842,f928(x45841,a916)),f928(x45842,a916)),f324(f324(f10(f928(f928(x45841,a916),a916),f928(f928(x45842,f928(x45841,a916)),f928(x45842,a916)),f928(x45841,a916)),f10(f928(x45841,a916),a916,x45842)),a321)),x45844))))),f324(f324(f39(x45842,f928(x45841,a916)),x45843),x45844)) % 194.45/194.25 [4585]E(f37(f928(x45851,a916),f324(f262(f928(x45851,a916)),f324(f324(f10(f928(x45852,a916),a916,f928(x45851,a916)),f86(x45852)),f324(f324(f10(f928(x45852,a916),f928(x45852,a916),f928(x45851,a916)),f324(f20(x45852,a916,a916),f324(f324(f10(a916,f928(a916,a916),x45852),a322),f324(f324(f9(x45852,f928(x45852,a916),a916),f326(x45852)),x45853)))),f324(f324(f9(f928(x45851,a916),f928(x45852,f928(x45851,a916)),f928(x45852,a916)),f324(f324(f10(f928(f928(x45851,a916),a916),f928(f928(x45852,f928(x45851,a916)),f928(x45852,a916)),f928(x45851,a916)),f10(f928(x45851,a916),a916,x45852)),a321)),x45854))))),f324(f324(f40(x45852,f928(x45851,a916)),x45853),x45854)) % 194.45/194.25 [4592]E(f324(f324(f151(f921(x45921)),f324(f324(f151(x45921),x45922),f324(f142(f921(x45921),f921(x45921),f134(x45921),f115(x45921)),f324(f324(f154(f921(x45921),f921(x45921)),f156(f921(x45921),x45921,f115(x45921),f324(f324(f10(f921(x45921),f928(f921(x45921),f921(x45921)),x45921),f18(f921(x45921),f921(x45921))),f324(f324(f9(x45921,f921(x45921),f921(x45921)),f151(x45921)),f115(x45921))))),x45923)))),f179(x45921,f324(f324(f151(f921(x45921)),x45924),f324(f142(f921(f921(x45921)),f921(f921(x45921)),f134(f921(x45921)),f115(f921(x45921))),f324(f324(f154(f921(x45921),f921(f921(x45921))),f156(f921(f921(x45921)),x45921,f115(f921(x45921)),f324(f18(f928(f921(x45921),f921(f921(x45921))),x45921),f324(f324(f9(f921(x45921),f921(f921(x45921)),f921(f921(x45921))),f151(f921(x45921))),f115(f921(x45921)))))),x45923))))),f179(x45921,f324(f324(f151(f921(x45921)),f324(f324(f151(x45921),x45922),x45924)),x45923))) % 194.45/194.25 [4600]E(f324(f262(f927(x46001,x46001)),f324(f257(x46001,x46001,a916),f324(f324(f9(x46001,f928(f927(x46002,x46002),a916),f928(x46001,a916)),f324(f324(f10(f928(x46001,f928(f928(f927(x46002,x46002),a916),a916)),f928(f928(f927(x46002,x46002),a916),f928(x46001,a916)),x46001),f9(x46001,f928(f927(x46002,x46002),a916),a916)),f324(f324(f10(f928(x46001,f927(x46002,x46002)),f928(x46001,f928(f928(f927(x46002,x46002),a916),a916)),x46001),f324(f10(f927(x46002,x46002),f928(f928(f927(x46002,x46002),a916),a916),x46001),f326(f927(x46002,x46002)))),f324(f324(f9(x46001,f928(x46001,x46002),f928(x46001,f927(x46002,x46002))),f324(f324(f10(f928(x46002,f927(x46002,x46002)),f928(f928(x46001,x46002),f928(x46001,f927(x46002,x46002))),x46001),f10(x46002,f927(x46002,x46002),x46001)),f324(f324(f10(x46002,f928(x46002,f927(x46002,x46002)),x46001),f252(x46002,x46002)),x46003))),x46003)))),x46004))),f324(f324(f285(x46002,x46001),x46004),x46003)) % 194.45/194.25 [4647]~E(f30(x46471,x46472),f27(x46473,x46474,x46475)) % 194.45/194.25 [4648]~E(f30(x46481,x46482),f26(x46483,x46484,x46485)) % 194.45/194.25 [4649]~E(f29(x46491,x46492),f27(x46493,x46494,x46495)) % 194.45/194.25 [4650]~E(f29(x46501,x46502),f26(x46503,x46504,x46505)) % 194.45/194.25 [4651]~E(f27(x46511,x46512,x46513),f30(x46514,x46515)) % 194.45/194.25 [4652]~E(f27(x46521,x46522,x46523),f29(x46524,x46525)) % 194.45/194.25 [4653]~E(f26(x46531,x46532,x46533),f30(x46534,x46535)) % 194.45/194.25 [4654]~E(f26(x46541,x46542,x46543),f29(x46544,x46545)) % 194.45/194.25 [3735]E(f324(f324(f154(x37351,x37352),x37353),f169(x37351,x37354,x37355)),f169(x37352,x37354,f324(x37353,x37355))) % 194.45/194.25 [4301]E(f324(f74(x43011,x43012,x43013,x43014,x43015),x43014),x43015) % 194.45/194.25 [4353]E(f253(x43531,x43532,x43533,f243(x43532,x43531,x43534),f243(x43533,x43532,x43535)),f243(x43533,x43531,f253(x43533,x43532,x43531,x43535,x43534))) % 194.45/194.25 [3928]E(f324(f324(f257(x39281,x39282,x39283),x39284),x39285),f324(f324(x39284,f324(f251(x39281,x39282),x39285)),f324(f256(x39281,x39282),x39285))) % 194.45/194.25 [3964]E(f324(f324(f324(f65(x39641,x39642,x39643),x39644),x39645),f189(f928(x39642,a916))),x39645) % 194.45/194.25 [4241]E(f324(f72(f921(x42411),f921(x42412),f921(x42413),f324(f154(x42411,x42412),x42414)),f324(f154(x42413,x42411),x42415)),f324(f154(x42413,x42412),f324(f72(x42411,x42412,x42413,x42414),x42415))) % 194.45/194.25 [4315]E(f84(x43151,f66(x43152,x43151,x43153,x43154,x43155)),f324(f324(f64(x43152,x43151,x43153),x43154),x43155)) % 194.45/194.25 [4349]E(f324(f324(f79(a920),f324(f324(f79(a920),f324(x43491,f324(f251(x43492,x43493),x43494))),f324(x43495,f324(f256(x43492,x43493),x43494)))),f324(a114,f2(a920))),f261(x43492,x43493,x43491,x43495,x43494)) % 194.45/194.25 [3864]E(f324(f324(f175(x38641),x38642),f324(f324(f154(x38643,x38641),x38644),x38645)),f324(f324(f154(x38643,x38641),x38644),f324(f324(f175(x38643),x38642),x38645))) % 194.45/194.25 [3865]E(f324(f324(f138(x38651),x38652),f324(f324(f154(x38653,x38651),x38654),x38655)),f324(f324(f154(x38653,x38651),x38654),f324(f324(f138(x38653),x38652),x38655))) % 194.45/194.25 [3897]E(f324(f324(f154(x38971,x38972),x38973),f324(f324(f151(x38971),x38974),x38975)),f324(f324(f151(x38972),f324(x38973,x38974)),f324(f324(f154(x38971,x38972),x38973),x38975))) % 194.45/194.25 [3958]E(f324(f307(x39581,x39582,x39583),f324(f324(f306(x39581),x39584),x39585)),f324(f324(f306(x39582),f324(x39583,x39584)),f324(f307(x39581,x39582,x39583),x39585))) % 194.45/194.25 [3988]E(f173(x39881,f324(f324(f151(x39881),x39882),x39883),f324(f324(f151(x39881),x39884),x39885)),f324(f324(f151(x39881),x39882),f324(f324(f151(x39881),x39884),f173(x39881,x39883,x39885)))) % 194.45/194.25 [4024]E(f324(f324(f181(x40241,x40242),f324(f324(f175(x40241),x40243),x40244)),f324(f324(f175(x40242),x40243),x40245)),f324(f324(f175(f927(x40241,x40242)),x40243),f324(f324(f181(x40241,x40242),x40244),x40245))) % 194.45/194.25 [4025]E(f324(f324(f181(x40251,x40252),f324(f324(f138(x40251),x40253),x40254)),f324(f324(f138(x40252),x40253),x40255)),f324(f324(f138(f927(x40251,x40252)),x40253),f324(f324(f181(x40251,x40252),x40254),x40255))) % 194.45/194.25 [4035]E(f324(f324(f159(x40351,f324(f324(f151(x40351),x40352),x40353)),f324(a114,x40354)),x40355),f324(f324(f151(x40351),x40352),f324(f324(f159(x40351,x40353),x40354),x40355))) % 194.45/194.25 [4038]E(f324(f324(f134(x40381),f324(f324(f154(x40382,x40381),x40383),x40384)),f324(f324(f154(x40382,x40381),x40383),x40385)),f324(f324(f154(x40382,x40381),x40383),f324(f324(f134(x40382),x40384),x40385))) % 194.45/194.25 [4042]E(f324(f324(x40421,x40422),f324(f324(f245(x40423,x40424,x40421),x40422),x40425)),f324(f324(f245(x40423,x40424,x40421),x40422),f324(a114,x40425))) % 194.45/194.25 [4073]E(f163(x40731,x40732,x40733,f324(f324(f151(x40731),x40734),x40735)),f324(f324(f134(x40732),f324(x40733,x40734)),f163(x40731,x40732,x40733,x40735))) % 194.45/194.25 [4085]E(f324(f324(f286(x40851,x40852,x40853),f324(f284(x40852,x40851),x40854)),f324(f284(x40853,x40852),x40855)),f324(f284(x40853,x40851),f324(f324(f286(x40853,x40852,x40851),x40855),x40854))) % 194.45/194.25 [4117]E(f324(f324(f324(f183(f921(x41171),f921(x41171)),x41172),f167(x41171)),f324(f324(f154(x41173,x41171),x41174),x41175)),f324(f324(f154(x41173,x41171),x41174),f324(f324(f324(f183(f921(x41173),f921(x41173)),x41172),f167(x41173)),x41175))) % 194.45/194.25 [4118]E(f324(f324(f259(x41181,x41182,x41181,x41183),f324(f252(x41182,x41181),x41184)),x41185),f324(x41185,x41184)) % 194.45/194.25 [4143]E(f155(x41431,x41432,f324(f324(f154(x41433,x41431),x41434),x41435)),f155(x41433,f324(f72(x41431,a920,x41433,x41432),x41434),x41435)) % 194.45/194.25 [4206]E(f177(f927(x42061,x42062),f324(f72(x42062,a916,f927(x42061,x42062),x42063),f256(x42061,x42062)),f324(f324(f181(x42061,x42062),x42064),x42065)),f324(f324(f181(x42061,x42062),x42064),f177(x42062,x42063,x42065))) % 194.45/194.25 [4211]E(f324(f307(x42111,x42112,f324(f324(f10(x42113,x42112,x42111),x42114),x42115)),f242(f928(x42111,a916))),f324(f307(x42113,x42112,x42114),f324(f307(x42111,x42113,x42115),f242(f928(x42111,a916))))) % 194.45/194.25 [4224]E(f177(f927(x42241,x42242),f324(f72(x42241,a916,f927(x42241,x42242),x42243),f251(x42241,x42242)),f324(f324(f181(x42241,x42242),x42244),x42245)),f324(f324(f181(x42241,x42242),f177(x42241,x42243,x42244)),x42245)) % 194.45/194.25 [4245]E(f324(f324(f112(f928(x42451,a916)),f324(f308(x42451,x42452,x42453),f324(f324(f306(x42452),x42454),f189(f928(x42452,a916))))),f324(f308(x42451,x42452,x42453),x42455)),f324(f308(x42451,x42452,x42453),f324(f324(f306(x42452),x42454),x42455))) % 194.45/194.25 [4300]E(f324(f324(f134(f927(x43001,x43002)),f324(f324(f154(x43002,f927(x43001,x43002)),f324(f252(x43001,x43002),x43003)),x43004)),f59(x43001,x43002,x43005,x43004)),f59(x43001,x43002,f324(f324(f151(x43001),x43003),x43005),x43004)) % 194.45/194.25 [4302]E(f324(f324(f154(x43021,x43022),x43023),f177(x43021,f324(f72(x43022,a916,x43021,x43024),x43023),x43025)),f177(x43022,x43024,f324(f324(f154(x43021,x43022),x43023),x43025))) % 194.45/194.25 [4307]E(f324(f142(x43071,x43072,f324(f9(x43072,x43071,x43071),f324(f9(x43071,x43072,x43071),x43073)),x43074),f324(f168(x43072),f324(f168(x43072),x43075))),f324(f142(x43071,x43072,x43073,x43074),x43075)) % 194.45/194.25 [4410]P1(f324(f324(f234(f928(x44101,a916)),f324(f307(x44102,x44101,x44103),f324(f324(f103(f928(x44102,a916)),x44104),x44105))),f324(f324(f103(f928(x44101,a916)),f324(f307(x44102,x44101,x44103),x44104)),f324(f307(x44102,x44101,x44103),x44105)))) % 194.45/194.25 [4411]P1(f324(f324(f234(f928(x44111,a916)),f324(f283(x44112,x44111,x44113),f324(f324(f103(f928(x44112,a916)),x44114),x44115))),f324(f324(f103(f928(x44111,a916)),f324(f283(x44112,x44111,x44113),x44114)),f324(f283(x44112,x44111,x44113),x44115)))) % 194.45/194.25 [4510]E(f324(f256(x45101,x45102),f324(f258(x45103,x45101,x45102,x45102,x45104,f31(x45102)),x45105)),f324(f256(x45103,x45102),x45105)) % 194.45/194.25 [4511]E(f324(f251(x45111,x45112),f324(f258(x45111,x45111,x45113,x45112,f31(x45111),x45114),x45115)),f324(f251(x45111,x45113),x45115)) % 194.45/194.25 [4598]P11(x45981,x45982,f324(f324(f306(f919(x45981)),f324(f324(f324(f90(x45981),f324(f324(f9(x45981,f928(a918,a916),f928(a918,a916)),f324(f324(f10(f928(a918,f928(a916,a916)),f928(f928(a918,a916),f928(a918,a916)),x45981),f20(a918,a916,a916)),f324(f324(f10(f928(a918,a916),f928(a918,f928(a916,a916)),x45981),f324(f10(a916,f928(a916,a916),a918),a322)),x45983))),f324(f324(f10(a916,a916,a918),a319),x45984))),f29(x45984,x45985)),x45983)),f189(f928(f919(x45981),a916)))) % 194.45/194.25 [3705]E(f324(f324(f324(f324(f205(x37051),x37052),x37053),x37054),x37055),f193(x37051,x37052)) % 194.45/194.25 [3706]E(f324(f324(f324(f324(f209(x37061),x37062),x37063),x37064),x37065),f200(x37061,x37062)) % 194.45/194.25 [3751]E(f93(x37511,x37512,f324(f324(f324(f90(x37511),x37513),x37514),x37515)),f2(a920)) % 194.45/194.25 [4074]E(f324(f324(f39(x40741,f928(x40742,a916)),f324(f324(f306(x40741),x40743),x40744)),x40745),f324(f324(f103(f928(x40742,a916)),f324(x40745,x40743)),f324(f324(f39(x40741,f928(x40742,a916)),x40744),x40745))) % 194.45/194.25 [4075]E(f324(f324(f40(x40751,f928(x40752,a916)),f324(f324(f306(x40751),x40753),x40754)),x40755),f324(f324(f112(f928(x40752,a916)),f324(x40755,x40753)),f324(f324(f40(x40751,f928(x40752,a916)),x40754),x40755))) % 194.45/194.25 [4125]E(f324(f120(x41251,x41252,f324(x41253,x41254)),f324(f324(f9(x41251,a101,f922(x41252)),x41255),x41254)),f324(f198(x41251,x41252,x41253,x41255),x41254)) % 194.45/194.25 [4137]E(f324(f324(f112(f928(x41371,a916)),f324(f307(x41372,x41371,x41373),x41374)),f324(f307(x41372,x41371,x41373),x41375)),f324(f307(x41372,x41371,x41373),f324(f324(f112(f928(x41372,a916)),x41374),x41375))) % 194.45/194.25 [4138]E(f324(f324(f112(f928(x41381,a916)),f324(f283(x41382,x41381,x41383),x41384)),f324(f283(x41382,x41381,x41383),x41385)),f324(f283(x41382,x41381,x41383),f324(f324(f112(f928(x41382,a916)),x41384),x41385))) % 194.45/194.25 [4139]E(f324(f324(f3(f928(x41391,a916)),f324(f308(x41391,x41392,x41393),x41394)),f324(f308(x41391,x41392,x41393),x41395)),f324(f308(x41391,x41392,x41393),f324(f324(f3(f928(x41392,a916)),x41394),x41395))) % 194.45/194.25 [4140]E(f324(f324(f103(f928(x41401,a916)),f324(f308(x41401,x41402,x41403),x41404)),f324(f308(x41401,x41402,x41403),x41405)),f324(f308(x41401,x41402,x41403),f324(f324(f103(f928(x41402,a916)),x41404),x41405))) % 194.45/194.25 [4141]E(f324(f324(f112(f928(x41411,a916)),f324(f308(x41411,x41412,x41413),x41414)),f324(f308(x41411,x41412,x41413),x41415)),f324(f308(x41411,x41412,x41413),f324(f324(f112(f928(x41412,a916)),x41414),x41415))) % 194.45/194.25 [4202]E(f324(f324(f159(x42021,f324(f324(f134(x42021),x42022),f324(f324(f151(x42021),x42023),x42024))),f324(f190(f921(x42021)),x42022)),x42025),f324(f324(f134(x42021),x42022),f324(f324(f151(x42021),x42025),x42024))) % 194.45/194.25 [4209]E(f324(f324(f39(x42091,f928(x42092,a916)),x42093),f324(f324(f10(f928(x42092,a916),f928(x42092,a916),x42091),f324(f306(x42092),x42094)),x42095)),f324(f324(f306(x42092),x42094),f324(f324(f39(x42091,f928(x42092,a916)),x42093),x42095))) % 194.45/194.25 [4362]E(f324(f324(f154(x43621,x43622),x43623),f324(f136(x43621,f324(f72(x43622,a916,x43621,x43624),x43623)),x43625)),f324(f136(x43622,x43624),f324(f324(f154(x43621,x43622),x43623),x43625))) % 194.45/194.25 [4368]E(f324(f190(f921(x43681)),f324(f136(x43681,x43682),f324(f324(f154(x43683,x43681),x43684),x43685))),f324(f190(f921(x43683)),f324(f136(x43683,f324(f72(x43681,a916,x43683,x43682),x43684)),x43685))) % 194.45/194.25 [4575]E(f324(f156(f921(f927(x45751,x45752)),x45752,f115(f927(x45751,x45752)),f324(f324(f9(x45752,f928(f921(x45752),f921(f927(x45751,x45752))),f928(f921(x45752),f921(f927(x45751,x45752)))),f324(f324(f10(f928(f921(f927(x45751,x45752)),f921(f927(x45751,x45752))),f928(f928(f921(x45752),f921(f927(x45751,x45752))),f928(f921(x45752),f921(f927(x45751,x45752)))),x45752),f10(f921(f927(x45751,x45752)),f921(f927(x45751,x45752)),f921(x45752))),f324(f324(f10(f927(x45751,x45752),f928(f921(f927(x45751,x45752)),f921(f927(x45751,x45752))),x45752),f151(f927(x45751,x45752))),f324(f252(x45751,x45752),x45753)))),f324(f181(x45751,x45752),x45754))),x45755),f324(f324(f181(x45751,x45752),f324(f324(f151(x45751),x45753),x45754)),x45755)) % 194.45/194.25 [4067]E(f324(f324(f159(x40671,f324(f324(f159(x40671,x40672),x40673),x40674)),x40673),x40675),f324(f324(f159(x40671,x40672),x40673),x40675)) % 194.45/194.25 [4119]E(f324(f282(x41191,x41192),f324(f324(f306(f927(x41191,x41192)),f324(f324(f252(x41191,x41192),x41193),x41194)),x41195)),f324(f324(f306(x41192),x41194),f324(f282(x41191,x41192),x41195))) % 194.45/194.25 [4120]E(f324(f264(x41201,x41202),f324(f324(f306(f927(x41201,x41202)),f324(f324(f252(x41201,x41202),x41203),x41204)),x41205)),f324(f324(f306(x41201),x41203),f324(f264(x41201,x41202),x41205))) % 194.45/194.25 [4167]E(f123(x41671,x41672,f324(x41673,x41674),f324(f324(f9(x41671,a101,f922(f924(x41672))),x41675),x41674)),f324(f196(x41671,x41672,x41673,x41675),x41674)) % 194.45/194.25 [4195]E(f324(f324(f3(f928(f927(x41951,x41952),a916)),f324(f324(f254(x41951,x41952),x41953),x41954)),f324(f324(f254(x41951,x41952),x41955),x41954)),f324(f324(f254(x41951,x41952),f324(f324(f3(f928(x41951,a916)),x41953),x41955)),x41954)) % 194.45/194.25 [4196]E(f324(f324(f103(f928(f927(x41961,x41962),a916)),f324(f324(f254(x41961,x41962),x41963),x41964)),f324(f324(f254(x41961,x41962),x41965),x41964)),f324(f324(f254(x41961,x41962),f324(f324(f103(f928(x41961,a916)),x41963),x41965)),x41964)) % 194.45/194.25 [4197]E(f324(f324(f112(f928(f927(x41971,x41972),a916)),f324(f324(f254(x41971,x41972),x41973),x41974)),f324(f324(f254(x41971,x41972),x41975),x41974)),f324(f324(f254(x41971,x41972),f324(f324(f112(f928(x41971,a916)),x41973),x41975)),x41974)) % 194.45/194.25 [4256]E(f324(f324(f103(f928(x42561,a916)),f324(f324(f39(x42562,f928(x42561,a916)),x42563),x42564)),f324(f324(f39(x42562,f928(x42561,a916)),x42565),x42564)),f324(f324(f39(x42562,f928(x42561,a916)),f324(f324(f112(f928(x42562,a916)),x42563),x42565)),x42564)) % 194.45/194.25 [4257]E(f324(f324(f112(f928(x42571,a916)),f324(f324(f40(x42572,f928(x42571,a916)),x42573),x42574)),f324(f324(f40(x42572,f928(x42571,a916)),x42575),x42574)),f324(f324(f40(x42572,f928(x42571,a916)),f324(f324(f112(f928(x42572,a916)),x42573),x42575)),x42574)) % 194.45/194.25 [4271]E(f324(f324(f39(x42711,f928(x42712,a916)),x42713),f324(f324(f10(f928(x42712,a916),f928(x42712,a916),x42711),f324(f112(f928(x42712,a916)),x42714)),x42715)),f324(f324(f112(f928(x42712,a916)),x42714),f324(f324(f39(x42711,f928(x42712,a916)),x42713),x42715))) % 194.45/194.25 [4272]E(f324(f324(f40(x42721,f928(x42722,a916)),x42723),f324(f324(f10(f928(x42722,a916),f928(x42722,a916),x42721),f324(f3(f928(x42722,a916)),x42724)),x42725)),f324(f324(f3(f928(x42722,a916)),x42724),f324(f324(f39(x42721,f928(x42722,a916)),x42723),x42725))) % 194.45/194.25 [4273]E(f324(f324(f40(x42731,f928(x42732,a916)),x42733),f324(f324(f10(f928(x42732,a916),f928(x42732,a916),x42731),f324(f103(f928(x42732,a916)),x42734)),x42735)),f324(f324(f103(f928(x42732,a916)),x42734),f324(f324(f40(x42731,f928(x42732,a916)),x42733),x42735))) % 194.45/194.25 [4327]E(f185(f921(x43271),f324(f324(f151(x43271),x43272),x43273),f324(f324(f10(f921(x43271),f921(x43271),a920),f324(f151(x43271),x43274)),f324(f324(f9(a920,x43271,f921(x43271)),f159(x43271,x43273)),x43272)),x43275),f324(f324(f159(x43271,f324(f324(f151(x43271),x43274),x43273)),x43275),x43272)) % 194.45/194.25 [4331]E(f324(f324(f39(x43311,f928(f927(x43312,x43313),a916)),x43314),f324(f324(f10(f928(f927(x43313,x43312),a916),f928(f927(x43312,x43313),a916),x43311),f284(x43313,x43312)),x43315)),f324(f284(x43313,x43312),f324(f324(f39(x43311,f928(f927(x43313,x43312),a916)),x43314),x43315))) % 194.45/194.25 [4332]E(f324(f324(f40(x43321,f928(f927(x43322,x43323),a916)),x43324),f324(f324(f10(f928(f927(x43323,x43322),a916),f928(f927(x43322,x43323),a916),x43321),f284(x43323,x43322)),x43325)),f324(f284(x43323,x43322),f324(f324(f40(x43321,f928(f927(x43323,x43322),a916)),x43324),x43325))) % 194.45/194.25 [4433]P1(f324(f324(f234(f928(x44331,a916)),f324(f324(f3(f928(x44331,a916)),f324(f307(x44332,x44331,x44333),x44334)),f324(f307(x44332,x44331,x44333),x44335))),f324(f307(x44332,x44331,x44333),f324(f324(f3(f928(x44332,a916)),x44334),x44335)))) % 194.45/194.25 [4578]E(f324(f156(f921(f927(x45781,x45782)),x45781,f115(f927(x45781,x45782)),f324(f324(f9(x45781,f928(f921(x45781),f921(f927(x45781,x45782))),f928(f921(x45781),f921(f927(x45781,x45782)))),f324(f324(f10(f928(f921(f927(x45781,x45782)),f921(f927(x45781,x45782))),f928(f928(f921(x45781),f921(f927(x45781,x45782))),f928(f921(x45781),f921(f927(x45781,x45782)))),x45781),f10(f921(f927(x45781,x45782)),f921(f927(x45781,x45782)),f921(x45781))),f324(f324(f10(f927(x45781,x45782),f928(f921(f927(x45781,x45782)),f921(f927(x45781,x45782))),x45781),f151(f927(x45781,x45782))),f324(f324(f9(x45781,x45782,f927(x45781,x45782)),f252(x45781,x45782)),x45783)))),f324(f324(f9(f921(x45781),f921(x45782),f921(f927(x45781,x45782))),f181(x45781,x45782)),x45784))),x45785),f324(f324(f181(x45781,x45782),x45785),f324(f324(f151(x45782),x45783),x45784))) % 194.45/194.25 [4296]E(f324(f324(f112(f928(x42961,a916)),f324(f283(x42962,x42961,x42963),x42964)),f324(f283(x42962,x42961,x42965),x42964)),f324(f283(x42962,x42961,f324(f324(f112(f928(f927(x42962,x42961),a916)),x42963),x42965)),x42964)) % 194.45/194.25 [4333]E(f324(f324(f134(f927(x43331,x43332)),f324(f324(f181(x43331,x43332),x43333),f324(f324(f175(x43332),f324(f190(f921(x43331)),x43333)),x43334))),f324(f324(f181(x43331,x43332),x43335),f324(f324(f138(x43332),f324(f190(f921(x43331)),x43333)),x43334))),f324(f324(f181(x43331,x43332),f324(f324(f134(x43331),x43333),x43335)),x43334)) % 194.45/194.25 [4436]E(f324(f324(f254(x44361,x44362),x44363),f324(f324(f20(x44361,f928(x44362,a916),f928(x44362,a916)),f324(f324(f10(f928(x44362,a916),f928(f928(x44362,a916),f928(x44362,a916)),x44361),f3(f928(x44362,a916))),x44364)),x44365)),f324(f324(f3(f928(f927(x44361,x44362),a916)),f324(f324(f254(x44361,x44362),x44363),x44364)),f324(f324(f254(x44361,x44362),x44363),x44365))) % 194.45/194.25 [4437]E(f324(f324(f254(x44371,x44372),x44373),f324(f324(f20(x44371,f928(x44372,a916),f928(x44372,a916)),f324(f324(f10(f928(x44372,a916),f928(f928(x44372,a916),f928(x44372,a916)),x44371),f103(f928(x44372,a916))),x44374)),x44375)),f324(f324(f103(f928(f927(x44371,x44372),a916)),f324(f324(f254(x44371,x44372),x44373),x44374)),f324(f324(f254(x44371,x44372),x44373),x44375))) % 194.45/194.25 [4438]E(f324(f324(f254(x44381,x44382),x44383),f324(f324(f20(x44381,f928(x44382,a916),f928(x44382,a916)),f324(f324(f10(f928(x44382,a916),f928(f928(x44382,a916),f928(x44382,a916)),x44381),f112(f928(x44382,a916))),x44384)),x44385)),f324(f324(f112(f928(f927(x44381,x44382),a916)),f324(f324(f254(x44381,x44382),x44383),x44384)),f324(f324(f254(x44381,x44382),x44383),x44385))) % 194.45/194.25 [4442]E(f324(f324(f39(x44421,f928(x44422,a916)),x44423),f324(f324(f9(x44421,f928(x44422,a916),f928(x44422,a916)),f324(f324(f10(f928(x44422,a916),f928(f928(x44422,a916),f928(x44422,a916)),x44421),f112(f928(x44422,a916))),x44424)),x44425)),f324(f324(f112(f928(x44422,a916)),f324(f324(f39(x44421,f928(x44422,a916)),x44423),x44424)),x44425)) % 194.45/194.25 [4443]E(f324(f324(f40(x44431,f928(x44432,a916)),x44433),f324(f324(f9(x44431,f928(x44432,a916),f928(x44432,a916)),f324(f324(f10(f928(x44432,a916),f928(f928(x44432,a916),f928(x44432,a916)),x44431),f3(f928(x44432,a916))),x44434)),x44435)),f324(f324(f3(f928(x44432,a916)),f324(f324(f40(x44431,f928(x44432,a916)),x44433),x44434)),x44435)) % 194.45/194.25 [4444]E(f324(f324(f40(x44441,f928(x44442,a916)),x44443),f324(f324(f9(x44441,f928(x44442,a916),f928(x44442,a916)),f324(f324(f10(f928(x44442,a916),f928(f928(x44442,a916),f928(x44442,a916)),x44441),f103(f928(x44442,a916))),x44444)),x44445)),f324(f324(f103(f928(x44442,a916)),f324(f324(f40(x44441,f928(x44442,a916)),x44443),x44444)),x44445)) % 194.45/194.25 [4448]E(f324(f324(f39(x44481,f928(x44482,a916)),x44483),f324(f324(f20(x44481,f928(x44482,a916),f928(x44482,a916)),f324(f324(f10(f928(x44482,a916),f928(f928(x44482,a916),f928(x44482,a916)),x44481),f103(f928(x44482,a916))),x44484)),x44485)),f324(f324(f103(f928(x44482,a916)),f324(f324(f39(x44481,f928(x44482,a916)),x44483),x44484)),f324(f324(f39(x44481,f928(x44482,a916)),x44483),x44485))) % 194.45/194.26 [4449]E(f324(f324(f40(x44491,f928(x44492,a916)),x44493),f324(f324(f20(x44491,f928(x44492,a916),f928(x44492,a916)),f324(f324(f10(f928(x44492,a916),f928(f928(x44492,a916),f928(x44492,a916)),x44491),f112(f928(x44492,a916))),x44494)),x44495)),f324(f324(f112(f928(x44492,a916)),f324(f324(f40(x44491,f928(x44492,a916)),x44493),x44494)),f324(f324(f40(x44491,f928(x44492,a916)),x44493),x44495))) % 194.45/194.26 [4462]E(f324(f324(f39(x44621,f928(x44622,a916)),x44623),f324(f324(f20(x44621,f928(x44622,a916),f928(x44622,a916)),f324(f324(f10(f928(x44622,a916),f928(f928(x44622,a916),f928(x44622,a916)),x44621),f103(f928(x44622,a916))),x44624)),x44625)),f324(f324(f103(f928(x44622,a916)),f38(f928(x44622,a916),f324(f307(x44621,f928(x44622,a916),x44624),x44623))),f38(f928(x44622,a916),f324(f307(x44621,f928(x44622,a916),x44625),x44623)))) % 194.45/194.26 [4463]E(f324(f324(f40(x44631,f928(x44632,a916)),x44633),f324(f324(f20(x44631,f928(x44632,a916),f928(x44632,a916)),f324(f324(f10(f928(x44632,a916),f928(f928(x44632,a916),f928(x44632,a916)),x44631),f112(f928(x44632,a916))),x44634)),x44635)),f324(f324(f112(f928(x44632,a916)),f37(f928(x44632,a916),f324(f307(x44631,f928(x44632,a916),x44634),x44633))),f37(f928(x44632,a916),f324(f307(x44631,f928(x44632,a916),x44635),x44633)))) % 194.45/194.26 [4499]E(f324(f324(f138(x44991),f324(f190(f921(x44991)),f177(x44991,x44992,f324(f324(f154(x44993,x44991),x44994),x44995)))),f324(f324(f154(x44993,x44991),x44994),x44995)),f324(f324(f154(x44993,x44991),x44994),f324(f324(f138(x44993),f324(f190(f921(x44993)),f177(x44993,f324(f72(x44991,a916,x44993,x44992),x44994),x44995))),x44995))) % 194.45/194.26 [4375]E(f324(f324(f134(f927(x43751,x43752)),f324(f324(f181(x43751,x43752),f324(f324(f175(x43751),f324(f190(f921(x43752)),x43753)),x43754)),x43753)),f324(f324(f181(x43751,x43752),f324(f324(f138(x43751),f324(f190(f921(x43752)),x43753)),x43754)),x43755)),f324(f324(f181(x43751,x43752),x43754),f324(f324(f134(x43752),x43753),x43755))) % 194.45/194.26 [4490]E(f84(x44901,f324(f324(f20(x44901,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44901),a322),f324(f324(f9(x44901,f928(x44901,a916),a916),f326(x44901)),x44902))),f324(f324(f9(x44901,x44903,a916),f324(f324(f10(x44903,f928(x44903,a916),x44901),a321),x44904)),x44905))),f324(f76(x44901,x44903,x44902,x44904),x44905)) % 194.45/194.26 [4491]E(f89(x44911,f324(f324(f20(x44911,a916,a916),f324(f324(f10(a916,f928(a916,a916),x44911),a322),f324(f324(f9(x44911,f928(x44911,a916),a916),f326(x44911)),x44912))),f324(f324(f9(x44911,x44913,a916),f324(f324(f10(x44913,f928(x44913,a916),x44911),a321),x44914)),x44915))),f324(f91(x44911,x44913,x44912,x44914),x44915)) % 194.45/194.26 [4539]E(f324(f324(f85(a1,x45391),f324(f105(a1),f324(f324(f79(a1),x45392),a99))),f324(f324(f20(a1,x45391,x45391),f324(f324(f9(a1,x45391,f928(x45391,x45391)),f324(f324(f10(a916,f928(x45391,f928(x45391,x45391)),a1),f96(x45391)),a194)),f185(x45391,x45393,x45394,x45395))),f324(f324(f10(a920,x45391,a1),x45394),f324(f324(f9(a1,a920,a920),f324(f324(f10(a920,f928(a920,a920),a1),f79(a920)),a106)),x45395)))),f185(x45391,x45393,x45394,f324(f324(f79(a920),f324(f105(a920),x45392)),x45395))) % 194.45/194.26 [4574]E(f324(f324(f85(a1,x45741),f324(f105(a1),f324(f324(f79(a1),x45742),a99))),f324(f324(f20(a1,x45741,x45741),f324(f324(f9(a1,x45741,f928(x45741,x45741)),f324(f324(f10(a916,f928(x45741,f928(x45741,x45741)),a1),f96(x45741)),a194)),f324(f184(x45741,x45743,x45744),x45745))),f324(f324(f20(a1,x45741,x45741),f324(f324(f10(a920,f928(x45741,x45741),a1),x45744),f324(f324(f9(a1,a920,a920),f324(f324(f10(a920,f928(a920,a920),a1),f79(a920)),a106)),x45745))),f324(f324(f10(a920,x45741,a1),f184(x45741,x45743,x45744)),f324(f324(f9(a1,a920,a920),f324(f324(f10(a920,f928(a920,a920),a1),f79(a920)),a106)),x45745))))),f324(f184(x45741,x45743,x45744),f324(f324(f79(a920),f324(f105(a920),x45742)),x45745))) % 194.45/194.26 [4608]E(f324(f262(f927(x46081,x46082)),f324(f257(x46081,x46082,a916),f324(f324(f10(f928(x46082,f928(x46083,a916)),f928(x46082,a916),x46081),f324(f10(f928(x46083,a916),a916,x46082),f86(x46083))),f324(f324(f9(x46081,f928(x46082,f928(x46083,a916)),f928(x46082,f928(x46083,a916))),f324(f324(f10(f928(f928(x46083,a916),f928(x46083,a916)),f928(f928(x46082,f928(x46083,a916)),f928(x46082,f928(x46083,a916))),x46081),f10(f928(x46083,a916),f928(x46083,a916),x46082)),f324(f324(f10(f928(x46083,f928(a916,a916)),f928(f928(x46083,a916),f928(x46083,a916)),x46081),f20(x46083,a916,a916)),f324(f324(f10(f928(x46083,a916),f928(x46083,f928(a916,a916)),x46081),f324(f10(a916,f928(a916,a916),x46083),a322)),f324(f324(f9(x46081,f928(f927(x46081,x46083),a916),f928(x46083,a916)),f324(f324(f10(f928(x46083,f928(f928(f927(x46081,x46083),a916),a916)),f928(f928(f927(x46081,x46083),a916),f928(x46083,a916)),x46081),f9(x46083,f928(f927(x46081,x46083),a916),a916)),f324(f324(f10(f928(x46083,f927(x46081,x46083)),f928(x46083,f928(f928(f927(x46081,x46083),a916),a916)),x46081),f324(f10(f927(x46081,x46083),f928(f928(f927(x46081,x46083),a916),a916),x46083),f326(f927(x46081,x46083)))),f252(x46081,x46083)))),x46084))))),f324(f324(f9(x46082,f928(f927(x46083,x46082),a916),f928(x46083,a916)),f324(f324(f10(f928(x46083,f928(f928(f927(x46083,x46082),a916),a916)),f928(f928(f927(x46083,x46082),a916),f928(x46083,a916)),x46082),f9(x46083,f928(f927(x46083,x46082),a916),a916)),f324(f324(f10(f928(x46083,f927(x46083,x46082)),f928(x46083,f928(f928(f927(x46083,x46082),a916),a916)),x46082),f324(f10(f927(x46083,x46082),f928(f928(f927(x46083,x46082),a916),a916),x46083),f326(f927(x46083,x46082)))),f324(f9(x46083,x46082,f927(x46083,x46082)),f252(x46083,x46082))))),x46085))))),f324(f324(f286(x46081,x46083,x46082),x46084),x46085)) % 194.45/194.26 [4673]~E(f26(x46731,x46732,x46733),f27(x46734,x46735,x46736)) % 194.45/194.26 [4225]E(f225(x42251,x42252,x42253,x42254,f221(x42251,x42252,x42255,x42256)),f324(f324(x42254,x42255),x42256)) % 194.45/194.26 [4226]E(f226(x42261,x42262,x42263,x42264,f221(x42261,x42262,x42265,x42266)),f324(f324(x42264,x42265),x42266)) % 194.45/194.26 [4351]E(f128(x43511,x43512,x43513,x43514,f127(x43512,x43515,x43516)),f324(f324(f324(x43514,x43515),x43516),f128(x43511,x43512,x43513,x43514,x43516))) % 194.45/194.26 [4370]E(f74(x43701,x43702,f74(x43701,x43702,x43703,x43704,x43705),x43704,x43706),f74(x43701,x43702,x43703,x43704,x43706)) % 194.45/194.26 [4478]E(f324(f72(f927(x44781,x44782),x44782,f927(x44783,x44784),f256(x44781,x44782)),f258(x44783,x44781,x44784,x44782,x44785,x44786)),f324(f72(x44784,x44782,f927(x44783,x44784),x44786),f256(x44783,x44784))) % 194.45/194.26 [4479]E(f324(f72(f927(x44791,x44792),x44791,f927(x44793,x44794),f251(x44791,x44792)),f258(x44793,x44791,x44794,x44792,x44795,x44796)),f324(f72(x44793,x44791,f927(x44793,x44794),x44795),f251(x44793,x44794))) % 194.45/194.26 [4095]E(f324(f324(f72(x40951,x40952,x40953,x40954),x40955),x40956),f324(x40954,f324(x40955,x40956))) % 194.45/194.26 [4235]E(f224(x42351,f927(x42352,f922(x42352)),x42353,f324(f257(x42352,f922(x42352),x42351),x42354),f324(f135(x42352),f127(x42352,x42355,x42356))),f324(f324(x42354,x42355),x42356)) % 194.45/194.26 [4285]E(f227(x42851,x42852,x42853,x42854,f221(x42851,x42852,x42855,x42856)),f324(f324(f79(a920),f324(f324(f79(a920),f324(x42853,x42855)),f324(x42854,x42856))),f324(a114,f2(a920)))) % 194.45/194.26 [3895]E(f324(f324(f257(x38951,x38952,x38953),x38954),f324(f324(f252(x38951,x38952),x38955),x38956)),f324(f324(x38954,x38955),x38956)) % 194.45/194.26 [3955]E(f324(f324(f324(f10(x39551,x39552,x39553),x39554),x39555),x39556),f324(x39554,f324(x39555,x39556))) % 194.45/194.26 [3956]E(f324(f324(f324(f9(x39561,x39562,x39563),x39564),x39565),x39566),f324(f324(x39564,x39566),x39565)) % 194.45/194.26 [3974]E(f324(f324(f324(f20(x39741,x39742,x39743),x39744),x39745),x39746),f324(f324(x39744,x39746),f324(x39745,x39746))) % 194.45/194.26 [3996]E(f324(f156(x39961,x39962,x39963,x39964),f324(f324(f151(x39962),x39965),x39966)),f324(f324(x39964,x39965),x39966)) % 194.45/194.26 [4034]E(f169(f927(x40341,x40342),f324(f324(f188(a920),x40343),x40344),f324(f324(f252(x40341,x40342),x40345),x40346)),f324(f324(f181(x40341,x40342),f169(x40341,x40343,x40345)),f169(x40342,x40344,x40346))) % 194.45/194.26 [4099]E(f324(f324(f151(f927(x40991,x40992)),f324(f324(f252(x40991,x40992),x40993),x40994)),f324(f324(f181(x40991,x40992),x40995),x40996)),f324(f324(f181(x40991,x40992),f324(f324(f151(x40991),x40993),x40995)),f324(f324(f151(x40992),x40994),x40996))) % 194.45/194.26 [4100]E(f324(f324(f154(x41001,x41002),x41003),f324(f324(f159(x41001,x41004),x41005),x41006)),f324(f324(f159(x41002,f324(f324(f154(x41001,x41002),x41003),x41004)),x41005),f324(x41003,x41006))) % 194.45/194.26 [4124]E(f324(f324(f255(x41241,x41242,x41243,x41244),x41245),x41246),f324(x41244,f324(f324(f252(x41241,x41242),x41245),x41246))) % 194.45/194.26 [4142]E(f324(f142(x41421,x41422,x41423,x41424),f324(f324(f151(x41422),x41425),x41426)),f324(f142(x41421,x41422,x41423,f324(f324(x41423,x41424),x41425)),x41426)) % 194.45/194.26 [4168]E(f260(x41681,x41682,x41683,x41684,f324(f324(f252(x41681,x41682),x41685),x41686)),f324(f324(x41684,x41685),x41686)) % 194.45/194.26 [4249]E(f324(f324(f40(x42491,f928(x42492,a916)),x42493),f324(f72(x42494,f928(x42492,a916),x42491,x42495),x42496)),f324(f324(f40(x42494,f928(x42492,a916)),f324(f307(x42491,x42494,x42496),x42493)),x42495)) % 194.45/194.26 [4299]E(f324(f324(f154(x42991,x42992),x42993),f324(f324(f154(x42994,x42991),x42995),x42996)),f324(f324(f154(x42994,x42992),f324(f72(x42991,x42992,x42994,x42993),x42995)),x42996)) % 194.45/194.26 [4305]E(f324(f307(x43051,x43052,f324(f72(x43053,x43052,x43051,x43054),x43055)),x43056),f324(f307(x43053,x43052,x43054),f324(f307(x43051,x43053,x43055),x43056))) % 194.45/194.26 [4306]E(f324(f308(x43061,x43062,f324(f72(x43063,x43062,x43061,x43064),x43065)),x43066),f324(f308(x43061,x43063,x43065),f324(f308(x43063,x43062,x43064),x43066))) % 194.45/194.26 [4334]E(f324(f142(x43341,x43342,x43343,f324(f142(x43341,x43342,x43343,x43344),x43345)),x43346),f324(f142(x43341,x43342,x43343,x43344),f324(f324(f134(x43342),x43345),x43346))) % 194.45/194.26 [4468]E(f324(f258(x44681,x44681,x44682,x44683,f31(x44681),x44684),f324(f324(f252(x44681,x44682),x44685),x44686)),f324(f324(f252(x44681,x44683),x44685),f324(x44684,x44686))) % 194.45/194.26 [4469]E(f324(f258(x44691,x44692,x44693,x44693,x44694,f31(x44693)),f324(f324(f252(x44691,x44693),x44695),x44696)),f324(f324(f252(x44692,x44693),f324(x44694,x44695)),x44696)) % 194.45/194.26 [4557]E(f324(f324(f154(f927(x45571,x45572),f927(x45571,x45573)),f324(f257(x45571,x45572,f927(x45571,x45573)),f324(f324(f9(x45571,f928(x45572,x45573),f928(x45572,f927(x45571,x45573))),f324(f324(f10(f928(x45573,f927(x45571,x45573)),f928(f928(x45572,x45573),f928(x45572,f927(x45571,x45573))),x45571),f10(x45573,f927(x45571,x45573),x45572)),f252(x45571,x45573))),x45574))),f324(f324(f181(x45571,x45572),x45575),x45576)),f324(f324(f181(x45571,x45573),x45575),f324(f324(f154(x45572,x45573),x45574),x45576))) % 194.45/194.26 [3960]E(f94(x39601,x39602,x39603,f324(f324(f324(f90(x39601),x39604),x39605),x39606)),f324(f324(f324(x39603,x39604),x39605),x39606)) % 194.45/194.26 [3961]E(f95(x39611,x39612,x39613,f324(f324(f324(f90(x39611),x39614),x39615),x39616)),f324(f324(f324(x39613,x39614),x39615),x39616)) % 194.45/194.26 [4152]E(f324(f324(f72(x41521,x41522,x41523,f324(f18(x41522,x41521),x41524)),x41525),x41526),x41524) % 194.45/194.26 [4184]E(f324(f307(x41841,x41842,x41843),f324(f307(x41844,x41841,x41845),x41846)),f324(f307(x41844,x41842,f324(f324(f10(x41841,x41842,x41844),x41843),x41845)),x41846)) % 194.45/194.26 [4190]E(f324(f324(f39(x41901,f928(x41902,a916)),f324(f307(x41903,x41901,x41904),x41905)),x41906),f324(f324(f39(x41903,f928(x41902,a916)),x41905),f324(f324(f10(x41901,f928(x41902,a916),x41903),x41906),x41904))) % 194.45/194.26 [4191]E(f324(f324(f40(x41911,f928(x41912,a916)),f324(f307(x41913,x41911,x41914),x41915)),x41916),f324(f324(f40(x41913,f928(x41912,a916)),x41915),f324(f324(f10(x41911,f928(x41912,a916),x41913),x41916),x41914))) % 194.45/194.26 [4192]E(f324(f324(f39(x41921,f928(x41922,a916)),x41923),f324(f324(f10(x41924,f928(x41922,a916),x41921),x41925),x41926)),f324(f324(f39(x41924,f928(x41922,a916)),f324(f307(x41921,x41924,x41926),x41923)),x41925)) % 194.45/194.26 [4193]E(f324(f324(f40(x41931,f928(x41932,a916)),x41933),f324(f324(f10(x41934,f928(x41932,a916),x41931),x41935),x41936)),f324(f324(f40(x41934,f928(x41932,a916)),f324(f307(x41931,x41934,x41936),x41933)),x41935)) % 194.45/194.26 [4251]E(f324(f324(f40(x42511,f928(x42512,a916)),x42513),f324(f324(f10(f928(x42514,a916),f928(x42512,a916),x42511),f307(x42514,x42512,x42515)),x42516)),f324(f307(x42514,x42512,x42515),f324(f324(f40(x42511,f928(x42514,a916)),x42513),x42516))) % 194.45/194.26 [4252]E(f324(f324(f40(x42521,f928(x42522,a916)),x42523),f324(f324(f10(f928(x42524,a916),f928(x42522,a916),x42521),f283(x42524,x42522,x42525)),x42526)),f324(f283(x42524,x42522,x42525),f324(f324(f40(x42521,f928(x42524,a916)),x42523),x42526))) % 194.45/194.26 [4253]E(f324(f324(f39(x42531,f928(x42532,a916)),x42533),f324(f324(f10(f928(x42534,a916),f928(x42532,a916),x42531),f308(x42532,x42534,x42535)),x42536)),f324(f308(x42532,x42534,x42535),f324(f324(f39(x42531,f928(x42534,a916)),x42533),x42536))) % 194.45/194.26 [4254]E(f324(f324(f40(x42541,f928(x42542,a916)),x42543),f324(f324(f10(f928(x42544,a916),f928(x42542,a916),x42541),f308(x42542,x42544,x42545)),x42546)),f324(f308(x42542,x42544,x42545),f324(f324(f40(x42541,f928(x42544,a916)),x42543),x42546))) % 194.45/194.26 [4339]E(f324(f142(x43391,x43392,f324(f9(x43392,x43391,x43391),x43393),x43394),f324(f168(x43392),f324(f324(f151(x43392),x43395),x43396))),f324(f324(x43393,x43395),f324(f142(x43391,x43392,f324(f9(x43392,x43391,x43391),x43393),x43394),f324(f168(x43392),x43396)))) % 194.45/194.26 [4397]E(f324(f324(f20(f927(x43971,x43972),x43972,x43973),f324(f324(f10(x43974,f928(x43972,x43973),f927(x43971,x43972)),x43975),f324(f324(f10(x43971,x43974,f927(x43971,x43972)),x43976),f251(x43971,x43972)))),f256(x43971,x43972)),f324(f257(x43971,x43972,x43973),f324(f324(f10(x43974,f928(x43972,x43973),x43971),x43975),x43976))) % 194.45/194.26 [4404]E(f324(f142(x44041,x44042,f324(f9(x44042,x44041,x44041),x44043),f324(f142(x44041,x44042,f324(f9(x44042,x44041,x44041),x44043),x44044),f324(f168(x44042),x44045))),f324(f168(x44042),x44046)),f324(f142(x44041,x44042,f324(f9(x44042,x44041,x44041),x44043),x44044),f324(f168(x44042),f324(f324(f134(x44042),x44046),x44045)))) % 194.45/194.26 [4406]E(f324(f324(f154(f927(x44061,x44062),f927(x44063,x44062)),f324(f257(x44061,x44062,f927(x44063,x44062)),f324(f324(f10(x44063,f928(x44062,f927(x44063,x44062)),x44061),f252(x44063,x44062)),x44064))),f324(f324(f181(x44061,x44062),x44065),x44066)),f324(f324(f181(x44063,x44062),f324(f324(f154(x44061,x44063),x44064),x44065)),x44066)) % 194.45/194.26 [4451]P1(f324(f324(f234(f928(x44511,a916)),f324(f283(x44512,x44511,x44513),f324(f324(f39(x44514,f928(x44512,a916)),x44515),x44516))),f324(f324(f39(x44514,f928(x44511,a916)),x44515),f324(f324(f10(f928(x44512,a916),f928(x44511,a916),x44514),f283(x44512,x44511,x44513)),x44516)))) % 194.45/194.26 [4264]E(f324(f324(f181(x42641,x42642),f324(f324(f159(x42641,x42643),x42644),f324(f251(x42641,x42642),x42645))),f324(f324(f159(x42642,x42646),x42644),f324(f256(x42641,x42642),x42645))),f324(f324(f159(f927(x42641,x42642),f324(f324(f181(x42641,x42642),x42643),x42646)),x42644),x42645)) % 194.45/194.26 [4322]E(f324(f324(f112(f928(f927(x43221,x43222),a916)),f324(f324(f286(x43221,x43223,x43222),x43224),x43225)),f324(f324(f286(x43221,x43223,x43222),x43224),x43226)),f324(f324(f286(x43221,x43223,x43222),x43224),f324(f324(f112(f928(f927(x43223,x43222),a916)),x43225),x43226))) % 194.45/194.26 [4416]E(f324(f324(f306(f927(x44161,x44162)),f324(f324(f252(x44161,x44162),x44163),x44164)),f324(f324(f112(f928(f927(x44161,x44162),a916)),f324(f324(f254(x44161,x44162),x44165),f324(f18(f928(x44162,a916),x44161),f324(f324(f306(x44162),x44164),x44166)))),f324(f324(f254(x44161,x44162),f324(f324(f306(x44161),x44163),x44165)),f324(f18(f928(x44162,a916),x44161),x44166)))),f324(f324(f254(x44161,x44162),f324(f324(f306(x44161),x44163),x44165)),f324(f18(f928(x44162,a916),x44161),f324(f324(f306(x44162),x44164),x44166)))) % 194.45/194.26 [4495]E(f324(f324(f103(f928(x44951,a916)),f324(f308(x44951,x44952,f324(f72(f927(x44952,x44953),x44952,x44951,f251(x44952,x44953)),x44954)),x44955)),f324(f308(x44951,x44953,f324(f72(f927(x44952,x44953),x44953,x44951,f256(x44952,x44953)),x44954)),x44956)),f324(f308(x44951,f927(x44952,x44953),x44954),f324(f324(f254(x44952,x44953),x44955),f324(f18(f928(x44953,a916),x44952),x44956)))) % 194.45/194.26 [4345]E(f324(f324(f112(f928(f927(x43451,x43452),a916)),f324(f324(f286(x43451,x43453,x43452),x43454),x43455)),f324(f324(f286(x43451,x43453,x43452),x43456),x43455)),f324(f324(f286(x43451,x43453,x43452),f324(f324(f112(f928(f927(x43451,x43453),a916)),x43454),x43456)),x43455)) % 194.45/194.26 [4476]E(f324(f324(f39(x44761,f928(x44762,a916)),x44763),f324(f324(f9(x44761,f928(x44764,f928(x44762,a916)),f928(x44762,a916)),f324(f324(f10(f928(x44764,a916),f928(f928(x44764,f928(x44762,a916)),f928(x44762,a916)),x44761),f39(x44764,f928(x44762,a916))),x44765)),x44766)),f324(f324(f39(x44764,f928(x44762,a916)),f324(f324(f40(x44761,f928(x44764,a916)),x44763),x44765)),x44766)) % 194.45/194.26 [4477]E(f324(f324(f40(x44771,f928(x44772,a916)),x44773),f324(f324(f9(x44771,f928(x44774,f928(x44772,a916)),f928(x44772,a916)),f324(f324(f10(f928(x44774,a916),f928(f928(x44774,f928(x44772,a916)),f928(x44772,a916)),x44771),f40(x44774,f928(x44772,a916))),x44775)),x44776)),f324(f324(f40(x44774,f928(x44772,a916)),f324(f324(f40(x44771,f928(x44774,a916)),x44773),x44775)),x44776)) % 194.45/194.26 [4529]E(f324(f257(x45291,x45292,f927(x45293,x45294)),f324(f324(f9(x45291,f928(x45292,x45294),f928(x45292,f927(x45293,x45294))),f324(f324(f10(f928(x45294,f927(x45293,x45294)),f928(f928(x45292,x45294),f928(x45292,f927(x45293,x45294))),x45291),f10(x45294,f927(x45293,x45294),x45292)),f324(f324(f10(x45293,f928(x45294,f927(x45293,x45294)),x45291),f252(x45293,x45294)),x45295))),x45296)),f258(x45291,x45293,x45292,x45294,x45295,x45296)) % 194.45/194.26 [4552]E(f324(f307(x45521,x45522,f324(f324(f20(x45521,x45522,x45522),f324(f324(f20(x45521,x45522,f928(x45522,x45522)),f324(f324(f10(a916,f928(x45522,f928(x45522,x45522)),x45521),f96(x45522)),x45523)),x45524)),x45525)),x45526),f324(f324(f112(f928(x45522,a916)),f324(f307(x45521,x45522,x45524),f324(f324(f103(f928(x45521,a916)),x45526),f324(f262(x45521),x45523)))),f324(f307(x45521,x45522,x45525),f324(f324(f103(f928(x45521,a916)),x45526),f324(f262(x45521),f324(f324(f10(a916,a916,x45521),a319),x45523)))))) % 194.45/194.26 [4564]E(f324(f307(x45641,f927(x45642,x45643),f324(f324(f20(x45641,x45643,f927(x45642,x45643)),f324(f324(f10(x45642,f928(x45643,f927(x45642,x45643)),x45641),f252(x45642,x45643)),x45644)),x45645)),x45646),f324(f324(f254(x45642,x45643),f324(f307(x45641,x45642,x45644),x45646)),f324(f324(f10(f928(x45641,a916),f928(x45643,a916),x45642),f307(x45641,x45643,x45645)),f324(f324(f9(x45642,f928(x45641,a916),f928(x45641,a916)),f324(f324(f10(f928(x45641,a916),f928(f928(x45641,a916),f928(x45641,a916)),x45642),f103(f928(x45641,a916))),f324(f324(f10(f928(x45642,a916),f928(x45641,a916),x45642),f308(x45641,x45642,x45644)),f324(f324(f9(x45642,f928(x45642,a916),f928(x45642,a916)),f306(x45642)),f189(f928(x45642,a916)))))),x45646)))) % 194.45/194.26 [4589]E(f246(x45891,x45892,x45893,x45894,x45895,x45896),f324(x45894,f324(f262(x45891),f324(f324(f10(f928(f928(x45893,x45891),a916),a916,x45891),f86(f928(x45893,x45891))),f324(f324(f10(f928(f928(x45893,x45891),a916),f928(f928(x45893,x45891),a916),x45891),f324(f20(f928(x45893,x45891),a916,a916),f324(f324(f10(a916,f928(a916,a916),f928(x45893,x45891)),a322),f324(f324(f9(f928(x45893,x45891),f928(f928(x45893,x45891),a916),a916),f326(f928(x45893,x45891))),x45895)))),f324(f324(f9(x45891,f928(f928(x45893,x45891),x45891),f928(f928(x45893,x45891),a916)),f324(f324(f10(f928(x45891,a916),f928(f928(f928(x45893,x45891),x45891),f928(f928(x45893,x45891),a916)),x45891),f10(x45891,a916,f928(x45893,x45891))),a321)),f324(f324(f9(f928(x45893,x45891),x45893,x45891),f7(f928(x45893,x45891))),x45896))))))) % 194.45/194.26 [4378]E(f324(f72(x43781,x43782,x43783,x43784),f74(x43783,x43781,x43785,x43786,x43787)),f74(x43783,x43782,f324(f72(x43781,x43782,x43783,x43784),x43785),x43786,f324(x43784,x43787))) % 194.45/194.26 [4512]E(f324(f256(x45121,x45122),f324(f258(x45123,x45121,x45124,x45122,x45125,x45126),x45127)),f324(x45126,f324(f256(x45123,x45124),x45127))) % 194.45/194.26 [4513]E(f324(f251(x45131,x45132),f324(f258(x45133,x45131,x45134,x45132,x45135,x45136),x45137)),f324(x45135,f324(f251(x45133,x45134),x45137))) % 194.45/194.26 [4227]E(f324(f324(f181(x42271,x42272),f324(f324(f159(x42271,x42273),x42274),x42275)),f324(f324(f159(x42272,x42276),x42274),x42277)),f324(f324(f159(f927(x42271,x42272),f324(f324(f181(x42271,x42272),x42273),x42276)),x42274),f324(f324(f252(x42271,x42272),x42275),x42277))) % 194.45/194.26 [4294]E(f324(f324(f324(f259(x42941,x42942,x42943,x42944),x42945),x42946),x42947),f324(f324(f257(x42942,x42943,x42944),x42946),f324(x42945,x42947))) % 194.45/194.26 [4304]E(f324(f324(f324(f259(x43041,x43042,x43043,x43044),x43045),x43046),x43047),f324(f324(x43046,f324(f251(x43042,x43043),f324(x43045,x43047))),f324(f256(x43042,x43043),f324(x43045,x43047)))) % 194.45/194.26 [4356]E(f324(f72(x43561,x43562,x43563,x43564),f324(f72(x43565,x43561,x43563,x43566),x43567)),f324(f72(x43565,x43562,x43563,f324(f72(x43561,x43562,x43565,x43564),x43566)),x43567)) % 194.45/194.26 [4533]E(f324(f258(x45331,x45332,x45333,x45333,x45334,f31(x45333)),f324(f258(x45331,x45331,x45335,x45333,f31(x45331),x45336),x45337)),f324(f324(f252(x45332,x45333),f324(x45334,f324(f251(x45331,x45335),x45337))),f324(x45336,f324(f256(x45331,x45335),x45337)))) % 194.45/194.26 [4534]E(f324(f258(x45341,x45341,x45342,x45343,f31(x45341),x45344),f324(f258(x45345,x45341,x45342,x45342,x45346,f31(x45342)),x45347)),f324(f324(f252(x45341,x45343),f324(x45346,f324(f251(x45345,x45342),x45347))),f324(x45344,f324(f256(x45345,x45342),x45347)))) % 194.45/194.26 [4550]E(f324(f258(x45501,x45502,x45503,x45503,x45504,f31(x45503)),f324(f258(x45505,x45501,x45503,x45503,x45506,f31(x45503)),x45507)),f324(f258(x45505,x45502,x45503,x45503,f324(f72(x45501,x45502,x45505,x45504),x45506),f31(x45503)),x45507)) % 194.45/194.26 [4551]E(f324(f258(x45511,x45511,x45512,x45513,f31(x45511),x45514),f324(f258(x45511,x45511,x45515,x45512,f31(x45511),x45516),x45517)),f324(f258(x45511,x45511,x45515,x45513,f31(x45511),f324(f72(x45512,x45513,x45515,x45514),x45516)),x45517)) % 194.45/194.26 [4561]E(f324(f258(x45611,x45612,x45613,x45613,x45614,f31(x45613)),f324(f258(x45611,x45611,x45615,x45613,f31(x45611),x45616),x45617)),f324(f258(x45612,x45612,x45615,x45613,f31(x45612),x45616),f324(f258(x45611,x45612,x45615,x45615,x45614,f31(x45615)),x45617))) % 194.45/194.26 [4261]E(f324(f324(f286(x42611,x42612,x42613),f324(f324(f286(x42611,x42614,x42612),x42615),x42616)),x42617),f324(f324(f286(x42611,x42614,x42613),x42615),f324(f324(f286(x42614,x42612,x42613),x42616),x42617))) % 194.45/194.26 [4328]E(f324(f324(f257(x43281,x43282,x43283),f324(f72(x43284,f928(x43282,x43283),x43281,x43285),x43286)),x43287),f324(f324(x43285,f324(x43286,f324(f251(x43281,x43282),x43287))),f324(f256(x43281,x43282),x43287))) % 194.45/194.26 [4409]E(f324(f142(x44091,x44092,f324(f9(x44092,x44091,x44091),x44093),x44094),f324(f168(x44092),f324(f324(f154(x44095,x44092),x44096),x44097))),f324(f142(x44091,x44095,f324(f9(x44095,x44091,x44091),f324(f72(x44092,f928(x44091,x44091),x44095,x44093),x44096)),x44094),f324(f168(x44095),x44097))) % 194.45/194.26 [4357]E(f324(f324(f40(x43571,f928(f927(x43572,x43573),a916)),x43574),f324(f324(f10(f928(f927(x43575,x43573),a916),f928(f927(x43572,x43573),a916),x43571),f324(f286(x43572,x43575,x43573),x43576)),x43577)),f324(f324(f286(x43572,x43575,x43573),x43576),f324(f324(f40(x43571,f928(f927(x43575,x43573),a916)),x43574),x43577))) % 194.45/194.26 [4500]E(f324(f324(f40(x45001,f928(f927(x45002,x45003),a916)),x45004),f324(f324(f9(x45001,f928(f927(x45005,x45003),a916),f928(f927(x45002,x45003),a916)),f324(f324(f10(f928(f927(x45002,x45005),a916),f928(f928(f927(x45005,x45003),a916),f928(f927(x45002,x45003),a916)),x45001),f286(x45002,x45005,x45003)),x45006)),x45007)),f324(f324(f286(x45002,x45005,x45003),f324(f324(f40(x45001,f928(f927(x45002,x45005),a916)),x45004),x45006)),x45007)) % 194.45/194.26 [4501]E(f324(f142(x45011,x45012,f324(f324(f9(x45011,f928(x45012,x45013),f928(x45012,x45011)),f324(f324(f10(f928(x45013,x45011),f928(f928(x45012,x45013),f928(x45012,x45011)),x45011),f10(x45013,x45011,x45012)),x45014)),x45015),x45016),x45017),f324(f142(x45011,x45013,x45014,x45016),f324(f324(f154(x45012,x45013),x45015),x45017))) % 194.45/194.26 [4562]E(f324(f324(f40(x45621,f928(x45622,a916)),x45623),f324(f324(f10(f928(x45624,f928(x45622,a916)),f928(x45622,a916),x45621),f324(f40(x45624,f928(x45622,a916)),x45625)),f324(f324(f9(x45621,f928(x45624,f928(x45622,a916)),f928(x45624,f928(x45622,a916))),f324(f324(f10(f928(f928(x45622,a916),f928(x45622,a916)),f928(f928(x45624,f928(x45622,a916)),f928(x45624,f928(x45622,a916))),x45621),f10(f928(x45622,a916),f928(x45622,a916),x45624)),f324(f324(f10(f928(x45622,a916),f928(f928(x45622,a916),f928(x45622,a916)),x45621),f103(f928(x45622,a916))),x45626))),x45627))),f324(f324(f103(f928(x45622,a916)),f324(f324(f40(x45621,f928(x45622,a916)),x45623),x45626)),f324(f324(f40(x45624,f928(x45622,a916)),x45625),x45627))) % 194.45/194.26 [4563]E(f324(f324(f39(x45631,f928(x45632,a916)),x45633),f324(f324(f10(f928(x45634,f928(x45632,a916)),f928(x45632,a916),x45631),f324(f39(x45634,f928(x45632,a916)),x45635)),f324(f324(f9(x45631,f928(x45634,f928(x45632,a916)),f928(x45634,f928(x45632,a916))),f324(f324(f10(f928(f928(x45632,a916),f928(x45632,a916)),f928(f928(x45634,f928(x45632,a916)),f928(x45634,f928(x45632,a916))),x45631),f10(f928(x45632,a916),f928(x45632,a916),x45634)),f324(f324(f10(f928(x45632,a916),f928(f928(x45632,a916),f928(x45632,a916)),x45631),f112(f928(x45632,a916))),x45636))),x45637))),f324(f324(f112(f928(x45632,a916)),f324(f324(f39(x45631,f928(x45632,a916)),x45633),x45636)),f324(f324(f39(x45634,f928(x45632,a916)),x45635),x45637))) % 194.45/194.26 [4555]E(f198(x45551,x45552,f324(f324(f324(x45553,x45554),x45555),x45556),f324(f324(f9(x45551,f927(a101,a101),f928(a101,f922(x45552))),f324(f324(f9(x45551,a101,f928(f927(a101,a101),f928(a101,f922(x45552)))),f324(f324(f9(x45551,a101,f928(a101,f928(f927(a101,a101),f928(a101,f922(x45552))))),x45557),x45554)),x45555)),x45556)),f324(f324(f324(f210(x45551,x45552,x45553,x45557),x45554),x45555),x45556)) % 194.45/194.26 [4569]E(f199(x45691,x45692,f324(f324(f324(x45693,x45694),x45695),x45696),f324(f324(f9(x45691,f927(a101,a101),f928(a101,f922(x45692))),f324(f324(f9(x45691,a101,f928(f927(a101,a101),f928(a101,f922(x45692)))),f324(f324(f9(x45691,a101,f928(a101,f928(f927(a101,a101),f928(a101,f922(x45692))))),x45697),x45694)),x45695)),x45696)),f212(x45691,x45692,x45693,x45697,x45694,x45695,x45696)) % 194.45/194.26 [4560]E(f196(x45601,x45602,f324(f324(f324(x45603,x45604),x45605),x45606),f324(f324(f9(x45601,f927(a101,a101),f928(a101,f922(f924(x45602)))),f324(f324(f9(x45601,a101,f928(f927(a101,a101),f928(a101,f922(f924(x45602))))),f324(f324(f9(x45601,a101,f928(a101,f928(f927(a101,a101),f928(a101,f922(f924(x45602)))))),x45607),x45604)),x45605)),x45606)),f324(f324(f324(f206(x45601,x45602,x45603,x45607),x45604),x45605),x45606)) % 194.45/194.26 [4571]E(f197(x45711,x45712,f324(f324(f324(x45713,x45714),x45715),x45716),f324(f324(f9(x45711,f927(a101,a101),f928(a101,f922(f924(x45712)))),f324(f324(f9(x45711,a101,f928(f927(a101,a101),f928(a101,f922(f924(x45712))))),f324(f324(f9(x45711,a101,f928(a101,f928(f927(a101,a101),f928(a101,f922(f924(x45712)))))),x45717),x45714)),x45715)),x45716)),f208(x45711,x45712,x45713,x45717,x45714,x45715,x45716)) % 194.45/194.26 [4470]E(f324(f258(x44701,x44702,x44703,x44704,x44705,x44706),f324(f324(f252(x44701,x44703),x44707),x44708)),f324(f324(f252(x44702,x44704),f324(x44705,x44707)),f324(x44706,x44708))) % 194.45/194.26 [4573]E(f324(f324(f154(f927(x45731,x45732),f927(x45733,x45734)),f324(f257(x45731,x45732,f927(x45733,x45734)),f324(f324(f9(x45731,f928(x45732,x45734),f928(x45732,f927(x45733,x45734))),f324(f324(f10(f928(x45734,f927(x45733,x45734)),f928(f928(x45732,x45734),f928(x45732,f927(x45733,x45734))),x45731),f10(x45734,f927(x45733,x45734),x45732)),f324(f324(f10(x45733,f928(x45734,f927(x45733,x45734)),x45731),f252(x45733,x45734)),x45735))),x45736))),f324(f324(f181(x45731,x45732),x45737),x45738)),f324(f324(f181(x45733,x45734),f324(f324(f154(x45731,x45733),x45735),x45737)),f324(f324(f154(x45732,x45734),x45736),x45738))) % 194.45/194.26 [4576]E(f324(f324(f154(f927(x45761,x45762),x45763),f324(f257(x45761,x45762,x45763),f324(f324(f10(f928(x45762,f927(x45761,x45764)),f928(x45762,x45763),x45761),f324(f10(f927(x45761,x45764),x45763,x45762),x45765)),f324(f324(f9(x45761,f928(x45762,x45764),f928(x45762,f927(x45761,x45764))),f324(f324(f10(f928(x45764,f927(x45761,x45764)),f928(f928(x45762,x45764),f928(x45762,f927(x45761,x45764))),x45761),f10(x45764,f927(x45761,x45764),x45762)),f252(x45761,x45764))),x45766)))),f324(f324(f181(x45761,x45762),x45767),x45768)),f324(f324(f154(f927(x45761,x45764),x45763),x45765),f324(f324(f181(x45761,x45764),x45767),f324(f324(f154(x45762,x45764),x45766),x45768)))) % 194.45/194.26 [4504]E(f324(f324(f154(f927(x45041,x45042),x45043),f324(f257(x45041,x45042,x45043),f324(f324(f10(f928(x45042,f927(x45044,x45042)),f928(x45042,x45043),x45041),f324(f10(f927(x45044,x45042),x45043,x45042),x45045)),f324(f324(f10(x45044,f928(x45042,f927(x45044,x45042)),x45041),f252(x45044,x45042)),x45046)))),f324(f324(f181(x45041,x45042),x45047),x45048)),f324(f324(f154(f927(x45044,x45042),x45043),x45045),f324(f324(f181(x45044,x45042),f324(f324(f154(x45041,x45044),x45046),x45047)),x45048))) % 194.45/194.26 [4461]E(f324(f324(f257(x44611,x44612,x44613),f324(f324(f10(f928(x44612,f927(x44614,x44615)),f928(x44612,x44613),x44611),f324(f10(f927(x44614,x44615),x44613,x44612),f324(f257(x44614,x44615,x44613),x44616))),x44617)),x44618),f324(f324(f257(x44614,x44615,x44613),x44616),f324(f324(f257(x44611,x44612,f927(x44614,x44615)),x44617),x44618))) % 194.45/194.26 [4577]E(f324(f324(f40(f927(x45771,x45772),f928(f927(x45773,x45774),a916)),f324(f324(f254(x45771,x45772),x45775),f324(f18(f928(x45772,a916),x45771),x45776))),f324(f257(x45771,x45772,f928(f927(x45773,x45774),a916)),f324(f324(f9(x45771,f928(x45772,f928(x45773,f928(x45774,a916))),f928(x45772,f928(f927(x45773,x45774),a916))),f324(f324(f10(f928(f928(x45773,f928(x45774,a916)),f928(f927(x45773,x45774),a916)),f928(f928(x45772,f928(x45773,f928(x45774,a916))),f928(x45772,f928(f927(x45773,x45774),a916))),x45771),f10(f928(x45773,f928(x45774,a916)),f928(f927(x45773,x45774),a916),x45772)),f324(f324(f10(f928(x45773,a916),f928(f928(x45773,f928(x45774,a916)),f928(f927(x45773,x45774),a916)),x45771),f254(x45773,x45774)),x45777))),f324(f324(f10(f928(x45774,a916),f928(x45773,f928(x45774,a916)),x45772),f18(f928(x45774,a916),x45773)),x45778)))),f324(f324(f254(x45773,x45774),f324(f324(f40(x45771,f928(x45773,a916)),x45775),x45777)),f324(f18(f928(x45774,a916),x45773),f324(f324(f40(x45772,f928(x45774,a916)),x45776),x45778)))) % 194.45/194.26 [4518]E(f324(f324(f259(x45181,x45182,x45183,x45184),f324(f324(f259(x45181,x45185,x45186,f927(x45182,x45183)),x45187),x45188)),x45189),f324(f324(f259(x45181,x45185,x45186,x45184),x45187),f324(f324(f9(x45185,f928(x45182,f928(x45183,x45184)),f928(x45186,x45184)),f324(f324(f10(f928(x45186,f927(x45182,x45183)),f928(f928(x45182,f928(x45183,x45184)),f928(x45186,x45184)),x45185),f259(x45186,x45182,x45183,x45184)),x45188)),x45189))) % 194.45/194.26 [4547]E(f324(f72(f927(x45471,x45472),f927(x45473,x45474),f927(x45475,x45476),f258(x45471,x45473,x45472,x45474,x45477,x45478)),f258(x45475,x45471,x45476,x45472,x45479,x454710)),f258(x45475,x45473,x45476,x45474,f324(f72(x45471,x45473,x45475,x45477),x45479),f324(f72(x45472,x45474,x45476,x45478),x454710))) % 194.45/194.26 [4553]E(f324(f258(x45531,x45532,x45533,x45534,x45535,x45536),f324(f258(x45537,x45531,x45538,x45533,x45539,x455310),x455311)),f324(f258(x45537,x45532,x45538,x45534,f324(f72(x45531,x45532,x45537,x45535),x45539),f324(f72(x45533,x45534,x45538,x45536),x455310)),x455311)) % 194.45/194.26 [4701]~P66(x47011)+P66(f924(x47011)) % 194.45/194.26 [4702]~P69(x47021)+P69(f924(x47021)) % 194.45/194.26 [4703]~P109(x47031)+P109(f921(x47031)) % 194.45/194.26 [4706]~P148(x47061)+~E(f77(x47061),f2(x47061)) % 194.45/194.26 [4708]~E(x47081,f2(a101))+E(f324(a24,x47081),f2(a1)) % 194.45/194.26 [4709]~E(x47091,f2(a1))+E(f81(a1,x47091),f2(a1)) % 194.45/194.26 [4715]~P114(x47151)+P27(x47151,f2(x47151)) % 194.45/194.26 [4717]~P112(x47171)+P10(x47171,f115(x47171)) % 194.45/194.26 [4726]P1(x47261)+P1(f324(a319,x47261)) % 194.45/194.26 [4780]~P114(x47801)+~P27(x47801,f77(x47801)) % 194.45/194.26 [4821]~P1(x48211)+~P1(f324(a319,x48211)) % 194.45/194.26 [4842]E(f324(a106,x48421),f2(a920))+~P1(f324(a194,x48421)) % 194.45/194.26 [4908]~P75(x49081)+P14(x49081,x49081,f80(x49081)) % 194.45/194.26 [4909]~P63(x49091)+P12(x49091,x49091,f103(x49091)) % 194.45/194.26 [4910]~P107(x49101)+P12(x49101,x49101,f112(x49101)) % 194.45/194.26 [4911]~P112(x49111)+P12(x49111,x49111,f188(x49111)) % 194.45/194.26 [4912]~P103(x49121)+P12(x49121,x49121,f80(x49121)) % 194.45/194.26 [4913]~P112(x49131)+P12(x49131,x49131,f233(x49131)) % 194.45/194.26 [4712]~E(x47121,f2(a920))+E(f324(f102(a1),x47121),f2(a1)) % 194.45/194.26 [4719]~P102(x47191)+E(f324(f105(x47191),a82),f2(x47191)) % 194.45/194.26 [4722]~E(f610(x47221),f2(a920))+E(f324(f165(a920),x47221),f2(a920)) % 194.45/194.26 [4723]~P111(x47231)+E(f236(x47231,f234(x47231)),f188(x47231)) % 194.45/194.26 [4724]~P111(x47241)+E(f237(x47241,f234(x47241)),f233(x47241)) % 194.45/194.26 [4725]~P97(x47251)+E(f81(x47251,f2(x47251)),f2(x47251)) % 194.45/194.26 [4734]~P114(x47341)+E(f324(f102(x47341),f77(a920)),f77(x47341)) % 194.45/194.26 [4735]~P114(x47351)+E(f324(f102(x47351),f2(a920)),f2(x47351)) % 194.45/194.26 [4736]~P144(x47361)+E(f324(f104(x47361),f77(a1)),f77(x47361)) % 194.45/194.26 [4737]~P144(x47371)+E(f324(f104(x47371),f2(a1)),f2(x47371)) % 194.45/194.26 [4738]E(x47381,f2(a920))+~E(f324(f102(a1),x47381),f2(a1)) % 194.45/194.26 [4774]~P90(x47741)+E(f324(f78(x47741),f189(x47741)),f242(x47741)) % 194.45/194.26 [4775]~P90(x47751)+E(f324(f78(x47751),f242(x47751)),f189(x47751)) % 194.45/194.26 [4776]~P74(x47761)+E(f324(f78(x47761),f2(x47761)),f2(x47761)) % 194.45/194.26 [4777]~P125(x47771)+E(f324(f75(x47771),f77(x47771)),f77(x47771)) % 194.45/194.26 [4778]~P95(x47781)+E(f324(f75(x47781),f2(x47781)),f2(x47781)) % 194.45/194.26 [4779]~P89(x47791)+E(f324(f165(x47791),f115(x47791)),f2(x47791)) % 194.45/194.26 [4797]~P34(x47971)+P39(f324(f172(a1),x47971)) % 194.45/194.26 [4826]~P102(x48261)+E(f324(f78(x48261),f77(x48261)),f324(f105(x48261),a99)) % 194.45/194.26 [4841]~P102(x48411)+P27(x48411,f324(f105(x48411),a82)) % 194.45/194.26 [4867]P34(x48671)+~P39(f324(f172(a1),x48671)) % 194.45/194.26 [4914]E(f324(f102(a1),f324(a106,x49141)),x49141)+P1(f324(a194,x49141)) % 194.45/194.26 [4984]~P119(x49841)+E(f245(x49841,f77(x49841),f80(x49841)),f244(x49841)) % 194.45/194.26 [5017]~P102(x50171)+~P27(x50171,f324(f105(x50171),a99)) % 194.45/194.26 [5165]E(f324(f75(a1),x51651),x51651)+P1(f324(f324(f235(a1),x51651),f2(a1))) % 194.45/194.26 [5183]~E(f324(a106,x51831),f2(a920))+P1(f324(f324(f234(a1),x51831),f2(a1))) % 194.45/194.26 [5251]~P1(f324(a194,x52511))+P1(f324(f324(f235(a1),x52511),f2(a1))) % 194.45/194.26 [5294]~P144(x52941)+P1(f324(f324(f326(x52941),f77(x52941)),f111(x52941))) % 194.45/194.26 [5295]~P114(x52951)+P1(f324(f324(f326(x52951),f77(x52951)),f186(x52951))) % 194.45/194.26 [5296]~P144(x52961)+P1(f324(f324(f326(x52961),f2(x52961)),f111(x52961))) % 194.45/194.26 [5297]~P114(x52971)+P1(f324(f324(f326(x52971),f2(x52971)),f186(x52971))) % 194.45/194.26 [5298]~P129(x52981)+P1(f324(f324(f234(x52981),f2(x52981)),f77(x52981))) % 194.45/194.26 [5299]~P129(x52991)+P1(f324(f324(f235(x52991),f2(x52991)),f77(x52991))) % 194.45/194.26 [5353]E(x53531,f2(a920))+~P1(f324(f324(f234(a920),x53531),f2(a920))) % 194.45/194.26 [5395]E(f324(a106,x53951),f2(a920))+~P1(f324(f324(f234(a1),x53951),f2(a1))) % 194.45/194.26 [5457]P1(f324(a194,x54571))+~P1(f324(f324(f235(a1),x54571),f2(a1))) % 194.45/194.26 [5464]~P112(x54641)+P14(x54641,f921(x54641),f148(x54641,x54641,f7(x54641))) % 194.45/194.26 [5482]P39(x54821)+~P1(f324(f324(f234(a1),f2(a1)),f330(x54821))) % 194.45/194.26 [5487]E(f324(f75(a1),x54871),f324(f78(a1),x54871))+~P1(f324(f324(f235(a1),x54871),f2(a1))) % 194.45/194.26 [5655]~P129(x56551)+~P1(f324(f324(f234(x56551),f77(x56551)),f2(x56551))) % 194.45/194.26 [5656]~P129(x56561)+~P1(f324(f324(f235(x56561),f77(x56561)),f2(x56561))) % 194.45/194.26 [5670]~E(x56701,f2(a920))+P1(f324(f324(f234(a1),f324(f102(a1),x56701)),f2(a1))) % 194.45/194.26 [5671]~E(x56711,f2(a1))+P1(f324(f324(f235(a1),f324(f75(a1),x56711)),f77(a1))) % 194.45/194.26 [5795]~P89(x57951)+E(f142(x57951,x57951,f79(x57951),f2(x57951)),f165(x57951)) % 194.45/194.26 [5970]~P108(x59701)+P22(a920,x59701,f102(x59701),f242(f928(a920,a916))) % 194.45/194.26 [6171]E(x61711,f2(a920))+~P1(f324(f324(f234(a1),f324(f102(a1),x61711)),f2(a1))) % 194.45/194.26 [6172]E(x61721,f2(a1))+~P1(f324(f324(f235(a1),f324(f75(a1),x61721)),f77(a1))) % 194.45/194.26 [6973]~P1(f324(f324(f235(a1),x69731),f2(a1)))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x69731),x69731)),f2(a1))) % 194.45/194.26 [7532]P1(f324(f324(f235(a1),x75321),f2(a1)))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),x75321),x75321)),f2(a1))) % 194.45/194.26 [8089]E(x80891,f324(a5,f2(a920)))+P1(f324(f324(f235(a920),f324(f324(f3(a920),f324(a22,x80891)),f324(a114,f2(a920)))),f324(a22,x80891))) % 194.45/194.26 [8860]~P1(f324(f324(f235(a1),x88601),f2(a1)))+P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x88601),x88601)),a99)),f2(a1))) % 194.45/194.26 [8957]~P1(f324(f324(f235(a1),x89571),f2(a1)))+P1(f324(f324(f235(a1),f324(f324(f79(a1),f324(f324(f79(a1),f77(a1)),x89571)),x89571)),f2(a1))) % 194.45/194.26 [9281]P1(f324(f324(f235(a1),x92811),f2(a1)))+~P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92811),x92811)),a99)),f2(a1))) % 194.45/194.26 [9355]P1(f324(f324(f235(a1),x93551),f2(a1)))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),f324(f324(f79(a1),f77(a1)),x93551)),x93551)),f2(a1))) % 194.45/194.26 [4815]~E(a82,x48151)+E(f324(f324(f79(a1),x48151),x48151),a82) % 194.45/194.26 [4816]~E(x48161,a82)+E(f324(f324(f79(a1),x48161),x48161),a82) % 194.45/194.26 [4827]E(x48271,f2(a1))+E(f324(f324(f36(a1),x48271),x48271),f77(a1)) % 194.45/194.26 [4961]E(x49611,a82)+~E(f324(f324(f79(a1),x49611),x49611),a82) % 194.45/194.26 [4962]E(a82,x49621)+~E(f324(f324(f79(a1),x49621),x49621),a82) % 194.45/194.26 [4974]~P2(x49741)+E(f37(x49741,f189(f928(x49741,a916))),f189(x49741)) % 194.45/194.26 [4975]~P2(x49751)+E(f37(x49751,f242(f928(x49751,a916))),f242(x49751)) % 194.45/194.26 [4976]~P2(x49761)+E(f38(x49761,f189(f928(x49761,a916))),f242(x49761)) % 194.45/194.26 [4977]~P2(x49771)+E(f38(x49771,f242(f928(x49771,a916))),f189(x49771)) % 194.45/194.26 [4978]~P112(x49781)+E(f139(x49781,f189(f928(x49781,a916))),f115(x49781)) % 194.45/194.26 [5121]E(x51211,f2(a920))+P1(f324(f324(f235(a920),f2(a920)),x51211)) % 194.45/194.26 [5140]~P3(x51401)+P1(f324(f324(f234(a1),f2(a1)),x51401)) % 194.45/194.26 [5174]~E(f324(f105(a920),x51741),f2(a920))+P1(f324(f324(f234(a1),x51741),a82)) % 194.45/194.26 [5179]P39(x51791)+P1(f324(f324(f326(a1),f330(x51791)),x51791)) % 194.45/194.26 [5180]E(x51801,f324(a5,f2(a920)))+P1(f324(f324(f234(a101),f77(a101)),x51801)) % 194.45/194.26 [5222]P1(f324(a194,x52221))+P1(f324(f324(f234(a1),f2(a1)),x52221)) % 194.45/194.26 [5276]E(f324(f102(a1),f324(a106,x52761)),f2(a1))+P1(f324(f324(f234(a1),f2(a1)),x52761)) % 194.45/194.26 [5334]E(f324(f102(a1),f324(f105(a920),x53341)),f324(f105(a1),x53341))+P1(f324(a194,f324(f105(a1),x53341))) % 194.45/194.26 [5359]E(f324(f105(a920),x53591),f2(a920))+~P1(f324(a194,f324(f105(a1),x53591))) % 194.45/194.26 [5360]E(f324(f105(a920),x53601),f2(a920))+~P1(f324(f324(f234(a1),x53601),a82)) % 194.45/194.26 [5392]P3(x53921)+~P1(f324(f324(f234(a1),f2(a1)),x53921)) % 194.45/194.26 [5467]E(f324(a114,f860(x54671)),x54671)+~P1(f324(f324(f235(a920),f2(a920)),x54671)) % 194.45/194.26 [5476]E(f324(a114,f324(f105(a920),x54761)),f77(a920))+~P1(f324(a194,f324(f105(a1),x54761))) % 194.45/194.26 [5483]E(f324(f102(a1),f390(x54831)),x54831)+~P1(f324(f324(f235(a1),f2(a1)),x54831)) % 194.45/194.26 [5490]~E(x54901,f324(a5,f2(a920)))+~P1(f324(f324(f234(a101),f77(a101)),x54901)) % 194.45/194.26 [5497]E(f324(f102(a1),f324(f105(a920),x54971)),f2(a1))+~P1(f324(a194,f324(f105(a1),x54971))) % 194.45/194.26 [5522]E(f324(f165(a920),x55221),f2(a920))+P1(f324(f324(f326(a920),f610(x55221)),f324(f172(a920),x55221))) % 194.45/194.26 [5542]E(f324(f102(a1),f324(a106,x55421)),x55421)+~P1(f324(f324(f234(a1),f2(a1)),x55421)) % 194.45/194.26 [5550]~P1(f324(a194,x55501))+~P1(f324(f324(f234(a1),f2(a1)),x55501)) % 194.45/194.26 [5648]E(f324(f324(f79(a920),f77(a920)),f324(f105(a920),x56481)),f77(a920))+~P1(f324(f324(f235(a1),x56481),a82)) % 194.45/194.26 [5713]E(x57131,f2(a920))+~P1(f324(f324(f235(a920),x57131),f324(a114,f2(a920)))) % 194.45/194.26 [5753]E(f324(f324(f3(a920),f324(f105(a920),x57531)),f77(a920)),f2(a920))+~P1(f324(f324(f234(a1),x57531),a82)) % 194.45/194.26 [5754]E(f324(f324(f79(a920),f324(f105(a920),x57541)),f77(a920)),f77(a920))+~P1(f324(f324(f235(a1),x57541),a82)) % 194.45/194.26 [5766]~P39(x57661)+E(f324(f35(a920),f324(f307(a1,a920,a106),x57661)),f324(f35(a1),x57661)) % 194.45/194.26 [5796]~P112(x57961)+E(f236(x57961,f324(f9(x57961,x57961,a916),f234(x57961))),f233(x57961)) % 194.45/194.26 [5797]~P112(x57971)+E(f237(x57971,f324(f9(x57971,x57971,a916),f234(x57971))),f188(x57971)) % 194.45/194.26 [5807]E(f45(a920,f324(a114,f2(a920)),f324(f105(a920),x58071)),f324(a114,f2(a920)))+~P1(f324(a194,f324(f105(a1),x58071))) % 194.45/194.26 [5816]~P1(f324(f324(f235(a1),f2(a1)),x58161))+P1(f324(f324(f234(a1),f77(a1)),x58161)) % 194.45/194.26 [5817]P1(f324(f324(f235(a1),f2(a1)),x58171))+~P1(f324(f324(f234(a1),f77(a1)),x58171)) % 194.45/194.26 [5828]E(f324(a114,f324(f324(f3(a920),x58281),f77(a920))),x58281)+~P1(f324(f324(f235(a920),f2(a920)),x58281)) % 194.45/194.26 [5884]P1(f324(f324(f235(a920),f2(a920)),f390(x58841)))+~P1(f324(f324(f235(a1),f2(a1)),x58841)) % 194.45/194.26 [5943]E(f45(a1,f324(f105(a1),a99),x59431),f324(f324(f3(a1),x59431),f77(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x59431)) % 194.45/194.26 [5983]~P1(f324(f324(f235(a1),a82),x59831))+P1(f324(f324(f235(a920),f2(a920)),f324(f105(a920),x59831))) % 194.45/194.26 [5989]E(f324(a22,f837(x59891)),x59891)+~P1(f324(f324(f326(a920),x59891),f242(f928(a920,a916)))) % 194.45/194.26 [6037]P1(f324(f324(f235(a920),f2(a920)),f324(a106,x60371)))+~P1(f324(f324(f235(a1),f2(a1)),x60371)) % 194.45/194.26 [6085]~P1(f324(f324(f235(a920),f2(a920)),x60851))+P1(f324(f324(f235(a1),f2(a1)),f324(f102(a1),x60851))) % 194.45/194.26 [6120]~P1(f324(f324(f235(a920),f2(a920)),f324(a106,x61201)))+P1(f324(f324(f235(a1),f2(a1)),x61201)) % 194.45/194.26 [6139]~P39(x61391)+E(f324(f307(a920,a1,f102(a1)),f324(f307(a1,a920,a106),x61391)),x61391) % 194.45/194.26 [6152]P1(f324(f324(f235(a1),a82),x61521))+~P1(f324(f324(f235(a920),f2(a920)),f324(f105(a920),x61521))) % 194.45/194.26 [6210]P1(f324(f324(f235(a920),f2(a920)),x62101))+~P1(f324(f324(f235(a1),f2(a1)),f324(f102(a1),x62101))) % 194.45/194.26 [6326]E(f324(f307(a920,a1,f102(a1)),f324(f280(a920),f324(a106,x63261))),f324(f299(a1,f2(a1)),x63261))+~P1(f324(f324(f234(a1),f2(a1)),x63261)) % 194.45/194.26 [6343]~P129(x63431)+P1(f324(f324(f235(x63431),f2(x63431)),f324(f324(f79(x63431),f77(x63431)),f77(x63431)))) % 194.45/194.26 [6392]P1(f324(f324(f235(a920),f324(a114,f2(a920))),f324(a106,x63921)))+~P1(f324(f324(f235(a1),f77(a1)),x63921)) % 194.45/194.26 [6490]E(x64901,f2(a1))+P1(f324(f49(f2(a1),x64901),f324(f324(f252(a1,a1),f2(a1)),f2(a1)))) % 194.45/194.26 [6659]~P1(f324(f324(f235(a920),f324(a114,f2(a920))),f324(a106,x66591)))+P1(f324(f324(f235(a1),f77(a1)),x66591)) % 194.45/194.26 [7085]~P120(x70851)+P35(x70851,f324(f262(f927(x70851,x70851)),f324(f257(x70851,x70851,a916),f235(x70851)))) % 194.45/194.26 [5700]E(f324(f105(a920),f324(f324(f3(a1),x57001),a99)),f324(a114,f324(f105(a920),x57001)))+P1(f324(a194,f324(f105(a1),x57001))) % 194.45/194.26 [5716]~P34(x57161)+E(f324(f324(f154(a920,a1),f102(a1)),f324(f324(f154(a1,a920),a106),x57161)),x57161) % 194.45/194.26 [5730]P25(a915,a848,x57301)+~P1(f324(f324(f326(f919(a915)),x57301),a930)) % 194.45/194.26 [5834]E(f324(f78(a1),f324(f102(a1),f324(a114,f391(x58341)))),x58341)+~P1(f324(f324(f235(a1),x58341),f2(a1))) % 194.45/194.26 [5844]E(f324(f324(f79(a920),f77(a920)),f324(f105(a920),x58441)),f324(f105(a920),f324(f324(f3(a1),x58441),a99)))+P1(f324(f324(f235(a1),x58441),a82)) % 194.45/194.26 [5886]E(f324(f324(f36(a1),f324(f105(a1),a99)),x58861),f324(f105(a1),a99))+~P1(f324(f324(f235(a1),f2(a1)),x58861)) % 194.45/194.26 [5979]E(f324(f324(f3(a920),f324(f105(a920),x59791)),f77(a920)),f324(f105(a920),f324(f324(f79(a1),x59791),a99)))+P1(f324(f324(f234(a1),x59791),a82)) % 194.45/194.26 [5980]E(f324(f324(f79(a920),f324(f105(a920),x59801)),f77(a920)),f324(f105(a920),f324(f324(f3(a1),x59801),a99)))+P1(f324(f324(f235(a1),x59801),a82)) % 194.45/194.26 [6024]E(f324(a106,f324(f324(f79(a1),f77(a1)),x60241)),f324(a114,f324(a106,x60241)))+~P1(f324(f324(f234(a1),f2(a1)),x60241)) % 194.45/194.26 [6058]E(f324(a114,f324(f324(f3(a920),x60581),f324(a114,f2(a920)))),x60581)+~P1(f324(f324(f235(a920),f2(a920)),x60581)) % 194.45/194.26 [6276]E(f45(a920,f324(a114,f2(a920)),f324(f105(a920),x62761)),f324(a106,f45(a1,f77(a1),f324(f105(a1),x62761))))+P1(f324(a194,f324(f105(a1),x62761))) % 194.45/194.26 [6319]~P1(f324(f324(f234(a1),a82),x63191))+P1(f324(f324(f234(a1),a82),f324(f324(f79(a1),x63191),x63191))) % 194.45/194.26 [6320]~P1(f324(f324(f235(a1),a99),x63201))+P1(f324(f324(f234(a1),a99),f324(f324(f79(a1),x63201),x63201))) % 194.45/194.26 [6321]~P1(f324(f324(f235(a1),a82),x63211))+P1(f324(f324(f235(a1),a82),f324(f324(f79(a1),x63211),x63211))) % 194.45/194.26 [6322]~P1(f324(f324(f235(a1),a99),x63221))+P1(f324(f324(f235(a1),a99),f324(f324(f79(a1),x63221),x63221))) % 194.45/194.26 [6503]~P1(f324(f61(x65031),f242(f928(x65031,a916))))+P1(f324(f61(f924(x65031)),f242(f928(f924(x65031),a916)))) % 194.45/194.26 [6592]~P1(f324(f324(f234(a1),f2(a1)),x65921))+P1(f324(f324(f235(a1),f2(a1)),f324(f324(f79(a1),f77(a1)),x65921))) % 194.45/194.26 [6599]E(f324(f251(a1,a1),f47(f77(a1),f324(f105(a1),x65991))),f324(f324(f36(a1),f77(a1)),f324(f105(a1),x65991)))+~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x65991))) % 194.45/194.26 [6619]E(f324(f256(a1,a1),f47(f77(a1),f324(f105(a1),x66191))),f45(a1,f77(a1),f324(f105(a1),x66191)))+~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x66191))) % 194.45/194.26 [6630]P1(f324(f61(x66301),f242(f928(x66301,a916))))+~P1(f324(f61(f924(x66301)),f242(f928(f924(x66301),a916)))) % 194.45/194.26 [6660]P1(f324(f324(f234(a1),a82),x66601))+~P1(f324(f324(f234(a1),a82),f324(f324(f79(a1),x66601),x66601))) % 194.45/194.26 [6661]P1(f324(f324(f235(a1),a82),x66611))+~P1(f324(f324(f235(a1),a82),f324(f324(f79(a1),x66611),x66611))) % 194.45/194.26 [6662]P1(f324(f324(f235(a1),a99),x66621))+~P1(f324(f324(f234(a1),a99),f324(f324(f79(a1),x66621),x66621))) % 194.45/194.26 [6663]P1(f324(f324(f235(a1),a99),x66631))+~P1(f324(f324(f235(a1),a99),f324(f324(f79(a1),x66631),x66631))) % 194.45/194.26 [6979]~P1(f324(f61(x69791),f242(f928(x69791,a916))))+P1(f324(f324(f235(a920),f2(a920)),f324(f35(x69791),f242(f928(x69791,a916))))) % 194.45/194.26 [7574]P1(f324(f61(a920),x75741))+~P1(f324(f61(a1),f324(f307(a920,a1,f102(a1)),x75741))) % 194.45/194.26 [5623]~E(a99,x56231)+E(f324(f324(f3(a1),f324(f324(f79(a1),x56231),x56231)),a99),a99) % 194.45/194.26 [5624]~E(x56241,a99)+E(f324(f324(f3(a1),f324(f324(f79(a1),x56241),x56241)),a99),a99) % 194.45/194.26 [6147]E(x61471,a99)+~E(f324(f324(f3(a1),f324(f324(f79(a1),x61471),x61471)),a99),a99) % 194.45/194.26 [6148]E(a99,x61481)+~E(f324(f324(f3(a1),f324(f324(f79(a1),x61481),x61481)),a99),a99) % 194.45/194.26 [6560]~E(f324(f105(a920),x65601),f2(a920))+P1(f324(a194,f324(f105(a1),f324(f324(f79(a1),x65601),a99)))) % 194.45/194.26 [6907]~P1(f324(a194,f324(f105(a1),x69071)))+P1(f324(a194,f324(f105(a1),f324(f324(f79(a1),x69071),x69071)))) % 194.45/194.26 [6908]~P1(f324(f324(f234(a1),x69081),a82))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x69081),x69081)),a82)) % 194.45/194.26 [6909]~P1(f324(f324(f234(a1),x69091),a99))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x69091),x69091)),a99)) % 194.45/194.26 [6910]~P1(f324(f324(f235(a1),x69101),a82))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x69101),x69101)),a82)) % 194.45/194.26 [6911]~P1(f324(f324(f234(a1),x69111),a99))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x69111),x69111)),a99)) % 194.45/194.26 [7231]E(f324(f105(a920),x72311),f2(a920))+~P1(f324(a194,f324(f105(a1),f324(f324(f79(a1),x72311),a99)))) % 194.45/194.26 [7486]~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x74861)))+P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),f324(f324(f79(a1),x74861),x74861)))) % 194.45/194.26 [7487]P1(f324(a194,f324(f105(a1),x74871)))+~P1(f324(a194,f324(f105(a1),f324(f324(f79(a1),x74871),x74871)))) % 194.45/194.26 [7488]P1(f324(f324(f234(a1),x74881),a82))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),x74881),x74881)),a82)) % 194.45/194.26 [7489]P1(f324(f324(f234(a1),x74891),a99))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),x74891),x74891)),a99)) % 194.45/194.26 [7490]P1(f324(f324(f234(a1),x74901),a99))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),x74901),x74901)),a99)) % 194.45/194.26 [7491]P1(f324(f324(f235(a1),x74911),a82))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),x74911),x74911)),a82)) % 194.45/194.26 [7853]E(f324(a108,f552(x78531)),x78531)+~P1(f324(f324(f326(f928(f927(a920,a920),a916)),x78531),a100)) % 194.45/194.26 [6476]~P102(x64761)+E(f324(f105(x64761),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f77(x64761)) % 194.45/194.26 [6957]~P1(f324(a194,f324(f105(a1),x69571)))+E(f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),x69571),x69571)),a99)),f2(a920)) % 194.45/194.26 [8033]~P1(f324(f324(f235(a1),f324(f105(a1),x80331)),f2(a1)))+E(f324(f251(a1,a1),f324(a51,f50(f324(f78(a1),f77(a1)),f324(f78(a1),f324(f105(a1),x80331))))),f324(f324(f36(a1),f77(a1)),f324(f105(a1),x80331))) % 194.45/194.26 [8046]~P1(f324(f324(f235(a1),f324(f105(a1),x80461)),f2(a1)))+E(f324(f256(a1,a1),f324(a51,f50(f324(f78(a1),f77(a1)),f324(f78(a1),f324(f105(a1),x80461))))),f45(a1,f77(a1),f324(f105(a1),x80461))) % 194.45/194.26 [8097]~P1(f324(f324(f234(a1),a82),x80971))+P1(f324(f324(f234(a1),a82),f324(f324(f3(a1),f324(f324(f79(a1),x80971),x80971)),a99))) % 194.45/194.26 [8098]~P1(f324(f324(f234(a1),a99),x80981))+P1(f324(f324(f234(a1),a99),f324(f324(f3(a1),f324(f324(f79(a1),x80981),x80981)),a99))) % 194.45/194.26 [8099]~P1(f324(f324(f234(a1),a82),x80991))+P1(f324(f324(f235(a1),a82),f324(f324(f3(a1),f324(f324(f79(a1),x80991),x80991)),a99))) % 194.45/194.26 [8100]~P1(f324(f324(f235(a1),a99),x81001))+P1(f324(f324(f235(a1),a99),f324(f324(f3(a1),f324(f324(f79(a1),x81001),x81001)),a99))) % 194.45/194.26 [8399]~P102(x83991)+~P27(x83991,f324(f105(x83991),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))) % 194.45/194.26 [8582]P1(f324(f324(f234(a1),a82),x85821))+~P1(f324(f324(f234(a1),a82),f324(f324(f3(a1),f324(f324(f79(a1),x85821),x85821)),a99))) % 194.45/194.26 [8583]P1(f324(f324(f234(a1),a82),x85831))+~P1(f324(f324(f235(a1),a82),f324(f324(f3(a1),f324(f324(f79(a1),x85831),x85831)),a99))) % 194.45/194.26 [8584]P1(f324(f324(f234(a1),a99),x85841))+~P1(f324(f324(f234(a1),a99),f324(f324(f3(a1),f324(f324(f79(a1),x85841),x85841)),a99))) % 194.45/194.26 [8585]P1(f324(f324(f235(a1),a99),x85851))+~P1(f324(f324(f235(a1),a99),f324(f324(f3(a1),f324(f324(f79(a1),x85851),x85851)),a99))) % 194.45/194.26 [8906]E(f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),x89061),x89061)),a99)),f324(f324(f85(a920,a920),f324(f105(a920),x89061)),f324(f324(f10(a920,a920,a920),a114),f324(f324(f20(a920,a920,a920),f79(a920)),f7(a920)))))+P1(f324(a194,f324(f105(a1),x89061))) % 194.45/194.26 [9783]E(x97831,f189(f928(f927(a920,a920),a916)))+P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x97831),f189(f928(f927(a920,a920),a916)))),a33)) % 194.45/194.26 [8834]~P1(f324(a194,f324(f105(a1),x88341)))+P1(f324(a194,f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),x88341),x88341)),a99)))) % 194.45/194.26 [8835]~P1(f324(f324(f235(a1),x88351),a82))+P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x88351),x88351)),a99)),a82)) % 194.45/194.26 [8836]~P1(f324(f324(f234(a1),x88361),a99))+P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x88361),x88361)),a99)),a99)) % 194.45/194.26 [8837]~P1(f324(f324(f235(a1),x88371),a82))+P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x88371),x88371)),a99)),a82)) % 194.45/194.26 [8838]~P1(f324(f324(f235(a1),x88381),a99))+P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x88381),x88381)),a99)),a99)) % 194.45/194.26 [8948]~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x89481)))+P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),x89481),x89481)),a99)))) % 194.45/194.26 [9109]~P102(x91091)+E(f324(f324(f79(x91091),f77(x91091)),f77(x91091)),f324(f105(x91091),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))) % 194.45/194.26 [9265]P1(f324(a194,f324(f105(a1),x92651)))+~P1(f324(a194,f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92651),x92651)),a99)))) % 194.45/194.26 [9266]P1(f324(f324(f234(a1),x92661),a99))+~P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92661),x92661)),a99)),a99)) % 194.45/194.26 [9267]P1(f324(f324(f235(a1),x92671),a82))+~P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92671),x92671)),a99)),a82)) % 194.45/194.26 [9268]P1(f324(f324(f235(a1),x92681),a82))+~P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92681),x92681)),a99)),a82)) % 194.45/194.26 [9269]P1(f324(f324(f235(a1),x92691),a99))+~P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92691),x92691)),a99)),a99)) % 194.45/194.26 [9828]~P1(f324(f61(f927(a920,a920)),x98281))+P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),x98281)),a69)) % 194.45/194.26 [9610]~P114(x96101)+E(f324(f324(f244(x96101),f77(x96101)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f77(x96101)) % 194.45/194.26 [9611]~P114(x96111)+E(f324(f324(f244(x96111),f2(x96111)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f2(x96111)) % 194.45/194.26 [10055]~P1(f324(f324(f235(a920),f77(a920)),x100551))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f36(a920),x100551),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.26 [10061]~P1(f324(f324(f235(a920),f2(a920)),x100611))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f36(a920),f324(f324(f79(a920),x100611),f77(a920))),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.26 [10101]~E(f45(a920,x101011,f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f77(a920))+P1(f324(f324(f235(a920),f2(a920)),f45(a920,x101011,f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.26 [10120]E(f45(a920,x101201,f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f77(a920))+~P1(f324(f324(f235(a920),f2(a920)),f45(a920,x101201,f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.26 [4743]~P4(x47431,x47432)+P48(x47431,x47432) % 194.45/194.26 [4744]~P35(x47441,x47442)+P58(x47441,x47442) % 194.45/194.26 [4745]~P43(x47451,x47452)+P58(x47451,x47452) % 194.45/194.26 [4747]~P4(x47471,x47472)+P50(x47471,x47472) % 194.45/194.26 [4749]~P13(x47491,x47492)+P50(x47491,x47492) % 194.45/194.26 [4751]~P4(x47511,x47512)+P51(x47511,x47512) % 194.45/194.26 [4753]~P13(x47531,x47532)+P51(x47531,x47532) % 194.45/194.26 [4754]~P4(x47541,x47542)+P13(x47541,x47542) % 194.45/194.26 [4704]~E(x47041,x47042)+E(f269(x47041,x47042),f77(a101)) % 194.45/194.26 [4707]E(f217(x47071,x47072),x47071)+~E(x47072,f2(a920)) % 194.45/194.26 [4714]~E(x47142,f115(x47141))+E(f152(x47141,x47142),f115(x47141)) % 194.45/194.26 [4733]~E(f152(x47332,x47331),f115(x47332))+E(x47331,f115(x47332)) % 194.45/194.26 [4758]~P2(x47582)+P2(f928(x47581,x47582)) % 194.45/194.26 [4759]~P61(x47592)+P61(f928(x47591,x47592)) % 194.45/194.26 [4760]~P62(x47602)+P62(f928(x47601,x47602)) % 194.45/194.26 [4761]~P111(x47612)+P111(f928(x47611,x47612)) % 194.45/194.26 [4762]~P113(x47622)+P113(f928(x47621,x47622)) % 194.45/194.26 [4763]~P115(x47632)+P115(f928(x47631,x47632)) % 194.45/194.26 [4764]~P105(x47642)+P63(f928(x47641,x47642)) % 194.45/194.26 [4765]~P64(x47652)+P64(f928(x47651,x47652)) % 194.45/194.26 [4766]~P104(x47662)+P84(f928(x47661,x47662)) % 194.45/194.26 [4767]~P104(x47672)+P85(f928(x47671,x47672)) % 194.45/194.26 [4768]~P105(x47682)+P105(f928(x47681,x47682)) % 194.45/194.26 [4769]~P90(x47692)+P90(f928(x47691,x47692)) % 194.45/194.26 [4770]~P105(x47702)+P107(f928(x47701,x47702)) % 194.45/194.26 [4771]~P91(x47712)+P91(f928(x47711,x47712)) % 194.45/194.26 [4772]~P106(x47722)+P106(f928(x47721,x47722)) % 194.45/194.26 [4773]~P104(x47732)+P104(f928(x47731,x47732)) % 194.45/194.26 [4786]E(x47861,x47862)+~E(f324(a114,x47861),f324(a114,x47862)) % 194.45/194.26 [4787]E(x47871,x47872)+~E(f324(a108,x47871),f324(a108,x47872)) % 194.45/194.26 [4788]E(x47881,x47882)+~E(f324(a5,x47881),f324(a5,x47882)) % 194.45/194.26 [4790]E(x47901,x47902)+~E(f324(a22,x47901),f324(a22,x47902)) % 194.45/194.26 [4843]P37(x48431,x48432)+~E(f735(x48432,x48431),f736(x48432,x48431)) % 194.45/194.26 [4873]~P58(x48731,x48732)+P37(x48731,f304(x48731,x48732)) % 194.45/194.26 [4874]~P52(x48741,x48742)+P52(x48741,f304(x48741,x48742)) % 194.45/194.26 [4887]~P67(x48871)+E(f45(x48871,x48872,x48872),f2(x48871)) % 194.45/194.26 [4921]~P35(x49211,x49212)+P35(f921(x49211),f146(x49211,x49212)) % 194.45/194.26 [4922]~P35(x49221,x49222)+P35(f921(x49221),f145(x49221,x49222)) % 194.45/194.26 [4923]~P36(x49231,x49232)+P36(f921(x49231),f147(x49231,x49232)) % 194.45/194.26 [4924]~P36(x49241,x49242)+P36(f921(x49241),f158(x49241,x49242)) % 194.45/194.26 [4925]~P52(x49251,x49252)+P52(f921(x49251),f158(x49251,x49252)) % 194.45/194.26 [5022]~P35(x50221,x50222)+P35(f928(x50221,a916),f315(x50221,x50222)) % 194.45/194.26 [5023]~P35(x50231,x50232)+P35(f928(x50231,a916),f316(x50231,x50232)) % 194.45/194.26 [5149]~P3(x51491)+P39(f300(a1,x51491,x51492)) % 194.45/194.26 [5254]~P35(x52541,x52542)+P60(x52541,f67(x52541,x52541,x52542)) % 194.45/194.26 [5760]~P86(x57601)+P22(x57601,x57601,f78(x57601),x57602) % 194.45/194.26 [4728]~E(x47282,f115(x47281))+E(f324(f167(x47281),x47282),f115(x47281)) % 194.45/194.26 [4729]~E(x47292,f115(x47291))+E(f324(f168(x47291),x47292),f115(x47291)) % 194.45/194.26 [4792]E(x47921,f324(a106,x47922))+~E(f324(f102(a1),x47921),x47922) % 194.45/194.26 [4795]E(x47951,f115(x47952))+~E(f324(f167(x47952),x47951),f115(x47952)) % 194.45/194.26 [4796]E(x47961,f115(x47962))+~E(f324(f168(x47962),x47961),f115(x47962)) % 194.45/194.26 [4812]~P102(x48121)+E(f324(f105(x48121),x48122),f324(f104(x48121),x48122)) % 194.45/194.26 [4820]~P66(x48201)+P1(f324(f61(x48201),x48202)) % 194.45/194.26 [4828]~E(f696(x48282,x48281),f115(x48281))+E(f179(x48281,x48282),f115(f921(x48281))) % 194.45/194.26 [4837]~E(x48372,f115(x48371))+E(f324(f172(x48371),x48372),f189(f928(x48371,a916))) % 194.45/194.26 [4838]~E(x48382,f115(x48381))+E(f189(f928(x48381,a916)),f324(f172(x48381),x48382)) % 194.45/194.26 [4840]E(x48401,x48402)+~E(f324(f102(a1),x48401),f324(f102(a1),x48402)) % 194.45/194.26 [4844]E(f215(x48441,x48442),f2(a920))+P1(f324(f61(x48441),x48442)) % 194.45/194.26 [4862]~P125(x48621)+E(f81(x48621,f81(x48621,x48622)),f81(x48621,x48622)) % 194.45/194.26 [4876]~P121(x48761)+E(f324(f324(f244(x48761),x48762),f77(a920)),x48762) % 194.45/194.26 [4877]~P88(x48771)+E(f324(f324(f244(x48771),x48772),f77(a920)),x48772) % 194.45/194.26 [4878]~P52(x48781,x48782)+E(f324(f284(x48781,x48781),x48782),x48782) % 194.45/194.26 [4882]E(x48821,x48822)+E(f269(x48821,x48822),f324(f324(f79(a101),x48822),f77(a101))) % 194.45/194.26 [4885]E(f324(f35(x48851),x48852),f2(a920))+P1(f324(f61(x48851),x48852)) % 194.45/194.26 [4888]~E(f152(x48881,x48882),x48882)+P1(f324(f137(x48881),x48882)) % 194.45/194.26 [4891]~P74(x48911)+E(f324(f324(f3(x48911),x48912),f2(x48911)),x48912) % 194.45/194.26 [4892]~P84(x48921)+E(f324(f324(f103(x48921),x48922),f242(x48921)),x48922) % 194.45/194.26 [4893]~P85(x48931)+E(f324(f324(f112(x48931),x48932),f189(x48931)),x48932) % 194.45/194.26 [4894]~P121(x48941)+E(f324(f324(f80(x48941),x48942),f77(x48941)),x48942) % 194.45/194.26 [4895]~P88(x48951)+E(f324(f324(f80(x48951),x48952),f77(x48951)),x48952) % 194.45/194.26 [4896]~P81(x48961)+E(f324(f324(f80(x48961),x48962),f77(x48961)),x48962) % 194.45/194.26 [4897]~P77(x48971)+E(f324(f324(f79(x48971),x48972),f2(x48971)),x48972) % 194.45/194.26 [4898]~P121(x48981)+E(f324(f324(f79(x48981),x48982),f2(x48981)),x48982) % 194.45/194.26 [4899]~P89(x48991)+E(f324(f324(f79(x48991),x48992),f2(x48991)),x48992) % 194.45/194.26 [4900]~P122(x49001)+E(f324(f324(f287(x49001),x49002),f77(x49001)),x49002) % 194.45/194.26 [4901]~P67(x49011)+E(f324(f324(f36(x49011),x49012),f77(x49011)),x49012) % 194.45/194.26 [4902]~P121(x49021)+E(f324(f324(f244(x49021),x49022),f2(a920)),f77(x49021)) % 194.45/194.26 [4903]~P119(x49031)+E(f324(f324(f244(x49031),x49032),f2(a920)),f77(x49031)) % 194.45/194.26 [4904]~E(x49042,f189(f928(x49041,a916)))+E(f324(f35(x49041),x49042),f2(a920)) % 194.45/194.26 [4915]~P67(x49151)+E(f45(x49151,x49152,f2(x49151)),x49152) % 194.45/194.26 [4926]~P85(x49261)+E(f324(f324(f103(x49261),x49262),f189(x49261)),f189(x49261)) % 194.45/194.26 [4927]~P84(x49271)+E(f324(f324(f112(x49271),x49272),f242(x49271)),f242(x49271)) % 194.45/194.26 [4928]~P121(x49281)+E(f324(f324(f80(x49281),x49282),f2(x49281)),f2(x49281)) % 194.45/194.26 [4929]~P136(x49291)+E(f324(f324(f80(x49291),x49292),f2(x49291)),f2(x49291)) % 194.45/194.26 [4930]~P123(x49301)+E(f324(f324(f287(x49301),x49302),f2(x49301)),f2(x49301)) % 194.45/194.26 [4931]~P67(x49311)+E(f324(f324(f36(x49311),x49312),f2(x49311)),f2(x49311)) % 194.45/194.26 [4933]~P67(x49331)+E(f45(x49331,x49332,f77(x49331)),f2(x49331)) % 194.45/194.26 [4934]~P67(x49341)+E(f45(x49341,f2(x49341),x49342),f2(x49341)) % 194.45/194.26 [4963]E(x49631,f2(a920))+E(f55(x49632,x49631,f115(x49632)),f115(f921(x49632))) % 194.45/194.26 [4986]P52(x49861,x49862)+~E(f324(f284(x49861,x49861),x49862),x49862) % 194.45/194.26 [4987]P35(x49871,x49872)+~E(f611(x49872,x49871),f189(f928(x49871,a916))) % 194.45/194.26 [4988]E(x49881,f115(x49882))+~E(f324(f172(x49882),x49881),f189(f928(x49882,a916))) % 194.45/194.26 [4989]E(x49891,f115(x49892))+~E(f189(f928(x49892,a916)),f324(f172(x49892),x49891)) % 194.45/194.26 [4992]~E(x49921,x49922)+P1(f324(f324(a321,x49921),x49922)) % 194.45/194.26 [5002]P1(x50021)+P1(f324(f324(a327,x50021),x50022)) % 194.45/194.26 [5003]E(x50031,f115(x50032))+E(f324(f324(f164(x50032),x50031),f2(a920)),f324(f141(x50032),x50031)) % 194.45/194.26 [5006]E(f152(x50061,x50062),x50062)+~P1(f324(f137(x50061),x50062)) % 194.45/194.26 [5013]~P1(x50132)+P1(f324(f324(a327,x50131),x50132)) % 194.45/194.26 [5014]~P1(x50142)+P1(f324(f324(a323,x50141),x50142)) % 194.45/194.26 [5015]~P1(x50151)+P1(f324(f324(a323,x50151),x50152)) % 194.45/194.26 [5025]~E(f697(x50252,x50251),f701(x50252,x50251))+P1(f324(f137(x50251),x50252)) % 194.45/194.26 [5032]E(f324(f262(x50321),x50322),f189(f928(x50321,a916)))+P1(f324(x50322,f568(x50322))) % 194.45/194.26 [5033]E(f189(f928(x50331,a916)),f324(f262(x50331),x50332))+P1(f324(x50332,f569(x50332))) % 194.45/194.26 [5103]~P125(x51031)+E(f324(f324(f80(x51031),x51032),f81(x51031,x51032)),f324(f75(x51031),x51032)) % 194.45/194.26 [5114]~E(x51141,f2(a1))+E(f46(x51141,x51142),f324(f324(f252(a1,a1),f2(a1)),f2(a1))) % 194.45/194.26 [5145]~P58(x51451,x51452)+P58(x51451,f324(f284(x51451,x51451),x51452)) % 194.45/194.26 [5146]~P36(x51461,x51462)+P36(x51461,f324(f284(x51461,x51461),x51462)) % 194.45/194.26 [5147]~P37(x51471,x51472)+P37(x51471,f324(f284(x51471,x51471),x51472)) % 194.45/194.26 [5148]~P52(x51481,x51482)+P52(x51481,f324(f284(x51481,x51481),x51482)) % 194.45/194.26 [5170]E(x51701,x51702)+~P1(f324(f324(a321,x51701),x51702)) % 194.45/194.26 [5181]P1(x51811)+~P1(f324(f324(a322,x51812),x51811)) % 194.45/194.26 [5182]P1(x51821)+~P1(f324(f324(a322,x51821),x51822)) % 194.45/194.26 [5187]~P115(x51871)+P1(f324(f324(f234(x51871),x51872),f242(x51871))) % 194.45/194.26 [5191]E(x51911,x51912)+~E(f324(x51911,f331(x51912,x51911)),f324(x51912,f331(x51912,x51911))) % 194.45/194.26 [5224]E(x52241,f2(a920))+E(f217(x52241,f45(a920,x52242,x52241)),f217(x52242,x52241)) % 194.45/194.26 [5229]~P112(x52291)+P10(x52291,f324(f324(f151(x52291),x52292),f115(x52291))) % 194.45/194.26 [5233]E(x52331,f2(a1))+P1(f324(f49(x52332,x52331),f46(x52332,x52331))) % 194.45/194.26 [5249]~P13(x52492,x52491)+P1(f324(f324(x52491,f830(x52491)),f830(x52491))) % 194.45/194.26 [5252]~E(x52521,x52522)+P1(f324(f324(f235(a920),x52521),f324(a114,x52522))) % 194.45/194.26 [5262]~E(x52621,f2(a920))+P1(f324(f324(f235(a920),x52621),f324(a114,x52622))) % 194.45/194.26 [5275]P1(f324(x52751,x52752))+P1(f324(f324(f234(a1),f2(a1)),f377(x52751))) % 194.45/194.26 [5339]E(f324(f324(f306(x53392),f812(x53392,x53391)),f824(x53392,x53391)),x53391)+E(x53391,f189(f928(x53392,a916))) % 194.45/194.26 [5340]P58(x53401,x53402)+~P58(x53401,f324(f284(x53401,x53401),x53402)) % 194.45/194.26 [5341]P36(x53411,x53412)+~P36(x53411,f324(f284(x53411,x53411),x53412)) % 194.45/194.26 [5342]P37(x53421,x53422)+~P37(x53421,f324(f284(x53421,x53421),x53422)) % 194.45/194.26 [5343]P52(x53431,x53432)+~P52(x53431,f324(f284(x53431,x53431),x53432)) % 194.45/194.26 [5346]~E(f45(a920,x53462,x53461),f2(a920))+E(f324(f324(f80(a920),x53461),f347(x53461,x53462)),x53462) % 194.45/194.26 [5347]~E(f45(a1,x53472,x53471),f2(a1))+E(f324(f324(f80(a1),x53471),f348(x53471,x53472)),x53472) % 194.45/194.26 [5373]~P1(f324(x53731,x53732))+P1(f324(f324(f234(a1),f2(a1)),f346(x53731))) % 194.45/194.26 [5384]E(f324(f324(f3(a920),f324(a106,x53841)),f324(a106,x53842)),f324(a106,x53841))+~P1(f324(a194,x53842)) % 194.45/194.26 [5413]E(f270(x54131,x54132),f77(a101))+~P1(f324(f324(f234(a101),x54131),f77(a101))) % 194.45/194.26 [5508]E(f324(f324(f164(x55081),x55082),f697(x55082,x55081)),f324(f324(f164(x55081),x55082),f701(x55082,x55081)))+P1(f324(f137(x55081),x55082)) % 194.45/194.26 [5551]~P1(f324(x55511,f89(x55512,x55511)))+P1(f324(x55511,f612(x55512,x55511))) % 194.45/194.26 [5613]P60(x56131,x56132)+~P1(f324(f312(x56131,x56132),f581(x56132,x56131))) % 194.45/194.26 [5757]~P13(x57572,x57571)+P1(f324(f324(x57571,f831(x57571,x57572)),f831(x57571,x57572))) % 194.45/194.26 [5758]~P13(x57582,x57581)+P1(f324(f324(x57581,f834(x57581,x57582)),f834(x57581,x57582))) % 194.45/194.26 [5767]~E(f324(a114,f45(a920,x57671,x57672)),x57672)+E(f45(a920,f324(a114,x57671),x57672),f2(a920)) % 194.45/194.26 [5823]P35(x58231,x58232)+P1(f324(f324(f326(x58231),f628(x58232,x58231)),f629(x58232,x58231))) % 194.45/194.26 [5830]~P102(x58301)+P1(f324(f324(f326(x58301),f324(f105(x58301),x58302)),f111(x58301))) % 194.45/194.26 [5831]~P144(x58311)+P1(f324(f324(f326(x58311),f324(f102(x58311),x58312)),f111(x58311))) % 194.45/194.26 [5832]~P114(x58321)+P1(f324(f324(f326(x58321),f324(f102(x58321),x58322)),f186(x58321))) % 194.45/194.26 [5833]~P144(x58331)+P1(f324(f324(f326(x58331),f324(f104(x58331),x58332)),f111(x58331))) % 194.45/194.26 [5965]~P36(x59651,x59652)+E(f324(f324(f286(x59651,x59651,x59651),x59652),f304(x59651,x59652)),x59652) % 194.45/194.26 [5982]E(f324(a114,f45(a920,x59821,x59822)),x59822)+E(f45(a920,f324(a114,x59821),x59822),f324(a114,f45(a920,x59821,x59822))) % 194.45/194.26 [6404]P35(x64041,x64042)+~P1(f324(f324(f326(x64041),f582(x64042,x64041)),f313(x64041,x64042))) % 194.45/194.26 [6441]~P129(x64411)+~P1(f324(f324(f235(x64411),f324(f102(x64411),x64412)),f2(x64411))) % 194.45/194.26 [6442]~P95(x64421)+~P1(f324(f324(f235(x64421),f324(f75(x64421),x64422)),f2(x64421))) % 194.45/194.26 [6472]E(x64721,f189(f928(x64722,a916)))+~P1(f324(f324(f326(x64722),f812(x64722,x64721)),f824(x64722,x64721))) % 194.45/194.26 [6532]P1(f324(f324(f235(a1),x65321),f45(a1,x65322,x65321)))+~P1(f324(f324(f235(a1),x65321),f2(a1))) % 194.45/194.26 [6632]E(f324(f324(f306(a920),f324(a114,x66321)),f300(a920,x66322,x66321)),f300(a920,x66322,f324(a114,x66321)))+~P1(f324(f324(f234(a920),x66322),f324(a114,x66321))) % 194.45/194.26 [6720]~P112(x67201)+P10(x67201,f150(x67201,x67201,f7(x67201),x67202)) % 194.45/194.26 [6852]E(f324(f167(x68521),x68522),x68522)+~P1(f324(f324(f234(a920),f324(f190(f921(x68521)),x68522)),f77(a920))) % 194.45/194.26 [6871]~P95(x68711)+P1(f324(f324(f234(x68711),f324(f78(x68711),f324(f75(x68711),x68712))),f2(x68711))) % 194.45/194.26 [6903]~P35(x69031,x69032)+P35(x69031,f324(f324(f286(x69031,x69031,x69031),x69032),f304(x69031,x69032))) % 194.45/194.26 [6904]~P52(x69041,x69042)+P52(x69041,f324(f324(f286(x69041,x69041,x69041),x69042),f304(x69041,x69042))) % 194.45/194.26 [7125]~P1(f324(f324(f235(a1),x71252),f2(a1)))+P1(f324(f324(f234(a1),f45(a1,x71251,x71252)),f2(a1))) % 194.45/194.26 [7528]~P114(x75281)+E(f191(x75281,f324(f324(f9(x75281,x75281,x75281),f79(x75281)),f77(x75281)),x75282,f2(x75281)),f324(f102(x75281),x75282)) % 194.45/194.26 [7560]~P131(x75601)+~P1(f324(f324(f235(x75601),f324(f324(f80(x75601),x75602),x75602)),f2(x75601))) % 194.45/194.26 [10206]~P125(x102061)+~P1(f324(f324(f235(x102061),f324(f324(f244(x102061),x102062),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f2(x102061))) % 194.45/194.26 [4793]~E(x47932,f115(x47931))+E(f324(f190(f921(x47931)),x47932),f2(a920)) % 194.45/194.26 [4829]~E(x48291,f2(a920))+E(f324(f324(f79(a920),x48291),x48292),x48292) % 194.45/194.26 [4830]~E(x48302,f2(a920))+E(f324(f324(f80(a920),x48301),x48302),f2(a920)) % 194.45/194.26 [4832]~E(x48321,f2(a920))+E(f324(f324(f80(a920),x48321),x48322),f2(a920)) % 194.45/194.26 [4833]~E(x48332,f2(a920))+E(f324(f324(f244(a920),x48331),x48332),f77(a920)) % 194.45/194.26 [4834]~E(x48342,f2(a1))+E(f324(f324(f36(a1),x48341),x48342),f2(a1)) % 194.45/194.26 [4845]E(x48451,f115(x48452))+~E(f324(f190(f921(x48452)),x48451),f2(a920)) % 194.45/194.26 [4847]~P63(x48471)+E(f324(f324(f103(x48471),x48472),x48472),x48472) % 194.45/194.26 [4848]~P105(x48481)+E(f324(f324(f103(x48481),x48482),x48482),x48482) % 194.45/194.26 [4849]~P105(x48491)+E(f324(f324(f112(x48491),x48492),x48492),x48492) % 194.45/194.26 [4851]~P107(x48511)+E(f324(f324(f112(x48511),x48512),x48512),x48512) % 194.45/194.26 [4853]~P112(x48531)+E(f324(f324(f188(x48531),x48532),x48532),x48532) % 194.45/194.26 [4855]~P103(x48551)+E(f324(f324(f80(x48551),x48552),x48552),x48552) % 194.45/194.26 [4857]~P112(x48571)+E(f324(f324(f233(x48571),x48572),x48572),x48572) % 194.45/194.26 [4875]~P74(x48751)+E(f324(f324(f3(x48751),x48752),x48752),f2(x48751)) % 194.45/194.26 [4889]~P90(x48891)+E(f324(f78(x48891),f324(f78(x48891),x48892)),x48892) % 194.45/194.26 [4890]~P74(x48901)+E(f324(f78(x48901),f324(f78(x48901),x48902)),x48902) % 194.45/194.26 [4907]~E(x49072,f2(a920))+E(f324(f324(f244(a920),x49071),x49072),f324(a114,f2(a920))) % 194.45/194.26 [4942]~P84(x49421)+E(f324(f324(f103(x49421),f242(x49421)),x49422),x49422) % 194.45/194.26 [4943]~P85(x49431)+E(f324(f324(f112(x49431),f189(x49431)),x49432),x49432) % 194.45/194.26 [4944]~P121(x49441)+E(f324(f324(f80(x49441),f77(x49441)),x49442),x49442) % 194.45/194.26 [4945]~P88(x49451)+E(f324(f324(f80(x49451),f77(x49451)),x49452),x49452) % 194.45/194.26 [4946]~P81(x49461)+E(f324(f324(f80(x49461),f77(x49461)),x49462),x49462) % 194.45/194.26 [4947]~P77(x49471)+E(f324(f324(f79(x49471),f2(x49471)),x49472),x49472) % 194.45/194.26 [4948]~P121(x49481)+E(f324(f324(f79(x49481),f2(x49481)),x49482),x49482) % 194.45/194.26 [4949]~P89(x49491)+E(f324(f324(f79(x49491),f2(x49491)),x49492),x49492) % 194.45/194.26 [4967]~P85(x49671)+E(f324(f324(f103(x49671),f189(x49671)),x49672),f189(x49671)) % 194.45/194.26 [4968]~P84(x49681)+E(f324(f324(f112(x49681),f242(x49681)),x49682),f242(x49681)) % 194.45/194.26 [4969]~P121(x49691)+E(f324(f324(f80(x49691),f2(x49691)),x49692),f2(x49691)) % 194.45/194.26 [4970]~P136(x49701)+E(f324(f324(f80(x49701),f2(x49701)),x49702),f2(x49701)) % 194.45/194.26 [4971]~P88(x49711)+E(f324(f324(f244(x49711),f77(x49711)),x49712),f77(x49711)) % 194.45/194.26 [4972]~P122(x49721)+E(f324(f324(f287(x49721),f2(x49721)),x49722),f2(x49721)) % 194.45/194.26 [4973]~P67(x49731)+E(f324(f324(f36(x49731),f2(x49731)),x49732),f2(x49731)) % 194.45/194.26 [4981]E(x49811,f115(x49812))+E(f144(x49812,f324(f168(x49812),x49811)),f324(f141(x49812),x49811)) % 194.45/194.26 [4982]E(x49821,f115(x49822))+E(f324(f141(x49822),f324(f168(x49822),x49821)),f144(x49822,x49821)) % 194.45/194.26 [4983]E(x49831,f2(a920))+~E(f324(f324(f79(a920),x49832),x49831),x49832) % 194.45/194.26 [4990]~P102(x49901)+E(f324(f104(x49901),f324(f105(a1),x49902)),f324(f105(x49901),x49902)) % 194.45/194.26 [4991]~P144(x49911)+E(f324(f104(x49911),f324(f102(a1),x49912)),f324(f102(x49911),x49912)) % 194.45/194.26 [4998]E(x49981,f77(a920))+~E(f324(f324(f80(a920),x49982),x49981),f77(a920)) % 194.45/194.26 [4999]E(x49991,f77(a920))+~E(f324(f324(f80(a920),x49991),x49992),f77(a920)) % 194.45/194.26 [5000]E(x50001,f2(a920))+~E(f324(f324(f79(a920),x50002),x50001),f2(a920)) % 194.45/194.26 [5001]E(x50011,f2(a920))+~E(f324(f324(f79(a920),x50011),x50012),f2(a920)) % 194.45/194.26 [5018]~P95(x50181)+E(f324(f75(x50181),f324(f78(x50181),x50182)),f324(f75(x50181),x50182)) % 194.45/194.26 [5019]~P125(x50191)+E(f324(f75(x50191),f324(f102(x50191),x50192)),f324(f102(x50191),x50192)) % 194.45/194.26 [5020]~P95(x50201)+E(f324(f75(x50201),f324(f75(x50201),x50202)),f324(f75(x50201),x50202)) % 194.45/194.26 [5021]~P77(x50211)+E(f324(f165(x50211),f324(f168(x50211),x50212)),f324(f165(x50211),x50212)) % 194.45/194.26 [5026]~E(x50261,f324(a114,f2(a920)))+E(f324(f324(f244(a920),x50261),x50262),f324(a114,f2(a920))) % 194.45/194.26 [5035]~P74(x50351)+E(f324(f324(f3(x50351),f2(x50351)),x50352),f324(f78(x50351),x50352)) % 194.45/194.26 [5036]~E(x50362,f2(a920))+E(f139(a920,f324(f299(a920,x50361),x50362)),f115(a920)) % 194.45/194.26 [5045]~P102(x50451)+E(f324(f324(f79(x50451),x50452),f324(f105(x50451),a82)),x50452) % 194.45/194.26 [5046]E(x50461,f2(a1))+E(f47(f324(f75(a1),x50462),f324(f75(a1),x50461)),f53(x50462,x50461)) % 194.45/194.26 [5062]~E(x50621,x50622)+P1(f324(f324(f234(a920),x50621),x50622)) % 194.45/194.26 [5069]~E(x50691,f2(a101))+E(f324(f324(f79(a920),f324(a22,x50691)),x50692),x50692) % 194.45/194.26 [5071]~P2(x50711)+E(f97(x50711,f324(f18(x50711,x50711),x50712)),x50712) % 194.45/194.26 [5084]~P3(x50841)+P3(f324(f324(f244(a1),x50841),x50842)) % 194.45/194.26 [5085]~P90(x50851)+E(f324(f324(f103(x50851),x50852),f324(f78(x50851),x50852)),f189(x50851)) % 194.45/194.26 [5086]~P90(x50861)+E(f324(f324(f112(x50861),x50862),f324(f78(x50861),x50862)),f242(x50861)) % 194.45/194.26 [5087]~P74(x50871)+E(f324(f324(f79(x50871),x50872),f324(f78(x50871),x50872)),f2(x50871)) % 194.45/194.26 [5111]E(x51111,f2(a920))+~E(f324(f78(a1),f324(f102(a1),x51112)),f324(f102(a1),x51111)) % 194.45/194.26 [5112]E(x51121,f2(a920))+~E(f324(f78(a1),f324(f102(a1),x51121)),f324(f102(a1),x51122)) % 194.45/194.26 [5122]E(f195(x51221,x51222),f2(a1))+P1(f324(f324(f234(a1),x51222),x51221)) % 194.45/194.26 [5123]E(f178(x51231,x51232),f115(a1))+P1(f324(f324(f234(a1),x51231),x51232)) % 194.45/194.26 [5124]E(f241(x51241,x51242),f2(a101))+P1(f324(f324(f235(a101),x51241),x51242)) % 194.45/194.26 [5137]E(x51371,f324(a114,f2(a920)))+~E(f324(f324(f80(a920),x51372),x51371),f324(a114,f2(a920))) % 194.45/194.26 [5138]E(x51381,f324(a114,f2(a920)))+~E(f324(f324(f80(a920),x51381),x51382),f324(a114,f2(a920))) % 194.45/194.26 [5139]~P61(x51391)+P1(f324(f324(f234(x51391),x51392),x51392)) % 194.45/194.26 [5142]~P102(x51421)+E(f324(f324(f80(x51421),x51422),f324(f105(x51421),a99)),f324(f78(x51421),x51422)) % 194.45/194.26 [5162]~P102(x51621)+E(f324(f78(x51621),f324(f105(x51621),x51622)),f324(f105(x51621),f324(f78(a1),x51622))) % 194.45/194.26 [5163]~P144(x51631)+E(f324(f78(x51631),f324(f104(x51631),x51632)),f324(f104(x51631),f324(f78(a1),x51632))) % 194.45/194.26 [5192]~E(x51921,f324(a114,x51922))+P1(f324(f324(f235(a920),f2(a920)),x51921)) % 194.45/194.26 [5210]~P112(x52101)+E(f324(f78(f928(x52101,a916)),f324(f280(x52101),x52102)),f324(f281(x52101),x52102)) % 194.45/194.26 [5211]~P112(x52111)+E(f324(f78(f928(x52111,a916)),f324(f298(x52111),x52112)),f324(f301(x52111),x52112)) % 194.45/194.26 [5212]~P112(x52121)+E(f324(f78(f928(x52121,a916)),f324(f301(x52121),x52122)),f324(f298(x52121),x52122)) % 194.45/194.26 [5213]~P112(x52131)+E(f324(f78(f928(x52131,a916)),f324(f281(x52131),x52132)),f324(f280(x52131),x52132)) % 194.45/194.26 [5223]~E(f324(f102(a1),x52232),x52231)+P1(f324(f324(f234(a1),f2(a1)),x52231)) % 194.45/194.26 [5232]~E(x52322,f2(a1))+E(f53(x52321,x52322),f324(f324(f252(a1,a1),f2(a1)),f324(f75(a1),x52321))) % 194.45/194.26 [5234]~P62(x52341)+P1(f324(f324(f234(x52341),f189(x52341)),x52342)) % 194.45/194.26 [5267]E(x52671,x52672)+~E(f324(f324(f79(a1),x52671),x52671),f324(f324(f79(a1),x52672),x52672)) % 194.45/194.26 [5274]~P1(f324(x52741,x52742))+P1(f324(x52741,f324(a106,f346(x52741)))) % 194.45/194.26 [5300]~P125(x53001)+E(f324(f324(f80(x53001),f81(x53001,x53002)),f324(f75(x53001),x53002)),x53002) % 194.45/194.26 [5307]~E(x53072,f2(a920))+E(f84(f927(a920,a920),f48(x53071,x53072)),f324(f324(f252(a920,a920),f2(a920)),x53071)) % 194.45/194.26 [5312]~E(x53121,x53122)+~P1(f324(f324(f235(a920),x53121),x53122)) % 194.45/194.26 [5313]~E(x53131,x53132)+~P1(f324(f324(f235(a1),x53131),x53132)) % 194.45/194.26 [5316]~P114(x53161)+E(f324(f324(f79(x53161),f77(x53161)),f324(f102(x53161),x53162)),f324(f102(x53161),f324(a114,x53162))) % 194.45/194.26 [5320]~E(x53201,f2(a920))+~P1(f324(f324(f235(a920),x53202),x53201)) % 194.45/194.26 [5335]E(f152(x53351,x53352),x53352)+~E(f324(f190(f921(x53351)),f152(x53351,x53352)),f324(f190(f921(x53351)),x53352)) % 194.45/194.26 [5336]E(f324(f35(x53361),f324(f172(x53361),x53362)),f324(f190(f921(x53361)),x53362))+~P1(f324(f137(x53361),x53362)) % 194.45/194.26 [5351]~P1(f324(x53511,f380(x53511)))+P1(f324(x53511,f324(f102(a1),x53512))) % 194.45/194.26 [5361]E(f241(x53611,x53612),x53612)+~P1(f324(f324(f235(a101),x53611),x53612)) % 194.45/194.26 [5363]E(f270(x53631,x53632),f77(a101))+~P1(f324(f324(f235(a101),x53632),x53631)) % 194.45/194.26 [5364]E(f178(x53641,x53642),f115(a1))+~P1(f324(f324(f235(a1),x53642),x53641)) % 194.45/194.26 [5365]E(f129(x53651,x53652),f117(a1))+~P1(f324(f324(f235(a1),x53651),x53652)) % 194.45/194.26 [5367]~P113(x53671)+E(f300(x53671,x53672,x53672),f324(f324(f306(x53671),x53672),f189(f928(x53671,a916)))) % 194.45/194.26 [5387]~E(f324(f324(f3(a920),x53871),x53872),f2(a920))+P1(f324(f324(f234(a920),x53871),x53872)) % 194.45/194.26 [5410]~E(x54102,f2(a920))+E(f55(x54101,x54102,f115(x54101)),f324(f324(f151(f921(x54101)),f115(x54101)),f115(f921(x54101)))) % 194.45/194.26 [5414]~P61(x54141)+~P1(f324(f324(f235(x54141),x54142),x54142)) % 194.45/194.26 [5416]~E(f45(a1,x54161,x54162),f2(a1))+E(f45(a1,x54161,f324(f78(a1),x54162)),f2(a1)) % 194.45/194.26 [5418]~E(f45(a1,x54181,x54182),f2(a1))+E(f45(a1,f324(f78(a1),x54181),x54182),f2(a1)) % 194.45/194.26 [5426]E(f324(f299(a920,x54261),f324(a114,x54262)),f189(f928(a920,a916)))+P1(f324(f324(f234(a920),x54261),x54262)) % 194.45/194.26 [5449]E(f139(a920,f324(f299(a920,x54491),x54492)),f115(a920))+P1(f324(f324(f235(a920),x54491),x54492)) % 194.45/194.26 [5454]~E(f324(f35(x54541),f324(f172(x54541),x54542)),f324(f190(f921(x54541)),x54542))+P1(f324(f137(x54541),x54542)) % 194.45/194.26 [5458]~P1(f324(f137(x54581),x54582))+P1(f324(f137(x54581),f324(f167(x54581),x54582))) % 194.45/194.26 [5459]~P1(f324(f137(x54591),x54592))+P1(f324(f137(x54591),f324(f171(x54591),x54592))) % 194.45/194.26 [5460]~P1(f324(f137(x54601),x54602))+P1(f324(f137(x54601),f324(f168(x54601),x54602))) % 194.45/194.26 [5468]P1(f324(x54681,x54682))+~P1(f324(x54681,f324(a106,f377(x54681)))) % 194.45/194.26 [5469]P1(f324(f324(f234(a920),x54692),x54691))+P1(f324(f324(f234(a920),x54691),x54692)) % 194.45/194.26 [5470]P1(f324(f324(f234(a1),x54702),x54701))+P1(f324(f324(f234(a1),x54701),x54702)) % 194.45/194.26 [5474]~P95(x54741)+P1(f324(f324(f234(x54741),x54742),f324(f75(x54741),x54742))) % 194.45/194.26 [5477]P1(f324(x54771,f384(x54771)))+~P1(f324(x54771,f324(f102(a1),x54772))) % 194.45/194.26 [5501]E(f324(f324(f3(a920),x55011),x55012),f2(a920))+~P1(f324(f324(f234(a920),x55011),x55012)) % 194.45/194.26 [5502]E(f324(f324(f36(a920),x55021),x55022),f2(a920))+~P1(f324(f324(f235(a920),x55021),x55022)) % 194.45/194.26 [5520]E(f45(a920,x55201,x55202),x55201)+~P1(f324(f324(f235(a920),x55201),x55202)) % 194.45/194.26 [5528]E(f45(a1,x55281,f324(f78(a1),x55282)),f288(x55281,x55282))+P1(f324(f324(f234(a1),f2(a1)),x55282)) % 194.45/194.26 [5540]E(f324(f324(f3(a1),x55401),x55402),f195(x55401,x55402))+~P1(f324(f324(f234(a1),x55402),x55401)) % 194.45/194.26 [5558]P1(f324(f324(f234(a1),f2(a1)),f380(x55581)))+P1(f324(x55581,f324(f102(a1),x55582))) % 194.45/194.26 [5571]~P129(x55711)+P1(f324(f324(f234(x55711),f2(x55711)),f324(f102(x55711),x55712))) % 194.45/194.26 [5572]~P95(x55721)+P1(f324(f324(f234(x55721),f2(x55721)),f324(f75(x55721),x55722))) % 194.45/194.26 [5599]E(f324(f324(f79(a920),x55991),f861(x55992,x55991)),x55992)+~P1(f324(f324(f234(a920),x55991),x55992)) % 194.45/194.26 [5614]E(f300(a1,x56141,x56142),f189(f928(a1,a916)))+~P1(f324(f324(f235(a1),x56142),x56141)) % 194.45/194.26 [5617]~P125(x56171)+E(f324(f324(f80(x56171),f324(f75(x56171),x56172)),f324(f75(x56171),x56172)),f324(f324(f80(x56171),x56172),x56172)) % 194.45/194.26 [5622]E(f139(a920,f324(f299(a920,x56221),f324(a114,x56222))),f115(a920))+P1(f324(f324(f234(a920),x56221),x56222)) % 194.45/194.26 [5626]E(f324(f324(f36(a1),x56261),x56262),f289(x56261,x56262))+~P1(f324(f324(f234(a1),f2(a1)),x56262)) % 194.45/194.26 [5646]P1(f324(f137(x56461),x56462))+~P1(f324(f137(x56461),f324(f167(x56461),x56462))) % 194.45/194.26 [5647]P1(f324(f137(x56471),x56472))+~P1(f324(f137(x56471),f324(f168(x56471),x56472))) % 194.45/194.26 [5672]P1(f324(f61(a920),x56721))+P1(f324(f324(f326(a920),f442(x56721,x56722)),x56721)) % 194.45/194.26 [5673]P1(f324(f61(a920),x56731))+P1(f324(f324(f326(a920),f451(x56731,x56732)),x56731)) % 194.45/194.26 [5676]P1(f324(f324(f235(a920),x56762),f324(a114,x56761)))+P1(f324(f324(f235(a920),x56761),x56762)) % 194.45/194.26 [5677]E(f45(a1,x56771,x56772),f288(x56771,x56772))+~P1(f324(f324(f234(a1),f2(a1)),x56772)) % 194.45/194.26 [5681]E(f139(a920,f324(f299(a920,x56811),x56812)),f115(a920))+~P1(f324(f324(f234(a920),x56812),x56811)) % 194.45/194.26 [5682]~P86(x56821)+E(f324(f307(x56821,x56821,f78(x56821)),f324(f280(x56821),x56822)),f324(f301(x56821),f324(f78(x56821),x56822))) % 194.45/194.26 [5683]~P86(x56831)+E(f324(f307(x56831,x56831,f78(x56831)),f324(f298(x56831),x56832)),f324(f281(x56831),f324(f78(x56831),x56832))) % 194.45/194.26 [5684]~P86(x56841)+E(f324(f307(x56841,x56841,f78(x56841)),f324(f301(x56841),x56842)),f324(f280(x56841),f324(f78(x56841),x56842))) % 194.45/194.26 [5685]~P86(x56851)+E(f324(f307(x56851,x56851,f78(x56851)),f324(f281(x56851),x56852)),f324(f298(x56851),f324(f78(x56851),x56852))) % 194.45/194.26 [5696]E(x56961,f189(f928(x56962,a916)))+P1(f324(f324(f326(x56962),f454(x56961,x56962)),x56961)) % 194.45/194.26 [5697]E(x56971,f189(f928(x56972,a916)))+P1(f324(f324(f326(x56972),f464(x56971,x56972)),x56971)) % 194.45/194.26 [5708]~P1(f324(f324(f235(a920),x57081),x57082))+P1(f324(f324(f234(a920),x57081),x57082)) % 194.45/194.26 [5709]~P1(f324(f324(f235(a1),x57091),x57092))+P1(f324(f324(f234(a1),x57091),x57092)) % 194.45/194.26 [5725]E(f47(x57251,x57252),f324(f324(f252(a1,a1),f2(a1)),x57251))+~P1(f324(f324(f235(a1),x57251),x57252)) % 194.45/194.26 [5727]E(f216(f324(f78(a1),x57271),f324(f78(a1),x57272)),f216(x57271,x57272))+~P1(f324(f324(f235(a1),x57272),f2(a1))) % 194.45/194.26 [5739]E(x57391,x57392)+~E(f324(a5,f324(a114,f324(a22,x57391))),f324(a5,f324(a114,f324(a22,x57392)))) % 194.45/194.26 [5744]E(f47(x57441,x57442),f324(f324(f252(a1,a1),f2(a1)),x57441))+~P1(f324(f324(f234(a1),x57442),f2(a1))) % 194.45/194.26 [5773]E(f45(a920,f324(f105(a920),x57731),f324(f105(a920),x57732)),f2(a920))+~P1(f324(a194,f324(f105(a1),x57731))) % 194.45/194.26 [5788]P1(f324(f324(f234(a1),f2(a1)),f384(x57881)))+~P1(f324(x57881,f324(f102(a1),x57882))) % 194.45/194.26 [5821]P39(f300(a1,x58211,x58212))+~P1(f324(f324(f234(a1),f2(a1)),x58211)) % 194.45/194.26 [5826]~P1(f324(f61(x58261),x58262))+P1(f324(f61(f928(x58261,a916)),f324(f305(x58261),x58262))) % 194.45/194.26 [5839]E(f324(f324(f79(a1),x58391),f324(f102(a1),f387(x58392,x58391))),x58392)+~P1(f324(f324(f234(a1),x58391),x58392)) % 194.45/194.26 [5847]P1(f324(f324(f234(a920),x58471),x58472))+P1(f324(f324(f234(a920),f324(a114,x58472)),x58471)) % 194.45/194.26 [5890]E(f324(f324(f36(a920),f324(f105(a920),x58901)),f324(f105(a920),x58902)),f2(a920))+~P1(f324(a194,f324(f105(a1),x58901))) % 194.45/194.26 [5891]E(f324(f324(f80(a920),f324(f105(a920),x58911)),f324(f105(a920),x58912)),f2(a920))+~P1(f324(f324(f235(a1),x58911),a82)) % 194.45/194.26 [5893]P1(f324(f324(f234(a920),x58931),f324(a114,x58932)))+~P1(f324(f324(f234(a920),x58931),x58932)) % 194.45/194.26 [5895]P1(f324(f324(f235(a920),x58951),f324(a114,x58952)))+~P1(f324(f324(f234(a920),x58951),x58952)) % 194.45/194.26 [5897]P1(f324(f324(f235(a920),x58971),f324(a114,x58972)))+~P1(f324(f324(f235(a920),x58971),x58972)) % 194.45/194.26 [5900]~E(x59001,x59002)+P1(f324(f324(f235(a1),x59001),f324(f324(f79(a1),x59002),f77(a1)))) % 194.45/194.26 [5903]E(f45(a1,x59031,x59032),f2(a1))+E(f324(f324(f3(a1),x59032),f45(a1,x59031,x59032)),f45(a1,f324(f78(a1),x59031),x59032)) % 194.45/194.26 [5912]E(x59121,f115(x59122))+P1(f324(f324(f326(x59122),f144(x59122,x59121)),f324(f172(x59122),x59121))) % 194.45/194.26 [5924]E(f84(f927(a920,a920),f48(x59241,x59242)),f324(f324(f252(a920,a920),f2(a920)),x59241))+~P1(f324(f324(f235(a920),x59241),x59242)) % 194.45/194.26 [5958]E(f324(f324(f3(a920),f324(f105(a920),x59581)),f324(f105(a920),x59582)),f324(f105(a920),x59581))+~P1(f324(f324(f235(a1),x59582),a82)) % 194.45/194.26 [5959]E(f324(f324(f79(a920),f324(f105(a920),x59591)),f324(f105(a920),x59592)),f324(f105(a920),x59592))+~P1(f324(f324(f235(a1),x59591),a82)) % 194.45/194.26 [5966]E(f324(a114,f324(f324(f79(a920),x59661),f894(x59662,x59661))),x59662)+~P1(f324(f324(f235(a920),x59661),x59662)) % 194.45/194.26 [5988]E(f324(a114,f388(x59881)),x59881)+~P1(f324(f324(f234(a920),f324(a114,x59882)),x59881)) % 194.45/194.26 [5994]P1(f324(x59941,x59942))+~P1(f324(x59941,f324(a88,f606(x59942,x59941)))) % 194.45/194.26 [5995]P1(f324(x59951,x59952))+~P1(f324(x59951,f324(a5,f846(x59952,x59951)))) % 194.45/194.26 [6003]~P1(f324(f324(f235(a920),x60031),f324(a114,x60032)))+P1(f324(f324(f234(a920),x60031),x60032)) % 194.45/194.26 [6049]E(f324(f324(f306(a920),x60491),f324(f299(a920,x60492),x60491)),f324(f299(a920,x60492),f324(a114,x60491)))+~P1(f324(f324(f234(a920),x60492),x60491)) % 194.45/194.26 [6051]E(x60511,f115(x60512))+E(f324(f324(f134(x60512),f116(x60512,x60511)),f324(f324(f151(x60512),f144(x60512,x60511)),f115(x60512))),x60511) % 194.45/194.26 [6068]P1(f324(f61(x60681),x60682))+~P1(f324(f324(f235(a920),f2(a920)),f324(f35(x60681),x60682))) % 194.45/194.26 [6070]~E(x60701,f189(f928(x60702,a916)))+~P1(f324(f324(f235(a920),f2(a920)),f324(f35(x60702),x60701))) % 194.45/194.26 [6082]~P1(f324(f324(f235(a920),x60821),x60822))+P1(f324(f324(f234(a920),f324(a114,x60821)),x60822)) % 194.45/194.26 [6086]~P112(x60861)+E(f150(x60861,x60861,f7(x60861),f152(x60861,x60862)),f139(x60861,f324(f172(x60861),x60862))) % 194.45/194.26 [6089]E(x60891,f115(x60892))+P1(f324(f324(f326(x60892),f324(f141(x60892),x60891)),f324(f172(x60892),x60891))) % 194.45/194.26 [6095]~P129(x60951)+P1(f324(f324(f235(x60951),x60952),f324(f324(f79(x60951),x60952),f77(x60951)))) % 194.45/194.26 [6097]~P95(x60971)+P1(f324(f324(f234(x60971),f324(f78(x60971),x60972)),f324(f75(x60971),x60972))) % 194.45/194.26 [6129]P1(f324(f61(a920),x61291))+~P1(f324(f324(f234(a920),f451(x61291,x61292)),x61292)) % 194.45/194.26 [6130]P1(f324(f61(a920),x61301))+~P1(f324(f324(f235(a920),f442(x61301,x61302)),x61302)) % 194.45/194.26 [6136]~P1(f324(f61(f927(x61361,x61361)),x61362))+P1(f324(f61(x61361),f324(f279(x61361),x61362))) % 194.45/194.26 [6194]~P1(f324(f324(f235(a920),x61942),f324(a114,x61941)))+~P1(f324(f324(f235(a920),x61941),x61942)) % 194.45/194.26 [6195]~P113(x61951)+E(f324(f324(f103(f928(x61951,a916)),f324(f298(x61951),x61952)),f324(f281(x61951),x61952)),f324(f324(f306(x61951),x61952),f189(f928(x61951,a916)))) % 194.45/194.26 [6207]P1(f324(f61(x62071),x62072))+~P1(f324(f61(f928(x62071,a916)),f324(f305(x62071),x62072))) % 194.45/194.26 [6230]P1(f324(f324(f234(a920),f324(a114,x62301)),f324(a114,x62302)))+~P1(f324(f324(f234(a920),x62301),x62302)) % 194.45/194.26 [6231]P1(f324(f324(f234(a920),f324(a22,x62311)),f324(a22,x62312)))+~P1(f324(f324(f234(a101),x62311),x62312)) % 194.45/194.26 [6232]P1(f324(f324(f234(a101),f324(a5,x62321)),f324(a5,x62322)))+~P1(f324(f324(f234(a920),x62321),x62322)) % 194.45/194.26 [6234]P1(f324(f324(f235(a920),f324(a114,x62341)),f324(a114,x62342)))+~P1(f324(f324(f235(a920),x62341),x62342)) % 194.45/194.26 [6235]P1(f324(f324(f235(a920),f324(a22,x62351)),f324(a22,x62352)))+~P1(f324(f324(f235(a101),x62351),x62352)) % 194.45/194.26 [6236]P1(f324(f324(f235(a101),f324(a5,x62361)),f324(a5,x62362)))+~P1(f324(f324(f235(a920),x62361),x62362)) % 194.45/194.26 [6241]E(x62411,x62412)+~E(f324(f307(a920,a1,f102(a1)),x62411),f324(f307(a920,a1,f102(a1)),x62412)) % 194.45/194.26 [6257]P1(f324(f324(f234(a920),x62571),x62572))+~P1(f324(f324(f234(a920),f324(a114,x62571)),x62572)) % 194.45/194.26 [6260]P1(f324(f324(f235(a920),x62601),x62602))+~P1(f324(f324(f234(a920),f324(a114,x62601)),x62602)) % 194.45/194.26 [6261]P1(f324(f324(f235(a920),x62611),x62612))+~P1(f324(f324(f235(a920),f324(a114,x62611)),x62612)) % 194.45/194.26 [6279]E(f45(a1,x62791,x62792),f2(a1))+E(f324(f324(f3(a1),f45(a1,x62791,x62792)),x62792),f45(a1,x62791,f324(f78(a1),x62792))) % 194.45/194.26 [6346]E(f324(f35(f928(x63461,a916)),f324(f305(x63461),x63462)),f324(f324(f244(a920),f324(a114,f324(a114,f2(a920)))),f324(f35(x63461),x63462)))+~P1(f324(f61(x63461),x63462)) % 194.45/194.26 [6349]E(x63491,f115(x63492))+E(f324(f324(f164(x63492),x63491),f324(f324(f3(a920),f324(f190(f921(x63492)),x63491)),f77(a920))),f144(x63492,x63491)) % 194.45/194.26 [6371]E(x63711,f115(x63712))+E(f324(f324(f134(x63712),f324(f171(x63712),x63711)),f324(f324(f151(x63712),f324(f141(x63712),x63711)),f115(x63712))),f324(f167(x63712),x63711)) % 194.45/194.26 [6401]~P1(f324(f61(x64011),f37(f928(x64011,a916),x64012)))+P1(f324(f61(f928(x64011,a916)),x64012)) % 194.45/194.26 [6423]P1(f324(f324(f234(a920),f324(f105(a920),x64231)),f324(f105(a920),x64232)))+~P1(f324(f324(f234(a1),x64231),a82)) % 194.45/194.26 [6443]~P1(f324(f324(f235(a1),x64431),x64432))+P1(f324(f324(f234(a1),x64431),f324(f324(f3(a1),x64432),f77(a1)))) % 194.45/194.26 [6444]~P1(f324(f324(f234(a1),x64441),x64442))+P1(f324(f324(f235(a1),x64441),f324(f324(f79(a1),x64442),f77(a1)))) % 194.45/194.26 [6445]~P1(f324(f324(f235(a1),x64451),x64452))+P1(f324(f324(f235(a1),x64451),f324(f324(f79(a1),x64452),f77(a1)))) % 194.45/194.26 [6447]~P1(f324(f324(f234(a1),x64471),x64472))+P1(f324(f324(f234(a920),f324(f105(a920),x64471)),f324(f105(a920),x64472))) % 194.45/194.26 [6448]~P1(f324(f324(f234(a1),x64481),x64482))+P1(f324(f324(f234(a1),f324(f105(a1),x64481)),f324(f105(a1),x64482))) % 194.45/194.26 [6450]~P1(f324(f324(f234(a920),x64501),x64502))+P1(f324(f324(f234(a1),f324(f102(a1),x64501)),f324(f102(a1),x64502))) % 194.45/194.26 [6451]~P1(f324(f324(f235(a1),x64511),x64512))+P1(f324(f324(f235(a1),f324(f105(a1),x64511)),f324(f105(a1),x64512))) % 194.45/194.26 [6453]~P1(f324(f324(f235(a920),x64531),x64532))+P1(f324(f324(f235(a1),f324(f102(a1),x64531)),f324(f102(a1),x64532))) % 194.45/194.26 [6473]~P1(f324(f324(f234(a920),x64731),x64732))+~P1(f324(f324(f234(a920),f324(a114,x64732)),x64731)) % 194.45/194.26 [6516]~P1(f324(f324(f234(a920),f324(a114,x65161)),f324(a114,x65162)))+P1(f324(f324(f234(a920),x65161),x65162)) % 194.45/194.26 [6517]~P1(f324(f324(f234(a101),f324(a5,x65171)),f324(a5,x65172)))+P1(f324(f324(f234(a920),x65171),x65172)) % 194.45/194.26 [6518]~P1(f324(f324(f234(a920),f324(a22,x65181)),f324(a22,x65182)))+P1(f324(f324(f234(a101),x65181),x65182)) % 194.45/194.26 [6520]~P1(f324(f324(f235(a920),f324(a114,x65201)),f324(a114,x65202)))+P1(f324(f324(f235(a920),x65201),x65202)) % 194.45/194.26 [6521]~P1(f324(f324(f235(a101),f324(a5,x65211)),f324(a5,x65212)))+P1(f324(f324(f235(a920),x65211),x65212)) % 194.45/194.26 [6522]~P1(f324(f324(f235(a920),f324(a106,x65221)),f324(a106,x65222)))+P1(f324(f324(f235(a1),x65221),x65222)) % 194.45/194.26 [6523]~P1(f324(f324(f235(a920),f324(a22,x65231)),f324(a22,x65232)))+P1(f324(f324(f235(a101),x65231),x65232)) % 194.45/194.26 [6566]~P1(f324(f324(f235(a920),f324(a106,x65662)),f324(a106,x65661)))+P1(f324(f324(f235(a1),f2(a1)),x65661)) % 194.45/194.26 [6598]P1(f324(f324(f234(a1),f2(a1)),f45(a1,x65981,x65982)))+~P1(f324(f324(f235(a1),f2(a1)),x65982)) % 194.45/194.26 [6758]P35(x67581,x67582)+~E(f324(f324(f286(x67581,x67581,x67581),x67582),x67582),f189(f928(f927(x67581,x67581),a916))) % 194.45/194.26 [6770]~P35(x67701,x67702)+P35(x67701,f324(f324(f286(x67701,x67701,x67701),x67702),x67702)) % 194.45/194.26 [6781]P1(f324(f324(f234(a1),x67811),x67812))+~P1(f324(f324(f235(a1),x67811),f324(f324(f79(a1),x67812),f77(a1)))) % 194.45/194.26 [6782]P1(f324(f324(f235(a1),x67821),x67822))+~P1(f324(f324(f234(a1),x67821),f324(f324(f3(a1),x67822),f77(a1)))) % 194.45/194.26 [6785]P1(f324(f324(f234(a920),x67851),x67852))+~P1(f324(f324(f234(a1),f324(f102(a1),x67851)),f324(f102(a1),x67852))) % 194.45/194.26 [6786]P1(f324(f324(f234(a1),x67861),x67862))+~P1(f324(f324(f234(a1),f324(f105(a1),x67861)),f324(f105(a1),x67862))) % 194.45/194.26 [6788]P1(f324(f324(f235(a920),x67881),x67882))+~P1(f324(f324(f235(a1),f324(f102(a1),x67881)),f324(f102(a1),x67882))) % 194.45/194.26 [6789]P1(f324(f324(f235(a1),x67891),x67892))+~P1(f324(f324(f235(a920),f324(f105(a920),x67891)),f324(f105(a920),x67892))) % 194.45/194.26 [6790]P1(f324(f324(f235(a1),x67901),x67902))+~P1(f324(f324(f235(a1),f324(f105(a1),x67901)),f324(f105(a1),x67902))) % 194.45/194.26 [6884]~E(f726(x68842,x68841),f115(x68841))+E(f324(f142(f921(x68841),f921(x68841),f134(x68841),f115(x68841)),x68842),f115(x68841)) % 194.45/194.26 [6885]~E(f727(x68852,x68851),f115(x68851))+E(f324(f142(f921(x68851),f921(x68851),f134(x68851),f115(x68851)),x68852),f115(x68851)) % 194.45/194.26 [6890]~P2(x68901)+E(f324(f142(x68901,x68901,f112(x68901),f189(x68901)),x68902),f37(x68901,f324(f172(x68901),x68902))) % 194.45/194.26 [6891]~P2(x68911)+E(f324(f142(x68911,x68911,f103(x68911),f242(x68911)),x68912),f38(x68911,f324(f172(x68911),x68912))) % 194.45/194.26 [6905]E(x69051,f2(a101))+E(f324(f324(f79(a920),f324(a22,f324(f324(f3(a101),x69051),f77(a101)))),f324(a114,x69052)),f324(f324(f79(a920),f324(a22,x69051)),x69052)) % 194.45/194.26 [6954]P1(f324(f324(f235(a1),f324(f324(f3(a1),x69541),x69542)),f2(a1)))+~P1(f324(f324(f235(a1),x69541),x69542)) % 194.45/194.26 [6981]~P112(x69811)+E(f324(f324(f112(f928(x69811,a916)),f324(f324(f306(x69811),x69812),f189(f928(x69811,a916)))),f324(f301(x69811),x69812)),f324(f281(x69811),x69812)) % 194.45/194.26 [7055]~P60(x70551,x70552)+P35(x70551,f324(f262(f927(x70551,x70551)),f324(f257(x70551,x70551,a916),x70552))) % 194.45/194.26 [7056]~P60(x70561,x70562)+P58(x70561,f324(f262(f927(x70561,x70561)),f324(f257(x70561,x70561,a916),x70562))) % 194.45/194.26 [7057]~P50(x70571,x70572)+P36(x70571,f324(f262(f927(x70571,x70571)),f324(f257(x70571,x70571,a916),x70572))) % 194.45/194.26 [7058]~P51(x70581,x70582)+P52(x70581,f324(f262(f927(x70581,x70581)),f324(f257(x70581,x70581,a916),x70582))) % 194.45/194.26 [7059]E(x70591,f189(f928(x70592,a916)))+~P1(f324(f324(f234(f928(x70592,a916)),x70591),f189(f928(x70592,a916)))) % 194.45/194.26 [7140]~P1(f324(f324(f235(a920),f2(a920)),x71402))+P1(f324(f324(f234(a920),f45(a920,x71401,x71402)),x71402)) % 194.45/194.26 [7141]~P1(f324(f324(f234(a1),f2(a1)),x71411))+P1(f324(f324(f234(a1),f45(a1,x71411,x71412)),x71411)) % 194.45/194.26 [7142]~P1(f324(f324(f235(a920),f2(a920)),x71422))+P1(f324(f324(f235(a920),f45(a920,x71421,x71422)),x71422)) % 194.45/194.26 [7144]~P1(f324(f324(f235(a1),f2(a1)),x71442))+P1(f324(f324(f235(a1),f45(a1,x71441,x71442)),x71442)) % 194.45/194.26 [7221]~P113(x72211)+E(f324(f324(f3(f928(x72211,a916)),f324(f324(f306(x72211),x72212),f189(f928(x72211,a916)))),f324(f280(x72211),x72212)),f324(f324(f306(x72211),x72212),f189(f928(x72211,a916)))) % 194.45/194.26 [7293]~P48(x72931,x72932)+P53(x72931,f242(f928(x72931,a916)),f324(f262(f927(x72931,x72931)),f324(f257(x72931,x72931,a916),x72932))) % 194.45/194.26 [7294]P1(f324(x72941,x72942))+P1(f324(f324(f326(f928(f927(a920,a920),a916)),f606(x72942,x72941)),a100)) % 194.45/194.26 [7340]E(f324(f324(f134(a920),f139(a920,f324(f299(a920,x73401),x73402))),f324(f324(f151(a920),x73402),f115(a920))),f139(a920,f324(f299(a920,x73401),f324(a114,x73402))))+~P1(f324(f324(f234(a920),x73401),x73402)) % 194.45/194.26 [7495]E(x74951,f2(a920))+~E(f324(f142(a920,a920,f79(a920),x74951),x74952),f2(a920)) % 194.45/194.26 [7520]~P1(f324(f324(f235(a1),f324(f324(f3(a1),x75201),x75202)),f2(a1)))+P1(f324(f324(f235(a1),x75201),x75202)) % 194.45/194.26 [7548]P35(x75481,x75482)+~P35(x75481,f324(f324(f286(x75481,x75481,x75481),x75482),x75482)) % 194.45/194.26 [7577]~P1(f324(f324(f234(a920),f324(a114,x75771)),x75772))+P1(f185(a916,a239,f324(f234(a920),x75771),x75772)) % 194.45/194.26 [7732]P22(a920,a920,f324(f324(f9(a920,a920,a920),f3(a920)),x77321),x77322)+P1(f324(f324(f326(a920),f613(x77321,x77322)),x77322)) % 194.45/194.26 [7788]E(f324(f324(f324(f65(a920,x77881,f79(a920)),f324(f18(a920,x77881),f77(a920))),f2(a920)),x77882),f324(f35(x77881),x77882))+~P1(f324(f61(x77881),x77882)) % 194.45/194.26 [7830]P22(a920,a920,f324(f324(f9(a920,a920,a920),f3(a920)),x78301),x78302)+~P1(f324(f324(f234(a920),x78301),f613(x78301,x78302))) % 194.45/194.26 [7885]P35(x78851,x78852)+P1(f324(f324(f234(f928(x78851,a916)),f611(x78852,x78851)),f324(f283(x78851,x78851,x78852),f611(x78852,x78851)))) % 194.45/194.26 [7890]P60(x78901,x78902)+~P35(x78901,f324(f262(f927(x78901,x78901)),f324(f257(x78901,x78901,a916),x78902))) % 194.45/194.26 [7891]P50(x78911,x78912)+~P36(x78911,f324(f262(f927(x78911,x78911)),f324(f257(x78911,x78911,a916),x78912))) % 194.45/194.26 [7892]P51(x78921,x78922)+~P52(x78921,f324(f262(f927(x78921,x78921)),f324(f257(x78921,x78921,a916),x78922))) % 194.45/194.26 [7965]P1(f324(f324(f234(a920),f324(a114,x79651)),x79652))+~P1(f185(a916,a239,f324(f234(a920),x79651),x79652)) % 194.45/194.26 [8021]P1(f324(f324(f326(f927(a920,a920)),f324(f324(f252(a920,a920),x80211),x80212)),f304(a920,a314)))+~P1(f324(f324(f234(a920),x80211),x80212)) % 194.45/194.26 [8120]P48(x81201,x81202)+~P53(x81201,f242(f928(x81201,a916)),f324(f262(f927(x81201,x81201)),f324(f257(x81201,x81201,a916),x81202))) % 194.45/194.26 [8178]~P1(f324(f137(x81781),x81782))+P1(f324(f137(f928(x81781,a916)),f324(f324(f154(f921(x81781),f928(x81781,a916)),f172(x81781)),f54(x81781,x81782)))) % 194.45/194.26 [8377]~P35(x83771,f324(f284(x83771,x83771),x83772))+P35(x83771,f324(f284(x83771,x83771),f324(f324(f286(x83771,x83771,x83771),x83772),f304(x83771,x83772)))) % 194.45/194.26 [8475]P23(x84751,a920,f850(x84752,x84751),x84752,f324(f299(a920,f2(a920)),f324(f35(x84751),x84752)))+~P1(f324(f61(x84751),x84752)) % 194.45/194.26 [8476]P23(a920,x84761,f851(x84762,x84761),f324(f299(a920,f2(a920)),f324(f35(x84761),x84762)),x84762)+~P1(f324(f61(x84761),x84762)) % 194.45/194.26 [8494]P23(a920,x84941,f852(x84942,x84941),f300(a920,f77(a920),f324(f35(x84941),x84942)),x84942)+~P1(f324(f61(x84941),x84942)) % 194.45/194.26 [8503]P1(f324(f61(f927(x85031,x85031)),f324(f324(f286(x85031,x85031,x85031),x85032),f304(x85031,x85032))))+~P1(f324(f61(f927(x85031,x85031)),x85032)) % 194.45/194.26 [8531]E(x85311,f2(a1))+P1(f324(f49(x85312,x85311),f324(f324(f252(a1,a1),f324(f324(f36(a1),x85312),x85311)),f45(a1,x85312,x85311)))) % 194.45/194.26 [8545]~P1(f324(f324(f326(f927(a920,a920)),f324(f324(f252(a920,a920),x85451),x85452)),f304(a920,a314)))+P1(f324(f324(f234(a920),x85451),x85452)) % 194.45/194.26 [8560]~P89(x85601)+E(f324(f142(x85601,x85601,f324(f9(x85601,x85601,x85601),f79(x85601)),f2(x85601)),f324(f168(x85601),x85602)),f324(f142(x85601,x85601,f79(x85601),f2(x85601)),x85602)) % 194.45/194.26 [8735]~P112(x87351)+E(f324(f142(f921(x87351),x87351,f324(f9(x87351,f921(x87351),f921(x87351)),f148(x87351,x87351,f7(x87351))),f115(x87351)),x87352),f150(x87351,x87351,f7(x87351),x87352)) % 194.45/194.26 [8845]~P58(x88451,f324(f262(f927(x88451,x88451)),f324(f257(x88451,x88451,a916),x88452)))+P58(x88451,f324(f262(f927(x88451,x88451)),f324(f257(x88451,x88451,a916),f243(x88451,x88451,x88452)))) % 194.45/194.26 [8859]P1(f324(f324(f326(f927(a920,a920)),f324(f324(f252(a920,a920),x88591),x88592)),f324(f324(f286(a920,a920,a920),a314),f304(a920,a314))))+~P1(f324(f324(f235(a920),x88591),x88592)) % 194.45/194.26 [8904]~P1(f324(f61(f927(x89041,x89041)),f324(f324(f286(x89041,x89041,x89041),x89042),f304(x89041,x89042))))+P1(f324(f61(f927(x89041,x89041)),x89042)) % 194.45/194.26 [8963]~P58(x89631,f324(f262(f927(x89631,x89631)),f324(f257(x89631,x89631,a916),f243(x89631,x89631,x89632))))+P58(x89631,f324(f262(f927(x89631,x89631)),f324(f257(x89631,x89631,a916),x89632))) % 194.45/194.26 [9163]P58(x91631,x91632)+P1(f324(f324(f326(f927(x91631,x91631)),f324(f324(f252(x91631,x91631),f644(x91632,x91631)),f644(x91632,x91631))),f324(f324(f286(x91631,x91631,x91631),x91632),f304(x91631,x91632)))) % 194.45/194.26 [9164]P58(x91641,x91642)+P1(f324(f324(f326(f927(x91641,x91641)),f324(f324(f252(x91641,x91641),f654(x91642,x91641)),f654(x91642,x91641))),f324(f324(f286(x91641,x91641,x91641),x91642),f304(x91641,x91642)))) % 194.45/194.26 [9284]~P1(f324(f324(f326(f927(a920,a920)),f324(f324(f252(a920,a920),x92841),x92842)),f324(f324(f286(a920,a920,a920),a314),f304(a920,a314))))+P1(f324(f324(f235(a920),x92841),x92842)) % 194.45/194.26 [5206]~P102(x52061)+E(f324(f324(f79(x52061),f324(f105(x52061),a82)),x52062),x52062) % 194.45/194.26 [5239]~P90(x52391)+E(f324(f324(f103(x52391),f324(f78(x52391),x52392)),x52392),f189(x52391)) % 194.45/194.26 [5240]~P90(x52401)+E(f324(f324(f112(x52401),f324(f78(x52401),x52402)),x52402),f242(x52401)) % 194.45/194.26 [5241]~P65(x52411)+E(f324(f324(f79(x52411),f324(f78(x52411),x52412)),x52412),f2(x52411)) % 194.45/194.26 [5242]~P74(x52421)+E(f324(f324(f79(x52421),f324(f78(x52421),x52422)),x52422),f2(x52421)) % 194.45/194.26 [5278]~P102(x52781)+E(f324(f324(f80(x52781),f324(f105(x52781),a99)),x52782),f324(f78(x52781),x52782)) % 194.45/194.26 [5441]~P118(x54411)+E(f324(f324(f80(x54411),f324(f78(x54411),f77(x54411))),x54412),f324(f78(x54411),x54412)) % 194.45/194.26 [5486]E(f324(f75(a1),x54861),f77(a1))+~E(f324(f75(a1),f324(f324(f80(a1),x54861),x54862)),f77(a1)) % 194.45/194.26 [5574]~P102(x55741)+E(f324(f324(f79(x55741),f77(x55741)),f324(f105(x55741),x55742)),f324(f105(x55741),f324(f324(f3(a1),x55742),a99))) % 194.45/194.26 [5627]~P2(x56271)+E(f37(x56271,f324(f324(f306(x56271),x56272),f189(f928(x56271,a916)))),x56272) % 194.45/194.26 [5628]~P2(x56281)+E(f38(x56281,f324(f324(f306(x56281),x56282),f189(f928(x56281,a916)))),x56282) % 194.45/194.26 [5629]~P105(x56291)+E(f12(x56291,f324(f324(f306(x56291),x56292),f189(f928(x56291,a916)))),x56292) % 194.45/194.26 [5630]~P105(x56301)+E(f15(x56301,f324(f324(f306(x56301),x56302),f189(f928(x56301,a916)))),x56302) % 194.45/194.26 [5631]~P112(x56311)+E(f16(x56311,f324(f324(f306(x56311),x56312),f189(f928(x56311,a916)))),x56312) % 194.45/194.26 [5632]~P112(x56321)+E(f17(x56321,f324(f324(f306(x56321),x56322),f189(f928(x56321,a916)))),x56322) % 194.45/194.26 [5654]E(f324(f324(f79(a920),x56541),f324(f324(f3(a920),x56542),x56541)),x56542)+P1(f324(f324(f235(a920),x56542),x56541)) % 194.45/194.26 [5691]E(x56911,f115(x56912))+P1(f324(f324(f235(a920),f2(a920)),f324(f190(f921(x56912)),x56911))) % 194.45/194.26 [5818]~P112(x58181)+E(f13(x58181,f188(x58181),f324(f324(f306(x58181),x58182),f189(f928(x58181,a916)))),x58182) % 194.45/194.26 [5819]~P112(x58191)+E(f14(x58191,f233(x58191),f324(f324(f306(x58191),x58192),f189(f928(x58191,a916)))),x58192) % 194.45/194.26 [5880]E(f324(f324(f3(a920),x58801),f324(f324(f3(a920),x58801),x58802)),x58802)+~P1(f324(f324(f234(a920),x58802),x58801)) % 194.45/194.26 [5881]E(f324(f324(f79(a920),x58811),f324(f324(f3(a920),x58812),x58811)),x58812)+~P1(f324(f324(f234(a920),x58811),x58812)) % 194.45/194.26 [5902]E(f45(a920,f324(f324(f3(a920),x59021),x59022),x59022),f45(a920,x59021,x59022))+P1(f324(f324(f235(a920),x59021),x59022)) % 194.45/194.26 [5913]E(f324(f78(a1),f324(f324(f36(a1),x59131),f324(f78(a1),x59132))),f289(x59131,x59132))+P1(f324(f324(f234(a1),f2(a1)),x59132)) % 194.45/194.26 [5915]~E(x59152,f2(a920))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f244(a920),x59151),x59152))) % 194.45/194.26 [5971]~P102(x59711)+E(f324(f324(f79(x59711),f324(f78(x59711),f77(x59711))),f324(f105(x59711),x59712)),f324(f105(x59711),f324(f324(f79(a1),x59712),a99))) % 194.45/194.26 [5972]E(f324(f324(f244(a920),f324(f105(a920),x59721)),x59722),f324(f324(f244(a920),f2(a920)),x59722))+~P1(f324(a194,f324(f105(a1),x59721))) % 194.45/194.26 [6074]E(f324(f141(a920),f139(a920,f324(f299(a920,x60741),x60742))),x60741)+~P1(f324(f324(f235(a920),x60741),x60742)) % 194.45/194.26 [6090]E(f324(f324(f80(a920),f324(f105(a920),x60901)),f324(f105(a920),x60902)),f324(f105(a920),f324(f324(f80(a1),x60901),x60902)))+P1(f324(f324(f235(a1),x60901),a82)) % 194.45/194.26 [6096]~P131(x60961)+P1(f324(f324(f234(x60961),f2(x60961)),f324(f324(f80(x60961),x60962),x60962))) % 194.45/194.26 [6108]E(f324(f324(f3(a920),f324(a114,x61081)),x61082),f324(a114,f324(f324(f3(a920),x61081),x61082)))+~P1(f324(f324(f234(a920),x61082),x61081)) % 194.45/194.26 [6111]E(f45(a920,f324(f324(f3(a920),x61111),x61112),x61112),f45(a920,x61111,x61112))+~P1(f324(f324(f234(a920),x61112),x61111)) % 194.45/194.26 [6167]E(f324(f324(f244(a920),f324(a106,x61671)),x61672),f324(a106,f324(f324(f244(a1),x61671),x61672)))+~P1(f324(f324(f234(a1),f2(a1)),x61671)) % 194.45/194.26 [6185]P1(f324(f137(x61851),x61852))+P1(f324(f324(f235(a920),f697(x61852,x61851)),f324(f190(f921(x61851)),x61852))) % 194.45/194.26 [6186]P1(f324(f137(x61861),x61862))+P1(f324(f324(f235(a920),f701(x61862,x61861)),f324(f190(f921(x61861)),x61862))) % 194.45/194.26 [6201]~E(x62011,f115(x62012))+~P1(f324(f324(f235(a920),f2(a920)),f324(f190(f921(x62012)),x62011))) % 194.45/194.26 [6212]E(f144(a920,f139(a920,f324(f299(a920,x62121),x62122))),f324(f324(f3(a920),x62122),f77(a920)))+~P1(f324(f324(f235(a920),x62121),x62122)) % 194.45/194.26 [6215]E(f324(f324(f79(a1),x62151),f324(f102(a1),f324(a114,f389(x62152,x62151)))),x62152)+~P1(f324(f324(f235(a1),x62151),x62152)) % 194.45/194.26 [6222]E(x62221,f2(a920))+E(f324(f324(f80(a920),x62222),f324(f324(f244(a920),x62222),f324(f324(f3(a920),x62221),f77(a920)))),f324(f324(f244(a920),x62222),x62221)) % 194.45/194.26 [6251]E(f324(f324(f80(a920),f324(a106,x62511)),f324(a106,x62512)),f324(a106,f324(f324(f80(a1),x62511),x62512)))+~P1(f324(f324(f234(a1),f2(a1)),x62511)) % 194.45/194.26 [6252]E(f324(f324(f36(a920),f324(a106,x62521)),f324(a106,x62522)),f324(a106,f324(f324(f36(a1),x62521),x62522)))+~P1(f324(f324(f234(a1),f2(a1)),x62521)) % 194.45/194.26 [6266]~P121(x62661)+E(f324(f324(f79(x62661),x62662),x62662),f324(f324(f80(x62661),f324(f324(f79(x62661),f77(x62661)),f77(x62661))),x62662)) % 194.45/194.26 [6288]E(f324(f324(f3(a1),f324(f102(a1),x62881)),f324(f102(a1),x62882)),f324(f102(a1),f324(f324(f3(a920),x62881),x62882)))+~P1(f324(f324(f234(a920),x62882),x62881)) % 194.45/194.26 [6290]E(f324(f324(f252(a1,a1),f324(f105(a1),a99)),f324(f324(f79(a1),x62901),x62902)),f50(x62901,x62902))+~P1(f324(f324(f234(a1),x62902),f2(a1))) % 194.45/194.26 [6323]E(f179(x63231,x63232),f115(f921(x63231)))+P1(f324(f324(f326(f921(x63231)),f696(x63232,x63231)),f324(f172(f921(x63231)),x63232))) % 194.45/194.26 [6332]E(f118(a1,f324(f130(a1),x63321),f129(x63322,f324(f324(f79(a1),x63321),f77(a1)))),f129(x63322,x63321))+P1(f324(f324(f235(a1),x63322),x63321)) % 194.45/194.26 [6407]E(f324(f324(f151(a1),x64071),f178(f324(f324(f79(a1),x64071),f77(a1)),x64072)),f178(x64071,x64072))+~P1(f324(f324(f234(a1),x64071),x64072)) % 194.45/194.26 [6446]~P1(f324(f324(f235(a920),x64462),x64461))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f3(a920),x64461),x64462))) % 194.45/194.26 [6478]~P1(f324(f324(f235(a920),x64781),f324(a106,x64782)))+P1(f324(f324(f235(a1),f324(f102(a1),x64781)),x64782)) % 194.45/194.26 [6507]~P112(x65071)+E(f324(f324(f112(f928(x65071,a916)),f324(f280(x65071),x65072)),f324(f324(f306(x65071),x65072),f189(f928(x65071,a916)))),f324(f298(x65071),x65072)) % 194.45/194.26 [6508]~P1(f324(f324(f234(a1),f2(a1)),x65081))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f244(a1),x65081),x65082))) % 194.45/194.26 [6511]~P1(f324(f324(f235(a920),f2(a920)),x65111))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f244(a920),x65111),x65112))) % 194.45/194.26 [6541]~E(f324(x65411,f2(a920)),f2(a920))+E(f324(f324(f8(a920,a920),x65411),f300(a920,f324(a114,f2(a920)),x65412)),f324(f324(f8(a920,a920),x65411),f300(a920,f2(a920),x65412))) % 194.45/194.26 [6606]~P102(x66061)+E(f324(f324(f80(x66061),f324(f324(f79(x66061),f77(x66061)),f77(x66061))),f324(f105(x66061),x66062)),f324(f105(x66061),f324(f324(f79(a1),x66062),x66062))) % 194.45/194.26 [6621]E(f324(f324(f306(a1),x66211),f300(a1,f324(f324(f79(a1),x66211),f77(a1)),x66212)),f300(a1,x66211,x66212))+P1(f324(f324(f235(a1),x66212),x66211)) % 194.45/194.26 [6622]P1(f324(f324(f235(a920),x66221),f324(a106,x66222)))+~P1(f324(f324(f235(a1),f324(f102(a1),x66221)),x66222)) % 194.45/194.26 [6723]E(f324(a106,f324(f324(f36(a1),f324(f105(a1),x67231)),f324(f105(a1),x67232))),f324(f324(f36(a920),f324(f105(a920),x67231)),f324(f105(a920),x67232)))+P1(f324(a194,f324(f105(a1),x67231))) % 194.45/194.26 [6783]P1(f324(f324(f235(a920),x67831),x67832))+~P1(f324(f324(f235(a920),f2(a920)),f324(f324(f3(a920),x67832),x67831))) % 194.45/194.26 [6827]P1(f324(f324(f235(a920),f2(a920)),x68271))+~P1(f324(f324(f235(a920),f2(a920)),f324(f324(f80(a920),x68272),x68271))) % 194.45/194.26 [6828]P1(f324(f324(f235(a920),f2(a920)),x68281))+~P1(f324(f324(f235(a920),f2(a920)),f324(f324(f80(a920),x68281),x68282))) % 194.45/194.26 [6847]~P1(f324(f324(f234(a1),x68471),f2(a1)))+E(f324(f324(f80(a920),f324(a106,f324(f78(a1),x68471))),f324(a106,f324(f78(a1),x68472))),f324(a106,f324(f324(f80(a1),x68471),x68472))) % 194.45/194.26 [6902]~E(x69022,f189(f928(x69021,a916)))+P1(f324(f324(f234(f928(x69021,a916)),x69022),f324(f78(f928(x69021,a916)),x69022))) % 194.45/194.26 [6964]~P102(x69641)+E(f324(f324(f79(x69641),f324(f324(f79(x69641),f2(x69641)),f324(f105(x69641),x69642))),f324(f105(x69641),x69642)),f324(f105(x69641),f324(f324(f79(a1),x69642),x69642))) % 194.45/194.26 [7020]~P1(f324(f324(f235(a1),x70201),x70202))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x70201),f77(a1))),x70202)) % 194.45/194.26 [7086]E(x70861,f2(a920))+~P1(f324(f324(f234(a1),f324(f102(a1),x70862)),f324(f78(a1),f324(f102(a1),x70861)))) % 194.45/194.26 [7087]E(x70871,f2(a920))+~P1(f324(f324(f234(a1),f324(f102(a1),x70871)),f324(f78(a1),f324(f102(a1),x70872)))) % 194.45/194.26 [7188]E(f324(f324(f252(a1,a1),f324(f105(a1),a99)),f324(f324(f79(a1),x71881),x71882)),f50(x71881,x71882))+~P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),x71881),x71882))) % 194.45/194.26 [7233]~P24(x72331,x72332)+P35(x72331,f324(f251(f928(f927(x72331,x72331),a916),f928(f927(x72331,x72331),a916)),x72332)) % 194.45/194.26 [7251]~P1(f324(f324(f234(a920),f324(a114,f2(a920))),x72511))+P1(f324(f324(f234(a920),f324(a114,f2(a920))),f324(f324(f244(a920),x72511),x72512))) % 194.45/194.26 [7433]~P1(f324(f324(f234(a1),x74331),x74332))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x74331),x74331)),f324(f324(f79(a1),x74332),x74332))) % 194.45/194.26 [7438]~P1(f324(f324(f235(a1),x74381),x74382))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x74381),x74381)),f324(f324(f79(a1),x74382),x74382))) % 194.45/194.26 [7496]~P1(f324(f324(f235(a920),f2(a920)),x74961))+P1(f324(f324(f235(a920),f324(f324(f3(a920),x74961),f324(a114,x74962))),x74961)) % 194.45/194.26 [7530]P1(f324(f324(f234(a920),f324(a114,f2(a920))),x75301))+~P1(f324(f324(f234(a920),f324(a114,f2(a920))),f324(f324(f80(a920),x75302),x75301))) % 194.45/194.26 [7531]P1(f324(f324(f234(a920),f324(a114,f2(a920))),x75311))+~P1(f324(f324(f234(a920),f324(a114,f2(a920))),f324(f324(f80(a920),x75311),x75312))) % 194.45/194.26 [7535]P1(f324(f324(f234(a920),f324(f324(f164(a920),x75351),x75352)),f324(f165(a920),x75351)))+~P1(f324(f324(f235(a920),x75352),f324(f190(f921(a920)),x75351))) % 194.45/194.26 [7576]P1(f324(f324(f235(a1),x75761),x75762))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),x75761),f77(a1))),x75762)) % 194.45/194.26 [7621]P1(f324(f61(x76211),f242(f928(x76211,a916))))+~P1(f324(f61(f928(x76212,x76211)),f242(f928(f928(x76212,x76211),a916)))) % 194.45/194.26 [7622]P1(f324(f61(x76221),f242(f928(x76221,a916))))+~P1(f324(f61(f926(x76222,x76221)),f242(f928(f926(x76222,x76221),a916)))) % 194.45/194.26 [7623]P1(f324(f61(x76231),f242(f928(x76231,a916))))+~P1(f324(f61(f926(x76231,x76232)),f242(f928(f926(x76231,x76232),a916)))) % 194.45/194.26 [7662]E(x76621,f189(f928(x76622,a916)))+~P1(f324(f324(f234(f928(x76622,a916)),x76621),f324(f78(f928(x76622,a916)),x76621))) % 194.45/194.26 [7798]E(f324(f142(f921(x77981),f921(x77981),f134(x77981),f115(x77981)),x77982),f115(x77981))+P1(f324(f324(f326(f921(x77981)),f726(x77982,x77981)),f324(f172(f921(x77981)),x77982))) % 194.45/194.26 [7799]E(f324(f142(f921(x77991),f921(x77991),f134(x77991),f115(x77991)),x77992),f115(x77991))+P1(f324(f324(f326(f921(x77991)),f727(x77992,x77991)),f324(f172(f921(x77991)),x77992))) % 194.45/194.26 [8039]P1(f324(f324(f234(a1),x80391),x80392))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),x80391),x80391)),f324(f324(f79(a1),x80392),x80392))) % 194.45/194.26 [8044]P1(f324(f324(f235(a1),x80441),x80442))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),x80441),x80441)),f324(f324(f79(a1),x80442),x80442))) % 194.45/194.26 [8142]~P121(x81421)+E(f324(f324(f80(x81421),f324(f324(f79(x81421),f77(x81421)),f77(x81421))),f324(f324(f8(a920,x81421),f102(x81421)),f300(a920,f77(a920),x81422))),f324(f324(f80(x81421),f324(f102(x81421),x81422)),f324(f324(f79(x81421),f324(f102(x81421),x81422)),f77(x81421)))) % 194.45/194.26 [8192]P1(f324(f324(f326(a920),x81921),x81922))+~P1(f324(f324(f326(a1),f324(f102(a1),x81921)),f324(f307(a920,a1,f102(a1)),x81922))) % 194.45/194.26 [8349]~P1(f324(f61(x83491),x83492))+E(f324(f307(a920,x83491,f586(x83492,x83491)),f324(f262(a920),f324(f324(f9(a920,a920,a916),f235(a920)),f587(x83492,x83491)))),x83492) % 194.45/194.26 [8630]P54(x86301,x86302)+P1(f324(f324(f326(f927(x86301,x86301)),f324(f324(f252(x86301,x86301),f504(x86302,x86301)),f504(x86302,x86301))),x86302)) % 194.45/194.26 [8631]P36(x86311,x86312)+P1(f324(f324(f326(f927(x86311,x86311)),f324(f324(f252(x86311,x86311),f820(x86312,x86311)),f821(x86312,x86311))),x86312)) % 194.45/194.26 [8632]P36(x86321,x86322)+P1(f324(f324(f326(f927(x86321,x86321)),f324(f324(f252(x86321,x86321),f821(x86322,x86321)),f822(x86322,x86321))),x86322)) % 194.45/194.26 [8633]P37(x86331,x86332)+P1(f324(f324(f326(f927(x86331,x86331)),f324(f324(f252(x86331,x86331),f736(x86332,x86331)),f735(x86332,x86331))),x86332)) % 194.45/194.26 [8634]P37(x86341,x86342)+P1(f324(f324(f326(f927(x86341,x86341)),f324(f324(f252(x86341,x86341),f735(x86342,x86341)),f736(x86342,x86341))),x86342)) % 194.45/194.26 [8635]P52(x86351,x86352)+P1(f324(f324(f326(f927(x86351,x86351)),f324(f324(f252(x86351,x86351),f832(x86352,x86351)),f833(x86352,x86351))),x86352)) % 194.45/194.26 [8778]~P102(x87781)+E(f324(f324(f3(x87781),f77(x87781)),f324(f105(x87781),x87782)),f324(f105(x87781),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f78(a1),x87782)))) % 194.45/194.26 [8901]~P1(f324(f324(f235(f928(a920,a916)),x89011),x89012))+P1(f324(f324(f235(f928(a1,a916)),f324(f307(a920,a1,f102(a1)),x89011)),f324(f307(a920,a1,f102(a1)),x89012))) % 194.45/194.26 [8936]~P1(f324(f324(f235(a1),x89361),x89362))+P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x89361),x89361)),a99)),f324(f324(f79(a1),x89362),x89362))) % 194.45/194.26 [8938]~P1(f324(f324(f235(a1),x89381),x89382))+P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x89381),x89381)),a99)),f324(f324(f79(a1),x89382),x89382))) % 194.45/194.26 [9011]~P1(f324(f324(f326(a920),x90111),f324(f172(a920),x90112)))+P1(f324(f324(f234(a920),x90111),f324(f142(a920,a920,f79(a920),f2(a920)),x90112))) % 194.45/194.26 [9103]P45(x91031,x91032)+~P1(f324(f324(f326(f927(x91031,x91031)),f324(f324(f252(x91031,x91031),f433(x91032,x91031)),f433(x91032,x91031))),x91032)) % 194.45/194.26 [9104]P36(x91041,x91042)+~P1(f324(f324(f326(f927(x91041,x91041)),f324(f324(f252(x91041,x91041),f820(x91042,x91041)),f822(x91042,x91041))),x91042)) % 194.45/194.26 [9105]P52(x91051,x91052)+~P1(f324(f324(f326(f927(x91051,x91051)),f324(f324(f252(x91051,x91051),f833(x91052,x91051)),f832(x91052,x91051))),x91052)) % 194.45/194.26 [9247]~P1(f324(f324(f234(f928(a1,a916)),f324(f307(a920,a1,f102(a1)),x92471)),f324(f307(a920,a1,f102(a1)),x92472)))+P1(f324(f324(f234(f928(a920,a916)),x92471),x92472)) % 194.45/194.26 [9248]~P1(f324(f324(f235(f928(a1,a916)),f324(f307(a920,a1,f102(a1)),x92481)),f324(f307(a920,a1,f102(a1)),x92482)))+P1(f324(f324(f235(f928(a920,a916)),x92481),x92482)) % 194.45/194.26 [9344]P1(f324(f324(f235(a1),x93441),x93442))+~P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x93441),x93441)),a99)),f324(f324(f79(a1),x93442),x93442))) % 194.45/194.26 [9346]P1(f324(f324(f235(a1),x93461),x93462))+~P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x93461),x93461)),a99)),f324(f324(f79(a1),x93462),x93462))) % 194.45/194.26 [10227]~P109(x102271)+E(f118(f921(x102271),f324(f130(f921(x102271)),f115(x102271)),f324(f324(f324(f96(f922(f921(x102271))),f324(f324(f235(a1),f2(a1)),x102272)),f324(f120(f927(x102271,f921(x102271)),f921(x102271),f131(x102271,f921(x102271),f132(x102271,f324(f324(f3(a1),x102272),f77(a1))),f132(f921(x102271),f324(f324(f3(a1),x102272),f77(a1))))),f324(f257(x102271,f921(x102271),f922(f921(x102271))),f324(f324(f10(f928(f921(x102271),f921(x102271)),f928(f921(x102271),f922(f921(x102271))),x102271),f324(f10(f921(x102271),f922(f921(x102271)),f921(x102271)),f130(f921(x102271)))),f151(x102271))))),f117(f921(x102271)))),f132(f921(x102271),x102272)) % 194.45/194.26 [10249]~P1(f324(f61(x102491),x102492))+E(f324(f190(f921(x102491)),f89(f921(x102491),f324(f324(f20(f921(x102491),a916,a916),f324(f324(f10(a916,f928(a916,a916),f921(x102491)),a322),f324(f324(f9(f921(x102491),f928(x102491,a916),a916),f324(f324(f10(f928(x102491,a916),f928(f928(x102491,a916),a916),f921(x102491)),a321),f172(x102491))),x102492))),f137(x102491)))),f215(x102491,x102492)) % 194.45/194.26 [6211]E(f324(f324(f79(a920),f324(f324(f3(a920),x62111),x62112)),x62112),x62111)+~P1(f324(f324(f234(a920),x62112),x62111)) % 194.45/194.26 [6284]E(f324(f324(f36(a920),f324(f324(f80(a920),x62841),x62842)),x62842),x62841)+~P1(f324(f324(f235(a920),f2(a920)),x62842)) % 194.45/194.26 [6285]E(f324(f324(f36(a920),f324(f324(f80(a920),x62851),x62852)),x62851),x62852)+~P1(f324(f324(f235(a920),f2(a920)),x62851)) % 194.45/194.26 [6289]~P77(x62891)+E(f324(f324(f8(a920,x62891),f324(f164(x62891),x62892)),f324(f299(a920,f2(a920)),f324(f190(f921(x62891)),x62892))),f324(f165(x62891),x62892)) % 194.45/194.26 [6399]E(f45(a920,f324(a114,f324(f324(f80(a920),x63991),x63992)),x63991),f77(a920))+~P1(f324(f324(f235(a920),f77(a920)),x63991)) % 194.45/194.26 [6405]E(f324(a114,f324(f324(f79(a920),f324(f105(a920),x64051)),x64052)),f324(f324(f79(a920),f77(a920)),x64052))+~P1(f324(a194,f324(f105(a1),x64051))) % 194.45/194.26 [6434]E(f324(a106,f324(f324(f244(a1),f324(f105(a1),x64341)),x64342)),f324(f324(f244(a920),f324(f105(a920),x64341)),x64342))+P1(f324(a194,f324(f105(a1),x64341))) % 194.45/194.26 [6675]E(f324(f324(f3(a920),x66751),f324(f105(a920),f324(f324(f79(a1),x66752),a99))),f324(f324(f3(a920),f324(a114,x66751)),f324(f105(a920),x66752)))+~P1(f324(f324(f235(a1),a82),x66752)) % 194.45/194.26 [6757]E(x67571,f2(a920))+E(f324(a114,f324(f324(f79(a920),f324(f324(f3(a920),x67571),f77(a920))),x67572)),f324(f324(f79(a920),x67571),x67572)) % 194.45/194.26 [6796]E(x67961,f2(a1))+P1(f324(f324(f235(a1),f2(a1)),f324(f324(f244(a1),f324(f75(a1),x67961)),x67962))) % 194.45/194.26 [6812]~E(x68122,f2(a920))+P1(f324(f324(f235(a1),f2(a1)),f324(f324(f244(a1),f324(f75(a1),x68121)),x68122))) % 194.45/194.26 [6850]E(x68501,f2(a920))+E(f324(f324(f79(a920),x68502),f324(f324(f80(a920),f324(f324(f3(a920),x68501),f77(a920))),x68502)),f324(f324(f80(a920),x68501),x68502)) % 194.45/194.26 [6895]~P1(f324(f324(f234(a1),x68951),x68952))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x68951),a99)),x68952)) % 194.45/194.26 [7023]E(f324(f324(f151(a920),x70231),f139(a920,f324(f299(a920,f324(a114,x70231)),x70232))),f139(a920,f324(f299(a920,x70231),x70232)))+~P1(f324(f324(f235(a920),x70231),x70232)) % 194.45/194.26 [7224]E(x72241,x72242)+~E(f324(f324(f3(a1),f324(f324(f79(a1),x72241),x72241)),a99),f324(f324(f3(a1),f324(f324(f79(a1),x72242),x72242)),a99)) % 194.45/194.26 [7227]E(x72271,f115(x72272))+E(f266(x72272,f324(f324(f154(x72272,f927(a101,x72272)),f324(f252(a101,x72272),f77(a101))),x72271)),f273(x72272,x72271)) % 194.45/194.26 [7464]P1(f324(f324(f234(a1),x74641),x74642))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),x74641),a99)),x74642)) % 194.45/194.26 [7938]~P1(f324(f324(f235(a920),x79381),x79382))+P1(f324(f324(f326(f927(a920,a920)),f324(f324(f252(a920,a920),x79381),x79382)),a240)) % 194.45/194.26 [8169]~P1(f324(f324(f235(a101),f2(a101)),x81691))+P1(f324(f324(f235(a101),f324(f251(a101,f927(a101,a101)),f324(f267(x81691),x81692))),x81691)) % 194.45/194.26 [8430]~P36(x84301,x84302)+P36(x84301,f324(f324(f112(f928(f927(x84301,x84301),a916)),x84302),f304(x84301,f189(f928(f927(x84301,x84301),a916))))) % 194.45/194.26 [8431]~P37(x84311,x84312)+P37(x84311,f324(f324(f112(f928(f927(x84311,x84311),a916)),x84312),f304(x84311,f189(f928(f927(x84311,x84311),a916))))) % 194.45/194.26 [8480]~P95(x84801)+P1(f324(f324(f234(x84801),f324(f75(x84801),f324(f165(x84801),x84802))),f324(f165(x84801),f324(f324(f154(x84801,x84801),f75(x84801)),x84802)))) % 194.45/194.26 [8505]P1(f324(f324(f235(a920),x85051),x85052))+~P1(f324(f324(f326(f927(a920,a920)),f324(f324(f252(a920,a920),x85051),x85052)),a240)) % 194.45/194.26 [8657]E(f324(f324(f252(x86571,x86571),f666(x86572,x86571)),f666(x86572,x86571)),x86572)+~P1(f324(f324(f326(f927(x86571,x86571)),x86572),f304(x86571,f189(f928(f927(x86571,x86571),a916))))) % 194.45/194.26 [8700]E(f324(f299(a920,x87001),f324(f324(f79(a920),x87001),f324(f35(a920),x87002))),x87002)+~P1(f324(f324(f234(f928(a920,a916)),x87002),f324(f299(a920,x87001),f324(f324(f79(a920),x87001),f324(f35(a920),x87002))))) % 194.45/194.26 [8929]P37(x89291,x89292)+~P37(x89291,f324(f324(f112(f928(f927(x89291,x89291),a916)),x89292),f304(x89291,f189(f928(f927(x89291,x89291),a916))))) % 194.45/194.26 [9058]E(f324(f324(f36(a1),f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),x90581),x90581)),a99))),f324(f105(a1),f324(f324(f79(a1),x90582),x90582))),f324(f324(f36(a1),f324(f105(a1),x90581)),f324(f105(a1),x90582)))+~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x90582))) % 194.45/194.26 [9148]~P36(x91481,x91482)+P1(f324(f324(f234(f928(f927(x91481,x91481),a916)),f324(f324(f286(x91481,x91481,x91481),x91482),x91482)),x91482)) % 194.45/194.26 [9174]E(f177(f921(x91741),f324(f324(f10(a916,a916,f921(x91741)),a319),f324(f324(f9(f921(x91741),f921(x91741),a916),a321),f115(x91741))),x91742),f179(x91741,f179(x91741,x91742)))+~P10(a920,f324(f168(a920),f324(f324(f154(f921(x91741),a920),f190(f921(x91741))),x91742))) % 194.45/194.26 [9177]E(f324(f324(f36(a1),f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),x91771),x91771)),a99))),f324(f105(a1),f324(f324(f79(a1),x91772),x91772))),f324(f324(f36(a1),f324(f324(f79(a1),f324(f105(a1),x91771)),f77(a1))),f324(f105(a1),x91772)))+P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x91772))) % 194.45/194.26 [10036]P1(f324(a194,x100362))+E(f324(f324(f85(a1,a920),f324(f324(f3(a1),x100361),x100362)),f324(f324(f20(a1,a920,a920),f324(f324(f9(a1,a920,f928(a920,a920)),f324(f324(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),a106)),f324(f324(f3(a920),f324(a106,x100361)),f324(a106,x100362))) % 194.45/194.26 [10044]E(f324(f324(f85(a1,a920),f324(f105(a1),f324(f324(f79(a1),x100441),f324(f78(a1),x100442)))),f324(f324(f20(a1,a920,a920),f324(f324(f9(a1,a920,f928(a920,a920)),f324(f324(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),a106)),f324(f324(f3(a920),f324(f105(a920),x100441)),f324(f105(a920),x100442)))+P1(f324(f324(f235(a1),x100442),a82)) % 194.45/194.26 [10045]~P24(x100451,x100452)+P1(f324(f324(f234(f928(f927(x100451,x100451),a916)),f324(f324(f286(x100451,x100451,x100451),f324(f251(f928(f927(x100451,x100451),a916),f928(f927(x100451,x100451),a916)),x100452)),f324(f256(f928(f927(x100451,x100451),a916),f928(f927(x100451,x100451),a916)),x100452))),f324(f251(f928(f927(x100451,x100451),a916),f928(f927(x100451,x100451),a916)),x100452))) % 194.45/194.26 [10102]~E(f324(f35(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,f928(a920,a916),a916),f326(a920)),x101021))),f324(f324(f9(a920,a920,a916),f235(a920)),f324(a114,x101022))))),f2(a920))+~P1(f324(f324(f326(a920),f2(a920)),x101021)) % 194.45/194.26 [10157]E(f45(a1,f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),x101571),x101571)),a99)),f324(f105(a1),f324(f324(f79(a1),x101572),x101572))),f324(f324(f79(a1),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f45(a1,f324(f105(a1),x101571),f324(f105(a1),x101572)))),f77(a1)))+~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x101572))) % 194.45/194.26 [10166]E(f45(a1,f324(f105(a1),f324(f324(f3(a1),f324(f324(f79(a1),x101661),x101661)),a99)),f324(f105(a1),f324(f324(f79(a1),x101662),x101662))),f324(f324(f3(a1),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f45(a1,f324(f324(f79(a1),f324(f105(a1),x101661)),f77(a1)),f324(f105(a1),x101662)))),f77(a1)))+P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x101662))) % 194.45/194.26 [10215]~P2(x102151)+E(f37(x102151,f324(f262(x102151),f324(f324(f10(f928(x102151,a916),a916,x102151),f87(x102151)),f324(f324(f10(f928(x102151,a916),f928(x102151,a916),x102151),f324(f20(x102151,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102151),a327),f324(f324(f9(x102151,f928(x102151,a916),a916),f326(x102151)),x102152)))),f234(x102151))))),f38(x102151,x102152)) % 194.45/194.26 [10242]~P35(x102421,x102422)+P60(x102421,f324(f324(f9(x102421,f928(f927(x102421,x102421),a916),f928(x102421,a916)),f324(f324(f10(f928(x102421,f928(f928(f927(x102421,x102421),a916),a916)),f928(f928(f927(x102421,x102421),a916),f928(x102421,a916)),x102421),f9(x102421,f928(f927(x102421,x102421),a916),a916)),f324(f324(f10(f928(x102421,f927(x102421,x102421)),f928(x102421,f928(f928(f927(x102421,x102421),a916),a916)),x102421),f324(f10(f927(x102421,x102421),f928(f928(f927(x102421,x102421),a916),a916),x102421),f326(f927(x102421,x102421)))),f252(x102421,x102421)))),x102422)) % 194.45/194.26 [10243]~P5(x102431,f242(f928(x102431,a916)),x102432)+P4(x102431,f324(f324(f9(x102431,f928(f927(x102431,x102431),a916),f928(x102431,a916)),f324(f324(f10(f928(x102431,f928(f928(f927(x102431,x102431),a916),a916)),f928(f928(f927(x102431,x102431),a916),f928(x102431,a916)),x102431),f9(x102431,f928(f927(x102431,x102431),a916),a916)),f324(f324(f10(f928(x102431,f927(x102431,x102431)),f928(x102431,f928(f928(f927(x102431,x102431),a916),a916)),x102431),f324(f10(f927(x102431,x102431),f928(f928(f927(x102431,x102431),a916),a916),x102431),f326(f927(x102431,x102431)))),f252(x102431,x102431)))),x102432)) % 194.45/194.26 [10287]P35(x102871,x102872)+~P60(x102871,f324(f324(f9(x102871,f928(f927(x102871,x102871),a916),f928(x102871,a916)),f324(f324(f10(f928(x102871,f928(f928(f927(x102871,x102871),a916),a916)),f928(f928(f927(x102871,x102871),a916),f928(x102871,a916)),x102871),f9(x102871,f928(f927(x102871,x102871),a916),a916)),f324(f324(f10(f928(x102871,f927(x102871,x102871)),f928(x102871,f928(f928(f927(x102871,x102871),a916),a916)),x102871),f324(f10(f927(x102871,x102871),f928(f928(f927(x102871,x102871),a916),a916),x102871),f326(f927(x102871,x102871)))),f252(x102871,x102871)))),x102872)) % 194.45/194.26 [10288]P5(x102881,f242(f928(x102881,a916)),x102882)+~P4(x102881,f324(f324(f9(x102881,f928(f927(x102881,x102881),a916),f928(x102881,a916)),f324(f324(f10(f928(x102881,f928(f928(f927(x102881,x102881),a916),a916)),f928(f928(f927(x102881,x102881),a916),f928(x102881,a916)),x102881),f9(x102881,f928(f927(x102881,x102881),a916),a916)),f324(f324(f10(f928(x102881,f927(x102881,x102881)),f928(x102881,f928(f928(f927(x102881,x102881),a916),a916)),x102881),f324(f10(f927(x102881,x102881),f928(f928(f927(x102881,x102881),a916),a916),x102881),f326(f927(x102881,x102881)))),f252(x102881,x102881)))),x102882)) % 194.45/194.26 [7413]E(f324(f324(f79(a920),f324(f105(a920),f324(f324(f3(a1),x74131),a99))),x74132),f324(a114,f324(f324(f79(a920),f324(f105(a920),x74131)),x74132)))+P1(f324(a194,f324(f105(a1),x74131))) % 194.45/194.26 [7856]~P102(x78561)+E(f324(f324(f79(x78561),f324(f324(f79(x78561),f77(x78561)),f324(f105(x78561),x78562))),f324(f105(x78561),x78562)),f324(f105(x78561),f324(f324(f3(a1),f324(f324(f79(a1),x78562),x78562)),a99))) % 194.45/194.26 [8507]~P1(f324(f324(f234(a1),x85071),x85072))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x85071),x85071)),f324(f324(f3(a1),f324(f324(f79(a1),x85072),x85072)),a99))) % 194.45/194.26 [8509]~P1(f324(f324(f234(a1),x85091),x85092))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x85091),x85091)),f324(f324(f3(a1),f324(f324(f79(a1),x85092),x85092)),a99))) % 194.45/194.26 [8940]P1(f324(f324(f234(a1),x89401),x89402))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),x89401),x89401)),f324(f324(f3(a1),f324(f324(f79(a1),x89402),x89402)),a99))) % 194.45/194.26 [8942]P1(f324(f324(f234(a1),x89421),x89422))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),x89421),x89421)),f324(f324(f3(a1),f324(f324(f79(a1),x89422),x89422)),a99))) % 194.45/194.26 [9236]~P1(f324(f324(f234(a1),x92361),x92362))+P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92361),x92361)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),x92362),x92362)),a99))) % 194.45/194.26 [9238]~P1(f324(f324(f235(a1),x92381),x92382))+P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x92381),x92381)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),x92382),x92382)),a99))) % 194.45/194.26 [9519]P1(f324(f324(f234(a1),x95191),x95192))+~P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),x95191),x95191)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),x95192),x95192)),a99))) % 194.45/194.26 [9521]P1(f324(f324(f235(a1),x95211),x95212))+~P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),x95211),x95211)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),x95212),x95212)),a99))) % 194.45/194.26 [9554]~P1(f324(f61(x95541),x95542))+P1(f324(f61(f928(x95541,a916)),f324(f262(f928(x95541,a916)),f324(f324(f9(f928(x95541,a916),f928(x95541,a916),a916),f234(f928(x95541,a916))),x95542)))) % 194.45/194.26 [9605]~E(f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),x96051),f189(f928(f927(a920,a920),a916)))),f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),x96052),f189(f928(f927(a920,a920),a916)))))+P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),x96051),x96052)),a110)) % 194.45/194.26 [9693]E(f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),x96931),f189(f928(f927(a920,a920),a916)))),f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),x96932),f189(f928(f927(a920,a920),a916)))))+~P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),x96931),x96932)),a110)) % 194.45/194.26 [9729]P1(f324(f324(f234(a1),f2(a1)),f674(x97291,x97292)))+E(f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x97291)),f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x97292))) % 194.45/194.26 [10226]~P2(x102261)+E(f38(x102261,f324(f262(x102261),f324(f324(f10(f928(x102261,a916),a916,x102261),f87(x102261)),f324(f324(f10(f928(x102261,a916),f928(x102261,a916),x102261),f324(f20(x102261,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102261),a327),f324(f324(f9(x102261,f928(x102261,a916),a916),f326(x102261)),x102262)))),f324(f9(x102261,x102261,a916),f234(x102261)))))),f37(x102261,x102262)) % 194.45/194.26 [10248]P1(f324(f324(f326(a920),f2(a920)),x102481))+E(f324(f35(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,f928(a920,a916),a916),f324(f324(f10(a920,f928(f928(a920,a916),a916),a920),f326(a920)),a114)),x102481))),f324(f324(f9(a920,a920,a916),f235(a920)),x102482)))),f324(f35(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,f928(a920,a916),a916),f326(a920)),x102481))),f324(f324(f9(a920,a920,a916),f235(a920)),f324(a114,x102482)))))) % 194.45/194.26 [7726]~P102(x77261)+E(f324(f324(f80(x77261),x77262),f324(f105(x77261),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),x77262) % 194.45/194.26 [7991]~P102(x79911)+E(f324(f324(f79(x79911),f324(f105(x79911),x79912)),f77(x79911)),f324(f105(x79911),f324(f324(f79(a1),x79912),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))) % 194.45/194.26 [8140]P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x81402)))+E(f324(f324(f244(a1),x81401),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),x81402),x81402)),a99))),f77(a1)) % 194.45/194.26 [9579]~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x95792)))+E(f324(f324(f244(a1),x95791),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),x95792),x95792)),a99))),f324(f324(f85(a1,a1),f324(f324(f244(a1),x95791),f324(f105(a920),x95792))),f324(f324(f20(a1,a1,a1),f324(f324(f10(a1,f928(a1,a1),a1),f80(a1)),f324(f80(a1),x95791))),f7(a1)))) % 194.45/194.26 [9954]~P1(f324(f324(f234(a920),f678(x99542,x99541)),f324(x99541,f678(x99542,x99541))))+P1(f324(f61(a920),f324(f262(a920),f324(f324(f9(a920,a920,a916),f324(f324(f10(a920,f928(a920,a916),a920),f234(a920)),x99541)),x99542)))) % 194.45/194.26 [10092]~P1(f324(f324(f234(a920),f324(f105(a920),x100921)),f324(a114,x100922)))+P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x100921),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),f234(a920)),a106)),x100922)))) % 194.45/194.26 [10093]~P1(f324(f324(f235(a920),f324(f105(a920),x100931)),f324(a114,x100932)))+P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x100931),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),f235(a920)),a106)),x100932)))) % 194.45/194.26 [10141]P1(f324(f324(f234(a920),f324(f105(a920),x101411)),f324(a114,x101412)))+~P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x101411),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),f234(a920)),a106)),x101412)))) % 194.45/194.26 [10142]P1(f324(f324(f235(a920),f324(f105(a920),x101421)),f324(a114,x101422)))+~P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x101421),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),f235(a920)),a106)),x101422)))) % 194.45/194.26 [10172]~P1(f324(f324(f234(a920),f324(a114,x101722)),f324(f105(a920),x101721)))+P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x101721),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f10(a920,a916,a1),f324(f234(a920),x101722)),a106))))) % 194.45/194.26 [10173]~P1(f324(f324(f235(a920),f324(a114,x101732)),f324(f105(a920),x101731)))+P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x101731),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f10(a920,a916,a1),f324(f235(a920),x101732)),a106))))) % 194.45/194.26 [10213]P1(f324(f324(f234(a920),f324(a114,x102131)),f324(f105(a920),x102132)))+~P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x102132),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f10(a920,a916,a1),f324(f234(a920),x102131)),a106))))) % 194.45/194.26 [10214]P1(f324(f324(f235(a920),f324(a114,x102141)),f324(f105(a920),x102142)))+~P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x102142),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f10(a920,a916,a1),f324(f235(a920),x102141)),a106))))) % 194.45/194.26 [10297]~P1(f324(f324(f326(a920),f2(a920)),x102971))+E(f324(a114,f324(f35(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,f928(a920,a916),a916),f324(f324(f10(a920,f928(f928(a920,a916),a916),a920),f326(a920)),a114)),x102971))),f324(f324(f9(a920,a920,a916),f235(a920)),x102972))))),f324(f35(a920),f324(f262(a920),f324(f324(f20(a920,a916,a916),f324(f324(f10(a916,f928(a916,a916),a920),a322),f324(f324(f9(a920,f928(a920,a916),a916),f326(a920)),x102971))),f324(f324(f9(a920,a920,a916),f235(a920)),f324(a114,x102972)))))) % 194.45/194.26 [8683]~P102(x86831)+E(f324(f324(f80(x86831),f324(f105(x86831),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),x86832),x86832) % 194.45/194.26 [8744]~P102(x87441)+E(f324(f324(f79(x87441),f77(x87441)),f324(f105(x87441),x87442)),f324(f105(x87441),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),x87442))) % 194.45/194.26 [8806]~P102(x88061)+E(f324(f324(f3(x88061),f324(f105(x88061),x88062)),f77(x88061)),f324(f105(x88061),f324(f324(f79(a1),x88062),f324(f78(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.26 [8959]~P1(f324(f324(f235(a920),f324(f105(a920),a82)),x89592))+E(f324(f324(f3(a920),x89591),f324(f324(f3(a920),x89592),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f3(a920),f324(a114,x89591)),x89592)) % 194.45/194.26 [9623]~P121(x96231)+E(f324(f324(f80(x96231),x96232),x96232),f324(f324(f244(x96231),x96232),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.26 [9624]~P88(x96241)+E(f324(f324(f244(x96241),x96242),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f80(x96241),x96242),x96242)) % 194.45/194.26 [9626]~P102(x96261)+E(f324(f324(f80(x96261),x96262),f324(f105(x96261),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f79(x96261),x96262),x96262)) % 194.45/194.26 [9870]~P144(x98701)+E(f324(f324(f244(x98701),f324(f78(x98701),x98702)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f244(x98701),x98702),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.26 [9871]~P125(x98711)+E(f324(f324(f244(x98711),f324(f75(x98711),x98712)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f244(x98711),x98712),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.26 [9867]~P102(x98671)+E(f324(f324(f80(x98671),f324(f105(x98671),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x98672),f324(f324(f79(x98671),x98672),x98672)) % 194.45/194.26 [9989]~P125(x99891)+E(f324(f75(x99891),f324(f324(f244(x99891),x99892),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x99891),x99892),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.26 [10052]~P125(x100521)+P1(f324(f324(f234(x100521),f2(x100521)),f324(f324(f244(x100521),x100522),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.26 [10204]~E(f324(a114,x102042),f324(f105(a920),x102041))+P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x102041),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),a321),a106)),x102042))))) % 194.45/194.26 [10205]~E(f324(f105(a920),x102051),f324(a114,x102052))+P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x102051),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),a321),a106)),x102052))))) % 194.45/194.26 [10251]E(f324(a114,x102511),f324(f105(a920),x102512))+~P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x102512),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),a321),a106)),x102511))))) % 194.45/194.26 [10252]E(f324(f105(a920),x102521),f324(a114,x102522))+~P1(f324(f324(f85(a1,a916),f324(f105(a1),f324(f324(f79(a1),x102521),a99))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a327),f324(f324(f10(a916,a916,a1),a319),a194))),f324(f324(f9(a1,a920,a916),f324(f324(f10(a920,f928(a920,a916),a1),a321),a106)),x102522))))) % 194.45/194.26 [10298]~P13(x102981,x102982)+P1(f324(f324(f326(f928(x102981,a916)),f841(x102982,x102981)),f324(f324(f10(f928(x102981,a916),a916,f928(x102981,a916)),f86(x102981)),f324(f324(f10(f928(x102981,a916),f928(x102981,a916),f928(x102981,a916)),f324(f20(x102981,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102981),a322),f324(f324(f20(x102981,x102981,a916),x102982),f7(x102981))))),f324(f324(f9(f928(x102981,a916),f928(x102981,f928(x102981,a916)),f928(x102981,a916)),f324(f324(f10(f928(f928(x102981,a916),a916),f928(f928(x102981,f928(x102981,a916)),f928(x102981,a916)),f928(x102981,a916)),f10(f928(x102981,a916),a916,x102981)),a321)),x102982))))) % 194.45/194.26 [10050]~P102(x100501)+E(f324(f324(f244(x100501),f324(f105(x100501),a99)),f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x100502)),f77(x100501)) % 194.45/194.26 [10051]~P144(x100511)+E(f324(f324(f244(x100511),f324(f78(x100511),f77(x100511))),f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x100512)),f77(x100511)) % 194.45/194.26 [10054]~P88(x100541)+E(f324(f324(f244(x100541),x100542),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),a99))),f324(f324(f80(x100541),f324(f324(f80(x100541),x100542),x100542)),x100542)) % 194.45/194.26 [10231]~P1(f324(f324(f234(a1),f2(a1)),x102312))+E(f45(a1,f324(f324(f79(a1),f77(a1)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102311)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102312)),f324(f324(f79(a1),f77(a1)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f45(a1,x102311,x102312)))) % 194.45/194.26 [10254]~P1(f324(f324(f234(a1),f2(a1)),x102542))+E(f324(f324(f36(a1),f324(f324(f79(a1),f77(a1)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102541))),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102542)),f324(f324(f36(a1),x102541),x102542)) % 194.45/194.26 [10256]~P1(f324(f324(f234(a1),x102562),f2(a1)))+E(f324(f324(f36(a1),f324(f324(f79(a1),f77(a1)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102561))),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102562)),f324(f324(f36(a1),f324(f324(f79(a1),x102561),f77(a1))),x102562)) % 194.45/194.26 [10257]~P1(f324(f324(f234(a1),x102572),f2(a1)))+E(f45(a1,f324(f324(f79(a1),f77(a1)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102571)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102572)),f324(f324(f3(a1),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f45(a1,f324(f324(f79(a1),x102571),f77(a1)),x102572))),f77(a1))) % 194.45/194.26 [10132]~P102(x101321)+E(f324(f324(f244(x101321),f324(f105(x101321),a99)),f324(a114,f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101322))),f324(f105(x101321),a99)) % 194.45/194.26 [10134]~P144(x101341)+E(f324(f324(f244(x101341),f324(f78(x101341),f77(x101341))),f324(a114,f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101342))),f324(f78(x101341),f77(x101341))) % 194.45/194.26 [5073]P36(x50731,x50732)+~P5(x50731,x50733,x50732) % 194.45/194.26 [5075]P52(x50751,x50752)+~P5(x50751,x50753,x50752) % 194.45/194.26 [5248]~P5(x52481,x52482,x52483)+P53(x52481,x52482,x52483) % 194.45/194.26 [6267]E(x62671,x62672)+~P40(a25,x62671,x62673,x62672) % 194.45/194.26 [8207]~E(x82072,x82073)+P32(x82071,x82071,a321,x82072,x82073) % 194.45/194.26 [8757]E(x87571,x87572)+~P32(x87573,x87573,a321,x87571,x87572) % 194.45/194.26 [4880]E(f169(x48801,x48802,x48803),f115(x48801))+~E(x48802,f2(a920)) % 194.45/194.26 [5048]~E(f169(x50482,x50481,x50483),f115(x50482))+E(x50481,f2(a920)) % 194.45/194.26 [5253]~P35(x52531,x52533)+P35(x52531,f318(x52531,x52532,x52533)) % 194.45/194.26 [5366]~P28(x53661,x53662,x53663)+P29(a1,x53661,f178(x53662,x53663)) % 194.45/194.26 [5421]P25(x54211,x54212,x54213)+~P25(x54211,f324(a114,x54212),x54213) % 194.45/194.26 [5439]P28(x54391,x54392,x54393)+~P29(a1,x54391,f178(x54392,x54393)) % 194.45/194.26 [5509]~P5(x55091,x55092,x55093)+P5(f921(x55091),f161(x55091,x55092),f158(x55091,x55093)) % 194.45/194.26 [5510]~P53(x55101,x55102,x55103)+P53(f921(x55101),f161(x55101,x55102),f158(x55101,x55103)) % 194.45/194.26 [5619]P55(x56191,x56192,x56193)+~E(f626(x56193,x56192,x56191),f627(x56193,x56192,x56191)) % 194.45/194.26 [5620]P56(x56201,x56202,x56203)+~E(f647(x56203,x56202,x56201),f648(x56203,x56202,x56201)) % 194.45/194.26 [6580]P26(x65801,x65802,x65803)+~P25(x65801,f651(x65803,x65802,x65801),f770(x65803,x65802,x65801)) % 194.45/194.26 [8213]~E(x82132,x82133)+P23(x82131,x82131,f31(x82131),x82132,x82133) % 194.45/194.26 [8765]E(x87651,x87652)+~P23(x87653,x87653,f31(x87653),x87651,x87652) % 194.45/194.26 [4835]~E(f324(f168(x48352),x48351),x48353)+E(x48351,f324(f168(x48352),x48353)) % 194.45/194.26 [4836]~E(x48362,f324(f168(x48361),x48363))+E(f324(f168(x48361),x48362),x48363) % 194.45/194.26 [4886]E(x48861,x48862)+~E(f324(f168(x48863),x48861),f324(f168(x48863),x48862)) % 194.45/194.26 [5099]~P4(x50993,x50991)+P1(f324(f324(x50991,x50992),x50992)) % 194.45/194.26 [5100]~P48(x51003,x51001)+P1(f324(f324(x51001,x51002),x51002)) % 194.45/194.26 [5102]~P60(x51021,x51022)+P1(f324(f312(x51021,x51022),x51023)) % 194.45/194.26 [5166]~P35(x51661,x51662)+P35(f921(x51661),f324(f143(x51661,x51662),x51663)) % 194.45/194.26 [5171]~P1(f324(x51712,x51713))+~E(f324(f262(x51711),x51712),f189(f928(x51711,a916))) % 194.45/194.26 [5172]~P1(f324(x51722,x51723))+~E(f189(f928(x51721,a916)),f324(f262(x51721),x51722)) % 194.45/194.26 [5184]E(x51841,f2(a920))+E(f144(x51842,f169(x51842,x51841,x51843)),x51843) % 194.45/194.26 [5202]~P1(f324(x52021,x52023))+P1(f324(x52021,f89(x52022,x52021))) % 194.45/194.26 [5203]~P1(f324(x52031,x52033))+P1(f324(x52031,f767(x52031,x52032))) % 194.45/194.26 [5215]E(x52151,f2(a920))+E(f324(f141(x52152),f169(x52152,x52151,x52153)),x52153) % 194.45/194.26 [5328]~E(x53282,x53283)+P1(f324(f324(f326(x53281),x53282),f324(a321,x53283))) % 194.45/194.26 [5344]~E(x53442,f2(a920))+E(f324(f172(x53441),f169(x53441,x53442,x53443)),f189(f928(x53441,a916))) % 194.45/194.26 [5388]E(f324(f168(x53881),x53882),f324(f324(f151(x53881),x53883),f115(x53881)))+~E(x53882,f324(f324(f151(x53881),x53883),f115(x53881))) % 194.45/194.26 [5389]~E(x53893,f324(f324(f151(x53891),x53892),f115(x53891)))+E(f324(f324(f151(x53891),x53892),f115(x53891)),f324(f168(x53891),x53893)) % 194.45/194.26 [5435]~P31(x54351,x54352,x54353)+P31(x54351,x54352,f324(f168(x54351),x54353)) % 194.45/194.26 [5436]~P29(x54361,x54362,x54363)+P29(x54361,x54362,f324(f168(x54361),x54363)) % 194.45/194.26 [5440]E(f324(f35(x54401),f332(x54402,x54403,x54401)),x54402)+~E(f324(f35(x54401),x54403),f324(a114,x54402)) % 194.45/194.26 [5447]~P35(x54471,x54473)+P1(f324(f324(f326(x54471),x54472),f313(x54471,x54473))) % 194.45/194.26 [5451]~E(f324(f168(x54512),x54511),f324(f324(f151(x54512),x54513),f115(x54512)))+E(x54511,f324(f324(f151(x54512),x54513),f115(x54512))) % 194.45/194.26 [5452]~E(f324(f324(f151(x54522),x54523),f115(x54522)),f324(f168(x54522),x54521))+E(x54521,f324(f324(f151(x54522),x54523),f115(x54522))) % 194.45/194.26 [5475]E(f84(f927(a920,a920),f48(x54751,x54752)),x54753)+~P1(f324(f48(x54751,x54752),x54753)) % 194.45/194.26 [5513]P31(x55131,x55132,x55133)+~P31(x55131,x55132,f324(f168(x55131),x55133)) % 194.45/194.26 [5514]P29(x55141,x55142,x55143)+~P29(x55141,x55142,f324(f168(x55141),x55143)) % 194.45/194.26 [5573]~E(x55732,f115(x55731))+P1(f324(f324(f326(f921(x55731)),x55732),f161(x55731,x55733))) % 194.45/194.26 [5582]~P53(x55821,x55822,x55823)+P53(x55821,x55822,f324(f284(x55821,x55821),x55823)) % 194.45/194.26 [5583]~P56(x55831,x55832,x55833)+P56(x55831,x55832,f324(f284(x55831,x55831),x55833)) % 194.45/194.26 [5600]~P67(x56001)+E(f45(x56001,f45(x56001,x56002,x56003),x56003),f45(x56001,x56002,x56003)) % 194.45/194.26 [5702]E(x57021,x57022)+~P1(f324(f324(f326(x57023),x57021),f324(a321,x57022))) % 194.45/194.26 [5749]~P114(x57491)+E(f191(x57491,x57492,f2(a920),x57493),x57493) % 194.45/194.26 [5771]P53(x57711,x57712,x57713)+~P53(x57711,x57712,f324(f284(x57711,x57711),x57713)) % 194.45/194.26 [5772]P56(x57721,x57722,x57723)+~P56(x57721,x57722,f324(f284(x57721,x57721),x57723)) % 194.45/194.26 [5776]~P112(x57762)+E(f150(x57761,x57762,x57763,f115(x57761)),f115(x57761)) % 194.45/194.26 [5789]E(f170(x57891,x57892,f152(x57891,x57893)),f152(x57891,f170(x57891,x57892,x57893)))+~P1(f324(f137(x57891),x57893)) % 194.45/194.26 [5889]E(f324(f136(x58891,x58892),x58893),f115(x58891))+P1(f324(x58892,f702(x58893,x58892,x58891))) % 194.45/194.26 [5947]E(f68(x59471,x59472,x59473),x59472)+P1(f324(x59473,f768(x59472,x59471,x59473))) % 194.45/194.26 [6042]~P1(f324(f137(x60421),x60422))+P1(f324(f137(x60421),f176(x60421,x60422,x60423))) % 194.45/194.26 [6043]~P1(f324(f137(x60431),x60433))+P1(f324(f137(x60431),f170(x60431,x60432,x60433))) % 194.45/194.26 [6044]~P1(f324(f137(x60441),x60443))+P1(f324(f137(x60441),f177(x60441,x60442,x60443))) % 194.45/194.26 [6045]~P1(f324(f137(x60451),x60453))+P1(f324(f137(x60451),f140(x60451,x60452,x60453))) % 194.45/194.26 [6046]~P149(x60461,x60463,x60462)+P1(f324(x60461,f45(a1,x60462,x60463))) % 194.45/194.26 [6062]~P31(x60623,x60621,x60622)+P1(f324(x60621,f781(x60622,x60621,x60623))) % 194.45/194.26 [6063]~P33(x60633,x60631,x60632)+P1(f324(x60631,f788(x60632,x60631,x60633))) % 194.45/194.26 [6064]~P33(x60643,x60641,x60642)+P1(f324(x60641,f797(x60642,x60641,x60643))) % 194.45/194.26 [6065]~P31(x60653,x60651,x60652)+P1(f324(x60651,f825(x60652,x60651,x60653))) % 194.45/194.26 [6066]~P31(x60663,x60661,x60662)+P1(f324(x60661,f826(x60661,x60662,x60663))) % 194.45/194.26 [6084]E(f324(f136(x60841,x60842),x60843),f177(x60841,x60842,x60843))+P1(f324(x60842,f751(x60843,x60842,x60841))) % 194.45/194.26 [6125]~P1(f324(f137(x61251),x61253))+P1(f324(f137(f921(x61251)),f55(x61251,x61252,x61253))) % 194.45/194.26 [6161]~P113(x61611)+E(f324(f324(f103(f928(x61611,a916)),f324(f280(x61611),x61612)),f300(x61611,x61612,x61613)),f189(f928(x61611,a916))) % 194.45/194.26 [6162]~P113(x61621)+E(f324(f324(f103(f928(x61621,a916)),f324(f298(x61621),x61622)),f303(x61621,x61622,x61623)),f189(f928(x61621,a916))) % 194.45/194.26 [6163]~P113(x61631)+E(f324(f324(f103(f928(x61631,a916)),f324(f298(x61631),x61632)),f302(x61631,x61632,x61633)),f189(f928(x61631,a916))) % 194.45/194.26 [6395]E(f324(f136(x63951,x63952),x63953),x63953)+~P1(f324(x63952,f703(x63953,x63952,x63951))) % 194.45/194.26 [6397]E(f324(f324(f306(x63971),f336(x63972,x63973,x63971)),f332(x63972,x63973,x63971)),x63973)+~E(f324(f35(x63971),x63973),f324(a114,x63972)) % 194.45/194.26 [6412]P149(x64121,x64122,x64123)+~P1(f324(x64121,f45(a1,x64123,x64122))) % 194.45/194.26 [6461]P29(x64611,x64612,x64613)+~P1(f324(x64612,f789(x64613,x64612,x64611))) % 194.45/194.26 [6462]P29(x64621,x64622,x64623)+~P1(f324(x64622,f795(x64622,x64623,x64621))) % 194.45/194.26 [6463]P29(x64631,x64632,x64633)+~P1(f324(x64632,f796(x64633,x64632,x64631))) % 194.45/194.26 [6464]P28(x64641,x64642,x64643)+~P1(f324(x64641,f813(x64643,x64642,x64641))) % 194.45/194.26 [6466]E(f177(x64661,x64662,x64663),x64663)+~P1(f324(x64662,f747(x64663,x64662,x64661))) % 194.45/194.26 [6549]~P1(f324(x65492,f411(x65493,x65492,x65491)))+P1(f324(f248(x65491,x65492),x65493)) % 194.45/194.26 [6550]~P1(f324(x65502,f704(x65503,x65502,x65501)))+P1(f324(f160(x65501,x65502),x65503)) % 194.45/194.26 [6797]~P1(f324(f312(x67971,x67972),f422(x67973,x67972,x67971)))+P1(f324(f312(x67971,x67972),x67973)) % 194.45/194.26 [6798]~P1(f324(f312(x67981,x67982),f437(x67983,x67982,x67981)))+P1(f324(f312(x67981,x67982),x67983)) % 194.45/194.26 [7414]~P67(x74141)+E(f324(f324(f79(x74141),f324(f324(f80(x74141),x74142),f324(f324(f36(x74141),x74143),x74142))),f45(x74141,x74143,x74142)),x74143) % 194.45/194.26 [7443]P28(x74431,x74432,x74433)+P1(f324(f324(f326(a1),f813(x74433,x74432,x74431)),f300(a1,x74432,x74433))) % 194.45/194.26 [7877]E(f324(f324(f252(x78771,x78771),f503(x78772,x78773,x78771)),f503(x78772,x78773,x78771)),x78773)+~P1(f324(f324(f326(f927(x78771,x78771)),x78773),f263(x78771,x78772))) % 194.45/194.26 [7999]~P1(f324(f324(f326(x79991),f553(x79993,x79992,x79991)),f313(x79991,x79993)))+P1(f324(f324(f326(x79991),x79992),f313(x79991,x79993))) % 194.45/194.26 [8000]~P1(f324(f324(f326(x80001),f635(x80003,x80002,x80001)),f313(x80001,x80003)))+P1(f324(f324(f326(x80001),x80002),f313(x80001,x80003))) % 194.45/194.26 [8001]~P1(f324(f324(f326(x80011),f636(x80013,x80012,x80011)),f313(x80011,x80013)))+P1(f324(f324(f326(x80011),x80012),f313(x80011,x80013))) % 194.45/194.26 [8096]P31(a1,x80961,f178(x80962,x80963))+P28(f324(f72(a916,a916,a1,a319),x80961),x80962,x80963) % 194.45/194.26 [8188]~P67(x81881)+E(f324(f324(f79(x81881),f324(f324(f80(x81881),f324(f324(f36(x81881),x81882),x81883)),x81883)),f45(x81881,x81882,x81883)),x81882) % 194.45/194.26 [8236]~E(f324(f35(x82361),x82362),f324(a114,x82363))+~P1(f324(f324(f326(x82361),f336(x82363,x82362,x82361)),f332(x82363,x82362,x82361))) % 194.45/194.26 [8675]~P31(a1,x86751,f178(x86752,x86753))+~P28(f324(f72(a916,a916,a1,a319),x86751),x86752,x86753) % 194.45/194.26 [8861]P1(f324(f324(f234(f928(f927(x88611,x88611),a916)),f304(x88611,x88612)),f304(x88611,x88613)))+~P1(f324(f324(f234(f928(f927(x88611,x88611),a916)),x88612),f304(x88611,x88613))) % 194.45/194.26 [9144]E(x91441,f115(x91442))+~P1(f324(f324(f326(f927(f921(x91442),f921(x91442))),f324(f324(f252(f921(x91442),f921(x91442)),x91441),f115(x91442))),f158(x91442,x91443))) % 194.45/194.26 [9168]E(x91681,f115(x91682))+~P1(f324(f324(f326(f927(f921(x91682),f921(x91682))),f324(f324(f252(f921(x91682),f921(x91682)),f115(x91682)),x91681)),f158(x91682,x91683))) % 194.45/194.26 [9304]E(f324(f324(f151(x93041),f720(x93042,x93043,x93041)),f722(x93042,x93043,x93041)),x93043)+~P1(f324(f324(f326(f927(f921(x93041),f921(x93041))),f324(f324(f252(f921(x93041),f921(x93041)),f115(x93041)),x93043)),f147(x93041,x93042))) % 194.45/194.26 [9547]~P131(x95471)+~P1(f324(f324(f235(x95471),f324(f324(f79(x95471),f324(f324(f80(x95471),x95472),x95472)),f324(f324(f80(x95471),x95473),x95473))),f2(x95471))) % 194.45/194.26 [9598]P1(f324(f61(x95981),x95982))+~P1(f324(f324(f326(f927(f928(x95981,a916),f928(x95981,a916))),f324(f324(f252(f928(x95981,a916),f928(x95981,a916)),x95983),x95982)),f311(x95981))) % 194.45/194.26 [9896]~P46(x98961,x98962,x98963)+P1(f324(f324(f234(a1),f324(f324(f72(f927(a1,a1),a1,x98961,f251(a1,a1)),f213(x98961)),f231(x98961,x98962,f228(x98961,x98963)))),f2(a1))) % 194.45/194.26 [9897]~P47(x98971,x98972,x98973)+P1(f324(f324(f235(a1),f324(f324(f72(f927(a1,a1),a1,x98971,f251(a1,a1)),f213(x98971)),f231(x98971,x98972,f228(x98971,x98973)))),f2(a1))) % 194.45/194.26 [10019]P47(x100191,x100192,x100193)+~P1(f324(f324(f235(a1),f324(f324(f72(f927(a1,a1),a1,x100191,f251(a1,a1)),f213(x100191)),f231(x100191,x100192,f228(x100191,x100193)))),f2(a1))) % 194.45/194.26 [10020]P46(x100201,x100202,x100203)+~P1(f324(f324(f234(a1),f324(f324(f72(f927(a1,a1),a1,x100201,f251(a1,a1)),f213(x100201)),f231(x100201,x100202,f228(x100201,x100203)))),f2(a1))) % 194.45/194.26 [10352]~P125(x103521)+~P1(f324(f324(f235(x103521),f324(f324(f79(x103521),f324(f324(f244(x103521),x103522),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x103521),x103523),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f2(x103521))) % 194.45/194.26 [4865]~E(x48653,f115(x48651))+E(f324(f324(f134(x48651),x48652),x48653),x48652) % 194.45/194.26 [4866]~E(x48662,f115(x48661))+E(f324(f324(f134(x48661),x48662),x48663),x48663) % 194.45/194.26 [4872]~E(x48722,f2(a920))+E(f324(f324(f175(x48721),x48722),x48723),f115(x48721)) % 194.45/194.26 [4881]~E(x48813,f115(x48811))+E(f324(f324(f175(x48811),x48812),x48813),f115(x48811)) % 194.45/194.26 [4920]~E(x49201,x49203)+E(x49201,f324(f324(f134(x49202),f115(x49202)),x49203)) % 194.45/194.26 [5011]~P62(x50112)+E(f324(f189(f928(x50111,x50112)),x50113),f189(x50112)) % 194.45/194.26 [5012]~P115(x50122)+E(f324(f242(f928(x50121,x50122)),x50123),f242(x50122)) % 194.45/194.26 [5030]E(x50301,f115(x50302))+~E(f324(f324(f134(x50302),x50303),x50301),x50303) % 194.45/194.26 [5031]E(x50311,f115(x50312))+~E(f324(f324(f134(x50312),x50311),x50313),x50313) % 194.45/194.26 [5039]E(x50391,f115(x50392))+~E(f324(f324(f134(x50392),x50393),x50391),f115(x50392)) % 194.45/194.26 [5040]E(x50401,f115(x50402))+~E(f324(f324(f134(x50402),x50401),x50403),f115(x50402)) % 194.45/194.26 [5065]~E(x50652,f2(a920))+E(f324(f324(f80(a920),x50651),x50652),f324(f324(f80(a920),x50653),x50652)) % 194.45/194.26 [5067]~E(x50671,f2(a920))+E(f324(f324(f80(a920),x50671),x50672),f324(f324(f80(a920),x50671),x50673)) % 194.45/194.26 [5126]~P63(x51261)+E(f324(f324(f103(x51261),x51262),x51263),f324(f324(f103(x51261),x51263),x51262)) % 194.45/194.26 [5127]~P105(x51271)+E(f324(f324(f103(x51271),x51272),x51273),f324(f324(f103(x51271),x51273),x51272)) % 194.45/194.26 [5128]~P105(x51281)+E(f324(f324(f112(x51281),x51282),x51283),f324(f324(f112(x51281),x51283),x51282)) % 194.45/194.26 [5130]~P107(x51301)+E(f324(f324(f112(x51301),x51302),x51303),f324(f324(f112(x51301),x51303),x51302)) % 194.45/194.26 [5132]~P112(x51321)+E(f324(f324(f188(x51321),x51322),x51323),f324(f324(f188(x51321),x51323),x51322)) % 194.45/194.26 [5133]~P121(x51331)+E(f324(f324(f80(x51331),x51332),x51333),f324(f324(f80(x51331),x51333),x51332)) % 194.45/194.26 [5134]~P121(x51341)+E(f324(f324(f79(x51341),x51342),x51343),f324(f324(f79(x51341),x51343),x51342)) % 194.45/194.26 [5136]~P112(x51361)+E(f324(f324(f233(x51361),x51362),x51363),f324(f324(f233(x51361),x51363),x51362)) % 194.45/194.26 [5197]E(f45(a920,x51971,x51972),f2(a920))+~E(x51971,f324(f324(f80(a920),x51972),x51973)) % 194.45/194.26 [5198]E(f45(a1,x51981,x51982),f2(a1))+~E(x51981,f324(f324(f80(a1),x51982),x51983)) % 194.45/194.26 [5265]E(x52651,x52652)+~E(f324(f324(f79(a920),x52653),x52651),f324(f324(f79(a920),x52653),x52652)) % 194.45/194.26 [5266]E(x52661,x52662)+~E(f324(f324(f79(a920),x52661),x52663),f324(f324(f79(a920),x52662),x52663)) % 194.45/194.26 [5279]~P90(x52791)+E(f324(f324(f103(x52791),x52792),f324(f78(x52791),x52793)),f324(f324(f3(x52791),x52792),x52793)) % 194.45/194.26 [5280]~P65(x52801)+E(f324(f324(f79(x52801),x52802),f324(f78(x52801),x52803)),f324(f324(f3(x52801),x52802),x52803)) % 194.45/194.26 [5281]~P74(x52811)+E(f324(f324(f79(x52811),x52812),f324(f78(x52811),x52813)),f324(f324(f3(x52811),x52812),x52813)) % 194.45/194.26 [5282]~P118(x52821)+E(f324(f324(f79(x52821),x52822),f324(f78(x52821),x52823)),f324(f324(f3(x52821),x52822),x52823)) % 194.45/194.26 [5283]~P74(x52831)+E(f324(f324(f3(x52831),x52832),f324(f78(x52831),x52833)),f324(f324(f79(x52831),x52832),x52833)) % 194.45/194.26 [5321]~P1(f324(x53213,x53212))+P1(f324(f324(f326(x53211),x53212),x53213)) % 194.45/194.26 [5323]~P77(x53232)+E(f324(f324(f8(x53231,x53232),x53233),f189(f928(x53231,a916))),f2(x53232)) % 194.45/194.26 [5325]~P81(x53252)+E(f324(f324(f11(x53251,x53252),x53253),f189(f928(x53251,a916))),f77(x53252)) % 194.45/194.26 [5378]~E(x53782,f324(f324(f79(a920),x53781),x53783))+P1(f324(f324(f234(a920),x53781),x53782)) % 194.45/194.26 [5381]~E(x53812,f189(f928(x53811,a916)))+E(f324(f324(f60(x53811),x53812),x53813),f189(f928(f928(x53811,a916),a916))) % 194.45/194.26 [5382]~E(x53822,f189(f928(x53821,a916)))+E(f189(f928(f928(x53821,a916),a916)),f324(f324(f60(x53821),x53822),x53823)) % 194.45/194.26 [5455]~E(f324(f282(x54552,x54553),x54551),f189(f928(x54553,a916)))+E(x54551,f189(f928(f927(x54552,x54553),a916))) % 194.45/194.26 [5456]~E(f324(f264(x54562,x54563),x54561),f189(f928(x54562,a916)))+E(x54561,f189(f928(f927(x54562,x54563),a916))) % 194.45/194.26 [5488]E(f324(f282(x54881,x54882),x54883),f189(f928(x54882,a916)))+~E(x54883,f189(f928(f927(x54881,x54882),a916))) % 194.45/194.26 [5489]E(f324(f264(x54891,x54892),x54893),f189(f928(x54891,a916)))+~E(x54893,f189(f928(f927(x54891,x54892),a916))) % 194.45/194.26 [5492]E(f272(x54921,x54922,x54923),f324(f324(f3(a101),x54922),x54923))+P1(f324(f324(f235(a101),x54922),x54923)) % 194.45/194.26 [5507]P1(f324(x55071,x55072))+~P1(f324(f324(f326(x55073),x55072),x55071)) % 194.45/194.26 [5545]E(x55451,x55452)+~E(f324(f78(f928(x55453,a916)),x55451),f324(f78(f928(x55453,a916)),x55452)) % 194.45/194.26 [5554]~E(x55541,f189(f928(x55542,a916)))+~P1(f324(f324(f326(x55542),x55543),x55541)) % 194.45/194.26 [5584]~E(x55842,f324(f324(f79(a1),x55841),f324(f102(a1),x55843)))+P1(f324(f324(f234(a1),x55841),x55842)) % 194.45/194.26 [5598]E(f324(f324(f306(x55981),x55982),x55983),x55983)+~P1(f324(f324(f326(x55981),x55982),x55983)) % 194.45/194.26 [5609]E(x56091,f189(f928(x56092,a916)))+~E(f324(f324(f60(x56092),x56091),x56093),f189(f928(f928(x56092,a916),a916))) % 194.45/194.26 [5610]E(x56101,f189(f928(x56102,a916)))+~E(f189(f928(f928(x56102,a916),a916)),f324(f324(f60(x56102),x56101),x56103)) % 194.45/194.26 [5616]~P124(x56161)+E(f324(f324(f80(x56161),f324(f78(x56161),x56162)),f324(f78(x56161),x56163)),f324(f324(f80(x56161),x56162),x56163)) % 194.45/194.26 [5618]~P70(x56181)+E(f324(f324(f287(x56181),f324(f78(x56181),x56182)),f324(f78(x56181),x56183)),f324(f324(f287(x56181),x56182),x56183)) % 194.45/194.26 [5650]~P1(f324(x56503,x56502))+P1(f324(f324(f326(x56501),x56502),f324(f262(x56501),x56503))) % 194.45/194.26 [5675]E(x56751,f2(a920))+E(f324(f172(x56752),f169(x56752,x56751,x56753)),f324(f324(f306(x56752),x56753),f189(f928(x56752,a916)))) % 194.45/194.26 [5695]E(f170(x56951,x56952,x56953),x56953)+P1(f324(f324(f326(x56951),x56952),f324(f172(x56951),x56953))) % 194.45/194.26 [5780]~P1(f324(f137(x57801),x57803))+P1(f324(f137(x57801),f324(f136(x57801,x57802),x57803))) % 194.45/194.26 [5824]~P67(x58241)+E(f324(f324(f36(x58241),f45(x58241,x58242,x58243)),x58243),f2(x58241)) % 194.45/194.26 [5843]E(f176(x58431,f324(f324(f151(x58431),x58432),f115(x58431)),x58433),f115(x58431))+P1(f324(f324(f326(a920),f2(a920)),x58433)) % 194.45/194.26 [5849]E(x58491,f2(a920))+E(f324(f171(x58492),f169(x58492,x58491,x58493)),f169(x58492,f324(f324(f3(a920),x58491),f77(a920)),x58493)) % 194.45/194.26 [5899]E(f324(f324(f151(x58991),x58992),x58993),f140(x58991,x58992,x58993))+P1(f324(f324(f326(x58991),x58992),f324(f172(x58991),x58993))) % 194.45/194.26 [5908]E(x59081,x59082)+~E(f324(f324(f80(a920),f324(a114,x59083)),x59081),f324(f324(f80(a920),f324(a114,x59083)),x59082)) % 194.45/194.26 [5909]~E(x59092,f324(f324(f79(a1),x59091),f324(f102(a1),f324(a114,x59093))))+P1(f324(f324(f235(a1),x59091),x59092)) % 194.45/194.26 [6023]~E(x60233,f115(x60231))+E(f324(f324(f324(f183(f921(x60231),f921(x60231)),x60232),f167(x60231)),x60233),f115(x60231)) % 194.45/194.26 [6027]P1(f324(x60271,x60272))+~P1(f324(f324(f326(x60273),x60272),f324(f262(x60273),x60271))) % 194.45/194.26 [6057]E(x60571,x60572)+~E(f324(f324(f306(x60573),x60571),f189(f928(x60573,a916))),f324(f324(f306(x60573),x60572),f189(f928(x60573,a916)))) % 194.45/194.26 [6071]~P113(x60711)+E(f324(f324(f103(f928(x60711,a916)),f324(f280(x60711),x60712)),f324(f299(x60711,x60712),x60713)),f189(f928(x60711,a916))) % 194.45/194.26 [6110]E(f140(x61101,x61102,x61103),x61103)+~P1(f324(f324(f326(x61101),x61102),f324(f172(x61101),x61103))) % 194.45/194.26 [6135]~P86(x61351)+E(f324(f307(x61351,x61351,f78(x61351)),f324(f299(x61351,x61352),x61353)),f302(x61351,f324(f78(x61351),x61353),f324(f78(x61351),x61352))) % 194.45/194.26 [6146]E(f324(f190(f921(x61461)),f170(x61461,x61462,x61463)),f324(f190(f921(x61461)),x61463))+P1(f324(f324(f326(x61461),x61462),f324(f172(x61461),x61463))) % 194.45/194.26 [6200]~P113(x62001)+E(f324(f324(f103(f928(x62001,a916)),f324(f299(x62001,x62002),x62003)),f324(f281(x62001),x62003)),f189(f928(x62001,a916))) % 194.45/194.26 [6220]~P86(x62201)+E(f324(f307(x62201,x62201,f78(x62201)),f300(x62201,x62202,x62203)),f300(x62201,f324(f78(x62201),x62203),f324(f78(x62201),x62202))) % 194.45/194.26 [6221]~P86(x62211)+E(f324(f307(x62211,x62211,f78(x62211)),f303(x62211,x62212,x62213)),f303(x62211,f324(f78(x62211),x62213),f324(f78(x62211),x62212))) % 194.45/194.26 [6286]E(f176(x62861,f324(f324(f151(x62861),x62862),f115(x62861)),x62863),f324(f324(f151(x62861),x62862),f115(x62861)))+~P1(f324(f324(f326(a920),f2(a920)),x62863)) % 194.45/194.26 [6293]~P86(x62931)+E(f324(f307(x62931,x62931,f78(x62931)),f302(x62931,x62932,x62933)),f324(f299(x62931,f324(f78(x62931),x62933)),f324(f78(x62931),x62932))) % 194.45/194.26 [6313]~P68(x63131)+E(f45(x63131,f324(f78(x63131),f45(x63131,x63132,x63133)),x63133),f45(x63131,f324(f78(x63131),x63132),x63133)) % 194.45/194.26 [6410]~P1(f324(f61(f927(x64102,x64101)),x64103))+P1(f324(f61(x64101),f324(f282(x64102,x64101),x64103))) % 194.45/194.26 [6411]~P1(f324(f61(f927(x64111,x64112)),x64113))+P1(f324(f61(x64111),f324(f264(x64111,x64112),x64113))) % 194.45/194.26 [6416]~P113(x64161)+E(f324(f324(f103(f928(x64161,a916)),f300(x64161,x64162,x64163)),f324(f301(x64161),x64163)),f189(f928(x64161,a916))) % 194.45/194.26 [6417]~P113(x64171)+E(f324(f324(f103(f928(x64171,a916)),f303(x64171,x64172,x64173)),f324(f281(x64171),x64173)),f189(f928(x64171,a916))) % 194.45/194.26 [6418]~P113(x64181)+E(f324(f324(f103(f928(x64181,a916)),f302(x64181,x64182,x64183)),f324(f301(x64181),x64183)),f189(f928(x64181,a916))) % 194.45/194.26 [6488]E(f324(f324(f164(x64881),x64882),f650(x64882,x64883,x64881)),x64883)+~P1(f324(f324(f326(x64881),x64883),f324(f172(x64881),x64882))) % 194.45/194.26 [6631]E(x66311,f115(x66312))+~E(f324(f324(f324(f183(f921(x66312),f921(x66312)),x66313),f167(x66312)),x66311),f115(x66312)) % 194.45/194.26 [6737]~P1(f324(f61(f927(x67372,x67371)),x67373))+P1(f324(f61(f927(x67371,x67372)),f324(f284(x67372,x67371),x67373))) % 194.45/194.26 [6886]P56(x68861,x68862,x68863)+P1(f324(f324(f326(x68861),f648(x68863,x68862,x68861)),x68862)) % 194.45/194.26 [6887]P56(x68871,x68872,x68873)+P1(f324(f324(f326(x68871),f647(x68873,x68872,x68871)),x68872)) % 194.45/194.26 [6898]P1(f324(f312(x68981,x68982),x68983))+P1(f324(f324(x68982,f422(x68983,x68982,x68981)),x68983)) % 194.45/194.26 [6899]P1(f324(f312(x68991,x68992),x68993))+P1(f324(f324(x68992,f437(x68993,x68992,x68991)),x68993)) % 194.45/194.26 [6930]E(f324(f190(f921(x69301)),f170(x69301,x69302,x69303)),f324(f324(f3(a920),f324(f190(f921(x69301)),x69303)),f77(a920)))+~P1(f324(f324(f326(x69301),x69302),f324(f172(x69301),x69303))) % 194.45/194.26 [6969]P1(f324(f248(x69691,x69692),x69693))+P1(f324(f324(f326(x69691),f411(x69693,x69692,x69691)),x69693)) % 194.45/194.26 [6980]~P1(f324(f61(f927(x69802,x69801)),f324(f284(x69801,x69802),x69803)))+P1(f324(f61(f927(x69801,x69802)),x69803)) % 194.45/194.26 [7036]~P1(f324(f324(f326(x70361),x70362),f324(f172(x70361),f116(x70361,x70363))))+P1(f324(f324(f326(x70361),x70362),f324(f172(x70361),x70363))) % 194.45/194.26 [7041]P26(x70411,x70412,x70413)+P1(f324(f324(f326(f919(x70411)),f770(x70413,x70412,x70411)),x70413)) % 194.45/194.26 [7070]E(f324(f136(x70701,x70702),x70703),x70703)+P1(f324(f324(f326(x70701),f703(x70703,x70702,x70701)),f324(f172(x70701),x70703))) % 194.45/194.26 [7084]E(f324(f136(x70841,x70842),x70843),f115(x70841))+P1(f324(f324(f326(x70841),f702(x70843,x70842,x70841)),f324(f172(x70841),x70843))) % 194.45/194.26 [7108]P29(x71081,x71082,x71083)+P1(f324(f324(f326(x71081),f789(x71083,x71082,x71081)),f324(f172(x71081),x71083))) % 194.45/194.26 [7109]P29(x71091,x71092,x71093)+P1(f324(f324(f326(x71091),f796(x71093,x71092,x71091)),f324(f172(x71091),x71093))) % 194.45/194.26 [7110]P29(x71101,x71102,x71103)+P1(f324(f324(f326(x71101),f795(x71102,x71103,x71101)),f324(f172(x71101),x71103))) % 194.45/194.26 [7113]E(f177(x71131,x71132,x71133),x71133)+P1(f324(f324(f326(x71131),f747(x71133,x71132,x71131)),f324(f172(x71131),x71133))) % 194.45/194.26 [7189]P1(f324(f160(x71891,x71892),x71893))+P1(f324(f324(f326(x71891),f704(x71893,x71892,x71891)),f324(f172(x71891),x71893))) % 194.45/194.26 [7198]~P31(x71981,x71983,x71982)+P1(f324(f324(f326(x71981),f781(x71982,x71983,x71981)),f324(f172(x71981),x71982))) % 194.45/194.26 [7199]~P33(x71991,x71993,x71992)+P1(f324(f324(f326(x71991),f788(x71992,x71993,x71991)),f324(f172(x71991),x71992))) % 194.45/194.26 [7200]~P33(x72001,x72003,x72002)+P1(f324(f324(f326(x72001),f797(x72002,x72003,x72001)),f324(f172(x72001),x72002))) % 194.45/194.26 [7201]~P31(x72011,x72013,x72012)+P1(f324(f324(f326(x72011),f825(x72012,x72013,x72011)),f324(f172(x72011),x72012))) % 194.45/194.26 [7202]~P31(x72021,x72022,x72023)+P1(f324(f324(f326(x72021),f826(x72022,x72023,x72021)),f324(f172(x72021),x72023))) % 194.45/194.26 [7237]P1(f324(f324(f326(x72371),x72372),f535(x72373,x72372,x72371)))+~P1(f324(f324(f326(x72371),x72372),f37(f928(x72371,a916),x72373))) % 194.45/194.26 [7238]~P77(x72381)+E(f324(f324(f79(x72381),f324(f324(f8(a920,x72381),x72382),f324(f280(a920),x72383))),f324(x72382,x72383)),f324(f324(f8(a920,x72381),x72382),f324(f280(a920),f324(a114,x72383)))) % 194.45/194.26 [7327]~P31(x73272,x73271,x73273)+P1(f324(x73271,f324(f324(f164(x73272),x73273),f784(x73273,x73271,x73272)))) % 194.45/194.26 [7341]~P1(f324(f324(f326(x73411),x73412),f536(x73412,x73413,x73411)))+P1(f324(f324(f326(x73411),x73412),f38(f928(x73411,a916),x73413))) % 194.45/194.26 [7374]~P77(x73741)+E(f324(f324(f79(x73741),f324(f324(f8(a920,x73741),x73742),f324(f298(a920),x73743))),f324(x73742,f324(a114,x73743))),f324(f324(f8(a920,x73741),x73742),f324(f298(a920),f324(a114,x73743)))) % 194.45/194.26 [7518]P1(f324(f324(f326(f921(x75181)),x75182),f161(x75181,x75183)))+P1(f324(f324(f326(x75181),f689(x75183,x75182,x75181)),f324(f172(x75181),x75182))) % 194.45/194.26 [7533]~P1(f324(f324(f326(f921(x75331)),x75332),f161(x75331,f313(x75331,x75333))))+P1(f324(f324(f326(f921(x75331)),x75332),f313(f921(x75331),f157(x75331,x75333)))) % 194.45/194.26 [7561]~P1(f324(f324(f326(f921(x75611)),x75612),f313(f921(x75611),f157(x75611,x75613))))+P1(f324(f324(f326(f921(x75611)),x75612),f161(x75611,f313(x75611,x75613)))) % 194.45/194.26 [7597]E(f324(f324(f324(f183(f921(x75971),f921(x75971)),x75972),f167(x75971)),x75973),x75973)+~P1(f324(f324(f234(a920),f324(f190(f921(x75971)),x75973)),f77(a920))) % 194.45/194.26 [7630]E(f324(f324(f134(x76301),f785(x76302,x76303,x76301)),f324(f324(f151(x76301),x76303),f786(x76302,x76303,x76301))),x76302)+~P1(f324(f324(f326(x76301),x76303),f324(f172(x76301),x76302))) % 194.45/194.26 [7631]E(f324(f324(f134(x76311),f791(x76312,x76313,x76311)),f324(f324(f151(x76311),x76313),f792(x76312,x76313,x76311))),x76312)+~P1(f324(f324(f326(x76311),x76313),f324(f172(x76311),x76312))) % 194.45/194.26 [7632]E(f324(f324(f134(x76321),f793(x76322,x76323,x76321)),f324(f324(f151(x76321),x76323),f794(x76322,x76323,x76321))),x76322)+~P1(f324(f324(f326(x76321),x76323),f324(f172(x76321),x76322))) % 194.45/194.26 [7654]~P22(x76541,x76542,x76543,f242(f928(x76541,a916)))+P22(f921(x76541),f921(x76542),f324(f154(x76541,x76542),x76543),f242(f928(f921(x76541),a916))) % 194.45/194.26 [7800]E(x78001,f324(f324(f79(a920),f324(f324(f80(a920),f324(f251(a920,a920),x78002)),x78003)),f324(f256(a920,a920),x78002)))+~P1(f324(f48(x78001,x78003),x78002)) % 194.45/194.26 [7808]P22(x78081,x78082,x78083,f242(f928(x78081,a916)))+~P22(f921(x78081),f921(x78082),f324(f154(x78081,x78082),x78083),f242(f928(f921(x78081),a916))) % 194.45/194.26 [7852]P1(f324(f324(f326(f928(x78521,a916)),f536(x78522,x78523,x78521)),x78523))+P1(f324(f324(f326(x78521),x78522),f38(f928(x78521,a916),x78523))) % 194.45/194.26 [7941]P1(f324(f324(f326(f921(x79411)),x79412),f161(x79411,x79413)))+~P1(f324(f324(f326(x79411),f689(x79413,x79412,x79411)),x79413)) % 194.45/194.26 [8049]P29(x80491,x80492,x80493)+~P1(f324(x80492,f324(f324(f164(x80491),x80493),f790(x80493,x80492,x80491)))) % 194.45/194.26 [8073]E(x80731,x80732)+~E(f324(f324(f9(x80733,f928(x80733,a916),a916),f326(x80733)),x80731),f324(f324(f9(x80733,f928(x80733,a916),a916),f326(x80733)),x80732)) % 194.45/194.26 [8081]~P1(f324(f324(f326(f927(x80811,x80811)),x80813),f263(x80811,x80812)))+P1(f324(f324(f326(x80811),f503(x80812,x80813,x80811)),x80812)) % 194.45/194.26 [8083]~P1(f324(f324(f326(x80831),x80833),f37(f928(x80831,a916),x80832)))+P1(f324(f324(f326(f928(x80831,a916)),f535(x80832,x80833,x80831)),x80832)) % 194.45/194.26 [8144]P1(f324(f324(f234(f928(x81441,a916)),x81442),f38(f928(x81441,a916),x81443)))+P1(f324(f324(f326(f928(x81441,a916)),f558(x81442,x81443,x81441)),x81443)) % 194.45/194.26 [8208]P22(x82081,x82082,f91(x82082,x82081,f242(f928(x82082,a916)),x82083),f242(f928(x82081,a916)))+~E(f324(f307(x82082,x82081,x82083),f242(f928(x82082,a916))),f242(f928(x82081,a916))) % 194.45/194.26 [8235]~P1(f324(f324(f234(f928(x82351,a916)),x82352),f558(x82352,x82353,x82351)))+P1(f324(f324(f234(f928(x82351,a916)),x82352),f38(f928(x82351,a916),x82353))) % 194.45/194.26 [8265]~P1(f324(f324(f326(x82651),x82652),f324(f172(x82651),f791(x82653,x82652,x82651))))+~P1(f324(f324(f326(x82651),x82652),f324(f172(x82651),x82653))) % 194.45/194.26 [8266]~P1(f324(f324(f326(x82661),x82662),f324(f172(x82661),f794(x82663,x82662,x82661))))+~P1(f324(f324(f326(x82661),x82662),f324(f172(x82661),x82663))) % 194.45/194.26 [8450]E(x84501,f115(x84502))+P1(f324(f324(f326(x84502),f324(f251(x84502,f927(a101,a101)),f324(f273(x84502,x84501),x84503))),f324(f172(x84502),x84501))) % 194.45/194.26 [8550]~P76(x85501)+E(f324(f142(x85501,x85501,f324(f9(x85501,x85501,x85501),f79(x85501)),x85502),f324(f168(x85501),x85503)),f324(f142(x85501,x85501,f79(x85501),x85502),x85503)) % 194.45/194.26 [8745]~P22(x87452,x87451,x87453,f242(f928(x87452,a916)))+E(f324(f307(x87451,x87452,f91(x87452,x87451,f242(f928(x87452,a916)),x87453)),f242(f928(x87451,a916))),f242(f928(x87452,a916))) % 194.45/194.26 [9064]~P112(x90641)+E(f324(f172(x90641),f149(x90641,x90641,f7(x90641),x90642,x90643)),f324(f324(f306(x90641),x90642),f324(f172(x90641),x90643))) % 194.45/194.26 [9073]~E(f324(x90733,f324(f91(x90731,x90732,f242(f928(x90731,a916)),x90733),f839(x90733,x90732,x90731))),f839(x90733,x90732,x90731))+E(f324(f307(x90731,x90732,x90733),f242(f928(x90731,a916))),f242(f928(x90732,a916))) % 194.45/194.26 [9075]P1(f324(f324(f235(a920),f2(a920)),f655(x90751,x90752,x90753)))+~P1(f324(f324(f326(f927(x90753,x90753)),x90752),f324(f324(f286(x90753,x90753,x90753),x90751),f304(x90753,x90751)))) % 194.45/194.26 [9367]~P58(x93671,x93672)+~P1(f324(f324(f326(f927(x93671,x93671)),f324(f324(f252(x93671,x93671),x93673),x93673)),f324(f324(f286(x93671,x93671,x93671),x93672),f304(x93671,x93672)))) % 194.45/194.26 [9502]~E(f324(f324(f103(f928(f927(x95021,x95021),a916)),f324(f284(x95021,x95021),x95022)),f304(x95021,x95022)),f189(f928(f927(x95021,x95021),a916)))+~P1(f324(f324(f326(f927(x95021,x95021)),f324(f324(f252(x95021,x95021),x95023),x95023)),f324(f324(f286(x95021,x95021,x95021),x95022),f304(x95021,x95022)))) % 194.45/194.26 [9686]~P1(f324(f61(x96861),x96862))+P1(f324(f324(f234(a920),f324(f35(x96861),f324(f324(f3(f928(x96861,a916)),x96862),f324(f324(f306(x96861),x96863),f189(f928(x96861,a916)))))),f324(f35(x96861),x96862))) % 194.45/194.26 [5186]~E(x51863,f115(x51861))+E(f144(x51861,f324(f324(f151(x51861),x51862),x51863)),x51862) % 194.45/194.26 [5194]~E(x51943,f115(x51941))+E(f116(x51941,f324(f324(f151(x51941),x51942),x51943)),f115(x51941)) % 194.45/194.26 [5226]E(x52261,f115(x52262))+E(f144(x52262,f324(f324(f151(x52262),x52263),x52261)),f144(x52262,x52261)) % 194.45/194.26 [5228]E(x52281,f115(x52282))+E(f144(x52282,f324(f324(f134(x52282),x52283),x52281)),f144(x52282,x52281)) % 194.45/194.26 [5235]~E(x52353,f115(x52351))+E(f116(x52351,f324(f324(f134(x52351),x52352),x52353)),f116(x52351,x52352)) % 194.45/194.26 [5237]~E(x52373,f115(x52371))+E(f144(x52371,f324(f324(f134(x52371),x52372),x52373)),f144(x52371,x52372)) % 194.45/194.26 [5273]E(x52731,f115(x52732))+E(f324(f141(x52732),f324(f324(f134(x52732),x52731),x52733)),f324(f141(x52732),x52731)) % 194.45/194.26 [5301]~E(x53012,f115(x53011))+E(f324(f141(x53011),f324(f324(f134(x53011),x53012),x53013)),f324(f141(x53011),x53013)) % 194.45/194.26 [5354]~P105(x53541)+E(f324(f324(f103(x53541),x53542),f324(f324(f112(x53541),x53542),x53543)),x53542) % 194.45/194.26 [5355]~P105(x53551)+E(f324(f324(f112(x53551),x53552),f324(f324(f103(x53551),x53552),x53553)),x53552) % 194.45/194.26 [5356]~P112(x53561)+E(f324(f324(f188(x53561),x53562),f324(f324(f233(x53561),x53562),x53563)),x53562) % 194.45/194.26 [5357]~P112(x53571)+E(f324(f324(f233(x53571),x53572),f324(f324(f188(x53571),x53572),x53573)),x53572) % 194.45/194.26 [5376]~P67(x53761)+E(f45(x53761,f324(f324(f80(x53761),x53762),x53763),x53763),f2(x53761)) % 194.45/194.26 [5377]~P67(x53771)+E(f45(x53771,f324(f324(f80(x53771),x53772),x53773),x53772),f2(x53771)) % 194.45/194.26 [5450]~P65(x54501)+E(f324(f78(x54501),f324(f324(f3(x54501),x54502),x54503)),f324(f324(f3(x54501),x54503),x54502)) % 194.45/194.26 [5511]E(x55111,f115(x55112))+E(f116(x55112,f324(f324(f151(x55112),x55113),x55111)),f324(f324(f151(x55112),x55113),f116(x55112,x55111))) % 194.45/194.26 [5512]E(x55121,f115(x55122))+E(f116(x55122,f324(f324(f134(x55122),x55123),x55121)),f324(f324(f134(x55122),x55123),f116(x55122,x55121))) % 194.45/194.26 [5515]~P2(x55151)+E(f37(x55151,f324(f324(f306(x55151),x55152),x55153)),f324(f324(f112(x55151),x55152),f37(x55151,x55153))) % 194.45/194.26 [5516]~P2(x55161)+E(f38(x55161,f324(f324(f306(x55161),x55162),x55163)),f324(f324(f103(x55161),x55162),f38(x55161,x55163))) % 194.45/194.26 [5560]~P63(x55601)+E(f324(f324(f103(x55601),x55602),f324(f324(f103(x55601),x55602),x55603)),f324(f324(f103(x55601),x55602),x55603)) % 194.45/194.26 [5561]~P105(x55611)+E(f324(f324(f103(x55611),x55612),f324(f324(f103(x55611),x55612),x55613)),f324(f324(f103(x55611),x55612),x55613)) % 194.45/194.26 [5562]~P105(x55621)+E(f324(f324(f112(x55621),x55622),f324(f324(f112(x55621),x55622),x55623)),f324(f324(f112(x55621),x55622),x55623)) % 194.45/194.26 [5564]~P107(x55641)+E(f324(f324(f112(x55641),x55642),f324(f324(f112(x55641),x55642),x55643)),f324(f324(f112(x55641),x55642),x55643)) % 194.45/194.26 [5566]~P112(x55661)+E(f324(f324(f188(x55661),x55662),f324(f324(f188(x55661),x55662),x55663)),f324(f324(f188(x55661),x55662),x55663)) % 194.45/194.26 [5567]~P103(x55671)+E(f324(f324(f80(x55671),x55672),f324(f324(f80(x55671),x55672),x55673)),f324(f324(f80(x55671),x55672),x55673)) % 194.45/194.26 [5569]~P112(x55691)+E(f324(f324(f233(x55691),x55692),f324(f324(f233(x55691),x55692),x55693)),f324(f324(f233(x55691),x55692),x55693)) % 194.45/194.26 [5576]~P67(x55761)+E(f45(x55761,f324(f324(f79(x55761),x55762),x55763),x55763),f45(x55761,x55762,x55763)) % 194.45/194.26 [5577]~P67(x55771)+E(f45(x55771,f324(f324(f79(x55771),x55772),x55773),x55772),f45(x55771,x55773,x55772)) % 194.45/194.26 [5585]~P124(x55851)+E(f324(f324(f80(x55851),x55852),f324(f78(x55851),x55853)),f324(f78(x55851),f324(f324(f80(x55851),x55852),x55853))) % 194.45/194.26 [5586]~P70(x55861)+E(f324(f324(f287(x55861),x55862),f324(f78(x55861),x55863)),f324(f78(x55861),f324(f324(f287(x55861),x55862),x55863))) % 194.45/194.26 [5587]~P89(x55871)+E(f324(f324(f79(x55871),x55872),f324(f165(x55871),x55873)),f324(f165(x55871),f324(f324(f151(x55871),x55872),x55873))) % 194.45/194.26 [5615]~P124(x56151)+E(f324(f324(f80(x56151),f324(f78(x56151),x56152)),x56153),f324(f324(f80(x56151),x56152),f324(f78(x56151),x56153))) % 194.45/194.26 [5621]~P5(x56211,x56212,x56213)+E(f37(f928(x56211,a916),f324(f324(f60(x56211),x56212),x56213)),x56212) % 194.45/194.26 [5687]~P119(x56871)+E(f324(f324(f80(x56871),x56872),f324(f324(f244(x56871),x56872),x56873)),f324(f324(f244(x56871),x56872),f324(a114,x56873))) % 194.45/194.26 [5688]~P121(x56881)+E(f324(f324(f80(x56881),x56882),f324(f324(f244(x56881),x56882),x56883)),f324(f324(f244(x56881),x56882),f324(a114,x56883))) % 194.45/194.26 [5698]~P74(x56981)+E(f324(f324(f79(x56981),f324(f78(x56981),x56982)),f324(f324(f79(x56981),x56982),x56983)),x56983) % 194.45/194.26 [5721]~P114(x57211)+E(f324(f324(f244(x57211),f324(f102(x57211),x57212)),x57213),f324(f102(x57211),f324(f324(f244(a920),x57212),x57213))) % 194.45/194.26 [5722]~P144(x57221)+E(f324(f324(f244(x57221),f324(f104(x57221),x57222)),x57223),f324(f104(x57221),f324(f324(f244(a1),x57222),x57223))) % 194.45/194.26 [5728]~P95(x57281)+E(f324(f75(x57281),f324(f324(f3(x57281),x57282),x57283)),f324(f75(x57281),f324(f324(f3(x57281),x57283),x57282))) % 194.45/194.26 [5731]~P125(x57311)+E(f324(f324(f80(x57311),f81(x57311,x57312)),f81(x57311,x57313)),f81(x57311,f324(f324(f80(x57311),x57312),x57313))) % 194.45/194.26 [5735]E(x57351,f115(x57352))+E(f324(f324(f134(x57352),f324(f171(x57352),x57351)),x57353),f324(f171(x57352),f324(f324(f134(x57352),x57351),x57353))) % 194.45/194.26 [5740]~E(x57402,f324(a114,f324(f324(f79(a920),x57401),x57403)))+P1(f324(f324(f235(a920),x57401),x57402)) % 194.45/194.26 [5741]~P124(x57411)+E(f324(f324(f80(x57411),f324(f78(x57411),x57412)),x57413),f324(f78(x57411),f324(f324(f80(x57411),x57412),x57413))) % 194.45/194.26 [5742]~P122(x57421)+E(f324(f324(f287(x57421),f324(f78(x57421),x57422)),x57423),f324(f78(x57421),f324(f324(f287(x57421),x57422),x57423))) % 194.45/194.26 [5743]~P125(x57431)+E(f324(f324(f244(x57431),f324(f75(x57431),x57432)),x57433),f324(f75(x57431),f324(f324(f244(x57431),x57432),x57433))) % 194.45/194.26 [5842]E(f630(x58421,x58422,x58423),f649(x58421,x58422,x58423))+E(f324(f324(f103(f928(x58423,a916)),x58422),x58421),f189(f928(x58423,a916))) % 194.45/194.26 [5857]~P77(x58572)+E(f324(f324(f8(x58571,x58572),f324(f18(x58572,x58571),f2(x58572))),x58573),f2(x58572)) % 194.45/194.26 [5858]~P81(x58582)+E(f324(f324(f11(x58581,x58582),f324(f18(x58582,x58581),f77(x58582))),x58583),f77(x58582)) % 194.45/194.26 [5860]~P102(x58601)+E(f324(f324(f3(x58601),f324(f105(x58601),x58602)),f324(f105(x58601),x58603)),f324(f105(x58601),f324(f324(f3(a1),x58602),x58603))) % 194.45/194.26 [5863]~P114(x58631)+E(f324(f324(f80(x58631),f324(f102(x58631),x58632)),f324(f102(x58631),x58633)),f324(f102(x58631),f324(f324(f80(a920),x58632),x58633))) % 194.45/194.26 [5864]~P114(x58641)+E(f324(f324(f79(x58641),f324(f102(x58641),x58642)),f324(f102(x58641),x58643)),f324(f102(x58641),f324(f324(f79(a920),x58642),x58643))) % 194.45/194.26 [5865]~P144(x58651)+E(f324(f324(f3(x58651),f324(f104(x58651),x58652)),f324(f104(x58651),x58653)),f324(f104(x58651),f324(f324(f3(a1),x58652),x58653))) % 194.45/194.26 [5866]~P144(x58661)+E(f324(f324(f80(x58661),f324(f104(x58661),x58662)),f324(f104(x58661),x58663)),f324(f104(x58661),f324(f324(f80(a1),x58662),x58663))) % 194.45/194.26 [5867]~P144(x58671)+E(f324(f324(f79(x58671),f324(f104(x58671),x58672)),f324(f104(x58671),x58673)),f324(f104(x58671),f324(f324(f79(a1),x58672),x58673))) % 194.45/194.26 [5868]~P102(x58681)+E(f324(f324(f80(x58681),f324(f105(x58681),x58682)),f324(f105(x58681),x58683)),f324(f105(x58681),f324(f324(f80(a1),x58682),x58683))) % 194.45/194.26 [5869]~P102(x58691)+E(f324(f324(f79(x58691),f324(f105(x58691),x58692)),f324(f105(x58691),x58693)),f324(f105(x58691),f324(f324(f79(a1),x58692),x58693))) % 194.45/194.26 [5916]~E(x59163,x59162)+P1(f324(f324(f234(f928(x59161,a916)),x59162),x59163)) % 194.45/194.26 [5922]~E(x59222,x59223)+P1(f324(f324(f234(f928(x59221,a916)),x59222),x59223)) % 194.45/194.26 [5927]~P90(x59271)+E(f324(f324(f112(x59271),f324(f78(x59271),x59272)),f324(f78(x59271),x59273)),f324(f78(x59271),f324(f324(f103(x59271),x59272),x59273))) % 194.45/194.26 [5928]~P90(x59281)+E(f324(f324(f103(x59281),f324(f78(x59281),x59282)),f324(f78(x59281),x59283)),f324(f78(x59281),f324(f324(f112(x59281),x59282),x59283))) % 194.45/194.26 [5929]~P82(x59291)+E(f324(f324(f233(x59291),f324(f78(x59291),x59292)),f324(f78(x59291),x59293)),f324(f78(x59291),f324(f324(f188(x59291),x59292),x59293))) % 194.45/194.26 [5930]~P74(x59301)+E(f324(f324(f79(x59301),f324(f78(x59301),x59302)),f324(f78(x59301),x59303)),f324(f78(x59301),f324(f324(f79(x59301),x59303),x59302))) % 194.45/194.26 [5931]~P65(x59311)+E(f324(f324(f79(x59311),f324(f78(x59311),x59312)),f324(f78(x59311),x59313)),f324(f78(x59311),f324(f324(f79(x59311),x59312),x59313))) % 194.45/194.26 [5932]~P82(x59321)+E(f324(f324(f188(x59321),f324(f78(x59321),x59322)),f324(f78(x59321),x59323)),f324(f78(x59321),f324(f324(f233(x59321),x59322),x59323))) % 194.45/194.26 [5933]~P125(x59331)+E(f324(f324(f80(x59331),f324(f75(x59331),x59332)),f324(f75(x59331),x59333)),f324(f75(x59331),f324(f324(f80(x59331),x59332),x59333))) % 194.45/194.26 [5934]~P72(x59341)+E(f324(f324(f287(x59341),f324(f75(x59341),x59342)),f324(f75(x59341),x59343)),f324(f75(x59341),f324(f324(f287(x59341),x59342),x59343))) % 194.45/194.26 [5935]~P89(x59351)+E(f324(f324(f79(x59351),f324(f165(x59351),x59352)),f324(f165(x59351),x59353)),f324(f165(x59351),f324(f324(f134(x59351),x59352),x59353))) % 194.45/194.26 [5936]E(x59361,f189(f928(x59362,a916)))+~E(f324(f324(f112(f928(x59362,a916)),x59363),x59361),f189(f928(x59362,a916))) % 194.45/194.26 [5937]E(x59371,f189(f928(x59372,a916)))+~E(f324(f324(f112(f928(x59372,a916)),x59371),x59373),f189(f928(x59372,a916))) % 194.45/194.26 [5938]~P150(x59381,x59383,x59382)+P1(f324(x59381,f324(f324(f36(a1),x59382),x59383))) % 194.45/194.26 [5997]~P1(f324(f61(x59971),x59973))+P1(f324(f61(x59971),f324(f324(f306(x59971),x59972),x59973))) % 194.45/194.26 [5998]~P1(f324(f137(x59981),x59983))+P1(f324(f137(x59981),f324(f324(f175(x59981),x59982),x59983))) % 194.45/194.26 [5999]~P1(f324(f137(x59991),x59993))+P1(f324(f137(x59991),f324(f324(f138(x59991),x59992),x59993))) % 194.45/194.26 [6028]~P105(x60281)+P1(f324(f324(f234(x60281),x60282),f324(f324(f112(x60281),x60283),x60282))) % 194.45/194.26 [6029]~P107(x60291)+P1(f324(f324(f234(x60291),x60292),f324(f324(f112(x60291),x60293),x60292))) % 194.45/194.26 [6030]~P105(x60301)+P1(f324(f324(f234(x60301),x60302),f324(f324(f112(x60301),x60302),x60303))) % 194.45/194.26 [6031]~P107(x60311)+P1(f324(f324(f234(x60311),x60312),f324(f324(f112(x60311),x60312),x60313))) % 194.45/194.26 [6032]~P112(x60321)+P1(f324(f324(f234(x60321),x60322),f324(f324(f233(x60321),x60323),x60322))) % 194.45/194.26 [6033]~P112(x60331)+P1(f324(f324(f234(x60331),x60332),f324(f324(f233(x60331),x60332),x60333))) % 194.45/194.26 [6047]~E(x60471,f2(a920))+E(f324(f324(f36(a920),f324(f324(f80(a920),x60471),x60472)),f324(f324(f80(a920),x60471),x60473)),f2(a920)) % 194.45/194.26 [6127]~P102(x61271)+E(f324(f324(f3(x61271),f324(f105(x61271),x61272)),f324(f105(x61271),x61273)),f324(f105(x61271),f324(f324(f79(a1),x61272),f324(f78(a1),x61273)))) % 194.45/194.26 [6187]E(x61871,f2(a920))+E(f324(f324(f36(a920),f324(f324(f80(a920),x61871),x61872)),f324(f324(f80(a920),x61871),x61873)),f324(f324(f36(a920),x61872),x61873)) % 194.45/194.26 [6218]E(f152(x62181,f324(f324(f151(x62181),x62182),x62183)),f324(f324(f151(x62181),x62182),f152(x62181,x62183)))+P1(f324(f324(f326(x62181),x62182),f324(f172(x62181),x62183))) % 194.45/194.26 [6255]P150(x62551,x62552,x62553)+~P1(f324(x62551,f324(f324(f36(a1),x62553),x62552))) % 194.45/194.26 [6328]E(x63281,f115(x63282))+E(f324(f324(f151(x63282),f324(f141(x63282),x63281)),f324(f324(f175(x63282),x63283),f324(f171(x63282),x63281))),f324(f324(f175(x63282),f324(a114,x63283)),x63281)) % 194.45/194.26 [6335]E(f324(f324(f3(f928(x63351,a916)),x63352),x63353),x63352)+~E(f324(f324(f103(f928(x63351,a916)),x63352),x63353),f189(f928(x63351,a916))) % 194.45/194.26 [6350]E(f152(x63501,f324(f324(f151(x63501),x63502),x63503)),f152(x63501,x63503))+~P1(f324(f324(f326(x63501),x63502),f324(f172(x63501),x63503))) % 194.45/194.26 [6380]~P1(f324(f324(f234(a920),x63801),x63803))+P1(f324(f324(f234(a920),x63801),f324(f324(f79(a920),x63802),x63803))) % 194.45/194.26 [6382]~P1(f324(f324(f234(a920),x63821),x63822))+P1(f324(f324(f234(a920),x63821),f324(f324(f79(a920),x63822),x63823))) % 194.45/194.26 [6384]~P1(f324(f324(f235(a920),x63841),x63843))+P1(f324(f324(f235(a920),x63841),f324(f324(f79(a920),x63842),x63843))) % 194.45/194.26 [6386]~P1(f324(f324(f235(a920),x63861),x63862))+P1(f324(f324(f235(a920),x63861),f324(f324(f79(a920),x63862),x63863))) % 194.45/194.26 [6424]P1(f324(f61(x64241),x64242))+~P1(f324(f61(x64241),f324(f324(f306(x64241),x64243),x64242))) % 194.45/194.26 [6425]P1(f324(f137(x64251),x64252))+~P1(f324(f137(x64251),f324(f324(f151(x64251),x64253),x64252))) % 194.45/194.26 [6426]P1(f324(f137(x64261),x64262))+~P1(f324(f137(x64261),f324(f324(f134(x64261),x64263),x64262))) % 194.45/194.26 [6427]P1(f324(f137(x64271),x64272))+~P1(f324(f137(x64271),f324(f324(f134(x64271),x64272),x64273))) % 194.45/194.26 [6477]~P121(x64771)+E(f324(f324(f79(x64771),x64772),f324(f324(f80(x64771),x64773),x64772)),f324(f324(f80(x64771),f324(f324(f79(x64771),x64773),f77(x64771))),x64772)) % 194.45/194.26 [6524]~E(x65241,x65242)+~P1(f324(f324(f235(f928(x65243,a916)),x65241),x65242)) % 194.45/194.26 [6571]P1(f324(f324(f326(x65711),x65712),x65713))+P1(f324(f324(f326(x65711),x65712),f324(f78(f928(x65711,a916)),x65713))) % 194.45/194.26 [6577]E(f144(x65771,f324(f324(f138(x65771),x65772),x65773)),f144(x65771,x65773))+~P1(f324(f324(f235(a920),x65772),f324(f190(f921(x65771)),x65773))) % 194.45/194.26 [6578]E(f324(f324(f175(x65781),x65782),f116(x65781,x65783)),f324(f324(f175(x65781),x65782),x65783))+~P1(f324(f324(f235(a920),x65782),f324(f190(f921(x65781)),x65783))) % 194.45/194.26 [6633]E(f324(f324(f324(f183(f921(x66331),f921(x66331)),x66332),f167(x66331)),x66333),x66333)+~E(f45(a920,x66332,f324(f190(f921(x66331)),x66333)),f2(a920)) % 194.45/194.26 [6640]~P5(x66401,x66403,x66402)+E(f324(f324(f286(x66401,x66401,x66401),f324(f284(x66401,x66401),x66402)),x66402),x66402) % 194.45/194.26 [6682]~E(f324(f324(f112(f928(x66821,a916)),x66822),x66823),x66823)+P1(f324(f324(f234(f928(x66821,a916)),x66822),x66823)) % 194.45/194.26 [6687]~P55(x66871,x66871,x66873)+P55(x66871,x66871,f324(f324(f183(f927(x66871,x66871),a916),x66872),x66873)) % 194.45/194.26 [6690]~P1(f324(f324(f326(x66901),x66903),f324(f172(x66901),x66902)))+P1(f324(f324(f235(a920),f2(a920)),f324(f190(f921(x66901)),x66902))) % 194.45/194.26 [6716]~P95(x67161)+E(f324(f75(x67161),f324(f324(f79(x67161),f324(f75(x67161),x67162)),f324(f75(x67161),x67163))),f324(f324(f79(x67161),f324(f75(x67161),x67162)),f324(f75(x67161),x67163))) % 194.45/194.26 [6726]E(f324(f324(f36(a920),f324(f324(f80(a920),x67261),x67262)),f324(f324(f80(a920),x67261),x67263)),f324(f324(f36(a920),x67262),x67263))+~P1(f324(f324(f235(a920),f2(a920)),x67261)) % 194.45/194.26 [6867]~P1(f324(f61(x68671),x68673))+E(f324(f324(f64(x68671,f928(x68671,a916),f306(x68671)),x68672),x68673),f324(f324(f112(f928(x68671,a916)),x68673),x68672)) % 194.45/194.26 [6923]E(f324(f324(f103(f928(x69231,a916)),x69232),x69233),x69233)+~P1(f324(f324(f234(f928(x69231,a916)),x69233),x69232)) % 194.45/194.26 [6924]E(f324(f324(f103(f928(x69241,a916)),x69242),x69243),x69242)+~P1(f324(f324(f234(f928(x69241,a916)),x69242),x69243)) % 194.45/194.26 [6925]E(f324(f324(f112(f928(x69251,a916)),x69252),x69253),x69252)+~P1(f324(f324(f234(f928(x69251,a916)),x69253),x69252)) % 194.45/194.26 [6927]E(f324(f324(f112(f928(x69271,a916)),x69272),x69273),x69273)+~P1(f324(f324(f234(f928(x69271,a916)),x69272),x69273)) % 194.45/194.26 [6978]~P1(f324(f137(x69781),x69782))+E(f324(f324(f3(f928(x69781,a916)),f324(f172(x69781),x69782)),f324(f324(f306(x69781),x69783),f189(f928(x69781,a916)))),f324(f172(x69781),f170(x69781,x69783,x69782))) % 194.45/194.26 [7030]P35(x70301,x70302)+~P35(x70301,f324(f324(f183(f927(x70301,x70301),a916),x70303),x70302)) % 194.45/194.26 [7096]P1(f324(f49(x70961,x70962),f324(a51,x70963)))+~P1(f324(f49(f324(f78(a1),x70961),f324(f78(a1),x70962)),x70963)) % 194.45/194.26 [7101]E(f324(f324(f3(f928(x71011,a916)),f324(f324(f306(x71011),x71012),x71013)),f324(f324(f306(x71011),x71012),f189(f928(x71011,a916)))),x71013)+P1(f324(f324(f326(x71011),x71012),x71013)) % 194.45/194.26 [7123]E(f324(f324(f103(f928(x71231,a916)),f324(f172(x71231),x71232)),f324(f172(x71231),x71233)),f189(f928(x71231,a916)))+~P1(f324(f137(x71231),f324(f324(f134(x71231),x71232),x71233))) % 194.45/194.26 [7138]~P1(f324(f324(f326(x71381),x71382),f324(f172(x71381),x71383)))+~P1(f324(f137(x71381),f324(f324(f151(x71381),x71382),x71383))) % 194.45/194.26 [7209]P29(x72091,x72092,x72093)+P1(f324(f324(f235(a920),f790(x72093,x72092,x72091)),f324(f190(f921(x72091)),x72093))) % 194.45/194.26 [7219]E(f324(f324(f103(f928(x72191,a916)),x72192),x72193),f189(f928(x72191,a916)))+P1(f324(f324(f326(x72191),f630(x72193,x72192,x72191)),x72192)) % 194.45/194.26 [7220]E(f324(f324(f103(f928(x72201,a916)),x72202),x72203),f189(f928(x72201,a916)))+P1(f324(f324(f326(x72201),f649(x72203,x72202,x72201)),x72203)) % 194.45/194.26 [7223]E(f116(x72231,f324(f324(f175(x72231),x72232),x72233)),f324(f324(f175(x72231),f324(f324(f3(a920),x72232),f77(a920))),x72233))+~P1(f324(f324(f234(a920),x72232),f324(f190(f921(x72231)),x72233))) % 194.45/194.26 [7282]~P31(x72823,x72822,x72821)+P1(f324(f324(f235(a920),f784(x72821,x72822,x72823)),f324(f190(f921(x72823)),x72821))) % 194.45/194.26 [7300]P1(f324(f324(f235(a920),f2(a920)),x73001))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x73002),x73001)),f324(f324(f80(a920),x73003),x73001))) % 194.45/194.26 [7301]P1(f324(f324(f235(a920),f2(a920)),x73011))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x73011),x73012)),f324(f324(f80(a920),x73011),x73013))) % 194.45/194.26 [7304]~P1(f324(f324(f326(x73041),x73042),x73043))+~P1(f324(f324(f326(x73041),x73042),f324(f78(f928(x73041,a916)),x73043))) % 194.45/194.26 [7310]~P1(f324(f324(f235(f928(x73101,a916)),x73102),x73103))+P1(f324(f324(f234(f928(x73101,a916)),x73102),x73103)) % 194.45/194.26 [7422]~P1(f324(f324(f234(a920),x74223),x74222))+P1(f324(f324(f234(a920),f324(f324(f3(a920),x74221),x74222)),f324(f324(f3(a920),x74221),x74223))) % 194.45/194.26 [7423]~P1(f324(f324(f234(a920),x74231),x74233))+P1(f324(f324(f234(a920),f324(f324(f3(a920),x74231),x74232)),f324(f324(f3(a920),x74233),x74232))) % 194.45/194.26 [7425]~P1(f324(f324(f234(a920),x74252),x74253))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x74251),x74252)),f324(f324(f80(a920),x74251),x74253))) % 194.45/194.26 [7427]~P1(f324(f324(f234(a920),x74271),x74273))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x74271),x74272)),f324(f324(f80(a920),x74273),x74272))) % 194.45/194.26 [7428]~P1(f324(f324(f234(a920),x74282),x74283))+P1(f324(f324(f234(a920),f324(f324(f79(a920),x74281),x74282)),f324(f324(f79(a920),x74281),x74283))) % 194.45/194.26 [7429]~P1(f324(f324(f234(a920),x74291),x74293))+P1(f324(f324(f234(a920),f324(f324(f79(a920),x74291),x74292)),f324(f324(f79(a920),x74293),x74292))) % 194.45/194.26 [7430]~P1(f324(f324(f234(a920),x74301),x74303))+P1(f324(f324(f234(a920),f324(f324(f36(a920),x74301),x74302)),f324(f324(f36(a920),x74303),x74302))) % 194.45/194.26 [7431]~P1(f324(f324(f234(a1),x74312),x74313))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x74311),x74312)),f324(f324(f79(a1),x74311),x74313))) % 194.45/194.26 [7434]~P1(f324(f324(f235(a920),x74342),x74343))+P1(f324(f324(f235(a920),f324(f324(f79(a920),x74341),x74342)),f324(f324(f79(a920),x74341),x74343))) % 194.45/194.26 [7435]~P1(f324(f324(f235(a920),x74351),x74353))+P1(f324(f324(f235(a920),f324(f324(f79(a920),x74351),x74352)),f324(f324(f79(a920),x74353),x74352))) % 194.45/194.26 [7436]~P1(f324(f324(f235(a1),x74361),x74363))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x74361),x74362)),f324(f324(f79(a1),x74363),x74362))) % 194.45/194.26 [7517]E(x75171,x75172)+~P1(f324(f324(f326(x75173),x75171),f324(f324(f306(x75173),x75172),f189(f928(x75173,a916))))) % 194.45/194.26 [7519]~E(f324(f324(f103(f928(x75191,a916)),x75192),x75193),f189(f928(x75191,a916)))+P1(f324(f324(f234(f928(x75191,a916)),x75192),f324(f78(f928(x75191,a916)),x75193))) % 194.45/194.26 [7524]P1(f324(f324(f326(f928(x75241,a916)),x75242),f324(f305(x75241),x75243)))+~P1(f324(f324(f234(f928(x75241,a916)),x75242),x75243)) % 194.45/194.26 [7529]P1(f324(f324(f326(x75291),f633(x75292,x75293,x75291)),x75293))+P1(f324(f324(f234(f928(x75291,a916)),x75293),x75292)) % 194.45/194.26 [7578]E(f324(f324(f151(x75781),f324(f324(f164(x75781),x75782),x75783)),f324(f324(f138(x75781),f324(a114,x75783)),x75782)),f324(f324(f138(x75781),x75783),x75782))+~P1(f324(f324(f235(a920),x75783),f324(f190(f921(x75781)),x75782))) % 194.45/194.26 [7607]P1(f324(f324(f326(f927(x76071,x76071)),x76072),f304(x76071,x76073)))+~P1(f324(f324(f326(f927(x76071,x76071)),x76072),x76073)) % 194.45/194.26 [7616]~P1(f324(f324(f326(f928(x76161,a916)),x76162),f324(f305(x76161),x76163)))+P1(f324(f324(f234(f928(x76161,a916)),x76162),x76163)) % 194.45/194.26 [7660]P1(f324(f324(f234(f928(x76601,a916)),x76602),f37(f928(x76601,a916),x76603)))+~P1(f324(f324(f326(f928(x76601,a916)),x76602),x76603)) % 194.45/194.26 [7682]~P144(x76821)+E(f324(f324(f80(x76821),f324(f324(f244(x76821),f324(f78(x76821),f77(x76821))),x76822)),f324(f324(f244(x76821),x76823),x76822)),f324(f324(f244(x76821),f324(f78(x76821),x76823)),x76822)) % 194.45/194.26 [7704]E(f324(f324(f164(x77041),x77042),f324(f324(f3(a920),f324(f190(f921(x77041)),x77042)),f324(a114,x77043))),f324(f324(f164(x77041),f324(f168(x77041),x77042)),x77043))+~P1(f324(f324(f235(a920),x77043),f324(f190(f921(x77041)),x77042))) % 194.45/194.26 [7721]~E(f324(f324(f103(f928(x77211,a916)),f652(x77213,x77212,x77211)),x77213),f189(f928(x77211,a916)))+E(f324(f324(f103(f928(x77211,a916)),f37(f928(x77211,a916),x77212)),x77213),f189(f928(x77211,a916))) % 194.45/194.26 [7783]~P1(f324(f324(f326(x77833),x77832),f324(f172(x77833),x77831)))+P1(f324(f324(f235(a920),f650(x77831,x77832,x77833)),f324(f190(f921(x77833)),x77831))) % 194.45/194.26 [7791]P1(f324(f324(f326(x77911),f324(f324(f164(x77911),x77912),x77913)),f324(f172(x77911),x77912)))+~P1(f324(f324(f235(a920),x77913),f324(f190(f921(x77911)),x77912))) % 194.45/194.26 [7888]~P1(f324(x78882,f748(x78883,x78882,x78881)))+E(f324(f324(f138(x78881),f324(f190(f921(x78881)),f177(x78881,x78882,x78883))),x78883),f115(x78881)) % 194.45/194.26 [7901]P1(f324(f324(f234(f928(f921(x79011),a916)),f161(x79011,x79012)),f161(x79011,x79013)))+~P1(f324(f324(f234(f928(x79011,a916)),x79012),x79013)) % 194.45/194.26 [7902]P1(f324(f324(f234(f928(f921(x79021),a916)),f160(x79021,x79022)),f160(x79021,x79023)))+~P1(f324(f324(f234(f928(x79021,a916)),x79022),x79023)) % 194.45/194.26 [7928]E(f324(f324(f103(f928(x79281,a916)),f37(f928(x79281,a916),x79282)),x79283),f189(f928(x79281,a916)))+P1(f324(f324(f326(f928(x79281,a916)),f652(x79283,x79282,x79281)),x79282)) % 194.45/194.26 [7930]~P1(f324(f324(f326(f928(x79301,a916)),x79303),x79302))+P1(f324(f324(f234(f928(x79301,a916)),f38(f928(x79301,a916),x79302)),x79303)) % 194.45/194.26 [7932]E(f324(f324(f103(f928(x79321,a916)),x79322),x79323),f189(f928(x79321,a916)))+~P1(f324(f324(f234(f928(x79321,a916)),x79322),f324(f78(f928(x79321,a916)),x79323))) % 194.45/194.26 [7986]E(f324(f324(f3(a920),f324(f324(f79(a920),f324(f165(a920),x79861)),x79862)),f324(f324(f164(a920),x79861),x79863)),f324(f165(a920),f324(f324(f159(a920,x79861),x79863),x79862)))+~P1(f324(f324(f235(a920),x79863),f324(f190(f921(a920)),x79861))) % 194.45/194.26 [8037]P1(f324(f324(f234(a920),x80371),x80372))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),x80373),x80371)),f324(f324(f79(a920),x80373),x80372))) % 194.45/194.26 [8040]P1(f324(f324(f235(a920),x80401),x80402))+~P1(f324(f324(f235(a920),f324(f324(f79(a920),x80403),x80401)),f324(f324(f79(a920),x80403),x80402))) % 194.45/194.26 [8041]P1(f324(f324(f235(a920),x80411),x80412))+~P1(f324(f324(f235(a920),f324(f324(f80(a920),x80413),x80411)),f324(f324(f80(a920),x80413),x80412))) % 194.45/194.26 [8042]P1(f324(f324(f235(a920),x80421),x80422))+~P1(f324(f324(f235(a920),f324(f324(f80(a920),x80421),x80423)),f324(f324(f80(a920),x80422),x80423))) % 194.45/194.26 [8071]P1(f324(f324(f235(a920),f2(a920)),x80711))+~P1(f324(f324(f235(a920),f324(f324(f80(a920),x80712),x80711)),f324(f324(f80(a920),x80713),x80711))) % 194.45/194.26 [8072]P1(f324(f324(f235(a920),f2(a920)),x80721))+~P1(f324(f324(f235(a920),f324(f324(f80(a920),x80721),x80722)),f324(f324(f80(a920),x80721),x80723))) % 194.45/194.26 [8112]~P1(f324(f324(f326(x81121),f633(x81123,x81122,x81121)),x81123))+P1(f324(f324(f234(f928(x81121,a916)),x81122),x81123)) % 194.45/194.26 [8151]E(f247(x81511,x81512,x81513),x81512)+~P1(f324(f324(f234(f928(x81511,a916)),x81513),f324(f324(f306(x81511),x81512),f189(f928(x81511,a916))))) % 194.45/194.26 [8201]~P1(f324(f137(x82011),x82013))+E(f324(f136(x82011,f324(f324(f10(a916,a916,x82011),a319),f324(a321,x82012))),x82013),f170(x82011,x82012,x82013)) % 194.45/194.26 [8226]E(f324(f324(f138(x82261),f324(f190(f921(x82261)),f177(x82261,x82262,x82263))),x82263),f115(x82261))+P1(f324(f324(f326(x82261),f748(x82263,x82262,x82261)),f324(f172(x82261),x82263))) % 194.45/194.26 [8231]E(f324(f324(f134(x82311),f324(f324(f175(x82311),x82312),x82313)),f324(f324(f151(x82311),f324(f324(f164(x82311),x82313),x82312)),f115(x82311))),f324(f324(f175(x82311),f324(a114,x82312)),x82313))+~P1(f324(f324(f235(a920),x82312),f324(f190(f921(x82311)),x82313))) % 194.45/194.26 [8293]E(f324(f136(x82931,f324(f324(f10(a916,a916,x82931),a319),f324(a321,x82932))),x82933),x82933)+P1(f324(f324(f326(x82931),x82932),f324(f172(x82931),x82933))) % 194.45/194.26 [8299]P1(f324(f324(f234(f928(f928(x82991,a916),a916)),f248(x82991,x82992)),f248(x82991,x82993)))+~P1(f324(f324(f234(f928(x82991,a916)),x82992),x82993)) % 194.45/194.26 [8319]P1(f324(f324(f326(f928(x83191,a916)),f584(x83192,x83193,x83191)),x83193))+P1(f324(f324(f234(f928(x83191,a916)),f37(f928(x83191,a916),x83193)),x83192)) % 194.45/194.26 [8340]~P1(f324(f137(x83401),x83403))+P1(f324(f137(x83401),f324(f324(f324(f183(f921(x83401),f921(x83401)),x83402),f167(x83401)),x83403))) % 194.45/194.26 [8346]~P1(f324(f324(f235(a920),x83462),x83463))+P1(f324(f324(f235(a920),f324(f324(f80(a920),f324(a114,x83461)),x83462)),f324(f324(f80(a920),f324(a114,x83461)),x83463))) % 194.45/194.26 [8366]P1(f324(f324(f234(f928(f928(x83661,a916),a916)),f324(f305(x83661),x83662)),f324(f305(x83661),x83663)))+~P1(f324(f324(f234(f928(x83661,a916)),x83662),x83663)) % 194.45/194.26 [8435]~E(f324(f307(x84351,x84352,x84353),f242(f928(x84351,a916))),f242(f928(x84352,a916)))+E(f324(f72(x84351,x84352,x84352,x84353),f91(x84351,x84352,f242(f928(x84351,a916)),x84353)),f31(x84352)) % 194.45/194.26 [8530]~P1(f324(f324(f234(f928(x85301,a916)),x85303),x85302))+P1(f324(f324(f234(f928(x85301,a916)),f324(f78(f928(x85301,a916)),x85302)),f324(f78(f928(x85301,a916)),x85303))) % 194.45/194.26 [8563]E(f324(f307(a920,a920,f324(f324(f9(a920,a920,a920),f3(a920)),x85631)),f324(f299(a920,x85632),x85633)),f324(f299(a920,f324(f324(f3(a920),x85632),x85631)),f324(f324(f3(a920),x85633),x85631)))+~P1(f324(f324(f235(a920),x85631),x85633)) % 194.45/194.26 [8589]~P89(x85891)+E(f324(f324(f79(x85891),x85892),f324(f142(x85891,x85891,f79(x85891),f2(x85891)),x85893)),f324(f142(x85891,x85891,f79(x85891),x85892),x85893)) % 194.45/194.26 [8648]~P1(f324(f324(f234(f928(x86481,a916)),f584(x86483,x86482,x86481)),x86483))+P1(f324(f324(f234(f928(x86481,a916)),f37(f928(x86481,a916),x86482)),x86483)) % 194.45/194.26 [8669]~P95(x86691)+P1(f324(f324(f234(x86691),f324(f75(x86691),f324(f324(f3(x86691),x86692),x86693))),f324(f324(f79(x86691),f324(f75(x86691),x86692)),f324(f75(x86691),x86693)))) % 194.45/194.26 [8670]~P95(x86701)+P1(f324(f324(f234(x86701),f324(f75(x86701),f324(f324(f79(x86701),x86702),x86703))),f324(f324(f79(x86701),f324(f75(x86701),x86702)),f324(f75(x86701),x86703)))) % 194.45/194.26 [8681]E(f324(f324(f79(a1),f324(f324(f80(a1),x86811),f45(a1,f324(f324(f36(a1),x86812),x86811),x86813))),f45(a1,x86812,x86811)),f45(a1,x86812,f324(f324(f80(a1),x86811),x86813)))+~P1(f324(f324(f235(a1),f2(a1)),x86813)) % 194.45/194.26 [8687]E(f324(f324(f134(x86871),f324(f324(f175(x86871),x86872),x86873)),f324(f324(f151(x86871),f324(f141(x86871),f324(f324(f138(x86871),x86872),x86873))),f115(x86871))),f324(f324(f175(x86871),f324(a114,x86872)),x86873))+~P1(f324(f324(f235(a920),x86872),f324(f190(f921(x86871)),x86873))) % 194.45/194.26 [8707]E(f324(f268(x87071,f324(f324(f154(x87071,f927(a101,x87071)),f324(f252(a101,x87071),f77(a101))),x87072)),f324(a5,x87073)),f324(f324(f164(x87071),x87072),x87073))+~P1(f324(f324(f235(a920),x87073),f324(f190(f921(x87071)),x87072))) % 194.45/194.26 [8775]P1(f324(f324(f326(f927(x87751,x87751)),x87752),f324(f324(f286(x87751,x87751,x87751),x87753),f304(x87751,x87753))))+~P1(f324(f324(f326(f927(x87751,x87751)),x87752),x87753)) % 194.45/194.26 [8786]E(f324(f307(x87861,x87862,x87863),f242(f928(x87861,a916))),f242(f928(x87862,a916)))+~E(f324(f72(x87861,x87862,x87862,x87863),f91(x87861,x87862,f242(f928(x87861,a916)),x87863)),f31(x87862)) % 194.45/194.26 [8795]P1(f324(f324(f234(a920),x87951),x87952))+~P1(f324(f324(f234(a920),f324(f324(f80(a920),f324(a114,x87953)),x87951)),f324(f324(f80(a920),f324(a114,x87953)),x87952))) % 194.45/194.26 [8811]P1(f324(f324(f234(f928(x88111,a916)),x88112),x88113))+~P1(f324(f324(f234(f928(x88111,a916)),f324(f78(f928(x88111,a916)),x88113)),f324(f78(f928(x88111,a916)),x88112))) % 194.45/194.26 [8833]P1(f324(f137(x88331),x88332))+~P1(f324(f137(x88331),f324(f324(f324(f183(f921(x88331),f921(x88331)),x88333),f167(x88331)),x88332))) % 194.45/194.26 [8905]E(f324(f283(x89051,x89051,f304(x89051,x89052)),x89053),x89053)+~P1(f324(f324(f234(f928(x89051,a916)),f324(f283(x89051,x89051,x89052),x89053)),x89053)) % 194.45/194.26 [8954]~P112(x89541)+P10(x89541,f324(f136(x89541,f324(f324(f9(x89541,x89541,a916),a321),f324(x89542,x89543))),x89543)) % 194.45/194.26 [8961]~P1(f324(f324(f234(a920),x89611),x89612))+P1(f324(f324(f234(a920),x89611),f324(f142(a920,a920,f79(a920),x89612),x89613))) % 194.45/194.26 [9049]~P1(f324(f324(f326(f927(x90491,x90491)),x90492),f304(x90491,x90493)))+P1(f324(f324(f326(f927(x90491,x90491)),x90492),f324(f324(f183(f927(x90491,x90491),a916),f653(x90493,x90492,x90491)),x90493))) % 194.45/194.26 [9130]~P89(x91301)+E(f324(f324(f79(x91301),x91302),f324(f142(x91301,x91301,f324(f9(x91301,x91301,x91301),f79(x91301)),f2(x91301)),f324(f168(x91301),x91303))),f324(f142(x91301,x91301,f79(x91301),x91302),x91303)) % 194.45/194.26 [9251]~P23(x92512,x92511,x92513,f242(f928(x92512,a916)),f242(f928(x92511,a916)))+E(f91(x92511,x92512,f242(f928(x92511,a916)),f91(x92512,x92511,f242(f928(x92512,a916)),x92513)),x92513) % 194.45/194.26 [9415]P55(x94151,x94152,x94153)+P1(f324(f324(f326(f927(x94151,x94152)),f324(f324(f252(x94151,x94152),f645(x94153,x94152,x94151)),f627(x94153,x94152,x94151))),x94153)) % 194.45/194.26 [9416]P55(x94161,x94162,x94163)+P1(f324(f324(f326(f927(x94161,x94162)),f324(f324(f252(x94161,x94162),f645(x94163,x94162,x94161)),f626(x94163,x94162,x94161))),x94163)) % 194.45/194.26 [9487]~P1(f324(f324(f326(f927(x94871,x94871)),x94872),f324(f324(f286(x94871,x94871,x94871),x94873),f304(x94871,x94873))))+P1(f324(f324(f326(f927(x94871,x94871)),x94872),f324(f324(f183(f927(x94871,x94871),a916),f655(x94873,x94872,x94871)),x94873))) % 194.45/194.26 [9488]~P1(f324(x94881,f324(f324(f164(x94882),x94883),f324(f190(f921(x94882)),f177(x94882,x94881,x94883)))))+~P1(f324(f324(f235(a920),f324(f190(f921(x94882)),f177(x94882,x94881,x94883))),f324(f190(f921(x94882)),x94883))) % 194.45/194.26 [9577]~P1(f324(f324(f234(f928(x95771,a916)),x95772),x95773))+P1(f324(f324(f234(f928(x95771,a916)),f324(f324(f9(x95771,f928(x95771,a916),a916),f326(x95771)),x95772)),f324(f324(f9(x95771,f928(x95771,a916),a916),f326(x95771)),x95773))) % 194.45/194.26 [9637]~P1(f324(f324(f326(f927(f928(x96371,a916),f928(x96371,a916))),f324(f324(f252(f928(x96371,a916),f928(x96371,a916)),x96372),x96373)),f311(x96371)))+P1(f324(f324(f235(f928(x96371,a916)),x96372),x96373)) % 194.45/194.26 [9661]P56(x96611,x96612,x96613)+~P1(f324(f324(f326(f927(x96611,x96611)),f324(f324(f252(x96611,x96611),f648(x96613,x96612,x96611)),f647(x96613,x96612,x96611))),x96613)) % 194.45/194.26 [9662]P56(x96621,x96622,x96623)+~P1(f324(f324(f326(f927(x96621,x96621)),f324(f324(f252(x96621,x96621),f647(x96623,x96622,x96621)),f648(x96623,x96622,x96621))),x96623)) % 194.45/194.26 [9700]~P1(f324(f324(f326(f927(f921(x97001),f921(x97001))),f324(f324(f252(f921(x97001),f921(x97001)),x97002),x97002)),f147(x97001,x97003)))+P1(f324(f324(f326(f927(x97001,x97001)),f324(f324(f252(x97001,x97001),f688(x97002,x97003,x97001)),f688(x97002,x97003,x97001))),x97003)) % 194.45/194.26 [9750]P1(f324(f324(f234(f928(x97501,a916)),x97502),x97503))+~P1(f324(f324(f234(f928(x97501,a916)),f324(f324(f9(x97501,f928(x97501,a916),a916),f326(x97501)),x97502)),f324(f324(f9(x97501,f928(x97501,a916),a916),f326(x97501)),x97503))) % 194.45/194.26 [9832]E(f324(f324(f3(a920),f324(f324(f8(a920,a920),x98321),f324(f280(a920),x98322))),f324(f324(f8(a920,a920),x98323),f324(f280(a920),x98322))),f324(f324(f8(a920,a920),f324(f324(f20(a920,a920,a920),f324(f324(f10(a920,f928(a920,a920),a920),f3(a920)),x98321)),x98323)),f324(f280(a920),x98322)))+~P1(f324(f324(f234(a920),f324(x98323,f459(x98322,x98321,x98323))),f324(x98321,f459(x98322,x98321,x98323)))) % 194.45/194.26 [5777]~P74(x57771)+E(f324(f324(f3(x57771),f324(f324(f79(x57771),x57772),x57773)),x57773),x57772) % 194.45/194.26 [5778]~P74(x57781)+E(f324(f324(f79(x57781),f324(f324(f3(x57781),x57782),x57783)),x57783),x57782) % 194.45/194.26 [6005]~P74(x60051)+E(f324(f324(f79(x60051),x60052),f324(f324(f79(x60051),f324(f78(x60051),x60052)),x60053)),x60053) % 194.45/194.26 [6087]~P88(x60871)+E(f324(f324(f80(x60871),f324(f324(f244(x60871),x60872),x60873)),x60872),f324(f324(f244(x60871),x60872),f324(a114,x60873))) % 194.45/194.26 [6088]~P121(x60881)+E(f324(f324(f80(x60881),f324(f324(f244(x60881),x60882),x60883)),x60882),f324(f324(f244(x60881),x60882),f324(a114,x60883))) % 194.45/194.26 [6310]~P125(x63101)+E(f324(f75(x63101),f324(f324(f244(x63101),f324(f78(x63101),x63102)),x63103)),f324(f75(x63101),f324(f324(f244(x63101),x63102),x63103))) % 194.45/194.26 [6364]~P88(x63641)+E(f324(f324(f80(x63641),f324(f324(f244(x63641),x63642),x63643)),x63642),f324(f324(f80(x63641),x63642),f324(f324(f244(x63641),x63642),x63643))) % 194.45/194.26 [6415]E(f324(f324(f3(a101),f324(f324(f79(a101),x64151),x64152)),x64153),f272(x64151,x64152,x64153))+~P1(f324(f324(f235(a101),x64152),x64153)) % 194.45/194.26 [6438]~E(f324(f324(f138(x64381),x64383),x64382),f115(x64381))+P1(f324(f324(f234(a920),f324(f190(f921(x64381)),x64382)),x64383)) % 194.45/194.26 [6576]E(f324(f324(f80(a920),f324(f105(a920),x65761)),f324(f324(f80(a920),f324(f105(a920),x65762)),x65763)),f2(a920))+~P1(f324(f324(f235(a1),x65761),a82)) % 194.45/194.26 [6593]~P70(x65931)+E(f324(f324(f244(x65931),f324(f324(f287(x65931),f77(x65931)),x65932)),x65933),f324(f324(f287(x65931),f77(x65931)),f324(f324(f244(x65931),x65932),x65933))) % 194.45/194.26 [6669]E(f324(f324(f3(a920),f324(f324(f79(a920),x66691),x66692)),x66693),f324(f324(f3(a920),x66691),f324(f324(f3(a920),x66693),x66692)))+~P1(f324(f324(f234(a920),x66692),x66693)) % 194.45/194.26 [6671]E(f324(f324(f3(a920),f324(f324(f79(a920),x66711),x66712)),x66713),f324(f324(f79(a920),x66711),f324(f324(f3(a920),x66712),x66713)))+~P1(f324(f324(f234(a920),x66713),x66712)) % 194.45/194.26 [6707]~P63(x67071)+P1(f324(f324(f234(x67071),f324(f324(f103(x67071),x67072),x67073)),x67073)) % 194.45/194.26 [6708]~P105(x67081)+P1(f324(f324(f234(x67081),f324(f324(f103(x67081),x67082),x67083)),x67083)) % 194.45/194.26 [6709]~P63(x67091)+P1(f324(f324(f234(x67091),f324(f324(f103(x67091),x67092),x67093)),x67092)) % 194.45/194.26 [6710]~P105(x67101)+P1(f324(f324(f234(x67101),f324(f324(f103(x67101),x67102),x67103)),x67102)) % 194.45/194.26 [6711]~P112(x67111)+P1(f324(f324(f234(x67111),f324(f324(f188(x67111),x67112),x67113)),x67113)) % 194.45/194.26 [6712]~P112(x67121)+P1(f324(f324(f234(x67121),f324(f324(f188(x67121),x67122),x67123)),x67122)) % 194.45/194.26 [6725]E(f324(f324(f36(a1),f324(f324(f36(a1),x67251),x67252)),x67253),f324(f324(f36(a1),x67251),f324(f324(f80(a1),x67252),x67253)))+~P1(f324(f324(f235(a1),f2(a1)),x67253)) % 194.45/194.26 [6779]~P121(x67791)+E(f324(f324(f79(x67791),f324(f324(f80(x67791),x67792),x67793)),x67793),f324(f324(f80(x67791),f324(f324(f79(x67791),x67792),f77(x67791))),x67793)) % 194.45/194.26 [6780]~P102(x67801)+E(f324(f324(f80(x67801),f324(f78(x67801),f324(f105(x67801),x67802))),x67803),f324(f324(f80(x67801),f324(f105(x67801),f324(f78(a1),x67802))),x67803)) % 194.45/194.26 [6853]~P89(x68531)+E(f324(f165(x68531),f324(f324(f154(x68532,x68531),f324(f18(x68531,x68532),f2(x68531))),x68533)),f2(x68531)) % 194.45/194.26 [6868]E(f324(f324(f79(a920),f324(f105(a920),x68681)),f324(f324(f79(a920),f324(f105(a920),x68682)),x68683)),f324(f324(f79(a920),f324(f105(a920),x68682)),x68683))+~P1(f324(a194,f324(f105(a1),x68681))) % 194.45/194.26 [6882]~P2(x68821)+E(f37(x68821,f324(f324(f306(x68821),x68822),f324(f324(f306(x68821),x68823),f189(f928(x68821,a916))))),f324(f324(f112(x68821),x68822),x68823)) % 194.45/194.26 [6883]~P2(x68831)+E(f38(x68831,f324(f324(f306(x68831),x68832),f324(f324(f306(x68831),x68833),f189(f928(x68831,a916))))),f324(f324(f103(x68831),x68832),x68833)) % 194.45/194.26 [6906]E(f324(f324(f175(x69061),x69062),x69063),x69063)+~P1(f324(f324(f234(a920),f324(f190(f921(x69061)),x69063)),x69062)) % 194.45/194.26 [6918]E(f324(f324(f138(x69181),x69182),x69183),f115(x69181))+~P1(f324(f324(f234(a920),f324(f190(f921(x69181)),x69183)),x69182)) % 194.45/194.26 [6929]E(f324(f324(f79(a920),f324(f324(f3(a920),x69291),x69292)),x69293),f324(f324(f3(a920),f324(f324(f79(a920),x69291),x69293)),x69292))+~P1(f324(f324(f234(a920),x69292),x69291)) % 194.45/194.26 [6943]~P1(f324(f324(f235(a920),x69431),x69433))+P1(f324(f324(f235(a920),f324(f324(f3(a920),x69431),x69432)),x69433)) % 194.45/194.26 [6970]~P112(x69701)+E(f170(x69701,x69702,f324(f324(f148(x69701,x69701,f7(x69701)),x69702),x69703)),x69703) % 194.45/194.26 [7060]E(f324(f324(f3(a920),f324(f324(f79(a920),x70601),x70602)),f324(a114,x70603)),f324(f324(f3(a920),x70601),f324(a114,f324(f324(f3(a920),x70603),x70602))))+~P1(f324(f324(f234(a920),x70602),x70603)) % 194.45/194.26 [7061]~P125(x70611)+P1(f324(f324(f234(x70611),f2(x70611)),f324(f324(f244(x70611),f324(f75(x70611),x70612)),x70613))) % 194.45/194.26 [7106]P11(x71061,x71062,x71063)+~P1(f324(f324(f234(f928(f919(x71061),a916)),x71063),x71062)) % 194.45/194.26 [7149]~P1(f324(f61(x71491),x71492))+P1(f324(f61(x71491),f324(f324(f3(f928(x71491,a916)),x71492),x71493))) % 194.45/194.26 [7150]~P1(f324(f61(x71501),x71503))+P1(f324(f61(x71501),f324(f324(f103(f928(x71501,a916)),x71502),x71503))) % 194.45/194.26 [7151]~P1(f324(f61(x71511),x71512))+P1(f324(f61(x71511),f324(f324(f103(f928(x71511,a916)),x71512),x71513))) % 194.45/194.26 [7290]~P35(x72901,x72903)+P35(x72901,f324(f324(f103(f928(f927(x72901,x72901),a916)),x72902),x72903)) % 194.45/194.26 [7291]~P35(x72911,x72912)+P35(x72911,f324(f324(f103(f928(f927(x72911,x72911),a916)),x72912),x72913)) % 194.45/194.26 [7418]~P105(x74181)+E(f12(x74181,f324(f172(x74181),f324(f324(f151(x74181),x74182),x74183))),f324(f142(x74181,x74181,f103(x74181),x74182),x74183)) % 194.45/194.26 [7419]~P105(x74191)+E(f15(x74191,f324(f172(x74191),f324(f324(f151(x74191),x74192),x74193))),f324(f142(x74191,x74191,f112(x74191),x74192),x74193)) % 194.45/194.26 [7420]~P112(x74201)+E(f16(x74201,f324(f172(x74201),f324(f324(f151(x74201),x74202),x74203))),f324(f142(x74201,x74201,f188(x74201),x74202),x74203)) % 194.45/194.26 [7421]~P112(x74211)+E(f17(x74211,f324(f172(x74211),f324(f324(f151(x74211),x74212),x74213))),f324(f142(x74211,x74211,f233(x74211),x74212),x74213)) % 194.45/194.26 [7485]~P1(f324(f61(x74851),x74852))+P1(f324(f324(f234(a920),f324(f35(x74851),x74852)),f324(f35(x74851),f324(f324(f306(x74851),x74853),x74852)))) % 194.45/194.26 [7492]E(f324(f324(f112(f928(a920,a916)),f324(f299(a920,x74921),x74922)),f324(f299(a920,x74922),f324(f324(f79(a920),x74922),x74923))),f324(f299(a920,x74921),f324(f324(f79(a920),x74922),x74923)))+~P1(f324(f324(f234(a920),x74921),x74922)) % 194.45/194.26 [7501]P1(f324(f324(f234(a920),x75011),x75012))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),x75013),x75011)),x75012)) % 194.45/194.26 [7502]P1(f324(f324(f234(a920),x75021),x75022))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),x75021),x75023)),x75022)) % 194.45/194.26 [7503]P1(f324(f324(f235(a920),x75031),x75032))+~P1(f324(f324(f235(a920),f324(f324(f79(a920),x75031),x75033)),x75032)) % 194.45/194.26 [7542]~P112(x75421)+E(f13(x75421,f188(x75421),f324(f172(x75421),f324(f324(f151(x75421),x75422),x75423))),f324(f142(x75421,x75421,f188(x75421),x75422),x75423)) % 194.45/194.26 [7543]~P112(x75431)+E(f14(x75431,f233(x75431),f324(f172(x75431),f324(f324(f151(x75431),x75432),x75433))),f324(f142(x75431,x75431,f233(x75431),x75432),x75433)) % 194.45/194.26 [7547]~E(x75472,f189(f928(f927(x75471,x75471),a916)))+P1(f324(f324(f234(f928(f927(x75471,x75471),a916)),x75472),x75473)) % 194.45/194.26 [7655]E(f324(f324(f112(f928(x76551,a916)),x76552),f324(f324(f3(f928(x76551,a916)),x76553),x76552)),x76553)+~P1(f324(f324(f234(f928(x76551,a916)),x76552),x76553)) % 194.45/194.26 [7656]~P1(f324(f324(f234(a920),x76561),f324(f324(f79(a920),x76563),x76562)))+P1(f324(f324(f234(a920),f324(f324(f3(a920),x76561),x76562)),x76563)) % 194.45/194.26 [7657]~P1(f324(f324(f235(a920),x76571),f324(f324(f3(a920),x76573),x76572)))+P1(f324(f324(f235(a920),f324(f324(f79(a920),x76571),x76572)),x76573)) % 194.45/194.26 [7711]E(x77111,f115(x77112))+E(f324(f141(x77112),f324(f324(f324(f183(f921(x77112),f921(x77112)),x77113),f167(x77112)),x77111)),f324(f324(f164(x77112),x77111),f45(a920,x77113,f324(f190(f921(x77112)),x77111)))) % 194.45/194.26 [7720]E(f324(f324(f306(x77201),x77202),f324(f324(f3(f928(x77201,a916)),x77203),f324(f324(f306(x77201),x77202),f189(f928(x77201,a916))))),x77203)+~P1(f324(f324(f326(x77201),x77202),x77203)) % 194.45/194.26 [7879]P1(f324(f324(f234(a920),x78791),f324(f324(f79(a920),x78792),x78793)))+~P1(f324(f324(f234(a920),f324(f324(f3(a920),x78791),x78793)),x78792)) % 194.45/194.26 [7880]P1(f324(f324(f235(a920),x78801),f324(f324(f3(a920),x78802),x78803)))+~P1(f324(f324(f235(a920),f324(f324(f79(a920),x78801),x78803)),x78802)) % 194.45/194.26 [7905]P1(f324(f61(x79051),x79052))+~P1(f324(f61(x79051),f324(f324(f112(f928(x79051,a916)),x79053),x79052))) % 194.45/194.26 [7906]P1(f324(f61(x79061),x79062))+~P1(f324(f61(x79061),f324(f324(f112(f928(x79061,a916)),x79062),x79063))) % 194.45/194.26 [7984]~P45(x79841,x79843)+P1(f324(f324(f326(f927(x79841,x79841)),f324(f324(f252(x79841,x79841),x79842),x79842)),x79843)) % 194.45/194.26 [8121]E(f324(f324(f164(a920),f139(a920,f324(f299(a920,x81211),x81212))),x81213),f324(f324(f79(a920),x81211),x81213))+~P1(f324(f324(f235(a920),f324(f324(f79(a920),x81211),x81213)),x81212)) % 194.45/194.26 [8190]E(f324(f324(f175(a920),x81901),f139(a920,f324(f299(a920,x81902),x81903))),f139(a920,f324(f299(a920,x81902),f324(f324(f79(a920),x81902),x81901))))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),x81902),x81901)),x81903)) % 194.45/194.26 [8248]~P102(x82481)+E(f324(f324(f244(x82481),x82482),f324(f105(a920),f324(f324(f79(a1),x82483),x82483))),f324(f324(f85(x82481,x82481),f324(f324(f244(x82481),x82482),f324(f105(a920),x82483))),f324(f324(f20(x82481,x82481,x82481),f80(x82481)),f7(x82481)))) % 194.45/194.26 [8510]E(f324(f324(f134(x85101),f324(f324(f175(x85101),x85102),x85103)),f324(f324(f151(x85101),f324(f324(f164(x85101),x85103),x85102)),f324(f324(f138(x85101),f324(a114,x85102)),x85103))),x85103)+~P1(f324(f324(f235(a920),x85102),f324(f190(f921(x85101)),x85103))) % 194.45/194.26 [8517]P1(f324(f324(f234(f928(x85171,a916)),f312(x85171,x85172)),f312(x85171,x85173)))+~P1(f324(f324(f234(f928(x85171,f928(x85171,a916))),x85173),x85172)) % 194.45/194.26 [8518]~P56(x85181,x85182,x85183)+P56(x85181,x85182,f324(f324(f3(f928(f927(x85181,x85181),a916)),x85183),f304(x85181,f189(f928(f927(x85181,x85181),a916))))) % 194.45/194.26 [8538]P1(f324(f324(f234(f928(x85381,a916)),f313(x85381,x85382)),f313(x85381,x85383)))+~P1(f324(f324(f234(f928(f927(x85381,x85381),a916)),x85383),x85382)) % 194.45/194.26 [8544]~P1(f324(f324(f235(f928(x85441,a916)),x85443),x85442))+P1(f324(f324(f326(x85441),f807(x85442,x85443,x85441)),f324(f324(f3(f928(x85441,a916)),x85442),x85443))) % 194.45/194.26 [8546]~P131(x85461)+P1(f324(f324(f234(x85461),f2(x85461)),f324(f324(f79(x85461),f324(f324(f80(x85461),x85462),x85462)),f324(f324(f80(x85461),x85463),x85463)))) % 194.45/194.26 [8578]P1(f324(f324(f234(f928(x85781,a916)),f324(f279(x85781),x85782)),f324(f279(x85781),x85783)))+~P1(f324(f324(f234(f928(f927(x85781,x85781),a916)),x85782),x85783)) % 194.45/194.26 [8609]~P54(x86091,x86092)+~P1(f324(f324(f326(f927(x86091,x86091)),f324(f324(f252(x86091,x86091),x86093),x86093)),x86092)) % 194.45/194.26 [8611]~P35(x86111,x86112)+~P1(f324(f324(f326(f927(x86111,x86111)),f324(f324(f252(x86111,x86111),x86113),x86113)),x86112)) % 194.45/194.26 [8671]P1(f324(f324(f234(f928(x86711,a916)),f37(f928(x86711,a916),x86712)),f37(f928(x86711,a916),x86713)))+~P1(f324(f324(f234(f928(f928(x86711,a916),a916)),x86712),x86713)) % 194.45/194.26 [8672]P1(f324(f324(f234(f928(x86721,a916)),f38(f928(x86721,a916),x86722)),f38(f928(x86721,a916),x86723)))+~P1(f324(f324(f234(f928(f928(x86721,a916),a916)),x86723),x86722)) % 194.45/194.26 [8726]~P5(x87261,x87263,x87262)+P1(f324(f324(f234(f928(f927(x87261,x87261),a916)),x87262),f324(f324(f254(x87261,x87261),x87263),f324(f18(f928(x87261,a916),x87261),x87263)))) % 194.45/194.26 [8727]~P53(x87271,x87273,x87272)+P1(f324(f324(f234(f928(f927(x87271,x87271),a916)),x87272),f324(f324(f254(x87271,x87271),x87273),f324(f18(f928(x87271,a916),x87271),x87273)))) % 194.45/194.26 [8776]~P95(x87761)+P1(f324(f324(f234(x87761),f324(f324(f3(x87761),f324(f75(x87761),x87762)),f324(f75(x87761),x87763))),f324(f75(x87761),f324(f324(f3(x87761),x87763),x87762)))) % 194.45/194.26 [8777]~P95(x87771)+P1(f324(f324(f234(x87771),f324(f324(f3(x87771),f324(f75(x87771),x87772)),f324(f75(x87771),x87773))),f324(f75(x87771),f324(f324(f3(x87771),x87772),x87773)))) % 194.45/194.26 [8809]P1(f324(f324(f234(f928(f927(x88091,x88091),a916)),f304(x88091,x88092)),f304(x88091,x88093)))+~P1(f324(f324(f234(f928(f927(x88091,x88091),a916)),x88092),x88093)) % 194.45/194.26 [8918]~P22(x89182,x89181,x89183,f242(f928(x89182,a916)))+E(f324(f72(x89181,x89182,x89182,f91(x89182,x89181,f242(f928(x89182,a916)),x89183)),x89183),f31(x89182)) % 194.45/194.26 [8979]P56(x89791,x89792,x89793)+~P56(x89791,x89792,f324(f324(f3(f928(f927(x89791,x89791),a916)),x89793),f304(x89791,f189(f928(f927(x89791,x89791),a916))))) % 194.45/194.26 [8999]P1(f324(f324(f234(f928(f927(f921(x89991),f921(x89991)),a916)),f157(x89991,x89992)),f157(x89991,x89993)))+~P1(f324(f324(f234(f928(f927(x89991,x89991),a916)),x89992),x89993)) % 194.45/194.26 [9000]P1(f324(f324(f234(f928(f927(f921(x90001),f921(x90001)),a916)),f158(x90001,x90002)),f158(x90001,x90003)))+~P1(f324(f324(f234(f928(f927(x90001,x90001),a916)),x90002),x90003)) % 194.45/194.26 [9021]~P53(x90211,x90213,x90212)+P1(f324(f324(f234(f928(f927(x90211,x90211),a916)),x90212),f324(f324(f286(x90211,x90211,x90211),f324(f284(x90211,x90211),x90212)),x90212))) % 194.45/194.26 [9076]~P1(f324(f137(x90761),x90762))+E(f324(f136(x90761,f324(f324(f9(x90761,f928(x90761,a916),a916),f326(x90761)),f324(f172(x90761),f176(x90761,x90762,x90763)))),x90762),f176(x90761,x90762,x90763)) % 194.45/194.26 [9128]E(x91281,x91282)+~P1(f324(f324(f326(f927(x91283,x91283)),f324(f324(f252(x91283,x91283),x91281),x91282)),f304(x91283,f189(f928(f927(x91283,x91283),a916))))) % 194.45/194.26 [9214]P1(f324(f324(f326(x92141),x92142),f313(x92141,x92143)))+P1(f324(f324(f326(f927(x92141,x92141)),f324(f324(f252(x92141,x92141),f553(x92143,x92142,x92141)),x92142)),x92143)) % 194.45/194.26 [9215]P1(f324(f324(f326(x92151),x92152),f313(x92151,x92153)))+P1(f324(f324(f326(f927(x92151,x92151)),f324(f324(f252(x92151,x92151),f635(x92153,x92152,x92151)),x92152)),x92153)) % 194.45/194.26 [9216]P1(f324(f324(f326(x92161),x92162),f313(x92161,x92163)))+P1(f324(f324(f326(f927(x92161,x92161)),f324(f324(f252(x92161,x92161),f636(x92163,x92162,x92161)),x92162)),x92163)) % 194.45/194.26 [9252]P22(x92521,x92522,x92523,f242(f928(x92521,a916)))+~E(f324(f72(x92522,x92521,x92521,f91(x92521,x92522,f242(f928(x92521,a916)),x92523)),x92523),f31(x92521)) % 194.45/194.26 [9313]~P1(f324(f324(f326(f921(x93131)),x93133),f161(x93131,x93132)))+P1(f324(f160(x93131,f324(f324(f9(x93131,f928(x93131,a916),a916),f326(x93131)),x93132)),x93133)) % 194.45/194.26 [9339]P1(f324(x93393,x93392))+E(f324(f262(x93391),f324(f324(f20(x93391,a916,a916),f324(f324(f10(a916,f928(a916,a916),x93391),a322),f324(a321,x93392))),x93393)),f189(f928(x93391,a916))) % 194.45/194.26 [9357]~P95(x93571)+P1(f324(f324(f234(x93571),f324(f75(x93571),f324(f324(f3(x93571),f324(f75(x93571),x93572)),f324(f75(x93571),x93573)))),f324(f75(x93571),f324(f324(f3(x93571),x93572),x93573)))) % 194.45/194.26 [9372]~P1(f324(x93723,x93722))+E(f324(f262(x93721),f324(f324(f20(x93721,a916,a916),f324(f324(f10(a916,f928(a916,a916),x93721),a322),f324(a321,x93722))),x93723)),f324(f324(f306(x93721),x93722),f189(f928(x93721,a916)))) % 194.45/194.26 [9379]~P1(f324(f324(f326(f928(x93791,a916)),x93793),f324(f305(x93791),x93792)))+P1(f324(f248(x93791,f324(f324(f9(x93791,f928(x93791,a916),a916),f326(x93791)),x93792)),x93793)) % 194.45/194.26 [9414]P35(x94141,x94142)+P1(f324(f324(f326(f927(x94141,x94141)),f324(f324(f252(x94141,x94141),f324(f597(x94142,x94141),f324(a114,x94143))),f324(f597(x94142,x94141),x94143))),x94142)) % 194.45/194.26 [9556]P1(f324(f324(f326(f921(x95561)),x95562),f161(x95561,x95563)))+~P1(f324(f160(x95561,f324(f324(f9(x95561,f928(x95561,a916),a916),f326(x95561)),x95563)),x95562)) % 194.45/194.26 [9569]P1(f324(f324(f326(f928(x95691,a916)),x95692),f324(f305(x95691),x95693)))+~P1(f324(f248(x95691,f324(f324(f9(x95691,f928(x95691,a916),a916),f326(x95691)),x95693)),x95692)) % 194.45/194.26 [9632]P1(f324(f324(f326(x96321),f324(f268(x96321,x96322),x96323)),f324(f172(x96321),f324(f324(f154(f927(a101,x96321),x96321),f256(a101,x96321)),x96322))))+~P1(f324(f324(f235(a101),x96323),f324(f165(a101),f324(f324(f154(f927(a101,x96321),a101),f251(a101,x96321)),x96322)))) % 194.45/194.26 [9679]P1(f324(f324(f234(f928(f927(f921(x96791),f921(x96791)),a916)),f158(x96791,x96792)),f324(f324(f254(f921(x96791),f921(x96791)),f161(x96791,x96793)),f324(f18(f928(f921(x96791),a916),f921(x96791)),f161(x96791,x96793)))))+~P1(f324(f324(f234(f928(f927(x96791,x96791),a916)),x96792),f324(f324(f254(x96791,x96791),x96793),f324(f18(f928(x96791,a916),x96791),x96793)))) % 194.45/194.26 [9703]P1(f324(f324(f326(x97031),f324(f251(x97031,f927(a101,a101)),f324(f266(x97031,x97032),x97033))),f324(f172(x97031),f324(f324(f154(f927(a101,x97031),x97031),f256(a101,x97031)),x97032))))+~P1(f324(f324(f235(a101),f2(a101)),f324(f165(a101),f324(f324(f154(f927(a101,x97031),a101),f251(a101,x97031)),x97032)))) % 194.45/194.26 [9718]~P1(f324(f324(f234(f928(f927(x97181,x97181),a916)),x97182),f324(f324(f254(x97181,x97181),x97183),f324(f18(f928(x97181,a916),x97181),x97183))))+P1(f324(f324(f234(f928(f927(x97181,x97181),a916)),f324(f324(f286(x97181,x97181,x97181),x97182),f304(x97181,x97182))),f324(f324(f254(x97181,x97181),x97183),f324(f18(f928(x97181,a916),x97181),x97183)))) % 194.45/194.26 [10022]~P35(x100221,x100222)+~P1(f324(f324(f326(f927(x100221,x100221)),f324(f324(f252(x100221,x100221),f324(x100223,f324(a114,f598(x100222,x100221,x100223)))),f324(x100223,f598(x100222,x100221,x100223)))),x100222)) % 194.45/194.26 [10023]~P35(x100231,x100232)+~P1(f324(f324(f326(f927(x100231,x100231)),f324(f324(f252(x100231,x100231),f324(x100233,f324(a114,f640(x100233,x100232,x100231)))),f324(x100233,f640(x100233,x100232,x100231)))),x100232)) % 194.45/194.26 [10269]P1(f324(f324(f234(f928(f927(f928(x102691,a916),f928(x102691,a916)),a916)),f324(f324(f286(f928(x102691,a916),f928(x102691,a916),f928(x102691,a916)),f315(x102691,x102692)),f324(f324(f112(f928(f927(f928(x102691,a916),f928(x102691,a916)),a916)),f315(x102691,x102693)),f324(f324(f306(f927(f928(x102691,a916),f928(x102691,a916))),f324(f324(f252(f928(x102691,a916),f928(x102691,a916)),f189(f928(x102691,a916))),f189(f928(x102691,a916)))),f189(f928(f927(f928(x102691,a916),f928(x102691,a916)),a916)))))),f315(x102691,x102692)))+~P1(f324(f324(f234(f928(f927(x102691,x102691),a916)),f324(f324(f286(x102691,x102691,x102691),x102692),x102693)),x102692)) % 194.45/194.26 [10270]P1(f324(f324(f234(f928(f927(f928(x102701,a916),f928(x102701,a916)),a916)),f324(f324(f286(f928(x102701,a916),f928(x102701,a916),f928(x102701,a916)),f316(x102701,x102702)),f324(f324(f112(f928(f927(f928(x102701,a916),f928(x102701,a916)),a916)),f316(x102701,x102703)),f324(f324(f306(f927(f928(x102701,a916),f928(x102701,a916))),f324(f324(f252(f928(x102701,a916),f928(x102701,a916)),f189(f928(x102701,a916))),f189(f928(x102701,a916)))),f189(f928(f927(f928(x102701,a916),f928(x102701,a916)),a916)))))),f316(x102701,x102702)))+~P1(f324(f324(f234(f928(f927(x102701,x102701),a916)),f324(f324(f286(x102701,x102701,x102701),x102702),x102703)),x102702)) % 194.45/194.26 [7417]~P1(f324(f324(f234(a920),x74172),x74171))+E(f324(f324(f3(a920),f324(a114,f324(f324(f3(a920),x74171),x74172))),x74173),f324(f324(f3(a920),f324(a114,x74171)),f324(f324(f79(a920),x74172),x74173))) % 194.45/194.26 [7456]~P67(x74561)+E(f324(f324(f79(x74561),f45(x74561,x74562,x74563)),f324(f324(f80(x74561),f324(f324(f36(x74561),x74562),x74563)),x74563)),x74562) % 194.45/194.26 [7661]E(f324(f324(f80(a920),f324(f105(a920),x76611)),f324(f324(f80(a920),f324(f105(a920),x76612)),x76613)),f324(f324(f80(a920),f324(f105(a920),f324(f324(f80(a1),x76611),x76612))),x76613))+P1(f324(f324(f235(a1),x76611),a82)) % 194.45/194.26 [8132]~P1(f324(f324(f234(a920),x81323),x81322))+P1(f324(f324(f234(a920),x81321),f324(f324(f3(a920),f324(f324(f79(a920),x81322),x81321)),x81323))) % 194.45/194.26 [8331]~P1(f324(f324(f234(a920),x83311),x83312))+E(f324(f324(f134(a920),f139(a920,f324(f299(a920,x83311),x83312))),f139(a920,f324(f299(a920,x83312),f324(f324(f79(a920),x83312),x83313)))),f139(a920,f324(f299(a920,x83311),f324(f324(f79(a920),x83312),x83313)))) % 194.45/194.26 [8586]~P1(f324(f61(x85861),x85862))+E(f324(a114,f324(f35(x85861),f324(f324(f3(f928(x85861,a916)),x85862),f324(f324(f306(x85861),x85863),f189(f928(x85861,a916)))))),f324(f35(x85861),f324(f324(f306(x85861),x85863),x85862))) % 194.45/194.26 [8627]~P1(f324(f61(x86271),x86272))+E(f324(f324(f79(a920),f77(a920)),f324(f35(x86271),f324(f324(f3(f928(x86271,a916)),x86272),f324(f324(f306(x86271),x86273),f189(f928(x86271,a916)))))),f324(f35(x86271),f324(f324(f306(x86271),x86273),x86272))) % 194.45/194.26 [8817]E(f324(f324(f3(a920),f324(f35(x88171),x88172)),f324(f35(x88171),f324(f324(f103(f928(x88171,a916)),x88172),x88173))),f324(f35(x88171),f324(f324(f3(f928(x88171,a916)),x88172),x88173)))+~P1(f324(f61(x88171),f324(f324(f103(f928(x88171,a916)),x88172),x88173))) % 194.45/194.26 [9071]~P3(f324(x90712,f446(x90712,x90713,x90711)))+E(f324(f102(a1),f324(f324(f8(x90711,a920),f324(f324(f10(a1,a920,x90711),a106),x90712)),x90713)),f324(f324(f8(x90711,a1),x90712),x90713)) % 194.45/194.26 [9072]~P3(f324(x90722,f447(x90722,x90723,x90721)))+E(f324(f102(a1),f324(f324(f11(x90721,a920),f324(f324(f10(a1,a920,x90721),a106),x90722)),x90723)),f324(f324(f11(x90721,a1),x90722),x90723)) % 194.45/194.26 [9112]~P1(f324(f61(x91121),x91123))+P1(f324(f324(f234(a920),f324(f324(f3(a920),f324(f35(x91121),x91122)),f324(f35(x91121),x91123))),f324(f35(x91121),f324(f324(f3(f928(x91121,a916)),x91122),x91123)))) % 194.45/194.26 [9139]P1(f324(f324(f326(x91391),f446(x91392,x91393,x91391)),x91393))+E(f324(f102(a1),f324(f324(f8(x91391,a920),f324(f324(f10(a1,a920,x91391),a106),x91392)),x91393)),f324(f324(f8(x91391,a1),x91392),x91393)) % 194.45/194.26 [9140]P1(f324(f324(f326(x91401),f447(x91402,x91403,x91401)),x91403))+E(f324(f102(a1),f324(f324(f11(x91401,a920),f324(f324(f10(a1,a920,x91401),a106),x91402)),x91403)),f324(f324(f11(x91401,a1),x91402),x91403)) % 194.45/194.26 [9206]E(f84(x92061,f324(f324(f9(x92061,f928(x92061,a916),a916),f326(x92061)),f324(f324(f3(f928(x92061,a916)),x92062),f324(f324(f306(x92061),x92063),f189(f928(x92061,a916)))))),f247(x92061,x92063,x92062))+P1(f324(f324(f234(f928(x92061,a916)),x92062),f324(f324(f306(x92061),x92063),f189(f928(x92061,a916))))) % 194.45/194.26 [9570]E(f324(f324(f154(f921(x95701),x95701),f324(f324(f9(f921(x95701),a920,x95701),f164(x95701)),x95702)),f324(f136(f921(x95701),f324(f324(f10(a920,a916,f921(x95701)),f324(f235(a920),x95702)),f190(f921(x95701)))),x95703)),f324(f324(f164(f921(x95701)),f179(x95701,x95703)),x95702))+~P1(f324(f324(f235(a920),x95702),f324(f190(f921(f921(x95701))),f179(x95701,x95703)))) % 194.45/194.26 [9652]E(f324(f136(x96521,x96522),x96523),f177(x96521,x96522,x96523))+P1(f324(f324(f326(x96521),f751(x96523,x96522,x96521)),f324(f172(x96521),f324(f324(f138(x96521),f324(f190(f921(x96521)),f177(x96521,x96522,x96523))),x96523)))) % 194.45/194.26 [9792]E(f324(f324(f138(x97921),f324(f190(f921(x97921)),f177(x97921,x97922,x97923))),x97923),f115(x97921))+~P1(f324(x97922,f324(f141(x97921),f324(f324(f138(x97921),f324(f190(f921(x97921)),f177(x97921,x97922,x97923))),x97923)))) % 194.45/194.26 [9886]~P1(f324(f324(f326(f927(x98861,x98861)),x98862),f304(x98861,x98863)))+P1(f324(f324(f326(f927(x98861,x98861)),x98862),f324(f324(f40(a920,f928(f927(x98861,x98861),a916)),f242(f928(a920,a916))),f324(f324(f9(a920,f928(f927(x98861,x98861),a916),f928(f927(x98861,x98861),a916)),f183(f927(x98861,x98861),a916)),x98863)))) % 194.45/194.26 [9946]~P1(f324(f324(f234(f928(x99461,a916)),f324(f324(f40(a920,f928(x99461,a916)),f324(f299(a920,f2(a920)),f505(x99463,x99462,x99461))),x99462)),x99463))+P1(f324(f324(f234(f928(x99461,a916)),f324(f324(f40(a920,f928(x99461,a916)),f242(f928(a920,a916))),x99462)),x99463)) % 194.45/194.26 [9996]~P1(f324(f324(f235(a1),f2(a1)),x99963))+P1(f324(f324(f235(a1),x99961),f324(f324(f79(a1),x99962),f324(f324(f80(a1),f324(f324(f79(a1),f324(f75(a1),f324(f324(f3(a1),x99962),x99961))),f77(a1))),x99963)))) % 194.45/194.26 [10009]~P35(x100091,f324(f324(f112(f928(f927(x100091,x100091),a916)),x100092),x100093))+P35(x100091,f324(f324(f112(f928(f927(x100091,x100091),a916)),f324(f324(f112(f928(f927(x100091,x100091),a916)),f324(f324(f286(x100091,x100091,x100091),x100092),x100092)),f324(f324(f286(x100091,x100091,x100091),x100093),x100092))),x100093)) % 194.45/194.26 [10083]P35(x100831,f324(f324(f112(f928(f927(x100831,x100831),a916)),x100832),x100833))+~P35(x100831,f324(f324(f112(f928(f927(x100831,x100831),a916)),f324(f324(f112(f928(f927(x100831,x100831),a916)),f324(f324(f286(x100831,x100831,x100831),x100832),x100832)),f324(f324(f286(x100831,x100831,x100831),x100833),x100832))),x100833)) % 194.45/194.26 [9655]~P144(x96551)+E(f324(f104(x96551),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x96552),x96553)),f189(f928(f927(a920,a920),a916)))))),f324(f324(f3(x96551),f324(f102(x96551),x96552)),f324(f102(x96551),x96553))) % 194.45/194.26 [9738]P1(f324(x97383,x97382))+E(f324(f262(x97381),f324(f324(f20(x97381,a916,a916),f324(f324(f10(a916,f928(a916,a916),x97381),a322),f324(f324(f9(x97381,x97381,a916),a321),x97382))),x97383)),f189(f928(x97381,a916))) % 194.45/194.26 [9740]~P1(f324(x97403,x97402))+E(f324(f262(x97401),f324(f324(f20(x97401,a916,a916),f324(f324(f10(a916,f928(a916,a916),x97401),a322),f324(f324(f9(x97401,x97401,a916),a321),x97402))),x97403)),f324(f324(f306(x97401),x97402),f189(f928(x97401,a916)))) % 194.45/194.26 [9975]E(x99751,x99752)+P1(f324(f324(f243(x99753,x99753,f324(f324(f10(f928(x99753,a916),f928(x99753,a916),x99753),f324(f10(a916,a916,x99753),a319)),a321)),x99751),x99752)) % 194.45/194.26 [10063]~E(x100631,x100632)+~P1(f324(f324(f243(x100633,x100633,f324(f324(f10(f928(x100633,a916),f928(x100633,a916),x100633),f324(f10(a916,a916,x100633),a319)),a321)),x100631),x100632)) % 194.45/194.26 [10075]~P1(f324(f61(x100751),x100753))+E(f324(f324(f64(x100751,f928(x100751,a916),f324(f324(f10(f928(x100751,a916),f928(f928(x100751,a916),f928(x100751,a916)),x100751),f324(f9(f928(x100751,a916),f928(x100751,a916),f928(x100751,a916)),f3(f928(x100751,a916)))),f324(f324(f9(x100751,f928(x100751,a916),f928(x100751,a916)),f306(x100751)),f189(f928(x100751,a916))))),x100752),x100753),f324(f324(f3(f928(x100751,a916)),x100752),x100753)) % 194.45/194.26 [10107]~P1(f324(f324(f235(a1),f2(a1)),x101073))+P1(f324(f324(f235(a1),f324(f324(f3(a1),x101071),f324(f324(f80(a1),f324(f324(f79(a1),f324(f75(a1),f324(f324(f3(a1),x101071),x101072))),f77(a1))),x101073))),x101072)) % 194.45/194.26 [10348]~P1(f324(f324(f326(x103481),x103483),f313(x103481,x103482)))+P1(f324(f312(x103481,f324(f324(f9(x103481,f928(f927(x103481,x103481),a916),f928(x103481,a916)),f324(f324(f10(f928(x103481,f928(f928(f927(x103481,x103481),a916),a916)),f928(f928(f927(x103481,x103481),a916),f928(x103481,a916)),x103481),f9(x103481,f928(f927(x103481,x103481),a916),a916)),f324(f324(f10(f928(x103481,f927(x103481,x103481)),f928(x103481,f928(f928(f927(x103481,x103481),a916),a916)),x103481),f324(f10(f927(x103481,x103481),f928(f928(f927(x103481,x103481),a916),a916),x103481),f326(f927(x103481,x103481)))),f252(x103481,x103481)))),x103482)),x103483)) % 194.45/194.26 [10361]P1(f324(f324(f326(x103611),x103612),f313(x103611,x103613)))+~P1(f324(f312(x103611,f324(f324(f9(x103611,f928(f927(x103611,x103611),a916),f928(x103611,a916)),f324(f324(f10(f928(x103611,f928(f928(f927(x103611,x103611),a916),a916)),f928(f928(f927(x103611,x103611),a916),f928(x103611,a916)),x103611),f9(x103611,f928(f927(x103611,x103611),a916),a916)),f324(f324(f10(f928(x103611,f927(x103611,x103611)),f928(x103611,f928(f928(f927(x103611,x103611),a916),a916)),x103611),f324(f10(f927(x103611,x103611),f928(f928(f927(x103611,x103611),a916),a916),x103611),f326(f927(x103611,x103611)))),f252(x103611,x103611)))),x103613)),x103612)) % 194.45/194.26 [9944]~P1(f324(f61(x99441),f324(f262(x99441),x99443)))+P1(f324(f61(x99441),f324(f262(x99441),f324(f324(f20(x99441,a916,a916),f324(f324(f10(a916,f928(a916,a916),x99441),a322),x99442)),x99443)))) % 194.45/194.26 [9945]~P1(f324(f61(x99451),f324(f262(x99451),x99452)))+P1(f324(f61(x99451),f324(f262(x99451),f324(f324(f20(x99451,a916,a916),f324(f324(f10(a916,f928(a916,a916),x99451),a322),x99452)),x99453)))) % 194.45/194.26 [10042]P1(f324(f61(x100421),f324(f262(x100421),x100422)))+~P1(f324(f61(x100421),f324(f262(x100421),f324(f324(f20(x100421,a916,a916),f324(f324(f10(a916,f928(a916,a916),x100421),a323),x100423)),x100422)))) % 194.45/194.26 [10043]P1(f324(f61(x100431),f324(f262(x100431),x100432)))+~P1(f324(f61(x100431),f324(f262(x100431),f324(f324(f20(x100431,a916,a916),f324(f324(f10(a916,f928(a916,a916),x100431),a323),x100432)),x100433)))) % 194.45/194.26 [10328]~P1(f324(f61(x103281),x103282))+P1(f324(f61(f921(x103281)),f324(f262(f921(x103281)),f324(f324(f20(f921(x103281),a916,a916),f324(f324(f10(a916,f928(a916,a916),f921(x103281)),a322),f324(f324(f9(f921(x103281),f928(x103281,a916),a916),f324(f324(f10(f928(x103281,a916),f928(f928(x103281,a916),a916),f921(x103281)),f234(f928(x103281,a916))),f172(x103281))),x103282))),f324(f324(f9(f921(x103281),a920,a916),f324(f324(f10(a920,f928(a920,a916),f921(x103281)),a321),f190(f921(x103281)))),x103283))))) % 194.45/194.26 [10329]~P1(f324(f61(x103291),x103292))+P1(f324(f61(f921(x103291)),f324(f262(f921(x103291)),f324(f324(f20(f921(x103291),a916,a916),f324(f324(f10(a916,f928(a916,a916),f921(x103291)),a322),f324(f324(f9(f921(x103291),f928(x103291,a916),a916),f324(f324(f10(f928(x103291,a916),f928(f928(x103291,a916),a916),f921(x103291)),f234(f928(x103291,a916))),f172(x103291))),x103292))),f324(f324(f9(f921(x103291),a920,a916),f324(f324(f10(a920,f928(a920,a916),f921(x103291)),f234(a920)),f190(f921(x103291)))),x103293))))) % 194.45/194.26 [10056]~P121(x100561)+E(f324(f324(f244(x100561),x100562),f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x100563)),f324(f324(f80(x100561),f324(f324(f244(x100561),x100562),x100563)),f324(f324(f244(x100561),x100562),x100563))) % 194.45/194.26 [10088]~P88(x100881)+E(f324(f324(f244(x100881),f324(f324(f244(x100881),x100882),x100883)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f244(x100881),x100882),f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x100883))) % 194.45/194.26 [10133]~P144(x101331)+E(f324(f324(f244(x101331),f324(f78(x101331),x101332)),f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101333)),f324(f324(f244(x101331),x101332),f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101333))) % 194.45/194.26 [10276]~P125(x102761)+P1(f324(f324(f234(x102761),f2(x102761)),f324(f324(f79(x102761),f324(f324(f244(x102761),x102762),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x102761),x102763),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))))) % 194.45/194.26 [10143]~P121(x101431)+E(f324(f324(f244(x101431),x101432),f324(a114,f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101433))),f324(f324(f80(x101431),x101432),f324(f324(f80(x101431),f324(f324(f244(x101431),x101432),x101433)),f324(f324(f244(x101431),x101432),x101433)))) % 194.45/194.26 [10192]~P88(x101921)+E(f324(f324(f80(x101921),x101922),f324(f324(f244(x101921),f324(f324(f244(x101921),x101922),x101923)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x101921),x101922),f324(a114,f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101923)))) % 194.45/194.26 [10230]~P125(x102301)+P1(f324(f324(f234(x102301),f2(x102301)),f324(f324(f244(x102301),x102302),f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x102303)))) % 194.45/194.26 [10306]~P102(x103061)+E(f324(f324(f3(x103061),f324(f324(f79(x103061),f324(f324(f244(x103061),x103062),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x103061),x103063),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f324(f324(f80(x103061),f324(f324(f80(x103061),f324(f105(x103061),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x103062)),x103063)),f324(f324(f244(x103061),f324(f324(f3(x103061),x103062),x103063)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.26 [10307]~P102(x103071)+E(f324(f324(f79(x103071),f324(f324(f79(x103071),f324(f324(f244(x103071),x103072),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x103071),x103073),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f324(f324(f80(x103071),f324(f324(f80(x103071),f324(f105(x103071),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x103072)),x103073)),f324(f324(f244(x103071),f324(f324(f79(x103071),x103072),x103073)),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.26 [4808]E(x48081,x48082)+~E(f30(x48083,x48081),f30(x48084,x48082)) % 194.45/194.26 [4809]E(x48091,x48092)+~E(f30(x48091,x48093),f30(x48092,x48094)) % 194.45/194.26 [4810]E(x48101,x48102)+~E(f29(x48103,x48101),f29(x48104,x48102)) % 194.45/194.26 [4811]E(x48111,x48112)+~E(f29(x48111,x48113),f29(x48112,x48114)) % 194.45/194.26 [5968]P40(f29(x59681,x59683),x59682,x59684,x59682)+P1(f324(x59681,x59682)) % 194.45/194.26 [7095]~P40(x70951,x70952,x70953,x70954)+P40(x70951,x70952,f324(a114,x70953),x70954) % 194.45/194.26 [7922]P22(x79221,x79222,x79223,x79224)+~E(f540(x79224,x79223,x79222,x79221),f546(x79224,x79223,x79222,x79221)) % 194.45/194.26 [8224]P32(x82241,x82242,x82243,x82244,f115(x82242))+~E(x82244,f115(x82241)) % 194.45/194.26 [8225]P32(x82251,x82252,x82253,f115(x82251),x82254)+~E(x82254,f115(x82252)) % 194.45/194.26 [8766]~P32(x87662,x87663,x87664,x87661,f115(x87663))+E(x87661,f115(x87662)) % 194.45/194.26 [8767]~P32(x87673,x87672,x87674,f115(x87673),x87671)+E(x87671,f115(x87672)) % 194.45/194.26 [5190]~P15(x51903,x51901,x51904)+E(f324(f324(x51901,x51902),x51902),x51902) % 194.45/194.26 [5448]P1(f324(x54482,x54484))+E(f324(f136(x54481,x54482),f169(x54481,x54483,x54484)),f115(x54481)) % 194.45/194.26 [5485]~E(x54854,f189(f928(x54851,a916)))+E(f324(f307(x54851,x54852,x54853),x54854),f189(f928(x54852,a916))) % 194.45/194.26 [5726]~P1(f324(x57262,x57264))+E(f324(f136(x57261,x57262),f169(x57261,x57263,x57264)),f169(x57261,x57263,x57264)) % 194.45/194.26 [5756]~E(f324(f307(x57562,x57563,x57564),x57561),f189(f928(x57563,a916)))+E(x57561,f189(f928(x57562,a916))) % 194.45/194.26 [6048]~P112(x60482)+E(f324(f324(f148(x60481,x60482,x60483),x60484),f115(x60481)),f324(f324(f151(x60481),x60484),f115(x60481))) % 194.45/194.26 [6409]~E(x64091,f189(f928(x64092,a916)))+~P1(f324(f62(x64092,x64093,x64091),x64094)) % 194.45/194.26 [6431]~P59(x64311,x64313,x64314,x64312)+P1(f324(f61(x64311),x64312)) % 194.45/194.26 [6433]~P59(x64331,x64333,x64332,x64334)+P1(f324(f61(x64331),x64332)) % 194.45/194.26 [6440]~P59(x64402,x64403,x64404,x64401)+~E(x64401,f189(f928(x64402,a916))) % 194.45/194.26 [6471]~P113(x64711)+E(f324(f324(f103(f928(x64711,a916)),f324(f299(x64711,x64712),x64713)),f300(x64711,x64713,x64714)),f189(f928(x64711,a916))) % 194.45/194.26 [6499]~P1(f324(f324(x64993,x64994),x64992))+P1(f324(f324(f326(x64991),x64992),f290(x64991,x64993,x64994))) % 194.45/194.26 [6500]~P1(f324(f324(x65003,x65004),x65002))+P1(f324(f324(f326(x65001),x65002),f291(x65001,x65003,x65004))) % 194.45/194.26 [6501]~P1(f324(f324(x65013,x65012),x65014))+P1(f324(f324(f326(x65011),x65012),f292(x65011,x65013,x65014))) % 194.45/194.26 [6502]~P1(f324(f324(x65023,x65022),x65024))+P1(f324(f324(f326(x65021),x65022),f295(x65021,x65023,x65024))) % 194.45/194.26 [6644]~P113(x66441)+E(f324(f324(f103(f928(x66441,a916)),f300(x66441,x66442,x66443)),f303(x66441,x66443,x66444)),f189(f928(x66441,a916))) % 194.45/194.26 [6645]~P113(x66451)+E(f324(f324(f103(f928(x66451,a916)),f300(x66451,x66452,x66453)),f302(x66451,x66453,x66454)),f189(f928(x66451,a916))) % 194.45/194.26 [6646]~P113(x66461)+E(f324(f324(f103(f928(x66461,a916)),f303(x66461,x66462,x66463)),f300(x66461,x66463,x66464)),f189(f928(x66461,a916))) % 194.45/194.26 [6647]~P113(x66471)+E(f324(f324(f103(f928(x66471,a916)),f302(x66471,x66472,x66473)),f303(x66471,x66473,x66474)),f189(f928(x66471,a916))) % 194.45/194.26 [6648]~P113(x66481)+E(f324(f324(f103(f928(x66481,a916)),f302(x66481,x66482,x66483)),f302(x66481,x66483,x66484)),f189(f928(x66481,a916))) % 194.45/194.26 [6685]P1(f324(f324(x66851,x66852),f607(x66852,x66851)))+~P1(f324(f249(x66853,x66854,x66851),x66852)) % 194.45/194.26 [6766]~P112(x67662)+E(f324(f172(x67661),f150(x67661,x67662,x67663,x67664)),f324(f172(x67661),x67664)) % 194.45/194.26 [6817]~P114(x68171)+E(f191(x68171,x68172,f324(a114,x68173),x68174),f191(x68171,x68172,x68173,f324(x68172,x68174))) % 194.45/194.26 [6877]~P1(f324(f324(f326(x68774),x68773),f290(x68774,x68771,x68772)))+P1(f324(f324(x68771,x68772),x68773)) % 194.45/194.26 [6878]~P1(f324(f324(f326(x68784),x68783),f291(x68784,x68781,x68782)))+P1(f324(f324(x68781,x68782),x68783)) % 194.45/194.26 [6879]~P1(f324(f324(f326(x68794),x68792),f292(x68794,x68791,x68793)))+P1(f324(f324(x68791,x68792),x68793)) % 194.45/194.26 [6880]~P1(f324(f324(f326(x68804),x68802),f295(x68804,x68801,x68803)))+P1(f324(f324(x68801,x68802),x68803)) % 194.45/194.26 [6955]E(f324(f35(f926(x69551,x69552)),f310(x69551,x69552,x69553,x69554)),f2(a920))+P1(f324(f61(x69552),x69554)) % 194.45/194.26 [6956]E(f324(f35(f926(x69561,x69562)),f310(x69561,x69562,x69563,x69564)),f2(a920))+P1(f324(f61(x69561),x69563)) % 194.45/194.26 [7158]~P12(x71584,x71581,x71582)+E(f324(f72(x71581,x71581,x71581,f324(x71582,x71583)),f324(x71582,x71583)),f324(x71582,x71583)) % 194.45/194.26 [7402]E(f275(x74021,x74022,x74023,x74024),f324(f252(f928(a101,f928(a916,f924(f922(x74021)))),f927(a101,a101)),f41(x74021)))+~P1(f324(f324(f234(a101),x74023),f2(a101))) % 194.45/194.26 [8050]~E(x80502,x80503)+P1(f324(f324(f326(f927(x80501,x80501)),f324(f324(f252(x80501,x80501),x80502),x80503)),f304(x80501,x80504))) % 194.45/194.26 [8079]~P22(x80791,x80792,x80793,f242(f928(x80791,a916)))+E(f324(f76(x80791,x80792,f242(f928(x80791,a916)),x80793),f324(x80793,x80794)),x80794) % 194.45/194.26 [8080]~P22(x80801,x80802,x80803,f242(f928(x80801,a916)))+E(f324(f91(x80801,x80802,f242(f928(x80801,a916)),x80803),f324(x80803,x80804)),x80804) % 194.45/194.26 [8173]~P1(f324(f324(f326(f921(x81731)),f324(f324(f151(x81731),x81734),x81732)),f161(x81731,x81733)))+P1(f324(f324(f326(f921(x81731)),x81732),f161(x81731,x81733))) % 194.45/194.26 [8174]~P1(f324(f324(f326(f921(x81741)),f324(f324(f134(x81741),x81744),x81742)),f161(x81741,x81743)))+P1(f324(f324(f326(f921(x81741)),x81742),f161(x81741,x81743))) % 194.45/194.26 [8175]~P1(f324(f324(f326(f921(x81751)),f324(f324(f134(x81751),x81752),x81754)),f161(x81751,x81753)))+P1(f324(f324(f326(f921(x81751)),x81752),f161(x81751,x81753))) % 194.45/194.26 [8186]~P112(x81861)+P10(x81861,f324(f324(f154(x81862,x81861),x81863),f150(x81862,x81861,x81863,x81864))) % 194.45/194.26 [8288]P22(x82884,x82883,x82881,x82882)+E(f324(x82881,f540(x82882,x82881,x82883,x82884)),f324(x82881,f546(x82882,x82881,x82883,x82884))) % 194.45/194.26 [8395]~P22(x83952,x83951,x83954,x83953)+P22(x83951,x83952,f76(x83952,x83951,x83953,x83954),f324(f307(x83952,x83951,x83954),x83953)) % 194.45/194.26 [8536]P35(f927(x85362,x85364),f278(x85362,x85364,x85361,x85363))+P1(f324(x85361,f602(x85362,x85363,x85364,x85361))) % 194.45/194.26 [8655]E(x86551,x86552)+~P1(f324(f324(f326(f927(x86553,x86553)),f324(f324(f252(x86553,x86553),x86551),x86552)),f263(x86553,x86554))) % 194.45/194.26 [8718]~P1(f324(f61(f926(x87183,x87181)),f310(x87183,x87181,x87184,x87182)))+P1(f324(f61(x87181),x87182)) % 194.45/194.26 [8719]~P1(f324(f61(f926(x87191,x87193)),f310(x87191,x87193,x87192,x87194)))+P1(f324(f61(x87191),x87192)) % 194.45/194.26 [8728]~P22(x87281,x87282,x87283,x87284)+P23(x87281,x87282,x87283,x87284,f324(f307(x87281,x87282,x87283),x87284)) % 194.45/194.26 [8818]~P23(x88182,x88183,x88184,x88181,f189(f928(x88183,a916)))+E(x88181,f189(f928(x88182,a916))) % 194.45/194.26 [8819]~P23(x88193,x88192,x88194,f189(f928(x88193,a916)),x88191)+E(x88191,f189(f928(x88192,a916))) % 194.45/194.26 [8910]P35(f927(x89101,x89102),f278(x89101,x89102,x89103,x89104))+~P35(x89102,f324(x89104,f602(x89101,x89104,x89102,x89103))) % 194.45/194.26 [9492]E(f324(f324(f159(x94921,x94922),f699(x94923,x94924,x94922,x94921)),f700(x94923,x94924,x94922,x94921)),x94924)+~P1(f324(f324(f326(f927(f921(x94921),f921(x94921))),f324(f324(f252(f921(x94921),f921(x94921)),x94922),x94924)),f157(x94921,x94923))) % 194.45/194.26 [9497]~P1(f324(f324(f326(f927(f921(x94971),f921(x94971))),f324(f324(f252(f921(x94971),f921(x94971)),x94972),x94973)),f145(x94971,x94974)))+P1(f324(f324(f326(f927(f921(x94971),f921(x94971))),f324(f324(f252(f921(x94971),f921(x94971)),x94972),x94973)),f147(x94971,x94974))) % 194.45/194.26 [9608]P1(f324(f61(x96081),x96082))+~P1(f324(f324(f326(f927(f928(x96081,a916),f928(x96081,a916))),f324(f324(f252(f928(x96081,a916),f928(x96081,a916)),x96083),x96082)),f316(x96081,x96084))) % 194.45/194.26 [9609]P1(f324(f61(x96091),x96092))+~P1(f324(f324(f326(f927(f928(x96091,a916),f928(x96091,a916))),f324(f324(f252(f928(x96091,a916),f928(x96091,a916)),x96092),x96093)),f316(x96091,x96094))) % 194.45/194.26 [9612]~E(x96121,f189(f928(x96122,a916)))+~P1(f324(f324(f326(f927(f928(x96122,a916),f928(x96122,a916))),f324(f324(f252(f928(x96122,a916),f928(x96122,a916)),x96123),x96121)),f316(x96122,x96124))) % 194.45/194.26 [10241]P8(x102411,x102412,x102413,x102414)+~P1(f324(f324(f257(x102411,x102411,a916),f324(f324(f9(x102411,f928(x102411,x102412),f928(x102411,a916)),f324(f324(f10(f928(x102412,a916),f928(f928(x102411,x102412),f928(x102411,a916)),x102411),f10(x102412,a916,x102411)),f324(f324(f10(x102412,f928(x102412,a916),x102411),a321),x102414))),x102414)),f537(x102414,x102413,x102412,x102411))) % 194.45/194.26 [5091]~E(x50912,f115(x50911))+E(f324(f324(f159(x50911,x50912),x50913),x50914),f115(x50911)) % 194.45/194.26 [5092]~E(x50924,f115(x50921))+E(f324(f324(f154(x50921,x50922),x50923),x50924),f115(x50922)) % 194.45/194.26 [5330]E(x53301,f115(x53302))+~E(f324(f324(f154(x53302,x53303),x53304),x53301),f115(x53303)) % 194.45/194.26 [5331]E(x53311,f115(x53312))+~E(f324(f324(f159(x53312,x53311),x53313),x53314),f115(x53312)) % 194.45/194.26 [5368]E(x53681,x53682)+~E(f324(f324(f134(x53683),x53684),x53681),f324(f324(f134(x53683),x53684),x53682)) % 194.45/194.26 [5369]E(x53691,x53692)+~E(f324(f324(f134(x53693),x53691),x53694),f324(f324(f134(x53693),x53692),x53694)) % 194.45/194.26 [5521]P1(f324(x55213,x55212))+E(f170(x55211,x55212,f324(f136(x55211,x55213),x55214)),f324(f136(x55211,x55213),x55214)) % 194.45/194.26 [5523]~P1(f324(x55232,x55233))+P31(x55231,x55232,f324(f324(f151(x55231),x55233),x55234)) % 194.45/194.26 [5532]E(x55321,x55322)+~E(f139(a920,f324(f299(a920,x55321),x55323)),f324(f324(f151(a920),x55322),x55324)) % 194.45/194.26 [5578]~P24(x55782,x55783)+P24(x55781,f324(f324(f73(x55782,x55781),x55783),x55784)) % 194.45/194.26 [5579]~P35(x55792,x55793)+P35(x55791,f324(f324(f285(x55792,x55791),x55793),x55794)) % 194.45/194.26 [5580]~P36(x55802,x55803)+P36(x55801,f324(f324(f285(x55802,x55801),x55803),x55804)) % 194.45/194.26 [5581]~P52(x55812,x55813)+P52(x55811,f324(f324(f285(x55812,x55811),x55813),x55814)) % 194.45/194.26 [5710]~P31(x57101,x57102,x57104)+P31(x57101,x57102,f324(f324(f151(x57101),x57103),x57104)) % 194.45/194.26 [5711]~P31(x57111,x57112,x57114)+P31(x57111,x57112,f324(f324(f134(x57111),x57113),x57114)) % 194.45/194.26 [5712]~P31(x57121,x57122,x57123)+P31(x57121,x57122,f324(f324(f134(x57121),x57123),x57124)) % 194.45/194.26 [5800]~E(x58001,f115(x58002))+~E(f324(f324(f134(x58002),x58003),f324(f324(f151(x58002),x58004),f115(x58002))),x58001) % 194.45/194.26 [5825]~P29(x58253,x58251,f324(f324(f151(x58253),x58252),x58254))+P1(f324(x58251,x58252)) % 194.45/194.26 [5835]E(f116(x58351,x58352),x58353)+~E(f324(f324(f134(x58351),x58353),f324(f324(f151(x58351),x58354),f115(x58351))),x58352) % 194.45/194.26 [5836]E(f144(x58361,x58362),x58363)+~E(f324(f324(f134(x58361),x58364),f324(f324(f151(x58361),x58363),f115(x58361))),x58362) % 194.45/194.26 [5944]~E(f139(a920,f324(f299(a920,x59441),x59442)),f324(f324(f151(a920),x59443),x59444))+P1(f324(f324(f235(a920),x59441),x59442)) % 194.45/194.26 [5953]P29(x59531,x59532,x59533)+~P29(x59531,x59532,f324(f324(f151(x59531),x59534),x59533)) % 194.45/194.26 [5954]P29(x59541,x59542,x59543)+~P29(x59541,x59542,f324(f324(f134(x59541),x59544),x59543)) % 194.45/194.26 [5955]P29(x59551,x59552,x59553)+~P29(x59551,x59552,f324(f324(f134(x59551),x59553),x59554)) % 194.45/194.26 [6153]E(x61531,f324(f324(f134(x61532),f324(f168(x61532),x61533)),f324(f324(f151(x61532),x61534),f115(x61532))))+~E(f324(f168(x61532),x61531),f324(f324(f151(x61532),x61534),x61533)) % 194.45/194.26 [6330]~P113(x63301)+E(f324(f324(f103(f928(x63301,a916)),f324(f299(x63301,x63302),x63303)),f324(f299(x63301,x63303),x63304)),f189(f928(x63301,a916))) % 194.45/194.26 [6342]E(f324(f324(f164(x63421),f169(x63421,x63422,x63423)),x63424),x63423)+~P1(f324(f324(f235(a920),x63424),x63422)) % 194.45/194.26 [6369]~P77(x63691)+E(f324(f165(x63691),f324(f324(f154(a1,x63691),x63692),f178(x63693,x63694))),f324(f324(f8(a1,x63691),x63692),f324(f172(a1),f178(x63693,x63694)))) % 194.45/194.26 [6370]~P77(x63701)+E(f324(f324(f8(a1,x63701),x63702),f324(f172(a1),f178(x63703,x63704))),f324(f165(x63701),f324(f324(f154(a1,x63701),x63702),f178(x63703,x63704)))) % 194.45/194.26 [6512]~E(x65122,f324(f324(f134(x65121),f324(f168(x65121),x65124)),f324(f324(f151(x65121),x65123),f115(x65121))))+E(f324(f168(x65121),x65122),f324(f324(f151(x65121),x65123),x65124)) % 194.45/194.26 [6530]~P17(x65302,x65303,x65304,x65301)+E(f324(x65301,f189(f928(x65302,a916))),f31(x65303)) % 194.45/194.26 [6557]~P113(x65571)+E(f324(f324(f103(f928(x65571,a916)),f303(x65571,x65572,x65573)),f324(f299(x65571,x65573),x65574)),f189(f928(x65571,a916))) % 194.45/194.26 [6767]E(x67671,f189(f928(x67672,a916)))+~E(f310(x67673,x67672,x67674,x67671),f189(f928(f926(x67673,x67672),a916))) % 194.45/194.26 [6768]E(x67681,f189(f928(x67682,a916)))+~E(f310(x67682,x67683,x67681,x67684),f189(f928(f926(x67682,x67683),a916))) % 194.45/194.26 [6838]~P112(x68382)+E(f324(f190(f921(x68381)),f150(x68381,x68382,x68383,x68384)),f324(f190(f921(x68381)),x68384)) % 194.45/194.26 [6849]~P1(f324(f250(x68493,x68494,x68491),x68492))+P1(f324(f324(x68491,f596(x68492,x68491)),x68492)) % 194.45/194.26 [6888]~P1(f324(f61(x68882),x68884))+P1(f324(f61(x68881),f324(f307(x68882,x68881,x68883),x68884))) % 194.45/194.26 [7119]~P22(x71192,x71191,x71193,x71194)+E(f324(f35(x71191),f324(f307(x71192,x71191,x71193),x71194)),f324(f35(x71192),x71194)) % 194.45/194.26 [7137]E(f324(f307(x71371,x71372,x71373),f324(f308(x71371,x71372,x71373),x71374)),x71374)+~E(f324(f307(x71371,x71372,x71373),f242(f928(x71371,a916))),f242(f928(x71372,a916))) % 194.45/194.26 [7556]~P22(x75561,x75562,x75563,f242(f928(x75561,a916)))+E(f324(f308(x75561,x75562,x75563),f324(f307(x75561,x75562,x75563),x75564)),x75564) % 194.45/194.26 [7840]E(x78401,x78402)+~P1(f324(f324(f326(x78403),x78401),f324(f172(x78403),f169(x78403,x78404,x78402)))) % 194.45/194.26 [7849]~E(x78491,f2(a920))+~P1(f324(f324(f326(x78492),x78493),f324(f172(x78492),f169(x78492,x78491,x78494)))) % 194.45/194.26 [7882]P1(f324(x78821,x78822))+~P1(f324(f324(f326(x78823),x78822),f324(f172(x78823),f177(x78823,x78821,x78824)))) % 194.45/194.26 [7996]~P1(f324(f324(f326(f921(x79961)),f324(f324(f151(x79961),x79962),x79964)),f161(x79961,x79963)))+P1(f324(f324(f326(x79961),x79962),x79963)) % 194.45/194.26 [8129]~P1(f324(f324(f326(x81291),x81292),f324(f172(x81291),f176(x81291,x81293,x81294))))+P1(f324(f324(f326(x81291),x81292),f324(f172(x81291),x81293))) % 194.45/194.26 [8130]~P1(f324(f324(f326(x81301),x81302),f324(f172(x81301),f170(x81301,x81304,x81303))))+P1(f324(f324(f326(x81301),x81302),f324(f172(x81301),x81303))) % 194.45/194.26 [8131]~P1(f324(f324(f326(x81311),x81312),f324(f172(x81311),f177(x81311,x81314,x81313))))+P1(f324(f324(f326(x81311),x81312),f324(f172(x81311),x81313))) % 194.45/194.26 [8141]E(f324(f190(f921(x81411)),x81412),x81413)+~P1(f324(f324(f326(f921(x81411)),x81412),f324(f172(f921(x81411)),f55(x81411,x81413,x81414)))) % 194.45/194.26 [8239]P1(f324(x82393,x82392))+E(f324(f136(x82391,f324(f324(f10(a916,a916,x82391),a319),f324(a321,x82392))),f324(f136(x82391,x82393),x82394)),f324(f136(x82391,x82393),x82394)) % 194.45/194.26 [8347]E(f324(f324(f164(x83471),f177(x83471,x83472,x83473)),x83474),f324(f324(f164(x83471),x83473),x83474))+~P1(f324(f324(f235(a920),x83474),f324(f190(f921(x83471)),f177(x83471,x83472,x83473)))) % 194.45/194.26 [8433]~P77(x84331)+E(f324(f324(f8(a920,x84331),f324(f324(f10(a920,x84331,a920),x84332),a114)),f324(f299(a920,x84333),x84334)),f324(f324(f8(a920,x84331),x84332),f324(f299(a920,f324(a114,x84333)),f324(a114,x84334)))) % 194.45/194.26 [8442]~P77(x84421)+E(f324(f324(f8(a920,x84421),f324(f324(f10(a920,x84421,a920),x84422),a114)),f300(a920,x84423,x84424)),f324(f324(f8(a920,x84421),x84422),f300(a920,f324(a114,x84423),f324(a114,x84424)))) % 194.45/194.26 [8571]~P22(x85711,x85713,x85714,f242(f928(x85711,a916)))+P22(x85711,f928(x85712,x85713),f324(f324(f10(x85713,f928(x85712,x85713),x85711),f18(x85713,x85712)),x85714),f242(f928(x85711,a916))) % 194.45/194.26 [8660]~P22(x86602,x86601,x86604,x86603)+E(f324(f307(x86601,x86602,f76(x86602,x86601,x86603,x86604)),f324(f307(x86602,x86601,x86604),x86603)),x86603) % 194.45/194.26 [8720]~P1(f324(f324(f326(f927(x87201,x87201)),f324(f324(f252(x87201,x87201),x87202),x87204)),f263(x87201,x87203)))+P1(f324(f324(f326(x87201),x87202),x87203)) % 194.45/194.26 [8842]~P22(x88422,x88421,x88423,f242(f928(x88422,a916)))+E(f324(f307(x88421,x88422,f91(x88422,x88421,f242(f928(x88422,a916)),x88423)),f324(f307(x88422,x88421,x88423),x88424)),x88424) % 194.45/194.26 [8916]~P23(x89161,x89162,x89163,x89164,f242(f928(x89162,a916)))+E(f324(f307(x89161,x89162,x89163),f242(f928(x89161,a916))),f242(f928(x89162,a916))) % 194.45/194.26 [8950]~E(f324(f324(f8(x89501,a920),x89504),x89503),f324(a114,x89502))+P1(f324(f324(f326(x89501),f363(x89502,x89503,x89504,x89501)),x89503)) % 194.45/194.26 [8971]~E(f324(f324(f8(x89714,a920),x89711),x89713),f324(a114,x89712))+P1(f324(f324(f235(a920),f2(a920)),f324(x89711,f363(x89712,x89713,x89711,x89714)))) % 194.45/194.26 [8982]~P1(f324(f61(x89822),x89824))+P1(f324(f324(f234(a920),f324(f35(x89821),f324(f307(x89822,x89821,x89823),x89824))),f324(f35(x89822),x89824))) % 194.45/194.26 [8983]E(f324(f324(f252(x89831,x89832),f676(x89833,x89834,x89832,x89831)),f673(x89833,x89834,x89832,x89831)),x89834)+~P1(f324(f324(f326(f927(x89831,x89832)),x89834),f324(f284(x89832,x89831),x89833))) % 194.45/194.26 [8991]P22(x89911,x89912,x89913,x89914)+P1(f324(f324(f326(x89911),f540(x89914,x89913,x89912,x89911)),x89914)) % 194.45/194.26 [8992]P22(x89921,x89922,x89923,x89924)+P1(f324(f324(f326(x89921),f546(x89924,x89923,x89922,x89921)),x89924)) % 194.45/194.26 [9063]P8(x90631,x90632,x90633,x90634)+P1(f324(f324(f326(f927(x90631,x90631)),f537(x90634,x90633,x90632,x90631)),x90633)) % 194.45/194.26 [9117]P1(f324(x91171,x91172))+~P1(f324(x91171,f324(f324(f252(x91173,x91174),f435(x91174,x91173,x91171)),f436(x91174,x91173,x91171)))) % 194.45/194.26 [9133]E(f324(f190(f921(x91331)),x91332),f324(f190(f921(x91331)),x91333))+~P1(f324(f324(f326(f927(f921(x91331),f921(x91331))),f324(f324(f252(f921(x91331),f921(x91331)),x91332),x91333)),f145(x91331,x91334))) % 194.45/194.26 [9134]E(f324(f190(f921(x91341)),x91342),f324(f190(f921(x91341)),x91343))+~P1(f324(f324(f326(f927(f921(x91341),f921(x91341))),f324(f324(f252(f921(x91341),f921(x91341)),x91342),x91343)),f157(x91341,x91344))) % 194.45/194.26 [9137]E(f324(f190(f921(x91371)),x91372),f324(f190(f921(x91371)),x91373))+~P1(f324(f324(f326(f927(f921(x91371),f921(x91371))),f324(f324(f252(f921(x91371),f921(x91371)),x91372),x91373)),f158(x91371,x91374))) % 194.45/194.26 [9210]P1(f324(f324(f234(a920),f155(x92101,x92102,x92103)),f155(x92101,x92104,x92103)))+P1(f324(f324(f326(x92101),f698(x92104,x92102,x92103,x92101)),f324(f172(x92101),x92103))) % 194.45/194.26 [9213]E(f324(f190(f921(x92131)),x92132),f324(f190(f921(x92131)),x92133))+~P1(f324(f324(f326(f927(f921(x92131),f921(x92131))),f324(f324(f252(f921(x92131),f921(x92131)),x92132),x92133)),f304(f921(x92131),f157(x92131,x92134)))) % 194.45/194.26 [9462]~P22(x94621,x94622,x94623,x94624)+~P1(f324(f324(f235(a920),f324(f35(x94622),f324(f307(x94621,x94622,x94623),x94624))),f324(f35(x94621),x94624))) % 194.45/194.26 [9510]~P1(f324(f324(f326(f927(f921(x95101),f921(x95101))),f324(f324(f252(f921(x95101),f921(x95101)),x95102),x95103)),f157(x95101,x95104)))+P1(f324(f324(f326(f927(f921(x95101),f921(x95101))),f324(f324(f252(f921(x95101),f921(x95101)),x95102),x95103)),f158(x95101,f304(x95101,x95104)))) % 194.45/194.26 [9514]~P1(f324(f324(f326(f927(f921(x95141),f921(x95141))),f324(f324(f252(f921(x95141),f921(x95141)),x95142),x95143)),f158(x95141,x95144)))+P1(f324(f324(f326(f927(f921(x95141),f921(x95141))),f324(f324(f252(f921(x95141),f921(x95141)),x95142),x95143)),f304(f921(x95141),f157(x95141,x95144)))) % 194.45/194.26 [9530]P1(f324(f324(f326(f927(x95301,x95301)),f324(f324(f252(x95301,x95301),x95302),x95303)),f304(x95301,x95304)))+~P1(f324(f324(f326(f927(x95301,x95301)),f324(f324(f252(x95301,x95301),x95302),x95303)),f324(f324(f286(x95301,x95301,x95301),x95304),f304(x95301,x95304)))) % 194.45/194.26 [9719]E(f324(f324(f134(x97191),f714(x97192,x97193,x97194,x97191)),f324(f324(f151(x97191),f715(x97192,x97193,x97194,x97191)),f717(x97192,x97193,x97194,x97191))),x97194)+~P1(f324(f324(f326(f927(f921(x97191),f921(x97191))),f324(f324(f252(f921(x97191),f921(x97191)),x97194),x97193)),f157(x97191,x97192))) % 194.45/194.26 [9720]E(f324(f324(f134(x97201),f714(x97202,x97203,x97204,x97201)),f324(f324(f151(x97201),f716(x97202,x97203,x97204,x97201)),f717(x97202,x97203,x97204,x97201))),x97203)+~P1(f324(f324(f326(f927(f921(x97201),f921(x97201))),f324(f324(f252(f921(x97201),f921(x97201)),x97204),x97203)),f157(x97201,x97202))) % 194.45/194.26 [9799]P1(f324(f324(f326(f927(x97991,x97991)),f324(f324(f252(x97991,x97991),x97992),f672(x97993,x97994,x97992,x97991))),f304(x97991,x97993)))+~P1(f324(f324(f326(f927(x97991,x97991)),f324(f324(f252(x97991,x97991),x97992),x97994)),f324(f324(f286(x97991,x97991,x97991),x97993),f304(x97991,x97993)))) % 194.45/194.26 [9868]P1(f324(f324(f234(a920),f155(x98681,x98682,x98683)),f155(x98681,x98684,x98683)))+~P1(f324(f324(f235(a920),f324(x98682,f698(x98684,x98682,x98683,x98681))),f324(x98684,f698(x98684,x98682,x98683,x98681)))) % 194.45/194.26 [9940]P1(f324(f324(f326(f927(x99401,x99401)),f324(f324(f252(x99401,x99401),f667(x99402,x99403,x99404,x99401)),x99403)),f304(x99401,x99402)))+~P1(f324(f324(f326(f927(x99401,x99401)),f324(f324(f252(x99401,x99401),x99404),x99403)),f324(f324(f286(x99401,x99401,x99401),x99402),f304(x99401,x99402)))) % 194.45/194.26 [5350]~E(x53502,x53503)+E(f170(x53501,x53502,f324(f324(f151(x53501),x53503),x53504)),x53504) % 194.45/194.26 [5478]P1(f324(x54782,x54783))+E(f177(x54781,x54782,f324(f324(f151(x54781),x54783),x54784)),f115(x54781)) % 194.45/194.26 [5544]~P91(x55442)+E(f324(f324(f78(f928(x55441,x55442)),x55443),x55444),f324(f78(x55442),f324(x55443,x55444))) % 194.45/194.26 [5555]~E(x55552,f2(a920))+E(f324(f324(f138(x55551),x55552),f324(f324(f151(x55551),x55553),x55554)),f324(f324(f151(x55551),x55553),x55554)) % 194.45/194.26 [5556]P1(f324(x55562,x55563))+E(f324(f136(x55561,x55562),f324(f324(f151(x55561),x55563),x55564)),f324(f136(x55561,x55562),x55564)) % 194.45/194.26 [5693]~E(x56932,x56934)+P1(f324(f324(f324(f306(x56931),x56932),x56933),x56934)) % 194.45/194.26 [5701]E(x57011,f115(x57012))+E(f144(x57013,f324(f324(f154(x57012,x57013),x57014),x57011)),f324(x57014,f144(x57012,x57011))) % 194.45/194.26 [5715]~E(x57151,f63(x57152,x57154))+E(f324(x57151,f324(f324(f306(x57152),x57153),f189(f928(x57152,a916)))),x57153) % 194.45/194.26 [5751]E(x57511,f115(x57512))+E(f324(f141(x57513),f324(f324(f154(x57512,x57513),x57514),x57511)),f324(x57514,f324(f141(x57512),x57511))) % 194.45/194.26 [5855]~P1(f324(x58553,x58554))+P1(f324(f324(f324(f306(x58551),x58552),x58553),x58554)) % 194.45/194.26 [5974]~P16(x59742,x59744,x59741)+E(f324(x59741,f324(f324(f306(x59742),x59743),f189(f928(x59742,a916)))),x59743) % 194.45/194.26 [6002]~E(x60022,x60023)+P1(f324(f324(f326(x60021),x60022),f324(f324(f306(x60021),x60023),x60024))) % 194.45/194.26 [6007]~P63(x60071)+E(f324(f324(f103(x60071),x60072),f324(f324(f103(x60071),x60073),x60074)),f324(f324(f103(x60071),x60073),f324(f324(f103(x60071),x60072),x60074))) % 194.45/194.26 [6008]~P105(x60081)+E(f324(f324(f103(x60081),x60082),f324(f324(f103(x60081),x60083),x60084)),f324(f324(f103(x60081),x60083),f324(f324(f103(x60081),x60082),x60084))) % 194.45/194.26 [6009]~P105(x60091)+E(f324(f324(f112(x60091),x60092),f324(f324(f112(x60091),x60093),x60094)),f324(f324(f112(x60091),x60093),f324(f324(f112(x60091),x60092),x60094))) % 194.45/194.26 [6011]~P107(x60111)+E(f324(f324(f112(x60111),x60112),f324(f324(f112(x60111),x60113),x60114)),f324(f324(f112(x60111),x60113),f324(f324(f112(x60111),x60112),x60114))) % 194.45/194.26 [6013]~P112(x60131)+E(f324(f324(f188(x60131),x60132),f324(f324(f188(x60131),x60133),x60134)),f324(f324(f188(x60131),x60133),f324(f324(f188(x60131),x60132),x60134))) % 194.45/194.26 [6014]~P121(x60141)+E(f324(f324(f80(x60141),x60142),f324(f324(f80(x60141),x60143),x60144)),f324(f324(f80(x60141),x60143),f324(f324(f80(x60141),x60142),x60144))) % 194.45/194.26 [6015]~P121(x60151)+E(f324(f324(f79(x60151),x60152),f324(f324(f79(x60151),x60153),x60154)),f324(f324(f79(x60151),x60153),f324(f324(f79(x60151),x60152),x60154))) % 194.45/194.26 [6017]~P112(x60171)+E(f324(f324(f233(x60171),x60172),f324(f324(f233(x60171),x60173),x60174)),f324(f324(f233(x60171),x60173),f324(f324(f233(x60171),x60172),x60174))) % 194.45/194.26 [6022]E(x60221,x60222)+E(f170(x60223,x60221,f324(f324(f151(x60223),x60222),x60224)),f324(f324(f151(x60223),x60222),f170(x60223,x60221,x60224))) % 194.45/194.26 [6035]~P1(f324(x60352,x60353))+E(f324(f136(x60351,x60352),f324(f324(f151(x60351),x60353),x60354)),f324(f324(f151(x60351),x60353),f324(f136(x60351,x60352),x60354))) % 194.45/194.26 [6173]~P1(f324(x61732,x61733))+E(f177(x61731,x61732,f324(f324(f151(x61731),x61733),x61734)),f324(f324(f151(x61731),x61733),f177(x61731,x61732,x61734))) % 194.45/194.26 [6223]P11(x62231,x62232,x62233)+~P11(x62231,x62232,f324(f324(f306(f919(x62231)),x62234),x62233)) % 194.45/194.26 [6239]E(x62391,f189(f928(x62392,a916)))+E(f324(f324(f39(x62392,f928(x62393,a916)),x62391),f324(f18(f928(x62393,a916),x62392),x62394)),x62394) % 194.45/194.26 [6240]E(x62401,f189(f928(x62402,a916)))+E(f324(f324(f40(x62402,f928(x62403,a916)),x62401),f324(f18(f928(x62403,a916),x62402),x62404)),x62404) % 194.45/194.26 [6249]~E(x62494,f189(f928(x62492,a916)))+E(f324(f324(f254(x62491,x62492),x62493),f324(f18(f928(x62492,a916),x62491),x62494)),f189(f928(f927(x62491,x62492),a916))) % 194.45/194.26 [6250]~E(x62503,f189(f928(x62501,a916)))+E(f324(f324(f254(x62501,x62502),x62503),f324(f18(f928(x62502,a916),x62501),x62504)),f189(f928(f927(x62501,x62502),a916))) % 194.45/194.26 [6301]E(x63011,f2(a920))+E(f324(f324(f138(x63012),x63011),f324(f324(f151(x63012),x63013),x63014)),f324(f324(f138(x63012),f324(f324(f3(a920),x63011),f77(a920))),x63014)) % 194.45/194.26 [6324]E(x63241,f189(f928(x63242,a916)))+E(f324(f307(x63242,x63243,f324(f18(x63243,x63242),x63244)),x63241),f324(f324(f306(x63243),x63244),f189(f928(x63243,a916)))) % 194.45/194.26 [6327]E(f324(f308(x63271,x63272,f324(f18(x63272,x63271),x63273)),x63274),f189(f928(x63271,a916)))+P1(f324(f324(f326(x63272),x63273),x63274)) % 194.45/194.26 [6393]~E(x63933,f189(f928(x63931,a916)))+E(f324(f324(f39(x63931,f928(x63932,a916)),x63933),f324(f18(f928(x63932,a916),x63931),x63934)),f242(f928(x63932,a916))) % 194.45/194.26 [6394]~E(x63943,f189(f928(x63941,a916)))+E(f324(f324(f40(x63941,f928(x63942,a916)),x63943),f324(f18(f928(x63942,a916),x63941),x63944)),f189(f928(x63942,a916))) % 194.45/194.26 [6396]~P67(x63961)+E(f45(x63961,f324(f324(f80(x63961),x63962),x63963),f324(f324(f80(x63961),x63962),x63964)),f324(f324(f80(x63961),x63962),f45(x63961,x63963,x63964))) % 194.45/194.26 [6567]E(f324(f308(x65671,x65672,f324(f18(x65672,x65671),x65673)),x65674),f242(f928(x65671,a916)))+~P1(f324(f324(f326(x65672),x65673),x65674)) % 194.45/194.26 [6591]~P1(f324(f324(f326(x65911),x65912),x65914))+P1(f324(f324(f326(x65911),x65912),f324(f324(f306(x65911),x65913),x65914))) % 194.45/194.26 [6596]P1(f324(x65961,x65962))+~P1(f324(f160(x65963,x65961),f324(f324(f151(x65963),x65962),x65964))) % 194.45/194.26 [6605]~E(x66053,f324(f324(f3(a920),f324(f190(f921(x66051)),x66052)),f77(a920)))+E(f116(x66051,f324(f324(f159(x66051,x66052),x66053),x66054)),f116(x66051,x66052)) % 194.45/194.26 [6623]~P112(x66231)+E(f324(f324(f103(f928(x66231,a916)),f324(f298(x66231),x66232)),f300(x66231,x66233,x66234)),f300(x66231,x66233,f324(f324(f188(x66231),x66232),x66234))) % 194.45/194.26 [6624]~P112(x66241)+E(f324(f324(f103(f928(x66241,a916)),f324(f281(x66241),x66242)),f300(x66241,x66243,x66244)),f300(x66241,f324(f324(f233(x66241),x66242),x66243),x66244)) % 194.45/194.26 [6639]E(f324(f324(f103(f928(x66391,a916)),x66392),f324(f324(f306(x66391),x66393),x66394)),f324(f324(f103(f928(x66391,a916)),x66392),x66394))+P1(f324(f324(f326(x66391),x66393),x66392)) % 194.45/194.26 [6651]E(f170(x66511,x66512,f324(f324(f134(x66511),x66513),x66514)),f324(f324(f134(x66511),x66513),f170(x66511,x66512,x66514)))+P1(f324(f324(f326(x66511),x66512),f324(f172(x66511),x66513))) % 194.45/194.26 [6656]~P88(x66561)+E(f324(f324(f80(x66561),f324(f324(f244(x66561),x66562),x66563)),f324(f324(f244(x66561),x66562),x66564)),f324(f324(f244(x66561),x66562),f324(f324(f79(a920),x66563),x66564))) % 194.45/194.26 [6657]~P121(x66571)+E(f324(f324(f80(x66571),f324(f324(f244(x66571),x66572),x66573)),f324(f324(f244(x66571),x66572),x66574)),f324(f324(f244(x66571),x66572),f324(f324(f79(a920),x66573),x66574))) % 194.45/194.26 [6693]~P106(x66931)+E(f324(f324(f112(x66931),f324(f324(f103(x66931),x66932),x66933)),f324(f324(f103(x66931),x66932),x66934)),f324(f324(f103(x66931),x66932),f324(f324(f112(x66931),x66933),x66934))) % 194.45/194.26 [6694]~P106(x66941)+E(f324(f324(f103(x66941),f324(f324(f112(x66941),x66942),x66943)),f324(f324(f112(x66941),x66942),x66944)),f324(f324(f112(x66941),x66942),f324(f324(f103(x66941),x66943),x66944))) % 194.45/194.26 [6695]~P112(x66951)+E(f324(f324(f233(x66951),f324(f324(f188(x66951),x66952),x66953)),f324(f324(f188(x66951),x66952),x66954)),f324(f324(f188(x66951),x66952),f324(f324(f233(x66951),x66953),x66954))) % 194.45/194.26 [6696]~P121(x66961)+E(f324(f324(f79(x66961),f324(f324(f80(x66961),x66962),x66963)),f324(f324(f80(x66961),x66962),x66964)),f324(f324(f80(x66961),x66962),f324(f324(f79(x66961),x66963),x66964))) % 194.45/194.26 [6697]~P112(x66971)+E(f324(f324(f188(x66971),f324(f324(f233(x66971),x66972),x66973)),f324(f324(f233(x66971),x66972),x66974)),f324(f324(f233(x66971),x66972),f324(f324(f188(x66971),x66973),x66974))) % 194.45/194.26 [6732]~P67(x67321)+E(f45(x67321,f324(f324(f80(x67321),x67322),x67323),f324(f324(f80(x67321),x67324),x67323)),f324(f324(f80(x67321),f45(x67321,x67322,x67324)),x67323)) % 194.45/194.26 [6735]~E(f324(f190(f921(x67351)),x67353),f324(f190(f921(x67352)),x67354))+E(f324(f324(f154(f927(x67351,x67352),x67352),f256(x67351,x67352)),f324(f324(f181(x67351,x67352),x67353),x67354)),x67354) % 194.45/194.26 [6736]~E(f324(f190(f921(x67361)),x67363),f324(f190(f921(x67362)),x67364))+E(f324(f324(f154(f927(x67361,x67362),x67361),f251(x67361,x67362)),f324(f324(f181(x67361,x67362),x67363),x67364)),x67363) % 194.45/194.26 [6741]P1(f324(f160(x67411,x67412),x67413))+~P1(f324(f160(x67411,x67412),f324(f324(f151(x67411),x67414),x67413))) % 194.45/194.26 [6742]P1(f324(f160(x67421,x67422),x67423))+~P1(f324(f160(x67421,x67422),f324(f324(f134(x67421),x67424),x67423))) % 194.45/194.26 [6743]P1(f324(f160(x67431,x67432),x67433))+~P1(f324(f160(x67431,x67432),f324(f324(f134(x67431),x67433),x67434))) % 194.45/194.26 [6748]~P68(x67481)+E(f45(x67481,f324(f324(f3(x67481),x67482),f45(x67481,x67483,x67484)),x67484),f45(x67481,f324(f324(f3(x67481),x67482),x67483),x67484)) % 194.45/194.26 [6749]~P67(x67491)+E(f45(x67491,f324(f324(f80(x67491),x67492),f45(x67491,x67493,x67494)),x67494),f45(x67491,f324(f324(f80(x67491),x67492),x67493),x67494)) % 194.45/194.26 [6751]~P67(x67511)+E(f45(x67511,f324(f324(f79(x67511),x67512),f45(x67511,x67513,x67514)),x67514),f45(x67511,f324(f324(f79(x67511),x67512),x67513),x67514)) % 194.45/194.26 [6830]~P112(x68301)+E(f324(f324(f103(f928(x68301,a916)),f300(x68301,x68302,x68303)),f324(f298(x68301),x68304)),f300(x68301,x68302,f324(f324(f188(x68301),x68303),x68304))) % 194.45/194.26 [6831]~P112(x68311)+E(f324(f324(f103(f928(x68311,a916)),f300(x68311,x68312,x68313)),f324(f281(x68311),x68314)),f300(x68311,f324(f324(f233(x68311),x68312),x68314),x68313)) % 194.45/194.26 [6834]~E(f324(f190(f921(x68341)),x68343),f324(f190(f921(x68342)),x68344))+E(f324(f324(f181(x68341,x68342),f324(f168(x68341),x68343)),f324(f168(x68342),x68344)),f324(f168(f927(x68341,x68342)),f324(f324(f181(x68341,x68342),x68343),x68344))) % 194.45/194.26 [6846]E(x68461,f324(f324(f3(a920),f324(f190(f921(x68462)),x68463)),f77(a920)))+E(f116(x68462,f324(f324(f159(x68462,x68463),x68461),x68464)),f324(f324(f159(x68462,f116(x68462,x68463)),x68461),x68464)) % 194.45/194.26 [6860]~P1(f324(f137(x68602),x68604))+P1(f324(f137(f927(x68601,x68602)),f324(f324(f181(x68601,x68602),x68603),x68604))) % 194.45/194.26 [6861]~P1(f324(f137(x68611),x68613))+P1(f324(f137(f927(x68611,x68612)),f324(f324(f181(x68611,x68612),x68613),x68614))) % 194.45/194.26 [7122]E(f324(f324(f36(a920),x71221),x71222),x71223)+~P1(f324(f48(x71221,x71222),f324(f324(f252(a920,a920),x71223),x71224))) % 194.45/194.26 [7145]E(f45(a920,x71451,x71452),x71453)+~P1(f324(f48(x71451,x71452),f324(f324(f252(a920,a920),x71454),x71453))) % 194.45/194.26 [7148]P1(f324(f137(x71481),x71482))+~P1(f324(f137(x71483),f324(f324(f154(x71481,x71483),x71484),x71482))) % 194.45/194.26 [7156]~P11(x71561,x71562,f324(f324(f306(f919(x71561)),x71563),x71564))+P11(x71561,x71562,f324(f324(f306(f919(x71561)),x71563),f189(f928(f919(x71561),a916)))) % 194.45/194.26 [7232]E(f170(x72321,x72322,f324(f324(f134(x72321),x72323),x72324)),f324(f324(f134(x72321),f170(x72321,x72322,x72323)),x72324))+~P1(f324(f324(f326(x72321),x72322),f324(f172(x72321),x72323))) % 194.45/194.26 [7322]~P68(x73221)+E(f45(x73221,f324(f324(f3(x73221),f45(x73221,x73222,x73223)),x73224),x73223),f45(x73221,f324(f324(f3(x73221),x73222),x73224),x73223)) % 194.45/194.26 [7325]~P67(x73251)+E(f45(x73251,f324(f324(f80(x73251),f45(x73251,x73252,x73253)),x73254),x73253),f45(x73251,f324(f324(f80(x73251),x73252),x73254),x73253)) % 194.45/194.26 [7326]~P67(x73261)+E(f45(x73261,f324(f324(f79(x73261),f45(x73261,x73262,x73263)),x73264),x73263),f45(x73261,f324(f324(f79(x73261),x73262),x73264),x73263)) % 194.45/194.26 [7526]~E(x75261,f324(f324(f151(x75262),x75263),x75264))+~P1(f324(f324(f234(a920),f324(f190(f921(x75262)),x75261)),f324(f190(f921(x75262)),x75264))) % 194.45/194.26 [7733]P22(x77331,x77332,x77333,f324(f172(x77331),x77334))+~P1(f324(f137(x77332),f324(f324(f154(x77331,x77332),x77333),x77334))) % 194.45/194.26 [7806]~P1(f324(f324(f234(f928(x78061,a916)),x78062),x78064))+P1(f324(f324(f234(f928(x78061,a916)),x78062),f324(f324(f306(x78061),x78063),x78064))) % 194.45/194.26 [7841]~P68(x78411)+E(f45(x78411,f324(f324(f3(x78411),f45(x78411,x78412,x78413)),f45(x78411,x78414,x78413)),x78413),f45(x78411,f324(f324(f3(x78411),x78412),x78414),x78413)) % 194.45/194.26 [7842]~P67(x78421)+E(f45(x78421,f324(f324(f80(x78421),f45(x78421,x78422,x78423)),f45(x78421,x78424,x78423)),x78423),f45(x78421,f324(f324(f80(x78421),x78422),x78424),x78423)) % 194.45/194.26 [7843]~P67(x78431)+E(f45(x78431,f324(f324(f79(x78431),f45(x78431,x78432,x78433)),f45(x78431,x78434,x78433)),x78433),f45(x78431,f324(f324(f79(x78431),x78432),x78434),x78433)) % 194.45/194.26 [7945]~E(f324(x79454,f413(x79454,x79453,x79451,x79452)),f189(f928(x79452,a916)))+E(f324(f324(f40(x79451,f928(x79452,a916)),x79453),x79454),f189(f928(x79452,a916))) % 194.45/194.26 [7946]~E(f324(x79464,f414(x79464,x79463,x79461,x79462)),f242(f928(x79462,a916)))+E(f324(f324(f39(x79461,f928(x79462,a916)),x79463),x79464),f242(f928(x79462,a916))) % 194.45/194.26 [7947]~E(f324(x79474,f415(x79474,x79473,x79472,x79471)),f242(f928(x79472,a916)))+E(f324(f324(f39(x79471,f928(x79472,a916)),x79473),x79474),f242(f928(x79472,a916))) % 194.45/194.26 [7948]~E(f324(x79484,f418(x79484,x79483,x79482,x79481)),f189(f928(x79482,a916)))+E(f324(f324(f40(x79481,f928(x79482,a916)),x79483),x79484),f189(f928(x79482,a916))) % 194.45/194.26 [8348]P1(f324(x83481,x83482))+~P1(f324(f324(f326(x83483),x83482),f324(f324(f103(f928(x83483,a916)),x83484),f324(f262(x83483),x83481)))) % 194.45/194.26 [8385]~P1(f324(f324(f234(f928(x83851,a916)),x83853),x83854))+P1(f324(f324(f234(f928(x83851,a916)),f324(f324(f306(x83851),x83852),x83853)),f324(f324(f306(x83851),x83852),x83854))) % 194.45/194.26 [8564]P1(f324(x85642,x85643))+E(f324(f324(f138(x85641),f324(f190(f921(x85641)),f177(x85641,x85642,f324(f324(f151(x85641),x85643),x85644)))),f324(f324(f151(x85641),x85643),x85644)),f324(f324(f151(x85641),x85643),x85644)) % 194.45/194.26 [8674]~P1(f324(f324(f235(a920),f324(x86744,x86742)),f324(x86744,x86743)))+P1(f324(f324(f326(f927(x86741,x86741)),f324(f324(f252(x86741,x86741),x86742),x86743)),f324(f324(f285(a920,x86741),a240),x86744))) % 194.45/194.26 [8770]~P1(f324(x87702,f772(x87704,x87702,x87703,x87701)))+E(f177(x87701,x87702,f324(f324(f134(x87701),x87703),x87704)),f324(f324(f134(x87701),x87703),f177(x87701,x87702,x87704))) % 194.45/194.26 [8846]P22(f921(x88461),f921(x88462),f324(f154(x88461,x88462),x88463),x88464)+~P22(x88461,x88462,x88463,f37(f928(x88461,a916),f324(f307(f921(x88461),f928(x88461,a916),f172(x88461)),x88464))) % 194.45/194.26 [8920]~P1(f324(x89202,x89203))+E(f324(f324(f138(x89201),f324(f190(f921(x89201)),f177(x89201,x89202,f324(f324(f151(x89201),x89203),x89204)))),f324(f324(f151(x89201),x89203),x89204)),f324(f324(f138(x89201),f324(f190(f921(x89201)),f177(x89201,x89202,x89204))),x89204)) % 194.45/194.26 [8962]~E(x89622,x89623)+E(f324(f136(x89621,f324(f324(f10(a916,a916,x89621),a319),f324(a321,x89622))),f324(f324(f151(x89621),x89623),x89624)),f324(f136(x89621,f324(f324(f10(a916,a916,x89621),a319),f324(a321,x89622))),x89624)) % 194.45/194.26 [8972]E(f324(f324(f40(x89721,f928(x89722,a916)),x89723),x89724),f189(f928(x89722,a916)))+P1(f324(f324(f326(x89721),f413(x89724,x89723,x89721,x89722)),x89723)) % 194.45/194.26 [8973]E(f324(f324(f39(x89731,f928(x89732,a916)),x89733),x89734),f242(f928(x89732,a916)))+P1(f324(f324(f326(x89731),f414(x89734,x89733,x89731,x89732)),x89733)) % 194.45/194.26 [8974]E(f324(f324(f39(x89741,f928(x89742,a916)),x89743),x89744),f242(f928(x89742,a916)))+P1(f324(f324(f326(x89741),f415(x89744,x89743,x89742,x89741)),x89743)) % 194.45/194.26 [8975]E(f324(f324(f40(x89751,f928(x89752,a916)),x89753),x89754),f189(f928(x89752,a916)))+P1(f324(f324(f326(x89751),f418(x89754,x89753,x89752,x89751)),x89753)) % 194.45/194.26 [9013]P1(f324(f324(f235(a920),f324(x90131,x90132)),f324(x90131,x90133)))+~P1(f324(f324(f326(f927(x90134,x90134)),f324(f324(f252(x90134,x90134),x90132),x90133)),f324(f324(f285(a920,x90134),a240),x90131))) % 194.45/194.26 [9040]E(f177(x90401,x90402,f324(f324(f134(x90401),x90403),x90404)),f324(f324(f134(x90401),x90403),f177(x90401,x90402,x90404)))+P1(f324(f324(f326(x90401),f772(x90404,x90402,x90403,x90401)),f324(f172(x90401),x90403))) % 194.45/194.26 [9093]~P23(x90931,x90932,x90933,f242(f928(x90931,a916)),f242(f928(x90932,a916)))+E(f324(f307(x90931,x90932,x90933),f324(f78(f928(x90931,a916)),x90934)),f324(f78(f928(x90932,a916)),f324(f307(x90931,x90932,x90933),x90934))) % 194.45/194.26 [9199]P1(f324(f324(f326(x91991),f532(x91992,x91993,x91994,x91991)),x91993))+~P1(f324(f324(f326(f928(x91991,a916)),x91994),f324(f324(f60(x91991),x91993),x91992))) % 194.45/194.26 [9202]E(x92021,x92022)+~P1(f324(f324(f326(f927(x92023,x92023)),f324(f324(f252(x92023,x92023),x92021),x92022)),f324(f324(f183(f927(x92023,x92023),a916),f2(a920)),x92024))) % 194.45/194.26 [9283]E(f324(f283(x92831,x92831,x92832),f324(f324(f306(x92831),f532(x92832,x92833,x92834,x92831)),f189(f928(x92831,a916)))),x92834)+~P1(f324(f324(f326(f928(x92831,a916)),x92834),f324(f324(f60(x92831),x92833),x92832))) % 194.45/194.26 [9294]~P1(f324(f324(f326(f927(x92941,x92941)),f324(f324(f252(x92941,x92941),x92943),x92942)),f304(x92941,x92944)))+P1(f324(f324(f326(f927(x92941,x92941)),f324(f324(f252(x92941,x92941),x92942),x92943)),f304(x92941,f324(f284(x92941,x92941),x92944)))) % 194.45/194.26 [9309]~P67(x93091)+E(f324(f324(f79(x93091),f324(f324(f79(x93091),f324(f324(f80(x93091),x93092),f324(f324(f36(x93091),x93093),x93092))),f45(x93091,x93093,x93092))),x93094),f324(f324(f79(x93091),x93093),x93094)) % 194.45/194.26 [9321]~P1(f324(f324(f326(x93211),x93213),x93214))+P1(f324(f324(f326(f928(x93211,a916)),f324(f283(x93211,x93211,x93212),f324(f324(f306(x93211),x93213),f189(f928(x93211,a916))))),f324(f324(f60(x93211),x93214),x93212))) % 194.45/194.26 [9335]P1(f324(f324(f326(f927(x93351,x93351)),f324(f324(f252(x93351,x93351),x93352),x93353)),f304(x93351,x93354)))+~P1(f324(f324(f326(f927(x93351,x93351)),f324(f324(f252(x93351,x93351),x93353),x93352)),f304(x93351,f324(f284(x93351,x93351),x93354)))) % 194.45/194.26 [9421]E(f324(f324(f159(x94211,f324(f168(x94211),x94212)),f324(f324(f3(a920),f324(f324(f3(a920),f324(f190(f921(x94211)),x94212)),x94213)),f77(a920))),x94214),f324(f168(x94211),f324(f324(f159(x94211,x94212),x94213),x94214)))+~P1(f324(f324(f235(a920),x94213),f324(f190(f921(x94211)),x94212))) % 194.45/194.26 [9425]~P1(f324(x94252,f765(x94254,x94252,x94253,x94251)))+E(f324(f324(f138(x94251),f324(f190(f921(x94251)),f177(x94251,x94252,f324(f324(f134(x94251),x94253),x94254)))),f324(f324(f134(x94251),x94253),x94254)),f324(f324(f138(x94251),f324(f190(f921(x94251)),f177(x94251,x94252,x94254))),x94254)) % 194.45/194.26 [9470]~P22(x94702,x94701,x94703,f242(f928(x94702,a916)))+P1(f324(f324(f234(f928(x94701,a916)),f324(f307(x94702,x94701,x94703),f324(f78(f928(x94702,a916)),x94704))),f324(f78(f928(x94701,a916)),f324(f307(x94702,x94701,x94703),x94704)))) % 194.45/194.26 [9483]~P2(x94831)+E(f324(f142(x94831,x94832,f324(f9(x94832,x94831,x94831),f324(f324(f10(x94831,f928(x94831,x94831),x94832),f103(x94831)),x94833)),f242(x94831)),x94834),f324(f324(f39(x94832,x94831),f324(f172(x94832),x94834)),x94833)) % 194.45/194.26 [9484]~P2(x94841)+E(f324(f142(x94841,x94842,f324(f9(x94842,x94841,x94841),f324(f324(f10(x94841,f928(x94841,x94841),x94842),f112(x94841)),x94843)),f189(x94841)),x94844),f324(f324(f40(x94842,x94841),f324(f172(x94842),x94844)),x94843)) % 194.45/194.26 [9494]E(f324(f324(f138(x94941),f324(f190(f921(x94941)),f177(x94941,x94942,f324(f324(f134(x94941),x94943),x94944)))),f324(f324(f134(x94941),x94943),x94944)),f324(f324(f138(x94941),f324(f190(f921(x94941)),f177(x94941,x94942,x94944))),x94944))+P1(f324(f324(f326(x94941),f765(x94944,x94942,x94943,x94941)),f324(f172(x94941),x94943))) % 194.45/194.26 [9564]~P1(f324(f324(f326(f927(f921(x95644),f921(x95644))),f324(f324(f252(f921(x95644),f921(x95644)),x95643),x95642)),f157(x95644,x95641)))+P1(f324(f324(f235(a920),f699(x95641,x95642,x95643,x95644)),f324(f190(f921(x95644)),x95643))) % 194.45/194.26 [9565]~P67(x95651)+E(f324(f324(f79(x95651),f324(f324(f79(x95651),f324(f324(f80(x95651),f324(f324(f36(x95651),x95652),x95653)),x95653)),f45(x95651,x95652,x95653))),x95654),f324(f324(f79(x95651),x95652),x95654)) % 194.45/194.26 [9594]~P1(f324(f324(f326(f927(f921(x95941),f921(x95941))),f324(f324(f252(f921(x95941),f921(x95941)),x95942),x95943)),f324(f284(f921(x95941),f921(x95941)),f157(x95941,x95944))))+P1(f324(f324(f326(f927(f921(x95941),f921(x95941))),f324(f324(f252(f921(x95941),f921(x95941)),x95942),x95943)),f157(x95941,f324(f284(x95941,x95941),x95944)))) % 194.45/194.26 [9595]P1(f324(f324(f326(f927(f921(x95951),f921(x95951))),f324(f324(f252(f921(x95951),f921(x95951)),x95952),x95953)),f324(f284(f921(x95951),f921(x95951)),f157(x95951,x95954))))+~P1(f324(f324(f326(f927(f921(x95951),f921(x95951))),f324(f324(f252(f921(x95951),f921(x95951)),x95952),x95953)),f157(x95951,f324(f284(x95951,x95951),x95954)))) % 194.45/194.26 [9635]~P1(f324(f324(f326(x96351),x96353),f324(f264(x96351,x96352),x96354)))+P1(f324(f324(f326(f927(x96351,x96352)),f324(f324(f252(x96351,x96352),x96353),f603(x96354,x96352,x96353,x96351))),x96354)) % 194.45/194.26 [9636]~P1(f324(f324(f326(x96361),x96363),f324(f264(x96361,x96362),x96364)))+P1(f324(f324(f326(f927(x96361,x96362)),f324(f324(f252(x96361,x96362),x96363),f605(x96364,x96362,x96363,x96361))),x96364)) % 194.45/194.26 [9794]~P1(f324(f324(f326(f927(x97941,x97941)),f324(f324(f252(x97941,x97941),x97942),x97944)),f324(f324(f286(x97941,x97941,x97941),x97943),f304(x97941,x97943))))+P1(f324(f324(f326(f927(x97941,x97941)),f324(f324(f252(x97941,x97941),x97942),f667(x97943,x97944,x97942,x97941))),x97943)) % 194.45/194.26 [9963]~P1(f324(f324(f326(f927(x99632,x99631)),x99634),f324(f284(x99631,x99632),x99633)))+P1(f324(f324(f326(f927(x99631,x99632)),f324(f324(f252(x99631,x99632),f673(x99633,x99634,x99631,x99632)),f676(x99633,x99634,x99631,x99632))),x99633)) % 194.45/194.26 [9988]~P1(f324(f324(f326(f927(f921(x99881),f921(x99881))),f324(f324(f252(f921(x99881),f921(x99881)),x99884),x99883)),f157(x99881,x99882)))+P1(f324(f324(f326(f927(x99881,x99881)),f324(f324(f252(x99881,x99881),f715(x99882,x99883,x99884,x99881)),f716(x99882,x99883,x99884,x99881))),x99882)) % 194.45/194.26 [10077]~P1(f324(f324(f326(f927(f921(x100771),f921(x100771))),f324(f324(f252(f921(x100771),f921(x100771)),x100772),x100774)),f157(x100771,x100773)))+P1(f324(f324(f326(f927(x100771,x100771)),f324(f324(f252(x100771,x100771),f324(f324(f164(x100771),x100772),f699(x100773,x100774,x100772,x100771))),f700(x100773,x100774,x100772,x100771))),x100773)) % 194.45/194.26 [10099]~P1(f324(f61(x100992),x100994))+E(f324(f324(f324(f65(f928(x100991,a916),x100992,f112(f928(x100991,a916))),f324(f324(f9(x100992,f928(x100991,a916),f928(x100991,a916)),f324(f324(f10(x100991,f928(f928(x100991,a916),f928(x100991,a916)),x100992),f306(x100991)),x100993)),f189(f928(x100991,a916)))),f189(f928(x100991,a916))),x100994),f324(f307(x100992,x100991,x100993),x100994)) % 194.45/194.26 [10193]~P22(x101931,x101932,x101933,f242(f928(x101931,a916)))+P1(f324(f324(f234(f928(x101931,a916)),f324(f308(x101931,x101932,x101933),f324(f324(f306(x101932),x101934),f189(f928(x101932,a916))))),f324(f324(f306(x101931),f84(x101931,f324(f324(f9(x101931,x101932,a916),f324(f324(f10(x101932,f928(x101932,a916),x101931),a321),x101933)),x101934))),f189(f928(x101931,a916))))) % 194.45/194.26 [5762]~E(f324(f324(f134(x57621),x57622),x57624),x57623)+E(f324(f324(f175(x57621),f324(f190(f921(x57621)),x57622)),x57623),x57622) % 194.45/194.26 [5763]~E(f324(f324(f134(x57632),x57633),x57631),x57634)+E(x57631,f324(f324(f138(x57632),f324(f190(f921(x57632)),x57633)),x57634)) % 194.45/194.26 [5774]~E(x57744,f2(a920))+E(f324(f324(f164(x57741),f324(f324(f151(x57741),x57742),x57743)),x57744),x57742) % 194.45/194.26 [6314]~P121(x63141)+E(f324(f324(f244(x63141),f324(f324(f244(x63141),x63142),x63143)),x63144),f324(f324(f244(x63141),x63142),f324(f324(f80(a920),x63143),x63144))) % 194.45/194.26 [6315]~P88(x63151)+E(f324(f324(f244(x63151),f324(f324(f244(x63151),x63152),x63153)),x63154),f324(f324(f244(x63151),x63152),f324(f324(f80(a920),x63153),x63154))) % 194.45/194.26 [6325]E(x63251,f2(a920))+E(f324(f324(f164(x63252),f324(f324(f151(x63252),x63253),x63254)),x63251),f324(f324(f164(x63252),x63254),f324(f324(f3(a920),x63251),f77(a920)))) % 194.45/194.26 [6352]~P122(x63521)+E(f324(f324(f287(x63521),f324(f324(f80(x63521),x63522),x63523)),x63524),f324(f324(f80(x63521),x63522),f324(f324(f287(x63521),x63523),x63524))) % 194.45/194.26 [6355]~P63(x63551)+E(f324(f324(f103(x63551),f324(f324(f103(x63551),x63552),x63553)),x63554),f324(f324(f103(x63551),x63552),f324(f324(f103(x63551),x63553),x63554))) % 194.45/194.26 [6356]~P105(x63561)+E(f324(f324(f103(x63561),f324(f324(f103(x63561),x63562),x63563)),x63564),f324(f324(f103(x63561),x63562),f324(f324(f103(x63561),x63563),x63564))) % 194.45/194.26 [6357]~P105(x63571)+E(f324(f324(f112(x63571),f324(f324(f112(x63571),x63572),x63573)),x63574),f324(f324(f112(x63571),x63572),f324(f324(f112(x63571),x63573),x63574))) % 194.45/194.26 [6359]~P107(x63591)+E(f324(f324(f112(x63591),f324(f324(f112(x63591),x63592),x63593)),x63594),f324(f324(f112(x63591),x63592),f324(f324(f112(x63591),x63593),x63594))) % 194.45/194.26 [6361]~P112(x63611)+E(f324(f324(f188(x63611),f324(f324(f188(x63611),x63612),x63613)),x63614),f324(f324(f188(x63611),x63612),f324(f324(f188(x63611),x63613),x63614))) % 194.45/194.26 [6362]~P75(x63621)+E(f324(f324(f80(x63621),f324(f324(f80(x63621),x63622),x63623)),x63624),f324(f324(f80(x63621),x63622),f324(f324(f80(x63621),x63623),x63624))) % 194.45/194.26 [6363]~P121(x63631)+E(f324(f324(f80(x63631),f324(f324(f80(x63631),x63632),x63633)),x63634),f324(f324(f80(x63631),x63632),f324(f324(f80(x63631),x63633),x63634))) % 194.45/194.26 [6365]~P76(x63651)+E(f324(f324(f79(x63651),f324(f324(f79(x63651),x63652),x63653)),x63654),f324(f324(f79(x63651),x63652),f324(f324(f79(x63651),x63653),x63654))) % 194.45/194.26 [6366]~P121(x63661)+E(f324(f324(f79(x63661),f324(f324(f79(x63661),x63662),x63663)),x63664),f324(f324(f79(x63661),x63662),f324(f324(f79(x63661),x63663),x63664))) % 194.45/194.26 [6368]~P112(x63681)+E(f324(f324(f233(x63681),f324(f324(f233(x63681),x63682),x63683)),x63684),f324(f324(f233(x63681),x63682),f324(f324(f233(x63681),x63683),x63684))) % 194.45/194.26 [6377]~P67(x63771)+E(f45(x63771,f324(f324(f79(x63771),x63772),f324(f324(f80(x63771),x63773),x63774)),x63774),f45(x63771,x63772,x63774)) % 194.45/194.26 [6378]~P67(x63781)+E(f45(x63781,f324(f324(f79(x63781),x63782),f324(f324(f80(x63781),x63783),x63784)),x63783),f45(x63781,x63782,x63783)) % 194.45/194.26 [6513]E(f324(f324(f164(x65131),f324(f324(f175(x65131),x65132),x65133)),x65134),f324(f324(f164(x65131),x65133),x65134))+~P1(f324(f324(f235(a920),x65134),x65132)) % 194.45/194.26 [6689]~E(x66892,x66894)+P1(f324(f324(f172(x66891),f324(f324(f151(x66891),x66892),x66893)),x66894)) % 194.45/194.26 [6691]~P121(x66911)+E(f324(f324(f80(x66911),f324(f324(f80(x66911),x66912),x66913)),x66914),f324(f324(f80(x66911),f324(f324(f80(x66911),x66912),x66914)),x66913)) % 194.45/194.26 [6692]~P121(x66921)+E(f324(f324(f79(x66921),f324(f324(f79(x66921),x66922),x66923)),x66924),f324(f324(f79(x66921),f324(f324(f79(x66921),x66922),x66924)),x66923)) % 194.45/194.26 [6754]~P114(x67542)+E(f324(f324(f8(x67541,x67542),f324(f18(x67542,x67541),x67543)),x67544),f324(f324(f80(x67542),f324(f102(x67542),f324(f35(x67541),x67544))),x67543)) % 194.45/194.26 [6921]E(f324(f324(f103(f928(x69211,a916)),f324(f324(f306(x69211),x69212),x69213)),x69214),f324(f324(f103(f928(x69211,a916)),x69213),x69214))+P1(f324(f324(f326(x69211),x69212),x69214)) % 194.45/194.26 [6990]~P86(x69901)+E(f324(f324(f188(x69901),f324(f324(f3(x69901),x69902),x69903)),f324(f324(f3(x69901),x69904),x69903)),f324(f324(f3(x69901),f324(f324(f188(x69901),x69902),x69904)),x69903)) % 194.45/194.26 [6991]~P86(x69911)+E(f324(f324(f233(x69911),f324(f324(f3(x69911),x69912),x69913)),f324(f324(f3(x69911),x69914),x69913)),f324(f324(f3(x69911),f324(f324(f233(x69911),x69912),x69914)),x69913)) % 194.45/194.26 [6992]~P106(x69921)+E(f324(f324(f112(x69921),f324(f324(f103(x69921),x69922),x69923)),f324(f324(f103(x69921),x69924),x69923)),f324(f324(f103(x69921),f324(f324(f112(x69921),x69922),x69924)),x69923)) % 194.45/194.26 [6993]~P106(x69931)+E(f324(f324(f103(x69931),f324(f324(f112(x69931),x69932),x69933)),f324(f324(f112(x69931),x69934),x69933)),f324(f324(f112(x69931),f324(f324(f103(x69931),x69932),x69934)),x69933)) % 194.45/194.26 [6994]~P112(x69941)+E(f324(f324(f233(x69941),f324(f324(f188(x69941),x69942),x69943)),f324(f324(f188(x69941),x69944),x69943)),f324(f324(f188(x69941),f324(f324(f233(x69941),x69942),x69944)),x69943)) % 194.45/194.26 [6995]~P117(x69951)+E(f324(f324(f79(x69951),f324(f324(f80(x69951),x69952),x69953)),f324(f324(f80(x69951),x69954),x69953)),f324(f324(f80(x69951),f324(f324(f79(x69951),x69952),x69954)),x69953)) % 194.45/194.26 [6997]~P93(x69971)+E(f324(f324(f188(x69971),f324(f324(f79(x69971),x69972),x69973)),f324(f324(f79(x69971),x69974),x69973)),f324(f324(f79(x69971),f324(f324(f188(x69971),x69972),x69974)),x69973)) % 194.45/194.26 [6998]~P93(x69981)+E(f324(f324(f233(x69981),f324(f324(f79(x69981),x69982),x69983)),f324(f324(f79(x69981),x69984),x69983)),f324(f324(f79(x69981),f324(f324(f233(x69981),x69982),x69984)),x69983)) % 194.45/194.26 [6999]~P121(x69991)+E(f324(f324(f80(x69991),f324(f324(f244(x69991),x69992),x69993)),f324(f324(f244(x69991),x69994),x69993)),f324(f324(f244(x69991),f324(f324(f80(x69991),x69992),x69994)),x69993)) % 194.45/194.26 [7000]~P81(x70001)+E(f324(f324(f80(x70001),f324(f324(f244(x70001),x70002),x70003)),f324(f324(f244(x70001),x70004),x70003)),f324(f324(f244(x70001),f324(f324(f80(x70001),x70002),x70004)),x70003)) % 194.45/194.26 [7001]~P70(x70011)+E(f324(f324(f287(x70011),f324(f324(f244(x70011),x70012),x70013)),f324(f324(f244(x70011),x70014),x70013)),f324(f324(f244(x70011),f324(f324(f287(x70011),x70012),x70014)),x70013)) % 194.45/194.26 [7002]~P122(x70021)+E(f324(f324(f3(x70021),f324(f324(f287(x70021),x70022),x70023)),f324(f324(f287(x70021),x70024),x70023)),f324(f324(f287(x70021),f324(f324(f3(x70021),x70022),x70024)),x70023)) % 194.45/194.26 [7003]~P122(x70031)+E(f324(f324(f79(x70031),f324(f324(f287(x70031),x70032),x70033)),f324(f324(f287(x70031),x70034),x70033)),f324(f324(f287(x70031),f324(f324(f79(x70031),x70032),x70034)),x70033)) % 194.45/194.26 [7004]~P112(x70041)+E(f324(f324(f188(x70041),f324(f324(f233(x70041),x70042),x70043)),f324(f324(f233(x70041),x70044),x70043)),f324(f324(f233(x70041),f324(f324(f188(x70041),x70042),x70044)),x70043)) % 194.45/194.26 [7005]~P121(x70051)+E(f324(f324(f79(x70051),f324(f324(f80(x70051),x70052),x70053)),f324(f324(f80(x70051),x70054),x70053)),f324(f324(f80(x70051),f324(f324(f79(x70051),x70052),x70054)),x70053)) % 194.45/194.26 [7037]E(f324(f324(f159(x70371,x70372),x70373),x70374),x70372)+~P1(f324(f324(f234(a920),f324(f190(f921(x70371)),x70372)),x70373)) % 194.45/194.26 [7063]~P1(f324(x70633,x70634))+P1(f324(f324(f324(f112(f928(x70631,a916)),x70632),x70633),x70634)) % 194.45/194.26 [7065]~P1(f324(x70652,x70654))+P1(f324(f324(f324(f112(f928(x70651,a916)),x70652),x70653),x70654)) % 194.45/194.26 [7083]E(f324(f324(f164(x70831),f324(f324(f134(x70831),x70832),x70833)),x70834),f324(f324(f164(x70831),x70832),x70834))+~P1(f324(f324(f235(a920),x70834),f324(f190(f921(x70831)),x70832))) % 194.45/194.26 [7093]E(f324(f324(f3(f928(x70931,a916)),f324(f324(f306(x70931),x70932),x70933)),x70934),f324(f324(f3(f928(x70931,a916)),x70933),x70934))+~P1(f324(f324(f326(x70931),x70932),x70934)) % 194.45/194.26 [7135]~E(f139(a920,f324(f299(a920,x71351),x71352)),f324(f324(f151(a920),x71354),x71353))+E(f139(a920,f324(f299(a920,f324(f324(f79(a920),x71351),f77(a920))),x71352)),x71353) % 194.45/194.26 [7157]~P1(f324(f324(f172(x71571),x71573),x71574))+P1(f324(f324(f172(x71571),f324(f324(f151(x71571),x71572),x71573)),x71574)) % 194.45/194.26 [7206]E(x72061,f2(a920))+E(f324(f324(f151(x72062),x72063),f324(f324(f175(x72062),f324(f324(f3(a920),x72061),f77(a920))),x72064)),f324(f324(f175(x72062),x72061),f324(f324(f151(x72062),x72063),x72064))) % 194.45/194.26 [7306]E(f324(f324(f164(x73061),x73062),f324(f324(f3(a920),x73063),f324(f190(f921(x73061)),x73064))),f324(f324(f164(x73061),f324(f324(f134(x73061),x73064),x73062)),x73063))+P1(f324(f324(f235(a920),x73063),f324(f190(f921(x73061)),x73064))) % 194.45/194.26 [7336]E(f324(f324(f103(f928(x73361,a916)),x73362),f324(f324(f306(x73361),x73363),x73364)),f324(f324(f306(x73361),x73363),f324(f324(f103(f928(x73361,a916)),x73362),x73364)))+~P1(f324(f324(f326(x73361),x73363),x73362)) % 194.45/194.26 [7375]E(f324(f324(f164(x73751),f324(f324(f159(x73751,x73752),x73753),x73754)),x73753),x73754)+~P1(f324(f324(f235(a920),x73753),f324(f190(f921(x73751)),x73752))) % 194.45/194.26 [7397]E(x73971,f189(f928(x73972,a916)))+E(f324(f307(f927(x73973,x73972),x73973,f251(x73973,x73972)),f324(f324(f254(x73973,x73972),x73974),f324(f18(f928(x73972,a916),x73973),x73971))),x73974) % 194.45/194.26 [7398]E(x73981,f189(f928(x73982,a916)))+E(f324(f307(f927(x73982,x73983),x73983,f256(x73982,x73983)),f324(f324(f254(x73982,x73983),x73981),f324(f18(f928(x73983,a916),x73982),x73984))),x73984) % 194.45/194.26 [7476]E(f324(f324(f3(f928(x74761,a916)),f324(f324(f306(x74761),x74762),x74763)),x74764),f324(f324(f306(x74761),x74762),f324(f324(f3(f928(x74761,a916)),x74763),x74764)))+P1(f324(f324(f326(x74761),x74762),x74764)) % 194.45/194.26 [7511]~E(x75114,f189(f928(x75112,a916)))+E(f324(f307(f927(x75111,x75112),x75111,f251(x75111,x75112)),f324(f324(f254(x75111,x75112),x75113),f324(f18(f928(x75112,a916),x75111),x75114))),f189(f928(x75111,a916))) % 194.45/194.26 [7512]~E(x75123,f189(f928(x75121,a916)))+E(f324(f307(f927(x75121,x75122),x75122,f256(x75121,x75122)),f324(f324(f254(x75121,x75122),x75123),f324(f18(f928(x75122,a916),x75121),x75124))),f189(f928(x75122,a916))) % 194.45/194.26 [7568]~P1(f324(f324(f326(x75681),x75682),x75684))+P1(f324(f324(f326(x75681),x75682),f324(f324(f112(f928(x75681,a916)),x75683),x75684))) % 194.45/194.26 [7571]~P1(f324(f324(f326(x75711),x75712),x75713))+P1(f324(f324(f326(x75711),x75712),f324(f324(f112(f928(x75711,a916)),x75713),x75714))) % 194.45/194.26 [7592]E(f324(f324(f103(f928(x75921,a916)),f324(f324(f306(x75921),x75922),x75923)),x75924),f324(f324(f306(x75921),x75922),f324(f324(f103(f928(x75921,a916)),x75923),x75924)))+~P1(f324(f324(f326(x75921),x75922),x75924)) % 194.45/194.26 [7863]P1(f324(x78631,x78632))+~P1(f324(f324(f324(f103(f928(x78633,a916)),x78634),x78631),x78632)) % 194.45/194.26 [7864]P1(f324(x78641,x78642))+~P1(f324(f324(f324(f103(f928(x78643,a916)),x78641),x78644),x78642)) % 194.45/194.26 [7865]E(f324(f324(f8(x78651,a920),x78652),f324(f324(f3(f928(x78651,a916)),x78653),f324(f324(f306(x78651),x78654),f189(f928(x78651,a916))))),f324(f324(f8(x78651,a920),x78652),x78653))+P1(f324(f324(f326(x78651),x78654),x78653)) % 194.45/194.26 [7870]~P77(x78701)+E(f324(f165(x78701),f324(f324(f154(a920,x78701),x78702),f139(a920,f324(f299(a920,x78703),x78704)))),f324(f324(f8(a920,x78701),x78702),f324(f172(a920),f139(a920,f324(f299(a920,x78703),x78704))))) % 194.45/194.26 [7871]~P77(x78711)+E(f324(f324(f8(a920,x78711),x78712),f324(f172(a920),f139(a920,f324(f299(a920,x78713),x78714)))),f324(f165(x78711),f324(f324(f154(a920,x78711),x78712),f139(a920,f324(f299(a920,x78713),x78714))))) % 194.45/194.26 [7989]~E(x79893,x79894)+P1(f324(f62(x79891,x79892,f324(f324(f306(x79891),x79893),f189(f928(x79891,a916)))),x79894)) % 194.45/194.26 [8086]P1(f324(f324(f326(x80861),x80862),f324(f172(x80861),x80863)))+~P1(f324(f324(f326(x80861),x80862),f324(f172(x80861),f324(f324(f175(x80861),x80864),x80863)))) % 194.45/194.26 [8087]P1(f324(f324(f326(x80871),x80872),f324(f172(x80871),x80873)))+~P1(f324(f324(f326(x80871),x80872),f324(f172(x80871),f324(f324(f138(x80871),x80874),x80873)))) % 194.45/194.26 [8163]P1(f324(f324(f326(x81631),x81632),x81633))+~P1(f324(f324(f326(x81631),x81632),f324(f324(f3(f928(x81631,a916)),x81633),x81634))) % 194.45/194.26 [8165]P1(f324(f324(f326(x81651),x81652),x81653))+~P1(f324(f324(f326(x81651),x81652),f324(f324(f103(f928(x81651,a916)),x81654),x81653))) % 194.45/194.26 [8168]P1(f324(f324(f326(x81681),x81682),x81683))+~P1(f324(f324(f326(x81681),x81682),f324(f324(f103(f928(x81681,a916)),x81683),x81684))) % 194.45/194.26 [8183]E(f324(f324(f134(x81831),f324(f324(f175(x81831),x81832),x81833)),f324(f324(f151(x81831),x81834),f324(f324(f138(x81831),f324(a114,x81832)),x81833))),f324(f324(f159(x81831,x81833),x81832),x81834))+~P1(f324(f324(f235(a920),x81832),f324(f190(f921(x81831)),x81833))) % 194.45/194.26 [8206]P1(f324(f324(f326(x82061),x82062),x82063))+~P1(f324(f324(f234(f928(x82061,a916)),f324(f324(f306(x82061),x82062),x82064)),x82063)) % 194.45/194.26 [8244]~P1(f324(f324(f326(x82441),x82442),x82443))+~P1(f324(f324(f326(x82441),x82442),f324(f324(f3(f928(x82441,a916)),x82444),x82443))) % 194.45/194.26 [8276]~P1(f324(f324(f235(a920),x82764),f324(f190(f921(x82761)),x82763)))+P1(f324(f324(f326(x82761),x82762),f324(f172(x82761),f324(f324(f159(x82761,x82763),x82764),x82762)))) % 194.45/194.27 [8327]E(f324(f324(f164(x83271),f324(f324(f138(x83271),x83272),x83273)),x83274),f324(f324(f164(x83271),x83273),f324(f324(f79(a920),x83272),x83274)))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),x83272),x83274)),f324(f190(f921(x83271)),x83273))) % 194.45/194.27 [8336]~P114(x83362)+E(f324(f324(f8(x83361,x83362),f324(f324(f10(a920,x83362,x83361),f102(x83362)),x83363)),x83364),f324(f102(x83362),f324(f324(f8(x83361,a920),x83363),x83364))) % 194.45/194.27 [8337]~P144(x83372)+E(f324(f324(f8(x83371,x83372),f324(f324(f10(a1,x83372,x83371),f104(x83372)),x83373)),x83374),f324(f104(x83372),f324(f324(f8(x83371,a1),x83373),x83374))) % 194.45/194.27 [8387]~P73(x83872)+E(f324(f324(f11(x83871,x83872),f324(f324(f10(x83872,x83872,x83871),f75(x83872)),x83873)),x83874),f324(f75(x83872),f324(f324(f11(x83871,x83872),x83873),x83874))) % 194.45/194.27 [8388]~P65(x83882)+E(f324(f324(f8(x83881,x83882),f324(f324(f10(x83882,x83882,x83881),f78(x83882)),x83883)),x83884),f324(f78(x83882),f324(f324(f8(x83881,x83882),x83883),x83884))) % 194.45/194.27 [8390]E(f324(f324(f8(x83901,a920),x83902),f324(f324(f3(f928(x83901,a916)),x83903),f324(f324(f306(x83901),x83904),f189(f928(x83901,a916))))),f324(f324(f3(a920),f324(f324(f8(x83901,a920),x83902),x83903)),f324(x83902,x83904)))+~P1(f324(f324(f326(x83901),x83904),x83903)) % 194.45/194.27 [8409]P1(f324(f324(f234(f928(x84091,a916)),x84092),x84093))+~P1(f324(f324(f234(f928(x84091,a916)),f324(f324(f306(x84091),x84094),x84092)),x84093)) % 194.45/194.27 [8534]~E(f324(f307(x85342,x85343,x85341),f242(f928(x85342,a916))),f242(f928(x85343,a916)))+E(f324(x85341,f324(f91(x85342,x85343,f242(f928(x85342,a916)),x85341),x85344)),x85344) % 194.45/194.27 [8618]P35(x86181,x86182)+~P35(x86181,f324(f324(f306(f927(x86181,x86181)),f324(f324(f252(x86181,x86181),x86183),x86184)),x86182)) % 194.45/194.27 [8619]P58(x86191,x86192)+~P58(x86191,f324(f324(f306(f927(x86191,x86191)),f324(f324(f252(x86191,x86191),x86193),x86194)),x86192)) % 194.45/194.27 [8624]~P112(x86241)+E(f324(f324(f148(x86241,x86241,f7(x86241)),x86242),f324(f324(f148(x86241,x86241,f7(x86241)),x86243),x86244)),f324(f324(f148(x86241,x86241,f7(x86241)),x86243),f324(f324(f148(x86241,x86241,f7(x86241)),x86242),x86244))) % 194.45/194.27 [8639]E(x86391,x86392)+~P1(f324(f62(x86393,x86394,f324(f324(f306(x86393),x86391),f189(f928(x86393,a916)))),x86392)) % 194.45/194.27 [8651]E(f324(f324(f134(x86511),f324(f324(f175(x86511),x86512),x86513)),f324(f324(f175(x86511),x86514),f324(f324(f138(x86511),x86512),x86513))),f324(f324(f175(x86511),f324(f324(f79(a920),x86512),x86514)),x86513))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),x86512),x86514)),f324(f190(f921(x86511)),x86513))) % 194.45/194.27 [8690]P1(f324(f61(x86901),x86902))+~E(x86902,f324(f307(a920,x86901,x86903),f324(f262(a920),f324(f324(f9(a920,a920,a916),f235(a920)),x86904)))) % 194.45/194.27 [8710]~P98(x87101)+E(f324(f142(x87101,x87101,f79(x87101),f324(f324(f79(x87101),x87102),x87103)),x87104),f324(f324(f79(x87101),x87102),f324(f142(x87101,x87101,f79(x87101),x87103),x87104))) % 194.45/194.27 [8746]P1(f324(f324(f234(f928(x87461,a916)),f324(f264(x87461,x87462),x87463)),f324(f264(x87461,x87462),x87464)))+~P1(f324(f324(f234(f928(f927(x87461,x87462),a916)),x87463),x87464)) % 194.45/194.27 [8758]~P1(f324(f324(f234(a920),x87582),x87584))+P1(f324(f324(f234(f928(x87581,a916)),f324(f172(x87581),f324(f324(f175(x87581),x87582),x87583))),f324(f172(x87581),f324(f324(f175(x87581),x87584),x87583)))) % 194.45/194.27 [8759]~P1(f324(f324(f234(a920),x87594),x87592))+P1(f324(f324(f234(f928(x87591,a916)),f324(f172(x87591),f324(f324(f138(x87591),x87592),x87593))),f324(f172(x87591),f324(f324(f138(x87591),x87594),x87593)))) % 194.45/194.27 [8815]~P1(f324(f61(x88151),f324(f324(f3(f928(x88151,a916)),x88152),x88154)))+P1(f324(f61(x88151),f324(f324(f3(f928(x88151,a916)),x88152),f324(f324(f306(x88151),x88153),x88154)))) % 194.45/194.27 [8857]P1(f324(f324(f326(f927(x88571,x88571)),x88572),f304(x88571,x88573)))+~P1(f324(f324(f326(f927(x88571,x88571)),x88572),f324(f324(f183(f927(x88571,x88571),a916),x88574),x88573))) % 194.45/194.27 [8943]~P1(f324(f61(x89431),f324(f324(f3(f928(x89431,a916)),x89432),f324(f324(f306(x89431),x89434),x89433))))+P1(f324(f61(x89431),f324(f324(f3(f928(x89431,a916)),x89432),x89433))) % 194.45/194.27 [9157]~P105(x91571)+P1(f324(f324(f234(x91571),f324(f324(f112(x91571),x91572),f324(f324(f103(x91571),x91573),x91574))),f324(f324(f103(x91571),f324(f324(f112(x91571),x91572),x91573)),f324(f324(f112(x91571),x91572),x91574)))) % 194.45/194.27 [9158]~P112(x91581)+P1(f324(f324(f234(x91581),f324(f324(f233(x91581),x91582),f324(f324(f188(x91581),x91583),x91584))),f324(f324(f188(x91581),f324(f324(f233(x91581),x91582),x91583)),f324(f324(f233(x91581),x91582),x91584)))) % 194.45/194.27 [9316]E(x93161,x93162)+~P1(f324(f324(f326(f927(x93163,x93163)),f324(f324(f252(x93163,x93163),x93161),x93162)),f324(f172(f927(x93163,x93163)),f324(f324(f181(x93163,x93163),x93164),x93164)))) % 194.45/194.27 [9350]~P1(f324(f324(f326(f927(x93501,x93501)),f324(f324(f252(x93501,x93501),x93503),x93502)),f304(x93501,x93504)))+~P35(x93501,f324(f324(f306(f927(x93501,x93501)),f324(f324(f252(x93501,x93501),x93502),x93503)),x93504)) % 194.45/194.27 [9351]~P1(f324(f324(f326(f927(x93511,x93511)),f324(f324(f252(x93511,x93511),x93513),x93512)),f304(x93511,x93514)))+~P58(x93511,f324(f324(f306(f927(x93511,x93511)),f324(f324(f252(x93511,x93511),x93512),x93513)),x93514)) % 194.45/194.27 [9356]E(x93561,x93562)+E(f324(f136(x93563,f324(f324(f10(a916,a916,x93563),a319),f324(a321,x93561))),f324(f324(f151(x93563),x93562),x93564)),f324(f324(f151(x93563),x93562),f324(f136(x93563,f324(f324(f10(a916,a916,x93563),a319),f324(a321,x93561))),x93564))) % 194.45/194.27 [9385]~P23(x93852,x93851,x93853,f242(f928(x93852,a916)),f242(f928(x93851,a916)))+E(f324(f307(x93851,x93852,f91(x93852,x93851,f242(f928(x93852,a916)),x93853)),x93854),f324(f308(x93852,x93851,x93853),x93854)) % 194.45/194.27 [9400]~P105(x94001)+P1(f324(f324(f234(x94001),f324(f324(f112(x94001),f324(f324(f103(x94001),x94002),x94003)),f324(f324(f103(x94001),x94002),x94004))),f324(f324(f103(x94001),x94002),f324(f324(f112(x94001),x94003),x94004)))) % 194.45/194.27 [9401]~P112(x94011)+P1(f324(f324(f234(x94011),f324(f324(f233(x94011),f324(f324(f188(x94011),x94012),x94013)),f324(f324(f188(x94011),x94012),x94014))),f324(f324(f188(x94011),x94012),f324(f324(f233(x94011),x94013),x94014)))) % 194.45/194.27 [9464]~P23(x94642,x94641,x94644,f242(f928(x94642,a916)),f242(f928(x94641,a916)))+E(f324(f262(x94641),f324(f324(f10(x94642,a916,x94641),x94643),f91(x94642,x94641,f242(f928(x94642,a916)),x94644))),f324(f307(x94642,x94641,x94644),f324(f262(x94642),x94643))) % 194.45/194.27 [9478]~E(f324(f307(x94782,x94781,x94783),f242(f928(x94782,a916))),f242(f928(x94781,a916)))+P1(f324(f324(f234(f928(x94781,a916)),f324(f78(f928(x94781,a916)),f324(f307(x94782,x94781,x94783),x94784))),f324(f307(x94782,x94781,x94783),f324(f78(f928(x94782,a916)),x94784)))) % 194.45/194.27 [9807]P1(f324(f324(f326(f927(x98071,x98071)),f324(f324(f252(x98071,x98071),x98072),x98073)),f324(f284(x98071,x98071),f324(f324(f286(x98071,x98071,x98071),x98074),f304(x98071,x98074)))))+~P1(f324(f324(f326(f927(x98071,x98071)),f324(f324(f252(x98071,x98071),x98072),x98073)),f324(f324(f286(x98071,x98071,x98071),f324(f284(x98071,x98071),x98074)),f304(x98071,f324(f284(x98071,x98071),x98074))))) % 194.45/194.27 [9808]~P1(f324(f324(f326(f927(x98081,x98081)),f324(f324(f252(x98081,x98081),x98082),x98083)),f324(f284(x98081,x98081),f324(f324(f286(x98081,x98081,x98081),x98084),f304(x98081,x98084)))))+P1(f324(f324(f326(f927(x98081,x98081)),f324(f324(f252(x98081,x98081),x98082),x98083)),f324(f324(f286(x98081,x98081,x98081),f324(f284(x98081,x98081),x98084)),f304(x98081,f324(f284(x98081,x98081),x98084))))) % 194.45/194.27 [9829]~P1(f324(f324(f326(x98292),x98294),f324(f282(x98291,x98292),x98293)))+P1(f324(f324(f326(f927(x98291,x98292)),f324(f324(f252(x98291,x98292),f599(x98293,x98291,x98294,x98292)),x98294)),x98293)) % 194.45/194.27 [9830]~P1(f324(f324(f326(x98302),x98304),f324(f282(x98301,x98302),x98303)))+P1(f324(f324(f326(f927(x98301,x98302)),f324(f324(f252(x98301,x98302),f600(x98303,x98301,x98304,x98302)),x98304)),x98303)) % 194.45/194.27 [9856]~P1(f324(f324(f326(x98561),x98564),f324(f324(f103(f928(x98561,a916)),x98562),x98563)))+P1(f324(f324(f324(f103(f928(x98561,a916)),f324(f324(f9(x98561,f928(x98561,a916),a916),f326(x98561)),x98562)),f324(f324(f9(x98561,f928(x98561,a916),a916),f326(x98561)),x98563)),x98564)) % 194.45/194.27 [9857]~P1(f324(f324(f326(x98571),x98574),f324(f324(f112(f928(x98571,a916)),x98572),x98573)))+P1(f324(f324(f324(f112(f928(x98571,a916)),f324(f324(f9(x98571,f928(x98571,a916),a916),f326(x98571)),x98572)),f324(f324(f9(x98571,f928(x98571,a916),a916),f326(x98571)),x98573)),x98574)) % 194.45/194.27 [9938]~P1(f324(f324(f326(f927(x99381,x99381)),f324(f324(f252(x99381,x99381),x99384),x99383)),f324(f324(f286(x99381,x99381,x99381),x99382),f304(x99381,x99382))))+P1(f324(f324(f326(f927(x99381,x99381)),f324(f324(f252(x99381,x99381),f672(x99382,x99383,x99384,x99381)),x99383)),x99382)) % 194.45/194.27 [9976]P1(f324(f324(f326(x99761),x99762),f324(f324(f103(f928(x99761,a916)),x99763),x99764)))+~P1(f324(f324(f324(f103(f928(x99761,a916)),f324(f324(f9(x99761,f928(x99761,a916),a916),f326(x99761)),x99763)),f324(f324(f9(x99761,f928(x99761,a916),a916),f326(x99761)),x99764)),x99762)) % 194.45/194.27 [9977]P1(f324(f324(f326(x99771),x99772),f324(f324(f112(f928(x99771,a916)),x99773),x99774)))+~P1(f324(f324(f324(f112(f928(x99771,a916)),f324(f324(f9(x99771,f928(x99771,a916),a916),f326(x99771)),x99773)),f324(f324(f9(x99771,f928(x99771,a916),a916),f326(x99771)),x99774)),x99772)) % 194.45/194.27 [10246]P30(x102461,f324(f324(f9(x102461,f928(f927(x102461,x102461),a916),f928(x102461,a916)),f324(f324(f10(f928(x102461,f928(f928(f927(x102461,x102461),a916),a916)),f928(f928(f927(x102461,x102461),a916),f928(x102461,a916)),x102461),f9(x102461,f928(f927(x102461,x102461),a916),a916)),f324(f324(f10(f928(x102461,f927(x102461,x102461)),f928(x102461,f928(f928(f927(x102461,x102461),a916),a916)),x102461),f324(f10(f927(x102461,x102461),f928(f928(f927(x102461,x102461),a916),a916),x102461),f326(f927(x102461,x102461)))),f252(x102461,x102461)))),x102462),x102463,x102464)+~P1(f324(f324(f326(f927(f921(x102461),f921(x102461))),f324(f324(f252(f921(x102461),f921(x102461)),x102463),x102464)),f158(x102461,x102462))) % 194.45/194.27 [10250]P59(x102501,f324(f324(f9(x102501,f928(f927(x102501,x102501),a916),f928(x102501,a916)),f324(f324(f10(f928(x102501,f928(f928(f927(x102501,x102501),a916),a916)),f928(f928(f927(x102501,x102501),a916),f928(x102501,a916)),x102501),f9(x102501,f928(f927(x102501,x102501),a916),a916)),f324(f324(f10(f928(x102501,f927(x102501,x102501)),f928(x102501,f928(f928(f927(x102501,x102501),a916),a916)),x102501),f324(f10(f927(x102501,x102501),f928(f928(f927(x102501,x102501),a916),a916),x102501),f326(f927(x102501,x102501)))),f252(x102501,x102501)))),x102502),x102503,x102504)+~P1(f324(f324(f326(f927(f928(x102501,a916),f928(x102501,a916))),f324(f324(f252(f928(x102501,a916),f928(x102501,a916)),x102503),x102504)),f316(x102501,x102502))) % 194.45/194.27 [10286]E(x102861,x102862)+~E(f324(f324(f9(x102863,f928(f927(x102863,x102864),a916),f928(x102864,a916)),f324(f324(f10(f928(x102864,f928(f928(f927(x102863,x102864),a916),a916)),f928(f928(f927(x102863,x102864),a916),f928(x102864,a916)),x102863),f9(x102864,f928(f927(x102863,x102864),a916),a916)),f324(f324(f10(f928(x102864,f927(x102863,x102864)),f928(x102864,f928(f928(f927(x102863,x102864),a916),a916)),x102863),f324(f10(f927(x102863,x102864),f928(f928(f927(x102863,x102864),a916),a916),x102864),f326(f927(x102863,x102864)))),f252(x102863,x102864)))),x102861),f324(f324(f9(x102863,f928(f927(x102863,x102864),a916),f928(x102864,a916)),f324(f324(f10(f928(x102864,f928(f928(f927(x102863,x102864),a916),a916)),f928(f928(f927(x102863,x102864),a916),f928(x102864,a916)),x102863),f9(x102864,f928(f927(x102863,x102864),a916),a916)),f324(f324(f10(f928(x102864,f927(x102863,x102864)),f928(x102864,f928(f928(f927(x102863,x102864),a916),a916)),x102863),f324(f10(f927(x102863,x102864),f928(f928(f927(x102863,x102864),a916),a916),x102864),f326(f927(x102863,x102864)))),f252(x102863,x102864)))),x102862)) % 194.45/194.27 [10289]~P30(x102891,f324(f324(f9(x102891,f928(f927(x102891,x102891),a916),f928(x102891,a916)),f324(f324(f10(f928(x102891,f928(f928(f927(x102891,x102891),a916),a916)),f928(f928(f927(x102891,x102891),a916),f928(x102891,a916)),x102891),f9(x102891,f928(f927(x102891,x102891),a916),a916)),f324(f324(f10(f928(x102891,f927(x102891,x102891)),f928(x102891,f928(f928(f927(x102891,x102891),a916),a916)),x102891),f324(f10(f927(x102891,x102891),f928(f928(f927(x102891,x102891),a916),a916),x102891),f326(f927(x102891,x102891)))),f252(x102891,x102891)))),x102894),x102892,x102893)+P1(f324(f324(f326(f927(f921(x102891),f921(x102891))),f324(f324(f252(f921(x102891),f921(x102891)),x102892),x102893)),f158(x102891,x102894))) % 194.45/194.27 [10290]~P59(x102901,f324(f324(f9(x102901,f928(f927(x102901,x102901),a916),f928(x102901,a916)),f324(f324(f10(f928(x102901,f928(f928(f927(x102901,x102901),a916),a916)),f928(f928(f927(x102901,x102901),a916),f928(x102901,a916)),x102901),f9(x102901,f928(f927(x102901,x102901),a916),a916)),f324(f324(f10(f928(x102901,f927(x102901,x102901)),f928(x102901,f928(f928(f927(x102901,x102901),a916),a916)),x102901),f324(f10(f927(x102901,x102901),f928(f928(f927(x102901,x102901),a916),a916),x102901),f326(f927(x102901,x102901)))),f252(x102901,x102901)))),x102904),x102902,x102903)+P1(f324(f324(f326(f927(f928(x102901,a916),f928(x102901,a916))),f324(f324(f252(f928(x102901,a916),f928(x102901,a916)),x102902),x102903)),f316(x102901,x102904))) % 194.45/194.27 [7641]~P102(x76411)+E(f324(f324(f80(x76411),f324(f105(x76411),x76412)),f324(f324(f80(x76411),f324(f105(x76411),x76413)),x76414)),f324(f324(f80(x76411),f324(f105(x76411),f324(f324(f80(a1),x76412),x76413))),x76414)) % 194.45/194.27 [7642]~P102(x76421)+E(f324(f324(f79(x76421),f324(f105(x76421),x76422)),f324(f324(f3(x76421),f324(f105(x76421),x76423)),x76424)),f324(f324(f3(x76421),f324(f105(x76421),f324(f324(f79(a1),x76422),x76423))),x76424)) % 194.45/194.27 [7643]~P102(x76431)+E(f324(f324(f79(x76431),f324(f105(x76431),x76432)),f324(f324(f79(x76431),f324(f105(x76431),x76433)),x76434)),f324(f324(f79(x76431),f324(f105(x76431),f324(f324(f79(a1),x76432),x76433))),x76434)) % 194.45/194.27 [7683]~P114(x76831)+E(f324(f165(x76831),f324(f324(f154(x76832,x76831),f324(f18(x76831,x76832),x76833)),x76834)),f324(f324(f80(x76831),f324(f102(x76831),f324(f190(f921(x76832)),x76834))),x76833)) % 194.45/194.27 [7919]E(f324(f268(x79191,f324(f324(f151(f927(a101,x79191)),x79192),x79193)),x79194),f324(f256(a101,x79191),x79192))+~P1(f324(f324(f235(a101),x79194),f324(f251(a101,x79191),x79192))) % 194.45/194.27 [7966]~P102(x79661)+E(f324(f324(f79(x79661),f324(f105(x79661),x79662)),f324(f324(f3(x79661),x79663),f324(f105(x79661),x79664))),f324(f324(f79(x79661),f324(f105(x79661),f324(f324(f79(a1),x79662),f324(f78(a1),x79664)))),x79663)) % 194.45/194.27 [8101]E(f324(f268(x81011,x81012),f324(f324(f3(a101),x81013),f324(f251(a101,x81011),x81014))),f324(f268(x81011,f324(f324(f151(f927(a101,x81011)),x81014),x81012)),x81013))+P1(f324(f324(f235(a101),x81013),f324(f251(a101,x81011),x81014))) % 194.45/194.27 [8540]~P1(f324(f324(f326(x85401),x85402),f324(f172(x85401),f116(x85401,x85404))))+P1(f324(f324(f326(x85401),x85402),f324(f172(x85401),f116(x85401,f324(f324(f134(x85401),x85403),x85404))))) % 194.45/194.27 [8541]~P1(f324(f324(f326(x85411),x85412),f324(f172(x85411),f116(x85411,x85413))))+P1(f324(f324(f326(x85411),x85412),f324(f172(x85411),f116(x85411,f324(f324(f134(x85411),x85413),x85414))))) % 194.45/194.27 [8559]E(f324(f324(f112(f928(x85591,a916)),f324(f324(f103(f928(x85591,a916)),x85592),x85593)),x85594),f324(f324(f103(f928(x85591,a916)),x85592),f324(f324(f112(f928(x85591,a916)),x85593),x85594)))+~P1(f324(f324(f234(f928(x85591,a916)),x85594),x85592)) % 194.45/194.27 [8871]~E(f324(f324(f112(f928(x88711,a916)),f324(f324(f103(f928(x88711,a916)),x88713),x88714)),x88712),f324(f324(f103(f928(x88711,a916)),x88713),f324(f324(f112(f928(x88711,a916)),x88714),x88712)))+P1(f324(f324(f234(f928(x88711,a916)),x88712),x88713)) % 194.45/194.27 [9162]~P1(f324(f324(f234(f928(x91621,a916)),x91622),f324(f324(f112(f928(x91621,a916)),x91623),x91624)))+P1(f324(f324(f234(f928(x91621,a916)),f324(f324(f3(f928(x91621,a916)),x91622),x91623)),x91624)) % 194.45/194.27 [9280]~E(f324(f307(x92801,x92802,x92803),f242(f928(x92801,a916))),f242(f928(x92802,a916)))+E(f324(f307(x92801,x92802,x92803),f324(f307(x92802,x92801,f91(x92801,x92802,f242(f928(x92801,a916)),x92803)),x92804)),x92804) % 194.45/194.27 [9290]P1(f324(f324(f234(f928(x92901,a916)),x92902),f324(f324(f112(f928(x92901,a916)),x92903),x92904)))+~P1(f324(f324(f234(f928(x92901,a916)),f324(f324(f3(f928(x92901,a916)),x92902),x92903)),x92904)) % 194.45/194.27 [9381]~P95(x93811)+E(f324(f75(x93811),f324(f324(f8(x93812,x93811),f324(f324(f10(x93811,x93811,x93812),f75(x93811)),x93813)),x93814)),f324(f324(f8(x93812,x93811),f324(f324(f10(x93811,x93811,x93812),f75(x93811)),x93813)),x93814)) % 194.45/194.27 [9555]~P95(x95551)+P1(f324(f324(f234(x95551),f2(x95551)),f324(f324(f8(x95552,x95551),f324(f324(f10(x95551,x95551,x95552),f75(x95551)),x95553)),x95554))) % 194.45/194.27 [9559]~P65(x95591)+E(f324(f165(x95591),f324(f324(f154(x95592,x95591),f324(f72(x95591,x95591,x95592,f78(x95591)),x95593)),x95594)),f324(f78(x95591),f324(f165(x95591),f324(f324(f154(x95592,x95591),x95593),x95594)))) % 194.45/194.27 [9702]~P95(x97021)+P1(f324(f324(f234(x97021),f324(f75(x97021),f324(f324(f8(x97022,x97021),x97023),x97024))),f324(f324(f8(x97022,x97021),f324(f324(f10(x97021,x97021,x97022),f75(x97021)),x97023)),x97024))) % 194.45/194.27 [9731]~E(f324(f324(f79(a920),x97311),x97314),f324(f324(f79(a920),x97313),x97312))+P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),f324(f324(f252(a920,a920),x97311),x97312)),f324(f324(f252(a920,a920),x97313),x97314))),a110)) % 194.45/194.27 [9732]~P1(f324(f324(f235(a920),x97321),x97323))+P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),f324(f324(f252(a920,a920),x97321),x97322)),f324(f324(f252(a920,a920),x97323),x97324))),a32)) % 194.45/194.27 [9733]~P1(f324(f324(f235(a920),x97331),x97333))+P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),f324(f324(f252(a920,a920),x97331),x97332)),f324(f324(f252(a920,a920),x97333),x97334))),a70)) % 194.45/194.27 [9882]E(f324(f324(f79(a920),x98821),x98822),f324(f324(f79(a920),x98823),x98824))+~P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),f324(f324(f252(a920,a920),x98821),x98824)),f324(f324(f252(a920,a920),x98823),x98822))),a110)) % 194.45/194.27 [9912]E(f324(f324(f164(x99121),f324(f324(f138(x99121),f324(f190(f921(x99121)),f177(x99121,x99122,x99123))),x99123)),x99124),f324(f324(f164(x99121),x99123),f324(f324(f79(a920),x99124),f324(f190(f921(x99121)),f177(x99121,x99122,x99123)))))+~P1(f324(f324(f235(a920),x99124),f324(f190(f921(x99121)),f324(f324(f138(x99121),f324(f190(f921(x99121)),f177(x99121,x99122,x99123))),x99123)))) % 194.45/194.27 [9929]~P1(f324(f324(f326(x99292),x99294),f324(f324(f39(x99291,f928(x99292,a916)),f242(f928(x99291,a916))),x99293)))+P1(f324(f324(f324(f39(x99291,f928(x99292,a916)),f242(f928(x99291,a916))),f324(f324(f10(f928(x99292,a916),f928(x99292,a916),x99291),f324(f9(x99292,f928(x99292,a916),a916),f326(x99292))),x99293)),x99294)) % 194.45/194.27 [9930]~P1(f324(f324(f326(x99302),x99304),f324(f324(f40(x99301,f928(x99302,a916)),f242(f928(x99301,a916))),x99303)))+P1(f324(f324(f324(f40(x99301,f928(x99302,a916)),f242(f928(x99301,a916))),f324(f324(f10(f928(x99302,a916),f928(x99302,a916),x99301),f324(f9(x99302,f928(x99302,a916),a916),f326(x99302))),x99303)),x99304)) % 194.45/194.27 [10003]~P1(f324(f49(x100031,x100032),f324(f324(f252(a1,a1),x100034),x100033)))+P1(f324(f49(f324(f78(a1),x100031),x100032),f324(f324(f252(a1,a1),f324(f324(f324(f96(a1),f324(f324(a321,x100033),f2(a1))),f324(f78(a1),x100034)),f324(f324(f3(a1),f324(f78(a1),x100034)),f77(a1)))),f324(f324(f324(f96(a1),f324(f324(a321,x100033),f2(a1))),f2(a1)),f324(f324(f3(a1),x100032),x100033))))) % 194.45/194.27 [10014]P1(f324(f324(f326(x100141),x100142),f324(f324(f39(x100143,f928(x100141,a916)),f242(f928(x100143,a916))),x100144)))+~P1(f324(f324(f324(f39(x100143,f928(x100141,a916)),f242(f928(x100143,a916))),f324(f324(f10(f928(x100141,a916),f928(x100141,a916),x100143),f324(f9(x100141,f928(x100141,a916),a916),f326(x100141))),x100144)),x100142)) % 194.45/194.27 [10015]P1(f324(f324(f326(x100151),x100152),f324(f324(f40(x100153,f928(x100151,a916)),f242(f928(x100153,a916))),x100154)))+~P1(f324(f324(f324(f40(x100153,f928(x100151,a916)),f242(f928(x100153,a916))),f324(f324(f10(f928(x100151,a916),f928(x100151,a916),x100153),f324(f9(x100151,f928(x100151,a916),a916),f326(x100151))),x100154)),x100152)) % 194.45/194.27 [10027]E(f324(f324(f40(a920,f928(x100271,a916)),f242(f928(a920,a916))),x100272),f324(f324(f40(a920,f928(x100271,a916)),f242(f928(a920,a916))),x100273))+~E(f324(f324(f40(a920,f928(x100271,a916)),f324(f299(a920,f2(a920)),f506(x100272,x100274,x100273,x100271))),x100273),f324(f324(f40(a920,f928(x100271,a916)),f324(f299(a920,f2(a920)),f324(f324(f79(a920),f506(x100272,x100274,x100273,x100271)),x100274))),x100272)) % 194.45/194.27 [10359]~P1(f324(f324(f234(f928(f927(x103591,x103592),a916)),x103593),x103594))+P1(f324(f324(f234(f928(x103591,f928(x103592,a916))),f324(f324(f9(x103591,f928(f927(x103591,x103592),a916),f928(x103592,a916)),f324(f324(f10(f928(x103592,f928(f928(f927(x103591,x103592),a916),a916)),f928(f928(f927(x103591,x103592),a916),f928(x103592,a916)),x103591),f9(x103592,f928(f927(x103591,x103592),a916),a916)),f324(f324(f10(f928(x103592,f927(x103591,x103592)),f928(x103592,f928(f928(f927(x103591,x103592),a916),a916)),x103591),f324(f10(f927(x103591,x103592),f928(f928(f927(x103591,x103592),a916),a916),x103592),f326(f927(x103591,x103592)))),f252(x103591,x103592)))),x103593)),f324(f324(f9(x103591,f928(f927(x103591,x103592),a916),f928(x103592,a916)),f324(f324(f10(f928(x103592,f928(f928(f927(x103591,x103592),a916),a916)),f928(f928(f927(x103591,x103592),a916),f928(x103592,a916)),x103591),f9(x103592,f928(f927(x103591,x103592),a916),a916)),f324(f324(f10(f928(x103592,f927(x103591,x103592)),f928(x103592,f928(f928(f927(x103591,x103592),a916),a916)),x103591),f324(f10(f927(x103591,x103592),f928(f928(f927(x103591,x103592),a916),a916),x103592),f326(f927(x103591,x103592)))),f252(x103591,x103592)))),x103594))) % 194.45/194.27 [10376]P1(f324(f324(f234(f928(f927(x103761,x103762),a916)),x103763),x103764))+~P1(f324(f324(f234(f928(x103761,f928(x103762,a916))),f324(f324(f9(x103761,f928(f927(x103761,x103762),a916),f928(x103762,a916)),f324(f324(f10(f928(x103762,f928(f928(f927(x103761,x103762),a916),a916)),f928(f928(f927(x103761,x103762),a916),f928(x103762,a916)),x103761),f9(x103762,f928(f927(x103761,x103762),a916),a916)),f324(f324(f10(f928(x103762,f927(x103761,x103762)),f928(x103762,f928(f928(f927(x103761,x103762),a916),a916)),x103761),f324(f10(f927(x103761,x103762),f928(f928(f927(x103761,x103762),a916),a916),x103762),f326(f927(x103761,x103762)))),f252(x103761,x103762)))),x103763)),f324(f324(f9(x103761,f928(f927(x103761,x103762),a916),f928(x103762,a916)),f324(f324(f10(f928(x103762,f928(f928(f927(x103761,x103762),a916),a916)),f928(f928(f927(x103761,x103762),a916),f928(x103762,a916)),x103761),f9(x103762,f928(f927(x103761,x103762),a916),a916)),f324(f324(f10(f928(x103762,f927(x103761,x103762)),f928(x103762,f928(f928(f927(x103761,x103762),a916),a916)),x103761),f324(f10(f927(x103761,x103762),f928(f928(f927(x103761,x103762),a916),a916),x103762),f326(f927(x103761,x103762)))),f252(x103761,x103762)))),x103764))) % 194.45/194.27 [9428]~P1(f324(f324(f326(f927(x94281,x94281)),x94282),f304(x94281,x94284)))+P1(f324(f324(f326(f927(x94281,x94281)),x94282),f304(x94281,f324(f324(f112(f928(f927(x94281,x94281),a916)),x94283),x94284)))) % 194.45/194.27 [9429]~P1(f324(f324(f326(f927(x94291,x94291)),x94292),f304(x94291,x94293)))+P1(f324(f324(f326(f927(x94291,x94291)),x94292),f304(x94291,f324(f324(f112(f928(f927(x94291,x94291),a916)),x94293),x94294)))) % 194.45/194.27 [10113]~P1(f324(f324(f234(a920),f324(f324(f79(a920),x101131),x101134)),f324(f324(f79(a920),x101133),x101132)))+P1(f324(f324(f234(a1),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101131),x101132)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101133),x101134)),f189(f928(f927(a920,a920),a916))))))) % 194.45/194.27 [10114]~P1(f324(f324(f235(a920),f324(f324(f79(a920),x101141),x101144)),f324(f324(f79(a920),x101143),x101142)))+P1(f324(f324(f235(a1),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101141),x101142)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101143),x101144)),f189(f928(f927(a920,a920),a916))))))) % 194.45/194.27 [10190]P1(f324(f324(f234(a920),f324(f324(f79(a920),x101901),x101902)),f324(f324(f79(a920),x101903),x101904)))+~P1(f324(f324(f234(a1),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101901),x101904)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101903),x101902)),f189(f928(f927(a920,a920),a916))))))) % 194.45/194.27 [10191]P1(f324(f324(f235(a920),f324(f324(f79(a920),x101911),x101912)),f324(f324(f79(a920),x101913),x101914)))+~P1(f324(f324(f235(a1),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101911),x101914)),f189(f928(f927(a920,a920),a916)))))),f324(a88,f324(f283(f927(a920,a920),f927(a920,a920),a110),f324(f324(f306(f927(a920,a920)),f324(f324(f252(a920,a920),x101913),x101912)),f189(f928(f927(a920,a920),a916))))))) % 194.45/194.27 [10232]P1(f324(f324(f234(f928(x102321,a916)),f324(f324(f40(a920,f928(x102321,a916)),f242(f928(a920,a916))),x102322)),f324(f324(f40(a920,f928(x102321,a916)),f242(f928(a920,a916))),x102323)))+~P1(f324(f324(f234(f928(x102321,a916)),f324(f324(f40(a920,f928(x102321,a916)),f324(f299(a920,f2(a920)),f507(x102323,x102324,x102322,x102321))),x102322)),f324(f324(f40(a920,f928(x102321,a916)),f324(f299(a920,f2(a920)),f324(f324(f79(a920),f507(x102323,x102324,x102322,x102321)),x102324))),x102323))) % 194.45/194.27 [10293]P1(f324(f324(f234(a101),x102934),f2(a101)))+E(f324(f324(f259(f927(a101,a101),f927(x102931,f928(a923,a320)),f927(a101,a101),f927(f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101))),f324(x102932,x102933)),f324(f324(f10(f928(f928(a101,f928(a916,f924(f922(x102931)))),f928(f927(a101,a101),f927(f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101)))),f928(f927(a101,a101),f927(f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101))),f927(x102931,f928(a923,a320))),f324(f259(f927(a101,a101),f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101),f927(f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101))),f275(x102931,x102932,f324(f324(f3(a101),x102934),f77(a101)),x102933))),f324(f324(f10(f928(f928(a101,f928(a916,f924(f922(x102931)))),f928(a101,f928(a916,f924(f922(x102931))))),f928(f928(a101,f928(a916,f924(f922(x102931)))),f928(f927(a101,a101),f927(f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101)))),f927(x102931,f928(a923,a320))),f324(f10(f928(a101,f928(a916,f924(f922(x102931)))),f928(f927(a101,a101),f927(f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101))),f928(a101,f928(a916,f924(f922(x102931))))),f252(f928(a101,f928(a916,f924(f922(x102931)))),f927(a101,a101)))),f324(f324(f10(f928(a101,f928(a916,f924(f922(x102931)))),f928(f928(a101,f928(a916,f924(f922(x102931)))),f928(a101,f928(a916,f924(f922(x102931))))),f927(x102931,f928(a923,a320))),f44(x102931)),f324(f324(f10(x102931,f928(a101,f928(a916,f924(f922(x102931)))),f927(x102931,f928(a923,a320))),f42(x102931)),f251(x102931,f928(a923,a320))))))),f275(x102931,x102932,x102934,x102933)) % 194.45/194.27 [10349]~P1(f324(f324(f326(x103492),x103494),f324(f282(x103491,x103492),x103493)))+P1(f324(f250(x103491,x103492,f324(f324(f9(x103491,f928(f927(x103491,x103492),a916),f928(x103492,a916)),f324(f324(f10(f928(x103492,f928(f928(f927(x103491,x103492),a916),a916)),f928(f928(f927(x103491,x103492),a916),f928(x103492,a916)),x103491),f9(x103492,f928(f927(x103491,x103492),a916),a916)),f324(f324(f10(f928(x103492,f927(x103491,x103492)),f928(x103492,f928(f928(f927(x103491,x103492),a916),a916)),x103491),f324(f10(f927(x103491,x103492),f928(f928(f927(x103491,x103492),a916),a916),x103492),f326(f927(x103491,x103492)))),f252(x103491,x103492)))),x103493)),x103494)) % 194.45/194.27 [10350]~P1(f324(f324(f326(x103501),x103504),f324(f264(x103501,x103502),x103503)))+P1(f324(f249(x103501,x103502,f324(f324(f9(x103501,f928(f927(x103501,x103502),a916),f928(x103502,a916)),f324(f324(f10(f928(x103502,f928(f928(f927(x103501,x103502),a916),a916)),f928(f928(f927(x103501,x103502),a916),f928(x103502,a916)),x103501),f9(x103502,f928(f927(x103501,x103502),a916),a916)),f324(f324(f10(f928(x103502,f927(x103501,x103502)),f928(x103502,f928(f928(f927(x103501,x103502),a916),a916)),x103501),f324(f10(f927(x103501,x103502),f928(f928(f927(x103501,x103502),a916),a916),x103502),f326(f927(x103501,x103502)))),f252(x103501,x103502)))),x103503)),x103504)) % 194.45/194.27 [10362]P1(f324(f324(f326(x103621),x103622),f324(f282(x103623,x103621),x103624)))+~P1(f324(f250(x103623,x103621,f324(f324(f9(x103623,f928(f927(x103623,x103621),a916),f928(x103621,a916)),f324(f324(f10(f928(x103621,f928(f928(f927(x103623,x103621),a916),a916)),f928(f928(f927(x103623,x103621),a916),f928(x103621,a916)),x103623),f9(x103621,f928(f927(x103623,x103621),a916),a916)),f324(f324(f10(f928(x103621,f927(x103623,x103621)),f928(x103621,f928(f928(f927(x103623,x103621),a916),a916)),x103623),f324(f10(f927(x103623,x103621),f928(f928(f927(x103623,x103621),a916),a916),x103621),f326(f927(x103623,x103621)))),f252(x103623,x103621)))),x103624)),x103622)) % 194.45/194.27 [10363]P1(f324(f324(f326(x103631),x103632),f324(f264(x103631,x103633),x103634)))+~P1(f324(f249(x103631,x103633,f324(f324(f9(x103631,f928(f927(x103631,x103633),a916),f928(x103633,a916)),f324(f324(f10(f928(x103633,f928(f928(f927(x103631,x103633),a916),a916)),f928(f928(f927(x103631,x103633),a916),f928(x103633,a916)),x103631),f9(x103633,f928(f927(x103631,x103633),a916),a916)),f324(f324(f10(f928(x103633,f927(x103631,x103633)),f928(x103633,f928(f928(f927(x103631,x103633),a916),a916)),x103631),f324(f10(f927(x103631,x103633),f928(f928(f927(x103631,x103633),a916),a916),x103633),f326(f927(x103631,x103633)))),f252(x103631,x103633)))),x103634)),x103632)) % 194.45/194.27 [10037]P1(f324(f160(x100371,x100372),x100373))+~P1(f324(f160(x100371,f324(f324(f20(x100371,a916,a916),f324(f324(f10(a916,f928(a916,a916),x100371),a322),x100374)),x100372)),x100373)) % 194.45/194.27 [10038]P1(f324(f160(x100381,x100382),x100383))+~P1(f324(f160(x100381,f324(f324(f20(x100381,a916,a916),f324(f324(f10(a916,f928(a916,a916),x100381),a322),x100382)),x100384)),x100383)) % 194.45/194.27 [10115]~P121(x101151)+E(f324(f324(f80(x101151),f324(f324(f79(x101151),f77(x101151)),f77(x101151))),f324(f324(f8(a920,x101151),f324(f324(f10(x101151,x101151,a920),f324(f79(x101151),x101152)),f324(f324(f9(a920,x101151,x101151),f324(f324(f10(x101151,f928(x101151,x101151),a920),f80(x101151)),f102(x101151))),x101153))),f324(f280(a920),x101154))),f324(f324(f80(x101151),f324(f102(x101151),x101154)),f324(f324(f79(x101151),x101152),f324(f324(f79(x101151),x101152),f324(f324(f80(x101151),f324(f102(x101151),f324(f324(f3(a920),x101154),f77(a920)))),x101153))))) % 194.45/194.27 [10253]P1(f324(x102531,f604(x102532,x102533,x102534,x102531)))+P35(x102532,f324(f262(f927(x102532,x102532)),f324(f257(x102532,x102532,a916),f324(f324(f10(f928(x102532,a916),f928(x102532,a916),x102532),f324(f20(x102532,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102532),a322),x102531))),f324(f324(f9(x102532,f928(x102532,x102532),f928(x102532,a916)),f324(f324(f10(f928(x102532,a916),f928(f928(x102532,x102532),f928(x102532,a916)),x102532),f10(x102532,a916,x102532)),a321)),x102533))))) % 194.45/194.27 [10271]~P1(f324(f324(f235(a920),f324(x102714,f324(x102713,f604(x102711,x102713,x102714,x102712)))),f324(x102714,f604(x102711,x102713,x102714,x102712))))+P35(x102711,f324(f262(f927(x102711,x102711)),f324(f257(x102711,x102711,a916),f324(f324(f10(f928(x102711,a916),f928(x102711,a916),x102711),f324(f20(x102711,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102711),a322),x102712))),f324(f324(f9(x102711,f928(x102711,x102711),f928(x102711,a916)),f324(f324(f10(f928(x102711,a916),f928(f928(x102711,x102711),f928(x102711,a916)),x102711),f10(x102711,a916,x102711)),a321)),x102713))))) % 194.45/194.27 [10335]~P2(x103351)+E(f37(x103351,f324(f262(x103351),f324(f324(f10(f928(f928(x103352,x103351),a916),a916,x103351),f86(f928(x103352,x103351))),f324(f324(f10(f928(f928(x103352,x103351),a916),f928(f928(x103352,x103351),a916),x103351),f324(f20(f928(x103352,x103351),a916,a916),f324(f324(f10(a916,f928(a916,a916),f928(x103352,x103351)),a322),f324(f324(f9(f928(x103352,x103351),f928(f928(x103352,x103351),a916),a916),f326(f928(x103352,x103351))),x103353)))),f324(f324(f9(x103351,f928(f928(x103352,x103351),x103351),f928(f928(x103352,x103351),a916)),f324(f324(f10(f928(x103351,a916),f928(f928(f928(x103352,x103351),x103351),f928(f928(x103352,x103351),a916)),x103351),f10(x103351,a916,f928(x103352,x103351))),a321)),f324(f324(f9(f928(x103352,x103351),x103352,x103351),f7(f928(x103352,x103351))),x103354)))))),f324(f37(f928(x103352,x103351),x103353),x103354)) % 194.45/194.27 [10336]~P2(x103361)+E(f37(x103361,f324(f262(x103361),f324(f324(f10(f928(f928(x103362,x103361),a916),a916,x103361),f86(f928(x103362,x103361))),f324(f324(f10(f928(f928(x103362,x103361),a916),f928(f928(x103362,x103361),a916),x103361),f324(f20(f928(x103362,x103361),a916,a916),f324(f324(f10(a916,f928(a916,a916),f928(x103362,x103361)),a322),f324(f324(f9(f928(x103362,x103361),f928(f928(x103362,x103361),a916),a916),f326(f928(x103362,x103361))),x103363)))),f324(f324(f9(x103361,f928(f928(x103362,x103361),x103361),f928(f928(x103362,x103361),a916)),f324(f324(f10(f928(x103361,a916),f928(f928(f928(x103362,x103361),x103361),f928(f928(x103362,x103361),a916)),x103361),f10(x103361,a916,f928(x103362,x103361))),a321)),f324(f324(f9(f928(x103362,x103361),x103362,x103361),f7(f928(x103362,x103361))),x103364)))))),f324(f37(f928(x103362,x103361),x103363),x103364)) % 194.45/194.27 [10337]~P2(x103371)+E(f38(x103371,f324(f262(x103371),f324(f324(f10(f928(f928(x103372,x103371),a916),a916,x103371),f86(f928(x103372,x103371))),f324(f324(f10(f928(f928(x103372,x103371),a916),f928(f928(x103372,x103371),a916),x103371),f324(f20(f928(x103372,x103371),a916,a916),f324(f324(f10(a916,f928(a916,a916),f928(x103372,x103371)),a322),f324(f324(f9(f928(x103372,x103371),f928(f928(x103372,x103371),a916),a916),f326(f928(x103372,x103371))),x103373)))),f324(f324(f9(x103371,f928(f928(x103372,x103371),x103371),f928(f928(x103372,x103371),a916)),f324(f324(f10(f928(x103371,a916),f928(f928(f928(x103372,x103371),x103371),f928(f928(x103372,x103371),a916)),x103371),f10(x103371,a916,f928(x103372,x103371))),a321)),f324(f324(f9(f928(x103372,x103371),x103372,x103371),f7(f928(x103372,x103371))),x103374)))))),f324(f38(f928(x103372,x103371),x103373),x103374)) % 194.45/194.27 [10338]~P2(x103381)+E(f38(x103381,f324(f262(x103381),f324(f324(f10(f928(f928(x103382,x103381),a916),a916,x103381),f86(f928(x103382,x103381))),f324(f324(f10(f928(f928(x103382,x103381),a916),f928(f928(x103382,x103381),a916),x103381),f324(f20(f928(x103382,x103381),a916,a916),f324(f324(f10(a916,f928(a916,a916),f928(x103382,x103381)),a322),f324(f324(f9(f928(x103382,x103381),f928(f928(x103382,x103381),a916),a916),f326(f928(x103382,x103381))),x103383)))),f324(f324(f9(x103381,f928(f928(x103382,x103381),x103381),f928(f928(x103382,x103381),a916)),f324(f324(f10(f928(x103381,a916),f928(f928(f928(x103382,x103381),x103381),f928(f928(x103382,x103381),a916)),x103381),f10(x103381,a916,f928(x103382,x103381))),a321)),f324(f324(f9(f928(x103382,x103381),x103382,x103381),f7(f928(x103382,x103381))),x103384)))))),f324(f38(f928(x103382,x103381),x103383),x103384)) % 194.45/194.27 [10391]~P1(f324(f324(f326(f927(x103911,x103911)),f324(f324(f252(x103911,x103911),x103913),x103914)),f324(f324(f112(f928(f927(x103911,x103911),a916)),x103912),f304(x103911,f189(f928(f927(x103911,x103911),a916))))))+P1(f324(f324(f324(f324(f112(f928(x103911,f928(x103911,a916))),f324(f324(f9(x103911,f928(f927(x103911,x103911),a916),f928(x103911,a916)),f324(f324(f10(f928(x103911,f928(f928(f927(x103911,x103911),a916),a916)),f928(f928(f927(x103911,x103911),a916),f928(x103911,a916)),x103911),f9(x103911,f928(f927(x103911,x103911),a916),a916)),f324(f324(f10(f928(x103911,f927(x103911,x103911)),f928(x103911,f928(f928(f927(x103911,x103911),a916),a916)),x103911),f324(f10(f927(x103911,x103911),f928(f928(f927(x103911,x103911),a916),a916),x103911),f326(f927(x103911,x103911)))),f252(x103911,x103911)))),x103912)),a321),x103913),x103914)) % 194.45/194.27 [10400]P1(f324(f324(f326(f927(x104001,x104001)),f324(f324(f252(x104001,x104001),x104002),x104003)),f324(f324(f112(f928(f927(x104001,x104001),a916)),x104004),f304(x104001,f189(f928(f927(x104001,x104001),a916))))))+~P1(f324(f324(f324(f324(f112(f928(x104001,f928(x104001,a916))),f324(f324(f9(x104001,f928(f927(x104001,x104001),a916),f928(x104001,a916)),f324(f324(f10(f928(x104001,f928(f928(f927(x104001,x104001),a916),a916)),f928(f928(f927(x104001,x104001),a916),f928(x104001,a916)),x104001),f9(x104001,f928(f927(x104001,x104001),a916),a916)),f324(f324(f10(f928(x104001,f927(x104001,x104001)),f928(x104001,f928(f928(f927(x104001,x104001),a916),a916)),x104001),f324(f10(f927(x104001,x104001),f928(f928(f927(x104001,x104001),a916),a916),x104001),f326(f927(x104001,x104001)))),f252(x104001,x104001)))),x104004)),a321),x104002),x104003)) % 194.45/194.27 [10346]E(f324(f324(f151(f921(x103461)),f324(f324(f151(x103461),x103462),f324(f142(f921(x103461),f921(x103461),f134(x103461),f115(x103461)),f324(f324(f154(f921(x103461),f921(x103461)),f156(f921(x103461),x103461,f115(x103461),f324(f324(f10(f921(x103461),f928(f921(x103461),f921(x103461)),x103461),f18(f921(x103461),f921(x103461))),f324(f324(f9(x103461,f921(x103461),f921(x103461)),f151(x103461)),f115(x103461))))),x103463)))),f179(x103461,f324(f324(f151(f921(x103461)),x103464),f324(f142(f921(f921(x103461)),f921(f921(x103461)),f134(f921(x103461)),f115(f921(x103461))),f324(f324(f154(f921(x103461),f921(f921(x103461))),f156(f921(f921(x103461)),x103461,f115(f921(x103461)),f324(f18(f928(f921(x103461),f921(f921(x103461))),x103461),f324(f324(f9(f921(x103461),f921(f921(x103461)),f921(f921(x103461))),f151(f921(x103461))),f115(f921(x103461)))))),x103463))))),f179(x103461,f324(f324(f151(f921(x103461)),f324(f324(f151(x103461),x103462),x103464)),x103463)))+~P1(f324(f312(f921(f921(x103461)),f180(x103461)),f324(f324(f151(f921(x103461)),f324(f324(f151(x103461),x103462),x103464)),x103463))) % 194.45/194.27 [10390]~P1(f324(f61(x103902),f324(f262(x103902),x103904)))+P1(f324(f61(x103901),f324(f262(x103901),f324(f324(f10(f928(x103902,a916),a916,x103901),f86(x103902)),f324(f324(f9(x103901,f928(x103902,a916),f928(x103902,a916)),f324(f324(f10(f928(x103902,f928(a916,a916)),f928(f928(x103902,a916),f928(x103902,a916)),x103901),f20(x103902,a916,a916)),f324(f324(f10(f928(x103902,a916),f928(x103902,f928(a916,a916)),x103901),f324(f10(a916,f928(a916,a916),x103902),a322)),f324(f324(f9(x103901,f928(x103902,x103901),f928(x103902,a916)),f324(f324(f10(f928(x103901,a916),f928(f928(x103902,x103901),f928(x103902,a916)),x103901),f10(x103901,a916,x103902)),a321)),x103903)))),x103904))))) % 194.45/194.27 [8908]P22(x89081,x89082,x89083,x89084)+~P23(x89081,x89082,x89083,x89084,x89085) % 194.45/194.27 [5402]E(x54021,x54022)+~E(f169(x54023,x54021,x54024),f169(x54023,x54022,x54025)) % 194.45/194.27 [5403]E(x54031,x54032)+~E(f127(x54033,x54034,x54031),f127(x54033,x54035,x54032)) % 194.45/194.27 [5404]E(x54041,x54042)+~E(f127(x54043,x54041,x54044),f127(x54043,x54042,x54045)) % 194.45/194.27 [8238]~E(f324(x82383,x82384),x82385)+E(f74(x82381,x82382,x82383,x82384,x82385),x82383) % 194.45/194.27 [8768]~E(f74(x87684,x87685,x87681,x87682,x87683),x87681)+E(f324(x87681,x87682),x87683) % 194.45/194.27 [9285]~P40(f30(x92851,x92855),x92852,x92853,x92854)+P40(x92851,x92852,x92853,f571(x92854,x92853,x92852,x92855,x92851)) % 194.45/194.27 [9286]~P40(f30(x92861,x92865),x92862,x92863,x92864)+P40(x92861,x92862,x92863,f618(x92864,x92863,x92862,x92865,x92861)) % 194.45/194.27 [9287]~P40(f30(x92875,x92871),x92874,x92873,x92872)+P40(x92871,f571(x92872,x92873,x92874,x92871,x92875),x92873,x92872) % 194.45/194.27 [9288]~P40(f30(x92885,x92881),x92884,x92883,x92882)+P40(x92881,f618(x92882,x92883,x92884,x92881,x92885),x92883,x92882) % 194.45/194.27 [9398]~P23(x93982,x93981,x93984,x93983,x93985)+P23(x93981,x93982,f76(x93982,x93981,x93983,x93984),x93985,x93983) % 194.45/194.27 [9399]~P23(x93992,x93991,x93994,x93993,x93995)+P23(x93991,x93992,f91(x93992,x93991,x93993,x93994),x93995,x93993) % 194.45/194.27 [6204]P1(f324(f250(x62041,x62042,x62043),x62044))+~P1(f324(f324(x62043,x62045),x62044)) % 194.45/194.27 [6206]P1(f324(f249(x62061,x62062,x62063),x62064))+~P1(f324(f324(x62063,x62064),x62065)) % 194.45/194.27 [6680]~E(x66805,f2(a101))+E(f324(f199(x66801,x66802,x66803,x66804),x66805),f117(x66802)) % 194.45/194.27 [6681]~E(x66815,f2(a101))+E(f324(f197(x66811,x66812,x66813,x66814),x66815),f125(x66812)) % 194.45/194.27 [6819]~E(x68193,f2(a101))+E(f324(f271(x68191,x68192,x68193,x68194),x68195),f324(f252(x68191,x68192),x68195)) % 194.45/194.27 [7875]~P18(x78754,x78751,x78752,x78755)+E(f324(f72(x78751,x78751,x78751,f324(x78752,x78753)),f324(x78752,x78753)),f324(x78752,x78753)) % 194.45/194.27 [8277]~P14(x82775,x82771,x82772)+E(f324(f72(x82771,x82771,x82771,f324(x82772,x82773)),f324(x82772,x82774)),f324(f72(x82771,x82771,x82771,f324(x82772,x82774)),f324(x82772,x82773))) % 194.45/194.27 [8601]P1(f324(f324(f326(f927(x86011,x86011)),f324(f324(f252(x86011,x86011),x86012),x86013)),f318(x86011,x86014,x86015)))+~P1(f324(f324(f235(a920),f324(x86014,x86012)),f324(x86014,x86013))) % 194.45/194.27 [8696]~P1(f324(f324(f326(x86964),x86963),f296(x86964,x86961,x86962,x86965)))+P1(f324(f324(x86961,x86962),x86963)) % 194.45/194.27 [8697]~P1(f324(f324(f326(x86974),x86973),f293(x86974,x86971,x86972,x86975)))+P1(f324(f324(x86971,x86972),x86973)) % 194.45/194.27 [8698]~P1(f324(f324(f326(x86984),x86982),f296(x86984,x86981,x86985,x86983)))+P1(f324(f324(x86981,x86982),x86983)) % 194.45/194.27 [8699]~P1(f324(f324(f326(x86994),x86992),f293(x86994,x86991,x86995,x86993)))+P1(f324(f324(x86991,x86992),x86993)) % 194.45/194.27 [8780]~P23(x87801,x87803,x87805,x87802,x87804)+E(f324(f35(x87801),x87802),f324(f35(x87803),x87804)) % 194.45/194.27 [8827]~P23(x88271,x88272,x88273,x88274,x88275)+E(f324(f307(x88271,x88272,x88273),x88274),x88275) % 194.45/194.27 [8847]~P57(x88472,x88471,x88475,x88473,x88474)+E(f324(f307(x88471,x88472,x88473),x88474),f242(f928(x88472,a916))) % 194.45/194.27 [9305]~P32(x93051,x93052,x93053,x93054,x93055)+P32(x93051,x93052,x93053,f324(f168(x93051),x93054),f324(f168(x93052),x93055)) % 194.45/194.27 [9307]~P32(x93071,x93072,x93073,f324(f168(x93071),x93074),x93075)+P32(x93071,x93072,x93073,x93074,f324(f168(x93072),x93075)) % 194.45/194.27 [9308]~P32(x93081,x93082,x93083,x93084,f324(f168(x93082),x93085))+P32(x93081,x93082,x93083,f324(f168(x93081),x93084),x93085) % 194.45/194.27 [9314]P32(x93141,x93142,x93143,x93144,x93145)+~P32(x93141,x93142,x93143,f324(f168(x93141),x93144),f324(f168(x93142),x93145)) % 194.45/194.27 [9721]P1(f324(f324(f326(f927(f921(x97211),f921(x97211))),f324(f324(f252(f921(x97211),f921(x97211)),f324(f324(f151(x97211),x97212),x97213)),f324(f324(f151(x97211),x97212),x97214))),f157(x97211,x97215)))+~P1(f324(f324(f326(f927(f921(x97211),f921(x97211))),f324(f324(f252(f921(x97211),f921(x97211)),x97213),x97214)),f157(x97211,x97215))) % 194.45/194.27 [9722]P1(f324(f324(f326(f927(f921(x97221),f921(x97221))),f324(f324(f252(f921(x97221),f921(x97221)),f324(f324(f134(x97221),x97222),x97223)),f324(f324(f134(x97221),x97222),x97224))),f147(x97221,x97225)))+~P1(f324(f324(f326(f927(f921(x97221),f921(x97221))),f324(f324(f252(f921(x97221),f921(x97221)),x97223),x97224)),f147(x97221,x97225))) % 194.45/194.27 [9919]E(f324(f324(f151(x99191),f683(x99192,x99193,x99194,x99195,x99191)),f687(x99192,x99193,x99194,x99195,x99191)),x99195)+~P1(f324(f324(f326(f927(f921(x99191),f921(x99191))),f324(f324(f252(f921(x99191),f921(x99191)),x99195),f324(f324(f151(x99191),x99194),x99193))),f158(x99191,x99192))) % 194.45/194.27 [9941]E(f324(f324(f151(x99411),f684(x99412,x99413,x99414,x99415,x99411)),f685(x99412,x99413,x99414,x99415,x99411)),x99413)+~P1(f324(f324(f326(f927(f921(x99411),f921(x99411))),f324(f324(f252(f921(x99411),f921(x99411)),f324(f324(f151(x99411),x99415),x99414)),x99413)),f158(x99411,x99412))) % 194.45/194.27 [10089]~P1(f324(f324(f326(f927(f921(x100891),f921(x100891))),f324(f324(f252(f921(x100891),f921(x100891)),f324(f324(f151(x100891),x100895),x100892)),x100894)),f158(x100891,x100893)))+P1(f324(f324(f326(f927(f921(x100891),f921(x100891))),f324(f324(f252(f921(x100891),f921(x100891)),x100892),f685(x100893,x100894,x100892,x100895,x100891))),f158(x100891,x100893))) % 194.45/194.27 [10158]~P1(f324(f324(f326(f927(f921(x101581),f921(x101581))),f324(f324(f252(f921(x101581),f921(x101581)),x101585),f324(f324(f151(x101581),x101584),x101583))),f158(x101581,x101582)))+P1(f324(f324(f326(f927(f921(x101581),f921(x101581))),f324(f324(f252(f921(x101581),f921(x101581)),f687(x101582,x101583,x101584,x101585,x101581)),x101583)),f158(x101581,x101582))) % 194.45/194.27 [10340]P1(f324(f324(f326(f927(x103401,x103401)),f324(f324(f252(x103401,x103401),f324(x103402,f324(f324(f79(a920),x103403),x103404))),f324(x103402,x103403))),f304(x103401,x103405)))+~P1(f324(f324(f326(f927(x103401,x103401)),f324(f324(f252(x103401,x103401),f324(x103402,f324(a114,f646(x103404,x103403,x103405,x103402,x103401)))),f324(x103402,f646(x103404,x103403,x103405,x103402,x103401)))),f304(x103401,x103405))) % 194.45/194.27 [5370]E(x53701,x53702)+~E(f324(f324(f151(x53703),x53704),x53701),f324(f324(f151(x53703),x53705),x53702)) % 194.45/194.27 [5371]E(x53711,x53712)+~E(f324(f324(f151(x53713),x53711),x53714),f324(f324(f151(x53713),x53712),x53715)) % 194.45/194.27 [5419]P1(f324(x54191,x54192))+~E(f324(f136(x54193,x54191),x54194),f324(f324(f151(x54193),x54192),x54195)) % 194.45/194.27 [5420]P1(f324(x54201,x54202))+~E(f324(f324(f151(x54203),x54202),x54204),f324(f136(x54203,x54201),x54205)) % 194.45/194.27 [5575]~E(f324(f324(f138(x55751),x55753),x55752),f324(f324(f151(x55751),x55754),x55755))+E(f324(f324(f164(x55751),x55752),x55753),x55754) % 194.45/194.27 [5714]~P12(x57144,x57145,x57141)+E(f324(f324(x57141,x57142),f324(f324(x57141,x57142),x57143)),f324(f324(x57141,x57142),x57143)) % 194.45/194.27 [6263]~E(x62634,f2(a101))+E(f324(f324(f119(x62631,x62632,x62633),x62634),x62635),f324(f324(f252(f921(x62632),x62631),f115(x62632)),x62635)) % 194.45/194.27 [6334]~P112(x63342)+~E(f324(f324(f148(x63341,x63342,x63343),x63344),x63345),f115(x63341)) % 194.45/194.27 [6718]E(x67181,x67182)+~E(f324(f324(f134(x67183),x67184),f324(f324(f151(x67183),x67181),f115(x67183))),f324(f324(f134(x67183),x67185),f324(f324(f151(x67183),x67182),f115(x67183)))) % 194.45/194.27 [6719]E(x67191,x67192)+~E(f324(f324(f134(x67193),x67191),f324(f324(f151(x67193),x67194),f115(x67193))),f324(f324(f134(x67193),x67192),f324(f324(f151(x67193),x67195),f115(x67193)))) % 194.45/194.27 [7035]E(f324(f324(f306(x70351),f324(x70352,x70353)),f324(f307(x70354,x70351,x70352),x70355)),f324(f307(x70354,x70351,x70352),x70355))+~P1(f324(f324(f326(x70354),x70353),x70355)) % 194.45/194.27 [7042]~P1(f324(x70424,f324(x70423,x70425)))+P1(f324(f324(f308(x70421,x70422,x70423),x70424),x70425)) % 194.45/194.27 [7045]~P1(f324(f324(x70453,x70455),x70454))+P1(f324(f324(f243(x70451,x70452,x70453),x70454),x70455)) % 194.45/194.27 [7139]~E(f324(f307(x71391,x71392,x71393),x71394),x71395)+E(f324(f307(f928(x71391,a916),f928(x71392,a916),f307(x71391,x71392,x71393)),f324(f305(x71391),x71394)),f324(f305(x71392),x71395)) % 194.45/194.27 [7484]P22(x74841,x74842,x74843,x74844)+~P22(x74841,x74842,x74843,f324(f324(f306(x74841),x74845),x74844)) % 194.45/194.27 [7549]P1(f324(x75491,x75492))+~P1(f324(f324(f92(x75493,x75494,x75491),x75495),x75492)) % 194.45/194.27 [7596]~P1(f324(f324(f326(x75964),x75963),x75965))+P1(f324(f324(f326(x75961),f324(x75962,x75963)),f324(f307(x75964,x75961,x75962),x75965))) % 194.45/194.27 [7617]~P112(x76172)+E(f150(x76171,x76172,x76173,f324(f136(x76171,x76174),x76175)),f324(f136(x76171,x76174),f150(x76171,x76172,x76173,x76175))) % 194.45/194.27 [7648]P1(f324(x76481,f324(x76482,x76483)))+~P1(f324(f324(f308(x76484,x76485,x76482),x76481),x76483)) % 194.45/194.27 [7651]P1(f324(f324(x76511,x76512),x76513))+~P1(f324(f324(f243(x76514,x76515,x76511),x76513),x76512)) % 194.45/194.27 [7652]P1(f324(f324(x76521,x76522),x76523))+~P1(f324(f324(f92(x76524,x76521,x76525),x76522),x76523)) % 194.45/194.27 [7713]~P1(f324(f324(f326(x77133),f324(x77134,x77132)),x77135))+P1(f324(f324(f326(x77131),x77132),f324(f308(x77131,x77133,x77134),x77135))) % 194.45/194.27 [8115]~P1(f324(f324(f326(x81155),x81153),f324(f308(x81155,x81151,x81152),x81154)))+P1(f324(f324(f326(x81151),f324(x81152,x81153)),x81154)) % 194.45/194.27 [8414]~P14(x84142,x84141,x84143)+E(f324(f142(x84141,x84142,f324(f9(x84142,x84141,x84141),x84143),x84144),f152(x84142,x84145)),f324(f324(f64(x84142,x84141,x84143),x84144),f324(f172(x84142),x84145))) % 194.45/194.27 [8436]E(f324(x84361,f509(x84362,x84361,x84363,x84364)),x84364)+~P1(f324(f324(f326(x84365),x84364),f324(f307(x84363,x84365,x84361),x84362))) % 194.45/194.27 [8743]~E(x87432,f324(f324(f151(x87431),x87434),x87435))+P1(f324(f324(f326(f927(f921(x87431),f921(x87431))),f324(f324(f252(f921(x87431),f921(x87431)),f115(x87431)),x87432)),f147(x87431,x87433))) % 194.45/194.27 [8789]E(f324(x87891,f324(f91(x87892,x87893,x87894,x87891),x87895)),x87895)+~P1(f324(f324(f326(x87893),x87895),f324(f307(x87892,x87893,x87891),x87894))) % 194.45/194.27 [8792]P22(x87921,x87922,f91(x87922,x87921,x87923,x87924),x87925)+~P1(f324(f324(f234(f928(x87921,a916)),x87925),f324(f307(x87922,x87921,x87924),x87923))) % 194.45/194.27 [8799]~P32(x87991,x87993,x87995,x87992,x87994)+E(f324(f190(f921(x87991)),x87992),f324(f190(f921(x87993)),x87994)) % 194.45/194.27 [8810]P1(f324(f324(f234(f928(x88101,a916)),f324(f324(f39(x88102,f928(x88101,a916)),x88103),x88104)),f324(x88104,x88105)))+~P1(f324(f324(f326(x88102),x88105),x88103)) % 194.45/194.27 [8863]~P57(x88631,x88632,x88633,x88635,x88634)+E(f324(f307(x88631,x88632,x88633),f242(f928(x88631,a916))),x88634) % 194.45/194.27 [9091]E(f324(f136(x90911,x90912),f777(x90913,x90914,x90915,x90912,x90911)),x90913)+~E(f324(f136(x90911,x90912),x90915),f324(f324(f151(x90911),x90914),x90913)) % 194.45/194.27 [9092]E(f324(f136(x90921,x90922),f773(x90923,x90922,x90924,x90925,x90921)),x90924)+~E(f324(f324(f151(x90921),x90925),x90924),f324(f136(x90921,x90922),x90923)) % 194.45/194.27 [9186]E(f324(f190(f921(x91861)),x91862),x91863)+~P1(f324(f324(f326(f927(f921(x91861),f921(x91861))),f324(f324(f252(f921(x91861),f921(x91861)),x91864),x91862)),f324(f143(x91861,x91865),x91863))) % 194.45/194.27 [9187]E(f324(f190(f921(x91871)),x91872),x91873)+~P1(f324(f324(f326(f927(f921(x91871),f921(x91871))),f324(f324(f252(f921(x91871),f921(x91871)),x91872),x91874)),f324(f143(x91871,x91875),x91873))) % 194.45/194.27 [9256]P1(f324(f324(f326(x92561),f509(x92562,x92563,x92561,x92564)),x92562))+~P1(f324(f324(f326(x92565),x92564),f324(f307(x92561,x92565,x92563),x92562))) % 194.45/194.27 [9424]~P38(f928(x94243,a916),f928(x94241,a916),x94242)+P1(f324(f324(f234(f928(x94241,a916)),f324(x94242,f324(f324(f103(f928(x94243,a916)),x94244),x94245))),f324(f324(f103(f928(x94241,a916)),f324(x94242,x94244)),f324(x94242,x94245)))) % 194.45/194.27 [9426]E(f324(f307(x94261,x94262,x94263),f510(x94264,x94263,x94261,x94265,x94262)),x94265)+~P1(f324(f324(f234(f928(x94262,a916)),x94265),f324(f307(x94261,x94262,x94263),x94264))) % 194.45/194.27 [9739]P1(f324(f324(f326(f927(f921(x97391),f921(x97391))),f324(f324(f252(f921(x97391),f921(x97391)),f324(f324(f151(x97391),x97392),x97393)),f324(f324(f151(x97391),x97392),x97394))),f304(f921(x97391),f157(x97391,x97395))))+~P1(f324(f324(f326(f927(f921(x97391),f921(x97391))),f324(f324(f252(f921(x97391),f921(x97391)),x97393),x97394)),f304(f921(x97391),f157(x97391,x97395)))) % 194.45/194.27 [9770]~E(f324(x97703,f724(x97705,x97704,x97703,x97702,x97701)),f324(x97705,f724(x97705,x97704,x97703,x97702,x97701)))+E(f324(f324(f154(x97701,x97702),x97703),x97704),f324(f324(f154(x97701,x97702),x97705),x97704)) % 194.45/194.27 [9846]~E(f324(f136(x98461,x98465),x98464),f324(f324(f151(x98461),x98463),x98462))+E(f324(f324(f134(x98461),f778(x98462,x98463,x98464,x98465,x98461)),f324(f324(f151(x98461),x98463),f777(x98462,x98463,x98464,x98465,x98461))),x98464) % 194.45/194.27 [9847]~E(f324(f324(f151(x98471),x98475),x98474),f324(f136(x98471,x98473),x98472))+E(f324(f324(f134(x98471),f774(x98472,x98473,x98474,x98475,x98471)),f324(f324(f151(x98471),x98475),f773(x98472,x98473,x98474,x98475,x98471))),x98472) % 194.45/194.27 [9851]E(f324(f324(f154(x98511,x98512),x98513),x98514),f324(f324(f154(x98511,x98512),x98515),x98514))+P1(f324(f324(f326(x98511),f724(x98513,x98514,x98515,x98512,x98511)),f324(f172(x98511),x98514))) % 194.45/194.27 [9883]~P1(f324(f324(f326(x98835),x98834),f324(f283(x98831,x98835,x98833),x98832)))+P1(f324(f324(f326(x98831),f529(x98832,x98833,x98831,x98834,x98835)),x98832)) % 194.45/194.27 [9884]~P1(f324(f324(f326(x98845),x98844),f324(f283(x98841,x98845,x98843),x98842)))+P1(f324(f324(f326(x98841),f533(x98842,x98843,x98841,x98844,x98845)),x98842)) % 194.45/194.27 [9913]~P1(f324(f324(f234(f928(x99135,a916)),x99134),f324(f307(x99131,x99135,x99133),x99132)))+P1(f324(f324(f234(f928(x99131,a916)),f510(x99132,x99133,x99131,x99134,x99135)),x99132)) % 194.45/194.27 [10341]E(x103411,f2(a101))+E(f224(f927(f921(x103412),x103413),f927(x103412,x103413),f324(f324(f252(f921(x103412),x103413),f115(x103412)),x103414),f324(f257(x103412,x103413,f927(f921(x103412),x103413)),f324(f324(f9(x103412,f928(x103413,f927(f921(x103412),x103413)),f928(x103413,f927(f921(x103412),x103413))),f324(f324(f10(f928(f927(f921(x103412),x103413),f927(f921(x103412),x103413)),f928(f928(x103413,f927(f921(x103412),x103413)),f928(x103413,f927(f921(x103412),x103413))),x103412),f10(f927(f921(x103412),x103413),f927(f921(x103412),x103413),x103413)),f324(f324(f10(f928(f921(x103412),f928(x103413,f927(f921(x103412),x103413))),f928(f927(f921(x103412),x103413),f927(f921(x103412),x103413)),x103412),f257(f921(x103412),x103413,f927(f921(x103412),x103413))),f324(f324(f10(f928(f921(x103412),f921(x103412)),f928(f921(x103412),f928(x103413,f927(f921(x103412),x103413))),x103412),f324(f10(f921(x103412),f928(x103413,f927(f921(x103412),x103413)),f921(x103412)),f252(f921(x103412),x103413))),f151(x103412))))),f324(f119(x103413,x103412,x103415),f324(f324(f3(a101),x103411),f77(a101))))),f324(x103415,x103414)),f324(f324(f119(x103413,x103412,x103415),x103411),x103414)) % 194.45/194.27 [6142]E(x61421,x61422)+~E(f324(f256(x61423,x61424),f324(f324(f252(x61423,x61424),x61425),x61421)),x61422) % 194.45/194.27 [6143]E(x61431,x61432)+~E(f324(f251(x61433,x61434),f324(f324(f252(x61433,x61434),x61431),x61435)),x61432) % 194.45/194.27 [6408]~E(x64083,f324(f324(f134(x64081),x64084),f324(f324(f151(x64081),x64082),x64085)))+P1(f324(f324(f326(x64081),x64082),f324(f172(x64081),x64083))) % 194.45/194.27 [6805]E(f324(f307(x68051,x68052,f324(f18(x68052,x68051),x68053)),x68054),f324(f324(f306(x68052),x68053),f189(f928(x68052,a916))))+~P1(f324(f324(f326(x68051),x68055),x68054)) % 194.45/194.27 [6876]E(f324(f324(f112(f928(x68761,a916)),f324(f172(x68761),x68762)),f324(f172(x68761),x68763)),f324(f172(x68761),x68764))+~E(f166(x68761,x68765,x68764),f324(f324(f252(f921(x68761),f921(x68761)),x68762),x68763)) % 194.45/194.27 [6975]~P112(x69752)+E(f324(f190(f921(x69751)),f324(f324(f148(x69751,x69752,x69753),x69754),x69755)),f324(a114,f324(f190(f921(x69751)),x69755))) % 194.45/194.27 [6989]~P112(x69892)+E(f324(f172(x69891),f324(f324(f148(x69891,x69892,x69893),x69894),x69895)),f324(f324(f306(x69891),x69894),f324(f172(x69891),x69895))) % 194.45/194.27 [7260]~P121(x72601)+E(f324(f324(f80(x72601),f324(f324(f80(x72601),x72602),x72603)),f324(f324(f80(x72601),x72604),x72605)),f324(f324(f80(x72601),f324(f324(f80(x72601),x72602),x72604)),f324(f324(f80(x72601),x72603),x72605))) % 194.45/194.27 [7261]~P121(x72611)+E(f324(f324(f79(x72611),f324(f324(f79(x72611),x72612),x72613)),f324(f324(f79(x72611),x72614),x72615)),f324(f324(f79(x72611),f324(f324(f79(x72611),x72612),x72614)),f324(f324(f79(x72611),x72613),x72615))) % 194.45/194.27 [7262]~P70(x72621)+E(f324(f324(f287(x72621),f324(f324(f80(x72621),x72622),x72623)),f324(f324(f80(x72621),x72624),x72625)),f324(f324(f80(x72621),f324(f324(f287(x72621),x72622),x72624)),f324(f324(f287(x72621),x72623),x72625))) % 194.45/194.27 [7276]~P112(x72761)+E(f300(x72761,f324(f324(f233(x72761),x72762),x72763),f324(f324(f188(x72761),x72764),x72765)),f324(f324(f103(f928(x72761,a916)),f300(x72761,x72762,x72764)),f300(x72761,x72763,x72765))) % 194.45/194.27 [7277]~P112(x72771)+E(f303(x72771,f324(f324(f233(x72771),x72772),x72773),f324(f324(f188(x72771),x72774),x72775)),f324(f324(f103(f928(x72771,a916)),f303(x72771,x72772,x72774)),f303(x72771,x72773,x72775))) % 194.45/194.27 [7278]~P112(x72781)+E(f302(x72781,f324(f324(f233(x72781),x72782),x72783),f324(f324(f188(x72781),x72784),x72785)),f324(f324(f103(f928(x72781,a916)),f302(x72781,x72782,x72784)),f302(x72781,x72783,x72785))) % 194.45/194.27 [7279]~P112(x72791)+E(f324(f324(f103(f928(x72791,a916)),f324(f299(x72791,x72792),x72793)),f324(f299(x72791,x72794),x72795)),f324(f299(x72791,f324(f324(f233(x72791),x72792),x72794)),f324(f324(f188(x72791),x72793),x72795))) % 194.45/194.27 [7403]~P1(f324(x74031,f432(x74033,x74032,x74031)))+P1(f324(x74031,f324(f324(f252(x74032,x74033),x74034),x74035))) % 194.45/194.27 [7515]~E(x75152,f324(x75154,x75155))+P1(f324(f324(f326(x75151),x75152),f324(f307(x75153,x75151,x75154),f242(f928(x75153,a916))))) % 194.45/194.27 [7593]~P14(x75933,x75932,x75934)+P14(x75931,x75932,f324(f324(f10(x75933,f928(x75932,x75932),x75931),x75934),x75935)) % 194.45/194.27 [7594]~P12(x75943,x75942,x75944)+P12(x75941,x75942,f324(f324(f10(x75943,f928(x75942,x75942),x75941),x75944),x75945)) % 194.45/194.27 [7730]~P22(x77301,x77302,x77303,x77304)+P22(x77301,x77302,x77303,f324(f324(f3(f928(x77301,a916)),x77304),x77305)) % 194.45/194.27 [7884]~P1(f324(f324(x78843,x78844),x78845))+P1(f324(f324(f257(x78841,x78842,a916),x78843),f324(f324(f252(x78841,x78842),x78844),x78845))) % 194.45/194.27 [8002]~P1(f324(x80022,x80024))+~E(f324(f324(f138(x80021),f324(f190(f921(x80021)),f177(x80021,x80022,x80023))),x80023),f324(f324(f151(x80021),x80024),x80025)) % 194.45/194.27 [8022]P22(x80221,x80222,x80223,x80224)+~P22(x80221,x80222,x80223,f324(f324(f112(f928(x80221,a916)),x80225),x80224)) % 194.45/194.27 [8023]P22(x80231,x80232,x80233,x80234)+~P22(x80231,x80232,x80233,f324(f324(f112(f928(x80231,a916)),x80234),x80235)) % 194.45/194.27 [8070]~P112(x80702)+E(f324(f324(f148(x80701,x80702,x80703),x80704),f150(x80701,x80702,x80703,x80705)),f150(x80701,x80702,x80703,f324(f324(f151(x80701),x80704),x80705))) % 194.45/194.27 [8391]~P12(x83912,x83911,x83913)+E(f324(f142(x83911,x83912,f324(f9(x83912,x83911,x83911),x83913),x83914),x83915),f324(f324(f64(x83912,x83911,x83913),x83914),f324(f172(x83912),x83915))) % 194.45/194.27 [8419]~E(f324(f324(f138(x84191),f324(f190(f921(x84191)),f177(x84191,x84192,x84193))),x84193),f324(f324(f151(x84191),x84194),x84195))+E(f324(f324(f134(x84191),f177(x84191,x84192,x84193)),f324(f324(f151(x84191),x84194),x84195)),x84193) % 194.45/194.27 [8446]P1(f324(f324(x84461,x84462),x84463))+~P1(f324(f324(f257(x84464,x84465,a916),x84461),f324(f324(f252(x84464,x84465),x84462),x84463))) % 194.45/194.27 [8519]P40(x85194,f914(x85195,x85194,x85193,x85192),x85192,f338(x85195,x85194,x85193,x85192))+P25(x85191,x85192,f324(f324(f324(f90(x85191),x85193),x85194),x85195)) % 194.45/194.27 [8926]P1(f324(f324(f234(f928(x89261,a916)),f324(f307(x89262,x89261,x89263),x89264)),f324(f307(x89262,x89261,x89263),x89265)))+~P1(f324(f324(f234(f928(x89262,a916)),x89264),x89265)) % 194.45/194.27 [8927]P1(f324(f324(f234(f928(x89271,a916)),f324(f308(x89271,x89272,x89273),x89274)),f324(f308(x89271,x89272,x89273),x89275)))+~P1(f324(f324(f234(f928(x89272,a916)),x89274),x89275)) % 194.45/194.27 [9006]E(x90061,f2(a101))+E(f324(f324(f259(x90062,x90063,x90062,f927(x90063,x90062)),f324(x90064,x90065)),f271(x90063,x90062,f324(f324(f3(a101),x90061),f77(a101)),x90064)),f324(f271(x90063,x90062,x90061,x90064),x90065)) % 194.45/194.27 [9116]P1(f324(f324(f255(x91161,x91162,a916,x91163),x91164),x91165))+~P1(f324(x91163,f324(f324(f252(x91161,x91162),x91164),x91165))) % 194.45/194.27 [9340]P25(x93401,x93402,f324(f324(f324(f90(x93401),x93403),x93404),x93405))+P1(f324(f324(x93403,f909(x93405,x93404,x93403,x93402)),f914(x93405,x93404,x93403,x93402))) % 194.45/194.27 [9404]~P1(f324(f324(f255(x94042,x94043,a916,x94041),x94044),x94045))+P1(f324(x94041,f324(f324(f252(x94042,x94043),x94044),x94045))) % 194.45/194.27 [9586]P25(x95861,x95862,f324(f324(f324(f90(x95861),x95863),x95864),x95865))+~P1(f324(f324(x95865,f909(x95865,x95864,x95863,x95862)),f338(x95865,x95864,x95863,x95862))) % 194.45/194.27 [9589]~P1(f324(f324(f326(x95892),x95895),f324(f307(x95891,x95892,x95894),x95893)))+P1(f324(f324(f326(x95891),f324(f91(x95891,x95892,x95893,x95894),x95895)),x95893)) % 194.45/194.27 [9681]~P1(f324(f61(x96813),f324(f307(x96812,x96813,x96815),f242(f928(x96812,a916)))))+P1(f324(f61(x96811),f324(f307(x96812,x96811,f324(f324(f10(x96813,x96811,x96812),x96814),x96815)),f242(f928(x96812,a916))))) % 194.45/194.27 [9706]P1(f324(f324(f234(f928(f928(x97061,a916),a916)),f324(f307(f928(x97062,a916),f928(x97061,a916),f307(x97062,x97061,x97063)),f324(f305(x97062),x97064))),f324(f305(x97061),x97065)))+~P1(f324(f324(f234(f928(x97061,a916)),f324(f307(x97062,x97061,x97063),x97064)),x97065)) % 194.45/194.27 [9778]E(x97781,x97782)+~P1(f324(f66(x97783,x97784,x97785,x97781,f189(f928(x97783,a916))),x97782)) % 194.45/194.27 [9795]E(f324(f324(f252(x97951,x97952),f577(x97953,x97954,x97955,x97952,x97951)),f578(x97953,x97954,x97955,x97952,x97951)),x97955)+~P1(f324(f324(f326(f927(x97951,x97952)),x97955),f324(f324(f254(x97951,x97952),x97954),x97953))) % 194.45/194.27 [9888]P1(f324(f324(f326(x98881),f577(x98882,x98883,x98884,x98885,x98881)),x98883))+~P1(f324(f324(f326(f927(x98881,x98885)),x98884),f324(f324(f254(x98881,x98885),x98883),x98882))) % 194.45/194.27 [9992]P11(x99925,x99924,f324(f324(f306(f919(x99925)),f324(f324(f324(f90(x99925),x99921),x99923),x99922)),f189(f928(f919(x99925),a916))))+P1(f324(f324(x99921,f497(x99922,x99923,x99924,x99925,x99921)),f499(x99922,x99923,x99924,x99925,x99921))) % 194.45/194.27 [10046]P1(f324(f324(f326(x100461),f578(x100462,x100463,x100464,x100461,x100465)),f324(x100462,f577(x100462,x100463,x100464,x100461,x100465))))+~P1(f324(f324(f326(f927(x100465,x100461)),x100464),f324(f324(f254(x100465,x100461),x100463),x100462))) % 194.45/194.27 [10066]P1(f324(f324(f326(f927(x100661,x100661)),f324(f324(f252(x100661,x100661),x100662),f669(x100663,x100664,x100665,x100662,x100661))),x100663))+~P1(f324(f324(f326(f927(x100661,x100661)),f324(f324(f252(x100661,x100661),x100662),x100665)),f324(f324(f183(f927(x100661,x100661),a916),f324(a114,x100664)),x100663))) % 194.45/194.27 [10067]P1(f324(f324(f326(f927(x100671,x100671)),f324(f324(f252(x100671,x100671),x100672),f670(x100673,x100674,x100675,x100672,x100671))),x100673))+~P1(f324(f324(f326(f927(x100671,x100671)),f324(f324(f252(x100671,x100671),x100672),x100675)),f324(f324(f183(f927(x100671,x100671),a916),f324(a114,x100674)),x100673))) % 194.45/194.27 [10084]~P1(f324(f324(f326(f927(f921(x100841),f921(x100841))),f324(f324(f252(f921(x100841),f921(x100841)),f324(f324(f151(x100841),x100842),x100845)),x100844)),f158(x100841,x100843)))+P1(f324(f324(f326(f927(x100841,x100841)),f324(f324(f252(x100841,x100841),x100842),f684(x100843,x100844,x100845,x100842,x100841))),x100843)) % 194.45/194.27 [10086]~P11(x100861,x100862,f324(f324(f306(f919(x100861)),f324(f324(f324(f90(x100861),f92(x100861,x100863,x100864)),x100865),x100863)),f189(f928(f919(x100861),a916))))+P11(x100861,x100862,f324(f324(f306(f919(x100861)),f324(f324(f324(f90(x100861),x100863),f29(x100864,x100865)),f92(x100861,x100863,f324(f72(a916,a916,a918,a319),x100864)))),f189(f928(f919(x100861),a916)))) % 194.45/194.27 [10087]~P26(x100871,x100872,f324(f324(f306(f919(x100871)),f324(f324(f324(f90(x100871),f92(x100871,x100873,x100874)),x100875),x100873)),f189(f928(f919(x100871),a916))))+P26(x100871,x100872,f324(f324(f306(f919(x100871)),f324(f324(f324(f90(x100871),x100873),f29(x100874,x100875)),f92(x100871,x100873,f324(f72(a916,a916,a918,a319),x100874)))),f189(f928(f919(x100871),a916)))) % 194.45/194.27 [10365]P11(x103651,x103652,f324(f324(f306(f919(x103651)),f324(f324(f324(f90(x103651),x103653),x103654),x103655)),f189(f928(f919(x103651),a916))))+~P11(x103651,x103652,f324(f324(f306(f919(x103651)),f324(f324(f324(f90(x103651),f324(f18(f928(a918,a916),x103651),f324(f324(f9(a918,a918,a916),a321),f499(x103655,x103654,x103652,x103651,x103653)))),x103654),f324(f18(f928(a918,a916),x103651),f324(x103655,f497(x103655,x103654,x103652,x103651,x103653))))),f189(f928(f919(x103651),a916)))) % 194.45/194.27 [6485]P1(f324(x64852,x64854))+E(f177(x64851,x64852,f324(f324(f134(x64851),x64853),f324(f324(f151(x64851),x64854),x64855))),f177(x64851,x64852,x64853)) % 194.45/194.27 [6535]~P64(x65352)+E(f324(f324(f324(f3(f928(x65351,x65352)),x65353),x65354),x65355),f324(f324(f3(x65352),f324(x65353,x65355)),f324(x65354,x65355))) % 194.45/194.27 [6537]~P105(x65372)+E(f324(f324(f324(f103(f928(x65371,x65372)),x65373),x65374),x65375),f324(f324(f103(x65372),f324(x65373,x65375)),f324(x65374,x65375))) % 194.45/194.27 [6539]~P105(x65392)+E(f324(f324(f324(f112(f928(x65391,x65392)),x65393),x65394),x65395),f324(f324(f112(x65392),f324(x65393,x65395)),f324(x65394,x65395))) % 194.45/194.27 [6558]E(x65581,x65582)+E(f324(f324(f164(x65583),f324(f324(f159(x65583,x65584),x65581),x65585)),x65582),f324(f324(f164(x65583),x65584),x65582)) % 194.45/194.27 [6824]~E(x68244,f189(f928(x68243,a916)))+E(f324(f324(f3(f928(x68241,a916)),x68242),f324(f324(f40(x68243,f928(x68241,a916)),x68244),x68245)),x68242) % 194.45/194.27 [6825]~E(x68254,f189(f928(x68253,a916)))+E(f324(f324(f103(f928(x68251,a916)),x68252),f324(f324(f39(x68253,f928(x68251,a916)),x68254),x68255)),x68252) % 194.45/194.27 [6826]~E(x68264,f189(f928(x68263,a916)))+E(f324(f324(f112(f928(x68261,a916)),x68262),f324(f324(f40(x68263,f928(x68261,a916)),x68264),x68265)),x68262) % 194.45/194.27 [6842]~E(x68424,f189(f928(x68423,a916)))+E(f324(f324(f306(x68421),x68422),f324(f324(f40(x68423,f928(x68421,a916)),x68424),x68425)),f324(f324(f306(x68421),x68422),f189(f928(x68421,a916)))) % 194.45/194.27 [7639]E(f324(f324(f164(x76391),f324(f324(f154(x76392,x76391),x76393),x76394)),x76395),f324(x76393,f324(f324(f164(x76392),x76394),x76395)))+~P1(f324(f324(f235(a920),x76395),f324(f190(f921(x76392)),x76394))) % 194.45/194.27 [7701]E(f324(f324(f103(f928(x77011,a916)),f324(x77012,x77013)),f324(f324(f39(x77014,f928(x77011,a916)),x77015),x77012)),f324(f324(f39(x77014,f928(x77011,a916)),x77015),x77012))+~P1(f324(f324(f326(x77014),x77013),x77015)) % 194.45/194.27 [7702]E(f324(f324(f112(f928(x77021,a916)),f324(x77022,x77023)),f324(f324(f40(x77024,f928(x77021,a916)),x77025),x77022)),f324(f324(f40(x77024,f928(x77021,a916)),x77025),x77022))+~P1(f324(f324(f326(x77024),x77023),x77025)) % 194.45/194.27 [8313]~E(x83133,f189(f928(x83131,a916)))+E(f324(f324(f40(x83131,f928(x83132,a916)),x83133),f324(f324(f10(f928(x83132,a916),f928(x83132,a916),x83131),f324(f306(x83132),x83134)),x83135)),f189(f928(x83132,a916))) % 194.45/194.27 [8318]~P1(f324(f324(f326(x83184),x83183),x83185))+P1(f324(f324(f234(f928(x83181,a916)),f324(x83182,x83183)),f324(f324(f40(x83184,f928(x83181,a916)),x83185),x83182))) % 194.45/194.27 [8445]~E(f324(x84454,x84452),x84455)+P1(f324(f324(f326(x84451),x84452),f324(f308(x84451,x84453,x84454),f324(f324(f306(x84453),x84455),f189(f928(x84453,a916)))))) % 194.45/194.27 [8493]~P55(x84931,x84932,f324(f284(x84932,x84931),x84933))+E(f324(f324(f103(f928(x84931,a916)),f324(f283(x84932,x84931,x84933),x84934)),f324(f283(x84932,x84931,x84933),x84935)),f324(f283(x84932,x84931,x84933),f324(f324(f103(f928(x84932,a916)),x84934),x84935))) % 194.45/194.27 [8568]E(x85681,f2(a101))+E(f324(f120(x85682,x85683,f324(x85684,f324(f324(f3(a101),x85681),f77(a101)))),f324(f324(f9(x85682,a101,f922(x85683)),x85685),x85681)),f324(f199(x85682,x85683,x85684,x85685),x85681)) % 194.45/194.27 [8608]E(x86081,f189(f928(x86082,a916)))+E(f324(f324(f40(x86082,f928(x86083,a916)),x86081),f324(f324(f10(f928(x86083,a916),f928(x86083,a916),x86082),f324(f306(x86083),x86084)),x86085)),f324(f324(f306(x86083),x86084),f324(f324(f40(x86082,f928(x86083,a916)),x86081),x86085))) % 194.45/194.27 [8661]~P22(x86612,x86611,x86613,f242(f928(x86612,a916)))+E(f324(f324(f3(f928(x86611,a916)),f324(f307(x86612,x86611,x86613),x86614)),f324(f307(x86612,x86611,x86613),x86615)),f324(f307(x86612,x86611,x86613),f324(f324(f3(f928(x86612,a916)),x86614),x86615))) % 194.45/194.27 [8662]~P22(x86622,x86621,x86623,f242(f928(x86622,a916)))+E(f324(f324(f103(f928(x86621,a916)),f324(f307(x86622,x86621,x86623),x86624)),f324(f307(x86622,x86621,x86623),x86625)),f324(f307(x86622,x86621,x86623),f324(f324(f103(f928(x86622,a916)),x86624),x86625))) % 194.45/194.27 [8730]~P1(f324(f324(f67(x87301,x87302,x87305),x87303),x87304))+P1(f324(f324(f326(f927(x87301,x87302)),f324(f324(f252(x87301,x87302),x87303),x87304)),x87305)) % 194.45/194.27 [8762]P1(f324(f324(f326(x87621),x87622),f324(f282(x87623,x87621),x87624)))+~P1(f324(f324(f326(f927(x87623,x87621)),f324(f324(f252(x87623,x87621),x87625),x87622)),x87624)) % 194.45/194.27 [8764]P1(f324(f324(f326(x87641),x87642),f324(f264(x87641,x87643),x87644)))+~P1(f324(f324(f326(f927(x87641,x87643)),f324(f324(f252(x87641,x87643),x87642),x87645)),x87644)) % 194.45/194.27 [8909]P1(f324(f324(f67(x89091,x89092,x89093),x89094),x89095))+~P1(f324(f324(f326(f927(x89091,x89092)),f324(f324(f252(x89091,x89092),x89094),x89095)),x89093)) % 194.45/194.27 [8949]E(f324(x89491,x89492),x89493)+~P1(f324(f324(f326(x89494),x89492),f324(f308(x89494,x89495,x89491),f324(f324(f306(x89495),x89493),f189(f928(x89495,a916)))))) % 194.45/194.27 [9183]P1(f324(f324(f326(f927(x91831,x91832)),f324(f324(f252(x91831,x91832),x91833),x91834)),f324(f284(x91832,x91831),x91835)))+~P1(f324(f324(f326(f927(x91832,x91831)),f324(f324(f252(x91832,x91831),x91834),x91833)),x91835)) % 194.45/194.27 [9201]~P1(f324(f324(x92011,x92015),x92014))+P1(f324(f324(x92011,f324(f256(x92012,x92013),f324(f324(f252(x92012,x92013),x92014),x92015))),f324(f251(x92012,x92013),f324(f324(f252(x92012,x92013),x92014),x92015)))) % 194.45/194.27 [9231]~P1(f324(f324(f326(f927(x92312,x92311)),f324(f324(f252(x92312,x92311),x92314),x92313)),f324(f284(x92311,x92312),x92315)))+P1(f324(f324(f326(f927(x92311,x92312)),f324(f324(f252(x92311,x92312),x92313),x92314)),x92315)) % 194.45/194.27 [9263]~P1(f324(f324(f326(f927(x92633,x92631)),f324(f324(f252(x92633,x92631),x92635),x92632)),x92634))+P1(f324(f324(f326(x92631),x92632),f324(f283(x92633,x92631,x92634),f324(f324(f306(x92633),x92635),f189(f928(x92633,a916)))))) % 194.45/194.27 [9319]P1(f324(f324(f326(f927(x93191,x93192)),f324(f324(f252(x93191,x93192),x93193),x93194)),x93195))+~P1(f324(f324(f326(x93192),x93194),f324(f283(x93191,x93192,x93195),f324(f324(f306(x93191),x93193),f189(f928(x93191,a916)))))) % 194.45/194.27 [9411]~P77(x94111)+E(f324(f324(f8(a920,x94111),x94112),f300(a920,f324(f324(f79(a920),x94113),x94114),f324(f324(f79(a920),x94115),x94114))),f324(f324(f8(a920,x94111),f324(f324(f10(a920,x94111,a920),x94112),f324(f324(f9(a920,a920,a920),f79(a920)),x94114))),f300(a920,x94113,x94115))) % 194.45/194.27 [9431]~P77(x94311)+E(f324(f324(f8(a920,x94311),x94312),f324(f299(a920,f324(f324(f79(a920),x94313),x94314)),f324(f324(f79(a920),x94315),x94314))),f324(f324(f8(a920,x94311),f324(f324(f10(a920,x94311,a920),x94312),f324(f324(f9(a920,a920,a920),f79(a920)),x94314))),f324(f299(a920,x94313),x94315))) % 194.45/194.27 [9489]~P22(x94891,x94892,x94893,f242(f928(x94891,a916)))+E(f324(f324(f154(x94891,x94892),x94893),f324(f136(x94891,f324(f324(f10(a916,a916,x94891),a319),f324(a321,x94894))),x94895)),f324(f136(x94892,f324(f324(f10(a916,a916,x94892),a319),f324(a321,f324(x94893,x94894)))),f324(f324(f154(x94891,x94892),x94893),x94895))) % 194.45/194.27 [9507]~P22(x95071,x95072,x95073,f324(f324(f306(x95071),x95074),f324(f172(x95071),x95075)))+E(f324(f324(f154(x95071,x95072),x95073),f324(f136(x95071,f324(f324(f10(a916,a916,x95071),a319),f324(a321,x95074))),x95075)),f324(f136(x95072,f324(f324(f10(a916,a916,x95072),a319),f324(a321,f324(x95073,x95074)))),f324(f324(f154(x95071,x95072),x95073),x95075))) % 194.45/194.27 [9669]P1(f324(f324(f326(f927(f921(x96691),f921(x96691))),f324(f324(f252(f921(x96691),f921(x96691)),f324(f324(f151(x96691),x96692),x96693)),f324(f324(f151(x96691),x96694),x96693))),f157(x96691,x96695)))+~P1(f324(f324(f326(f927(x96691,x96691)),f324(f324(f252(x96691,x96691),x96692),x96694)),x96695)) % 194.45/194.27 [9790]E(f324(f324(f306(x97901),f840(x97902,x97903,x97904,x97905,x97901)),f855(x97902,x97903,x97904,x97905,x97901)),f324(f324(f306(x97901),x97904),x97903))+~P1(f324(f62(x97901,x97905,f324(f324(f306(x97901),x97904),x97903)),x97902)) % 194.45/194.27 [9791]E(f324(f324(f306(x97911),f890(x97912,x97913,x97914,x97915,x97911)),f892(x97912,x97913,x97914,x97915,x97911)),f324(f324(f306(x97911),x97914),x97913))+~P1(f324(f62(x97911,x97915,f324(f324(f306(x97911),x97914),x97913)),x97912)) % 194.45/194.27 [9873]P1(f324(f324(f326(x98731),f430(x98732,x98733,x98734,x98735,x98731)),x98734))+P1(f324(f324(f324(f39(x98731,f928(x98735,a916)),x98734),x98733),x98732)) % 194.45/194.27 [9878]P1(f324(f324(f326(x98781),f420(x98782,x98783,x98781,x98784,x98785)),x98783))+P1(f324(f324(f326(x98785),x98784),f324(f324(f39(x98781,f928(x98785,a916)),x98783),x98782))) % 194.45/194.27 [9887]P1(f324(f324(f326(x98871),f427(x98872,x98873,x98871,x98874,x98875)),x98873))+P1(f324(f324(f234(f928(x98875,a916)),x98874),f324(f324(f39(x98871,f928(x98875,a916)),x98873),x98872))) % 194.45/194.27 [9889]P1(f324(f324(x98891,f421(x98892,x98891,x98893,x98894,x98895)),x98892))+~P1(f324(f324(f324(f40(x98895,f928(x98894,a916)),x98893),x98891),x98892)) % 194.45/194.27 [9893]P1(f324(f324(f326(x98931),f421(x98932,x98933,x98934,x98935,x98931)),x98934))+~P1(f324(f324(f324(f40(x98931,f928(x98935,a916)),x98934),x98933),x98932)) % 194.45/194.27 [9894]P53(x98944,f324(f324(f39(x98941,f928(x98944,a916)),x98945),x98943),f324(f324(f39(x98941,f928(f927(x98944,x98944),a916)),x98945),x98942))+P1(f324(f324(f326(x98941),f804(x98942,x98943,x98944,x98945,x98941)),x98945)) % 194.45/194.27 [9895]P53(x98954,f324(f324(f40(x98951,f928(x98954,a916)),x98955),x98953),f324(f324(f40(x98951,f928(f927(x98954,x98954),a916)),x98955),x98952))+P1(f324(f324(f326(x98951),f857(x98952,x98953,x98954,x98955,x98951)),x98955)) % 194.45/194.27 [9905]P1(f324(f324(f326(x99051),f419(x99052,x99053,x99051,x99054,x99055)),x99053))+~P1(f324(f324(f326(x99055),x99054),f324(f324(f40(x99051,f928(x99055,a916)),x99053),x99052))) % 194.45/194.27 [9911]P1(f324(f324(f326(x99111),x99112),f324(x99113,f419(x99113,x99114,x99115,x99112,x99111))))+~P1(f324(f324(f326(x99111),x99112),f324(f324(f40(x99115,f928(x99111,a916)),x99114),x99113))) % 194.45/194.27 [9997]~P1(f324(f324(x99974,f430(x99975,x99974,x99973,x99972,x99971)),x99975))+P1(f324(f324(f324(f39(x99971,f928(x99972,a916)),x99973),x99974),x99975)) % 194.45/194.27 [10000]~P1(f324(f324(f326(x100001),x100002),f324(x100005,f420(x100005,x100004,x100003,x100002,x100001))))+P1(f324(f324(f326(x100001),x100002),f324(f324(f39(x100003,f928(x100001,a916)),x100004),x100005))) % 194.45/194.27 [10004]~P53(x100041,f324(x100044,f804(x100045,x100044,x100041,x100043,x100042)),f324(x100045,f804(x100045,x100044,x100041,x100043,x100042)))+P53(x100041,f324(f324(f39(x100042,f928(x100041,a916)),x100043),x100044),f324(f324(f39(x100042,f928(f927(x100041,x100041),a916)),x100043),x100045)) % 194.45/194.27 [10005]~P53(x100051,f324(x100054,f857(x100055,x100054,x100051,x100053,x100052)),f324(x100055,f857(x100055,x100054,x100051,x100053,x100052)))+P53(x100051,f324(f324(f40(x100052,f928(x100051,a916)),x100053),x100054),f324(f324(f40(x100052,f928(f927(x100051,x100051),a916)),x100053),x100055)) % 194.45/194.27 [10006]~P1(f324(f324(f234(f928(x100061,a916)),x100062),f324(x100065,f427(x100065,x100064,x100063,x100062,x100061))))+P1(f324(f324(f234(f928(x100061,a916)),x100062),f324(f324(f39(x100063,f928(x100061,a916)),x100064),x100065))) % 194.45/194.27 [10070]~P1(f324(f324(f326(x100701),f840(x100705,x100704,x100703,x100702,x100701)),f855(x100705,x100704,x100703,x100702,x100701)))+~P1(f324(f62(x100701,x100702,f324(f324(f306(x100701),x100703),x100704)),x100705)) % 194.45/194.27 [10071]~P1(f324(f324(f326(x100711),f890(x100715,x100714,x100713,x100712,x100711)),f892(x100715,x100714,x100713,x100712,x100711)))+~P1(f324(f62(x100711,x100712,f324(f324(f306(x100711),x100713),x100714)),x100715)) % 194.45/194.27 [10072]~P1(f324(f324(f326(f927(x100721,x100721)),f324(f324(f252(x100721,x100721),x100722),x100725)),f324(f324(f183(f927(x100721,x100721),a916),f324(a114,x100724)),x100723)))+P1(f324(f324(f326(f927(x100721,x100721)),f324(f324(f252(x100721,x100721),x100722),f671(x100723,x100724,x100725,x100722,x100721))),f324(f324(f183(f927(x100721,x100721),a916),x100724),x100723))) % 194.45/194.27 [10078]P1(f324(f66(x100781,x100781,x100782,f840(x100783,x100784,x100785,x100782,x100781),f855(x100783,x100784,x100785,x100782,x100781)),x100783))+~P1(f324(f62(x100781,x100782,f324(f324(f306(x100781),x100785),x100784)),x100783)) % 194.45/194.27 [10079]P1(f324(f66(x100791,x100791,x100792,f890(x100793,x100794,x100795,x100792,x100791),f892(x100793,x100794,x100795,x100792,x100791)),x100793))+~P1(f324(f62(x100791,x100792,f324(f324(f306(x100791),x100795),x100794)),x100793)) % 194.45/194.27 [10091]~P112(x100911)+P10(x100911,f324(f324(f154(x100912,x100911),x100913),f324(f136(x100912,f324(f324(f9(x100912,x100911,a916),f324(f324(f10(x100911,f928(x100911,a916),x100912),a321),x100913)),f324(x100914,x100915))),x100915))) % 194.45/194.27 [10130]~P1(f324(f324(f326(x101302),x101305),f324(f283(x101301,x101302,x101304),x101303)))+P1(f324(f324(f326(f927(x101301,x101302)),f324(f324(f252(x101301,x101302),f529(x101303,x101304,x101301,x101305,x101302)),x101305)),x101304)) % 194.45/194.27 [10131]~P1(f324(f324(f326(x101312),x101315),f324(f283(x101311,x101312,x101314),x101313)))+P1(f324(f324(f326(f927(x101311,x101312)),f324(f324(f252(x101311,x101312),f533(x101313,x101314,x101311,x101315,x101312)),x101315)),x101314)) % 194.45/194.27 [10151]~P1(f324(f324(f326(f927(x101511,x101511)),f324(f324(f252(x101511,x101511),x101515),x101514)),f324(f324(f183(f927(x101511,x101511),a916),f324(a114,x101513)),x101512)))+P1(f324(f324(f326(f927(x101511,x101511)),f324(f324(f252(x101511,x101511),f671(x101512,x101513,x101514,x101515,x101511)),x101514)),x101512)) % 194.45/194.27 [10154]~P1(f324(f324(f326(f927(x101541,x101541)),f324(f324(f252(x101541,x101541),x101545),x101544)),f324(f324(f183(f927(x101541,x101541),a916),f324(a114,x101543)),x101542)))+P1(f324(f324(f326(f927(x101541,x101541)),f324(f324(f252(x101541,x101541),f669(x101542,x101543,x101544,x101545,x101541)),x101544)),f324(f324(f183(f927(x101541,x101541),a916),x101543),x101542))) % 194.45/194.27 [10155]~P1(f324(f324(f326(f927(x101551,x101551)),f324(f324(f252(x101551,x101551),x101555),x101554)),f324(f324(f183(f927(x101551,x101551),a916),f324(a114,x101553)),x101552)))+P1(f324(f324(f326(f927(x101551,x101551)),f324(f324(f252(x101551,x101551),f670(x101552,x101553,x101554,x101555,x101551)),x101554)),f324(f324(f183(f927(x101551,x101551),a916),x101553),x101552))) % 194.45/194.27 [10156]~P1(f324(f324(f326(f927(f921(x101561),f921(x101561))),f324(f324(f252(f921(x101561),f921(x101561)),x101565),f324(f324(f151(x101561),x101564),x101563))),f158(x101561,x101562)))+P1(f324(f324(f326(f927(x101561,x101561)),f324(f324(f252(x101561,x101561),f683(x101562,x101563,x101564,x101565,x101561)),x101564)),x101562)) % 194.45/194.27 [7722]~E(x77223,f189(f928(x77222,a916)))+E(f324(f324(f103(f928(x77221,a916)),f324(f324(f39(x77222,f928(x77221,a916)),x77223),x77224)),x77225),x77225) % 194.45/194.27 [7723]~E(x77233,f189(f928(x77232,a916)))+E(f324(f324(f112(f928(x77231,a916)),f324(f324(f40(x77232,f928(x77231,a916)),x77233),x77234)),x77235),x77235) % 194.45/194.27 [8157]~E(x81573,f189(f928(x81572,a916)))+E(f324(f324(f3(f928(x81571,a916)),f324(f324(f39(x81572,f928(x81571,a916)),x81573),x81574)),x81575),f324(f324(f3(f928(x81571,a916)),f242(f928(x81571,a916))),x81575)) % 194.45/194.27 [8287]E(f324(f324(f159(x82871,f324(f324(f134(x82871),x82872),x82873)),x82874),x82875),f324(f324(f134(x82871),f324(f324(f159(x82871,x82872),x82874),x82875)),x82873))+~P1(f324(f324(f235(a920),x82874),f324(f190(f921(x82871)),x82872))) % 194.45/194.27 [8558]E(f324(f324(f164(x85581),f324(f324(f154(a920,x85581),x85582),f139(a920,f324(f299(a920,x85583),x85584)))),x85585),f324(x85582,f324(f324(f79(a920),x85583),x85585)))+~P1(f324(f324(f235(a920),x85585),f324(f324(f3(a920),x85584),x85583))) % 194.45/194.27 [8572]E(x85721,f2(a101))+E(f123(x85722,x85723,f324(x85724,f324(f324(f3(a101),x85721),f77(a101))),f324(f324(f9(x85722,a101,f922(f924(x85723))),x85725),x85721)),f324(f197(x85722,x85723,x85724,x85725),x85721)) % 194.45/194.27 [8598]~E(x85983,f189(f928(x85981,a916)))+E(f324(f324(f39(x85981,f928(x85982,a916)),x85983),f324(f324(f10(f928(x85982,a916),f928(x85982,a916),x85981),f324(f3(f928(x85982,a916)),x85984)),x85985)),f242(f928(x85982,a916))) % 194.45/194.27 [8599]~E(x85993,f189(f928(x85991,a916)))+E(f324(f324(f39(x85991,f928(x85992,a916)),x85993),f324(f324(f10(f928(x85992,a916),f928(x85992,a916),x85991),f324(f103(f928(x85992,a916)),x85994)),x85995)),f242(f928(x85992,a916))) % 194.45/194.27 [8600]~E(x86003,f189(f928(x86001,a916)))+E(f324(f324(f40(x86001,f928(x86002,a916)),x86003),f324(f324(f10(f928(x86002,a916),f928(x86002,a916),x86001),f324(f112(f928(x86002,a916)),x86004)),x86005)),f189(f928(x86002,a916))) % 194.45/194.27 [8602]~P146(x86022)+E(f324(f324(f8(x86021,x86022),f324(f324(f10(x86022,x86022,x86021),f324(f80(x86022),x86023)),x86024)),x86025),f324(f324(f80(x86022),x86023),f324(f324(f8(x86021,x86022),x86024),x86025))) % 194.45/194.27 [8893]E(x88931,f189(f928(x88932,a916)))+E(f324(f324(f39(x88932,f928(x88933,a916)),x88931),f324(f324(f10(f928(x88933,a916),f928(x88933,a916),x88932),f324(f3(f928(x88933,a916)),x88934)),x88935)),f324(f324(f3(f928(x88933,a916)),x88934),f324(f324(f40(x88932,f928(x88933,a916)),x88931),x88935))) % 194.45/194.27 [8894]E(x88941,f189(f928(x88942,a916)))+E(f324(f324(f39(x88942,f928(x88943,a916)),x88941),f324(f324(f10(f928(x88943,a916),f928(x88943,a916),x88942),f324(f103(f928(x88943,a916)),x88944)),x88945)),f324(f324(f103(f928(x88943,a916)),x88944),f324(f324(f39(x88942,f928(x88943,a916)),x88941),x88945))) % 194.45/194.27 [8895]E(x88951,f189(f928(x88952,a916)))+E(f324(f324(f40(x88952,f928(x88953,a916)),x88951),f324(f324(f10(f928(x88953,a916),f928(x88953,a916),x88952),f324(f112(f928(x88953,a916)),x88954)),x88955)),f324(f324(f112(f928(x88953,a916)),x88954),f324(f324(f40(x88952,f928(x88953,a916)),x88951),x88955))) % 194.45/194.27 [9098]~P1(f324(f324(f235(a920),f324(x90984,x90982)),f324(x90984,x90983)))+P1(f324(f324(f326(f927(x90981,x90981)),f324(f324(f252(x90981,x90981),x90982),x90983)),f153(x90981,f324(f324(f151(f928(x90981,a920)),x90984),x90985)))) % 194.45/194.27 [9360]~P38(f928(x93605,a916),f928(x93601,a916),x93602)+P1(f324(f324(f234(f928(x93601,a916)),f324(f324(f112(f928(x93601,a916)),f324(x93602,x93603)),f324(x93602,x93604))),f324(x93602,f324(f324(f112(f928(x93605,a916)),x93603),x93604)))) % 194.45/194.27 [9377]~P22(x93772,x93771,x93773,f324(f324(f112(f928(x93772,a916)),x93774),x93775))+E(f324(f324(f103(f928(x93771,a916)),f324(f307(x93772,x93771,x93773),f324(f324(f3(f928(x93772,a916)),x93774),x93775))),f324(f307(x93772,x93771,x93773),f324(f324(f3(f928(x93772,a916)),x93775),x93774))),f189(f928(x93771,a916))) % 194.45/194.27 [9634]~P22(x96343,x96341,x96345,f242(f928(x96343,a916)))+E(f324(f72(x96341,x96342,x96343,f324(f72(x96343,x96342,x96341,x96344),f91(x96343,x96341,f242(f928(x96343,a916)),x96345))),x96345),x96344) % 194.45/194.27 [9665]~P1(f324(f324(f234(f928(x96653,a916)),f324(f283(x96651,x96653,x96654),x96652)),x96655))+P1(f324(f324(f234(f928(x96651,a916)),x96652),f324(f78(f928(x96651,a916)),f324(f283(x96653,x96651,f324(f284(x96651,x96653),x96654)),f324(f78(f928(x96653,a916)),x96655))))) % 194.45/194.27 [9690]~P22(x96901,x96902,x96903,f324(f324(f306(x96901),x96904),x96905))+~P1(f324(f324(f326(x96902),f324(x96903,x96904)),f324(f307(x96901,x96902,x96903),f324(f324(f3(f928(x96901,a916)),x96905),f324(f324(f306(x96901),x96904),f189(f928(x96901,a916))))))) % 194.45/194.27 [9743]P1(f324(f324(f234(f928(x97431,a916)),f324(f283(x97432,x97431,x97433),x97434)),x97435))+~P1(f324(f324(f234(f928(x97432,a916)),x97434),f324(f78(f928(x97432,a916)),f324(f283(x97431,x97432,f324(f284(x97432,x97431),x97433)),f324(f78(f928(x97431,a916)),x97435))))) % 194.45/194.27 [9817]~P95(x98171)+P1(f324(f324(f234(x98171),f324(f75(x98171),f324(f324(f3(x98171),f324(f324(f79(x98171),x98172),x98173)),f324(f324(f79(x98171),x98174),x98175)))),f324(f324(f79(x98171),f324(f75(x98171),f324(f324(f3(x98171),x98172),x98174))),f324(f75(x98171),f324(f324(f3(x98171),x98173),x98175))))) % 194.45/194.27 [9926]P1(f324(f324(f326(x99261),f429(x99262,x99263,x99264,x99261,x99265)),x99264))+P1(f324(f324(f234(f928(x99265,a916)),f324(f324(f40(x99261,f928(x99265,a916)),x99264),x99263)),x99262)) % 194.45/194.27 [10109]~P1(f324(f324(f234(f928(x101091,a916)),f324(x101094,f429(x101095,x101094,x101093,x101092,x101091))),x101095))+P1(f324(f324(f234(f928(x101091,a916)),f324(f324(f40(x101092,f928(x101091,a916)),x101093),x101094)),x101095)) % 194.45/194.27 [8709]E(f324(f324(f134(x87091),x87092),f324(f324(f159(x87091,x87093),f324(f324(f3(a920),x87094),f324(f190(f921(x87091)),x87092))),x87095)),f324(f324(f159(x87091,f324(f324(f134(x87091),x87092),x87093)),x87094),x87095))+P1(f324(f324(f235(a920),x87094),f324(f190(f921(x87091)),x87092))) % 194.45/194.27 [8737]~P142(x87371)+E(f324(f324(f79(x87371),f324(f324(f80(x87371),x87372),x87373)),f324(f324(f79(x87371),f324(f324(f80(x87371),x87374),x87373)),x87375)),f324(f324(f79(x87371),f324(f324(f80(x87371),f324(f324(f79(x87371),x87372),x87374)),x87373)),x87375)) % 194.45/194.27 [9330]~P146(x93301)+E(f324(f165(x93301),f324(f324(f154(x93302,x93301),f324(f324(f10(x93301,x93301,x93302),f324(f80(x93301),x93303)),x93304)),x93305)),f324(f324(f80(x93301),x93303),f324(f165(x93301),f324(f324(f154(x93302,x93301),x93304),x93305)))) % 194.45/194.27 [9506]E(f324(f190(f921(x95061)),f324(f324(f175(x95061),f324(f324(f188(a920),f324(f190(f921(x95061)),x95062)),f324(f190(f921(x95063)),x95064))),x95062)),f324(f190(f921(x95063)),f324(f324(f175(x95063),f324(f324(f188(a920),f324(f190(f921(x95061)),x95062)),f324(f190(f921(x95063)),x95064))),x95064)))+P1(f324(x95065,f324(f324(f181(x95061,x95063),x95062),x95064))) % 194.45/194.27 [9753]~P146(x97532)+E(f324(f324(f8(x97531,x97532),f324(f324(f9(x97531,x97532,x97532),f324(f324(f10(x97532,f928(x97532,x97532),x97531),f80(x97532)),x97533)),x97534)),x97535),f324(f324(f80(x97532),f324(f324(f8(x97531,x97532),x97533),x97535)),x97534)) % 194.45/194.27 [9754]~P71(x97542)+E(f324(f324(f8(x97541,x97542),f324(f324(f9(x97541,x97542,x97542),f324(f324(f10(x97542,f928(x97542,x97542),x97541),f287(x97542)),x97543)),x97544)),x97545),f324(f324(f287(x97542),f324(f324(f8(x97541,x97542),x97543),x97545)),x97544)) % 194.45/194.27 [9761]~P65(x97612)+E(f324(f324(f8(x97611,x97612),f324(f324(f20(x97611,x97612,x97612),f324(f324(f10(x97612,f928(x97612,x97612),x97611),f3(x97612)),x97613)),x97614)),x97615),f324(f324(f3(x97612),f324(f324(f8(x97611,x97612),x97613),x97615)),f324(f324(f8(x97611,x97612),x97614),x97615))) % 194.45/194.27 [9762]~P77(x97622)+E(f324(f324(f8(x97621,x97622),f324(f324(f20(x97621,x97622,x97622),f324(f324(f10(x97622,f928(x97622,x97622),x97621),f79(x97622)),x97623)),x97624)),x97625),f324(f324(f79(x97622),f324(f324(f8(x97621,x97622),x97623),x97625)),f324(f324(f8(x97621,x97622),x97624),x97625))) % 194.45/194.27 [9763]~P81(x97632)+E(f324(f324(f11(x97631,x97632),f324(f324(f20(x97631,x97632,x97632),f324(f324(f10(x97632,f928(x97632,x97632),x97631),f80(x97632)),x97633)),x97634)),x97635),f324(f324(f80(x97632),f324(f324(f11(x97631,x97632),x97633),x97635)),f324(f324(f11(x97631,x97632),x97634),x97635))) % 194.45/194.27 [9802]~E(x98023,f189(f928(x98021,a916)))+E(f324(f324(f39(x98021,f928(x98022,a916)),x98023),f324(f324(f9(x98021,f928(x98022,a916),f928(x98022,a916)),f324(f324(f10(f928(x98022,a916),f928(f928(x98022,a916),f928(x98022,a916)),x98021),f3(f928(x98022,a916))),x98024)),x98025)),f242(f928(x98022,a916))) % 194.45/194.27 [9803]~E(x98033,f189(f928(x98031,a916)))+E(f324(f324(f39(x98031,f928(x98032,a916)),x98033),f324(f324(f9(x98031,f928(x98032,a916),f928(x98032,a916)),f324(f324(f10(f928(x98032,a916),f928(f928(x98032,a916),f928(x98032,a916)),x98031),f103(f928(x98032,a916))),x98034)),x98035)),f242(f928(x98032,a916))) % 194.45/194.27 [9804]~E(x98043,f189(f928(x98041,a916)))+E(f324(f324(f40(x98041,f928(x98042,a916)),x98043),f324(f324(f9(x98041,f928(x98042,a916),f928(x98042,a916)),f324(f324(f10(f928(x98042,a916),f928(f928(x98042,a916),f928(x98042,a916)),x98041),f112(f928(x98042,a916))),x98044)),x98045)),f189(f928(x98042,a916))) % 194.45/194.27 [9825]E(x98251,f189(f928(x98252,a916)))+E(f324(f324(f39(x98252,f928(x98253,a916)),x98251),f324(f324(f9(x98252,f928(x98253,a916),f928(x98253,a916)),f324(f324(f10(f928(x98253,a916),f928(f928(x98253,a916),f928(x98253,a916)),x98252),f3(f928(x98253,a916))),x98254)),x98255)),f324(f324(f3(f928(x98253,a916)),f324(f324(f39(x98252,f928(x98253,a916)),x98251),x98254)),x98255)) % 194.45/194.27 [9826]E(x98261,f189(f928(x98262,a916)))+E(f324(f324(f39(x98262,f928(x98263,a916)),x98261),f324(f324(f9(x98262,f928(x98263,a916),f928(x98263,a916)),f324(f324(f10(f928(x98263,a916),f928(f928(x98263,a916),f928(x98263,a916)),x98262),f103(f928(x98263,a916))),x98264)),x98265)),f324(f324(f103(f928(x98263,a916)),f324(f324(f39(x98262,f928(x98263,a916)),x98261),x98264)),x98265)) % 194.45/194.27 [9827]E(x98271,f189(f928(x98272,a916)))+E(f324(f324(f40(x98272,f928(x98273,a916)),x98271),f324(f324(f9(x98272,f928(x98273,a916),f928(x98273,a916)),f324(f324(f10(f928(x98273,a916),f928(f928(x98273,a916),f928(x98273,a916)),x98272),f112(f928(x98273,a916))),x98274)),x98275)),f324(f324(f112(f928(x98273,a916)),f324(f324(f40(x98272,f928(x98273,a916)),x98271),x98274)),x98275)) % 194.45/194.27 [9382]~P1(f324(f324(f234(a920),x93821),x93824))+E(f324(f324(f3(a920),f324(f324(f79(a920),f324(f324(f80(a920),x93821),x93822)),x93823)),f324(f324(f79(a920),f324(f324(f80(a920),x93824),x93822)),x93825)),f324(f324(f3(a920),x93823),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x93824),x93821)),x93822)),x93825))) % 194.45/194.27 [9979]~P146(x99791)+E(f324(f165(x99791),f324(f324(f154(x99792,x99791),f324(f324(f9(x99792,x99791,x99791),f324(f324(f10(x99791,f928(x99791,x99791),x99792),f80(x99791)),x99793)),x99794)),x99795)),f324(f324(f80(x99791),f324(f165(x99791),f324(f324(f154(x99792,x99791),x99793),x99795))),x99794)) % 194.45/194.27 [9985]~P65(x99851)+E(f324(f165(x99851),f324(f324(f154(x99852,x99851),f324(f324(f20(x99852,x99851,x99851),f324(f324(f10(x99851,f928(x99851,x99851),x99852),f3(x99851)),x99853)),x99854)),x99855)),f324(f324(f3(x99851),f324(f165(x99851),f324(f324(f154(x99852,x99851),x99853),x99855))),f324(f165(x99851),f324(f324(f154(x99852,x99851),x99854),x99855)))) % 194.45/194.27 [9986]~P77(x99861)+E(f324(f165(x99861),f324(f324(f154(x99862,x99861),f324(f324(f20(x99862,x99861,x99861),f324(f324(f10(x99861,f928(x99861,x99861),x99862),f79(x99861)),x99863)),x99864)),x99865)),f324(f324(f79(x99861),f324(f165(x99861),f324(f324(f154(x99862,x99861),x99863),x99865))),f324(f165(x99861),f324(f324(f154(x99862,x99861),x99864),x99865)))) % 194.45/194.27 [10122]P1(f324(x101221,f324(f324(f181(x101222,x101223),x101224),x101225)))+~P1(f324(x101221,f324(f324(f181(x101222,x101223),f324(f324(f175(x101222),f324(f324(f188(a920),f324(f190(f921(x101222)),x101224)),f324(f190(f921(x101223)),x101225))),x101224)),f324(f324(f175(x101223),f324(f324(f188(a920),f324(f190(f921(x101222)),x101224)),f324(f190(f921(x101223)),x101225))),x101225)))) % 194.45/194.27 [10375]~P1(f324(f324(f326(f927(x103752,x103751)),f324(f324(f252(x103752,x103751),x103754),x103755)),f324(f284(x103751,x103752),x103753)))+P1(f324(f324(f243(x103751,x103752,f324(f324(f9(x103751,f928(f927(x103751,x103752),a916),f928(x103752,a916)),f324(f324(f10(f928(x103752,f928(f928(f927(x103751,x103752),a916),a916)),f928(f928(f927(x103751,x103752),a916),f928(x103752,a916)),x103751),f9(x103752,f928(f927(x103751,x103752),a916),a916)),f324(f324(f10(f928(x103752,f927(x103751,x103752)),f928(x103752,f928(f928(f927(x103751,x103752),a916),a916)),x103751),f324(f10(f927(x103751,x103752),f928(f928(f927(x103751,x103752),a916),a916),x103752),f326(f927(x103751,x103752)))),f252(x103751,x103752)))),x103753)),x103754),x103755)) % 194.45/194.27 [10387]P1(f324(f324(f326(f927(x103871,x103872)),f324(f324(f252(x103871,x103872),x103873),x103874)),f324(f284(x103872,x103871),x103875)))+~P1(f324(f324(f243(x103872,x103871,f324(f324(f9(x103872,f928(f927(x103872,x103871),a916),f928(x103871,a916)),f324(f324(f10(f928(x103871,f928(f928(f927(x103872,x103871),a916),a916)),f928(f928(f927(x103872,x103871),a916),f928(x103871,a916)),x103872),f9(x103871,f928(f927(x103872,x103871),a916),a916)),f324(f324(f10(f928(x103871,f927(x103872,x103871)),f928(x103871,f928(f928(f927(x103872,x103871),a916),a916)),x103872),f324(f10(f927(x103872,x103871),f928(f928(f927(x103872,x103871),a916),a916),x103871),f326(f927(x103872,x103871)))),f252(x103872,x103871)))),x103875)),x103873),x103874)) % 194.45/194.27 [9633]~P1(f324(f324(f234(a920),x96334),x96331))+E(f324(f324(f3(a920),f324(f324(f79(a920),f324(f324(f80(a920),x96331),x96332)),x96333)),f324(f324(f79(a920),f324(f324(f80(a920),x96334),x96332)),x96335)),f324(f324(f3(a920),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x96331),x96334)),x96332)),x96333)),x96335)) % 194.45/194.27 [5396]E(x53961,x53962)+~E(f27(x53963,x53964,x53961),f27(x53965,x53966,x53962)) % 194.45/194.27 [5397]E(x53971,x53972)+~E(f27(x53973,x53971,x53974),f27(x53975,x53972,x53976)) % 194.45/194.27 [5398]E(x53981,x53982)+~E(f27(x53981,x53983,x53984),f27(x53982,x53985,x53986)) % 194.45/194.27 [5399]E(x53991,x53992)+~E(f26(x53993,x53994,x53991),f26(x53995,x53996,x53992)) % 194.45/194.27 [5400]E(x54001,x54002)+~E(f26(x54003,x54001,x54004),f26(x54005,x54002,x54006)) % 194.45/194.27 [5401]E(x54011,x54012)+~E(f26(x54011,x54013,x54014),f26(x54012,x54015,x54016)) % 194.45/194.27 [7411]E(x74111,x74112)+~E(f221(x74113,x74114,x74115,x74111),f221(x74113,x74114,x74116,x74112)) % 194.45/194.27 [7412]E(x74121,x74122)+~E(f221(x74123,x74124,x74121,x74125),f221(x74123,x74124,x74122,x74126)) % 194.45/194.27 [8543]~P17(x85435,x85431,x85432,x85436)+E(f324(f72(x85431,x85431,x85431,f324(x85432,x85433)),f324(x85432,x85434)),f324(f72(x85431,x85431,x85431,f324(x85432,x85434)),f324(x85432,x85433))) % 194.45/194.27 [8781]~P57(x87814,x87815,x87812,x87811,x87816)+E(f324(x87811,f324(x87812,x87813)),x87813) % 194.45/194.27 [8947]P22(x89471,x89472,x89473,x89474)+~P22(x89471,x89475,f324(f72(x89472,x89475,x89471,x89476),x89473),x89474) % 194.45/194.27 [9020]~E(x90206,x90204)+E(f324(f74(x90201,x90202,x90203,x90204,x90205),x90206),x90205) % 194.45/194.27 [9027]E(x90271,x90272)+E(f324(f74(x90273,x90274,x90275,x90272,x90276),x90271),f324(x90275,x90271)) % 194.45/194.27 [9039]~P22(x90394,x90392,f324(f72(x90391,x90392,x90394,x90393),x90395),x90396)+P22(x90391,x90392,x90393,f324(f307(x90394,x90391,x90395),x90396)) % 194.45/194.27 [9764]P1(f324(f61(x97641),x97642))+~P1(f324(f66(x97641,x97643,x97644,x97645,x97642),x97646)) % 194.45/194.27 [9773]~P1(f324(f324(f326(x97734),x97733),f297(x97734,x97735,x97731,x97732,x97736)))+P1(f324(f324(x97731,x97732),x97733)) % 194.45/194.27 [9774]~P1(f324(f324(f326(x97744),x97743),f294(x97744,x97741,x97745,x97742,x97746)))+P1(f324(f324(x97741,x97742),x97743)) % 194.45/194.27 [9775]~P1(f324(f324(f326(x97754),x97752),f297(x97754,x97751,x97755,x97756,x97753)))+P1(f324(f324(x97751,x97752),x97753)) % 194.45/194.27 [9776]~P1(f324(f324(f326(x97764),x97762),f294(x97764,x97765,x97761,x97766,x97763)))+P1(f324(f324(x97761,x97762),x97763)) % 194.45/194.27 [5905]E(x59051,x59052)+~E(f324(f324(f252(x59053,x59054),x59055),x59051),f324(f324(f252(x59053,x59054),x59056),x59052)) % 194.45/194.27 [5907]E(x59071,x59072)+~E(f324(f324(f252(x59073,x59074),x59071),x59075),f324(f324(f252(x59073,x59074),x59072),x59076)) % 194.45/194.27 [6041]~P14(x60415,x60416,x60411)+E(f324(f324(x60411,x60412),f324(f324(x60411,x60413),x60414)),f324(f324(x60411,x60413),f324(f324(x60411,x60412),x60414))) % 194.45/194.27 [7478]~P30(x74784,x74781,f324(f324(f151(x74784),x74782),x74785),f324(f324(f151(x74784),x74783),x74786))+P1(f324(f324(x74781,x74782),x74783)) % 194.45/194.27 [7837]P30(x78371,x78372,x78373,x78374)+~P30(x78371,x78372,f324(f324(f151(x78371),x78375),x78373),f324(f324(f151(x78371),x78376),x78374)) % 194.45/194.27 [8884]~P57(x88845,x88841,x88842,x88846,x88844)+P1(f324(f324(f326(x88841),f324(x88842,x88843)),x88844)) % 194.45/194.27 [9089]~E(x90893,f324(f324(f151(x90891),x90895),x90896))+P1(f324(f324(f326(f927(f921(x90891),f921(x90891))),f324(f324(f252(f921(x90891),f921(x90891)),x90892),f324(f324(f134(x90891),x90892),x90893))),f147(x90891,x90894))) % 194.45/194.27 [9336]~P32(x93361,x93362,x93363,x93365,x93366)+P32(x93361,x93362,x93363,f324(f324(f175(x93361),x93364),x93365),f324(f324(f175(x93362),x93364),x93366)) % 194.45/194.27 [9337]~P32(x93371,x93372,x93373,x93375,x93376)+P32(x93371,x93372,x93373,f324(f324(f138(x93371),x93374),x93375),f324(f324(f138(x93372),x93374),x93376)) % 194.45/194.27 [9599]E(f324(f307(x95991,x95992,f74(x95991,x95992,x95993,x95994,x95995)),x95996),f324(f307(x95991,x95992,x95993),x95996))+P1(f324(f324(f326(x95991),x95994),x95996)) % 194.45/194.27 [9602]E(f324(f324(f154(x96021,x96022),f74(x96021,x96022,x96023,x96024,x96025)),x96026),f324(f324(f154(x96021,x96022),x96023),x96026))+P1(f324(f324(f326(x96021),x96024),f324(f172(x96021),x96026))) % 194.45/194.27 [9837]~P21(x98374,x98372,x98375,x98373,x98376,x98371)+E(f324(x98371,f189(f928(x98372,a916))),x98373) % 194.45/194.27 [10073]~E(f324(x100734,f324(f251(x100731,x100733),x100735)),f324(x100736,f324(f251(x100731,x100733),x100735)))+E(f324(f258(x100731,x100732,x100733,x100733,x100734,f31(x100733)),x100735),f324(f258(x100731,x100732,x100733,x100733,x100736,f31(x100733)),x100735)) % 194.45/194.27 [10074]~E(f324(x100744,f324(f256(x100741,x100742),x100745)),f324(x100746,f324(f256(x100741,x100742),x100745)))+E(f324(f258(x100741,x100741,x100742,x100743,f31(x100741),x100744),x100745),f324(f258(x100741,x100741,x100742,x100743,f31(x100741),x100746),x100745)) % 194.45/194.27 [10118]~E(f324(f258(x101182,x101186,x101183,x101183,x101181,f31(x101183)),x101184),f324(f258(x101182,x101186,x101183,x101183,x101185,f31(x101183)),x101184))+E(f324(x101181,f324(f251(x101182,x101183),x101184)),f324(x101185,f324(f251(x101182,x101183),x101184))) % 194.45/194.27 [10119]~E(f324(f258(x101192,x101192,x101193,x101196,f31(x101192),x101191),x101194),f324(f258(x101192,x101192,x101193,x101196,f31(x101192),x101195),x101194))+E(f324(x101191,f324(f256(x101192,x101193),x101194)),f324(x101195,f324(f256(x101192,x101193),x101194))) % 194.45/194.27 [8987]P1(f324(f324(f326(x89871),x89872),x89873))+~P1(f324(f324(f326(f927(x89871,x89874)),f324(f324(f252(x89871,x89874),x89872),x89875)),f324(f324(f254(x89871,x89874),x89873),x89876))) % 194.45/194.27 [9003]P1(f324(f324(f326(x90031),x90032),f324(x90033,x90034)))+~P1(f324(f324(f326(f927(x90035,x90031)),f324(f324(f252(x90035,x90031),x90034),x90032)),f324(f324(f254(x90035,x90031),x90036),x90033))) % 194.45/194.27 [9454]P1(f324(f324(f326(f927(x94541,x94541)),f324(f324(f252(x94541,x94541),f324(x94542,x94543)),f324(x94542,x94544))),x94545))+~P1(f324(f324(f326(f927(x94546,x94546)),f324(f324(f252(x94546,x94546),x94543),x94544)),f324(f324(f285(x94541,x94546),x94545),x94542))) % 194.45/194.27 [9475]~P1(f324(f324(f326(f927(x94754,x94754)),f324(f324(f252(x94754,x94754),f324(x94756,x94752)),f324(x94756,x94753))),x94755))+P1(f324(f324(f326(f927(x94751,x94751)),f324(f324(f252(x94751,x94751),x94752),x94753)),f324(f324(f285(x94754,x94751),x94755),x94756))) % 194.45/194.27 [10121]E(f324(f324(f252(x101211,x101212),f679(x101213,x101214,x101215,x101216,x101212,x101211)),f680(x101213,x101214,x101215,x101216,x101212,x101211)),x101216)+~P1(f324(f324(f326(f927(x101211,x101212)),x101216),f324(f324(f286(x101211,x101215,x101212),x101214),x101213))) % 194.45/194.27 [10333]~P1(f324(f324(f326(f927(x103331,x103336)),x103335),f324(f324(f286(x103331,x103332,x103336),x103334),x103333)))+P1(f324(f324(f326(f927(x103331,x103332)),f324(f324(f252(x103331,x103332),f679(x103333,x103334,x103332,x103335,x103336,x103331)),f681(x103333,x103334,x103332,x103335,x103336,x103331))),x103334)) % 194.45/194.27 [10334]~P1(f324(f324(f326(f927(x103346,x103342)),x103345),f324(f324(f286(x103346,x103341,x103342),x103344),x103343)))+P1(f324(f324(f326(f927(x103341,x103342)),f324(f324(f252(x103341,x103342),f681(x103343,x103344,x103341,x103345,x103342,x103346)),f680(x103343,x103344,x103341,x103345,x103342,x103346))),x103343)) % 194.45/194.27 [7907]~P2(x79072)+E(f324(f324(f39(x79071,x79072),x79073),f324(f324(f9(x79071,x79074,x79072),x79075),x79076)),f324(f324(f324(f39(x79071,f928(x79074,x79072)),x79073),x79075),x79076)) % 194.45/194.27 [7908]~P2(x79082)+E(f324(f324(f40(x79081,x79082),x79083),f324(f324(f9(x79081,x79084,x79082),x79085),x79086)),f324(f324(f324(f40(x79081,f928(x79084,x79082)),x79083),x79085),x79086)) % 194.45/194.27 [8692]E(f324(f324(f40(x86921,f928(x86922,a916)),x86923),f324(f324(f10(f928(x86922,a916),f928(x86922,a916),x86921),f324(f306(x86922),x86924)),x86925)),f324(f324(f306(x86922),x86924),f324(f324(f40(x86921,f928(x86922,a916)),x86923),x86925)))+~P1(f324(f324(f326(x86921),x86926),x86923)) % 194.45/194.27 [9142]~P2(x91422)+E(f324(f324(f39(x91421,x91422),x91423),f324(f324(f10(f928(x91424,x91422),x91422,x91421),f324(f39(x91424,x91422),x91425)),f324(f9(x91424,x91421,x91422),x91426))),f324(f324(f39(x91424,x91422),x91425),f324(f324(f10(f928(x91421,x91422),x91422,x91424),f324(f39(x91421,x91422),x91423)),x91426))) % 194.45/194.27 [9143]~P2(x91432)+E(f324(f324(f40(x91431,x91432),x91433),f324(f324(f10(f928(x91434,x91432),x91432,x91431),f324(f40(x91434,x91432),x91435)),f324(f9(x91434,x91431,x91432),x91436))),f324(f324(f40(x91434,x91432),x91435),f324(f324(f10(f928(x91431,x91432),x91432,x91434),f324(f40(x91431,x91432),x91433)),x91436))) % 194.45/194.27 [9364]P1(f324(f324(f326(x93641),x93642),f324(f172(x93641),x93643)))+~P1(f324(f324(f326(f927(x93644,x93641)),f324(f324(f252(x93644,x93641),x93645),x93642)),f324(f172(f927(x93644,x93641)),f324(f324(f181(x93644,x93641),x93646),x93643)))) % 194.45/194.27 [9365]P1(f324(f324(f326(x93651),x93652),f324(f172(x93651),x93653)))+~P1(f324(f324(f326(f927(x93651,x93654)),f324(f324(f252(x93651,x93654),x93652),x93655)),f324(f172(f927(x93651,x93654)),f324(f324(f181(x93651,x93654),x93653),x93656)))) % 194.45/194.27 [9471]P1(f324(f324(f234(f928(x94711,a916)),f324(f283(x94712,x94711,x94713),x94714)),x94715))+~P1(f324(f324(f234(f928(f927(x94712,x94711),a916)),x94713),f324(f324(f254(x94712,x94711),x94716),f324(f18(f928(x94711,a916),x94712),x94715)))) % 194.45/194.27 [9476]~P23(x94764,x94762,x94765,f242(f928(x94764,a916)),f242(f928(x94762,a916)))+E(f324(f324(f39(x94761,f928(x94762,a916)),x94763),f324(f324(f10(f928(x94764,a916),f928(x94762,a916),x94761),f307(x94764,x94762,x94765)),x94766)),f324(f307(x94764,x94762,x94765),f324(f324(f39(x94761,f928(x94764,a916)),x94763),x94766))) % 194.45/194.27 [9668]P1(f324(f324(f326(f927(f921(x96681),f921(x96681))),f324(f324(f252(f921(x96681),f921(x96681)),f324(f324(f151(x96681),x96682),x96683)),f324(f324(f151(x96681),x96684),x96685))),f147(x96681,x96686)))+~P1(f324(f324(f326(f927(x96681,x96681)),f324(f324(f252(x96681,x96681),x96682),x96684)),x96686)) % 194.45/194.27 [10117]E(f324(f324(f252(x101171,x101172),f619(x101173,x101174,x101175,x101172,x101171,x101176)),f622(x101173,x101174,x101175,x101172,x101171,x101176)),x101176)+P1(f324(f324(f326(x101175),x101174),f324(f324(f257(x101171,x101172,f928(x101175,a916)),x101173),x101176))) % 194.45/194.27 [10123]E(f324(f324(f252(x101231,x101232),f620(x101233,x101234,x101232,x101231,x101235,x101236)),f621(x101233,x101234,x101232,x101231,x101235,x101236)),x101233)+~P1(f324(f324(f326(x101236),x101235),f324(f324(f257(x101231,x101232,f928(x101236,a916)),x101234),x101233))) % 194.45/194.27 [10284]P1(f324(f324(f326(x102841),x102842),f324(f324(x102843,f620(x102844,x102843,x102845,x102846,x102842,x102841)),f621(x102844,x102843,x102845,x102846,x102842,x102841))))+~P1(f324(f324(f326(x102841),x102842),f324(f324(f257(x102846,x102845,f928(x102841,a916)),x102843),x102844))) % 194.45/194.27 [10308]~P1(f324(f324(f326(x103081),x103082),f324(f324(x103085,f619(x103085,x103082,x103081,x103084,x103083,x103086)),f622(x103085,x103082,x103081,x103084,x103083,x103086))))+P1(f324(f324(f326(x103081),x103082),f324(f324(f257(x103083,x103084,f928(x103081,a916)),x103085),x103086))) % 194.45/194.27 [8588]E(x85881,x85882)+E(f324(f324(f159(x85883,f324(f324(f159(x85883,x85884),x85881),x85885)),x85882),x85886),f324(f324(f159(x85883,f324(f324(f159(x85883,x85884),x85882),x85886)),x85881),x85885)) % 194.45/194.27 [9728]~P1(f324(f324(f326(x97283),x97286),x97285))+E(f324(f324(f306(x97281),x97282),f324(f307(x97283,x97281,x97284),f324(f324(f3(f928(x97283,a916)),x97285),f324(f324(f306(x97283),x97286),f189(f928(x97283,a916)))))),f324(f307(x97283,x97281,f74(x97283,x97281,x97284,x97286,x97282)),x97285)) % 194.45/194.27 [9224]~P1(f324(f324(x92244,x92245),x92246))+P1(f324(f324(f324(f324(f112(f928(x92241,f928(x92242,a916))),x92243),x92244),x92245),x92246)) % 194.45/194.27 [9226]~P1(f324(f324(x92263,x92265),x92266))+P1(f324(f324(f324(f324(f112(f928(x92261,f928(x92262,a916))),x92263),x92264),x92265),x92266)) % 194.45/194.27 [9527]P1(f324(f324(x95271,x95272),x95273))+~P1(f324(f324(f324(f324(f103(f928(x95274,f928(x95275,a916))),x95276),x95271),x95272),x95273)) % 194.45/194.27 [9528]P1(f324(f324(x95281,x95282),x95283))+~P1(f324(f324(f324(f324(f103(f928(x95284,f928(x95285,a916))),x95281),x95286),x95282),x95283)) % 194.45/194.27 [9967]~P77(x99672)+E(f324(f324(f8(x99671,x99672),f324(f324(f9(x99671,f928(x99673,a916),x99672),f324(f324(f10(f928(x99673,x99672),f928(f928(x99673,a916),x99672),x99671),f8(x99673,x99672)),x99674)),x99675)),x99676),f324(f324(f8(f927(x99671,x99673),x99672),f324(f257(x99671,x99673,x99672),x99674)),f324(f324(f254(x99671,x99673),x99676),f324(f18(f928(x99673,a916),x99671),x99675)))) % 194.45/194.27 [9968]~P81(x99682)+E(f324(f324(f11(x99681,x99682),f324(f324(f9(x99681,f928(x99683,a916),x99682),f324(f324(f10(f928(x99683,x99682),f928(f928(x99683,a916),x99682),x99681),f11(x99683,x99682)),x99684)),x99685)),x99686),f324(f324(f11(f927(x99681,x99683),x99682),f324(f257(x99681,x99683,x99682),x99684)),f324(f324(f254(x99681,x99683),x99686),f324(f18(f928(x99683,a916),x99681),x99685)))) % 194.45/194.27 [10100]~P77(x101002)+E(f324(f324(f8(x101001,x101002),f324(f324(f9(x101001,f928(x101003,a916),x101002),f324(f324(f10(f928(x101003,x101002),f928(f928(x101003,a916),x101002),x101001),f8(x101003,x101002)),f324(f9(x101003,x101001,x101002),x101004))),x101005)),x101006),f324(f324(f8(x101003,x101002),f324(f324(f9(x101003,f928(x101001,a916),x101002),f324(f324(f10(f928(x101001,x101002),f928(f928(x101001,a916),x101002),x101003),f8(x101001,x101002)),x101004)),x101006)),x101005)) % 194.45/194.27 [10397]~P1(f324(f324(f326(f927(x103971,x103972)),f324(f324(f252(x103971,x103972),x103975),x103976)),f324(f324(f103(f928(f927(x103971,x103972),a916)),x103973),x103974)))+P1(f324(f324(f324(f324(f103(f928(x103971,f928(x103972,a916))),f324(f324(f9(x103971,f928(f927(x103971,x103972),a916),f928(x103972,a916)),f324(f324(f10(f928(x103972,f928(f928(f927(x103971,x103972),a916),a916)),f928(f928(f927(x103971,x103972),a916),f928(x103972,a916)),x103971),f9(x103972,f928(f927(x103971,x103972),a916),a916)),f324(f324(f10(f928(x103972,f927(x103971,x103972)),f928(x103972,f928(f928(f927(x103971,x103972),a916),a916)),x103971),f324(f10(f927(x103971,x103972),f928(f928(f927(x103971,x103972),a916),a916),x103972),f326(f927(x103971,x103972)))),f252(x103971,x103972)))),x103973)),f324(f324(f9(x103971,f928(f927(x103971,x103972),a916),f928(x103972,a916)),f324(f324(f10(f928(x103972,f928(f928(f927(x103971,x103972),a916),a916)),f928(f928(f927(x103971,x103972),a916),f928(x103972,a916)),x103971),f9(x103972,f928(f927(x103971,x103972),a916),a916)),f324(f324(f10(f928(x103972,f927(x103971,x103972)),f928(x103972,f928(f928(f927(x103971,x103972),a916),a916)),x103971),f324(f10(f927(x103971,x103972),f928(f928(f927(x103971,x103972),a916),a916),x103972),f326(f927(x103971,x103972)))),f252(x103971,x103972)))),x103974)),x103975),x103976)) % 194.45/194.27 [10398]~P1(f324(f324(f326(f927(x103981,x103982)),f324(f324(f252(x103981,x103982),x103985),x103986)),f324(f324(f112(f928(f927(x103981,x103982),a916)),x103983),x103984)))+P1(f324(f324(f324(f324(f112(f928(x103981,f928(x103982,a916))),f324(f324(f9(x103981,f928(f927(x103981,x103982),a916),f928(x103982,a916)),f324(f324(f10(f928(x103982,f928(f928(f927(x103981,x103982),a916),a916)),f928(f928(f927(x103981,x103982),a916),f928(x103982,a916)),x103981),f9(x103982,f928(f927(x103981,x103982),a916),a916)),f324(f324(f10(f928(x103982,f927(x103981,x103982)),f928(x103982,f928(f928(f927(x103981,x103982),a916),a916)),x103981),f324(f10(f927(x103981,x103982),f928(f928(f927(x103981,x103982),a916),a916),x103982),f326(f927(x103981,x103982)))),f252(x103981,x103982)))),x103983)),f324(f324(f9(x103981,f928(f927(x103981,x103982),a916),f928(x103982,a916)),f324(f324(f10(f928(x103982,f928(f928(f927(x103981,x103982),a916),a916)),f928(f928(f927(x103981,x103982),a916),f928(x103982,a916)),x103981),f9(x103982,f928(f927(x103981,x103982),a916),a916)),f324(f324(f10(f928(x103982,f927(x103981,x103982)),f928(x103982,f928(f928(f927(x103981,x103982),a916),a916)),x103981),f324(f10(f927(x103981,x103982),f928(f928(f927(x103981,x103982),a916),a916),x103982),f326(f927(x103981,x103982)))),f252(x103981,x103982)))),x103984)),x103985),x103986)) % 194.45/194.27 [10405]P1(f324(f324(f326(f927(x104051,x104052)),f324(f324(f252(x104051,x104052),x104053),x104054)),f324(f324(f103(f928(f927(x104051,x104052),a916)),x104055),x104056)))+~P1(f324(f324(f324(f324(f103(f928(x104051,f928(x104052,a916))),f324(f324(f9(x104051,f928(f927(x104051,x104052),a916),f928(x104052,a916)),f324(f324(f10(f928(x104052,f928(f928(f927(x104051,x104052),a916),a916)),f928(f928(f927(x104051,x104052),a916),f928(x104052,a916)),x104051),f9(x104052,f928(f927(x104051,x104052),a916),a916)),f324(f324(f10(f928(x104052,f927(x104051,x104052)),f928(x104052,f928(f928(f927(x104051,x104052),a916),a916)),x104051),f324(f10(f927(x104051,x104052),f928(f928(f927(x104051,x104052),a916),a916),x104052),f326(f927(x104051,x104052)))),f252(x104051,x104052)))),x104055)),f324(f324(f9(x104051,f928(f927(x104051,x104052),a916),f928(x104052,a916)),f324(f324(f10(f928(x104052,f928(f928(f927(x104051,x104052),a916),a916)),f928(f928(f927(x104051,x104052),a916),f928(x104052,a916)),x104051),f9(x104052,f928(f927(x104051,x104052),a916),a916)),f324(f324(f10(f928(x104052,f927(x104051,x104052)),f928(x104052,f928(f928(f927(x104051,x104052),a916),a916)),x104051),f324(f10(f927(x104051,x104052),f928(f928(f927(x104051,x104052),a916),a916),x104052),f326(f927(x104051,x104052)))),f252(x104051,x104052)))),x104056)),x104053),x104054)) % 194.45/194.27 [10406]P1(f324(f324(f326(f927(x104061,x104062)),f324(f324(f252(x104061,x104062),x104063),x104064)),f324(f324(f112(f928(f927(x104061,x104062),a916)),x104065),x104066)))+~P1(f324(f324(f324(f324(f112(f928(x104061,f928(x104062,a916))),f324(f324(f9(x104061,f928(f927(x104061,x104062),a916),f928(x104062,a916)),f324(f324(f10(f928(x104062,f928(f928(f927(x104061,x104062),a916),a916)),f928(f928(f927(x104061,x104062),a916),f928(x104062,a916)),x104061),f9(x104062,f928(f927(x104061,x104062),a916),a916)),f324(f324(f10(f928(x104062,f927(x104061,x104062)),f928(x104062,f928(f928(f927(x104061,x104062),a916),a916)),x104061),f324(f10(f927(x104061,x104062),f928(f928(f927(x104061,x104062),a916),a916),x104062),f326(f927(x104061,x104062)))),f252(x104061,x104062)))),x104065)),f324(f324(f9(x104061,f928(f927(x104061,x104062),a916),f928(x104062,a916)),f324(f324(f10(f928(x104062,f928(f928(f927(x104061,x104062),a916),a916)),f928(f928(f927(x104061,x104062),a916),f928(x104062,a916)),x104061),f9(x104062,f928(f927(x104061,x104062),a916),a916)),f324(f324(f10(f928(x104062,f927(x104061,x104062)),f928(x104062,f928(f928(f927(x104061,x104062),a916),a916)),x104061),f324(f10(f927(x104061,x104062),f928(f928(f927(x104061,x104062),a916),a916),x104062),f326(f927(x104061,x104062)))),f252(x104061,x104062)))),x104066)),x104063),x104064)) % 194.45/194.27 [10393]~P1(f324(f324(f326(f927(x103932,x103933)),f324(f324(f252(x103932,x103933),x103935),x103936)),f324(f324(f39(x103931,f928(f927(x103932,x103933),a916)),f242(f928(x103931,a916))),x103934)))+P1(f324(f324(f324(f324(f39(x103931,f928(x103932,f928(x103933,a916))),f242(f928(x103931,a916))),f324(f324(f10(f928(f927(x103932,x103933),a916),f928(x103932,f928(x103933,a916)),x103931),f324(f9(x103932,f928(f927(x103932,x103933),a916),f928(x103933,a916)),f324(f324(f10(f928(x103933,f928(f928(f927(x103932,x103933),a916),a916)),f928(f928(f927(x103932,x103933),a916),f928(x103933,a916)),x103932),f9(x103933,f928(f927(x103932,x103933),a916),a916)),f324(f324(f10(f928(x103933,f927(x103932,x103933)),f928(x103933,f928(f928(f927(x103932,x103933),a916),a916)),x103932),f324(f10(f927(x103932,x103933),f928(f928(f927(x103932,x103933),a916),a916),x103933),f326(f927(x103932,x103933)))),f252(x103932,x103933))))),x103934)),x103935),x103936)) % 194.45/194.27 [10394]~P1(f324(f324(f326(f927(x103942,x103943)),f324(f324(f252(x103942,x103943),x103945),x103946)),f324(f324(f40(x103941,f928(f927(x103942,x103943),a916)),f242(f928(x103941,a916))),x103944)))+P1(f324(f324(f324(f324(f40(x103941,f928(x103942,f928(x103943,a916))),f242(f928(x103941,a916))),f324(f324(f10(f928(f927(x103942,x103943),a916),f928(x103942,f928(x103943,a916)),x103941),f324(f9(x103942,f928(f927(x103942,x103943),a916),f928(x103943,a916)),f324(f324(f10(f928(x103943,f928(f928(f927(x103942,x103943),a916),a916)),f928(f928(f927(x103942,x103943),a916),f928(x103943,a916)),x103942),f9(x103943,f928(f927(x103942,x103943),a916),a916)),f324(f324(f10(f928(x103943,f927(x103942,x103943)),f928(x103943,f928(f928(f927(x103942,x103943),a916),a916)),x103942),f324(f10(f927(x103942,x103943),f928(f928(f927(x103942,x103943),a916),a916),x103943),f326(f927(x103942,x103943)))),f252(x103942,x103943))))),x103944)),x103945),x103946)) % 194.45/194.27 [10402]P1(f324(f324(f326(f927(x104021,x104022)),f324(f324(f252(x104021,x104022),x104023),x104024)),f324(f324(f39(x104025,f928(f927(x104021,x104022),a916)),f242(f928(x104025,a916))),x104026)))+~P1(f324(f324(f324(f324(f39(x104025,f928(x104021,f928(x104022,a916))),f242(f928(x104025,a916))),f324(f324(f10(f928(f927(x104021,x104022),a916),f928(x104021,f928(x104022,a916)),x104025),f324(f9(x104021,f928(f927(x104021,x104022),a916),f928(x104022,a916)),f324(f324(f10(f928(x104022,f928(f928(f927(x104021,x104022),a916),a916)),f928(f928(f927(x104021,x104022),a916),f928(x104022,a916)),x104021),f9(x104022,f928(f927(x104021,x104022),a916),a916)),f324(f324(f10(f928(x104022,f927(x104021,x104022)),f928(x104022,f928(f928(f927(x104021,x104022),a916),a916)),x104021),f324(f10(f927(x104021,x104022),f928(f928(f927(x104021,x104022),a916),a916),x104022),f326(f927(x104021,x104022)))),f252(x104021,x104022))))),x104026)),x104023),x104024)) % 194.45/194.27 [10403]P1(f324(f324(f326(f927(x104031,x104032)),f324(f324(f252(x104031,x104032),x104033),x104034)),f324(f324(f40(x104035,f928(f927(x104031,x104032),a916)),f242(f928(x104035,a916))),x104036)))+~P1(f324(f324(f324(f324(f40(x104035,f928(x104031,f928(x104032,a916))),f242(f928(x104035,a916))),f324(f324(f10(f928(f927(x104031,x104032),a916),f928(x104031,f928(x104032,a916)),x104035),f324(f9(x104031,f928(f927(x104031,x104032),a916),f928(x104032,a916)),f324(f324(f10(f928(x104032,f928(f928(f927(x104031,x104032),a916),a916)),f928(f928(f927(x104031,x104032),a916),f928(x104032,a916)),x104031),f9(x104032,f928(f927(x104031,x104032),a916),a916)),f324(f324(f10(f928(x104032,f927(x104031,x104032)),f928(x104032,f928(f928(f927(x104031,x104032),a916),a916)),x104031),f324(f10(f927(x104031,x104032),f928(f928(f927(x104031,x104032),a916),a916),x104032),f326(f927(x104031,x104032)))),f252(x104031,x104032))))),x104036)),x104033),x104034)) % 194.45/194.27 [7586]E(f324(x75861,f324(x75862,x75863)),f324(x75864,x75863))+~E(f324(f72(x75865,x75866,x75867,x75861),x75862),x75864) % 194.45/194.27 [9744]E(x97441,x97442)+E(f74(x97443,x97444,f74(x97443,x97444,x97445,x97441,x97446),x97442,x97447),f74(x97443,x97444,f74(x97443,x97444,x97445,x97442,x97447),x97441,x97446)) % 194.45/194.27 [9836]~P20(x98363,x98364,x98361,x98365,x98366,x98367)+E(f324(f324(x98361,x98362),x98362),x98362) % 194.45/194.27 [6144]~E(f324(f324(f154(x61441,x61445),x61446),x61442),f324(f324(f154(x61443,x61445),x61447),x61444))+E(f324(f190(f921(x61441)),x61442),f324(f190(f921(x61443)),x61444)) % 194.45/194.27 [8621]E(f324(x86211,f324(x86212,x86213)),f324(x86214,x86213))+~E(f324(f72(x86215,x86216,x86217,x86211),x86212),f324(f72(x86216,x86216,x86217,f31(x86216)),x86214)) % 194.45/194.27 [8976]~P32(x89764,x89765,x89761,f324(f324(f151(x89764),x89762),x89766),f324(f324(f151(x89765),x89763),x89767))+P1(f324(f324(x89761,x89762),x89763)) % 194.45/194.27 [9371]P32(x93711,x93712,x93713,x93714,x93715)+~P32(x93711,x93712,x93713,f324(f324(f151(x93711),x93716),x93714),f324(f324(f151(x93712),x93717),x93715)) % 194.45/194.27 [10001]P1(f324(f324(x100011,x100012),f595(x100013,x100012,x100014,x100011)))+~P1(f324(f324(f253(x100015,x100016,x100017,x100011,x100014),x100012),x100013)) % 194.45/194.27 [10024]P1(f324(f324(x100241,f595(x100242,x100243,x100241,x100244)),x100242))+~P1(f324(f324(f253(x100245,x100246,x100247,x100244,x100241),x100243),x100242)) % 194.45/194.27 [6190]E(x61901,x61902)+~E(f324(f324(f324(f90(x61903),x61904),x61905),x61901),f324(f324(f324(f90(x61903),x61906),x61907),x61902)) % 194.45/194.27 [6191]E(x61911,x61912)+~E(f324(f324(f324(f90(x61913),x61914),x61911),x61915),f324(f324(f324(f90(x61913),x61916),x61912),x61917)) % 194.45/194.27 [6192]E(x61921,x61922)+~E(f324(f324(f324(f90(x61923),x61921),x61924),x61925),f324(f324(f324(f90(x61923),x61922),x61926),x61927)) % 194.45/194.27 [9096]~P18(x90966,x90961,x90963,x90967)+E(f324(f72(x90961,x90961,x90962,f324(x90963,x90964)),f324(f72(x90961,x90961,x90962,f324(x90963,x90964)),x90965)),f324(f72(x90961,x90961,x90962,f324(x90963,x90964)),x90965)) % 194.45/194.27 [9479]~P32(x94793,x94792,x94794,f324(f324(f154(x94791,x94793),x94795),x94796),x94797)+P32(x94791,x94792,f324(f324(f10(x94793,f928(x94792,a916),x94791),x94794),x94795),x94796,x94797) % 194.45/194.27 [9503]P32(x95031,x95032,x95033,f324(f324(f154(x95034,x95031),x95035),x95036),x95037)+~P32(x95034,x95032,f324(f324(f10(x95031,f928(x95032,a916),x95034),x95033),x95035),x95036,x95037) % 194.45/194.27 [9095]~P1(f324(f324(f326(x90951),x90952),f324(f324(x90955,x90956),x90957)))+P1(f324(f324(f326(x90951),x90952),f324(f324(f257(x90953,x90954,f928(x90951,a916)),x90955),f324(f324(f252(x90953,x90954),x90956),x90957)))) % 194.45/194.27 [9394]P1(f324(f324(f324(x93941,x93942),x93943),x93944))+~P1(f324(f324(f324(f257(x93945,x93946,f928(x93947,a916)),x93941),f324(f324(f252(x93945,x93946),x93942),x93943)),x93944)) % 194.45/194.27 [9542]P1(f324(f324(f326(x95421),f324(f324(x95422,x95423),x95424)),f324(f307(f927(x95425,x95426),x95421,f324(f257(x95425,x95426,x95421),x95422)),x95427)))+~P1(f324(f324(f326(f927(x95425,x95426)),f324(f324(f252(x95425,x95426),x95423),x95424)),x95427)) % 194.45/194.27 [9885]P1(f324(f324(f326(f927(f921(x98851),f921(x98851))),f324(f324(f252(f921(x98851),f921(x98851)),f324(f324(f134(x98851),x98852),f324(f324(f151(x98851),x98853),x98854))),f324(f324(f134(x98851),x98852),f324(f324(f151(x98851),x98855),x98856)))),f147(x98851,x98857)))+~P1(f324(f324(f326(f927(x98851,x98851)),f324(f324(f252(x98851,x98851),x98853),x98855)),x98857)) % 194.45/194.27 [9950]~P32(x99501,x99503,x99504,x99506,f324(f324(f154(x99502,x99503),x99505),x99507))+P32(x99501,x99502,f324(f324(f9(x99501,f928(x99502,x99503),f928(x99502,a916)),f324(f324(f10(f928(x99503,a916),f928(f928(x99502,x99503),f928(x99502,a916)),x99501),f10(x99503,a916,x99502)),x99504)),x99505),x99506,x99507) % 194.45/194.27 [10028]P32(x100281,x100282,x100283,x100284,f324(f324(f154(x100285,x100282),x100286),x100287))+~P32(x100281,x100285,f324(f324(f9(x100281,f928(x100285,x100282),f928(x100285,a916)),f324(f324(f10(f928(x100282,a916),f928(f928(x100285,x100282),f928(x100285,a916)),x100281),f10(x100282,a916,x100285)),x100283)),x100286),x100284,x100287) % 194.45/194.27 [10320]P1(f324(f324(f326(x103201),f431(x103202,x103203,x103204,x103205,x103206,x103207,x103201)),x103205))+P1(f324(f324(f324(f324(f39(x103201,f928(x103207,f928(x103206,a916))),x103205),x103204),x103203),x103202)) % 194.45/194.27 [10321]P1(f324(f324(f326(x103211),f815(x103212,x103213,x103214,x103215,x103216,x103217,x103211)),x103217))+P1(f324(f324(f324(f324(f39(x103211,f928(x103213,f928(x103212,a916))),x103217),x103216),x103215),x103214)) % 194.45/194.27 [10322]P1(f324(f324(f326(x103221),f434(x103222,x103223,x103224,x103225,x103226,x103227,x103221)),x103225))+~P1(f324(f324(f324(f324(f40(x103221,f928(x103227,f928(x103226,a916))),x103225),x103224),x103223),x103222)) % 194.45/194.27 [10323]P1(f324(f324(f326(x103231),f816(x103232,x103233,x103234,x103235,x103236,x103237,x103231)),x103235))+~P1(f324(f324(f324(f324(f40(x103231,f928(x103237,f928(x103236,a916))),x103235),x103234),x103233),x103232)) % 194.45/194.27 [10355]P1(f324(f324(f324(x103551,f434(x103552,x103553,x103551,x103554,x103555,x103556,x103557)),x103553),x103552))+~P1(f324(f324(f324(f324(f40(x103557,f928(x103556,f928(x103555,a916))),x103554),x103551),x103553),x103552)) % 194.45/194.27 [10356]P1(f324(f324(f324(x103561,f816(x103562,x103563,x103561,x103564,x103565,x103566,x103567)),x103563),x103562))+~P1(f324(f324(f324(f324(f40(x103567,f928(x103566,f928(x103565,a916))),x103564),x103561),x103563),x103562)) % 194.45/194.27 [10372]~P1(f324(f324(f324(x103725,f431(x103727,x103726,x103725,x103724,x103723,x103722,x103721)),x103726),x103727))+P1(f324(f324(f324(f324(f39(x103721,f928(x103722,f928(x103723,a916))),x103724),x103725),x103726),x103727)) % 194.45/194.27 [10373]~P1(f324(f324(f324(x103735,f815(x103733,x103732,x103737,x103736,x103735,x103734,x103731)),x103736),x103737))+P1(f324(f324(f324(f324(f39(x103731,f928(x103732,f928(x103733,a916))),x103734),x103735),x103736),x103737)) % 194.45/194.27 [10392]~P1(f324(f324(f326(f927(x103921,x103923)),f324(f324(f252(x103921,x103923),x103926),x103927)),f324(f324(f286(x103921,x103922,x103923),x103924),x103925)))+P1(f324(f324(f253(x103921,x103922,x103923,f324(f324(f9(x103921,f928(f927(x103921,x103922),a916),f928(x103922,a916)),f324(f324(f10(f928(x103922,f928(f928(f927(x103921,x103922),a916),a916)),f928(f928(f927(x103921,x103922),a916),f928(x103922,a916)),x103921),f9(x103922,f928(f927(x103921,x103922),a916),a916)),f324(f324(f10(f928(x103922,f927(x103921,x103922)),f928(x103922,f928(f928(f927(x103921,x103922),a916),a916)),x103921),f324(f10(f927(x103921,x103922),f928(f928(f927(x103921,x103922),a916),a916),x103922),f326(f927(x103921,x103922)))),f252(x103921,x103922)))),x103924),f324(f324(f9(x103922,f928(f927(x103922,x103923),a916),f928(x103923,a916)),f324(f324(f10(f928(x103923,f928(f928(f927(x103922,x103923),a916),a916)),f928(f928(f927(x103922,x103923),a916),f928(x103923,a916)),x103922),f9(x103923,f928(f927(x103922,x103923),a916),a916)),f324(f324(f10(f928(x103923,f927(x103922,x103923)),f928(x103923,f928(f928(f927(x103922,x103923),a916),a916)),x103922),f324(f10(f927(x103922,x103923),f928(f928(f927(x103922,x103923),a916),a916),x103923),f326(f927(x103922,x103923)))),f252(x103922,x103923)))),x103925)),x103926),x103927)) % 194.45/194.27 [10401]P1(f324(f324(f326(f927(x104011,x104012)),f324(f324(f252(x104011,x104012),x104013),x104014)),f324(f324(f286(x104011,x104015,x104012),x104016),x104017)))+~P1(f324(f324(f253(x104011,x104015,x104012,f324(f324(f9(x104011,f928(f927(x104011,x104015),a916),f928(x104015,a916)),f324(f324(f10(f928(x104015,f928(f928(f927(x104011,x104015),a916),a916)),f928(f928(f927(x104011,x104015),a916),f928(x104015,a916)),x104011),f9(x104015,f928(f927(x104011,x104015),a916),a916)),f324(f324(f10(f928(x104015,f927(x104011,x104015)),f928(x104015,f928(f928(f927(x104011,x104015),a916),a916)),x104011),f324(f10(f927(x104011,x104015),f928(f928(f927(x104011,x104015),a916),a916),x104015),f326(f927(x104011,x104015)))),f252(x104011,x104015)))),x104016),f324(f324(f9(x104015,f928(f927(x104015,x104012),a916),f928(x104012,a916)),f324(f324(f10(f928(x104012,f928(f928(f927(x104015,x104012),a916),a916)),f928(f928(f927(x104015,x104012),a916),f928(x104012,a916)),x104015),f9(x104012,f928(f927(x104015,x104012),a916),a916)),f324(f324(f10(f928(x104012,f927(x104015,x104012)),f928(x104012,f928(f928(f927(x104015,x104012),a916),a916)),x104015),f324(f10(f927(x104015,x104012),f928(f928(f927(x104015,x104012),a916),a916),x104012),f326(f927(x104015,x104012)))),f252(x104015,x104012)))),x104017)),x104013),x104014)) % 194.45/194.27 [10332]~P146(x103322)+E(f324(f324(f8(x103321,x103322),f324(f324(f9(x103321,f928(x103323,a916),x103322),f324(f324(f10(f928(x103323,x103322),f928(f928(x103323,a916),x103322),x103321),f8(x103323,x103322)),f324(f324(f9(x103321,f928(x103323,x103322),f928(x103323,x103322)),f324(f324(f10(f928(x103322,x103322),f928(f928(x103323,x103322),f928(x103323,x103322)),x103321),f10(x103322,x103322,x103323)),f324(f324(f10(x103322,f928(x103322,x103322),x103321),f80(x103322)),x103324))),x103325))),x103326)),x103327),f324(f324(f80(x103322),f324(f324(f8(x103321,x103322),x103324),x103327)),f324(f324(f8(x103323,x103322),x103325),x103326))) % 194.45/194.27 [9427]~P17(x94277,x94271,x94273,x94278)+E(f324(f72(x94271,x94271,x94272,f324(x94273,x94274)),f324(f72(x94271,x94271,x94272,f324(x94273,x94275)),x94276)),f324(f72(x94271,x94271,x94272,f324(x94273,x94275)),f324(f72(x94271,x94271,x94272,f324(x94273,x94274)),x94276))) % 194.45/194.27 [10395]E(f324(f324(f252(x103951,x103952),f324(x103953,f579(x103954,x103955,x103953,x103956,x103957,x103958,x103952,x103951))),f324(x103955,f580(x103954,x103955,x103953,x103956,x103957,x103958,x103952,x103951))),x103958)+~P1(f324(f324(f326(f927(x103951,x103952)),x103958),f324(f307(f927(x103957,x103956),f927(x103951,x103952),f258(x103957,x103951,x103956,x103952,x103953,x103955)),x103954))) % 194.45/194.27 [10410]~P1(f324(f324(f326(f927(x104108,x104107)),x104106),f324(f307(f927(x104101,x104102),f927(x104108,x104107),f258(x104101,x104108,x104102,x104107,x104105,x104104)),x104103)))+P1(f324(f324(f326(f927(x104101,x104102)),f324(f324(f252(x104101,x104102),f579(x104103,x104104,x104105,x104102,x104101,x104106,x104107,x104108)),f580(x104103,x104104,x104105,x104102,x104101,x104106,x104107,x104108))),x104103)) % 194.45/194.27 [9874]P1(f324(f324(f326(f927(f927(x98741,x98742),f927(x98741,x98742))),f324(f324(f252(f927(x98741,x98742),f927(x98741,x98742)),f324(f324(f252(x98741,x98742),x98743),x98744)),f324(f324(f252(x98741,x98742),x98745),x98746))),f317(x98741,x98742,x98747,x98748)))+~P1(f324(f324(f326(f927(x98741,x98741)),f324(f324(f252(x98741,x98741),x98743),x98745)),x98747)) % 194.45/194.27 [10386]E(f324(f142(x103861,x103862,f324(f9(x103862,x103861,x103861),x103863),f324(x103864,x103865)),x103866),f324(x103864,f324(f142(x103867,x103862,f324(f9(x103862,x103867,x103867),x103868),x103865),x103866)))+P1(f324(f324(f326(x103862),f763(x103865,x103868,x103864,x103863,x103867,x103861,x103866,x103862)),f324(f172(x103862),x103866))) % 194.45/194.27 [10404]~E(f324(f72(x104041,x104041,x104047,f324(x104043,f763(x104045,x104048,x104044,x104043,x104047,x104041,x104046,x104042))),x104044),f324(f72(x104047,x104041,x104047,x104044),f324(x104048,f763(x104045,x104048,x104044,x104043,x104047,x104041,x104046,x104042))))+E(f324(f142(x104041,x104042,f324(f9(x104042,x104041,x104041),x104043),f324(x104044,x104045)),x104046),f324(x104044,f324(f142(x104047,x104042,f324(f9(x104042,x104047,x104047),x104048),x104045),x104046))) % 194.45/194.27 [8626]E(f324(x86261,f324(x86262,x86263)),f324(x86264,f324(x86265,x86263)))+~E(f324(f72(x86266,x86267,x86268,x86261),x86262),f324(f72(x86269,x86267,x86268,x86264),x86265)) % 194.45/194.27 [10247]P1(f324(f324(f326(f927(x102471,x102472)),f324(f324(f252(x102471,x102472),f324(x102473,x102474)),f324(x102475,x102476))),f324(f307(f927(x102477,x102478),f927(x102471,x102472),f258(x102477,x102471,x102478,x102472,x102473,x102475)),x102479)))+~P1(f324(f324(f326(f927(x102477,x102478)),f324(f324(f252(x102477,x102478),x102474),x102476)),x102479)) % 194.45/194.27 [8921]~E(f324(x89214,f324(x89215,x89216)),f324(x89219,f324(x892110,x892111)))+E(f324(f324(f72(x89211,x89212,x89213,x89214),x89215),x89216),f324(f324(f72(x89217,x89212,x89218,x89219),x892110),x892111)) % 194.45/194.27 [4710]~P112(x47101)+~P63(x47101)+E(f103(x47101),f188(x47101)) % 194.45/194.27 [4711]~P112(x47111)+~P107(x47111)+E(f112(x47111),f233(x47111)) % 194.45/194.27 [4960]~P125(x49601)+~P102(x49601)+E(f324(f75(x49601),f324(f105(x49601),a99)),f77(x49601)) % 194.45/194.27 [5250]E(x52501,f2(a1))+E(f81(a1,x52501),f324(f78(a1),f77(a1)))+P1(f324(f324(f235(a1),f2(a1)),x52501)) % 194.45/194.27 [5463]E(x54631,f2(a1))+E(f81(a1,x54631),f77(a1))+~P1(f324(f324(f235(a1),f2(a1)),x54631)) % 194.45/194.27 [7482]~P39(x74821)+P1(f324(f61(a1),x74821))+~P1(f324(f61(a920),f324(f307(a1,a920,a106),x74821))) % 194.45/194.27 [9835]E(x98351,f189(f928(f927(a920,a920),a916)))+~P1(f324(f61(f927(a920,a920)),x98351))+P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),x98351)),a34)) % 194.45/194.27 [10002]E(x100021,f2(a920))+E(x100021,f324(a114,f2(a920)))+~P1(f324(f324(f235(a920),x100021),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.27 [10279]E(x102791,f2(a101))+E(f324(f324(f79(a1),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(a24,f324(f324(f36(a101),x102791),f324(f105(a101),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))))),f77(a1)),f324(a24,x102791))+E(f45(a101,x102791,f324(f105(a101),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f2(a101)) % 194.45/194.27 [10127]E(x101271,f2(a101))+~E(f45(a101,x101271,f324(f105(a101),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f2(a101))+E(f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(a24,f324(f324(f36(a101),x101271),f324(f105(a101),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f324(a24,x101271)) % 194.45/194.27 [4791]~P58(x47911,x47912)+P43(x47911,x47912)+~P44(a916) % 194.45/194.27 [4720]~P114(x47201)+P27(x47201,x47202)+~E(x47202,f2(x47201)) % 194.45/194.27 [4721]~P112(x47211)+P10(x47211,x47212)+~E(x47212,f115(x47211)) % 194.45/194.27 [4730]~P125(x47301)+~E(x47302,f2(x47301))+E(f81(x47301,x47302),f2(x47301)) % 194.45/194.27 [4731]~P97(x47311)+~E(x47312,f2(x47311))+E(f81(x47311,x47312),f2(x47311)) % 194.45/194.27 [4739]~P114(x47392)+~P27(x47392,x47391)+E(x47391,f2(x47392)) % 194.45/194.27 [4784]~P125(x47842)+~E(f81(x47842,x47841),f2(x47842))+E(x47841,f2(x47842)) % 194.45/194.27 [4798]~P66(x47982)+~P66(x47981)+P66(f928(x47981,x47982)) % 194.45/194.27 [4799]~P66(x47992)+~P66(x47991)+P66(f926(x47991,x47992)) % 194.45/194.27 [4800]~P66(x48002)+~P66(x48001)+P66(f927(x48001,x48002)) % 194.45/194.27 [4801]~P3(x48012)+~P3(x48011)+P3(f195(x48011,x48012)) % 194.45/194.27 [4802]~P69(x48022)+~P69(x48021)+P69(f928(x48021,x48022)) % 194.45/194.27 [4803]~P69(x48032)+~P69(x48031)+P69(f926(x48031,x48032)) % 194.45/194.27 [4804]~P69(x48042)+~P69(x48041)+P69(f927(x48041,x48042)) % 194.45/194.27 [4805]~P109(x48052)+~P109(x48051)+P109(f927(x48051,x48052)) % 194.45/194.27 [4932]~P112(x49321)+~P10(x49321,x49322)+P10(x49321,f152(x49321,x49322)) % 194.45/194.27 [5175]~P3(x51752)+~P3(x51751)+P3(f45(a1,x51751,x51752)) % 194.45/194.27 [4741]~P82(x47411)+~E(x47412,f2(x47411))+E(f324(f78(x47411),x47412),x47412) % 194.45/194.27 [4756]~P144(x47561)+~E(x47562,f2(a1))+E(f324(f104(x47561),x47562),f2(x47561)) % 194.45/194.27 [4757]~P100(x47571)+~E(x47572,f2(a1))+E(f324(f104(x47571),x47572),f2(x47571)) % 194.45/194.27 [4781]~P74(x47811)+~E(f2(x47811),x47812)+E(f324(f78(x47811),x47812),f2(x47811)) % 194.45/194.27 [4782]~P74(x47821)+~E(x47822,f2(x47821))+E(f324(f78(x47821),x47822),f2(x47821)) % 194.45/194.27 [4783]~P95(x47831)+~E(x47832,f2(x47831))+E(f324(f75(x47831),x47832),f2(x47831)) % 194.45/194.27 [4807]~P82(x48072)+E(x48071,f2(x48072))+~E(f324(f78(x48072),x48071),x48071) % 194.45/194.27 [4813]E(x48131,f324(a106,x48132))+~E(x48131,f2(a920))+~E(x48132,f324(f102(a1),x48131)) % 194.45/194.27 [4814]E(f324(a106,x48141),x48142)+~E(x48142,f2(a920))+~E(x48141,f324(f102(a1),x48142)) % 194.45/194.27 [4818]~P100(x48182)+E(x48181,f2(a1))+~E(f324(f104(x48182),x48181),f2(x48182)) % 194.45/194.27 [4822]~P74(x48222)+E(x48221,f2(x48222))+~E(f324(f78(x48222),x48221),f2(x48222)) % 194.45/194.27 [4823]~P95(x48232)+E(x48231,f2(x48232))+~E(f324(f75(x48232),x48231),f2(x48232)) % 194.45/194.27 [4824]~P74(x48241)+E(f2(x48241),x48242)+~E(f324(f78(x48241),x48242),f2(x48241)) % 194.45/194.27 [5007]~P112(x50071)+~P10(x50071,x50072)+P10(x50071,f324(f171(x50071),x50072)) % 194.45/194.27 [5034]~P1(x50342)+~P1(x50341)+P1(f324(f324(a322,x50341),x50342)) % 194.45/194.27 [5068]~E(f77(a920),f2(a920))+E(f324(f35(x50681),x50682),f2(a920))+~P1(f324(f61(x50681),x50682)) % 194.45/194.27 [5105]~P119(x51051)+~P146(x51051)+E(f324(f324(f244(x51051),f2(x51051)),f324(a114,x51052)),f2(x51051)) % 194.45/194.27 [5143]~P112(x51431)+P10(x51431,f139(x51431,x51432))+~P1(f324(f61(x51431),x51432)) % 194.45/194.27 [5144]~P112(x51441)+P10(x51441,f755(x51442,x51441))+~P1(f324(f61(x51441),x51442)) % 194.45/194.27 [5167]~P112(x51671)+E(f324(f172(x51671),f139(x51671,x51672)),x51672)+~P1(f324(f61(x51671),x51672)) % 194.45/194.27 [5168]~P112(x51681)+E(f324(f172(x51681),f755(x51682,x51681)),x51682)+~P1(f324(f61(x51681),x51682)) % 194.45/194.27 [5196]P1(x51961)+P1(x51962)+~P1(f324(f324(a323,x51962),x51961)) % 194.45/194.27 [5209]E(x52091,f189(f928(x52092,a916)))+~E(f324(f35(x52092),x52091),f2(a920))+~P1(f324(f61(x52092),x52091)) % 194.45/194.27 [5214]P1(x52141)+~P1(x52142)+~P1(f324(f324(a327,x52142),x52141)) % 194.45/194.27 [5269]~P80(x52691)+E(f324(f75(x52691),x52692),x52692)+P1(f324(f324(f235(x52691),x52692),f2(x52691))) % 194.45/194.27 [5270]~P2(x52702)+~P38(x52702,x52702,x52701)+E(f324(x52701,f98(x52702,x52701)),f98(x52702,x52701)) % 194.45/194.27 [5271]~P2(x52712)+~P38(x52712,x52712,x52711)+E(f324(x52711,f97(x52712,x52711)),f97(x52712,x52711)) % 194.45/194.27 [5332]~P69(x53322)+~P1(f324(f56(x53322),x53321))+P1(f324(x53321,f756(x53321,x53322))) % 194.45/194.27 [5333]~P69(x53332)+~P1(f324(f56(x53332),x53331))+P1(f324(x53331,f764(x53331,x53332))) % 194.45/194.27 [5374]E(x53741,f115(x53742))+P1(f324(f137(x53742),f116(x53742,x53741)))+~P1(f324(f137(x53742),x53741)) % 194.45/194.27 [5379]~P112(x53791)+~P1(f324(f61(x53791),x53792))+P1(f324(f137(x53791),f139(x53791,x53792))) % 194.45/194.27 [5380]~P112(x53801)+~P1(f324(f61(x53801),x53802))+P1(f324(f137(x53801),f755(x53802,x53801))) % 194.45/194.27 [5385]~P144(x53851)+E(f324(f102(x53851),f324(a106,x53852)),f324(f104(x53851),x53852))+P1(f324(f324(f235(a1),x53852),f2(a1))) % 194.45/194.27 [5412]P4(x54122,x54121)+E(f324(x54121,f531(x54121)),f324(x54121,f534(x54121)))+P1(f324(f324(x54121,f531(x54121)),f534(x54121))) % 194.45/194.27 [5425]E(f324(f102(a1),f383(x54251,x54252)),x54251)+P1(f324(x54252,f324(a106,x54251)))+~P1(f324(x54252,f2(a920))) % 194.45/194.27 [5437]~P69(x54371)+~P1(f324(x54372,f769(x54372,x54371)))+P1(f324(f57(x54371),x54372)) % 194.45/194.27 [5438]~P69(x54381)+~P1(f324(x54382,f780(x54382,x54381)))+P1(f324(f57(x54381),x54382)) % 194.45/194.27 [5473]~P125(x54731)+~E(f81(x54731,x54732),f324(f78(x54731),f77(x54731)))+P1(f324(f324(f235(x54731),x54732),f2(x54731))) % 194.45/194.27 [5546]~E(x55462,f2(a1))+E(f216(x55461,x55462),f324(f324(f252(a1,a1),f2(a1)),f77(a1)))+P1(f324(f324(f235(a1),x55462),f2(a1))) % 194.45/194.27 [5547]~E(x55471,f2(a1))+E(f216(x55471,x55472),f324(f324(f252(a1,a1),f2(a1)),f77(a1)))+P1(f324(f324(f235(a1),x55472),f2(a1))) % 194.45/194.27 [5597]E(f324(f102(a1),f383(x55971,x55972)),x55971)+P1(f324(x55972,f324(a106,x55971)))+P1(f324(f324(f235(a1),x55971),f2(a1))) % 194.45/194.27 [5664]~P125(x56641)+E(f81(x56641,x56642),f324(f78(x56641),f77(x56641)))+~P1(f324(f324(f235(x56641),x56642),f2(x56641))) % 194.45/194.27 [5665]~P95(x56651)+E(f324(f75(x56651),x56652),f324(f78(x56651),x56652))+~P1(f324(f324(f234(x56651),x56652),f2(x56651))) % 194.45/194.27 [5666]~P95(x56661)+E(f324(f75(x56661),x56662),f324(f78(x56661),x56662))+~P1(f324(f324(f235(x56661),x56662),f2(x56661))) % 194.45/194.27 [5667]~P80(x56671)+E(f324(f75(x56671),x56672),f324(f78(x56671),x56672))+~P1(f324(f324(f235(x56671),x56672),f2(x56671))) % 194.45/194.27 [5768]~P1(f324(x57681,f383(x57682,x57681)))+P1(f324(x57681,f324(a106,x57682)))+~P1(f324(x57681,f2(a920))) % 194.45/194.27 [5775]E(x57751,f2(a920))+E(f324(a114,f893(x57752,x57751)),x57751)+~P1(f324(f324(f235(a920),x57751),f324(a114,x57752))) % 194.45/194.27 [5779]P4(x57791,x57792)+~E(f324(x57792,f531(x57792)),f324(x57792,f534(x57792)))+~P1(f324(f324(x57792,f531(x57792)),f534(x57792))) % 194.45/194.27 [5798]~P112(x57981)+P10(x57981,x57982)+P1(f324(f324(f234(a920),f738(x57982,x57981)),f739(x57982,x57981))) % 194.45/194.27 [5799]~P112(x57991)+P10(x57991,x57992)+P1(f324(f324(f234(a920),f746(x57992,x57991)),f750(x57992,x57991))) % 194.45/194.27 [5885]~P95(x58851)+~E(x58852,f2(x58851))+P1(f324(f324(f234(x58851),f324(f75(x58851),x58852)),f2(x58851))) % 194.45/194.27 [5973]~P1(f324(x59731,f383(x59732,x59731)))+P1(f324(x59731,f324(a106,x59732)))+P1(f324(f324(f235(a1),x59732),f2(a1))) % 194.45/194.27 [6000]~P1(f324(x60001,f324(a106,x60002)))+P1(f324(x60001,f2(a920)))+~P1(f324(f324(f235(a1),x60002),f2(a1))) % 194.45/194.27 [6345]~P125(x63451)+~P1(f324(f324(f235(x63451),x63452),f2(x63451)))+P1(f324(f324(f235(x63451),f81(x63451,x63452)),f2(x63451))) % 194.45/194.27 [6458]~P125(x64581)+P1(f324(f324(f234(x64581),f324(f104(x64581),x64582)),f2(x64581)))+~P1(f324(f324(f234(a1),x64582),f2(a1))) % 194.45/194.27 [6459]~P125(x64591)+P1(f324(f324(f235(x64591),f324(f104(x64591),x64592)),f2(x64591)))+~P1(f324(f324(f235(a1),x64592),f2(a1))) % 194.45/194.27 [6467]~P95(x64672)+E(x64671,f2(x64672))+~P1(f324(f324(f234(x64672),f324(f75(x64672),x64671)),f2(x64672))) % 194.45/194.27 [6547]~P144(x65471)+~P1(f324(f324(f326(x65471),x65472),f111(x65471)))+P1(f324(f324(f326(x65471),f324(f78(x65471),x65472)),f111(x65471))) % 194.45/194.27 [6579]~P125(x65791)+~P1(f324(f324(f235(x65791),f81(x65791,x65792)),f2(x65791)))+P1(f324(f324(f235(x65791),x65792),f2(x65791))) % 194.45/194.27 [6752]~P125(x67522)+~P1(f324(f324(f234(x67522),f324(f104(x67522),x67521)),f2(x67522)))+P1(f324(f324(f234(a1),x67521),f2(a1))) % 194.45/194.27 [6753]~P125(x67532)+~P1(f324(f324(f235(x67532),f324(f104(x67532),x67531)),f2(x67532)))+P1(f324(f324(f235(a1),x67531),f2(a1))) % 194.45/194.27 [6836]~P2(x68361)+~P38(x68361,x68361,x68362)+P1(f324(f324(f234(x68361),f324(x68362,f98(x68361,x68362))),f98(x68361,x68362))) % 194.45/194.27 [6837]~P2(x68371)+~P38(x68371,x68371,x68372)+P1(f324(f324(f234(x68371),f324(x68372,f97(x68371,x68372))),f97(x68371,x68372))) % 194.45/194.27 [7253]~P82(x72531)+~P1(f324(f324(f234(x72531),x72532),f2(x72531)))+P1(f324(f324(f234(x72531),f324(f324(f79(x72531),x72532),x72532)),f2(x72531))) % 194.45/194.27 [7254]~P125(x72541)+~P1(f324(f324(f235(x72541),x72542),f2(x72541)))+P1(f324(f324(f235(x72541),f324(f324(f79(x72541),x72542),x72542)),f2(x72541))) % 194.45/194.27 [7255]~P82(x72551)+~P1(f324(f324(f235(x72551),x72552),f2(x72551)))+P1(f324(f324(f235(x72551),f324(f324(f79(x72551),x72552),x72552)),f2(x72551))) % 194.45/194.27 [7831]~P82(x78311)+~P1(f324(f324(f234(x78311),f324(f324(f79(x78311),x78312),x78312)),f2(x78311)))+P1(f324(f324(f234(x78311),x78312),f2(x78311))) % 194.45/194.27 [7832]~P125(x78321)+~P1(f324(f324(f235(x78321),f324(f324(f79(x78321),x78322),x78322)),f2(x78321)))+P1(f324(f324(f235(x78321),x78322),f2(x78321))) % 194.45/194.27 [7833]~P82(x78331)+~P1(f324(f324(f235(x78331),f324(f324(f79(x78331),x78332),x78332)),f2(x78331)))+P1(f324(f324(f235(x78331),x78332),f2(x78331))) % 194.45/194.27 [4859]~E(x48592,f77(a920))+~E(x48591,f77(a920))+E(f324(f324(f80(a920),x48591),x48592),f77(a920)) % 194.45/194.27 [4860]~E(x48602,f77(a1))+~E(x48601,f77(a1))+E(f324(f324(f80(a1),x48601),x48602),f77(a1)) % 194.45/194.27 [4861]~E(x48612,f2(a920))+~E(x48611,f2(a920))+E(f324(f324(f79(a920),x48611),x48612),f2(a920)) % 194.45/194.27 [4916]~P122(x49162)+E(x49161,f2(x49162))+E(f324(f324(f287(x49162),x49161),x49161),f77(x49162)) % 194.45/194.27 [4917]~P67(x49172)+E(x49171,f2(x49172))+E(f324(f324(f36(x49172),x49171),x49171),f77(x49172)) % 194.45/194.27 [4918]~P123(x49182)+E(x49181,f2(x49182))+E(f324(f324(f287(x49182),x49181),x49181),f77(x49182)) % 194.45/194.27 [4938]~P143(x49381)+~E(x49382,f77(x49381))+E(f324(f324(f80(x49381),x49382),x49382),f77(x49381)) % 194.45/194.27 [4939]~P82(x49391)+~E(x49392,f2(x49391))+E(f324(f324(f79(x49391),x49392),x49392),f2(x49391)) % 194.45/194.27 [4940]~P123(x49401)+~E(x49402,f2(x49401))+E(f324(f324(f287(x49401),x49402),x49402),f2(x49401)) % 194.45/194.27 [4985]~E(x49852,f2(a920))+~E(x49851,f2(a920))+E(f324(f78(a1),f324(f102(a1),x49851)),f324(f102(a1),x49852)) % 194.45/194.27 [5004]E(x50041,f77(a920))+E(x50042,f2(a920))+~E(f324(f324(f80(a920),x50042),x50041),x50042) % 194.45/194.27 [5016]E(x50161,f2(a920))+E(x50162,f2(a920))+~E(f324(f324(f80(a920),x50162),x50161),f2(a920)) % 194.45/194.27 [5043]~E(x50432,f2(a920))+~E(x50431,f324(a114,f2(a920)))+E(f324(f324(f79(a920),x50431),x50432),f324(a114,f2(a920))) % 194.45/194.27 [5044]~E(x50441,f2(a920))+~E(x50442,f324(a114,f2(a920)))+E(f324(f324(f79(a920),x50441),x50442),f324(a114,f2(a920))) % 194.45/194.27 [5051]E(x50511,f77(a1))+E(x50512,f324(f105(a1),a99))+~E(f324(f324(f80(a1),x50511),x50512),f77(a1)) % 194.45/194.27 [5052]E(x50521,f77(a1))+E(x50522,f324(f105(a1),a99))+~E(f324(f324(f80(a1),x50522),x50521),f77(a1)) % 194.45/194.27 [5053]E(x50531,f77(a1))+E(x50531,f324(f105(a1),a99))+~E(f324(f324(f80(a1),x50532),x50531),f77(a1)) % 194.45/194.27 [5055]E(x50551,f77(a1))+E(x50551,f324(f105(a1),a99))+~E(f324(f324(f80(a1),x50551),x50552),f77(a1)) % 194.45/194.27 [5077]~P82(x50772)+E(x50771,f2(x50772))+~E(f324(f324(f79(x50772),x50771),x50771),f2(x50772)) % 194.45/194.27 [5083]~E(x50831,f324(f105(a1),a99))+~E(x50832,f324(f105(a1),a99))+E(f324(f324(f80(a1),x50831),x50832),f77(a1)) % 194.45/194.27 [5094]E(x50941,f2(a920))+E(x50942,f2(a920))+~E(f324(f324(f79(a920),x50942),x50941),f324(a114,f2(a920))) % 194.45/194.27 [5104]~P70(x51041)+~P102(x51041)+E(f324(f324(f287(x51041),x51042),f324(f105(x51041),a82)),f2(x51041)) % 194.45/194.27 [5110]~P143(x51101)+~E(x51102,f324(f78(x51101),f77(x51101)))+E(f324(f324(f80(x51101),x51102),x51102),f77(x51101)) % 194.45/194.27 [5115]~P3(x51152)+~P3(x51151)+P3(f324(f324(f80(a1),x51151),x51152)) % 194.45/194.27 [5116]~P3(x51162)+~P3(x51161)+P3(f324(f324(f79(a1),x51161),x51162)) % 194.45/194.27 [5117]~P3(x51172)+~P3(x51171)+P3(f324(f324(f36(a1),x51171),x51172)) % 194.45/194.27 [5119]~E(x51192,f2(a1))+E(x51191,f2(a1))+E(f46(x51191,x51192),f324(f324(f252(a1,a1),f2(a1)),x51191)) % 194.45/194.27 [5141]~E(x51412,f324(a114,f2(a920)))+~E(x51411,f324(a114,f2(a920)))+E(f324(f324(f80(a920),x51411),x51412),f324(a114,f2(a920))) % 194.45/194.27 [5158]E(x51581,f2(a920))+E(x51582,f324(a114,f2(a920)))+~E(f324(f324(f244(a920),x51582),x51581),f324(a114,f2(a920))) % 194.45/194.27 [5159]E(x51591,f2(a920))+E(x51591,f324(a114,f2(a920)))+~E(f324(f324(f79(a920),x51592),x51591),f324(a114,f2(a920))) % 194.45/194.27 [5160]E(x51601,f2(a920))+E(x51601,f324(a114,f2(a920)))+~E(f324(f324(f79(a920),x51601),x51602),f324(a114,f2(a920))) % 194.45/194.27 [5169]~P70(x51691)+~P102(x51691)+E(f324(f324(f287(x51691),x51692),f324(f105(x51691),a99)),f324(f78(x51691),x51692)) % 194.45/194.27 [5188]E(x51881,f324(a106,x51882))+~E(x51881,f2(a920))+P1(f324(f324(f234(a1),f2(a1)),x51882)) % 194.45/194.27 [5189]E(f324(a106,x51891),x51892)+~E(x51892,f2(a920))+P1(f324(f324(f234(a1),f2(a1)),x51891)) % 194.45/194.27 [5205]E(x52051,f324(a114,f2(a920)))+E(x52052,f324(a114,f2(a920)))+~E(f324(f324(f79(a920),x52051),x52052),f324(a114,f2(a920))) % 194.45/194.27 [5216]~E(x52161,f324(a106,x52162))+E(x52161,f2(a920))+P1(f324(f324(f234(a1),f2(a1)),x52162)) % 194.45/194.27 [5217]~E(f324(a106,x52172),x52171)+E(x52171,f2(a920))+P1(f324(f324(f234(a1),f2(a1)),x52172)) % 194.45/194.27 [5243]~P105(x52431)+E(f324(f63(x52431,f103(x52431)),x52432),f12(x52431,x52432))+~P1(f324(f61(x52431),x52432)) % 194.45/194.27 [5244]~P105(x52441)+E(f324(f63(x52441,f112(x52441)),x52442),f15(x52441,x52442))+~P1(f324(f61(x52441),x52442)) % 194.45/194.27 [5245]~P112(x52451)+E(f324(f63(x52451,f188(x52451)),x52452),f16(x52451,x52452))+~P1(f324(f61(x52451),x52452)) % 194.45/194.27 [5246]~P112(x52461)+E(f324(f63(x52461,f233(x52461)),x52462),f17(x52461,x52462))+~P1(f324(f61(x52461),x52462)) % 194.45/194.27 [5327]E(x53271,x53272)+~E(f324(f324(f3(a920),x53272),x53271),f2(a920))+~E(f324(f324(f3(a920),x53271),x53272),f2(a920)) % 194.45/194.27 [5345]P3(x53451)+~P39(x53452)+~P1(f324(f324(f326(a1),x53451),x53452)) % 194.45/194.27 [5375]~P125(x53751)+~E(f81(x53751,x53752),f77(x53751))+P1(f324(f324(f235(x53751),f2(x53751)),x53752)) % 194.45/194.27 [5386]~P102(x53861)+E(f324(f102(x53861),f324(f105(a920),x53862)),f324(f105(x53861),x53862))+P1(f324(a194,f324(f105(a1),x53862))) % 194.45/194.27 [5391]~P43(x53911,x53912)+P44(a916)+P1(f324(f61(f927(x53911,x53911)),x53912)) % 194.45/194.27 [5465]~P112(x54651)+E(f324(f63(x54651,f188(x54651)),x54652),f13(x54651,f188(x54651),x54652))+~P1(f324(f61(x54651),x54652)) % 194.45/194.27 [5466]~P112(x54661)+E(f324(f63(x54661,f233(x54661)),x54662),f14(x54661,f233(x54661),x54662))+~P1(f324(f61(x54661),x54662)) % 194.45/194.27 [5480]E(x54801,x54802)+P1(f324(f324(f235(a920),x54802),x54801))+P1(f324(f324(f235(a920),x54801),x54802)) % 194.45/194.27 [5481]E(x54811,x54812)+P1(f324(f324(f235(a1),x54812),x54811))+P1(f324(f324(f235(a1),x54811),x54812)) % 194.45/194.27 [5533]~P102(x55331)+E(f324(f102(x55331),f324(f105(a920),x55332)),f2(x55331))+~P1(f324(a194,f324(f105(a1),x55332))) % 194.45/194.27 [5536]~E(x55362,f324(a106,x55361))+E(x55361,f324(f102(a1),x55362))+~P1(f324(f324(f234(a1),f2(a1)),x55361)) % 194.45/194.27 [5537]~E(f324(a106,x55371),x55372)+E(x55371,f324(f102(a1),x55372))+~P1(f324(f324(f234(a1),f2(a1)),x55371)) % 194.45/194.27 [5538]~E(x55381,f324(a106,x55382))+E(f324(f102(a1),x55381),x55382)+~P1(f324(f324(f234(a1),f2(a1)),x55382)) % 194.45/194.27 [5548]E(x55481,f324(a106,x55482))+~E(x55482,f324(f102(a1),x55481))+~P1(f324(f324(f234(a1),f2(a1)),x55482)) % 194.45/194.27 [5549]E(f324(a106,x55491),x55492)+~E(x55491,f324(f102(a1),x55492))+~P1(f324(f324(f234(a1),f2(a1)),x55491)) % 194.45/194.27 [5588]~P95(x55882)+E(x55881,f2(x55882))+P1(f324(f324(f235(x55882),f2(x55882)),f324(f75(x55882),x55881))) % 194.45/194.27 [5653]~P125(x56531)+E(f81(x56531,x56532),f77(x56531))+~P1(f324(f324(f235(x56531),f2(x56531)),x56532)) % 194.45/194.27 [5657]~P102(x56571)+E(f324(f102(x56571),f324(f105(a920),x56572)),f2(x56571))+P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x56572))) % 194.45/194.27 [5668]~P95(x56681)+E(f324(f75(x56681),x56682),x56682)+~P1(f324(f324(f234(x56681),f2(x56681)),x56682)) % 194.45/194.27 [5669]~P95(x56691)+E(f324(f75(x56691),x56692),x56692)+~P1(f324(f324(f235(x56691),f2(x56691)),x56692)) % 194.45/194.27 [5678]E(x56781,f2(a920))+~E(f139(a920,f324(f299(a920,x56782),x56781)),f115(a920))+P1(f324(f324(f234(a920),x56781),x56782)) % 194.45/194.27 [5689]~P77(x56891)+E(f324(f324(f8(x56891,x56891),f7(x56891)),f324(f172(x56891),x56892)),f324(f165(x56891),x56892))+~P1(f324(f137(x56891),x56892)) % 194.45/194.27 [5692]~P144(x56921)+E(f324(f102(x56921),f324(a106,x56922)),f324(f104(x56921),x56922))+~P1(f324(f324(f234(a1),f2(a1)),x56922)) % 194.45/194.27 [5719]E(x57191,x57192)+P1(f324(f324(f235(a920),x57191),x57192))+~P1(f324(f324(f234(a920),x57191),x57192)) % 194.45/194.27 [5720]E(x57201,x57202)+P1(f324(f324(f235(a1),x57201),x57202))+~P1(f324(f324(f234(a1),x57201),x57202)) % 194.45/194.27 [5723]E(x57231,f77(a1))+~E(f324(f324(f80(a1),x57232),x57231),f77(a1))+~P1(f324(f324(f235(a1),f2(a1)),x57232)) % 194.45/194.27 [5724]E(x57241,f77(a1))+~E(f324(f324(f80(a1),x57241),x57242),f77(a1))+~P1(f324(f324(f235(a1),f2(a1)),x57241)) % 194.45/194.27 [5765]~P39(x57652)+P1(f324(f324(f234(a1),f2(a1)),x57651))+~P1(f324(f324(f326(a1),x57651),x57652)) % 194.45/194.27 [5785]~P58(x57851,x57852)+P35(x57851,x57852)+~P1(f324(f61(f927(x57851,x57851)),x57852)) % 194.45/194.27 [5787]~P58(x57871,x57872)+P43(x57871,x57872)+~P1(f324(f61(f927(x57871,x57871)),x57872)) % 194.45/194.27 [5829]E(x58291,f189(f928(x58292,a916)))+~P1(f324(f61(x58292),x58291))+P1(f324(f324(f235(a920),f2(a920)),f324(f35(x58292),x58291))) % 194.45/194.27 [5856]~P1(f324(x58561,x58562))+P1(f324(x58561,f2(a920)))+P1(f324(f324(f235(a920),f349(x58562,x58561)),x58562)) % 194.45/194.27 [5879]E(x58791,f2(a920))+~E(f324(f165(a920),x58792),f2(a920))+~P1(f324(f324(f326(a920),x58791),f324(f172(a920),x58792))) % 194.45/194.27 [5945]E(x59451,x59452)+~P1(f324(f324(f234(a920),x59452),x59451))+~P1(f324(f324(f234(a920),x59451),x59452)) % 194.45/194.27 [5946]E(x59461,x59462)+~P1(f324(f324(f234(a1),x59462),x59461))+~P1(f324(f324(f234(a1),x59461),x59462)) % 194.45/194.27 [5948]E(f324(f35(x59481),x59482),f2(a920))+~P1(f324(f61(x59481),x59482))+P1(f324(f324(f326(x59481),f364(x59482,x59481)),x59482)) % 194.45/194.27 [5957]E(f50(x59571,x59572),f46(x59571,x59572))+P1(f324(f324(f234(a1),f2(a1)),x59571))+~P1(f324(f324(f235(a1),f2(a1)),x59572)) % 194.45/194.27 [5986]~P1(f324(x59861,f378(x59861)))+P1(f324(x59861,f324(a106,x59862)))+~P1(f324(f324(f234(a1),f2(a1)),x59862)) % 194.45/194.27 [5990]P1(f324(f324(f234(a920),x59901),f452(x59902)))+~P1(f324(f61(a920),x59902))+~P1(f324(f324(f326(a920),x59901),x59902)) % 194.45/194.27 [5991]P1(f324(f324(f235(a920),x59911),f443(x59912)))+~P1(f324(f61(a920),x59912))+~P1(f324(f324(f326(a920),x59911),x59912)) % 194.45/194.27 [6021]E(x60211,x60212)+~P1(f324(f324(f235(a920),x60211),f324(a114,x60212)))+P1(f324(f324(f235(a920),x60211),x60212)) % 194.45/194.27 [6053]E(x60531,f324(a114,x60532))+~P1(f324(f324(f234(a920),x60531),f324(a114,x60532)))+P1(f324(f324(f234(a920),x60531),x60532)) % 194.45/194.27 [6069]P1(f324(x60691,f379(x60691)))+~P1(f324(x60691,f324(a106,x60692)))+~P1(f324(f324(f234(a1),f2(a1)),x60692)) % 194.45/194.27 [6083]~P1(f324(x60831,x60832))+~P1(f324(f324(f234(a1),f2(a1)),x60832))+P1(f324(x60831,f324(f102(a1),f385(x60831)))) % 194.45/194.27 [6094]~P95(x60942)+~E(x60941,f2(x60942))+~P1(f324(f324(f235(x60942),f2(x60942)),f324(f75(x60942),x60941))) % 194.45/194.27 [6118]~P58(x61181,x61182)+P35(x61181,f324(f284(x61181,x61181),x61182))+~P1(f324(f61(f927(x61181,x61181)),x61182)) % 194.45/194.27 [6128]~P102(x61281)+E(f324(f102(x61281),f324(f105(a920),x61282)),f324(f105(x61281),x61282))+~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x61282))) % 194.45/194.27 [6133]E(f324(a114,x61331),x61332)+~P1(f324(f324(f235(a920),x61331),x61332))+P1(f324(f324(f235(a920),f324(a114,x61331)),x61332)) % 194.45/194.27 [6150]E(f324(f324(f36(a1),x61501),x61502),f2(a1))+~P1(f324(f324(f234(a1),x61501),f2(a1)))+~P1(f324(f324(f235(a1),x61502),x61501)) % 194.45/194.27 [6160]E(f45(a1,x61601,x61602),x61601)+~P1(f324(f324(f234(a1),x61601),f2(a1)))+~P1(f324(f324(f235(a1),x61602),x61601)) % 194.45/194.27 [6174]E(f47(x61741,x61742),f46(x61741,x61742))+~P1(f324(f324(f234(a1),f2(a1)),x61741))+~P1(f324(f324(f234(a1),f2(a1)),x61742)) % 194.45/194.27 [6184]E(f324(f324(f36(a1),x61841),x61842),f2(a1))+~P1(f324(f324(f234(a1),f2(a1)),x61841))+~P1(f324(f324(f235(a1),x61841),x61842)) % 194.45/194.27 [6196]E(f45(a920,f324(f105(a920),x61961),f324(f105(a920),x61962)),f324(f105(a920),x61961))+P1(f324(a194,f324(f105(a1),x61961)))+~P1(f324(a194,f324(f105(a1),x61962))) % 194.45/194.27 [6198]E(f45(a1,x61981,x61982),x61981)+~P1(f324(f324(f234(a1),f2(a1)),x61981))+~P1(f324(f324(f235(a1),x61981),x61982)) % 194.45/194.27 [6199]E(x61991,x61992)+~P1(f324(f324(f235(a920),x61991),f324(a114,x61992)))+~P1(f324(f324(f234(a920),x61992),x61991)) % 194.45/194.27 [6213]~P82(x62131)+~P1(f324(f324(f234(x62131),x62132),f2(x62131)))+P1(f324(f324(f234(x62131),x62132),f324(f78(x62131),x62132))) % 194.45/194.27 [6214]~P125(x62141)+~P1(f324(f324(f235(x62141),x62142),f2(x62141)))+P1(f324(f324(f235(x62141),x62142),f324(f78(x62141),x62142))) % 194.45/194.27 [6224]~P2(x62241)+E(f324(f324(f64(x62241,x62241,f112(x62241)),f189(x62241)),x62242),f37(x62241,x62242))+~P1(f324(f61(x62241),x62242)) % 194.45/194.27 [6225]~P2(x62251)+E(f324(f324(f64(x62251,x62251,f103(x62251)),f242(x62251)),x62252),f38(x62251,x62252))+~P1(f324(f61(x62251),x62252)) % 194.45/194.27 [6242]~P125(x62421)+~P1(f324(f324(f234(a1),f2(a1)),x62422))+P1(f324(f324(f234(x62421),f2(x62421)),f324(f104(x62421),x62422))) % 194.45/194.27 [6243]~P129(x62431)+~P1(f324(f324(f235(a920),f2(a920)),x62432))+P1(f324(f324(f235(x62431),f2(x62431)),f324(f102(x62431),x62432))) % 194.45/194.27 [6244]~P125(x62441)+~P1(f324(f324(f235(a1),f2(a1)),x62442))+P1(f324(f324(f235(x62441),f2(x62441)),f324(f104(x62441),x62442))) % 194.45/194.27 [6247]~P3(x62472)+~P3(x62471)+E(f324(f307(a920,a1,f102(a1)),f300(a920,f324(a106,x62471),f324(a106,x62472))),f300(a1,x62471,x62472)) % 194.45/194.27 [6253]P1(f324(x62531,x62532))+~P1(f324(f324(f234(a1),f2(a1)),x62532))+~P1(f324(x62531,f324(f102(a1),f386(x62531)))) % 194.45/194.27 [6283]E(f324(f324(f79(a920),f324(f105(a920),x62831)),f324(f105(a920),x62832)),f324(f105(a920),x62831))+P1(f324(f324(f235(a1),x62831),a82))+~P1(f324(f324(f235(a1),x62832),a82)) % 194.45/194.27 [6287]~P125(x62871)+P1(f324(f324(f235(x62871),f2(x62871)),f81(x62871,x62872)))+~P1(f324(f324(f235(x62871),f2(x62871)),x62872)) % 194.45/194.27 [6298]~P86(x62981)+~P1(f324(f324(f234(x62981),x62982),f2(x62981)))+P1(f324(f324(f234(x62981),f2(x62981)),f324(f78(x62981),x62982))) % 194.45/194.27 [6299]~P86(x62991)+~P1(f324(f324(f235(x62991),x62992),f2(x62991)))+P1(f324(f324(f235(x62991),f2(x62991)),f324(f78(x62991),x62992))) % 194.45/194.27 [6302]E(x63021,f242(f928(x63022,a916)))+~E(f324(f35(x63022),x63021),f324(f35(x63022),f242(f928(x63022,a916))))+~P1(f324(f61(x63022),f242(f928(x63022,a916)))) % 194.45/194.27 [6336]~P82(x63361)+P1(f324(f324(f234(x63361),x63362),f2(x63361)))+~P1(f324(f324(f234(x63361),x63362),f324(f78(x63361),x63362))) % 194.45/194.27 [6337]~P125(x63371)+P1(f324(f324(f235(x63371),x63372),f2(x63371)))+~P1(f324(f324(f235(x63371),x63372),f324(f78(x63371),x63372))) % 194.45/194.27 [6347]~P102(x63471)+P1(f324(f324(f326(x63471),f324(f105(x63471),x63472)),f186(x63471)))+~P1(f324(f324(f234(a1),a82),x63472)) % 194.45/194.27 [6376]E(x63761,f2(a920))+~P1(f324(f324(f235(a920),x63761),f324(a114,x63762)))+P1(f324(f324(f235(a920),f893(x63762,x63761)),x63762)) % 194.45/194.27 [6398]~P125(x63981)+~P1(f324(f324(f235(x63981),f2(x63981)),f81(x63981,x63982)))+P1(f324(f324(f235(x63981),f2(x63981)),x63982)) % 194.45/194.27 [6400]~E(f324(f105(a920),x64002),f324(f105(a920),x64001))+P1(f324(f324(f234(a1),f324(f105(a1),x64001)),f2(a1)))+~P1(f324(a194,f324(f105(a1),x64002))) % 194.45/194.27 [6429]E(f324(f251(a1,a1),f50(x64291,x64292)),f324(f324(f36(a1),x64291),x64292))+~P1(f324(f324(f235(a1),x64291),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x64292)) % 194.45/194.27 [6465]E(f324(f256(a1,a1),f50(x64651,x64652)),f45(a1,x64651,x64652))+~P1(f324(f324(f235(a1),x64651),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x64652)) % 194.45/194.27 [6468]~P125(x64682)+~P1(f324(f324(f234(x64682),f2(x64682)),f324(f104(x64682),x64681)))+P1(f324(f324(f234(a1),f2(a1)),x64681)) % 194.45/194.27 [6469]~P129(x64692)+~P1(f324(f324(f235(x64692),f2(x64692)),f324(f102(x64692),x64691)))+P1(f324(f324(f235(a920),f2(a920)),x64691)) % 194.45/194.27 [6470]~P125(x64702)+~P1(f324(f324(f235(x64702),f2(x64702)),f324(f104(x64702),x64701)))+P1(f324(f324(f235(a1),f2(a1)),x64701)) % 194.45/194.27 [6474]E(f324(f251(a1,a1),f47(x64741,x64742)),f324(f324(f36(a1),x64741),x64742))+~P1(f324(f324(f234(a1),f2(a1)),x64742))+~P1(f324(f324(f235(a1),f2(a1)),x64741)) % 194.45/194.27 [6489]E(f324(f256(a1,a1),f47(x64891,x64892)),f45(a1,x64891,x64892))+~P1(f324(f324(f234(a1),f2(a1)),x64892))+~P1(f324(f324(f235(a1),f2(a1)),x64891)) % 194.45/194.27 [6504]~P86(x65041)+P1(f324(f324(f234(x65041),x65042),f2(x65041)))+~P1(f324(f324(f234(x65041),f2(x65041)),f324(f78(x65041),x65042))) % 194.45/194.27 [6505]~P86(x65051)+P1(f324(f324(f235(x65051),x65052),f2(x65051)))+~P1(f324(f324(f235(x65051),f2(x65051)),f324(f78(x65051),x65052))) % 194.45/194.27 [6528]~P2(x65281)+~P38(x65281,x65281,x65282)+P1(f324(f324(f234(x65281),f98(x65281,x65282)),f324(x65282,f98(x65281,x65282)))) % 194.45/194.27 [6529]~P2(x65291)+~P38(x65291,x65291,x65292)+P1(f324(f324(f234(x65291),f97(x65291,x65292)),f324(x65292,f97(x65291,x65292)))) % 194.45/194.27 [6533]P1(f324(f49(x65331,x65332),f50(x65331,x65332)))+~P1(f324(f324(f235(a1),x65331),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x65332)) % 194.45/194.27 [6559]P1(f324(f49(x65591,x65592),f47(x65591,x65592)))+~P1(f324(f324(f234(a1),f2(a1)),x65591))+~P1(f324(f324(f235(a1),f2(a1)),x65592)) % 194.45/194.27 [6603]~P86(x66031)+P1(f324(f324(f234(x66031),f324(f78(x66031),x66032)),f2(x66031)))+~P1(f324(f324(f234(x66031),f2(x66031)),x66032)) % 194.45/194.27 [6604]~P86(x66041)+P1(f324(f324(f235(x66041),f324(f78(x66041),x66042)),f2(x66041)))+~P1(f324(f324(f235(x66041),f2(x66041)),x66042)) % 194.45/194.27 [6620]E(f324(f324(f3(a920),f324(a106,x66201)),f324(a106,x66202)),f324(a106,f195(x66201,x66202)))+~P1(f324(f324(f234(a1),f2(a1)),x66202))+~P1(f324(f324(f234(a1),f2(a1)),x66201)) % 194.45/194.27 [6637]P1(f324(f324(f234(a1),f2(a1)),f195(x66371,x66372)))+~P1(f324(f324(f234(a1),f2(a1)),x66372))+~P1(f324(f324(f234(a1),f2(a1)),x66371)) % 194.45/194.27 [6674]~P1(f324(x66741,x66742))+P1(f324(x66741,f2(a920)))+P1(f324(x66741,f324(f324(f79(a920),f349(x66742,x66741)),f77(a920)))) % 194.45/194.27 [6759]E(f324(f105(a920),x67591),f324(f105(a920),x67592))+~P1(f324(f324(f234(a1),f324(f105(a1),x67592)),f2(a1)))+~P1(f324(a194,f324(f105(a1),x67591))) % 194.45/194.27 [6769]~E(x67691,f2(a920))+~E(f705(x67692,x67691),f2(a920))+E(f324(f142(a920,a920,f79(a920),x67691),x67692),f2(a920)) % 194.45/194.27 [6793]~P1(f324(f61(x67931),f871(x67932,x67931)))+~P1(f324(f61(f928(x67931,a916)),x67932))+P1(f324(f61(x67931),f37(f928(x67931,a916),x67932))) % 194.45/194.27 [6799]E(x67991,x67992)+P1(f324(f324(f235(a1),x67991),x67992))+~P1(f324(f324(f235(a1),x67991),f324(f324(f79(a1),x67992),f77(a1)))) % 194.45/194.27 [6800]P1(f324(f324(f234(a920),f324(a106,x68001)),f324(a106,x68002)))+~P1(f324(f324(f234(a1),f2(a1)),x68002))+~P1(f324(f324(f234(a1),x68001),x68002)) % 194.45/194.27 [6801]P1(f324(f324(f234(a920),f324(a106,x68011)),f324(a106,x68012)))+~P1(f324(f324(f235(a1),f2(a1)),x68011))+~P1(f324(f324(f234(a1),x68011),x68012)) % 194.45/194.27 [6803]P1(f324(f324(f235(a920),f324(a106,x68031)),f324(a106,x68032)))+~P1(f324(f324(f234(a1),f2(a1)),x68031))+~P1(f324(f324(f235(a1),x68031),x68032)) % 194.45/194.27 [6804]P1(f324(f324(f235(a920),f324(a106,x68041)),f324(a106,x68042)))+~P1(f324(f324(f235(a1),f2(a1)),x68042))+~P1(f324(f324(f235(a1),x68041),x68042)) % 194.45/194.27 [6816]E(f45(a920,f324(a106,x68161),f324(a106,x68162)),f324(a106,f45(a1,x68161,x68162)))+~P1(f324(f324(f234(a1),f2(a1)),x68162))+~P1(f324(f324(f234(a1),f2(a1)),x68161)) % 194.45/194.27 [6840]~P86(x68401)+~P1(f324(f324(f234(x68401),f324(f78(x68401),x68402)),f2(x68401)))+P1(f324(f324(f234(x68401),f2(x68401)),x68402)) % 194.45/194.27 [6841]~P86(x68411)+~P1(f324(f324(f235(x68411),f324(f78(x68411),x68412)),f2(x68411)))+P1(f324(f324(f235(x68411),f2(x68411)),x68412)) % 194.45/194.27 [6855]~P1(f324(f324(f235(a1),a82),x68552))+~P1(f324(f324(f235(a1),x68551),x68552))+P1(f324(f324(f235(a920),f324(f105(a920),x68551)),f324(f105(a920),x68552))) % 194.45/194.27 [6944]~P1(f324(f324(f234(a1),f2(a1)),x69441))+P1(f324(f324(f235(a920),f324(a106,x69441)),x69442))+~P1(f324(f324(f235(a1),x69441),f324(f102(a1),x69442))) % 194.45/194.27 [6949]P1(f324(x69491,x69492))+~P1(f324(x69491,f324(a22,f838(x69491,x69492))))+~P1(f324(f324(f326(a920),x69492),f242(f928(a920,a916)))) % 194.45/194.27 [6960]E(x69601,f2(a1))+E(f45(a1,x69602,x69601),f2(a1))+E(f324(f324(f3(a1),f324(f78(a1),f324(f324(f36(a1),x69602),x69601))),f77(a1)),f324(f324(f36(a1),x69602),f324(f78(a1),x69601))) % 194.45/194.27 [6974]~P1(f324(f324(f234(a1),f2(a1)),x69741))+~P1(f324(f324(f235(a920),f324(a106,x69741)),x69742))+P1(f324(f324(f235(a1),x69741),f324(f102(a1),x69742))) % 194.45/194.27 [7010]~P1(f324(f324(f234(a920),f324(a106,x70101)),f324(a106,x70102)))+~P1(f324(f324(f234(a1),f2(a1)),x70102))+P1(f324(f324(f234(a1),x70101),x70102)) % 194.45/194.27 [7011]~P1(f324(f324(f234(a920),f324(a106,x70111)),f324(a106,x70112)))+~P1(f324(f324(f235(a1),f2(a1)),x70111))+P1(f324(f324(f234(a1),x70111),x70112)) % 194.45/194.27 [7040]P1(f324(f324(f234(a1),x70401),x70402))+~P1(f324(f324(f234(a920),f324(f105(a920),x70401)),f324(f105(a920),x70402)))+P1(f324(f324(f234(a1),x70401),a82)) % 194.45/194.27 [7066]P1(f324(f324(f234(a1),f2(a1)),f45(a1,x70661,x70662)))+~P1(f324(f324(f234(a1),f2(a1)),x70662))+~P1(f324(f324(f234(a1),f2(a1)),x70661)) % 194.45/194.27 [7163]P1(f324(f324(f235(a1),a82),x71631))+~P1(f324(f324(f235(a1),x71632),x71631))+~P1(f324(f324(f235(a920),f324(f105(a920),x71632)),f324(f105(a920),x71631))) % 194.45/194.27 [7216]E(f324(f324(f252(a1,a1),f324(f324(f36(a1),x72161),x72162)),f45(a1,x72161,x72162)),f50(x72161,x72162))+~P1(f324(f324(f235(a1),x72161),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x72162)) % 194.45/194.27 [7236]E(f324(f324(f252(a1,a1),f324(f324(f36(a1),x72361),x72362)),f45(a1,x72361,x72362)),f47(x72361,x72362))+~P1(f324(f324(f234(a1),f2(a1)),x72362))+~P1(f324(f324(f234(a1),f2(a1)),x72361)) % 194.45/194.27 [7287]~P103(x72872)+E(x72871,f115(x72872))+E(f324(f142(x72872,x72872,f80(x72872),f324(f141(x72872),x72871)),f324(f171(x72872),x72871)),f324(f63(x72872,f80(x72872)),f324(f172(x72872),x72871))) % 194.45/194.27 [7408]~E(x74081,f2(a920))+E(f324(f142(a920,a920,f79(a920),x74081),x74082),f2(a920))+P1(f324(f324(f326(a920),f705(x74082,x74081)),f324(f172(a920),x74082))) % 194.45/194.27 [7459]~P1(f324(f324(f234(a1),x74591),f2(a1)))+P1(f324(f324(f234(a1),f324(f324(f36(a1),x74591),x74592)),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x74592)) % 194.45/194.27 [7460]~P1(f324(f324(f235(a1),x74602),f2(a1)))+P1(f324(f324(f234(a1),f324(f324(f36(a1),x74601),x74602)),f2(a1)))+~P1(f324(f324(f234(a1),f2(a1)),x74601)) % 194.45/194.27 [7461]~P1(f324(f324(f235(a1),x74612),f2(a1)))+P1(f324(f324(f235(a1),f324(f324(f36(a1),x74611),x74612)),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x74611)) % 194.45/194.27 [7463]~P1(f324(f324(f235(a1),x74631),f2(a1)))+P1(f324(f324(f235(a1),f324(f324(f36(a1),x74631),x74632)),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x74632)) % 194.45/194.27 [7469]P1(f324(f324(f326(f928(x74691,a916)),f871(x74692,x74691)),x74692))+~P1(f324(f61(f928(x74691,a916)),x74692))+P1(f324(f61(x74691),f37(f928(x74691,a916),x74692))) % 194.45/194.27 [7565]P22(x75651,x75651,x75652,f242(f928(x75651,a916)))+~E(f324(f307(x75651,x75651,x75652),f242(f928(x75651,a916))),f242(f928(x75651,a916)))+~P1(f324(f61(x75651),f242(f928(x75651,a916)))) % 194.45/194.27 [7687]~P22(x76871,x76871,x76872,f242(f928(x76871,a916)))+E(f324(f307(x76871,x76871,x76872),f242(f928(x76871,a916))),f242(f928(x76871,a916)))+~P1(f324(f61(x76871),f242(f928(x76871,a916)))) % 194.45/194.27 [7824]E(f324(f324(f36(a1),x78241),x78242),f324(f105(a1),a99))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),x78241),x78242)),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x78241)) % 194.45/194.27 [7881]~P1(f324(f324(f235(a1),x78812),f2(a1)))+~P1(f324(f324(f235(a1),f324(f324(f36(a1),x78811),x78812)),f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x78811)) % 194.45/194.27 [7886]E(f324(f324(f79(a1),x78861),x78862),f45(a1,x78861,x78862))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),x78861),x78862)),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x78861)) % 194.45/194.27 [7889]P1(f324(f324(f235(a1),x78891),f2(a1)))+~P1(f324(f324(f235(a1),f324(f324(f36(a1),x78891),x78892)),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x78892)) % 194.45/194.27 [8593]~P112(x85931)+P10(x85931,x85932)+~P1(f324(f324(f234(x85931),f324(f324(f164(x85931),x85932),f738(x85932,x85931))),f324(f324(f164(x85931),x85932),f739(x85932,x85931)))) % 194.45/194.27 [8594]~P112(x85941)+P10(x85941,x85942)+~P1(f324(f324(f234(x85941),f324(f324(f164(x85941),x85942),f746(x85942,x85941))),f324(f324(f164(x85941),x85942),f750(x85942,x85941)))) % 194.45/194.27 [5822]E(x58221,f2(a1))+~E(f45(a1,x58222,x58221),f2(a1))+E(f324(f324(f36(a1),x58222),f324(f78(a1),x58221)),f324(f78(a1),f324(f324(f36(a1),x58222),x58221))) % 194.45/194.27 [5840]~P39(x58402)+~P39(x58401)+P39(f324(f324(f103(f928(a1,a916)),x58401),x58402)) % 194.45/194.27 [5841]~P39(x58412)+~P39(x58411)+P39(f324(f324(f112(f928(a1,a916)),x58411),x58412)) % 194.45/194.27 [5859]~P70(x58591)+~P102(x58591)+E(f324(f78(x58591),f324(f324(f287(x58591),f77(x58591)),x58592)),f324(f324(f287(x58591),f324(f105(x58591),a99)),x58592)) % 194.45/194.27 [5978]E(x59781,f2(a1))+~E(f45(a1,x59782,x59781),f2(a1))+E(f324(f324(f36(a1),f324(f78(a1),x59782)),x59781),f324(f78(a1),f324(f324(f36(a1),x59782),x59781))) % 194.45/194.27 [6112]~P112(x61121)+P10(x61121,x61122)+P1(f324(f324(f235(a920),f739(x61122,x61121)),f324(f190(f921(x61121)),x61122))) % 194.45/194.27 [6113]~P112(x61131)+P10(x61131,x61132)+P1(f324(f324(f235(a920),f750(x61132,x61131)),f324(f190(f921(x61131)),x61132))) % 194.45/194.27 [6131]P25(a915,x61311,x61312)+~P25(a915,x61311,f849(x61311))+~P1(f324(f324(f326(f919(a915)),x61312),a931)) % 194.45/194.27 [6132]P25(a915,x61321,x61322)+~P25(a915,x61321,f858(x61321))+~P1(f324(f324(f326(f919(a915)),x61322),a929)) % 194.45/194.27 [6277]~P102(x62771)+~E(f324(f105(x62771),x62772),f2(x62771))+P27(x62771,f324(f105(x62771),f324(f324(f79(a1),x62772),f324(f78(a1),a82)))) % 194.45/194.27 [6278]~P102(x62781)+~E(f324(f105(x62781),x62782),f2(x62781))+P27(x62781,f324(f105(x62781),f324(f324(f79(a1),a82),f324(f78(a1),x62782)))) % 194.45/194.27 [6280]E(f324(a51,f47(f324(f78(a1),x62801),f324(f78(a1),x62802))),f46(x62801,x62802))+P1(f324(f324(f234(a1),f2(a1)),x62801))+P1(f324(f324(f235(a1),f2(a1)),x62802)) % 194.45/194.27 [6317]P25(a915,x63171,x63172)+P1(f324(f324(f326(f919(a915)),f849(x63171)),a929))+~P1(f324(f324(f326(f919(a915)),x63172),a931)) % 194.45/194.27 [6318]P25(a915,x63181,x63182)+P1(f324(f324(f326(f919(a915)),f858(x63181)),a930))+~P1(f324(f324(f326(f919(a915)),x63182),a929)) % 194.45/194.27 [6406]~E(x64062,f2(a920))+~E(x64061,f2(a920))+P1(f324(f324(f234(a1),f324(f102(a1),x64061)),f324(f78(a1),f324(f102(a1),x64062)))) % 194.45/194.27 [6435]E(f324(f324(f79(a920),f324(f105(a920),x64351)),f324(f105(a920),x64352)),f324(f105(a920),f324(f324(f79(a1),x64351),x64352)))+P1(f324(f324(f235(a1),x64351),a82))+P1(f324(f324(f235(a1),x64352),a82)) % 194.45/194.27 [6568]~P82(x65681)+~P1(f324(f324(f234(x65681),f2(x65681)),x65682))+P1(f324(f324(f234(x65681),f324(f78(x65681),x65682)),x65682)) % 194.45/194.27 [6569]~P82(x65691)+~P1(f324(f324(f235(x65691),f2(x65691)),x65692))+P1(f324(f324(f235(x65691),f324(f78(x65691),x65692)),x65692)) % 194.45/194.27 [6745]E(f324(f324(f3(a920),f324(a106,x67451)),f324(a106,x67452)),f324(a106,f324(f324(f3(a1),x67451),x67452)))+~P1(f324(f324(f234(a1),f2(a1)),x67452))+~P1(f324(f324(f234(a1),x67452),x67451)) % 194.45/194.27 [6777]E(f324(a106,f45(a1,f324(f105(a1),x67771),f324(f105(a1),x67772))),f45(a920,f324(f105(a920),x67771),f324(f105(a920),x67772)))+P1(f324(a194,f324(f105(a1),x67771)))+P1(f324(a194,f324(f105(a1),x67772))) % 194.45/194.27 [6794]~P82(x67941)+P1(f324(f324(f234(x67941),f2(x67941)),x67942))+~P1(f324(f324(f234(x67941),f324(f78(x67941),x67942)),x67942)) % 194.45/194.27 [6795]~P82(x67951)+P1(f324(f324(f235(x67951),f2(x67951)),x67952))+~P1(f324(f324(f235(x67951),f324(f78(x67951),x67952)),x67952)) % 194.45/194.27 [6808]~P82(x68081)+~P1(f324(f324(f234(x68081),f2(x68081)),x68082))+P1(f324(f324(f234(x68081),f2(x68081)),f324(f324(f79(x68081),x68082),x68082))) % 194.45/194.27 [6810]~P82(x68101)+~P1(f324(f324(f235(x68101),f2(x68101)),x68102))+P1(f324(f324(f235(x68101),f2(x68101)),f324(f324(f79(x68101),x68102),x68102))) % 194.45/194.27 [6822]E(f324(f324(f79(a920),f324(a106,x68221)),f324(a106,x68222)),f324(a106,f324(f324(f79(a1),x68221),x68222)))+~P1(f324(f324(f234(a1),f2(a1)),x68222))+~P1(f324(f324(f234(a1),f2(a1)),x68221)) % 194.45/194.27 [6833]E(x68331,f2(a920))+P1(f324(f324(f235(a920),f2(a920)),x68332))+~P1(f324(f324(f235(a920),f2(a920)),f324(f324(f244(a920),x68332),x68331))) % 194.45/194.27 [6865]~P102(x68651)+E(f324(f105(x68651),x68652),f2(x68651))+~P27(x68651,f324(f105(x68651),f324(f324(f79(a1),a82),f324(f78(a1),x68652)))) % 194.45/194.27 [6866]~P102(x68661)+E(f324(f105(x68661),x68662),f2(x68661))+~P27(x68661,f324(f105(x68661),f324(f324(f79(a1),x68662),f324(f78(a1),a82)))) % 194.45/194.27 [6922]~P1(f324(f61(x69221),x69222))+~P1(f324(f61(x69221),f242(f928(x69221,a916))))+P1(f324(f61(x69221),f324(f78(f928(x69221,a916)),x69222))) % 194.45/194.27 [6945]~P1(f324(f324(f235(a1),f2(a1)),x69452))+~P1(f324(f324(f234(a1),x69452),x69451))+P1(f324(f324(f235(a1),f2(a1)),f324(f324(f36(a1),x69451),x69452))) % 194.45/194.27 [6946]~P1(f324(f324(f234(a1),x69461),f2(a1)))+~P1(f324(f324(f235(a1),x69462),f2(a1)))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f36(a1),x69461),x69462))) % 194.45/194.27 [6984]~P1(f324(f324(f234(a1),f2(a1)),x69842))+~P1(f324(f324(f234(a1),f2(a1)),x69841))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f80(a1),x69841),x69842))) % 194.45/194.27 [6985]~P1(f324(f324(f234(a1),f2(a1)),x69852))+~P1(f324(f324(f234(a1),f2(a1)),x69851))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),x69851),x69852))) % 194.45/194.27 [6986]~P1(f324(f324(f234(a1),f2(a1)),x69862))+~P1(f324(f324(f234(a1),f2(a1)),x69861))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f36(a1),x69861),x69862))) % 194.45/194.27 [6987]~P1(f324(f324(f234(a1),f2(a1)),x69871))+~P1(f324(f324(f235(a1),f2(a1)),x69872))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f36(a1),x69871),x69872))) % 194.45/194.27 [6988]~P1(f324(f324(f235(a920),f2(a920)),x69882))+~P1(f324(f324(f235(a920),f2(a920)),x69881))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f80(a920),x69881),x69882))) % 194.45/194.27 [7053]E(x70531,f2(a1))+E(f45(a1,x70532,x70531),f2(a1))+E(f324(f324(f3(a1),f324(f78(a1),f324(f324(f36(a1),x70532),x70531))),f77(a1)),f324(f324(f36(a1),f324(f78(a1),x70532)),x70531)) % 194.45/194.27 [7107]P1(f324(f324(f235(a920),f2(a920)),x71071))+P1(f324(f324(f235(a920),f2(a920)),x71072))+~P1(f324(f324(f235(a920),f2(a920)),f324(f324(f79(a920),x71072),x71071))) % 194.45/194.27 [7111]~P82(x71111)+P1(f324(f324(f234(x71111),f2(x71111)),x71112))+~P1(f324(f324(f234(x71111),f2(x71111)),f324(f324(f79(x71111),x71112),x71112))) % 194.45/194.27 [7112]~P82(x71121)+P1(f324(f324(f235(x71121),f2(x71121)),x71122))+~P1(f324(f324(f235(x71121),f2(x71121)),f324(f324(f79(x71121),x71122),x71122))) % 194.45/194.27 [7164]~P1(f324(f61(x71641),x71642))+P1(f324(f61(x71641),f242(f928(x71641,a916))))+~P1(f324(f61(x71641),f324(f78(f928(x71641,a916)),x71642))) % 194.45/194.27 [7228]P1(f324(f324(f234(a1),x72281),f2(a1)))+~P1(f324(f324(f235(a1),x72282),f2(a1)))+~P1(f324(f324(f234(a1),f2(a1)),f324(f324(f36(a1),x72281),x72282))) % 194.45/194.27 [7234]~P1(f324(f324(f235(a1),f2(a1)),x72341))+P1(f324(f324(f234(a1),x72341),x72342))+~P1(f324(f324(f235(a1),f2(a1)),f324(f324(f36(a1),x72342),x72341))) % 194.45/194.27 [7235]~P1(f324(f324(f234(a1),f2(a1)),x72352))+P1(f324(f324(f234(a1),x72351),x72352))+~P1(f324(f324(f235(a1),f2(a1)),f324(f324(f36(a1),x72352),x72351))) % 194.45/194.27 [7264]P1(f324(f324(f234(a1),f2(a1)),x72641))+~P1(f324(f324(f235(a1),f2(a1)),x72642))+~P1(f324(f324(f234(a1),f2(a1)),f324(f324(f36(a1),x72641),x72642))) % 194.45/194.27 [7265]P1(f324(f324(f235(a1),f2(a1)),x72651))+~P1(f324(f324(f234(a1),f2(a1)),x72652))+~P1(f324(f324(f235(a1),f2(a1)),f324(f324(f36(a1),x72652),x72651))) % 194.45/194.27 [7718]~P1(f324(f61(x77182),f242(f928(x77182,a916))))+~P1(f324(f61(x77181),f242(f928(x77181,a916))))+P1(f324(f61(f926(x77181,x77182)),f242(f928(f926(x77181,x77182),a916)))) % 194.45/194.27 [7719]~P1(f324(f61(x77192),f242(f928(x77192,a916))))+~P1(f324(f61(x77191),f242(f928(x77191,a916))))+P1(f324(f61(f927(x77191,x77192)),f242(f928(f927(x77191,x77192),a916)))) % 194.45/194.27 [7789]~P1(f324(f324(f235(a920),f324(a114,f2(a920))),x77891))+~P1(f324(f324(f235(a920),f324(a114,f2(a920))),x77892))+P1(f324(f324(f235(a920),x77891),f324(f324(f80(a920),x77892),x77891))) % 194.45/194.27 [7790]~P1(f324(f324(f235(a920),f324(a114,f2(a920))),x77901))+~P1(f324(f324(f235(a920),f324(a114,f2(a920))),x77902))+P1(f324(f324(f235(a920),x77901),f324(f324(f80(a920),x77901),x77902))) % 194.45/194.27 [7823]E(f324(f35(x78231),f242(f928(x78231,a916))),f324(a114,f2(a920)))+P1(f324(f61(x78232),f242(f928(x78232,a916))))+~P1(f324(f61(f928(x78232,x78231)),f242(f928(f928(x78232,x78231),a916)))) % 194.45/194.27 [7950]~P1(f324(f324(f234(a920),f324(a114,f2(a920))),x79501))+~P1(f324(f324(f234(a920),f324(a114,f2(a920))),x79502))+P1(f324(f324(f234(a920),f324(a114,f2(a920))),f324(f324(f80(a920),x79501),x79502))) % 194.45/194.27 [7951]~P1(f324(f324(f235(a920),f324(a114,f2(a920))),x79512))+~P1(f324(f324(f235(a920),f324(a114,f2(a920))),x79511))+P1(f324(f324(f235(a920),f324(a114,f2(a920))),f324(f324(f80(a920),x79511),x79512))) % 194.45/194.27 [8302]~P113(x83021)+P38(a920,x83021,x83022)+~P1(f324(f324(f234(x83021),f324(x83022,f374(x83022,x83021))),f324(x83022,f324(a114,f374(x83022,x83021))))) % 194.45/194.27 [8642]E(x86421,f115(x86422))+~P1(f324(f137(x86422),x86421))+E(f177(x86422,f324(f324(f10(a916,a916,x86422),a319),f324(f324(f9(x86422,x86422,a916),a321),f144(x86422,x86421))),x86421),f116(x86422,x86421)) % 194.45/194.27 [8739]~P39(x87392)+~P39(x87391)+E(f324(f307(a920,a1,f102(a1)),f324(f324(f103(f928(a920,a916)),f324(f307(a1,a920,a106),x87391)),f324(f307(a1,a920,a106),x87392))),f324(f324(f103(f928(a1,a916)),x87391),x87392)) % 194.45/194.27 [8740]~P39(x87402)+~P39(x87401)+E(f324(f307(a920,a1,f102(a1)),f324(f324(f112(f928(a920,a916)),f324(f307(a1,a920,a106),x87401)),f324(f307(a1,a920,a106),x87402))),f324(f324(f112(f928(a1,a916)),x87401),x87402)) % 194.45/194.27 [9420]~P102(x94201)+~E(f324(f105(x94201),x94202),f77(x94201))+P27(x94201,f324(f105(x94201),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f78(a1),x94202)))) % 194.45/194.27 [9666]~P102(x96661)+E(f324(f105(x96661),x96662),f77(x96661))+~P27(x96661,f324(f105(x96661),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f78(a1),x96662)))) % 194.45/194.27 [10408]E(x104081,f2(a1))+E(x104082,f2(a1))+E(f324(f258(a1,a1,a1,a1,f31(a1),f324(f80(a1),f81(a1,x104082))),f324(f324(f324(f96(f927(a1,a1)),f324(f324(a321,f81(a1,x104081)),f81(a1,x104082))),f53(x104081,x104082)),f324(f324(f257(a1,a1,f927(a1,a1)),f324(f324(f20(a1,f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),f324(f324(f10(f928(a1,f928(f927(a1,a1),f927(a1,a1))),f928(f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),a1),f20(a1,f927(a1,a1),f927(a1,a1))),f324(f324(f10(f927(a1,a1),f928(a1,f928(f927(a1,a1),f927(a1,a1))),a1),f324(f9(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f324(f324(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f324(f324(f9(a1,a1,a916),a321),f2(a1))))),f324(f324(f9(a1,a1,f927(a1,a1)),f324(f324(f10(a1,f928(a1,f927(a1,a1)),a1),f252(a1,a1)),f78(a1))),f2(a1))))),f324(f324(f9(a1,f928(a1,a1),f928(a1,f927(a1,a1))),f324(f324(f10(f928(a1,f927(a1,a1)),f928(f928(a1,a1),f928(a1,f927(a1,a1))),a1),f10(a1,f927(a1,a1),a1)),f324(f324(f10(a1,f928(a1,f927(a1,a1)),a1),f252(a1,a1)),f324(f324(f9(a1,a1,a1),f324(f324(f10(a1,f928(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f324(f3(a1),f324(f75(a1),x104082))))),f53(x104081,x104082)))),f46(x104081,x104082)) % 194.45/194.27 [10409]E(x104091,f2(a1))+E(x104092,f2(a1))+E(f324(f258(a1,a1,a1,a1,f31(a1),f324(f80(a1),f81(a1,x104092))),f324(f324(f324(f96(f927(a1,a1)),f324(f324(a323,f324(f324(a322,f324(f324(f235(a1),f2(a1)),x104092)),f324(f324(f234(a1),f2(a1)),x104091))),f324(f324(a322,f324(f324(f235(a1),x104092),f2(a1))),f324(f324(f235(a1),x104091),f2(a1))))),f53(x104091,x104092)),f324(f324(f257(a1,a1,f927(a1,a1)),f324(f324(f20(a1,f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),f324(f324(f10(f928(a1,f928(f927(a1,a1),f927(a1,a1))),f928(f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),a1),f20(a1,f927(a1,a1),f927(a1,a1))),f324(f324(f10(f927(a1,a1),f928(a1,f928(f927(a1,a1),f927(a1,a1))),a1),f324(f9(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f324(f324(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f324(f324(f9(a1,a1,a916),a321),f2(a1))))),f324(f324(f9(a1,a1,f927(a1,a1)),f324(f324(f10(a1,f928(a1,f927(a1,a1)),a1),f252(a1,a1)),f78(a1))),f2(a1))))),f324(f324(f9(a1,f928(a1,a1),f928(a1,f927(a1,a1))),f324(f324(f10(f928(a1,f927(a1,a1)),f928(f928(a1,a1),f928(a1,f927(a1,a1))),a1),f10(a1,f927(a1,a1),a1)),f324(f324(f10(a1,f928(a1,f927(a1,a1)),a1),f252(a1,a1)),f324(f324(f9(a1,a1,a1),f324(f324(f10(a1,f928(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f324(f3(a1),f324(f75(a1),x104092))))),f53(x104091,x104092)))),f46(x104091,x104092)) % 194.45/194.27 [5848]~P125(x58481)+~P102(x58481)+E(f324(f75(x58481),f324(f324(f244(x58481),f324(f105(x58481),a99)),x58482)),f77(x58481)) % 194.45/194.27 [6348]~P144(x63481)+~P1(f324(f324(f235(a1),x63482),f2(a1)))+E(f324(f78(x63481),f324(f102(x63481),f324(a106,f324(f78(a1),x63482)))),f324(f104(x63481),x63482)) % 194.45/194.27 [6552]P1(f324(f324(f234(a101),x65521),f77(a101)))+E(f324(f324(f79(a101),f77(a101)),f270(x65521,f324(f324(f36(a101),x65522),x65521))),f270(x65521,x65522))+P1(f324(f324(f235(a101),x65522),x65521)) % 194.45/194.27 [7152]~P100(x71521)+~P1(f324(f324(f326(x71521),x71522),f111(x71521)))+~E(f324(f324(f79(x71521),f324(f324(f79(x71521),f77(x71521)),x71522)),x71522),f2(x71521)) % 194.45/194.27 [7266]~P1(f324(f324(f234(a1),x72662),f2(a1)))+~P1(f324(f324(f235(a1),x72661),f2(a1)))+E(f324(f251(a1,a1),f324(a51,f47(f324(f78(a1),x72661),f324(f78(a1),x72662)))),f324(f324(f36(a1),x72661),x72662)) % 194.45/194.27 [7283]~P1(f324(f324(f234(a1),x72832),f2(a1)))+~P1(f324(f324(f235(a1),x72831),f2(a1)))+E(f324(f256(a1,a1),f324(a51,f47(f324(f78(a1),x72831),f324(f78(a1),x72832)))),f45(a1,x72831,x72832)) % 194.45/194.27 [7289]~P1(f324(f324(f235(a1),x72892),f2(a1)))+E(f324(f251(a1,a1),f324(a51,f50(f324(f78(a1),x72891),f324(f78(a1),x72892)))),f324(f324(f36(a1),x72891),x72892))+~P1(f324(f324(f235(a1),f2(a1)),x72891)) % 194.45/194.27 [7307]~P1(f324(f324(f235(a1),x73072),f2(a1)))+E(f324(f256(a1,a1),f324(a51,f50(f324(f78(a1),x73071),f324(f78(a1),x73072)))),f45(a1,x73071,x73072))+~P1(f324(f324(f235(a1),f2(a1)),x73071)) % 194.45/194.27 [7361]E(f324(f324(f36(a1),f324(f324(f244(a1),x73611),x73612)),x73611),f324(f324(f244(a1),x73611),f324(f324(f3(a920),x73612),f324(a114,f2(a920)))))+~P1(f324(f324(f235(a920),f2(a920)),x73612))+~P1(f324(f324(f235(a1),f2(a1)),x73611)) % 194.45/194.27 [7466]~P1(f324(f324(f235(a920),f2(a920)),x74661))+~P1(f324(f324(f235(a920),f2(a920)),x74662))+P1(f324(f324(f235(a920),f324(f324(f3(a920),x74661),x74662)),x74661)) % 194.45/194.27 [7467]~P1(f324(f324(f235(a920),f2(a920)),x74671))+~P1(f324(f324(f235(a920),f77(a920)),x74672))+P1(f324(f324(f235(a920),f324(f324(f36(a920),x74671),x74672)),x74671)) % 194.45/194.27 [7468]~P1(f324(f324(f235(a1),f2(a1)),x74681))+~P1(f324(f324(f235(a1),f77(a1)),x74682))+P1(f324(f324(f235(a1),f324(f324(f36(a1),x74681),x74682)),x74681)) % 194.45/194.27 [7614]E(x76141,f2(a920))+~E(x76142,f2(a1))+~P1(f324(f324(f235(a1),f2(a1)),f324(f324(f244(a1),f324(f75(a1),x76142)),x76141))) % 194.45/194.27 [7985]~P1(f324(x79851,x79852))+P1(f324(x79851,f2(a920)))+E(f324(a114,f238(a920,f324(f324(f10(a920,a916,a920),x79851),a114))),f238(a920,x79851)) % 194.45/194.27 [8034]~E(x80342,f115(f921(x80341)))+E(f324(f190(f921(f921(x80341))),f179(x80341,x80342)),f2(a920))+~P10(a920,f324(f168(a920),f324(f324(f154(f921(x80341),a920),f190(f921(x80341))),x80342))) % 194.45/194.27 [8289]P1(f324(x82891,x82892))+~P1(f324(x82891,f324(a108,f563(x82891,x82892))))+~P1(f324(f324(f326(f928(f927(a920,a920),a916)),x82892),a100)) % 194.45/194.27 [8306]E(x83061,f115(f921(x83062)))+E(f324(f190(f921(x83062)),f324(f324(f164(f921(x83062)),x83061),f2(a920))),f324(f190(f921(f921(x83062))),f179(x83062,x83061)))+~P10(a920,f324(f168(a920),f324(f324(f154(f921(x83062),a920),f190(f921(x83062))),x83061))) % 194.45/194.27 [8447]~P36(x84471,x84472)+~P37(x84471,x84472)+P36(x84471,f324(f324(f3(f928(f927(x84471,x84471),a916)),x84472),f304(x84471,f189(f928(f927(x84471,x84471),a916))))) % 194.45/194.27 [9024]~P1(f324(f61(x90241),f324(f262(x90241),x90242)))+~P1(f324(f61(x90241),f242(f928(x90241,a916))))+P1(f324(f61(x90241),f324(f262(x90241),f324(f324(f10(a916,a916,x90241),a319),x90242)))) % 194.45/194.27 [9090]E(f324(f324(f252(a920,a920),f324(a114,f324(f324(f36(a920),f324(f324(f3(a920),x90901),x90902)),x90902))),f45(a920,f324(f324(f3(a920),x90901),x90902),x90902)),f84(f927(a920,a920),f48(x90901,x90902)))+~P1(f324(f324(f235(a920),f2(a920)),x90902))+~P1(f324(f324(f234(a920),x90902),x90901)) % 194.45/194.27 [9386]~P1(f324(f61(x93861),f324(f262(x93861),x93862)))+P1(f324(f61(x93861),f242(f928(x93861,a916))))+~P1(f324(f61(x93861),f324(f262(x93861),f324(f324(f10(a916,a916,x93861),a319),x93862)))) % 194.45/194.27 [10111]P24(x101111,x101112)+~P35(x101111,f324(f251(f928(f927(x101111,x101111),a916),f928(f927(x101111,x101111),a916)),x101112))+~P1(f324(f324(f234(f928(f927(x101111,x101111),a916)),f324(f324(f286(x101111,x101111,x101111),f324(f251(f928(f927(x101111,x101111),a916),f928(f927(x101111,x101111),a916)),x101112)),f324(f256(f928(f927(x101111,x101111),a916),f928(f927(x101111,x101111),a916)),x101112))),f324(f251(f928(f927(x101111,x101111),a916),f928(f927(x101111,x101111),a916)),x101112))) % 194.45/194.27 [7391]~P1(f324(f324(f235(a920),f2(a920)),x73912))+P1(f324(f324(f235(a920),x73911),x73912))+E(f324(a114,f324(f324(f36(a920),f324(f324(f3(a920),x73911),x73912)),x73912)),f324(f324(f36(a920),x73911),x73912)) % 194.45/194.27 [7534]~P1(f324(f324(f235(a920),f2(a920)),x75342))+~P1(f324(f324(f234(a920),x75342),x75341))+E(f324(a114,f324(f324(f36(a920),f324(f324(f3(a920),x75341),x75342)),x75342)),f324(f324(f36(a920),x75341),x75342)) % 194.45/194.27 [8511]~P102(x85111)+~P100(x85111)+~P27(x85111,f324(f105(x85111),f324(f324(f3(a1),f324(f324(f79(a1),x85112),x85112)),a99))) % 194.45/194.27 [9282]E(x92821,f2(a920))+E(f324(f324(f257(a920,a920,f927(a920,a920)),f324(f324(f10(a920,f928(a920,f927(a920,a920)),a920),f252(a920,a920)),a114)),f84(f927(a920,a920),f48(f324(f324(f3(a920),x92822),x92821),x92821))),f84(f927(a920,a920),f48(x92822,x92821)))+P1(f324(f324(f235(a920),x92822),x92821)) % 194.45/194.27 [9474]~P36(x94741,x94742)+~P52(x94741,x94742)+P1(f324(f324(f234(f928(f927(x94741,x94741),a916)),f324(f324(f286(x94741,x94741,x94741),f324(f284(x94741,x94741),x94742)),x94742)),x94742)) % 194.45/194.27 [9730]P1(f324(x97302,f674(x97302,x97301)))+P1(f324(x97301,f674(x97302,x97301)))+E(f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x97301)),f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x97302))) % 194.45/194.27 [9734]~P1(f324(x97342,f674(x97342,x97341)))+~P1(f324(x97341,f674(x97342,x97341)))+E(f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x97341)),f324(f262(a1),f324(f324(f20(a1,a916,a916),f324(f324(f10(a916,f928(a916,a916),a1),a322),f324(f234(a1),f2(a1)))),x97342))) % 194.45/194.27 [7747]~P71(x77471)+~P102(x77471)+E(f324(f324(f287(x77471),x77472),f324(f105(x77471),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))),x77472) % 194.45/194.27 [9419]~P102(x94191)+~E(f324(f105(x94191),x94192),f77(x94191))+P27(x94191,f324(f105(x94191),f324(f324(f79(a1),x94192),f324(f78(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.27 [9606]~P143(x96061)+~E(x96062,f77(x96061))+E(f324(f324(f244(x96061),x96062),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f77(x96061)) % 194.45/194.27 [9607]~P143(x96071)+~E(x96072,f2(x96071))+E(f324(f324(f244(x96071),x96072),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f2(x96071)) % 194.45/194.27 [9622]~P143(x96221)+~E(x96222,f324(f78(x96221),f77(x96221)))+E(f324(f324(f244(x96221),x96222),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f77(x96221)) % 194.45/194.27 [9667]~P102(x96671)+E(f324(f105(x96671),x96672),f77(x96671))+~P27(x96671,f324(f105(x96671),f324(f324(f79(a1),x96672),f324(f78(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.27 [10053]~P125(x100532)+E(x100531,f2(x100532))+P1(f324(f324(f235(x100532),f2(x100532)),f324(f324(f244(x100532),x100531),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.27 [10110]~P125(x101102)+~E(x101101,f2(x101102))+~P1(f324(f324(f235(x101102),f2(x101102)),f324(f324(f244(x101102),x101101),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.27 [10135]P1(f324(f324(f234(a1),x101351),f2(a1)))+P1(f324(f324(f235(a1),x101352),x101351))+E(f324(f43(x101351),f47(x101352,f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101351))),f47(x101352,x101351)) % 194.45/194.27 [10136]~P1(f324(f324(f235(a1),f2(a1)),x101361))+P1(f324(f324(f235(a1),x101362),x101361))+E(f324(f43(x101361),f47(x101362,f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101361))),f47(x101362,x101361)) % 194.45/194.27 [10137]P1(f324(f324(f234(a1),x101371),f2(a1)))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),x101372),x101371)))+E(f324(f43(x101371),f50(x101372,f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101371))),f50(x101372,x101371)) % 194.45/194.27 [10138]~P1(f324(f324(f235(a1),f2(a1)),x101381))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),x101382),x101381)))+E(f324(f43(x101381),f50(x101382,f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101381))),f50(x101382,x101381)) % 194.45/194.27 [10139]~P114(x101391)+~P1(f324(f324(f234(a1),f2(a1)),x101392))+E(f324(f102(x101391),f324(a106,f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x101392))),f324(f324(f79(x101391),f324(f102(x101391),f324(a106,x101392))),f324(f102(x101391),f324(a106,x101392)))) % 194.45/194.27 [5176]~P149(x51761,x51763,x51762)+~E(x51763,f2(a1))+P1(f324(x51761,x51762)) % 194.45/194.27 [5305]~P112(x53051)+~P10(x53051,x53053)+P10(x53051,f170(x53051,x53052,x53053)) % 194.45/194.27 [5306]~P112(x53061)+~P10(x53061,x53063)+P10(x53061,f177(x53061,x53062,x53063)) % 194.45/194.27 [4869]~P74(x48692)+~E(x48693,f324(f78(x48692),x48691))+E(x48691,f324(f78(x48692),x48693)) % 194.45/194.27 [4871]~P74(x48711)+~E(f324(f78(x48711),x48713),x48712)+E(f324(f78(x48711),x48712),x48713) % 194.45/194.27 [4950]~P90(x49503)+E(x49501,x49502)+~E(f324(f78(x49503),x49501),f324(f78(x49503),x49502)) % 194.45/194.27 [4951]~P74(x49513)+E(x49511,x49512)+~E(f324(f78(x49513),x49511),f324(f78(x49513),x49512)) % 194.45/194.27 [4952]~P108(x49523)+E(x49521,x49522)+~E(f324(f102(x49523),x49521),f324(f102(x49523),x49522)) % 194.45/194.27 [4953]~P100(x49533)+E(x49531,x49532)+~E(f324(f104(x49533),x49531),f324(f104(x49533),x49532)) % 194.45/194.27 [4954]~P112(x49543)+E(x49541,x49542)+~E(f324(f280(x49543),x49541),f324(f280(x49543),x49542)) % 194.45/194.27 [4955]~P112(x49553)+E(x49551,x49552)+~E(f324(f298(x49553),x49551),f324(f298(x49553),x49552)) % 194.45/194.27 [4956]~P112(x49563)+E(x49561,x49562)+~E(f324(f301(x49563),x49561),f324(f301(x49563),x49562)) % 194.45/194.27 [4957]~P112(x49573)+E(x49571,x49572)+~E(f324(f281(x49573),x49571),f324(f281(x49573),x49572)) % 194.45/194.27 [5059]~P69(x50591)+~P1(f324(x50592,x50593))+P1(f324(f56(x50591),x50592)) % 194.45/194.27 [5096]~P69(x50963)+P1(f324(x50961,x50962))+~P1(f324(f57(x50963),x50961)) % 194.45/194.27 [5195]~P150(x51951,x51952,x51953)+~E(x51952,f2(a1))+P1(f324(x51951,f2(a1))) % 194.45/194.27 [5231]~P120(x52312)+~P1(f324(x52311,x52313))+P1(f324(x52311,f238(x52312,x52311))) % 194.45/194.27 [5238]~E(x52381,f2(a920))+E(f332(x52381,x52382,x52383),f189(f928(x52383,a916)))+~E(f324(f35(x52383),x52382),f324(a114,x52381)) % 194.45/194.27 [5390]~E(x53902,f2(a920))+E(f324(f251(a920,a920),x53901),f2(a920))+~P1(f324(f48(x53903,x53902),x53901)) % 194.45/194.27 [5434]P1(f324(x54341,x54342))+~E(x54343,f324(f102(a1),x54342))+~P1(f324(x54341,f324(a106,x54343))) % 194.45/194.27 [5911]~E(x59113,f2(a920))+~P1(f324(x59111,x59112))+P1(f324(x59111,f45(a920,x59112,x59113))) % 194.45/194.27 [5969]~P120(x59691)+~P1(f324(x59692,x59693))+~P1(f324(f324(f235(x59691),x59693),f238(x59691,x59692))) % 194.45/194.27 [6145]~P109(x61452)+~P109(x61451)+E(f131(x61451,x61452,f132(x61451,x61453),f132(x61452,x61453)),f132(f927(x61451,x61452),x61453)) % 194.45/194.27 [6329]~E(x63293,f2(a920))+P1(f324(x63291,x63292))+~P1(f324(x63291,f45(a920,x63292,x63293))) % 194.45/194.27 [6341]~P2(x63411)+~P1(f324(f324(f234(x63411),x63412),f324(x63413,x63412)))+P1(f324(f324(f234(x63411),x63412),f98(x63411,x63413))) % 194.45/194.27 [7009]E(x70091,f2(a920))+~P1(f324(x70092,f371(x70091,x70093,x70092)))+P1(f324(x70092,f45(a920,x70093,x70091))) % 194.45/194.27 [7117]~P2(x71171)+~P1(f324(f324(f234(x71171),x71172),f423(x71173,x71172,x71171)))+P1(f324(f324(f234(x71171),x71172),f38(x71171,x71173))) % 194.45/194.27 [7118]~P2(x71181)+~P1(f324(f324(f234(x71181),x71182),f583(x71182,x71183,x71181)))+P1(f324(f324(f234(x71181),x71182),f38(x71181,x71183))) % 194.45/194.27 [7120]~P1(f324(x71201,x71202))+~P1(f324(x71201,f371(x71203,x71202,x71201)))+P1(f324(x71201,f45(a920,x71202,x71203))) % 194.45/194.27 [7222]E(x72221,f115(x72222))+E(f324(f324(f151(x72222),f719(x72223,x72221,x72222)),f723(x72223,x72221,x72222)),x72221)+~P1(f324(f324(f326(f921(x72222)),x72221),f161(x72222,x72223))) % 194.45/194.27 [7252]~P144(x72521)+~P1(f324(f324(f326(x72521),x72522),f111(x72521)))+P1(f324(f324(f326(x72521),f324(f324(f244(x72521),x72522),x72523)),f111(x72521))) % 194.45/194.27 [7583]P35(x75831,x75832)+~P1(f324(f324(f326(x75831),x75833),f629(x75832,x75831)))+P1(f324(f324(f326(x75831),f643(x75832,x75831,x75833)),f629(x75832,x75831))) % 194.45/194.27 [7851]E(x78511,f115(x78512))+~P1(f324(f324(f326(f921(x78512)),x78511),f161(x78512,x78513)))+P1(f324(f324(f326(f921(x78512)),f723(x78513,x78511,x78512)),f161(x78512,x78513))) % 194.45/194.27 [7903]E(x79031,f2(a920))+E(f324(f324(f79(a920),f324(f324(f80(a920),x79031),f372(x79031,x79032,x79033))),f371(x79031,x79032,x79033)),x79032)+P1(f324(x79033,f45(a920,x79032,x79031))) % 194.45/194.27 [7944]~P1(f324(x79443,x79442))+E(f324(f324(f79(a920),f324(f324(f80(a920),x79441),f372(x79441,x79442,x79443))),f371(x79441,x79442,x79443)),x79442)+P1(f324(x79443,f45(a920,x79442,x79441))) % 194.45/194.27 [8092]P1(f324(f324(f235(a1),x80921),f359(x80922,x80923,x80921)))+P1(f324(f324(x80923,f324(f324(f36(a1),x80922),x80921)),f45(a1,x80922,x80921)))+~P1(f324(f324(f235(a1),x80921),f2(a1))) % 194.45/194.27 [8362]P1(f324(f324(x83622,f324(f324(f36(a1),x83621),x83623)),f45(a1,x83621,x83623)))+~P1(f324(f324(f235(a1),x83623),f2(a1)))+P1(f324(f324(f234(a1),f359(x83621,x83622,x83623)),f2(a1))) % 194.45/194.27 [8547]E(f324(f324(f79(a1),f324(f324(f80(a1),x85471),f362(x85472,x85473,x85471))),f359(x85472,x85473,x85471)),x85472)+P1(f324(f324(x85473,f324(f324(f36(a1),x85472),x85471)),f45(a1,x85472,x85471)))+~P1(f324(f324(f235(a1),x85471),f2(a1))) % 194.45/194.27 [8787]~P1(f324(f324(x87871,f362(x87872,x87871,x87873)),f359(x87872,x87871,x87873)))+P1(f324(f324(x87871,f324(f324(f36(a1),x87872),x87873)),f45(a1,x87872,x87873)))+~P1(f324(f324(f235(a1),x87873),f2(a1))) % 194.45/194.27 [9037]~P112(x90371)+~P10(x90371,x90373)+P10(x90371,f149(x90371,x90371,f7(x90371),x90372,x90373)) % 194.45/194.27 [9552]~P130(x95522)+E(x95521,f2(x95522))+~P1(f324(f324(f234(x95522),f324(f324(f79(x95522),f324(f324(f80(x95522),x95523),x95523)),f324(f324(f80(x95522),x95521),x95521))),f2(x95522))) % 194.45/194.27 [9553]~P130(x95532)+E(x95531,f2(x95532))+~P1(f324(f324(f234(x95532),f324(f324(f79(x95532),f324(f324(f80(x95532),x95531),x95531)),f324(f324(f80(x95532),x95533),x95533))),f2(x95532))) % 194.45/194.27 [10344]~P125(x103441)+~P1(f324(f324(f235(x103441),x103442),f2(x103441)))+P1(f324(f324(f235(x103441),f324(f324(f244(x103441),x103442),f324(a114,f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x103443)))),f2(x103441))) % 194.45/194.27 [10353]~P125(x103532)+E(x103531,f2(x103532))+~P1(f324(f324(f234(x103532),f324(f324(f79(x103532),f324(f324(f244(x103532),x103533),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x103532),x103531),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f2(x103532))) % 194.45/194.27 [10354]~P125(x103542)+E(x103541,f2(x103542))+~P1(f324(f324(f234(x103542),f324(f324(f79(x103542),f324(f324(f244(x103542),x103541),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x103542),x103543),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f2(x103542))) % 194.45/194.27 [4905]~E(x49052,x49053)+~P65(x49051)+E(f324(f324(f3(x49051),x49052),x49053),f2(x49051)) % 194.45/194.27 [4906]~E(x49062,x49063)+~P74(x49061)+E(f324(f324(f3(x49061),x49062),x49063),f2(x49061)) % 194.45/194.27 [4919]~P147(x49191)+~E(x49193,f2(x49191))+E(f324(f324(f79(x49191),x49192),x49193),x49192) % 194.45/194.27 [4936]~P145(x49361)+~E(x49363,f2(x49361))+E(f324(f324(f80(x49361),x49362),x49363),f2(x49361)) % 194.45/194.27 [4937]~P145(x49371)+~E(x49372,f2(x49371))+E(f324(f324(f80(x49371),x49372),x49373),f2(x49371)) % 194.45/194.27 [4959]~E(x49593,f115(x49591))+~E(x49592,f115(x49591))+E(f324(f324(f134(x49591),x49592),x49593),f115(x49591)) % 194.45/194.27 [5049]~P147(x50492)+E(x50491,f2(x50492))+~E(f324(f324(f79(x50492),x50493),x50491),x50493) % 194.45/194.27 [5050]~P74(x50501)+~E(x50502,f324(f78(x50501),x50503))+E(f324(f324(f79(x50501),x50502),x50503),f2(x50501)) % 194.45/194.27 [5057]E(x50571,f115(x50572))+E(x50573,f2(a920))+~E(f324(f324(f175(x50572),x50573),x50571),f115(x50572)) % 194.45/194.27 [5063]~P65(x50633)+E(x50631,x50632)+~E(f324(f324(f3(x50633),x50631),x50632),f2(x50633)) % 194.45/194.27 [5064]~P74(x50643)+E(x50641,x50642)+~E(f324(f324(f3(x50643),x50641),x50642),f2(x50643)) % 194.45/194.27 [5078]~P143(x50782)+E(x50781,f2(x50782))+~E(f324(f324(f244(x50782),x50781),x50783),f2(x50782)) % 194.45/194.27 [5079]~P85(x50792)+E(x50791,f189(x50792))+~E(f324(f324(f112(x50792),x50793),x50791),f189(x50792)) % 194.45/194.27 [5080]~P85(x50802)+E(x50801,f189(x50802))+~E(f324(f324(f112(x50802),x50801),x50803),f189(x50802)) % 194.45/194.27 [5081]~P84(x50812)+E(x50811,f242(x50812))+~E(f324(f324(f103(x50812),x50813),x50811),f242(x50812)) % 194.45/194.27 [5082]~P84(x50822)+E(x50821,f242(x50822))+~E(f324(f324(f103(x50822),x50821),x50823),f242(x50822)) % 194.45/194.27 [5150]~P74(x51502)+E(x51501,f324(f78(x51502),x51503))+~E(f324(f324(f79(x51502),x51501),x51503),f2(x51502)) % 194.45/194.27 [5151]~P74(x51511)+E(f324(f78(x51511),x51512),x51513)+~E(f324(f324(f79(x51511),x51512),x51513),f2(x51511)) % 194.45/194.27 [5153]~E(x51532,x51533)+~P61(x51531)+P1(f324(f324(f234(x51531),x51532),x51533)) % 194.45/194.27 [5155]~E(x51552,x51553)+~P113(x51551)+P1(f324(f324(f234(x51551),x51552),x51553)) % 194.45/194.27 [5255]~P116(x52551)+~E(x52552,f324(f78(x52551),x52553))+E(f324(f324(f80(x52551),x52552),x52552),f324(f324(f80(x52551),x52553),x52553)) % 194.45/194.27 [5263]~P112(x52631)+~P10(x52631,x52633)+P10(x52631,f324(f324(f175(x52631),x52632),x52633)) % 194.45/194.27 [5264]~P112(x52641)+~P10(x52641,x52643)+P10(x52641,f324(f324(f138(x52641),x52642),x52643)) % 194.45/194.27 [5303]E(x53031,x53032)+E(x53033,f2(a920))+~E(f324(f324(f80(a920),x53033),x53031),f324(f324(f80(a920),x53033),x53032)) % 194.45/194.27 [5304]E(x53041,x53042)+E(x53043,f2(a920))+~E(f324(f324(f80(a920),x53041),x53043),f324(f324(f80(a920),x53042),x53043)) % 194.45/194.27 [5383]~E(x53832,x53833)+~P113(x53831)+E(f300(x53831,x53832,x53833),f324(f324(f306(x53831),x53832),f189(f928(x53831,a916)))) % 194.45/194.27 [5432]~E(x54321,x54322)+~P112(x54323)+~P1(f324(f324(f235(x54323),x54321),x54322)) % 194.45/194.27 [5433]~E(x54331,x54332)+~P113(x54333)+~P1(f324(f324(f235(x54333),x54331),x54332)) % 194.45/194.27 [5445]~P113(x54451)+E(f324(f299(x54451,x54452),x54453),f189(f928(x54451,a916)))+P1(f324(f324(f235(x54451),x54452),x54453)) % 194.45/194.27 [5493]~P113(x54931)+E(f300(x54931,x54932,x54933),f189(f928(x54931,a916)))+P1(f324(f324(f234(x54931),x54932),x54933)) % 194.45/194.27 [5494]~P113(x54941)+E(f302(x54941,x54942,x54943),f189(f928(x54941,a916)))+P1(f324(f324(f235(x54941),x54942),x54943)) % 194.45/194.27 [5495]~P113(x54951)+E(f189(f928(x54951,a916)),f300(x54951,x54952,x54953))+P1(f324(f324(f234(x54951),x54952),x54953)) % 194.45/194.27 [5496]~P113(x54961)+E(f189(f928(x54961,a916)),f302(x54961,x54962,x54963))+P1(f324(f324(f235(x54961),x54962),x54963)) % 194.45/194.27 [5503]~P63(x55031)+~E(f324(f324(f103(x55031),x55032),x55033),x55032)+P1(f324(f324(f234(x55031),x55032),x55033)) % 194.45/194.27 [5504]~P107(x55041)+~E(f324(f324(f112(x55041),x55042),x55043),x55043)+P1(f324(f324(f234(x55041),x55042),x55043)) % 194.45/194.27 [5505]~P112(x55051)+~E(f324(f324(f188(x55051),x55052),x55053),x55052)+P1(f324(f324(f234(x55051),x55052),x55053)) % 194.45/194.27 [5506]~P112(x55061)+~E(f324(f324(f233(x55061),x55062),x55063),x55063)+P1(f324(f324(f234(x55061),x55062),x55063)) % 194.45/194.27 [5525]~P112(x55251)+P10(x55251,x55252)+~P10(x55251,f324(f324(f151(x55251),x55253),x55252)) % 194.45/194.27 [5526]~P112(x55261)+P10(x55261,x55262)+~P10(x55261,f324(f324(f134(x55261),x55263),x55262)) % 194.45/194.27 [5527]~P112(x55271)+P10(x55271,x55272)+~P10(x55271,f324(f324(f134(x55271),x55272),x55273)) % 194.45/194.27 [5590]~P112(x55901)+P1(f324(f324(f234(x55901),x55903),x55902))+P1(f324(f324(f234(x55901),x55902),x55903)) % 194.45/194.27 [5595]~P112(x55951)+P1(f324(f324(f235(x55951),x55953),x55952))+P1(f324(f324(f234(x55951),x55952),x55953)) % 194.45/194.27 [5633]~P63(x56331)+E(f324(f324(f103(x56331),x56332),x56333),x56333)+~P1(f324(f324(f234(x56331),x56333),x56332)) % 194.45/194.27 [5635]~P63(x56351)+E(f324(f324(f103(x56351),x56352),x56353),x56352)+~P1(f324(f324(f234(x56351),x56352),x56353)) % 194.45/194.27 [5636]~P107(x56361)+E(f324(f324(f112(x56361),x56362),x56363),x56362)+~P1(f324(f324(f234(x56361),x56363),x56362)) % 194.45/194.27 [5638]~P107(x56381)+E(f324(f324(f112(x56381),x56382),x56383),x56383)+~P1(f324(f324(f234(x56381),x56382),x56383)) % 194.45/194.27 [5639]~P112(x56391)+E(f324(f324(f188(x56391),x56392),x56393),x56393)+~P1(f324(f324(f234(x56391),x56393),x56392)) % 194.45/194.27 [5641]~P112(x56411)+E(f324(f324(f188(x56411),x56412),x56413),x56412)+~P1(f324(f324(f234(x56411),x56412),x56413)) % 194.45/194.27 [5642]~P112(x56421)+E(f324(f324(f233(x56421),x56422),x56423),x56422)+~P1(f324(f324(f234(x56421),x56423),x56422)) % 194.45/194.27 [5644]~P112(x56441)+E(f324(f324(f233(x56441),x56442),x56443),x56443)+~P1(f324(f324(f234(x56441),x56442),x56443)) % 194.45/194.27 [5651]~P122(x56512)+E(x56511,f2(x56512))+E(f324(f324(f287(x56512),f324(f78(x56512),x56513)),f324(f78(x56512),x56511)),f324(f324(f287(x56512),x56513),x56511)) % 194.45/194.27 [5703]~P113(x57031)+E(f324(f299(x57031,x57032),x57033),f189(f928(x57031,a916)))+~P1(f324(f324(f234(x57031),x57033),x57032)) % 194.45/194.27 [5736]~P113(x57361)+E(f300(x57361,x57362,x57363),f189(f928(x57361,a916)))+~P1(f324(f324(f235(x57361),x57363),x57362)) % 194.45/194.27 [5737]~P113(x57371)+E(f303(x57371,x57372,x57373),f189(f928(x57371,a916)))+~P1(f324(f324(f234(x57371),x57373),x57372)) % 194.45/194.27 [5738]~P113(x57381)+E(f302(x57381,x57382,x57383),f189(f928(x57381,a916)))+~P1(f324(f324(f234(x57381),x57383),x57382)) % 194.45/194.27 [5781]~P120(x57811)+~P1(f324(x57812,x57813))+P1(f324(f324(f234(x57811),f238(x57811,x57812)),x57813)) % 194.45/194.27 [5791]~E(f324(f324(f3(a920),x57911),x57913),x57912)+E(x57911,f324(f324(f79(a920),x57912),x57913))+~P1(f324(f324(f234(a920),x57913),x57911)) % 194.45/194.27 [5792]~E(x57921,f324(f324(f79(a920),x57923),x57922))+E(f324(f324(f3(a920),x57921),x57922),x57923)+~P1(f324(f324(f234(a920),x57922),x57921)) % 194.45/194.27 [5837]~P1(f324(x58371,x58373))+P1(f324(x58371,f465(x58371,x58372)))+~P1(f324(f324(f234(a920),x58373),x58372)) % 194.45/194.27 [5838]~P1(f324(x58381,x58383))+P1(f324(x58381,f475(x58381,x58382)))+~P1(f324(f324(f235(a920),x58383),x58382)) % 194.45/194.27 [5846]~P113(x58461)+~E(f324(f299(x58461,x58462),x58463),f189(f928(x58461,a916)))+~P1(f324(f324(f235(x58461),x58462),x58463)) % 194.45/194.27 [5851]~P61(x58511)+~P1(f324(f324(f235(x58511),x58512),x58513))+P1(f324(f324(f234(x58511),x58512),x58513)) % 194.45/194.27 [5853]~P113(x58531)+~P1(f324(f324(f235(x58531),x58532),x58533))+P1(f324(f324(f234(x58531),x58532),x58533)) % 194.45/194.27 [5960]~P113(x59601)+~E(f300(x59601,x59602,x59603),f189(f928(x59601,a916)))+~P1(f324(f324(f234(x59601),x59602),x59603)) % 194.45/194.27 [5961]~P113(x59611)+~E(f302(x59611,x59612,x59613),f189(f928(x59611,a916)))+~P1(f324(f324(f235(x59611),x59612),x59613)) % 194.45/194.27 [5962]~P113(x59621)+~E(f189(f928(x59621,a916)),f300(x59621,x59622,x59623))+~P1(f324(f324(f234(x59621),x59622),x59623)) % 194.45/194.27 [5963]~P113(x59631)+~E(f189(f928(x59631,a916)),f302(x59631,x59632,x59633))+~P1(f324(f324(f235(x59631),x59632),x59633)) % 194.45/194.27 [5976]P1(f324(x59761,x59762))+~P1(f324(x59761,f455(x59761,x59763)))+~P1(f324(f324(f234(a920),x59762),x59763)) % 194.45/194.27 [5977]P1(f324(x59771,x59772))+~P1(f324(x59771,f500(x59771,x59773)))+~P1(f324(f324(f235(a920),x59772),x59773)) % 194.45/194.27 [5985]~E(x59851,f324(a114,x59853))+P1(f324(f324(f235(a920),x59851),f324(a114,x59852)))+~P1(f324(f324(f235(a920),x59853),x59852)) % 194.45/194.27 [6004]E(x60041,x60042)+~E(f324(f324(f80(a920),x60043),x60041),f324(f324(f80(a920),x60043),x60042))+~P1(f324(f324(f235(a920),f2(a920)),x60043)) % 194.45/194.27 [6060]E(f324(x60601,f333(x60601,x60602,x60603)),f77(a920))+~E(f324(f324(f8(x60603,a920),x60601),x60602),f77(a920))+~P1(f324(f61(x60603),x60602)) % 194.45/194.27 [6075]~P2(x60751)+P1(f324(f324(f234(x60751),x60752),f37(x60751,x60753)))+~P1(f324(f324(f326(x60751),x60752),x60753)) % 194.45/194.27 [6098]~P61(x60981)+~P1(f324(f324(f235(x60981),x60983),x60982))+~P1(f324(f324(f234(x60981),x60982),x60983)) % 194.45/194.27 [6102]~P61(x61021)+~P1(f324(f324(f235(x61021),x61023),x61022))+~P1(f324(f324(f235(x61021),x61022),x61023)) % 194.45/194.27 [6105]~P112(x61051)+~P1(f324(f324(f235(x61051),x61053),x61052))+~P1(f324(f324(f234(x61051),x61052),x61053)) % 194.45/194.27 [6106]~P112(x61061)+~P1(f324(f324(f235(x61061),x61063),x61062))+~P1(f324(f324(f235(x61061),x61062),x61063)) % 194.45/194.27 [6107]~P113(x61071)+~P1(f324(f324(f235(x61071),x61073),x61072))+~P1(f324(f324(f235(x61071),x61072),x61073)) % 194.45/194.27 [6137]~E(f324(x61372,f911(x61372,x61373,x61371)),f2(a920))+E(f324(f324(f8(x61371,a920),x61372),x61373),f2(a920))+~P1(f324(f61(x61371),x61373)) % 194.45/194.27 [6138]~E(f324(x61382,f896(x61382,x61383,x61381)),f77(a920))+E(f324(f324(f11(x61381,a920),x61382),x61383),f77(a920))+~P1(f324(f61(x61381),x61383)) % 194.45/194.27 [6154]~P111(x61541)+~P1(f324(f324(f235(x61541),x61543),x61542))+P1(f324(f324(f326(x61541),x61542),f324(f301(x61541),x61543))) % 194.45/194.27 [6155]~P111(x61551)+~P1(f324(f324(f234(x61551),x61553),x61552))+P1(f324(f324(f326(x61551),x61552),f324(f281(x61551),x61553))) % 194.45/194.27 [6156]~P111(x61561)+~P1(f324(f324(f235(x61561),x61562),x61563))+P1(f324(f324(f326(x61561),x61562),f324(f280(x61561),x61563))) % 194.45/194.27 [6157]~P111(x61571)+~P1(f324(f324(f234(x61571),x61572),x61573))+P1(f324(f324(f326(x61571),x61572),f324(f298(x61571),x61573))) % 194.45/194.27 [6169]E(f324(x61691,f334(x61691,x61692,x61693)),f324(a114,f2(a920)))+~E(f324(f324(f8(x61693,a920),x61691),x61692),f324(a114,f2(a920)))+~P1(f324(f61(x61693),x61692)) % 194.45/194.27 [6254]~P2(x62541)+~P1(f324(f324(f326(x62541),x62543),x62542))+P1(f324(f324(f234(x62541),f38(x62541,x62542)),x62543)) % 194.45/194.27 [6274]~P1(f324(f324(f234(a920),x62741),x62743))+P1(f324(f324(f234(a920),x62741),x62742))+~P1(f324(f324(f234(a920),x62743),x62742)) % 194.45/194.27 [6275]~P1(f324(f324(f234(a1),x62751),x62753))+P1(f324(f324(f234(a1),x62751),x62752))+~P1(f324(f324(f234(a1),x62753),x62752)) % 194.45/194.27 [6294]~P111(x62941)+~P1(f324(f324(f326(x62941),x62943),f324(f281(x62941),x62942)))+P1(f324(f324(f234(x62941),x62942),x62943)) % 194.45/194.27 [6295]~P111(x62951)+~P1(f324(f324(f326(x62951),x62952),f324(f298(x62951),x62953)))+P1(f324(f324(f234(x62951),x62952),x62953)) % 194.45/194.27 [6296]~P111(x62961)+~P1(f324(f324(f326(x62961),x62963),f324(f301(x62961),x62962)))+P1(f324(f324(f235(x62961),x62962),x62963)) % 194.45/194.27 [6297]~P111(x62971)+~P1(f324(f324(f326(x62971),x62972),f324(f280(x62971),x62973)))+P1(f324(f324(f235(x62971),x62972),x62973)) % 194.45/194.27 [6373]~P1(f324(x63731,x63732))+P1(f324(x63731,f819(x63731)))+~P1(f324(f324(f326(x63733),x63732),f242(f928(x63733,a916)))) % 194.45/194.27 [6480]~P113(x64801)+~P38(a920,x64801,x64802)+P1(f324(f324(f234(x64801),f324(x64802,x64803)),f324(x64802,f324(a114,x64803)))) % 194.45/194.27 [6514]~P72(x65141)+P1(f324(f324(f235(x65141),f2(x65141)),f351(x65143,x65142,x65141)))+P1(f324(f324(f234(x65141),x65142),x65143)) % 194.45/194.27 [6515]~P73(x65151)+P1(f324(f324(f235(x65151),f2(x65151)),f393(x65153,x65152,x65151)))+P1(f324(f324(f234(x65151),x65152),x65153)) % 194.45/194.27 [6586]~P86(x65861)+~P1(f324(f324(f234(x65861),x65863),f324(f78(x65861),x65862)))+P1(f324(f324(f234(x65861),x65862),f324(f78(x65861),x65863))) % 194.45/194.27 [6588]~P86(x65881)+~P1(f324(f324(f235(x65881),x65883),f324(f78(x65881),x65882)))+P1(f324(f324(f235(x65881),x65882),f324(f78(x65881),x65883))) % 194.45/194.27 [6600]~P1(f324(f324(f235(a920),x66001),x66003))+~P1(f324(f324(f235(a920),x66003),x66002))+P1(f324(f324(f235(a920),f324(a114,x66001)),x66002)) % 194.45/194.27 [6625]~P129(x66251)+P1(f324(f324(f234(x66251),f324(f102(x66251),x66252)),f324(f102(x66251),x66253)))+~P1(f324(f324(f234(a920),x66252),x66253)) % 194.45/194.27 [6626]~P125(x66261)+P1(f324(f324(f234(x66261),f324(f104(x66261),x66262)),f324(f104(x66261),x66263)))+~P1(f324(f324(f234(a1),x66262),x66263)) % 194.45/194.27 [6628]~P125(x66281)+P1(f324(f324(f235(x66281),f324(f104(x66281),x66282)),f324(f104(x66281),x66283)))+~P1(f324(f324(f235(a1),x66282),x66283)) % 194.45/194.27 [6629]~P129(x66291)+P1(f324(f324(f235(x66291),f324(f102(x66291),x66292)),f324(f102(x66291),x66293)))+~P1(f324(f324(f235(a920),x66292),x66293)) % 194.45/194.27 [6635]~P112(x66351)+E(f324(f324(f112(f928(x66351,a916)),f324(f280(x66351),x66352)),f324(f299(x66351,x66352),x66353)),f324(f280(x66351),x66353))+~P1(f324(f324(f234(x66351),x66352),x66353)) % 194.45/194.27 [6665]~P86(x66651)+~P1(f324(f324(f234(x66651),x66653),x66652))+P1(f324(f324(f234(x66651),f324(f78(x66651),x66652)),f324(f78(x66651),x66653))) % 194.45/194.27 [6667]~P90(x66671)+~P1(f324(f324(f234(x66671),x66673),x66672))+P1(f324(f324(f234(x66671),f324(f78(x66671),x66672)),f324(f78(x66671),x66673))) % 194.45/194.27 [6668]~P86(x66681)+~P1(f324(f324(f235(x66681),x66683),x66682))+P1(f324(f324(f235(x66681),f324(f78(x66681),x66682)),f324(f78(x66681),x66683))) % 194.45/194.27 [6701]~P112(x67011)+E(f324(f324(f112(f928(x67011,a916)),f324(f280(x67011),x67012)),f300(x67011,x67012,x67013)),f324(f298(x67011),x67013))+~P1(f324(f324(f234(x67011),x67012),x67013)) % 194.45/194.27 [6702]~P112(x67021)+E(f324(f324(f112(f928(x67021,a916)),f324(f298(x67021),x67022)),f303(x67021,x67022,x67023)),f324(f280(x67021),x67023))+~P1(f324(f324(f235(x67021),x67022),x67023)) % 194.45/194.27 [6703]~P112(x67031)+E(f324(f324(f112(f928(x67031,a916)),f324(f298(x67031),x67032)),f302(x67031,x67032,x67033)),f324(f298(x67031),x67033))+~P1(f324(f324(f234(x67031),x67032),x67033)) % 194.45/194.27 [6740]~P112(x67401)+E(f324(f324(f112(f928(x67401,a916)),f324(f299(x67401,x67402),x67403)),f324(f281(x67401),x67403)),f324(f281(x67401),x67402))+~P1(f324(f324(f234(x67401),x67402),x67403)) % 194.45/194.27 [6806]~P2(x68061)+~P1(f324(f324(f234(x68061),f324(x68062,x68063)),x68063))+P1(f324(f324(f234(x68061),f97(x68061,x68062)),x68063)) % 194.45/194.27 [6892]~P112(x68921)+E(f324(f324(f112(f928(x68921,a916)),f300(x68921,x68922,x68923)),f324(f301(x68921),x68923)),f324(f281(x68921),x68922))+~P1(f324(f324(f234(x68921),x68922),x68923)) % 194.45/194.27 [6893]~P112(x68931)+E(f324(f324(f112(f928(x68931,a916)),f303(x68931,x68932,x68933)),f324(f281(x68931),x68933)),f324(f301(x68931),x68932))+~P1(f324(f324(f235(x68931),x68932),x68933)) % 194.45/194.27 [6894]~P112(x68941)+E(f324(f324(f112(f928(x68941,a916)),f302(x68941,x68942,x68943)),f324(f301(x68941),x68943)),f324(f301(x68941),x68942))+~P1(f324(f324(f234(x68941),x68942),x68943)) % 194.45/194.27 [6913]P1(f324(x69131,x69132))+~P1(f324(f324(f234(a920),x69132),x69133))+P1(f324(f324(f326(a920),f455(x69131,x69133)),f300(a920,f2(a920),x69133))) % 194.45/194.27 [6947]E(x69471,x69472)+~E(f324(f324(f164(x69473),x69471),f663(x69473,x69472,x69471)),f324(f324(f164(x69473),x69472),f663(x69473,x69472,x69471)))+~E(f324(f190(f921(x69473)),x69471),f324(f190(f921(x69473)),x69472)) % 194.45/194.27 [6952]~E(x69523,f324(f324(f36(a920),x69521),x69522))+~P1(f324(f324(f235(a920),f2(a920)),x69522))+P1(f324(f324(f235(a920),x69521),f324(f324(f80(a920),x69522),f324(a114,x69523)))) % 194.45/194.27 [6968]~P1(f324(x69681,x69683))+~P1(f324(f324(f234(a920),x69683),x69682))+P1(f324(f324(f326(a920),f465(x69681,x69682)),f300(a920,f2(a920),x69682))) % 194.45/194.27 [7007]~P1(f324(x70071,x70073))+P1(f324(x70071,f466(x70071,x70072)))+~P1(f324(f324(f326(a920),x70073),f300(a920,f2(a920),x70072))) % 194.45/194.27 [7025]~P129(x70253)+~P1(f324(f324(f234(x70253),f324(f102(x70253),x70251)),f324(f102(x70253),x70252)))+P1(f324(f324(f234(a920),x70251),x70252)) % 194.45/194.27 [7026]~P125(x70263)+~P1(f324(f324(f234(x70263),f324(f104(x70263),x70261)),f324(f104(x70263),x70262)))+P1(f324(f324(f234(a1),x70261),x70262)) % 194.45/194.27 [7028]~P129(x70283)+~P1(f324(f324(f235(x70283),f324(f102(x70283),x70281)),f324(f102(x70283),x70282)))+P1(f324(f324(f235(a920),x70281),x70282)) % 194.45/194.27 [7029]~P125(x70293)+~P1(f324(f324(f235(x70293),f324(f104(x70293),x70291)),f324(f104(x70293),x70292)))+P1(f324(f324(f235(a1),x70291),x70292)) % 194.45/194.27 [7034]P1(f324(x70341,x70342))+P1(f324(f324(f234(a920),x70343),f395(x70341,x70342,x70343)))+~P1(f324(f324(f234(a920),f324(a114,x70343)),x70342)) % 194.45/194.27 [7047]~P129(x70471)+~P1(f324(f324(f235(x70471),f77(x70471)),x70472))+P1(f324(f324(f235(x70471),f77(x70471)),f324(f324(f244(x70471),x70472),f324(a114,x70473)))) % 194.45/194.27 [7049]~P86(x70491)+~P1(f324(f324(f234(x70491),f324(f78(x70491),x70493)),f324(f78(x70491),x70492)))+P1(f324(f324(f234(x70491),x70492),x70493)) % 194.45/194.27 [7050]~P90(x70501)+~P1(f324(f324(f234(x70501),f324(f78(x70501),x70503)),f324(f78(x70501),x70502)))+P1(f324(f324(f234(x70501),x70502),x70503)) % 194.45/194.27 [7051]~P86(x70511)+~P1(f324(f324(f235(x70511),f324(f78(x70511),x70513)),f324(f78(x70511),x70512)))+P1(f324(f324(f235(x70511),x70512),x70513)) % 194.45/194.27 [7075]P1(f324(x70751,x70752))+~P1(f324(x70751,f456(x70751,x70753)))+~P1(f324(f324(f326(a920),x70752),f300(a920,f2(a920),x70753))) % 194.45/194.27 [7094]~P72(x70941)+P1(f324(f324(f235(x70941),f351(x70943,x70942,x70941)),f77(x70941)))+P1(f324(f324(f234(x70941),x70942),x70943)) % 194.45/194.27 [7114]~E(f45(a920,x71143,x71142),f45(a920,x71141,x71142))+E(f324(f324(f79(a920),x71141),f324(f324(f80(a920),x71142),f400(x71141,x71142,x71143))),x71143)+~P1(f324(f324(f234(a920),x71141),x71143)) % 194.45/194.27 [7169]E(f324(f324(f8(x71691,a920),x71692),x71693),f2(a920))+~P1(f324(f61(x71691),x71693))+P1(f324(f324(f326(x71691),f911(x71692,x71693,x71691)),x71693)) % 194.45/194.27 [7170]E(f324(f324(f11(x71701,a920),x71702),x71703),f77(a920))+~P1(f324(f61(x71701),x71703))+P1(f324(f324(f326(x71701),f896(x71702,x71703,x71701)),x71703)) % 194.45/194.27 [7192]~P112(x71921)+~P1(f324(f324(f234(x71921),x71922),x71923))+P1(f324(f324(f234(f928(x71921,a916)),f324(f280(x71921),x71922)),f324(f280(x71921),x71923))) % 194.45/194.27 [7193]~P113(x71931)+~P1(f324(f324(f234(x71931),x71932),x71933))+P1(f324(f324(f234(f928(x71931,a916)),f324(f298(x71931),x71932)),f324(f298(x71931),x71933))) % 194.45/194.27 [7194]~P112(x71941)+~P1(f324(f324(f234(x71941),x71943),x71942))+P1(f324(f324(f234(f928(x71941,a916)),f324(f301(x71941),x71942)),f324(f301(x71941),x71943))) % 194.45/194.27 [7195]~P113(x71951)+~P1(f324(f324(f234(x71951),x71953),x71952))+P1(f324(f324(f234(f928(x71951,a916)),f324(f281(x71951),x71952)),f324(f281(x71951),x71953))) % 194.45/194.27 [7196]~P112(x71961)+~P1(f324(f324(f235(x71961),x71962),x71963))+P1(f324(f324(f235(f928(x71961,a916)),f324(f280(x71961),x71962)),f324(f280(x71961),x71963))) % 194.45/194.27 [7207]~P2(x72071)+P1(f324(f324(f234(x72071),x72072),f38(x72071,x72073)))+P1(f324(f324(f326(x72071),f423(x72073,x72072,x72071)),x72073)) % 194.45/194.27 [7208]~P2(x72081)+P1(f324(f324(f234(x72081),x72082),f38(x72081,x72083)))+P1(f324(f324(f326(x72081),f583(x72082,x72083,x72081)),x72083)) % 194.45/194.27 [7214]~P86(x72141)+P1(f324(f324(f234(x72141),f324(f324(f3(x72141),x72142),x72143)),f2(x72141)))+~P1(f324(f324(f234(x72141),x72142),x72143)) % 194.45/194.27 [7215]~P86(x72151)+P1(f324(f324(f235(x72151),f324(f324(f3(x72151),x72152),x72153)),f2(x72151)))+~P1(f324(f324(f235(x72151),x72152),x72153)) % 194.45/194.27 [7256]P1(f324(x72561,x72562))+P1(f324(f324(f234(a920),f456(x72561,x72563)),x72563))+~P1(f324(f324(f326(a920),x72562),f300(a920,f2(a920),x72563))) % 194.45/194.27 [7296]~E(f324(f324(f8(x72961,a920),x72962),x72963),f77(a920))+~P1(f324(f61(x72961),x72963))+P1(f324(f324(f326(x72961),f333(x72962,x72963,x72961)),x72963)) % 194.45/194.27 [7297]~P1(f324(x72971,x72973))+P1(f324(f324(f234(a920),f466(x72971,x72972)),x72972))+~P1(f324(f324(f326(a920),x72973),f300(a920,f2(a920),x72972))) % 194.45/194.27 [7337]~P2(x73371)+P1(f324(f324(f326(x73371),f412(x73373,x73372,x73371)),x73372))+P1(f324(f324(f234(x73371),f37(x73371,x73372)),x73373)) % 194.45/194.27 [7338]~P2(x73381)+P1(f324(f324(f326(x73381),f601(x73383,x73382,x73381)),x73382))+P1(f324(f324(f234(x73381),f37(x73381,x73382)),x73383)) % 194.45/194.27 [7372]~E(f324(f324(f8(x73721,a920),x73722),x73723),f324(a114,f2(a920)))+~P1(f324(f61(x73721),x73723))+P1(f324(f324(f326(x73721),f334(x73722,x73723,x73721)),x73723)) % 194.45/194.27 [7383]E(x73831,f2(a920))+P1(f324(x73832,f45(a920,x73833,x73831)))+P1(f324(f324(f235(a920),f371(x73831,x73833,x73832)),x73831)) % 194.45/194.27 [7498]~P1(f324(x74981,x74982))+P1(f324(x74981,f45(a920,x74982,x74983)))+P1(f324(f324(f235(a920),f371(x74983,x74982,x74981)),x74983)) % 194.45/194.27 [7618]E(x76181,f115(x76182))+~P1(f324(f324(f326(f921(x76182)),x76181),f161(x76182,x76183)))+P1(f324(f324(f326(x76182),f719(x76183,x76181,x76182)),x76183)) % 194.45/194.27 [7640]~P112(x76401)+E(f324(f324(f112(f928(x76401,a916)),f324(f324(f306(x76401),x76402),f189(f928(x76401,a916)))),f303(x76401,x76402,x76403)),f324(f299(x76401,x76402),x76403))+~P1(f324(f324(f235(x76401),x76402),x76403)) % 194.45/194.27 [7663]~P112(x76631)+E(f324(f324(f112(f928(x76631,a916)),f324(f324(f306(x76631),x76632),f189(f928(x76631,a916)))),f302(x76631,x76632,x76633)),f300(x76631,x76632,x76633))+~P1(f324(f324(f234(x76631),x76632),x76633)) % 194.45/194.27 [7769]~P112(x77691)+P1(f324(f324(f234(x77691),x77692),x77693))+~P1(f324(f324(f234(f928(x77691,a916)),f324(f301(x77691),x77693)),f324(f301(x77691),x77692))) % 194.45/194.27 [7770]~P113(x77701)+P1(f324(f324(f234(x77701),x77702),x77703))+~P1(f324(f324(f234(f928(x77701,a916)),f324(f281(x77701),x77703)),f324(f281(x77701),x77702))) % 194.45/194.27 [7771]~P112(x77711)+P1(f324(f324(f234(x77711),x77712),x77713))+~P1(f324(f324(f234(f928(x77711,a916)),f324(f280(x77711),x77712)),f324(f280(x77711),x77713))) % 194.45/194.27 [7772]~P113(x77721)+P1(f324(f324(f234(x77721),x77722),x77723))+~P1(f324(f324(f234(f928(x77721,a916)),f324(f298(x77721),x77722)),f324(f298(x77721),x77723))) % 194.45/194.27 [7773]~P112(x77731)+P1(f324(f324(f235(x77731),x77732),x77733))+~P1(f324(f324(f235(f928(x77731,a916)),f324(f280(x77731),x77732)),f324(f280(x77731),x77733))) % 194.45/194.27 [7796]~P86(x77961)+~P1(f324(f324(f234(x77961),f324(f324(f3(x77961),x77962),x77963)),f2(x77961)))+P1(f324(f324(f234(x77961),x77962),x77963)) % 194.45/194.27 [7797]~P86(x77971)+~P1(f324(f324(f235(x77971),f324(f324(f3(x77971),x77972),x77973)),f2(x77971)))+P1(f324(f324(f235(x77971),x77972),x77973)) % 194.45/194.27 [7957]E(x79571,f2(a920))+~E(f324(f142(a920,a920,f79(a920),x79572),x79573),f2(a920))+~P1(f324(f324(f326(a920),x79571),f324(f172(a920),x79573))) % 194.45/194.27 [7961]~P2(x79611)+~P1(f324(f324(f234(x79611),f412(x79613,x79612,x79611)),x79613))+P1(f324(f324(f234(x79611),f37(x79611,x79612)),x79613)) % 194.45/194.27 [7962]~P2(x79621)+~P1(f324(f324(f234(x79621),f601(x79623,x79622,x79621)),x79623))+P1(f324(f324(f234(x79621),f37(x79621,x79622)),x79623)) % 194.45/194.27 [8088]P1(f324(x80881,x80882))+~P1(f324(f324(f234(a920),f324(a114,x80883)),x80882))+~P1(f324(x80881,f324(a114,f395(x80881,x80882,x80883)))) % 194.45/194.27 [8118]P1(f324(f324(f234(a1),f2(a1)),f360(x81181,x81182,x81183)))+P1(f324(f324(x81182,f324(f324(f36(a1),x81181),x81183)),f45(a1,x81181,x81183)))+~P1(f324(f324(f235(a1),f2(a1)),x81183)) % 194.45/194.27 [8209]E(x82091,x82092)+~E(f324(f190(f921(x82093)),x82091),f324(f190(f921(x82093)),x82092))+~P1(f324(f324(f257(x82093,x82093,a916),a321),f693(x82093,x82091,x82092))) % 194.45/194.27 [8280]~P35(x82802,x82803)+E(x82801,f189(f928(x82802,a916)))+~P1(f324(f324(f234(f928(x82802,a916)),x82801),f324(f283(x82802,x82802,x82803),x82801))) % 194.45/194.27 [8308]~P73(x83081)+~P1(f324(f324(f234(x83081),x83082),f324(f324(f79(x83081),x83083),f393(x83083,x83082,x83081))))+P1(f324(f324(f234(x83081),x83082),x83083)) % 194.45/194.27 [8344]P53(x83441,x83442,x83443)+P1(f324(f324(f326(x83441),f541(x83443,x83442,x83441)),x83442))+P1(f324(f324(f326(f927(x83441,x83441)),f542(x83443,x83442,x83441)),x83443)) % 194.45/194.27 [8365]P1(f324(f324(x83652,f324(f324(f36(a1),x83651),x83653)),f45(a1,x83651,x83653)))+~P1(f324(f324(f235(a1),f2(a1)),x83653))+P1(f324(f324(f235(a1),f360(x83651,x83652,x83653)),x83653)) % 194.45/194.27 [8389]E(f324(f307(a920,a920,f324(f324(f9(a920,a920,a920),f3(a920)),x83891)),f324(f299(a920,x83892),x83893)),f189(f928(a920,a916)))+P1(f324(f324(f235(a920),x83891),x83893))+P1(f324(f324(f235(a920),x83892),x83893)) % 194.45/194.27 [8500]E(f324(f307(a920,a920,f324(f324(f9(a920,a920,a920),f3(a920)),x85001)),f324(f299(a920,x85002),x85003)),f324(f324(f306(a920),f2(a920)),f189(f928(a920,a916))))+P1(f324(f324(f235(a920),x85001),x85003))+~P1(f324(f324(f235(a920),x85002),x85003)) % 194.45/194.27 [8514]~P112(x85141)+E(f149(x85141,x85141,f7(x85141),x85142,x85143),x85143)+~P1(f324(f324(f326(x85141),x85142),f324(f172(x85141),x85143))) % 194.45/194.27 [8528]P22(x85281,x85281,x85282,x85283)+~P1(f324(f61(x85281),x85283))+~P1(f324(f324(f234(f928(x85281,a916)),x85283),f324(f307(x85281,x85281,x85282),x85283))) % 194.45/194.27 [8554]E(f324(f324(f79(a1),f324(f324(f80(a1),x85541),f361(x85542,x85543,x85541))),f360(x85542,x85543,x85541)),x85542)+P1(f324(f324(x85543,f324(f324(f36(a1),x85542),x85541)),f45(a1,x85542,x85541)))+~P1(f324(f324(f235(a1),f2(a1)),x85541)) % 194.45/194.27 [8794]~P1(f324(f324(x87941,f361(x87942,x87941,x87943)),f360(x87942,x87941,x87943)))+P1(f324(f324(x87941,f324(f324(f36(a1),x87942),x87943)),f45(a1,x87942,x87943)))+~P1(f324(f324(f235(a1),f2(a1)),x87943)) % 194.45/194.27 [9698]~P1(f324(f61(x96981),x96982))+~P1(f324(f324(f326(x96981),x96983),x96982))+P1(f324(f324(f235(a920),f324(f35(x96981),f324(f324(f3(f928(x96981,a916)),x96982),f324(f324(f306(x96981),x96983),f189(f928(x96981,a916)))))),f324(f35(x96981),x96982))) % 194.45/194.27 [10292]P53(x102921,x102922,x102923)+~P1(f324(f324(f257(x102921,x102921,a916),f324(f324(f9(x102921,f928(x102921,a916),f928(x102921,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x102921,a916),f928(x102921,a916)),x102921),f10(a916,a916,x102921)),f324(f324(f10(a916,f928(a916,a916),x102921),a322),f324(f324(f9(x102921,f928(x102921,a916),a916),f326(x102921)),x102922)))),f324(f324(f9(x102921,f928(x102921,a916),a916),f326(x102921)),x102922))),f542(x102923,x102922,x102921)))+P1(f324(f324(f326(x102921),f541(x102923,x102922,x102921)),x102922)) % 194.45/194.27 [5612]~P122(x56122)+E(x56121,f2(x56122))+E(f324(f324(f287(x56122),x56123),f324(f78(x56122),x56121)),f324(f78(x56122),f324(f324(f287(x56122),x56123),x56121))) % 194.45/194.27 [5752]~E(x57523,f189(f928(x57521,a916)))+~E(x57522,f189(f928(x57521,a916)))+E(f324(f324(f112(f928(x57521,a916)),x57522),x57523),f189(f928(x57521,a916))) % 194.45/194.27 [5811]~E(x58113,f2(a920))+~P1(f324(x58111,f2(a920)))+P1(f324(x58111,f324(f324(f36(a920),x58112),x58113))) % 194.45/194.27 [5952]~P73(x59522)+E(x59521,f2(x59522))+E(f324(f324(f287(x59522),f324(f75(x59522),x59523)),f324(f75(x59522),x59521)),f324(f75(x59522),f324(f324(f287(x59522),x59523),x59521))) % 194.45/194.27 [6122]~P1(f324(f61(x61221),x61223))+E(f324(f35(x61221),f324(f324(f306(x61221),x61222),x61223)),f324(a114,f324(f35(x61221),x61223)))+P1(f324(f324(f326(x61221),x61222),x61223)) % 194.45/194.27 [6202]~E(x62022,f2(a920))+P1(f324(x62021,f2(a920)))+~P1(f324(x62021,f324(f324(f36(a920),x62023),x62022))) % 194.45/194.27 [6219]~P1(f324(f61(x62191),x62193))+E(f324(f35(x62191),f324(f324(f306(x62191),x62192),x62193)),f324(f35(x62191),x62193))+~P1(f324(f324(f326(x62191),x62192),x62193)) % 194.45/194.27 [6256]~P1(f324(f61(x62561),x62563))+E(f324(f35(x62561),f324(f324(f306(x62561),x62562),x62563)),f324(f324(f79(a920),f77(a920)),f324(f35(x62561),x62563)))+P1(f324(f324(f326(x62561),x62562),x62563)) % 194.45/194.27 [6374]E(f324(f324(f79(a920),x63741),f912(x63741,x63742,x63743)),x63742)+~P1(f324(x63743,f2(a920)))+P1(f324(x63743,f324(f324(f3(a920),x63742),x63741))) % 194.45/194.27 [6375]E(f324(f324(f79(a920),x63751),f913(x63751,x63752,x63753)),x63752)+~P1(f324(x63753,f2(a920)))+P1(f324(x63753,f324(f324(f3(a920),x63752),x63751))) % 194.45/194.27 [6421]~P2(x64211)+~P1(f324(f61(x64211),x64213))+E(f324(f324(f64(x64211,x64211,f103(x64211)),x64212),x64213),f324(f324(f103(x64211),x64212),f38(x64211,x64213))) % 194.45/194.27 [6422]~P2(x64221)+~P1(f324(f61(x64221),x64223))+E(f324(f324(f64(x64221,x64221,f112(x64221)),x64222),x64223),f324(f324(f112(x64221),x64222),f37(x64221,x64223))) % 194.45/194.27 [6428]~P102(x64281)+~E(f324(f105(x64281),x64282),f324(f105(x64281),x64283))+P27(x64281,f324(f105(x64281),f324(f324(f79(a1),x64282),f324(f78(a1),x64283)))) % 194.45/194.27 [6437]~P144(x64371)+E(f324(f324(f3(x64371),f324(f102(x64371),x64372)),f324(f102(x64371),x64373)),f324(f102(x64371),f324(f324(f3(a920),x64372),x64373)))+~P1(f324(f324(f234(a920),x64373),x64372)) % 194.45/194.27 [6525]E(f324(f324(f79(a920),x65251),f912(x65251,x65252,x65253)),x65252)+P1(f324(f324(f235(a920),x65252),x65251))+P1(f324(x65253,f324(f324(f3(a920),x65252),x65251))) % 194.45/194.27 [6526]E(f324(f324(f79(a920),x65261),f913(x65261,x65262,x65263)),x65262)+P1(f324(f324(f235(a920),x65262),x65261))+P1(f324(x65263,f324(f324(f3(a920),x65262),x65261))) % 194.45/194.27 [6544]~P125(x65441)+E(f324(f324(f80(x65441),f324(f75(x65441),x65442)),x65443),f324(f75(x65441),f324(f324(f80(x65441),x65442),x65443)))+~P1(f324(f324(f234(x65441),f2(x65441)),x65443)) % 194.45/194.27 [6545]~P72(x65451)+E(f324(f324(f287(x65451),f324(f75(x65451),x65452)),x65453),f324(f75(x65451),f324(f324(f287(x65451),x65452),x65453)))+~P1(f324(f324(f235(x65451),f2(x65451)),x65453)) % 194.45/194.27 [6553]~P105(x65531)+~P1(f324(f61(x65531),x65533))+E(f324(f324(f64(x65531,x65531,f103(x65531)),x65532),x65533),f12(x65531,f324(f324(f306(x65531),x65532),x65533))) % 194.45/194.27 [6554]~P105(x65541)+~P1(f324(f61(x65541),x65543))+E(f324(f324(f64(x65541,x65541,f112(x65541)),x65542),x65543),f15(x65541,f324(f324(f306(x65541),x65542),x65543))) % 194.45/194.27 [6555]~P112(x65551)+~P1(f324(f61(x65551),x65553))+E(f324(f324(f64(x65551,x65551,f188(x65551)),x65552),x65553),f16(x65551,f324(f324(f306(x65551),x65552),x65553))) % 194.45/194.27 [6556]~P112(x65561)+~P1(f324(f61(x65561),x65563))+E(f324(f324(f64(x65561,x65561,f233(x65561)),x65562),x65563),f17(x65561,f324(f324(f306(x65561),x65562),x65563))) % 194.45/194.27 [6602]E(x66021,f115(x66022))+~E(f179(x66022,x66023),f115(f921(x66022)))+~P1(f324(f324(f326(f921(x66022)),x66021),f324(f172(f921(x66022)),x66023))) % 194.45/194.27 [6643]~P1(f324(f137(x66431),x66433))+P1(f324(f324(f326(x66431),x66432),f324(f172(x66431),x66433)))+P1(f324(f137(x66431),f324(f324(f151(x66431),x66432),x66433))) % 194.45/194.27 [6654]~P103(x66541)+~P1(f324(f61(x66541),x66543))+E(f324(f63(x66541,f80(x66541)),f324(f324(f306(x66541),x66542),x66543)),f324(f324(f64(x66541,x66541,f80(x66541)),x66542),x66543)) % 194.45/194.27 [6676]~P112(x66761)+~P1(f324(f61(x66761),x66763))+E(f13(x66761,f188(x66761),f324(f324(f306(x66761),x66762),x66763)),f324(f324(f64(x66761,x66761,f188(x66761)),x66762),x66763)) % 194.45/194.27 [6677]~P112(x66771)+~P1(f324(f61(x66771),x66773))+E(f14(x66771,f233(x66771),f324(f324(f306(x66771),x66772),x66773)),f324(f324(f64(x66771,x66771,f233(x66771)),x66772),x66773)) % 194.45/194.27 [6679]P1(f324(x66791,f2(a920)))+~P1(f324(f324(f235(a920),x66792),x66793))+~P1(f324(x66791,f324(f324(f3(a920),x66792),x66793))) % 194.45/194.27 [6699]~P95(x66991)+P1(f324(f324(f234(x66991),x66992),x66993))+~P1(f324(f324(f234(x66991),f324(f75(x66991),x66992)),x66993)) % 194.45/194.27 [6700]~P125(x67001)+P1(f324(f324(f235(x67001),x67002),x67003))+~P1(f324(f324(f235(x67001),f324(f75(x67001),x67002)),x67003)) % 194.45/194.27 [6717]E(x67171,f115(x67172))+E(f324(f141(x67172),f324(f324(f138(x67172),x67173),x67171)),f324(f324(f164(x67172),x67171),x67173))+~P1(f324(f324(f235(a920),x67173),f324(f190(f921(x67172)),x67171))) % 194.45/194.27 [6771]~P1(f324(x67711,x67713))+P1(f324(x67711,f501(x67711,x67712)))+~P1(f324(f324(f326(a920),x67713),f324(f299(a920,f2(a920)),x67712))) % 194.45/194.27 [6791]P1(f324(x67911,x67912))+~P1(f324(f324(f235(a920),x67912),x67913))+P1(f324(f324(f326(a920),f500(x67911,x67913)),f324(f299(a920,f2(a920)),x67913))) % 194.45/194.27 [6807]~P129(x68071)+~P1(f324(f324(f234(x68071),f77(x68071)),x68072))+P1(f324(f324(f234(x68071),f77(x68071)),f324(f324(f244(x68071),x68072),x68073))) % 194.45/194.27 [6809]~P129(x68091)+~P1(f324(f324(f234(x68091),f2(x68091)),x68092))+P1(f324(f324(f234(x68091),f2(x68091)),f324(f324(f244(x68091),x68092),x68093))) % 194.45/194.27 [6811]~P129(x68111)+~P1(f324(f324(f235(x68111),f2(x68111)),x68112))+P1(f324(f324(f235(x68111),f2(x68111)),f324(f324(f244(x68111),x68112),x68113))) % 194.45/194.27 [6835]~P1(f324(x68351,x68353))+~P1(f324(f324(f235(a920),x68353),x68352))+P1(f324(f324(f326(a920),f475(x68351,x68352)),f324(f299(a920,f2(a920)),x68352))) % 194.45/194.27 [6844]P1(f324(f61(x68441),x68442))+~P1(f324(f61(x68441),x68443))+~P1(f324(f324(f234(f928(x68441,a916)),x68442),x68443)) % 194.45/194.27 [6851]P1(f324(x68511,x68512))+~P1(f324(x68511,f502(x68511,x68513)))+~P1(f324(f324(f326(a920),x68512),f324(f299(a920,f2(a920)),x68513))) % 194.45/194.27 [6862]E(x68621,f2(a920))+P1(f324(x68622,f365(x68621,x68623,x68622)))+~P1(f324(x68622,f324(f324(f36(a920),x68623),x68621))) % 194.45/194.27 [6869]~P130(x68692)+E(x68691,f2(x68692))+~E(f324(f324(f79(x68692),f324(f324(f80(x68692),x68693),x68693)),f324(f324(f80(x68692),x68691),x68691)),f2(x68692)) % 194.45/194.27 [6870]~P130(x68702)+E(x68701,f2(x68702))+~E(f324(f324(f79(x68702),f324(f324(f80(x68702),x68701),x68701)),f324(f324(f80(x68702),x68703),x68703)),f2(x68702)) % 194.45/194.27 [6914]E(x69141,f2(a920))+~P1(f324(x69142,f366(x69141,x69143,x69142)))+P1(f324(x69142,f324(f324(f36(a920),x69143),x69141))) % 194.45/194.27 [6919]~P112(x69191)+~P10(x69191,x69193)+P10(x69191,f324(f324(f148(x69191,x69191,f7(x69191)),x69192),x69193)) % 194.45/194.27 [6961]P1(f324(x69611,f365(x69612,x69613,x69611)))+P1(f324(x69611,f2(a920)))+~P1(f324(x69611,f324(f324(f36(a920),x69613),x69612))) % 194.45/194.27 [6967]~P102(x69671)+E(f324(f105(x69671),x69672),f324(f105(x69671),x69673))+~P27(x69671,f324(f105(x69671),f324(f324(f79(a1),x69672),f324(f78(a1),x69673)))) % 194.45/194.27 [7032]E(x70321,f2(a1))+E(x70322,f2(a1))+~P1(f324(f49(x70322,x70322),f324(f324(f252(a1,a1),x70323),x70321))) % 194.45/194.27 [7033]E(x70331,f77(a1))+E(x70332,f2(a1))+~P1(f324(f49(x70332,x70332),f324(f324(f252(a1,a1),x70331),x70333))) % 194.45/194.27 [7048]P1(f324(x70481,x70482))+P1(f324(f324(f235(a920),f502(x70481,x70483)),x70483))+~P1(f324(f324(f326(a920),x70482),f324(f299(a920,f2(a920)),x70483))) % 194.45/194.27 [7071]~P1(f324(x70711,f912(x70713,x70712,x70711)))+~P1(f324(x70711,f2(a920)))+P1(f324(x70711,f324(f324(f3(a920),x70712),x70713))) % 194.45/194.27 [7072]~P1(f324(x70721,f913(x70723,x70722,x70721)))+~P1(f324(x70721,f2(a920)))+P1(f324(x70721,f324(f324(f3(a920),x70722),x70723))) % 194.45/194.27 [7073]~P1(f324(x70731,f366(x70733,x70732,x70731)))+~P1(f324(x70731,f2(a920)))+P1(f324(x70731,f324(f324(f36(a920),x70732),x70733))) % 194.45/194.27 [7090]~P1(f324(x70901,x70903))+P1(f324(f324(f235(a920),f501(x70901,x70902)),x70902))+~P1(f324(f324(f326(a920),x70903),f324(f299(a920,f2(a920)),x70902))) % 194.45/194.27 [7091]E(f324(f324(f3(a920),f324(f324(f3(a920),x70911),x70912)),f324(f324(f3(a920),x70913),x70912)),f324(f324(f3(a920),x70911),x70913))+~P1(f324(f324(f234(a920),x70912),x70911))+~P1(f324(f324(f234(a920),x70912),x70913)) % 194.45/194.27 [7128]~P86(x71281)+~P1(f324(f324(f234(x71281),f324(f78(x71281),x71283)),x71282))+P1(f324(f324(f234(x71281),f324(f78(x71281),x71282)),x71283)) % 194.45/194.27 [7130]~P95(x71301)+~P1(f324(f324(f234(x71301),f324(f75(x71301),x71302)),x71303))+P1(f324(f324(f234(x71301),f324(f78(x71301),x71302)),x71303)) % 194.45/194.27 [7132]~P86(x71321)+~P1(f324(f324(f235(x71321),f324(f78(x71321),x71323)),x71322))+P1(f324(f324(f235(x71321),f324(f78(x71321),x71322)),x71323)) % 194.45/194.27 [7133]~P125(x71331)+~P1(f324(f324(f235(x71331),f324(f75(x71331),x71332)),x71333))+P1(f324(f324(f235(x71331),f324(f78(x71331),x71332)),x71333)) % 194.45/194.27 [7165]~P1(f324(x71653,f912(x71652,x71651,x71653)))+P1(f324(f324(f235(a920),x71651),x71652))+P1(f324(x71653,f324(f324(f3(a920),x71651),x71652))) % 194.45/194.27 [7166]~P1(f324(x71663,f913(x71662,x71661,x71663)))+P1(f324(f324(f235(a920),x71661),x71662))+P1(f324(x71663,f324(f324(f3(a920),x71661),x71662))) % 194.45/194.27 [7218]~E(f664(x72183,x72182,x72181),f665(x72183,x72182,x72181))+E(f324(f324(f103(f928(x72181,a916)),x72182),f37(f928(x72181,a916),x72183)),f189(f928(x72181,a916)))+P1(f324(f324(f326(f928(x72181,a916)),x72182),x72183)) % 194.45/194.27 [7226]~P1(f324(f61(x72261),x72263))+P1(f324(f61(x72261),f38(f928(x72261,a916),x72262)))+~P1(f324(f324(f326(f928(x72261,a916)),x72263),x72262)) % 194.45/194.27 [7285]~P112(x72851)+E(f324(f324(f112(f928(x72851,a916)),f324(f299(x72851,x72852),x72853)),f324(f324(f306(x72851),x72853),f189(f928(x72851,a916)))),f300(x72851,x72852,x72853))+~P1(f324(f324(f234(x72851),x72852),x72853)) % 194.45/194.27 [7286]E(x72861,f2(a920))+P1(f324(f324(f235(a920),f367(x72861,x72863,x72862)),x72861))+P1(f324(x72862,f324(f324(f36(a920),x72863),x72861))) % 194.45/194.27 [7315]P1(f324(f324(f235(a920),f324(f190(f921(x73151)),x73152)),f814(x73153,x73151)))+~P1(f324(f61(f921(x73151)),x73153))+~P1(f324(f324(f326(f921(x73151)),x73152),x73153)) % 194.45/194.27 [7321]E(x73211,x73212)+~P1(f324(f324(f234(f928(x73213,a916)),x73211),x73212))+P1(f324(f324(f235(f928(x73213,a916)),x73211),x73212)) % 194.45/194.27 [7334]E(x73341,x73342)+~E(f324(f190(f921(x73343)),x73341),f324(f190(f921(x73343)),x73342))+P1(f324(f324(f235(a920),f663(x73343,x73341,x73342)),f324(f190(f921(x73343)),x73342))) % 194.45/194.27 [7384]P5(x73841,x73842,x73843)+~E(f324(f264(x73841,x73841),x73843),x73842)+~E(f324(f324(f286(x73841,x73841,x73841),f324(f284(x73841,x73841),x73843)),x73843),x73843) % 194.45/194.27 [7465]~P1(f324(x74651,f2(a920)))+P1(f324(f324(f235(a920),f367(x74653,x74652,x74651)),x74653))+P1(f324(x74651,f324(f324(f36(a920),x74652),x74653))) % 194.45/194.27 [7477]~P112(x74771)+E(f324(f324(f112(f928(x74771,a916)),f303(x74771,x74772,x74773)),f324(f324(f306(x74771),x74773),f189(f928(x74771,a916)))),f302(x74771,x74772,x74773))+~P1(f324(f324(f235(x74771),x74772),x74773)) % 194.45/194.27 [7572]~P1(f324(f61(x75721),x75723))+P1(f324(f324(f234(a920),f324(f35(x75721),x75722)),f324(f35(x75721),x75723)))+~P1(f324(f324(f234(f928(x75721,a916)),x75722),x75723)) % 194.45/194.27 [7573]~P1(f324(f61(x75731),x75733))+P1(f324(f324(f235(a920),f324(f35(x75731),x75732)),f324(f35(x75731),x75733)))+~P1(f324(f324(f235(f928(x75731,a916)),x75732),x75733)) % 194.45/194.27 [7706]E(x77061,x77062)+~P1(f324(f324(f234(f928(x77063,a916)),x77062),x77061))+~P1(f324(f324(f234(f928(x77063,a916)),x77061),x77062)) % 194.45/194.27 [7709]~P112(x77091)+P10(x77091,x77092)+~P10(x77091,f324(f324(f148(x77091,x77091,f7(x77091)),x77093),x77092)) % 194.45/194.27 [7778]~P1(f324(f324(f235(a920),x77783),x77782))+~P1(f324(f324(f235(a920),x77783),x77781))+P1(f324(f324(f235(a920),f324(f324(f3(a920),x77781),x77782)),f324(f324(f3(a920),x77781),x77783))) % 194.45/194.27 [7779]~P1(f324(f324(f234(a920),x77792),x77791))+~P1(f324(f324(f235(a920),x77791),x77793))+P1(f324(f324(f235(a920),f324(f324(f3(a920),x77791),x77792)),f324(f324(f3(a920),x77793),x77792))) % 194.45/194.27 [7794]~P1(f324(f324(f235(a1),x77942),f2(a1)))+~P1(f324(f324(f234(a1),x77943),x77941))+P1(f324(f324(f234(a1),f324(f324(f36(a1),x77941),x77942)),f324(f324(f36(a1),x77943),x77942))) % 194.45/194.27 [7811]~P1(f324(f324(f235(a920),f2(a920)),x78113))+~P1(f324(f324(f234(a920),x78113),x78112))+P1(f324(f324(f234(a920),f324(f324(f36(a920),x78111),x78112)),f324(f324(f36(a920),x78111),x78113))) % 194.45/194.27 [7812]~P1(f324(f324(f235(a1),f2(a1)),x78122))+~P1(f324(f324(f234(a1),x78121),x78123))+P1(f324(f324(f234(a1),f324(f324(f36(a1),x78121),x78122)),f324(f324(f36(a1),x78123),x78122))) % 194.45/194.27 [7816]~P1(f324(f324(f235(a920),f2(a920)),x78162))+~P1(f324(f324(f235(a920),x78161),x78163))+P1(f324(f324(f235(a920),f324(f324(f80(a920),x78161),x78162)),f324(f324(f80(a920),x78163),x78162))) % 194.45/194.27 [7817]~P1(f324(f324(f235(a920),f2(a920)),x78171))+~P1(f324(f324(f235(a920),x78172),x78173))+P1(f324(f324(f235(a920),f324(f324(f80(a920),x78171),x78172)),f324(f324(f80(a920),x78171),x78173))) % 194.45/194.27 [7818]~P1(f324(f324(f235(a1),f2(a1)),x78181))+~P1(f324(f324(f235(a1),x78182),x78183))+P1(f324(f324(f235(a1),f324(f324(f80(a1),x78181),x78182)),f324(f324(f80(a1),x78181),x78183))) % 194.45/194.27 [7866]E(x78661,f2(a920))+E(f324(f324(f79(a920),f324(f324(f80(a920),x78661),f366(x78661,x78662,x78663))),f367(x78661,x78662,x78663)),x78662)+P1(f324(x78663,f324(f324(f36(a920),x78662),x78661))) % 194.45/194.27 [7925]E(f324(f324(f79(a920),f324(f324(f80(a920),x79251),f366(x79251,x79252,x79253))),f367(x79251,x79252,x79253)),x79252)+~P1(f324(x79253,f2(a920)))+P1(f324(x79253,f324(f324(f36(a920),x79252),x79251))) % 194.45/194.27 [7942]~P1(f324(f61(x79421),x79423))+P1(f324(f324(f326(x79421),f910(x79422,x79423,x79421)),x79423))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f11(x79421,a920),x79422),x79423))) % 194.45/194.27 [7943]~P1(f324(f61(x79431),x79433))+P1(f324(f324(f326(x79431),f358(x79432,x79433,x79431)),x79433))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f11(x79431,a920),x79432),x79433))) % 194.45/194.27 [8246]E(x82461,f189(f928(x82462,a916)))+E(x82461,f324(f324(f306(x82462),x82463),f189(f928(x82462,a916))))+~P1(f324(f324(f234(f928(x82462,a916)),x82461),f324(f324(f306(x82462),x82463),f189(f928(x82462,a916))))) % 194.45/194.27 [8282]~P1(f324(f324(f235(a920),f2(a920)),x82823))+P1(f324(f324(f234(a920),x82821),x82822))+~P1(f324(f324(f234(a920),f324(f324(f80(a920),x82823),x82821)),f324(f324(f80(a920),x82823),x82822))) % 194.45/194.27 [8283]~P1(f324(f324(f235(a920),f2(a920)),x82833))+P1(f324(f324(f234(a920),x82831),x82832))+~P1(f324(f324(f234(a920),f324(f324(f80(a920),x82831),x82833)),f324(f324(f80(a920),x82832),x82833))) % 194.45/194.27 [8285]~P1(f324(f324(f235(a920),f2(a920)),x82853))+P1(f324(f324(f235(a920),x82851),x82852))+~P1(f324(f324(f235(a920),f324(f324(f244(a920),x82853),x82851)),f324(f324(f244(a920),x82853),x82852))) % 194.45/194.27 [8325]~E(f324(f324(f103(f928(x83251,a916)),f665(x83253,x83252,x83251)),f664(x83253,x83252,x83251)),f189(f928(x83251,a916)))+E(f324(f324(f103(f928(x83251,a916)),x83252),f37(f928(x83251,a916),x83253)),f189(f928(x83251,a916)))+P1(f324(f324(f326(f928(x83251,a916)),x83252),x83253)) % 194.45/194.27 [8339]E(x83391,f115(x83392))+~E(f324(f142(f921(x83392),f921(x83392),f134(x83392),f115(x83392)),x83393),f115(x83392))+~P1(f324(f324(f326(f921(x83392)),x83391),f324(f172(f921(x83392)),x83393))) % 194.45/194.27 [8394]E(x83941,f189(f928(f928(x83942,a916),a916)))+P1(f324(f324(f326(f928(x83942,a916)),f513(x83943,x83941,x83942)),x83941))+P1(f324(f324(f234(f928(x83942,a916)),f38(f928(x83942,a916),x83941)),x83943)) % 194.45/194.27 [8400]~P77(x84001)+~P81(x84001)+E(f324(f324(f8(a1,x84001),f324(f324(f10(a920,x84001,a1),x84002),a106)),f324(f307(a920,a1,f102(a1)),x84003)),f324(f324(f8(a920,x84001),x84002),x84003)) % 194.45/194.27 [8401]~P77(x84011)+~P81(x84011)+E(f324(f324(f11(a1,x84011),f324(f324(f10(a920,x84011,a1),x84012),a106)),f324(f307(a920,a1,f102(a1)),x84013)),f324(f324(f11(a920,x84011),x84012),x84013)) % 194.45/194.27 [8443]~P1(f324(f61(x84431),x84433))+~P1(f324(f324(f235(a920),f2(a920)),f324(x84432,f910(x84432,x84433,x84431))))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f11(x84431,a920),x84432),x84433))) % 194.45/194.27 [8444]~P1(f324(f61(x84441),x84443))+~P1(f324(f324(f235(a920),f2(a920)),f324(x84442,f358(x84442,x84443,x84441))))+P1(f324(f324(f235(a920),f2(a920)),f324(f324(f11(x84441,a920),x84442),x84443))) % 194.45/194.27 [8481]~P71(x84812)+E(x84811,f77(x84812))+E(f324(f324(f287(x84812),f324(f324(f3(x84812),f324(f324(f244(x84812),x84811),x84813)),f77(x84812))),f324(f324(f3(x84812),x84811),f77(x84812))),f324(f324(f8(a920,x84812),f324(f244(x84812),x84811)),f324(f299(a920,f2(a920)),x84813))) % 194.45/194.27 [8539]E(x85391,f2(a920))+~P1(f324(x85393,f324(f324(f36(a920),x85392),x85391)))+P1(f324(f324(f235(a920),x85392),f324(f324(f80(a920),x85391),f324(a114,f365(x85391,x85392,x85393))))) % 194.45/194.27 [8557]P1(f324(x85571,f2(a920)))+~P1(f324(x85571,f324(f324(f36(a920),x85572),x85573)))+P1(f324(f324(f235(a920),x85572),f324(f324(f80(a920),x85573),f324(a114,f365(x85573,x85572,x85571))))) % 194.45/194.27 [8595]E(x85951,f2(a920))+~P1(f324(x85953,f324(f324(f36(a920),x85952),x85951)))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x85951),f365(x85951,x85952,x85953))),x85952)) % 194.45/194.27 [8628]P1(f324(x86281,f2(a920)))+~P1(f324(x86281,f324(f324(f36(a920),x86283),x86282)))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x86282),f365(x86282,x86283,x86281))),x86283)) % 194.45/194.27 [8636]~P112(x86361)+E(f324(f324(f148(x86361,x86361,f7(x86361)),x86362),x86363),f149(x86361,x86361,f7(x86361),x86362,x86363))+P1(f324(f324(f326(x86361),x86362),f324(f172(x86361),x86363))) % 194.45/194.27 [8673]~E(f324(x86733,f615(x86732,x86733,x86731)),f324(x86733,f617(x86732,x86733,x86731)))+~P60(x86731,f324(x86733,f616(x86732,x86733,x86731)))+P60(x86731,f324(f324(f40(x86732,f928(x86731,f928(x86731,a916))),f242(f928(x86732,a916))),x86733)) % 194.45/194.27 [8682]E(x86821,f189(f928(f928(x86822,a916),a916)))+~P1(f324(f324(f234(f928(x86822,a916)),f513(x86823,x86821,x86822)),x86823))+P1(f324(f324(f234(f928(x86822,a916)),f38(f928(x86822,a916),x86821)),x86823)) % 194.45/194.27 [8742]~P73(x87421)+~P1(f324(f324(f235(x87421),x87422),x87423))+P1(f324(f324(f235(x87421),x87422),f324(f324(f287(x87421),f324(f324(f79(x87421),x87422),x87423)),f324(f324(f79(x87421),f77(x87421)),f77(x87421))))) % 194.45/194.27 [8800]~P1(f324(f324(x88001,f439(x88001,x88003,x88002)),f440(x88001,x88003,x88002)))+P1(f324(f324(x88001,x88002),x88003))+~P1(f324(f312(f927(a1,a1),a52),f324(f324(f252(a1,a1),x88002),x88003))) % 194.45/194.27 [8801]~P1(f324(f324(x88011,f441(x88011,x88013,x88012)),f444(x88011,x88013,x88012)))+P1(f324(f324(x88011,x88012),x88013))+~P1(f324(f312(f927(a1,a1),a58),f324(f324(f252(a1,a1),x88012),x88013))) % 194.45/194.27 [8802]~P1(f324(f324(x88021,f445(x88021,x88023,x88022)),f448(x88021,x88023,x88022)))+P1(f324(f324(x88021,x88022),x88023))+~P1(f324(f312(f927(a1,a1),a222),f324(f324(f252(a1,a1),x88022),x88023))) % 194.45/194.27 [8803]~P1(f324(f324(x88031,f449(x88031,x88033,x88032)),f450(x88031,x88033,x88032)))+P1(f324(f324(x88031,x88032),x88033))+~P1(f324(f312(f927(a920,a920),a220),f324(f324(f252(a920,a920),x88032),x88033))) % 194.45/194.27 [8804]~P1(f324(f324(x88041,f706(x88041,x88043,x88042)),f708(x88041,x88043,x88042)))+P1(f324(f324(x88041,x88042),x88043))+~P1(f324(f312(f927(a1,a1),a182),f324(f324(f252(a1,a1),x88042),x88043))) % 194.45/194.27 [8805]~P1(f324(f324(x88051,f802(x88051,x88053,x88052)),f803(x88051,x88053,x88052)))+P1(f324(f324(x88051,x88052),x88053))+~P1(f324(f312(f927(a1,a1),a133),f324(f324(f252(a1,a1),x88052),x88053))) % 194.45/194.27 [9080]P1(f324(f324(x90801,x90802),x90803))+P1(f324(f312(f927(a920,a920),a220),f324(f324(f252(a920,a920),f449(x90801,x90803,x90802)),f450(x90801,x90803,x90802))))+~P1(f324(f312(f927(a920,a920),a220),f324(f324(f252(a920,a920),x90802),x90803))) % 194.45/194.27 [9081]P1(f324(f324(x90811,x90812),x90813))+P1(f324(f312(f927(a1,a1),a52),f324(f324(f252(a1,a1),f439(x90811,x90813,x90812)),f440(x90811,x90813,x90812))))+~P1(f324(f312(f927(a1,a1),a52),f324(f324(f252(a1,a1),x90812),x90813))) % 194.45/194.27 [9082]P1(f324(f324(x90821,x90822),x90823))+P1(f324(f312(f927(a1,a1),a58),f324(f324(f252(a1,a1),f441(x90821,x90823,x90822)),f444(x90821,x90823,x90822))))+~P1(f324(f312(f927(a1,a1),a58),f324(f324(f252(a1,a1),x90822),x90823))) % 194.45/194.27 [9083]P1(f324(f324(x90831,x90832),x90833))+P1(f324(f312(f927(a1,a1),a222),f324(f324(f252(a1,a1),f445(x90831,x90833,x90832)),f448(x90831,x90833,x90832))))+~P1(f324(f312(f927(a1,a1),a222),f324(f324(f252(a1,a1),x90832),x90833))) % 194.45/194.27 [9084]P1(f324(f324(x90841,x90842),x90843))+P1(f324(f312(f927(a1,a1),a182),f324(f324(f252(a1,a1),f706(x90841,x90843,x90842)),f708(x90841,x90843,x90842))))+~P1(f324(f312(f927(a1,a1),a182),f324(f324(f252(a1,a1),x90842),x90843))) % 194.45/194.27 [9085]P1(f324(f324(x90851,x90852),x90853))+P1(f324(f312(f927(a1,a1),a133),f324(f324(f252(a1,a1),f802(x90851,x90853,x90852)),f803(x90851,x90853,x90852))))+~P1(f324(f312(f927(a1,a1),a133),f324(f324(f252(a1,a1),x90852),x90853))) % 194.45/194.27 [9433]~P1(f324(f61(x94331),x94333))+P1(f324(f324(f326(f927(f928(x94331,a916),f928(x94331,a916))),f324(f324(f252(f928(x94331,a916),f928(x94331,a916)),x94332),x94333)),f311(x94331)))+~P1(f324(f324(f235(f928(x94331,a916)),x94332),x94333)) % 194.45/194.27 [9508]~P60(x95081,f324(x95083,f616(x95082,x95083,x95081)))+P60(x95081,f324(f324(f40(x95082,f928(x95081,f928(x95081,a916))),f242(f928(x95082,a916))),x95083))+~E(f324(f324(f103(f928(x95081,a916)),f249(x95081,x95081,f324(x95083,f615(x95082,x95083,x95081)))),f250(x95081,x95081,f324(x95083,f617(x95082,x95083,x95081)))),f189(f928(x95081,a916))) % 194.45/194.27 [9711]P53(x97111,x97112,x97113)+P1(f324(f324(f326(f927(x97111,x97111)),f542(x97113,x97112,x97111)),x97113))+~P1(f324(f324(f326(f927(x97111,x97111)),f324(f324(f252(x97111,x97111),f541(x97113,x97112,x97111)),f541(x97113,x97112,x97111))),x97113)) % 194.45/194.27 [10295]P53(x102951,x102952,x102953)+~P1(f324(f324(f257(x102951,x102951,a916),f324(f324(f9(x102951,f928(x102951,a916),f928(x102951,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x102951,a916),f928(x102951,a916)),x102951),f10(a916,a916,x102951)),f324(f324(f10(a916,f928(a916,a916),x102951),a322),f324(f324(f9(x102951,f928(x102951,a916),a916),f326(x102951)),x102952)))),f324(f324(f9(x102951,f928(x102951,a916),a916),f326(x102951)),x102952))),f542(x102953,x102952,x102951)))+~P1(f324(f324(f326(f927(x102951,x102951)),f324(f324(f252(x102951,x102951),f541(x102953,x102952,x102951)),f541(x102953,x102952,x102951))),x102953)) % 194.45/194.27 [5793]~P67(x57932)+E(x57931,f2(x57932))+E(f324(f324(f36(x57932),f324(f324(f80(x57932),x57933),x57931)),x57931),x57933) % 194.45/194.27 [5794]~P67(x57942)+E(x57941,f2(x57942))+E(f324(f324(f36(x57942),f324(f324(f80(x57942),x57941),x57943)),x57941),x57943) % 194.45/194.27 [6601]~P77(x66011)+~E(f324(x66012,f2(a920)),f2(x66011))+E(f324(f324(f8(a920,x66011),x66012),f324(f299(a920,f324(a114,f2(a920))),x66013)),f324(f324(f8(a920,x66011),x66012),f324(f299(a920,f2(a920)),x66013))) % 194.45/194.27 [6733]~P67(x67332)+E(x67331,f2(x67332))+E(f324(f324(f36(x67332),f324(f324(f79(x67332),x67333),x67331)),x67331),f324(f324(f79(x67332),f324(f324(f36(x67332),x67333),x67331)),f77(x67332))) % 194.45/194.27 [6734]~P67(x67342)+E(x67341,f2(x67342))+E(f324(f324(f36(x67342),f324(f324(f79(x67342),x67341),x67343)),x67341),f324(f324(f79(x67342),f324(f324(f36(x67342),x67343),x67341)),f77(x67342))) % 194.45/194.27 [6950]~P1(f324(x69503,f2(a1)))+P1(f324(f324(f234(a920),x69501),x69502))+P1(f324(x69503,f324(f102(a1),f324(f324(f3(a920),x69502),x69501)))) % 194.45/194.27 [7054]P1(f324(f324(f235(a920),x70542),x70541))+P1(f324(f324(f234(a920),x70541),x70542))+P1(f324(x70543,f324(f102(a1),f324(f324(f3(a920),x70542),x70541)))) % 194.45/194.27 [7126]E(f324(f324(f79(a920),f324(f105(a920),x71261)),f324(f324(f79(a920),f324(f105(a920),x71262)),x71263)),f324(f324(f79(a920),f324(f105(a920),x71261)),x71263))+P1(f324(a194,f324(f105(a1),x71261)))+~P1(f324(a194,f324(f105(a1),x71262))) % 194.45/194.27 [7204]~E(x72042,f324(f324(f36(a920),x72043),x72041))+~P1(f324(f324(f235(a920),f2(a920)),x72041))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x72041),x72042)),x72043)) % 194.45/194.27 [7319]~P1(f324(f61(x73191),x73193))+~P1(f324(f61(x73191),x73192))+P1(f324(f61(x73191),f324(f324(f112(f928(x73191,a916)),x73192),x73193))) % 194.45/194.27 [7369]~P36(x73691,x73693)+~P36(x73691,x73692)+P36(x73691,f324(f324(f103(f928(f927(x73691,x73691),a916)),x73692),x73693)) % 194.45/194.27 [7370]~P52(x73701,x73703)+~P52(x73701,x73702)+P52(x73701,f324(f324(f103(f928(f927(x73701,x73701),a916)),x73702),x73703)) % 194.45/194.27 [7371]~P52(x73711,x73713)+~P52(x73711,x73712)+P52(x73711,f324(f324(f112(f928(f927(x73711,x73711),a916)),x73712),x73713)) % 194.45/194.27 [7624]~P112(x76241)+~P1(f324(f61(x76241),x76242))+E(f139(x76241,f324(f324(f3(f928(x76241,a916)),x76242),f324(f324(f306(x76241),x76243),f189(f928(x76241,a916))))),f170(x76241,x76243,f139(x76241,x76242))) % 194.45/194.27 [7685]P1(f324(x76851,f2(a1)))+~P1(f324(f324(f235(a920),x76852),x76853))+~P1(f324(x76851,f324(f102(a1),f324(f324(f3(a920),x76852),x76853)))) % 194.45/194.27 [7703]~P1(f324(f61(x77031),x77032))+E(f324(f35(x77031),f324(f324(f3(f928(x77031,a916)),x77032),f324(f324(f306(x77031),x77033),f189(f928(x77031,a916))))),f324(f35(x77031),x77032))+P1(f324(f324(f326(x77031),x77033),x77032)) % 194.45/194.27 [7834]~P129(x78341)+~P1(f324(f324(f235(x78341),f77(x78341)),x78342))+P1(f324(f324(f235(x78341),f77(x78341)),f324(f324(f80(x78341),x78342),f324(f324(f244(x78341),x78342),x78343)))) % 194.45/194.27 [7876]~P1(f324(f61(x78761),x78763))+E(f324(f324(f3(a920),f324(f35(x78761),x78762)),f324(f35(x78761),x78763)),f324(f35(x78761),f324(f324(f3(f928(x78761,a916)),x78762),x78763)))+~P1(f324(f324(f234(f928(x78761,a916)),x78763),x78762)) % 194.45/194.27 [7933]~P1(f324(f324(f234(a920),x79332),x79333))+~P1(f324(f324(f234(a920),x79331),f324(f324(f3(a920),x79333),x79332)))+P1(f324(f324(f234(a920),f324(f324(f79(a920),x79331),x79332)),x79333)) % 194.45/194.27 [7992]P1(f324(f61(x79921),x79922))+~P1(f324(f61(x79921),x79923))+~P1(f324(f61(x79921),f324(f324(f3(f928(x79921,a916)),x79922),x79923))) % 194.45/194.27 [7998]~P1(f324(f61(x79981),x79982))+E(f324(f35(x79981),f324(f324(f3(f928(x79981,a916)),x79982),f324(f324(f306(x79981),x79983),f189(f928(x79981,a916))))),f324(f324(f3(a920),f324(f35(x79981),x79982)),f77(a920)))+~P1(f324(f324(f326(x79981),x79983),x79982)) % 194.45/194.27 [8074]P60(x80741,x80742)+~P60(x80741,x80743)+~P1(f324(f324(f234(f928(x80741,f928(x80741,a916))),x80742),x80743)) % 194.45/194.27 [8117]~P1(f324(f324(f234(a920),x81173),x81172))+P1(f324(f324(f234(a920),x81171),f324(f324(f3(a920),x81172),x81173)))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),x81171),x81173)),x81172)) % 194.45/194.27 [8137]P35(x81371,x81372)+~P35(x81371,x81373)+~P1(f324(f324(f234(f928(f927(x81371,x81371),a916)),x81372),x81373)) % 194.45/194.27 [8138]P58(x81381,x81382)+~P58(x81381,x81383)+~P1(f324(f324(f234(f928(f927(x81381,x81381),a916)),x81382),x81383)) % 194.45/194.27 [8139]P37(x81391,x81392)+~P37(x81391,x81393)+~P1(f324(f324(f234(f928(f927(x81391,x81391),a916)),x81392),x81393)) % 194.45/194.27 [8372]~P129(x83721)+~P1(f324(f324(f235(x83721),f77(x83721)),x83722))+P1(f324(f324(f235(x83721),f324(f324(f244(x83721),x83722),x83723)),f324(f324(f80(x83721),x83722),f324(f324(f244(x83721),x83722),x83723)))) % 194.45/194.27 [8462]~P1(f324(x84621,f2(a1)))+~P1(f324(x84621,f324(f324(f3(a1),f324(f102(a1),x84622)),f324(f102(a1),x84623))))+P1(f324(x84621,f324(f102(a1),f324(f324(f3(a920),x84622),x84623)))) % 194.45/194.27 [8477]~P1(f324(f324(f234(a920),x84773),x84772))+P1(f324(x84771,f324(f324(f3(a1),f324(f102(a1),x84772)),f324(f102(a1),x84773))))+~P1(f324(x84771,f324(f102(a1),f324(f324(f3(a920),x84772),x84773)))) % 194.45/194.27 [8497]P1(f324(f324(f235(a920),x84971),x84972))+~P1(f324(x84973,f324(f324(f3(a1),f324(f102(a1),x84971)),f324(f102(a1),x84972))))+P1(f324(x84973,f324(f102(a1),f324(f324(f3(a920),x84971),x84972)))) % 194.45/194.27 [8551]~P130(x85512)+E(x85511,f2(x85512))+P1(f324(f324(f235(x85512),f2(x85512)),f324(f324(f79(x85512),f324(f324(f80(x85512),x85513),x85513)),f324(f324(f80(x85512),x85511),x85511)))) % 194.45/194.27 [8552]~P130(x85522)+E(x85521,f2(x85522))+P1(f324(f324(f235(x85522),f2(x85522)),f324(f324(f79(x85522),f324(f324(f80(x85522),x85521),x85521)),f324(f324(f80(x85522),x85523),x85523)))) % 194.45/194.27 [8656]~P1(f324(f324(f235(a920),f2(a920)),x86561))+~P1(f324(f324(f235(a1),x86562),x86563))+P1(f324(f324(f235(a1),f324(f324(f80(a1),f324(f102(a1),x86561)),x86562)),f324(f324(f80(a1),f324(f102(a1),x86561)),x86563))) % 194.45/194.27 [8711]E(f324(f324(f103(f928(x87111,a916)),x87112),f37(f928(x87111,a916),x87113)),f189(f928(x87111,a916)))+P1(f324(f324(f326(f928(x87111,a916)),x87112),x87113))+P1(f324(f324(f326(f928(x87111,a916)),f665(x87113,x87112,x87111)),f324(f324(f306(f928(x87111,a916)),x87112),x87113))) % 194.45/194.27 [8712]E(f324(f324(f103(f928(x87121,a916)),x87122),f37(f928(x87121,a916),x87123)),f189(f928(x87121,a916)))+P1(f324(f324(f326(f928(x87121,a916)),x87122),x87123))+P1(f324(f324(f326(f928(x87121,a916)),f664(x87123,x87122,x87121)),f324(f324(f306(f928(x87121,a916)),x87122),x87123))) % 194.45/194.27 [8741]E(x87411,x87412)+~E(f324(f190(f921(x87413)),x87411),f324(f190(f921(x87413)),x87412))+P1(f324(f324(f326(f927(x87413,x87413)),f693(x87413,x87411,x87412)),f324(f172(f927(x87413,x87413)),f324(f324(f181(x87413,x87413),x87412),x87411)))) % 194.45/194.27 [8990]E(f304(x89901,x89902),f304(x89901,x89903))+~P1(f324(f324(f234(f928(f927(x89901,x89901),a916)),x89903),f304(x89901,x89902)))+~P1(f324(f324(f234(f928(f927(x89901,x89901),a916)),x89902),x89903)) % 194.45/194.27 [9060]~P53(x90601,f242(f928(x90601,a916)),x90603)+P1(f324(f324(f234(f928(f927(f921(x90601),f921(x90601)),a916)),f157(x90601,x90602)),f158(x90601,x90603)))+~P1(f324(f324(f234(f928(f927(x90601,x90601),a916)),x90602),x90603)) % 194.45/194.27 [9258]P35(x92581,x92582)+~P1(f324(f324(f326(x92581),x92583),f629(x92582,x92581)))+P1(f324(f324(f326(f927(x92581,x92581)),f324(f324(f252(x92581,x92581),f643(x92582,x92581,x92583)),x92583)),x92582)) % 194.45/194.27 [9300]~P1(f324(f61(x93001),x93002))+P1(f324(f61(f928(x93001,a916)),f324(f324(f60(x93001),x93002),x93003)))+~P1(f324(f324(f234(f928(f927(x93001,x93001),a916)),x93003),f324(f324(f254(x93001,x93001),x93002),f324(f18(f928(x93001,a916),x93001),x93002)))) % 194.45/194.27 [9341]P53(x93411,x93412,x93413)+P1(f324(f324(f326(x93411),f566(x93413,x93412,x93411)),x93412))+~P1(f324(f324(f234(f928(f927(x93411,x93411),a916)),x93413),f324(f324(f254(x93411,x93411),x93412),f324(f18(f928(x93411,a916),x93411),x93412)))) % 194.45/194.27 [9342]P53(x93421,x93422,x93423)+P1(f324(f324(f326(x93421),f572(x93422,x93423,x93421)),x93422))+~P1(f324(f324(f234(f928(f927(x93421,x93421),a916)),x93423),f324(f324(f254(x93421,x93421),x93422),f324(f18(f928(x93421,a916),x93421),x93422)))) % 194.45/194.27 [9376]~P73(x93761)+~P1(f324(f324(f235(x93761),x93762),x93763))+P1(f324(f324(f235(x93761),f324(f324(f287(x93761),f324(f324(f79(x93761),x93762),x93763)),f324(f324(f79(x93761),f77(x93761)),f77(x93761)))),x93763)) % 194.45/194.27 [9405]~P72(x94051)+P1(f324(f324(f234(x94051),x94052),x94053))+~P1(f324(f324(f234(x94051),f324(f324(f80(x94051),f351(x94053,x94052,x94051)),x94052)),x94053)) % 194.45/194.27 [9543]E(f324(f190(f921(f921(x95431))),f324(f136(f921(x95431),f324(f324(f10(a920,a916,f921(x95431)),f324(f235(a920),x95432)),f190(f921(x95431)))),f179(x95431,x95433))),f324(f190(f921(x95431)),f324(f324(f164(f921(x95431)),x95433),x95432)))+~P10(a920,f324(f168(a920),f324(f324(f154(f921(x95431),a920),f190(f921(x95431))),x95433)))+~P1(f324(f324(f235(a920),x95432),f324(f190(f921(f921(x95431))),x95433))) % 194.45/194.27 [9658]~P35(x96581,x96582)+P24(x96581,f324(f324(f252(f928(f927(x96581,x96581),a916),f928(f927(x96581,x96581),a916)),x96582),x96583))+~P1(f324(f324(f234(f928(f927(x96581,x96581),a916)),f324(f324(f286(x96581,x96581,x96581),x96582),x96583)),x96582)) % 194.45/194.27 [9664]E(f324(f324(f154(f921(x96641),x96641),f324(f324(f9(f921(x96641),a920,x96641),f164(x96641)),x96642)),f324(f136(f921(x96641),f324(f324(f10(a920,a916,f921(x96641)),f324(f235(a920),x96642)),f190(f921(x96641)))),f179(x96641,x96643))),f324(f324(f164(f921(x96641)),x96643),x96642))+~P10(a920,f324(f168(a920),f324(f324(f154(f921(x96641),a920),f190(f921(x96641))),x96643)))+~P1(f324(f324(f235(a920),x96642),f324(f190(f921(f921(x96641))),x96643))) % 194.45/194.27 [9800]P53(x98001,x98002,x98003)+~P1(f324(f324(f326(f927(x98001,x98001)),f324(f324(f252(x98001,x98001),f566(x98003,x98002,x98001)),f566(x98003,x98002,x98001))),x98003))+~P1(f324(f324(f234(f928(f927(x98001,x98001),a916)),x98003),f324(f324(f254(x98001,x98001),x98002),f324(f18(f928(x98001,a916),x98001),x98002)))) % 194.45/194.27 [9801]P53(x98011,x98012,x98013)+~P1(f324(f324(f326(f927(x98011,x98011)),f324(f324(f252(x98011,x98011),f572(x98012,x98013,x98011)),f572(x98012,x98013,x98011))),x98013))+~P1(f324(f324(f234(f928(f927(x98011,x98011),a916)),x98013),f324(f324(f254(x98011,x98011),x98012),f324(f18(f928(x98011,a916),x98011),x98012)))) % 194.45/194.27 [9974]~P144(x99741)+~P127(x99741)+E(f324(f324(f287(x99741),f324(f104(x99741),f324(f324(f72(f927(a1,a1),a1,x99742,f251(a1,a1)),f213(x99742)),x99743))),f324(f104(x99741),f324(f324(f72(f927(a1,a1),a1,x99742,f256(a1,a1)),f213(x99742)),x99743))),f223(x99742,x99741,x99743)) % 194.45/194.27 [10167]~E(x101673,f2(a920))+~E(f324(f190(f921(x101671)),f324(f324(f164(f921(x101671)),x101672),f741(x101673,x101671,x101672))),x101673)+E(f324(f324(f154(a920,f921(x101671)),f324(f324(f9(a920,f921(a920),f921(x101671)),f324(f324(f10(f928(a920,x101671),f928(f921(a920),f921(x101671)),a920),f154(a920,x101671)),f324(f9(a920,a920,x101671),f324(f324(f10(f921(x101671),f928(a920,x101671),a920),f164(x101671)),f324(f164(f921(x101671)),x101672))))),f139(a920,f324(f299(a920,f2(a920)),f324(f190(f921(f921(x101671))),x101672))))),f139(a920,f324(f299(a920,f2(a920)),x101673))),f179(x101671,x101672)) % 194.45/194.27 [10168]E(x101681,f115(f921(x101682)))+~E(f324(f190(f921(x101682)),f324(f324(f164(f921(x101682)),x101681),f741(x101683,x101682,x101681))),x101683)+E(f324(f324(f154(a920,f921(x101682)),f324(f324(f9(a920,f921(a920),f921(x101682)),f324(f324(f10(f928(a920,x101682),f928(f921(a920),f921(x101682)),a920),f154(a920,x101682)),f324(f9(a920,a920,x101682),f324(f324(f10(f921(x101682),f928(a920,x101682),a920),f164(x101682)),f324(f164(f921(x101682)),x101681))))),f139(a920,f324(f299(a920,f2(a920)),f324(f190(f921(f921(x101682))),x101681))))),f139(a920,f324(f299(a920,f2(a920)),x101683))),f179(x101682,x101681)) % 194.45/194.27 [10169]~E(x101693,f2(a920))+E(f324(f324(f154(a920,f921(x101691)),f324(f324(f9(a920,f921(a920),f921(x101691)),f324(f324(f10(f928(a920,x101691),f928(f921(a920),f921(x101691)),a920),f154(a920,x101691)),f324(f9(a920,a920,x101691),f324(f324(f10(f921(x101691),f928(a920,x101691),a920),f164(x101691)),f324(f164(f921(x101691)),x101692))))),f139(a920,f324(f299(a920,f2(a920)),f324(f190(f921(f921(x101691))),x101692))))),f139(a920,f324(f299(a920,f2(a920)),x101693))),f179(x101691,x101692))+P1(f324(f324(f235(a920),f741(x101693,x101691,x101692)),f324(f190(f921(f921(x101691))),x101692))) % 194.45/194.27 [10170]E(x101701,f115(f921(x101702)))+E(f324(f324(f154(a920,f921(x101702)),f324(f324(f9(a920,f921(a920),f921(x101702)),f324(f324(f10(f928(a920,x101702),f928(f921(a920),f921(x101702)),a920),f154(a920,x101702)),f324(f9(a920,a920,x101702),f324(f324(f10(f921(x101702),f928(a920,x101702),a920),f164(x101702)),f324(f164(f921(x101702)),x101701))))),f139(a920,f324(f299(a920,f2(a920)),f324(f190(f921(f921(x101702))),x101701))))),f139(a920,f324(f299(a920,f2(a920)),x101703))),f179(x101702,x101701))+P1(f324(f324(f235(a920),f741(x101703,x101702,x101701)),f324(f190(f921(f921(x101702))),x101701))) % 194.45/194.27 [7873]E(f324(f324(f79(a920),f324(f105(a920),x78731)),f324(f324(f79(a920),f324(f105(a920),x78732)),x78733)),f324(f324(f79(a920),f324(f105(a920),f324(f324(f79(a1),x78731),x78732))),x78733))+P1(f324(a194,f324(f105(a1),x78731)))+P1(f324(a194,f324(f105(a1),x78732))) % 194.45/194.27 [8647]~P1(f324(f61(x86471),x86472))+~P1(f324(f324(f326(x86471),x86473),x86472))+E(f324(a114,f324(f35(x86471),f324(f324(f3(f928(x86471,a916)),x86472),f324(f324(f306(x86471),x86473),f189(f928(x86471,a916)))))),f324(f35(x86471),x86472)) % 194.45/194.27 [8663]~P1(f324(f61(x86631),x86632))+~P1(f324(f324(f326(x86631),x86633),x86632))+E(f324(f324(f79(a920),f77(a920)),f324(f35(x86631),f324(f324(f3(f928(x86631,a916)),x86632),f324(f324(f306(x86631),x86633),f189(f928(x86631,a916)))))),f324(f35(x86631),x86632)) % 194.45/194.27 [8750]~P112(x87501)+~P1(f324(f61(x87501),x87503))+E(f324(f324(f148(x87501,x87501,f7(x87501)),x87502),f139(x87501,f324(f324(f3(f928(x87501,a916)),x87503),f324(f324(f306(x87501),x87502),f189(f928(x87501,a916)))))),f139(x87501,f324(f324(f306(x87501),x87502),x87503))) % 194.45/194.27 [8914]~P1(f324(f61(x89141),x89143))+~P1(f324(f61(x89141),x89142))+E(f324(f324(f79(a920),f324(f35(x89141),f324(f324(f112(f928(x89141,a916)),x89142),x89143))),f324(f35(x89141),f324(f324(f103(f928(x89141,a916)),x89142),x89143))),f324(f324(f79(a920),f324(f35(x89141),x89142)),f324(f35(x89141),x89143))) % 194.45/194.27 [10116]~P22(x101161,f928(f928(x101161,a916),a916),f324(f324(f9(x101161,f928(f927(x101161,x101161),a916),f928(f928(x101161,a916),a916)),f324(f324(f10(f928(x101161,a916),f928(f928(f927(x101161,x101161),a916),f928(f928(x101161,a916),a916)),x101161),f60(x101161)),f324(f324(f9(x101161,f928(x101161,a916),f928(x101161,a916)),f306(x101161)),f189(f928(x101161,a916))))),x101163),x101162)+~P1(f324(f61(x101161),x101162))+E(f324(f35(f928(x101161,a916)),f324(f324(f60(x101161),x101162),x101163)),f324(f35(x101161),x101162)) % 194.45/194.27 [10399]~P38(f928(x103991,a916),f928(x103991,a916),x103992)+~P1(f324(f324(f234(f928(x103991,a916)),x103993),f324(x103992,f97(f928(x103991,a916),f324(f324(f9(f928(x103991,a916),f928(x103991,a916),f928(x103991,a916)),f324(f324(f10(f928(x103991,a916),f928(f928(x103991,a916),f928(x103991,a916)),f928(x103991,a916)),f112(f928(x103991,a916))),f324(f324(f9(f928(x103991,a916),f928(x103991,a916),f928(x103991,a916)),f324(f324(f10(f928(x103991,a916),f928(f928(x103991,a916),f928(x103991,a916)),f928(x103991,a916)),f112(f928(x103991,a916))),x103992)),x103993))),f98(f928(x103991,a916),x103992))))))+P1(f324(f324(f234(f928(x103991,a916)),f97(f928(x103991,a916),f324(f324(f9(f928(x103991,a916),f928(x103991,a916),f928(x103991,a916)),f324(f324(f10(f928(x103991,a916),f928(f928(x103991,a916),f928(x103991,a916)),f928(x103991,a916)),f112(f928(x103991,a916))),f324(f324(f9(f928(x103991,a916),f928(x103991,a916),f928(x103991,a916)),f324(f324(f10(f928(x103991,a916),f928(f928(x103991,a916),f928(x103991,a916)),f928(x103991,a916)),f112(f928(x103991,a916))),x103992)),x103993))),f98(f928(x103991,a916),x103992)))),f324(x103992,f97(f928(x103991,a916),f324(f324(f9(f928(x103991,a916),f928(x103991,a916),f928(x103991,a916)),f324(f324(f10(f928(x103991,a916),f928(f928(x103991,a916),f928(x103991,a916)),f928(x103991,a916)),f112(f928(x103991,a916))),f324(f324(f9(f928(x103991,a916),f928(x103991,a916),f928(x103991,a916)),f324(f324(f10(f928(x103991,a916),f928(f928(x103991,a916),f928(x103991,a916)),f928(x103991,a916)),f112(f928(x103991,a916))),x103992)),x103993))),f98(f928(x103991,a916),x103992)))))) % 194.45/194.27 [8152]~P102(x81521)+P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x81523)))+E(f324(f324(f244(x81521),x81522),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),x81523),x81523)),a99))),f77(x81521)) % 194.45/194.27 [9643]~P102(x96431)+~P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),x96433)))+E(f324(f324(f244(x96431),x96432),f324(f105(a920),f324(f324(f3(a1),f324(f324(f79(a1),x96433),x96433)),a99))),f324(f324(f85(x96431,x96431),f324(f324(f244(x96431),x96432),f324(f105(a920),x96433))),f324(f324(f20(x96431,x96431,x96431),f324(f324(f10(x96431,f928(x96431,x96431),x96431),f80(x96431)),f324(f80(x96431),x96432))),f7(x96431)))) % 194.45/194.27 [10035]~P1(f324(f137(x100351),x100353))+~P1(f324(f324(f326(x100351),x100352),f324(f172(x100351),x100353)))+E(f324(f324(f138(x100351),f324(f190(f921(x100351)),f177(x100351,f324(f324(f10(a916,a916,x100351),a319),f324(f324(f9(x100351,x100351,a916),a321),x100352)),f324(f168(x100351),x100353)))),f324(f168(x100351),x100353)),f324(f324(f151(x100351),x100352),f324(f168(x100351),f177(x100351,f324(f324(f10(a916,a916,x100351),a319),f324(f324(f9(x100351,x100351,a916),a321),x100352)),x100353)))) % 194.45/194.27 [10097]P1(f324(f324(f234(f928(f927(x100971,x100971),a916)),f304(x100971,x100972)),x100973))+~P1(f324(f324(f234(f928(f927(x100971,x100971),a916)),f304(x100971,f189(f928(f927(x100971,x100971),a916)))),x100973))+~P1(f324(f324(f234(f928(f927(x100971,x100971),a916)),f324(f324(f286(x100971,x100971,x100971),f324(f324(f103(f928(f927(x100971,x100971),a916)),f304(x100971,x100972)),x100973)),x100972)),x100973)) % 194.45/194.27 [9952]~P1(f324(f61(x99521),f324(f262(x99521),x99523)))+~P1(f324(f61(x99521),f324(f262(x99521),x99522)))+P1(f324(f61(x99521),f324(f262(x99521),f324(f324(f20(x99521,a916,a916),f324(f324(f10(a916,f928(a916,a916),x99521),a323),x99522)),x99523)))) % 194.45/194.27 [10229]P1(f324(f324(f234(f928(f927(x102291,x102291),a916)),f324(f324(f286(x102291,x102291,x102291),x102292),f304(x102291,x102292))),x102293))+~P1(f324(f324(f234(f928(f927(x102291,x102291),a916)),x102292),x102293))+~P1(f324(f324(f234(f928(f927(x102291,x102291),a916)),f324(f324(f286(x102291,x102291,x102291),f324(f324(f103(f928(f927(x102291,x102291),a916)),f324(f324(f286(x102291,x102291,x102291),x102292),f304(x102291,x102292))),x102293)),x102292)),x102293)) % 194.45/194.27 [10183]~P125(x101832)+E(x101831,f2(x101832))+~E(f324(f324(f79(x101832),f324(f324(f244(x101832),x101833),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x101832),x101831),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f2(x101832)) % 194.45/194.27 [10184]~P125(x101842)+E(x101841,f2(x101842))+~E(f324(f324(f79(x101842),f324(f324(f244(x101842),x101841),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x101842),x101843),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f2(x101842)) % 194.45/194.27 [10189]~P1(f324(f137(x101891),x101893))+~P1(f324(f324(f326(x101891),x101892),f324(f172(x101891),x101893)))+E(f324(f168(x101891),f324(f171(x101891),f324(f324(f138(x101891),f324(f190(f921(x101891)),f177(x101891,f324(f324(f10(a916,a916,x101891),a319),f324(f324(f9(x101891,x101891,a916),a321),x101892)),x101893))),x101893))),f177(x101891,f324(f324(f10(a916,a916,x101891),a319),f324(f324(f9(x101891,x101891,a916),a321),x101892)),f324(f168(x101891),x101893))) % 194.45/194.27 [10277]~P125(x102772)+E(x102771,f2(x102772))+P1(f324(f324(f235(x102772),f2(x102772)),f324(f324(f79(x102772),f324(f324(f244(x102772),x102773),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x102772),x102771),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))))) % 194.45/194.27 [10278]~P125(x102782)+E(x102781,f2(x102782))+P1(f324(f324(f235(x102782),f2(x102782)),f324(f324(f79(x102782),f324(f324(f244(x102782),x102781),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x102782),x102783),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))))) % 194.45/194.27 [10330]~P125(x103301)+P1(f324(f324(f234(x103301),f2(x103301)),x103302))+~P1(f324(f324(f234(x103301),f2(x103301)),f324(f324(f244(x103301),x103302),f324(a114,f324(f324(f80(a920),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),x103303))))) % 194.45/194.27 [5625]~P11(x56251,x56254,x56253)+P11(x56251,x56252,x56253)+~P11(x56251,x56252,x56254) % 194.45/194.27 [5088]~E(x50882,f89(x50883,x50881))+P1(f324(x50881,x50882))+~P1(f324(x50881,x50884)) % 194.45/194.27 [5338]E(f68(x53383,x53382,x53384),x53382)+E(x53381,f768(x53382,x53383,x53384))+~P1(f324(x53384,x53381)) % 194.45/194.27 [6655]E(f68(x66551,x66552,x66553),f84(x66551,x66553))+~E(f805(x66552,x66551,x66553,x66554),x66554)+~P1(f324(x66553,x66554)) % 194.45/194.27 [6863]~P35(x68632,x68634)+~P35(x68631,x68633)+P35(f927(x68631,x68632),f317(x68631,x68632,x68633,x68634)) % 194.45/194.27 [6864]~P36(x68642,x68644)+~P36(x68641,x68643)+P36(f927(x68641,x68642),f317(x68641,x68642,x68643,x68644)) % 194.45/194.27 [8227]~P40(f29(x82274,x82271),x82272,x82273,x82272)+P40(x82271,x82272,x82273,f416(x82273,x82272,x82271,x82274))+~P1(f324(x82274,x82272)) % 194.45/194.27 [8255]~P40(f29(x82551,x82552),x82554,x82553,x82554)+P40(f29(x82551,x82552),f416(x82553,x82554,x82552,x82551),x82553,x82554)+~P1(f324(x82551,x82554)) % 194.45/194.27 [5277]~P4(x52774,x52771)+~E(f324(x52771,x52772),f324(x52771,x52773))+P1(f324(f324(x52771,x52772),x52773)) % 194.45/194.27 [5442]~P4(x54424,x54421)+E(f324(x54421,x54422),f324(x54421,x54423))+~P1(f324(f324(x54421,x54422),x54423)) % 194.45/194.27 [5443]~P13(x54434,x54431)+E(f324(x54431,x54432),f324(x54431,x54433))+~P1(f324(f324(x54431,x54432),x54433)) % 194.45/194.27 [5534]~P16(x55343,x55344,x55341)+E(f324(x55341,x55342),f324(f63(x55343,x55344),x55342))+~P1(f324(f61(x55343),x55342)) % 194.45/194.27 [5535]~P6(x55353,x55354,x55351)+E(f324(x55351,x55352),f324(f63(x55353,x55354),x55352))+~P1(f324(f61(x55353),x55352)) % 194.45/194.27 [5658]~P4(x56584,x56581)+~P1(f324(f324(x56581,x56583),x56582))+P1(f324(f324(x56581,x56582),x56583)) % 194.45/194.27 [5659]~P51(x56594,x56591)+~P1(f324(f324(x56591,x56593),x56592))+P1(f324(f324(x56591,x56592),x56593)) % 194.45/194.27 [5660]~P13(x56604,x56601)+~P1(f324(f324(x56601,x56603),x56602))+P1(f324(f324(x56601,x56602),x56603)) % 194.45/194.27 [5661]~P13(x56613,x56611)+P1(f324(f324(x56611,x56612),x56612))+~P1(f324(f324(x56611,x56614),x56612)) % 194.45/194.27 [5662]~P13(x56623,x56621)+P1(f324(f324(x56621,x56622),x56622))+~P1(f324(f324(x56621,x56622),x56624)) % 194.45/194.27 [5734]E(x57341,x57342)+~E(f324(f251(x57343,x57344),x57341),f324(f251(x57343,x57344),x57342))+~E(f324(f256(x57343,x57344),x57341),f324(f256(x57343,x57344),x57342)) % 194.45/194.27 [5761]E(x57611,x57612)+~P1(f324(f48(x57613,x57614),x57612))+~P1(f324(f48(x57613,x57614),x57611)) % 194.45/194.27 [5951]~P77(x59512)+E(f232(x59511,x59512,x59513,x59514),f2(x59512))+P1(f324(f61(x59511),x59514)) % 194.45/194.27 [6093]~P1(f324(f312(x60931,x60932),x60934))+P1(f324(f312(x60931,x60932),x60933))+~P1(f324(f324(x60932,x60933),x60934)) % 194.45/194.27 [6897]~P28(x68971,x68973,x68974)+P1(f324(x68971,x68972))+~P1(f324(f324(f326(a1),x68972),f300(a1,x68973,x68974))) % 194.45/194.27 [7987]E(x79871,f2(a920))+~P1(f324(x79872,x79873))+P1(f324(x79872,f800(x79872,x79873,x79871,x79874))) % 194.45/194.27 [8069]~P112(x80692)+~P1(f324(f137(x80691),x80694))+P1(f324(f137(x80691),f150(x80691,x80692,x80693,x80694))) % 194.45/194.27 [8116]E(f68(x81161,x81162,x81163),f84(x81161,x81163))+~P1(f324(x81163,x81164))+P1(f324(x81163,f805(x81162,x81161,x81163,x81164))) % 194.45/194.27 [8297]~P1(f324(f61(x82972),x82974))+~P1(f324(f61(x82971),x82973))+P1(f324(f61(f926(x82971,x82972)),f310(x82971,x82972,x82973,x82974))) % 194.45/194.27 [8298]~P1(f324(f137(x82982),x82984))+~P1(f324(f137(x82981),x82983))+P1(f324(f137(f927(x82981,x82982)),f59(x82981,x82982,x82983,x82984))) % 194.45/194.27 [8301]P1(f324(f324(f326(f921(x83011)),f324(f324(f134(x83011),x83012),x83013)),f161(x83011,x83014)))+~P1(f324(f324(f326(f921(x83011)),x83013),f161(x83011,x83014)))+~P1(f324(f324(f326(f921(x83011)),x83012),f161(x83011,x83014))) % 194.45/194.27 [8581]E(x85811,f2(a920))+P1(f324(x85812,x85813))+~P1(f324(x85812,f801(x85812,x85813,x85811,x85814))) % 194.45/194.27 [8620]~P112(x86203)+~P1(f324(f137(x86201),f150(x86201,x86203,x86204,x86202)))+P1(f324(f137(x86201),x86202)) % 194.45/194.27 [8903]~P1(f324(f324(f326(f927(x89031,x89031)),f324(f324(f252(x89031,x89031),x89032),x89034)),f304(x89031,x89033)))+P1(f324(f324(f326(x89031),x89032),f313(x89031,x89033)))+~P1(f324(f324(f326(x89031),x89034),f313(x89031,x89033))) % 194.45/194.27 [5258]~P77(x52582)+E(f324(f324(f8(x52581,x52582),x52583),x52584),f2(x52582))+P1(f324(f61(x52581),x52584)) % 194.45/194.27 [5261]~P81(x52612)+E(f324(f324(f11(x52611,x52612),x52613),x52614),f77(x52612))+P1(f324(f61(x52611),x52614)) % 194.45/194.27 [5406]~P78(x54063)+E(x54061,x54062)+~E(f324(f324(f79(x54063),x54064),x54061),f324(f324(f79(x54063),x54064),x54062)) % 194.45/194.27 [5407]~P79(x54073)+E(x54071,x54072)+~E(f324(f324(f79(x54073),x54074),x54071),f324(f324(f79(x54073),x54074),x54072)) % 194.45/194.27 [5409]~P78(x54093)+E(x54091,x54092)+~E(f324(f324(f79(x54093),x54091),x54094),f324(f324(f79(x54093),x54092),x54094)) % 194.45/194.27 [5530]~P2(x55303)+E(x55301,f189(f928(x55302,a916)))+E(f324(f324(f39(x55302,x55303),x55301),f324(f18(x55303,x55302),x55304)),x55304) % 194.45/194.27 [5531]~P2(x55313)+E(x55311,f189(f928(x55312,a916)))+E(f324(f324(f40(x55312,x55313),x55311),f324(f18(x55313,x55312),x55314)),x55314) % 194.45/194.27 [5679]~E(x56794,f189(f928(x56791,a916)))+~E(x56794,f324(f324(f306(x56791),x56792),x56793))+P1(f324(f324(f326(x56791),x56792),x56793)) % 194.45/194.27 [5747]~P113(x57473)+E(x57471,x57472)+~E(f300(x57473,x57474,x57471),f324(f324(f306(x57473),x57472),f189(f928(x57473,a916)))) % 194.45/194.27 [5748]~P113(x57483)+E(x57481,x57482)+~E(f300(x57483,x57481,x57482),f324(f324(f306(x57483),x57484),f189(f928(x57483,a916)))) % 194.45/194.27 [5809]~P33(x58093,x58091,x58094)+P33(x58093,x58091,f324(f324(f151(x58093),x58092),x58094))+P1(f324(x58091,x58092)) % 194.45/194.27 [5910]~P29(x59101,x59102,x59104)+~P1(f324(x59102,x59103))+P29(x59101,x59102,f324(f324(f151(x59101),x59103),x59104)) % 194.45/194.27 [6050]P1(f324(x60501,x60502))+~P1(f324(f248(x60503,x60501),x60504))+~P1(f324(f324(f326(x60503),x60502),x60504)) % 194.45/194.27 [6059]~P29(x60591,x60592,x60594)+~P29(x60591,x60592,x60593)+P29(x60591,x60592,f324(f324(f134(x60591),x60593),x60594)) % 194.45/194.27 [6072]P31(x60721,x60722,x60723)+~P31(x60721,x60722,f324(f324(f151(x60721),x60724),x60723))+P1(f324(x60722,x60724)) % 194.45/194.27 [6073]P33(x60731,x60732,x60733)+~P33(x60731,x60732,f324(f324(f151(x60731),x60734),x60733))+P1(f324(x60732,x60734)) % 194.45/194.27 [6151]P31(x61511,x61512,x61513)+P31(x61511,x61512,x61514)+~P31(x61511,x61512,f324(f324(f134(x61511),x61514),x61513)) % 194.45/194.27 [6170]~P77(x61701)+E(f324(f324(f8(a920,x61701),x61702),f324(f299(a920,x61703),f324(a114,x61704))),f2(x61701))+~P1(f324(f324(f235(a920),x61704),x61703)) % 194.45/194.27 [6175]~P68(x61751)+~E(f45(x61751,x61752,x61753),f45(x61751,x61754,x61753))+E(f45(x61751,f324(f78(x61751),x61752),x61753),f45(x61751,f324(f78(x61751),x61754),x61753)) % 194.45/194.27 [6245]P1(f324(x62451,x62452))+~E(f324(f136(x62453,x62451),x62454),x62454)+~P1(f324(f324(f326(x62453),x62452),f324(f172(x62453),x62454))) % 194.45/194.27 [6264]~E(f324(f324(f79(a920),x62643),x62642),f324(f324(f79(a920),x62641),x62644))+~P1(f324(f324(f235(a920),x62643),x62644))+P1(f324(f324(f235(a920),x62641),x62642)) % 194.45/194.27 [6271]P31(x62711,x62712,x62713)+~P1(f324(x62712,x62714))+~P1(f324(f324(f326(x62711),x62714),f324(f172(x62711),x62713))) % 194.45/194.27 [6309]~P29(x63093,x63091,x63094)+P1(f324(x63091,x63092))+~P1(f324(f324(f326(x63093),x63092),f324(f172(x63093),x63094))) % 194.45/194.27 [6311]~E(f324(f136(x63111,x63112),x63113),f115(x63111))+~P1(f324(x63112,x63114))+~P1(f324(f324(f326(x63111),x63114),f324(f172(x63111),x63113))) % 194.45/194.27 [6312]~E(f177(x63123,x63121,x63124),x63124)+P1(f324(x63121,x63122))+~P1(f324(f324(f326(x63123),x63122),f324(f172(x63123),x63124))) % 194.45/194.27 [6340]~E(x63404,f189(f928(x63402,a916)))+~E(x63403,f189(f928(x63401,a916)))+E(f310(x63401,x63402,x63403,x63404),f189(f928(f926(x63401,x63402),a916))) % 194.45/194.27 [6487]P1(f324(x64871,x64872))+~P1(f324(f160(x64873,x64871),x64874))+~P1(f324(f324(f326(x64873),x64872),f324(f172(x64873),x64874))) % 194.45/194.27 [6761]~P77(x67611)+E(f324(f324(f8(a920,x67611),x67612),f300(a920,x67613,f324(a114,x67614))),f2(x67611))+~P1(f324(f324(f235(a920),f324(a114,x67614)),x67613)) % 194.45/194.27 [6900]~P112(x69001)+E(f324(f324(f3(f928(x69001,a916)),f324(f299(x69001,x69002),x69003)),f324(f299(x69001,x69002),x69004)),f324(f299(x69001,x69004),x69003))+~P1(f324(f324(f234(x69001),x69002),x69004)) % 194.45/194.27 [6971]~E(x69713,x69714)+E(x69711,f2(a920))+P1(f324(f324(f326(x69712),x69713),f324(f172(x69712),f169(x69712,x69711,x69714)))) % 194.45/194.27 [7250]~P1(f324(f324(f326(f921(x72501)),x72504),f161(x72501,x72503)))+P1(f324(f324(f326(x72501),x72502),x72503))+~P1(f324(f324(f326(x72501),x72502),f324(f172(x72501),x72504))) % 194.45/194.27 [7257]~P35(x72571,x72572)+P1(f324(f324(f326(x72571),f631(x72572,x72571,x72573)),x72573))+~P1(f324(f324(f326(x72571),x72574),x72573)) % 194.45/194.27 [7312]~P77(x73121)+E(f324(f324(f324(f65(x73121,x73122,f79(x73121)),x73123),f2(x73121)),x73124),f324(f324(f8(x73122,x73121),x73123),x73124))+~P1(f324(f61(x73122),x73124)) % 194.45/194.27 [7314]~P81(x73141)+E(f324(f324(f324(f65(x73141,x73142,f80(x73141)),x73143),f77(x73141)),x73144),f324(f324(f11(x73142,x73141),x73143),x73144))+~P1(f324(f61(x73142),x73144)) % 194.45/194.27 [7344]P22(x73441,x73442,x73443,x73444)+~E(f324(f35(x73442),f324(f307(x73441,x73442,x73443),x73444)),f324(f35(x73441),x73444))+~P1(f324(f61(x73441),x73444)) % 194.45/194.27 [7540]~P77(x75401)+E(f324(f324(f79(x75401),f324(x75402,x75403)),f324(f324(f8(a920,x75401),x75402),f302(a920,x75403,x75404))),f324(f324(f8(a920,x75401),x75402),f300(a920,x75403,x75404)))+~P1(f324(f324(f234(a920),x75403),x75404)) % 194.45/194.27 [7550]~P77(x75501)+~P22(x75502,x75501,x75503,x75504)+E(f324(f324(f8(x75501,x75501),f31(x75501)),f324(f307(x75502,x75501,x75503),x75504)),f324(f324(f8(x75502,x75501),x75503),x75504)) % 194.45/194.27 [7551]~P81(x75511)+~P22(x75512,x75511,x75513,x75514)+E(f324(f324(f11(x75511,x75511),f31(x75511)),f324(f307(x75512,x75511,x75513),x75514)),f324(f324(f11(x75512,x75511),x75513),x75514)) % 194.45/194.27 [7606]E(f324(f35(f926(x76061,x76062)),f310(x76061,x76062,x76063,x76064)),f324(f324(f79(a920),f324(f35(x76061),x76063)),f324(f35(x76062),x76064)))+~P1(f324(f61(x76062),x76064))+~P1(f324(f61(x76061),x76063)) % 194.45/194.27 [7686]E(x76861,x76862)+P1(f324(f324(f326(x76863),x76861),f324(f172(x76863),f170(x76863,x76862,x76864))))+~P1(f324(f324(f326(x76863),x76861),f324(f172(x76863),x76864))) % 194.45/194.27 [7827]~P1(f324(f324(f234(f928(x78271,a916)),x78274),f324(x78273,x78274)))+~P1(f324(f324(f326(x78271),x78272),x78274))+P1(f324(f324(f326(x78271),x78272),f98(f928(x78271,a916),x78273))) % 194.45/194.27 [7912]~P77(x79121)+E(f324(f324(f79(x79121),f324(f324(f8(a920,x79121),x79122),f324(f299(a920,x79123),x79124))),f324(x79122,x79124)),f324(f324(f8(a920,x79121),x79122),f324(f299(a920,x79123),f324(a114,x79124))))+P1(f324(f324(f235(a920),x79124),x79123)) % 194.45/194.27 [7968]~P22(x79681,x79682,x79683,f242(f928(x79681,a916)))+~P1(f324(f61(x79682),x79684))+P1(f324(f61(x79681),f324(f308(x79681,x79682,x79683),x79684))) % 194.45/194.27 [8084]P1(f324(f324(f326(f921(x80841)),f324(f324(f151(x80841),x80842),x80843)),f161(x80841,x80844)))+~P1(f324(f324(f326(f921(x80841)),x80843),f161(x80841,x80844)))+~P1(f324(f324(f326(x80841),x80842),x80844)) % 194.45/194.27 [8176]~E(f324(f307(x81763,x81761,x81764),f242(f928(x81763,a916))),f242(f928(x81761,a916)))+P1(f324(f61(x81761),x81762))+~P1(f324(f61(x81763),f324(f308(x81763,x81761,x81764),x81762))) % 194.45/194.27 [8271]~P22(x82711,x82713,x82714,x82712)+P1(f324(f61(x82711),x82712))+~P1(f324(f61(x82713),f324(f307(x82711,x82713,x82714),x82712))) % 194.45/194.27 [8291]~E(x82912,x82913)+P1(f324(f324(f326(f927(x82911,x82911)),f324(f324(f252(x82911,x82911),x82912),x82913)),f263(x82911,x82914)))+~P1(f324(f324(f326(x82911),x82912),x82914)) % 194.45/194.27 [8326]~P77(x83261)+E(f324(f324(f79(x83261),f324(f324(f8(a920,x83261),x83262),f300(a920,x83263,x83264))),f324(x83262,f324(a114,x83264))),f324(f324(f8(a920,x83261),x83262),f300(a920,x83263,f324(a114,x83264))))+P1(f324(f324(f235(a920),f324(a114,x83264)),x83263)) % 194.45/194.27 [8386]P1(f324(x83861,x83862))+~P1(f324(x83861,f324(f324(f164(x83863),x83864),f692(x83861,x83864,x83863))))+~P1(f324(f324(f326(x83863),x83862),f324(f172(x83863),x83864))) % 194.45/194.27 [8527]~P1(f324(f324(f326(x85271),x85272),f313(x85271,x85274)))+P1(f324(f324(f326(f921(x85271)),f324(f324(f151(x85271),x85272),x85273)),f313(f921(x85271),f157(x85271,x85274))))+~P1(f324(f324(f326(f921(x85271)),x85273),f313(f921(x85271),f157(x85271,x85274)))) % 194.45/194.27 [8542]~P22(x85422,x85423,x85424,f559(x85424,x85423,x85422,x85421))+P22(x85422,x85423,x85424,f38(f928(x85422,a916),x85421))+E(x85421,f189(f928(f928(x85422,a916),a916))) % 194.45/194.27 [8814]E(x88141,x88142)+~P1(f324(f324(f326(f927(x88143,x88143)),f324(f324(f252(x88143,x88143),x88141),x88142)),f304(x88143,x88144)))+P1(f324(f324(f326(x88143),x88141),f324(f264(x88143,x88143),x88144))) % 194.45/194.27 [9094]E(x90941,f2(a920))+P1(f324(x90942,x90943))+P1(f324(f324(f326(x90944),f801(x90942,x90943,x90941,x90944)),f324(f172(x90944),f169(x90944,x90941,x90943)))) % 194.45/194.27 [9106]E(x91061,f2(a920))+~P1(f324(x91063,x91064))+P1(f324(f324(f326(x91062),f800(x91063,x91064,x91061,x91062)),f324(f172(x91062),f169(x91062,x91061,x91064)))) % 194.45/194.27 [9108]~P23(x91081,x91082,x91083,f242(f928(x91081,a916)),f242(f928(x91082,a916)))+~P1(f324(f61(x91082),x91084))+P1(f324(f61(x91081),f324(f308(x91081,x91082,x91083),x91084))) % 194.45/194.27 [9111]P22(x91112,x91113,x91114,f38(f928(x91112,a916),x91111))+E(x91111,f189(f928(f928(x91112,a916),a916)))+P1(f324(f324(f326(f928(x91112,a916)),f559(x91114,x91113,x91112,x91111)),x91111)) % 194.45/194.27 [9229]~P23(x92293,x92291,x92294,f242(f928(x92293,a916)),f242(f928(x92291,a916)))+P1(f324(f61(x92291),x92292))+~P1(f324(f61(x92293),f324(f308(x92293,x92291,x92294),x92292))) % 194.45/194.27 [9246]P1(f324(f61(x92461),x92462))+~P1(f324(f61(x92464),f324(f307(x92461,x92464,x92463),x92462)))+P1(f324(f324(f326(x92461),f608(x92463,x92464,x92462,x92461)),x92462)) % 194.45/194.27 [9352]~P2(x93522)+E(f324(f324(f64(x93521,x93522,f324(f324(f10(x93522,f928(x93522,x93522),x93521),f103(x93522)),x93523)),f242(x93522)),x93524),f324(f324(f39(x93521,x93522),x93524),x93523))+~P1(f324(f61(x93521),x93524)) % 194.45/194.27 [9353]~P2(x93532)+E(f324(f324(f64(x93531,x93532,f324(f324(f10(x93532,f928(x93532,x93532),x93531),f112(x93532)),x93533)),f189(x93532)),x93534),f324(f324(f40(x93531,x93532),x93534),x93533))+~P1(f324(f61(x93531),x93534)) % 194.45/194.27 [9436]P1(f324(x94361,x94362))+~P1(f324(x94361,f324(f324(f164(x94363),x94364),f728(x94362,x94361,x94364,x94363))))+~P1(f324(f324(f326(x94363),x94362),f324(f172(x94363),x94364))) % 194.45/194.27 [9458]E(x94581,x94582)+~P1(f324(f324(f326(f927(x94583,x94583)),f324(f324(f252(x94583,x94583),x94581),x94582)),f304(x94583,x94584)))+P1(f324(f324(f326(f927(x94583,x94583)),f324(f324(f252(x94583,x94583),x94581),x94582)),f324(f324(f286(x94583,x94583,x94583),x94584),f304(x94583,x94584)))) % 194.45/194.27 [9509]~E(f324(f190(f921(x95091)),x95092),f324(f190(f921(x95091)),x95093))+~P1(f324(f324(f326(f927(f921(x95091),f921(x95091))),f324(f324(f252(f921(x95091),f921(x95091)),x95092),x95093)),f147(x95091,x95094)))+P1(f324(f324(f326(f927(f921(x95091),f921(x95091))),f324(f324(f252(f921(x95091),f921(x95091)),x95092),x95093)),f145(x95091,x95094))) % 194.45/194.27 [9747]P29(x97471,f324(f324(f20(x97471,a916,a916),f324(f324(f10(a916,f928(a916,a916),x97471),a323),f324(f324(f10(a916,a916,x97471),a319),x97472))),f324(a321,x97473)),x97474)+~P1(f324(x97472,x97473))+~P33(x97471,x97472,f324(f324(f151(x97471),x97473),x97474)) % 194.45/194.27 [9914]~P29(x99141,f324(f324(f20(x99141,a916,a916),f324(f324(f10(a916,f928(a916,a916),x99141),a323),f324(f324(f10(a916,a916,x99141),a319),x99142))),f324(a321,x99143)),x99144)+~P1(f324(x99142,x99143))+P33(x99141,x99142,f324(f324(f151(x99141),x99143),x99144)) % 194.45/194.27 [9918]~P33(x99181,x99182,x99184)+~P29(x99181,f324(f324(f20(x99181,a916,a916),f324(f324(f10(a916,f928(a916,a916),x99181),a323),f324(f324(f10(a916,a916,x99181),a319),x99182))),f324(a321,x99183)),x99184)+P33(x99181,x99182,f324(f324(f151(x99181),x99183),x99184)) % 194.45/194.27 [9953]~P65(x99531)+E(f324(f324(f8(a920,x99531),f324(f324(f20(a920,x99531,x99531),f324(f324(f10(x99531,f928(x99531,x99531),a920),f3(x99531)),x99532)),f324(f324(f10(a920,x99531,a920),x99532),f324(f324(f9(a920,a920,a920),f79(a920)),f77(a920))))),f300(a920,x99533,x99534)),f2(x99531))+P1(f324(f324(f234(a920),x99533),x99534)) % 194.45/194.27 [10182]~P35(x101822,x101824)+~P22(x101822,x101821,x101823,f242(f928(x101822,a916)))+P35(x101821,f324(f307(f927(x101822,x101822),f927(x101821,x101821),f258(x101822,x101821,x101822,x101821,x101823,x101823)),x101824)) % 194.45/194.27 [10364]~E(f324(f190(f921(x103641)),x103643),f324(f190(f921(x103641)),x103642))+P1(f324(f324(f326(f927(f921(x103641),f921(x103641))),f324(f324(f252(f921(x103641),f921(x103641)),x103642),x103643)),f158(x103641,x103644)))+~P1(f324(f324(f257(x103641,x103641,a916),f324(f324(f9(x103641,f928(f927(x103641,x103641),a916),f928(x103641,a916)),f324(f324(f10(f928(x103641,f928(f928(f927(x103641,x103641),a916),a916)),f928(f928(f927(x103641,x103641),a916),f928(x103641,a916)),x103641),f9(x103641,f928(f927(x103641,x103641),a916),a916)),f324(f324(f10(f928(x103641,f927(x103641,x103641)),f928(x103641,f928(f928(f927(x103641,x103641),a916),a916)),x103641),f324(f10(f927(x103641,x103641),f928(f928(f927(x103641,x103641),a916),a916),x103641),f326(f927(x103641,x103641)))),f252(x103641,x103641)))),x103644)),f695(x103644,x103643,x103642,x103641))) % 194.45/194.27 [6226]~P67(x62261)+~E(x62262,f2(x62261))+E(f324(f324(f36(x62261),f324(f324(f80(x62261),x62262),x62263)),f324(f324(f80(x62261),x62262),x62264)),f2(x62261)) % 194.45/194.27 [6268]E(x62681,f115(x62682))+E(x62683,f324(f324(f3(a920),f324(f190(f921(x62682)),x62681)),f77(a920)))+E(f144(x62682,f324(f324(f159(x62682,x62681),x62683),x62684)),f144(x62682,x62681)) % 194.45/194.27 [6300]E(x63001,x63002)+P1(f324(x63003,x63002))+~P1(f324(f324(f324(f306(x63004),x63001),x63003),x63002)) % 194.45/194.27 [6316]~P77(x63161)+~P1(f324(f137(x63162),x63164))+E(f324(f165(x63161),f324(f324(f154(x63162,x63161),x63163),x63164)),f324(f324(f8(x63162,x63161),x63163),f324(f172(x63162),x63164))) % 194.45/194.27 [6333]~P81(x63332)+~P1(f324(f61(x63331),x63334))+E(f324(f324(f11(x63331,x63332),f324(f18(x63332,x63331),x63333)),x63334),f324(f324(f244(x63332),x63333),f324(f35(x63331),x63334))) % 194.45/194.27 [6387]~P70(x63872)+E(x63871,f2(x63872))+E(f324(f324(f287(x63872),f324(f324(f80(x63872),x63873),x63871)),f324(f324(f80(x63872),x63874),x63871)),f324(f324(f287(x63872),x63873),x63874)) % 194.45/194.27 [6388]~P70(x63882)+E(x63881,f2(x63882))+E(f324(f324(f287(x63882),f324(f324(f80(x63882),x63881),x63883)),f324(f324(f80(x63882),x63881),x63884)),f324(f324(f287(x63882),x63883),x63884)) % 194.45/194.27 [6389]~P67(x63892)+E(x63891,f2(x63892))+E(f324(f324(f36(x63892),f324(f324(f80(x63892),x63893),x63891)),f324(f324(f80(x63892),x63894),x63891)),f324(f324(f36(x63892),x63893),x63894)) % 194.45/194.27 [6391]~P67(x63912)+E(x63911,f2(x63912))+E(f324(f324(f36(x63912),f324(f324(f80(x63912),x63911),x63913)),f324(f324(f80(x63912),x63911),x63914)),f324(f324(f36(x63912),x63913),x63914)) % 194.45/194.27 [6455]P1(f324(x64551,x64552))+~E(x64553,f324(f324(f79(a920),x64554),x64552))+~P1(f324(x64551,f324(f324(f3(a920),x64553),x64554))) % 194.45/194.27 [6540]P26(x65401,x65402,x65403)+P25(x65401,f651(x65403,x65402,x65401),x65404)+~P1(f324(f324(f326(f919(x65401)),x65404),x65402)) % 194.45/194.27 [6543]~P1(f324(x65432,x65433))+~P1(f324(f160(x65431,x65432),x65434))+P1(f324(f160(x65431,x65432),f324(f324(f151(x65431),x65433),x65434))) % 194.45/194.27 [6584]E(x65841,f115(x65842))+~E(x65843,f324(f324(f3(a920),f324(f190(f921(x65842)),x65841)),f77(a920)))+E(f144(x65842,f324(f324(f159(x65842,x65841),x65843),x65844)),x65844) % 194.45/194.27 [6607]~P107(x66071)+~P1(f324(f324(f234(x66071),x66072),x66074))+P1(f324(f324(f234(x66071),x66072),f324(f324(f112(x66071),x66073),x66074))) % 194.45/194.27 [6608]~P107(x66081)+~P1(f324(f324(f234(x66081),x66082),x66083))+P1(f324(f324(f234(x66081),x66082),f324(f324(f112(x66081),x66083),x66084))) % 194.45/194.27 [6610]~P112(x66101)+~P1(f324(f324(f234(x66101),x66102),x66104))+P1(f324(f324(f234(x66101),x66102),f324(f324(f233(x66101),x66103),x66104))) % 194.45/194.27 [6612]~P112(x66121)+~P1(f324(f324(f234(x66121),x66122),x66123))+P1(f324(f324(f234(x66121),x66122),f324(f324(f233(x66121),x66123),x66124))) % 194.45/194.27 [6613]~P107(x66131)+~P1(f324(f324(f235(x66131),x66132),x66134))+P1(f324(f324(f235(x66131),x66132),f324(f324(f112(x66131),x66133),x66134))) % 194.45/194.27 [6614]~P107(x66141)+~P1(f324(f324(f235(x66141),x66142),x66143))+P1(f324(f324(f235(x66141),x66142),f324(f324(f112(x66141),x66143),x66144))) % 194.45/194.27 [6616]~P112(x66161)+~P1(f324(f324(f235(x66161),x66162),x66164))+P1(f324(f324(f235(x66161),x66162),f324(f324(f233(x66161),x66163),x66164))) % 194.45/194.27 [6618]~P112(x66181)+~P1(f324(f324(f235(x66181),x66182),x66183))+P1(f324(f324(f235(x66181),x66182),f324(f324(f233(x66181),x66183),x66184))) % 194.45/194.27 [6704]~E(f324(f324(f164(x67041),x67042),x67043),x67044)+E(f324(f324(f159(x67041,x67042),x67043),x67044),x67042)+~P1(f324(f324(f235(a920),x67043),f324(f190(f921(x67041)),x67042))) % 194.45/194.27 [6747]P1(f324(x67471,x67472))+~P1(f324(x67473,x67472))+~P1(f324(f324(f234(f928(x67474,a916)),x67473),x67471)) % 194.45/194.27 [6778]~E(f324(f324(f159(x67781,x67782),x67783),x67784),x67782)+E(f324(f324(f164(x67781),x67782),x67783),x67784)+~P1(f324(f324(f235(a920),x67783),f324(f190(f921(x67781)),x67782))) % 194.45/194.27 [6792]~P1(f324(f160(x67921,x67922),x67924))+~P1(f324(f160(x67921,x67922),x67923))+P1(f324(f160(x67921,x67922),f324(f324(f134(x67921),x67923),x67924))) % 194.45/194.27 [6889]P25(x68891,x68892,x68893)+~P25(x68891,f324(a114,x68892),f872(x68892,x68894,x68891))+~P1(f324(f324(f326(f919(x68891)),x68893),x68894)) % 194.45/194.27 [6896]E(x68961,f189(f928(x68962,a916)))+E(x68963,f189(f928(x68964,a916)))+~E(f324(f324(f254(x68964,x68962),x68963),f324(f18(f928(x68962,a916),x68964),x68961)),f189(f928(f927(x68964,x68962),a916))) % 194.45/194.27 [6916]E(x69161,x69162)+P1(f324(f324(f326(x69163),x69161),x69164))+~P1(f324(f324(f326(x69163),x69161),f324(f324(f306(x69163),x69162),x69164))) % 194.45/194.27 [6933]~P112(x69331)+P1(f324(f324(f234(x69331),x69332),x69333))+~P1(f324(f324(f234(x69331),x69332),f324(f324(f188(x69331),x69334),x69333))) % 194.45/194.27 [6935]~P112(x69351)+P1(f324(f324(f234(x69351),x69352),x69353))+~P1(f324(f324(f234(x69351),x69352),f324(f324(f188(x69351),x69353),x69354))) % 194.45/194.27 [6937]~P63(x69371)+P1(f324(f324(f234(x69371),x69372),x69373))+~P1(f324(f324(f234(x69371),x69372),f324(f324(f103(x69371),x69374),x69373))) % 194.45/194.27 [6939]~P63(x69391)+P1(f324(f324(f234(x69391),x69392),x69393))+~P1(f324(f324(f234(x69391),x69392),f324(f324(f103(x69391),x69393),x69394))) % 194.45/194.27 [6940]~P112(x69401)+P1(f324(f324(f235(x69401),x69402),x69403))+~P1(f324(f324(f235(x69401),x69402),f324(f324(f188(x69401),x69404),x69403))) % 194.45/194.27 [6941]~P112(x69411)+P1(f324(f324(f235(x69411),x69412),x69413))+~P1(f324(f324(f235(x69411),x69412),f324(f324(f188(x69411),x69413),x69414))) % 194.45/194.27 [6962]~E(f324(f324(f164(x69621),x69623),x69624),x69622)+P1(f324(f324(f326(x69621),x69622),f324(f172(x69621),x69623)))+~P1(f324(f324(f235(a920),x69624),f324(f190(f921(x69621)),x69623))) % 194.45/194.27 [6972]~P112(x69721)+~P10(x69721,f324(f324(f151(x69721),x69722),f324(f324(f151(x69721),x69723),x69724)))+P1(f324(f324(f234(x69721),x69722),x69723)) % 194.45/194.27 [7115]~P29(x71152,x71151,x71153)+P1(f324(x71151,f324(f324(f164(x71152),x71153),x71154)))+~P1(f324(f324(f235(a920),x71154),f324(f190(f921(x71152)),x71153))) % 194.45/194.27 [7134]E(x71341,f2(a1))+E(f324(f324(f36(a1),x71342),x71341),x71343)+~P1(f324(f49(x71342,x71341),f324(f324(f252(a1,a1),x71343),x71344))) % 194.45/194.27 [7155]E(f45(a1,x71552,x71551),x71553)+E(x71551,f2(a1))+~P1(f324(f49(x71552,x71551),f324(f324(f252(a1,a1),x71554),x71553))) % 194.45/194.27 [7274]P1(f324(f324(f326(x72741),x72742),x72743))+~P1(f324(f324(f326(x72741),x72742),x72744))+~P1(f324(f324(f235(f928(x72741,a916)),x72744),x72743)) % 194.45/194.27 [7275]P1(f324(f324(f326(x72751),x72752),x72753))+~P1(f324(f324(f326(x72751),x72752),x72754))+~P1(f324(f324(f234(f928(x72751,a916)),x72754),x72753)) % 194.45/194.27 [7388]P31(x73881,x73882,x73883)+~P1(f324(x73882,f324(f324(f164(x73881),x73883),x73884)))+~P1(f324(f324(f235(a920),x73884),f324(f190(f921(x73881)),x73883))) % 194.45/194.27 [7506]~P111(x75062)+~P1(f324(f324(f235(f928(x75061,x75062)),x75063),x75064))+P1(f324(f324(f234(f928(x75061,x75062)),x75063),x75064)) % 194.45/194.27 [7595]~P11(x75951,x75952,x75954)+P11(x75951,x75952,f324(f324(f306(f919(x75951)),x75953),x75954))+~P11(x75951,x75952,f324(f324(f306(f919(x75951)),x75953),f189(f928(f919(x75951),a916)))) % 194.45/194.27 [7637]~P1(f324(f324(f326(x76371),x76372),x76374))+P1(f324(f324(f326(x76371),x76372),f37(f928(x76371,a916),x76373)))+~P1(f324(f324(f326(f928(x76371,a916)),x76374),x76373)) % 194.45/194.27 [7647]P25(x76471,x76472,x76473)+P1(f324(f324(f326(f919(x76471)),f872(x76472,x76474,x76471)),x76474))+~P1(f324(f324(f326(f919(x76471)),x76473),x76474)) % 194.45/194.27 [7666]~P93(x76661)+~P1(f324(f324(f234(x76661),x76663),x76664))+P1(f324(f324(f234(x76661),f324(f324(f79(x76661),x76662),x76663)),f324(f324(f79(x76661),x76662),x76664))) % 194.45/194.27 [7667]~P94(x76671)+~P1(f324(f324(f234(x76671),x76673),x76674))+P1(f324(f324(f234(x76671),f324(f324(f79(x76671),x76672),x76673)),f324(f324(f79(x76671),x76672),x76674))) % 194.45/194.27 [7668]~P93(x76681)+~P1(f324(f324(f234(x76681),x76682),x76684))+P1(f324(f324(f234(x76681),f324(f324(f79(x76681),x76682),x76683)),f324(f324(f79(x76681),x76684),x76683))) % 194.45/194.27 [7669]~P94(x76691)+~P1(f324(f324(f234(x76691),x76692),x76694))+P1(f324(f324(f234(x76691),f324(f324(f79(x76691),x76692),x76693)),f324(f324(f79(x76691),x76694),x76693))) % 194.45/194.27 [7670]~P92(x76701)+~P1(f324(f324(f235(x76701),x76703),x76704))+P1(f324(f324(f235(x76701),f324(f324(f79(x76701),x76702),x76703)),f324(f324(f79(x76701),x76702),x76704))) % 194.45/194.27 [7671]~P93(x76711)+~P1(f324(f324(f235(x76711),x76713),x76714))+P1(f324(f324(f235(x76711),f324(f324(f79(x76711),x76712),x76713)),f324(f324(f79(x76711),x76712),x76714))) % 194.45/194.27 [7672]~P92(x76721)+~P1(f324(f324(f235(x76721),x76722),x76724))+P1(f324(f324(f235(x76721),f324(f324(f79(x76721),x76722),x76723)),f324(f324(f79(x76721),x76724),x76723))) % 194.45/194.27 [7673]~P93(x76731)+~P1(f324(f324(f235(x76731),x76732),x76734))+P1(f324(f324(f235(x76731),f324(f324(f79(x76731),x76732),x76733)),f324(f324(f79(x76731),x76734),x76733))) % 194.45/194.27 [7680]~P124(x76801)+~P101(x76801)+E(f324(f324(f3(x76801),f324(f324(f80(x76801),x76802),f324(f105(x76801),x76803))),f324(f324(f80(x76801),x76804),f324(f105(x76801),x76803))),f324(f324(f80(x76801),f324(f324(f3(x76801),x76802),x76804)),f324(f105(x76801),x76803))) % 194.45/194.27 [7681]~P142(x76811)+~P101(x76811)+E(f324(f324(f79(x76811),f324(f324(f80(x76811),x76812),f324(f105(x76811),x76813))),f324(f324(f80(x76811),x76814),f324(f105(x76811),x76813))),f324(f324(f80(x76811),f324(f324(f79(x76811),x76812),x76814)),f324(f105(x76811),x76813))) % 194.45/194.27 [7717]~P77(x77171)+E(f324(f324(f79(x77171),f324(x77172,x77173)),f324(f324(f8(a920,x77171),x77172),f300(a920,f324(a114,x77173),x77174))),f324(f324(f8(a920,x77171),x77172),f300(a920,x77173,x77174)))+~P1(f324(f324(f234(a920),x77173),x77174)) % 194.45/194.27 [7729]~P22(x77292,x77291,x77293,f324(f172(x77292),x77294))+~P1(f324(f137(x77292),x77294))+P1(f324(f137(x77291),f324(f324(f154(x77292,x77291),x77293),x77294))) % 194.45/194.27 [7776]~P1(f324(f324(f234(a920),x77762),x77764))+~P1(f324(f324(f234(a920),x77761),x77763))+P1(f324(f324(f234(a920),f324(f324(f80(a920),x77761),x77762)),f324(f324(f80(a920),x77763),x77764))) % 194.45/194.27 [7777]~P1(f324(f324(f234(a920),x77772),x77774))+~P1(f324(f324(f234(a920),x77771),x77773))+P1(f324(f324(f234(a920),f324(f324(f79(a920),x77771),x77772)),f324(f324(f79(a920),x77773),x77774))) % 194.45/194.27 [7780]~P1(f324(f324(f235(a920),x77802),x77804))+~P1(f324(f324(f235(a920),x77801),x77803))+P1(f324(f324(f235(a920),f324(f324(f79(a920),x77801),x77802)),f324(f324(f79(a920),x77803),x77804))) % 194.45/194.27 [7781]~P1(f324(f324(f234(a1),x77812),x77814))+~P1(f324(f324(f235(a1),x77811),x77813))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x77811),x77812)),f324(f324(f79(a1),x77813),x77814))) % 194.45/194.27 [7829]P1(f324(f324(f326(x78291),x78292),x78293))+~P1(f324(f324(f326(x78291),x78292),f38(f928(x78291,a916),x78294)))+~P1(f324(f324(f326(f928(x78291,a916)),x78293),x78294)) % 194.45/194.27 [7845]~P1(f324(x78451,f690(x78451,x78453,x78452)))+P1(f324(x78451,f324(f324(f164(x78452),x78453),x78454)))+~P1(f324(f324(f235(a920),x78454),f324(f190(f921(x78452)),x78453))) % 194.45/194.27 [7850]P1(f324(x78501,x78502))+~P1(f324(f324(f326(x78504),x78502),f324(f172(x78504),x78503)))+P1(f324(f324(f235(a920),f692(x78501,x78503,x78504)),f324(f190(f921(x78504)),x78503))) % 194.45/194.27 [7897]~P111(x78971)+~P1(f324(f324(f235(f928(x78972,x78971)),x78974),x78973))+~P1(f324(f324(f234(f928(x78972,x78971)),x78973),x78974)) % 194.45/194.27 [7940]~P1(f324(x79404,x79402))+~P1(f324(f324(f326(x79401),x79402),x79403))+P1(f324(f324(f326(x79401),x79402),f324(f324(f103(f928(x79401,a916)),x79403),f324(f262(x79401),x79404)))) % 194.45/194.27 [8093]~P1(f324(f324(f326(x80931),x80933),x80934))+~P1(f324(f324(f235(f928(x80931,a916)),x80932),x80934))+P1(f324(f324(f235(f928(x80931,a916)),x80932),f324(f324(f306(x80931),x80933),x80934))) % 194.45/194.27 [8095]E(f324(f324(f103(f928(x80951,a916)),x80952),x80953),f189(f928(x80951,a916)))+~E(f324(f324(f103(f928(x80951,a916)),f37(f928(x80951,a916),x80954)),x80953),f189(f928(x80951,a916)))+~P1(f324(f324(f326(f928(x80951,a916)),x80952),x80954)) % 194.45/194.27 [8172]P1(f324(f324(f326(x81721),x81722),x81723))+~P1(f324(f324(f234(f928(x81721,a916)),x81723),f324(f324(f306(x81721),x81722),x81724)))+P1(f324(f324(f234(f928(x81721,a916)),x81723),x81724)) % 194.45/194.27 [8189]P1(f324(f324(f326(x81892),f690(x81891,x81893,x81892)),f324(f172(x81892),x81893)))+P1(f324(x81891,f324(f324(f164(x81892),x81893),x81894)))+~P1(f324(f324(f235(a920),x81894),f324(f190(f921(x81892)),x81893))) % 194.45/194.27 [8197]~P1(f324(f324(f234(f928(x81971,a916)),x81972),x81974))+P1(f324(f324(f234(f928(x81971,a916)),x81972),x81973))+~P1(f324(f324(f234(f928(x81971,a916)),x81974),x81973)) % 194.45/194.27 [8198]~P1(f324(f324(f235(f928(x81981,a916)),x81982),x81984))+~P1(f324(f324(f234(f928(x81981,a916)),x81984),x81983))+P1(f324(f324(f235(f928(x81981,a916)),x81982),x81983)) % 194.45/194.27 [8199]~P1(f324(f324(f234(f928(x81991,a916)),x81992),x81994))+~P1(f324(f324(f235(f928(x81991,a916)),x81994),x81993))+P1(f324(f324(f235(f928(x81991,a916)),x81992),x81993)) % 194.45/194.27 [8200]~P1(f324(f324(f235(f928(x82001,a916)),x82002),x82004))+P1(f324(f324(f235(f928(x82001,a916)),x82002),x82003))+~P1(f324(f324(f235(f928(x82001,a916)),x82004),x82003)) % 194.45/194.27 [8245]~P1(f324(f324(f326(x82451),x82454),x82453))+~P1(f324(f324(f235(f928(x82451,a916)),x82452),f324(f324(f306(x82451),x82454),x82453)))+P1(f324(f324(f235(f928(x82451,a916)),x82452),x82453)) % 194.45/194.27 [8257]~P93(x82571)+P1(f324(f324(f234(x82571),x82572),x82573))+~P1(f324(f324(f234(x82571),f324(f324(f79(x82571),x82574),x82572)),f324(f324(f79(x82571),x82574),x82573))) % 194.45/194.27 [8259]~P93(x82591)+P1(f324(f324(f234(x82591),x82592),x82593))+~P1(f324(f324(f234(x82591),f324(f324(f79(x82591),x82592),x82594)),f324(f324(f79(x82591),x82593),x82594))) % 194.45/194.27 [8261]~P93(x82611)+P1(f324(f324(f235(x82611),x82612),x82613))+~P1(f324(f324(f235(x82611),f324(f324(f79(x82611),x82614),x82612)),f324(f324(f79(x82611),x82614),x82613))) % 194.45/194.27 [8263]~P93(x82631)+P1(f324(f324(f235(x82631),x82632),x82633))+~P1(f324(f324(f235(x82631),f324(f324(f79(x82631),x82632),x82634)),f324(f324(f79(x82631),x82633),x82634))) % 194.45/194.27 [8309]P1(f324(x83091,x83092))+~E(f324(f324(f138(x83093),f324(f190(f921(x83093)),f177(x83093,x83091,x83094))),x83094),f115(x83093))+~P1(f324(f324(f326(x83093),x83092),f324(f172(x83093),x83094))) % 194.45/194.27 [8428]P1(f324(x84281,x84282))+~P1(f324(f324(f326(x84283),x84282),f324(f172(x84283),x84284)))+P1(f324(f324(f235(a920),f324(f190(f921(x84283)),f324(f136(x84283,x84281),x84284))),f324(f190(f921(x84283)),x84284))) % 194.45/194.27 [8919]~P1(f324(x89191,f783(x89191,x89193,x89192,x89194)))+P1(f324(x89191,f324(f324(f164(x89192),x89193),x89194)))+~P1(f324(f324(f235(a920),x89194),f324(f190(f921(x89192)),x89193))) % 194.45/194.27 [8944]~P22(x89444,x89443,x89441,f242(f928(x89444,a916)))+E(f324(x89441,f547(x89442,x89441,x89443,x89444)),x89442)+~P1(f324(f324(f326(x89443),x89442),f324(f307(x89444,x89443,x89441),f242(f928(x89444,a916))))) % 194.45/194.27 [9012]E(f177(x90121,x90122,x90123),f324(f324(f175(x90121),x90124),x90123))+P1(f324(f324(f235(a920),f753(x90122,x90123,x90121,x90124)),x90124))+P1(f324(f324(f235(a920),x90124),f324(f190(f921(x90121)),x90123))) % 194.45/194.27 [9015]E(f177(x90151,x90152,x90153),f324(f324(f175(x90151),x90154),x90153))+P1(f324(f324(f235(a920),f753(x90152,x90153,x90151,x90154)),x90154))+P1(f324(x90152,f324(f324(f164(x90151),x90153),x90154))) % 194.45/194.27 [9052]P1(f324(x90521,x90522))+~P1(f324(f324(f326(x90524),x90522),f324(f172(x90524),x90523)))+P1(f324(f324(f235(a920),f728(x90522,x90521,x90523,x90524)),f324(f190(f921(x90524)),x90523))) % 194.45/194.27 [9055]E(f177(x90551,x90552,x90553),f324(f324(f175(x90551),x90554),x90553))+P1(f324(f324(f235(a920),x90554),f324(f190(f921(x90551)),x90553)))+P1(f324(f324(f235(a920),f753(x90552,x90553,x90551,x90554)),f324(f190(f921(x90551)),x90553))) % 194.45/194.27 [9062]E(f177(x90621,x90622,x90623),f324(f324(f175(x90621),x90624),x90623))+P1(f324(x90622,f324(f324(f164(x90621),x90623),x90624)))+P1(f324(f324(f235(a920),f753(x90622,x90623,x90621,x90624)),f324(f190(f921(x90621)),x90623))) % 194.45/194.27 [9087]~P129(x90874)+P1(f324(f324(f326(x90871),f408(x90872,x90873,x90871,x90874)),x90873))+P1(f324(f324(f235(x90874),f2(x90874)),f324(f324(f11(x90871,x90874),x90872),x90873))) % 194.45/194.27 [9088]~P129(x90884)+P1(f324(f324(f326(x90881),f409(x90882,x90883,x90881,x90884)),x90883))+P1(f324(f324(f234(x90884),f2(x90884)),f324(f324(f11(x90881,x90884),x90882),x90883))) % 194.45/194.27 [9113]~P1(f324(f61(x91131),x91134))+P1(f324(f324(f326(x91131),f570(x91132,x91133,x91134,x91131)),x91134))+P1(f324(f61(f927(x91131,x91133)),f324(f324(f254(x91131,x91133),x91134),x91132))) % 194.45/194.27 [9145]P1(f324(f324(f326(x91452),f783(x91451,x91453,x91452,x91454)),f324(f172(x91452),x91453)))+P1(f324(x91451,f324(f324(f164(x91452),x91453),x91454)))+~P1(f324(f324(f235(a920),x91454),f324(f190(f921(x91452)),x91453))) % 194.45/194.27 [9277]P1(f324(f324(f234(a920),x92774),f324(f190(f921(x92772)),f177(x92772,x92773,x92771))))+P1(f324(f324(f235(a920),f754(x92771,x92772,x92773,x92774)),x92774))+~P1(f324(f324(f234(a920),x92774),f324(f190(f921(x92772)),x92771))) % 194.45/194.27 [9440]E(f177(x94401,x94402,x94403),f324(f324(f175(x94401),x94404),x94403))+~P1(f324(x94402,f324(f324(f164(x94401),x94403),f753(x94402,x94403,x94401,x94404))))+P1(f324(f324(f235(a920),x94404),f324(f190(f921(x94401)),x94403))) % 194.45/194.27 [9447]E(f177(x94471,x94472,x94473),f324(f324(f175(x94471),x94474),x94473))+~P1(f324(x94472,f324(f324(f164(x94471),x94473),f753(x94472,x94473,x94471,x94474))))+P1(f324(x94472,f324(f324(f164(x94471),x94473),x94474))) % 194.45/194.27 [9451]~P1(f324(f61(x94511),x94513))+~P1(f324(f61(x94512),f324(x94514,f570(x94514,x94512,x94513,x94511))))+P1(f324(f61(f927(x94511,x94512)),f324(f324(f254(x94511,x94512),x94513),x94514))) % 194.45/194.27 [9460]~P129(x94601)+~P1(f324(f324(f234(x94601),f2(x94601)),f324(x94603,f409(x94603,x94604,x94602,x94601))))+P1(f324(f324(f234(x94601),f2(x94601)),f324(f324(f11(x94602,x94601),x94603),x94604))) % 194.45/194.27 [9461]~P129(x94611)+~P1(f324(f324(f235(x94611),f2(x94611)),f324(x94613,f408(x94613,x94614,x94612,x94611))))+P1(f324(f324(f235(x94611),f2(x94611)),f324(f324(f11(x94612,x94611),x94613),x94614))) % 194.45/194.27 [9469]~E(f324(f190(f921(x94694)),x94692),f324(f190(f921(x94694)),x94693))+P1(f324(f324(f326(f927(f921(x94694),f921(x94694))),f324(f324(f252(f921(x94694),f921(x94694)),x94693),x94692)),f158(x94694,x94691)))+P1(f324(f324(f235(a920),f686(x94691,x94692,x94693,x94694)),f324(f190(f921(x94694)),x94693))) % 194.45/194.27 [9522]~P1(f324(x95223,f324(f324(f164(x95222),x95224),f754(x95224,x95222,x95223,x95221))))+P1(f324(f324(f234(a920),x95221),f324(f190(f921(x95222)),f177(x95222,x95223,x95224))))+~P1(f324(f324(f234(a920),x95221),f324(f190(f921(x95222)),x95224))) % 194.45/194.27 [9603]E(f324(f324(f175(x96031),f691(x96032,x96033,x96034,x96031)),x96033),f324(f324(f175(x96031),f691(x96032,x96033,x96034,x96031)),x96034))+~P1(f324(f324(f326(f927(f921(x96031),f921(x96031))),f324(f324(f252(f921(x96031),f921(x96031)),x96034),x96033)),f147(x96031,x96032)))+P1(f324(f324(f235(a920),f324(f190(f921(x96031)),x96034)),f324(f190(f921(x96031)),x96033))) % 194.45/194.27 [9660]~P1(f324(f324(f235(a920),f2(a920)),x96603))+~P1(f324(f324(f235(a920),x96604),x96601))+P1(f324(f324(f235(a920),f324(f324(f79(a920),f324(f324(f80(a920),x96601),f45(a920,x96602,x96603))),x96604)),f324(f324(f80(a920),x96601),x96603))) % 194.45/194.27 [9853]~P111(x98532)+~P1(f324(f324(f234(x98532),f324(x98533,f357(x98534,x98533,x98531,x98532))),f324(x98534,f357(x98534,x98533,x98531,x98532))))+P1(f324(f324(f234(f928(x98531,x98532)),x98533),x98534)) % 194.45/194.27 [9854]~P111(x98542)+~P1(f324(f324(f234(x98542),f324(x98543,f410(x98541,x98544,x98543,x98542))),f324(x98544,f410(x98541,x98544,x98543,x98542))))+P1(f324(f324(f234(f928(x98541,x98542)),x98543),x98544)) % 194.45/194.27 [9957]~P65(x99571)+E(f324(f324(f8(a920,x99571),f324(f324(f20(a920,x99571,x99571),f324(f324(f10(x99571,f928(x99571,x99571),a920),f3(x99571)),x99572)),f324(f324(f10(a920,x99571,a920),x99572),f324(f324(f9(a920,a920,a920),f79(a920)),f77(a920))))),f300(a920,x99573,x99574)),f324(f324(f3(x99571),f324(x99572,x99573)),f324(x99572,f324(f324(f79(a920),x99574),f77(a920)))))+~P1(f324(f324(f234(a920),x99573),x99574)) % 194.45/194.27 [6966]E(f324(f324(f134(x69661),x69662),x69663),x69664)+~E(x69663,f324(f324(f138(x69661),f324(f190(f921(x69661)),x69662)),x69664))+~E(f324(f324(f175(x69661),f324(f190(f921(x69661)),x69662)),x69664),x69662) % 194.45/194.27 [7021]~P71(x70212)+E(x70211,f2(x70212))+E(f324(f324(f287(x70212),f324(f324(f244(x70212),x70213),x70214)),f324(f324(f244(x70212),x70211),x70214)),f324(f324(f244(x70212),f324(f324(f287(x70212),x70213),x70211)),x70214)) % 194.45/194.27 [7171]~P63(x71711)+~P1(f324(f324(f234(x71711),x71713),x71714))+P1(f324(f324(f234(x71711),f324(f324(f103(x71711),x71712),x71713)),x71714)) % 194.45/194.27 [7172]~P63(x71721)+~P1(f324(f324(f234(x71721),x71722),x71724))+P1(f324(f324(f234(x71721),f324(f324(f103(x71721),x71722),x71723)),x71724)) % 194.45/194.27 [7174]~P112(x71741)+~P1(f324(f324(f234(x71741),x71743),x71744))+P1(f324(f324(f234(x71741),f324(f324(f188(x71741),x71742),x71743)),x71744)) % 194.45/194.27 [7176]~P112(x71761)+~P1(f324(f324(f234(x71761),x71762),x71764))+P1(f324(f324(f234(x71761),f324(f324(f188(x71761),x71762),x71763)),x71764)) % 194.45/194.27 [7177]~P63(x71771)+~P1(f324(f324(f235(x71771),x71773),x71774))+P1(f324(f324(f235(x71771),f324(f324(f103(x71771),x71772),x71773)),x71774)) % 194.45/194.27 [7178]~P63(x71781)+~P1(f324(f324(f235(x71781),x71782),x71784))+P1(f324(f324(f235(x71781),f324(f324(f103(x71781),x71782),x71783)),x71784)) % 194.45/194.27 [7180]~P112(x71801)+~P1(f324(f324(f235(x71801),x71803),x71804))+P1(f324(f324(f235(x71801),f324(f324(f188(x71801),x71802),x71803)),x71804)) % 194.45/194.27 [7182]~P112(x71821)+~P1(f324(f324(f235(x71821),x71822),x71824))+P1(f324(f324(f235(x71821),f324(f324(f188(x71821),x71822),x71823)),x71824)) % 194.45/194.27 [7205]~P1(f324(x72053,x72054))+~P1(f324(x72052,x72054))+P1(f324(f324(f324(f103(f928(x72051,a916)),x72052),x72053),x72054)) % 194.45/194.27 [7329]P11(x73291,x73292,x73293)+~P11(x73291,x73294,x73293)+~P1(f324(f324(f234(f928(f919(x73291),a916)),x73294),x73292)) % 194.45/194.27 [7330]P11(x73301,x73302,x73303)+~P11(x73301,x73302,x73304)+~P1(f324(f324(f234(f928(f919(x73301),a916)),x73303),x73304)) % 194.45/194.27 [7707]~P77(x77071)+E(f324(f324(f79(x77071),f324(x77072,x77073)),f324(f324(f8(a920,x77071),x77072),f324(f299(a920,f324(a114,x77073)),x77074))),f324(f324(f8(a920,x77071),x77072),f324(f299(a920,x77073),x77074)))+~P1(f324(f324(f235(a920),x77073),x77074)) % 194.45/194.27 [7725]E(x77251,x77252)+P1(f324(f324(f172(x77253),x77254),x77252))+~P1(f324(f324(f172(x77253),f324(f324(f151(x77253),x77251),x77254)),x77252)) % 194.45/194.27 [7737]~P112(x77371)+P1(f324(f324(f234(x77371),x77372),x77373))+~P1(f324(f324(f234(x77371),f324(f324(f233(x77371),x77374),x77372)),x77373)) % 194.45/194.27 [7739]~P112(x77391)+P1(f324(f324(f234(x77391),x77392),x77393))+~P1(f324(f324(f234(x77391),f324(f324(f233(x77391),x77392),x77394)),x77393)) % 194.45/194.27 [7741]~P107(x77411)+P1(f324(f324(f234(x77411),x77412),x77413))+~P1(f324(f324(f234(x77411),f324(f324(f112(x77411),x77414),x77412)),x77413)) % 194.45/194.27 [7743]~P107(x77431)+P1(f324(f324(f234(x77431),x77432),x77433))+~P1(f324(f324(f234(x77431),f324(f324(f112(x77431),x77432),x77434)),x77433)) % 194.45/194.27 [7744]~P112(x77441)+P1(f324(f324(f235(x77441),x77442),x77443))+~P1(f324(f324(f235(x77441),f324(f324(f233(x77441),x77444),x77442)),x77443)) % 194.45/194.27 [7745]~P112(x77451)+P1(f324(f324(f235(x77451),x77452),x77453))+~P1(f324(f324(f235(x77451),f324(f324(f233(x77451),x77452),x77454)),x77453)) % 194.45/194.27 [7820]~P1(f324(f324(f326(x78201),x78202),x78204))+P1(f324(f324(f326(x78201),x78202),x78203))+P1(f324(f324(f326(x78201),x78202),f324(f324(f3(f928(x78201,a916)),x78204),x78203))) % 194.45/194.27 [7904]P1(f324(x79041,x79042))+P1(f324(x79043,x79042))+~P1(f324(f324(f324(f112(f928(x79044,a916)),x79043),x79041),x79042)) % 194.45/194.27 [7915]~P1(f324(f324(f326(x79151),x79152),x79154))+~P1(f324(f324(f326(x79151),x79152),x79153))+P1(f324(f324(f326(x79151),x79152),f324(f324(f103(f928(x79151,a916)),x79153),x79154))) % 194.45/194.27 [7969]~P63(x79691)+~P1(f324(f61(x79691),x79694))+E(f324(f324(f64(x79691,x79691,f103(x79691)),x79692),f324(f324(f306(x79691),x79693),x79694)),f324(f324(f103(x79691),x79693),f324(f324(f64(x79691,x79691,f103(x79691)),x79692),x79694))) % 194.45/194.27 [7970]~P107(x79701)+~P1(f324(f61(x79701),x79704))+E(f324(f324(f64(x79701,x79701,f112(x79701)),x79702),f324(f324(f306(x79701),x79703),x79704)),f324(f324(f112(x79701),x79703),f324(f324(f64(x79701,x79701,f112(x79701)),x79702),x79704))) % 194.45/194.27 [7971]~P112(x79711)+~P1(f324(f61(x79711),x79714))+E(f324(f324(f64(x79711,x79711,f188(x79711)),x79712),f324(f324(f306(x79711),x79713),x79714)),f324(f324(f188(x79711),x79713),f324(f324(f64(x79711,x79711,f188(x79711)),x79712),x79714))) % 194.45/194.27 [7972]~P112(x79721)+~P1(f324(f61(x79721),x79724))+E(f324(f324(f64(x79721,x79721,f233(x79721)),x79722),f324(f324(f306(x79721),x79723),x79724)),f324(f324(f233(x79721),x79723),f324(f324(f64(x79721,x79721,f233(x79721)),x79722),x79724))) % 194.45/194.27 [7973]~P124(x79731)+~P101(x79731)+E(f324(f324(f3(x79731),f324(f324(f80(x79731),f324(f105(x79731),x79732)),x79733)),f324(f324(f80(x79731),f324(f105(x79731),x79732)),x79734)),f324(f324(f80(x79731),f324(f105(x79731),x79732)),f324(f324(f3(x79731),x79733),x79734))) % 194.45/194.27 [7974]~P142(x79741)+~P101(x79741)+E(f324(f324(f79(x79741),f324(f324(f80(x79741),f324(f105(x79741),x79742)),x79743)),f324(f324(f80(x79741),f324(f105(x79741),x79742)),x79744)),f324(f324(f80(x79741),f324(f105(x79741),x79742)),f324(f324(f79(x79741),x79743),x79744))) % 194.45/194.27 [8090]E(x80901,x80902)+P1(f324(f324(f326(x80903),x80901),f324(f172(x80903),x80904)))+~P1(f324(f324(f326(x80903),x80901),f324(f172(x80903),f324(f324(f151(x80903),x80902),x80904)))) % 194.45/194.27 [8269]P55(x82691,x82692,x82693)+~P55(x82691,x82692,x82694)+~P1(f324(f324(f234(f928(f927(x82691,x82692),a916)),x82693),x82694)) % 194.45/194.27 [8311]P1(f324(f324(f326(x83111),x83112),x83113))+P1(f324(f324(f326(x83111),x83112),x83114))+~P1(f324(f324(f326(x83111),x83112),f324(f324(f112(f928(x83111,a916)),x83114),x83113))) % 194.45/194.27 [8322]~P53(x83221,x83224,x83223)+~P1(f324(f324(f326(x83221),x83222),x83224))+P1(f324(f324(f326(f927(x83221,x83221)),f324(f324(f252(x83221,x83221),x83222),x83222)),x83223)) % 194.45/194.27 [8334]~P1(f324(f61(x83342),x83344))+~P1(f324(f61(x83341),x83343))+P1(f324(f61(f927(x83341,x83342)),f324(f324(f254(x83341,x83342),x83343),f324(f18(f928(x83342,a916),x83341),x83344)))) % 194.45/194.27 [8335]~P1(f324(f324(f326(x83351),x83352),x83354))+~P1(f324(f324(f234(f928(x83351,a916)),x83353),x83354))+P1(f324(f324(f234(f928(x83351,a916)),f324(f324(f306(x83351),x83352),x83353)),x83354)) % 194.45/194.27 [8342]~P114(x83422)+~P81(x83422)+E(f324(f324(f11(x83421,x83422),f324(f324(f10(a920,x83422,x83421),f102(x83422)),x83423)),x83424),f324(f102(x83422),f324(f324(f11(x83421,a920),x83423),x83424))) % 194.45/194.27 [8343]~P81(x83432)+~P144(x83432)+E(f324(f324(f11(x83431,x83432),f324(f324(f10(a1,x83432,x83431),f104(x83432)),x83433)),x83434),f324(f104(x83432),f324(f324(f11(x83431,a1),x83433),x83434))) % 194.45/194.27 [8367]E(f324(f324(f3(f928(x83671,a916)),x83672),f324(f324(f3(f928(x83671,a916)),x83673),x83674)),x83674)+~P1(f324(f324(f234(f928(x83671,a916)),x83672),x83673))+~P1(f324(f324(f234(f928(x83671,a916)),x83674),x83672)) % 194.45/194.27 [8463]~P1(f324(f61(x84631),x84634))+E(f324(f324(f3(a920),f324(f324(f8(x84631,a920),x84632),x84633)),f324(f324(f8(x84631,a920),x84632),x84634)),f324(f324(f8(x84631,a920),x84632),f324(f324(f3(f928(x84631,a916)),x84633),x84634)))+~P1(f324(f324(f234(f928(x84631,a916)),x84634),x84633)) % 194.45/194.27 [8617]~P5(x86171,x86174,x86173)+~P1(f324(f324(f326(x86171),x86172),x86174))+P1(f324(f324(f326(x86171),x86172),f324(f283(x86171,x86171,x86173),f324(f324(f306(x86171),x86172),f189(f928(x86171,a916)))))) % 194.45/194.27 [8680]~P1(f324(f324(f234(f928(x86801,a916)),x86802),x86803))+~P1(f324(f324(f234(f928(x86801,a916)),x86802),x86804))+P1(f324(f324(f234(f928(x86801,a916)),x86802),f324(f324(f103(f928(x86801,a916)),x86803),x86804))) % 194.45/194.27 [8782]E(x87821,f189(f928(x87822,a916)))+P1(f324(f61(x87823),x87824))+~P1(f324(f61(f927(x87823,x87822)),f324(f324(f254(x87823,x87822),x87824),f324(f18(f928(x87822,a916),x87823),x87821)))) % 194.45/194.27 [8783]E(x87831,f189(f928(x87832,a916)))+P1(f324(f61(x87833),x87834))+~P1(f324(f61(f927(x87832,x87833)),f324(f324(f254(x87832,x87833),x87831),f324(f18(f928(x87833,a916),x87832),x87834)))) % 194.45/194.27 [8855]P1(f324(f324(f326(x88551),x88552),f313(x88551,x88553)))+~P1(f324(f324(f326(x88551),x88554),f313(x88551,x88553)))+~P1(f324(f324(f326(f927(x88551,x88551)),f324(f324(f252(x88551,x88551),x88552),x88554)),x88553)) % 194.45/194.27 [8911]~P35(x89111,x89114)+P1(f324(f324(f326(f927(x89111,x89111)),f324(f324(f252(x89111,x89111),x89113),x89112)),f304(x89111,x89114)))+P35(x89111,f324(f324(f306(f927(x89111,x89111)),f324(f324(f252(x89111,x89111),x89112),x89113)),x89114)) % 194.45/194.27 [8912]~P58(x89121,x89124)+P1(f324(f324(f326(f927(x89121,x89121)),f324(f324(f252(x89121,x89121),x89123),x89122)),f304(x89121,x89124)))+P58(x89121,f324(f324(f306(f927(x89121,x89121)),f324(f324(f252(x89121,x89121),x89122),x89123)),x89124)) % 194.45/194.27 [8995]~E(x89952,x89953)+~P1(f324(f324(f326(x89951),x89952),f324(f172(x89951),x89954)))+P1(f324(f324(f326(f927(x89951,x89951)),f324(f324(f252(x89951,x89951),x89952),x89953)),f324(f172(f927(x89951,x89951)),f324(f324(f181(x89951,x89951),x89954),x89954)))) % 194.45/194.27 [9022]~P38(f928(x90221,a916),f928(x90221,a916),x90223)+~P1(f324(f324(f326(x90221),x90222),f98(f928(x90221,a916),x90223)))+P1(f324(f324(f326(x90221),x90222),f324(x90223,f324(f324(f112(f928(x90221,a916)),x90224),f98(f928(x90221,a916),x90223))))) % 194.45/194.27 [9086]~E(x90863,x90864)+P1(f324(f324(f257(x90861,x90861,a916),a321),x90862))+~P1(f324(f324(f326(f927(x90861,x90861)),x90862),f324(f172(f927(x90861,x90861)),f324(f324(f181(x90861,x90861),x90863),x90864)))) % 194.45/194.27 [9129]P1(f324(f324(f326(f927(f921(x91291),f921(x91291))),f324(f324(f252(f921(x91291),f921(x91291)),x91292),x91293)),f147(x91291,x91294)))+~E(f324(f324(f175(x91291),f324(f190(f921(x91291)),x91292)),x91293),x91292)+~P1(f324(f324(f235(a920),f324(f190(f921(x91291)),x91292)),f324(f190(f921(x91291)),x91293))) % 194.45/194.27 [9132]~P52(x91321,x91324)+~P1(f324(f324(f326(f927(x91321,x91321)),f324(f324(f252(x91321,x91321),x91323),x91322)),x91324))+P1(f324(f324(f326(f927(x91321,x91321)),f324(f324(f252(x91321,x91321),x91322),x91323)),x91324)) % 194.45/194.27 [9227]~P1(f324(f61(x92271),x92274))+P1(f324(f324(f326(x92271),f859(x92272,x92273,x92274,x92271)),x92274))+P1(f324(f61(x92273),f324(f324(f40(x92271,f928(x92273,a916)),x92274),x92272))) % 194.45/194.27 [9228]~P1(f324(f61(x92281),x92284))+P1(f324(f324(f326(x92281),f614(x92282,x92283,x92284,x92281)),x92284))+P1(f324(f61(x92283),f324(f324(f40(x92281,f928(x92283,a916)),x92284),x92282))) % 194.45/194.27 [9322]P1(f324(f324(f326(f927(x93221,x93221)),x93222),f324(f324(f286(x93221,x93221,x93221),x93223),f304(x93221,x93223))))+~P1(f324(f324(f235(a920),f2(a920)),x93224))+~P1(f324(f324(f326(f927(x93221,x93221)),x93222),f324(f324(f183(f927(x93221,x93221),a916),x93224),x93223))) % 194.45/194.27 [9332]~P35(x93321,x93322)+~P1(f324(f324(f326(f927(x93321,x93321)),f324(f324(f252(x93321,x93321),x93324),x93323)),x93322))+~P1(f324(f324(f326(f927(x93321,x93321)),f324(f324(f252(x93321,x93321),x93323),x93324)),x93322)) % 194.45/194.27 [9459]~P1(f324(f61(x94591),x94594))+E(f324(f324(f8(x94591,a920),f324(f324(f10(f928(x94592,a916),a920,x94591),f35(x94592)),x94593)),x94594),f324(f35(f927(x94591,x94592)),f324(f324(f254(x94591,x94592),x94594),x94593)))+P1(f324(f324(f326(x94591),f575(x94593,x94592,x94594,x94591)),x94594)) % 194.45/194.27 [9463]~P1(f324(f137(x94631),x94632))+P1(f324(f137(x94631),f324(f324(f159(x94631,x94632),x94633),x94634)))+P1(f324(f324(f326(x94631),x94634),f324(f324(f3(f928(x94631,a916)),f324(f172(x94631),x94632)),f324(f324(f306(x94631),f324(f324(f164(x94631),x94632),x94633)),f189(f928(x94631,a916)))))) % 194.45/194.27 [9481]~P1(f324(f61(x94812),x94813))+~P1(f324(f61(x94811),f324(x94814,f859(x94814,x94811,x94813,x94812))))+P1(f324(f61(x94811),f324(f324(f40(x94812,f928(x94811,a916)),x94813),x94814))) % 194.45/194.27 [9482]~P1(f324(f61(x94822),x94823))+~P1(f324(f61(x94821),f324(x94824,f614(x94824,x94821,x94823,x94822))))+P1(f324(f61(x94821),f324(f324(f40(x94822,f928(x94821,a916)),x94823),x94824))) % 194.45/194.27 [9560]~P1(f324(f324(f326(f927(x95601,x95601)),x95602),f324(f324(f286(x95601,x95601,x95601),x95604),f304(x95601,x95604))))+P1(f324(f324(f326(f927(x95601,x95601)),x95602),f324(f324(f286(x95601,x95601,x95601),x95603),f304(x95601,x95603))))+~P1(f324(f324(f234(f928(f927(x95601,x95601),a916)),x95604),x95603)) % 194.45/194.27 [9568]E(f324(f324(f175(x95681),f691(x95684,x95683,x95682,x95681)),x95683),f324(f324(f175(x95681),f691(x95684,x95683,x95682,x95681)),x95682))+~P1(f324(f324(f326(f927(f921(x95681),f921(x95681))),f324(f324(f252(f921(x95681),f921(x95681)),x95682),x95683)),f147(x95681,x95684)))+E(f324(f324(f175(x95681),f324(f190(f921(x95681)),x95682)),x95683),x95682) % 194.45/194.27 [9585]~P1(f324(f61(x95851),x95854))+E(f324(f324(f8(x95851,a920),f324(f324(f10(f928(x95852,a916),a920,x95851),f35(x95852)),x95853)),x95854),f324(f35(f927(x95851,x95852)),f324(f324(f254(x95851,x95852),x95854),x95853)))+~P1(f324(f61(x95852),f324(x95853,f575(x95853,x95852,x95854,x95851)))) % 194.45/194.27 [9590]~E(f324(f190(f921(x95901)),x95903),f324(f190(f921(x95901)),x95902))+P1(f324(f324(f326(f927(f921(x95901),f921(x95901))),f324(f324(f252(f921(x95901),f921(x95901)),x95902),x95903)),f158(x95901,x95904)))+P1(f324(f324(f326(f927(x95901,x95901)),f695(x95904,x95903,x95902,x95901)),f324(f172(f927(x95901,x95901)),f324(f324(f181(x95901,x95901),x95902),x95903)))) % 194.45/194.27 [9672]~P1(f324(f324(f326(f927(f921(x96721),f921(x96721))),f324(f324(f252(f921(x96721),f921(x96721)),x96722),x96723)),f147(x96721,x96724)))+E(f324(f324(f175(x96721),f324(f190(f921(x96721)),x96722)),x96723),x96722)+P1(f324(f324(f235(a920),f691(x96724,x96723,x96722,x96721)),f324(f324(f188(a920),f324(f190(f921(x96721)),x96722)),f324(f190(f921(x96721)),x96723)))) % 194.45/194.27 [9696]~P1(f324(f324(f326(f927(f921(x96961),f921(x96961))),f324(f324(f252(f921(x96961),f921(x96961)),x96962),x96963)),f147(x96961,x96964)))+P1(f324(f324(f235(a920),f324(f190(f921(x96961)),x96962)),f324(f190(f921(x96961)),x96963)))+P1(f324(f324(f235(a920),f691(x96964,x96963,x96962,x96961)),f324(f324(f188(a920),f324(f190(f921(x96961)),x96962)),f324(f190(f921(x96961)),x96963)))) % 194.45/194.27 [10103]~P1(f324(f324(f326(f927(f921(x101031),f921(x101031))),f324(f324(f252(f921(x101031),f921(x101031)),x101032),x101033)),f147(x101031,x101034)))+E(f324(f324(f175(x101031),f324(f190(f921(x101031)),x101032)),x101033),x101032)+P1(f324(f324(f326(f927(x101031,x101031)),f324(f324(f252(x101031,x101031),f324(f324(f164(x101031),x101032),f691(x101034,x101033,x101032,x101031))),f324(f324(f164(x101031),x101033),f691(x101034,x101033,x101032,x101031)))),x101034)) % 194.45/194.27 [10104]~P1(f324(f324(f326(f927(f921(x101041),f921(x101041))),f324(f324(f252(f921(x101041),f921(x101041)),x101042),x101043)),f147(x101041,x101044)))+P1(f324(f324(f235(a920),f324(f190(f921(x101041)),x101042)),f324(f190(f921(x101041)),x101043)))+P1(f324(f324(f326(f927(x101041,x101041)),f324(f324(f252(x101041,x101041),f324(f324(f164(x101041),x101042),f691(x101044,x101043,x101042,x101041))),f324(f324(f164(x101041),x101043),f691(x101044,x101043,x101042,x101041)))),x101044)) % 194.45/194.27 [10160]~E(f324(f190(f921(x101601)),x101602),f324(f190(f921(x101601)),x101603))+P1(f324(f324(f326(f927(f921(x101601),f921(x101601))),f324(f324(f252(f921(x101601),f921(x101601)),x101602),x101603)),f158(x101601,x101604)))+~P1(f324(f324(f326(f927(x101601,x101601)),f324(f324(f252(x101601,x101601),f324(f324(f164(x101601),x101602),f686(x101604,x101603,x101602,x101601))),f324(f324(f164(x101601),x101603),f686(x101604,x101603,x101602,x101601)))),x101604)) % 194.45/194.27 [10305]~P77(x103051)+~P1(f324(f61(x103052),x103054))+E(f324(f165(x103051),f324(f324(f154(x103052,x103051),x103053),f89(f921(x103052),f324(f324(f20(f921(x103052),a916,a916),f324(f324(f10(a916,f928(a916,a916),f921(x103052)),a322),f324(f324(f9(f921(x103052),f928(x103052,a916),a916),f324(f324(f10(f928(x103052,a916),f928(f928(x103052,a916),a916),f921(x103052)),a321),f172(x103052))),x103054))),f137(x103052))))),f232(x103052,x103051,x103053,x103054)) % 194.45/194.27 [7552]~P70(x75522)+E(x75521,f2(x75522))+E(f324(f324(f287(x75522),f324(f324(f79(x75522),x75523),f324(f324(f80(x75522),x75524),x75521))),x75521),f324(f324(f79(x75522),x75524),f324(f324(f287(x75522),x75523),x75521))) % 194.45/194.27 [7553]~P67(x75532)+E(x75531,f2(x75532))+E(f324(f324(f36(x75532),f324(f324(f79(x75532),x75533),f324(f324(f80(x75532),x75534),x75531))),x75531),f324(f324(f79(x75532),x75534),f324(f324(f36(x75532),x75533),x75531))) % 194.45/194.27 [7554]~P67(x75542)+E(x75541,f2(x75542))+E(f324(f324(f36(x75542),f324(f324(f79(x75542),x75543),f324(f324(f80(x75542),x75541),x75544))),x75541),f324(f324(f79(x75542),x75544),f324(f324(f36(x75542),x75543),x75541))) % 194.45/194.27 [7784]~P71(x77842)+E(x77841,f2(x77842))+E(f324(f324(f287(x77842),f324(f324(f3(x77842),x77843),f324(f324(f80(x77842),x77841),x77844))),x77841),f324(f324(f3(x77842),f324(f324(f287(x77842),x77843),x77841)),x77844)) % 194.45/194.27 [7785]~P70(x77852)+E(x77851,f2(x77852))+E(f324(f324(f287(x77852),f324(f324(f79(x77852),x77853),f324(f324(f80(x77852),x77854),x77851))),x77851),f324(f324(f79(x77852),f324(f324(f287(x77852),x77853),x77851)),x77854)) % 194.45/194.27 [7786]~P71(x77862)+E(x77861,f2(x77862))+E(f324(f324(f287(x77862),f324(f324(f79(x77862),x77863),f324(f324(f80(x77862),x77861),x77864))),x77861),f324(f324(f79(x77862),f324(f324(f287(x77862),x77863),x77861)),x77864)) % 194.45/194.27 [8495]~P1(f324(f160(x84951,x84953),x84954))+~P1(f324(f160(x84951,x84952),x84954))+P1(f324(f160(x84951,f324(f324(f103(f928(x84951,a916)),x84952),x84953)),x84954)) % 194.45/194.27 [8870]~E(f324(f324(f286(x88701,x88701,x88701),x88702),x88704),f189(f928(f927(x88701,x88701),a916)))+~E(f324(f324(f286(x88701,x88701,x88701),x88702),x88703),f189(f928(f927(x88701,x88701),a916)))+E(f324(f324(f286(x88701,x88701,x88701),x88702),f324(f324(f112(f928(f927(x88701,x88701),a916)),x88703),x88704)),f189(f928(f927(x88701,x88701),a916))) % 194.45/194.27 [8996]~P1(f324(f324(f234(f928(x89961,a916)),x89963),x89964))+~P1(f324(f324(f234(f928(x89961,a916)),x89962),x89964))+P1(f324(f324(f234(f928(x89961,a916)),f324(f324(f112(f928(x89961,a916)),x89962),x89963)),x89964)) % 194.45/194.27 [9387]~P1(f324(f61(x93871),x93874))+~P1(f324(f61(x93871),x93873))+E(f324(f324(f3(a920),f324(f324(f79(a920),f324(f324(f8(x93871,a920),x93872),x93873)),f324(f324(f8(x93871,a920),x93872),x93874))),f324(f324(f8(x93871,a920),x93872),f324(f324(f103(f928(x93871,a916)),x93873),x93874))),f324(f324(f8(x93871,a920),x93872),f324(f324(f112(f928(x93871,a916)),x93873),x93874))) % 194.45/194.27 [9477]~P1(f324(f324(f326(x94771),x94773),x94772))+~P1(f324(f324(f234(f928(x94771,a916)),x94772),f324(f324(f306(x94771),x94773),x94774)))+P1(f324(f324(f234(f928(x94771,a916)),f324(f324(f3(f928(x94771,a916)),x94772),f324(f324(f306(x94771),x94773),f189(f928(x94771,a916))))),x94774)) % 194.45/194.27 [9647]~P1(f324(f324(f326(x96471),x96473),x96472))+P1(f324(f324(f234(f928(x96471,a916)),x96472),f324(f324(f306(x96471),x96473),x96474)))+~P1(f324(f324(f234(f928(x96471,a916)),f324(f324(f3(f928(x96471,a916)),x96472),f324(f324(f306(x96471),x96473),f189(f928(x96471,a916))))),x96474)) % 194.45/194.27 [9736]~P1(f324(f324(f234(a920),x97361),x97363))+~P1(f324(f324(f235(a920),x97362),x97364))+P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),f324(f324(f252(a920,a920),x97361),x97362)),f324(f324(f252(a920,a920),x97363),x97364))),a32)) % 194.45/194.27 [9737]~P1(f324(f324(f234(a920),x97372),x97374))+~P1(f324(f324(f234(a920),x97371),x97373))+P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),f324(f324(f252(a920,a920),x97371),x97372)),f324(f324(f252(a920,a920),x97373),x97374))),a70)) % 194.45/194.27 [10033]~P1(f324(f324(f326(f921(x100331)),x100334),f161(x100331,x100333)))+~P1(f324(f324(f326(f921(x100331)),x100334),f161(x100331,x100332)))+P1(f324(f160(x100331,f324(f324(f103(f928(x100331,a916)),f324(f324(f9(x100331,f928(x100331,a916),a916),f326(x100331)),x100332)),f324(f324(f9(x100331,f928(x100331,a916),a916),f326(x100331)),x100333))),x100334)) % 194.45/194.27 [10126]~P22(x101261,f928(f928(x101261,a916),a916),f324(f324(f9(x101261,f928(f927(x101261,x101261),a916),f928(f928(x101261,a916),a916)),f324(f324(f10(f928(x101261,a916),f928(f928(f927(x101261,x101261),a916),f928(f928(x101261,a916),a916)),x101261),f60(x101261)),f324(f324(f9(x101261,f928(x101261,a916),f928(x101261,a916)),f306(x101261)),f189(f928(x101261,a916))))),x101263),x101262)+~P1(f324(f324(f326(x101261),x101264),x101262))+E(f324(f324(f3(f928(f928(x101261,a916),a916)),f324(f324(f60(x101261),x101262),x101263)),f324(f324(f60(x101261),f324(f324(f306(x101261),x101264),f189(f928(x101261,a916)))),x101263)),f324(f324(f60(x101261),f324(f324(f3(f928(x101261,a916)),x101262),f324(f324(f306(x101261),x101264),f189(f928(x101261,a916))))),x101263)) % 194.45/194.27 [10259]~P53(x102591,x102592,x102594)+~P1(f324(f324(f326(f927(x102591,x102591)),x102593),x102594))+P1(f324(f324(f257(x102591,x102591,a916),f324(f324(f9(x102591,f928(x102591,a916),f928(x102591,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x102591,a916),f928(x102591,a916)),x102591),f10(a916,a916,x102591)),f324(f324(f10(a916,f928(a916,a916),x102591),a322),f324(f324(f9(x102591,f928(x102591,a916),a916),f326(x102591)),x102592)))),f324(f324(f9(x102591,f928(x102591,a916),a916),f326(x102591)),x102592))),x102593)) % 194.45/194.27 [10274]P1(f324(f61(x102741),x102742))+~P1(f324(f61(x102743),f324(f307(x102741,x102743,x102744),x102742)))+~P1(f324(f61(x102741),f324(f262(x102741),f324(f324(f20(x102741,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102741),a322),f324(f324(f9(x102741,f928(x102741,a916),a916),f326(x102741)),x102742))),f324(f324(f9(x102741,x102743,a916),f324(f324(f10(x102743,f928(x102743,a916),x102741),a321),x102744)),f324(x102744,f608(x102744,x102743,x102742,x102741))))))) % 194.45/194.27 [8251]~P71(x82512)+E(x82511,f2(x82512))+E(f324(f324(f287(x82512),f324(f324(f3(x82512),f324(f324(f80(x82512),x82511),x82513)),x82514)),x82511),f324(f324(f3(x82512),x82513),f324(f324(f287(x82512),x82514),x82511))) % 194.45/194.27 [8252]~P71(x82522)+E(x82521,f2(x82522))+E(f324(f324(f287(x82522),f324(f324(f79(x82522),f324(f324(f80(x82522),x82521),x82523)),x82524)),x82521),f324(f324(f79(x82522),x82523),f324(f324(f287(x82522),x82524),x82521))) % 194.45/194.27 [9159]~E(f324(f324(f286(x91591,x91591,x91591),x91593),x91594),f189(f928(f927(x91591,x91591),a916)))+~E(f324(f324(f286(x91591,x91591,x91591),x91592),x91594),f189(f928(f927(x91591,x91591),a916)))+E(f324(f324(f286(x91591,x91591,x91591),f324(f324(f112(f928(f927(x91591,x91591),a916)),x91592),x91593)),x91594),f189(f928(f927(x91591,x91591),a916))) % 194.45/194.27 [9947]~P1(f324(f160(x99471,x99473),x99474))+~P1(f324(f160(x99471,x99472),x99474))+P1(f324(f160(x99471,f324(f324(f20(x99471,a916,a916),f324(f324(f10(a916,f928(a916,a916),x99471),a322),x99472)),x99473)),x99474)) % 194.45/194.27 [10194]P1(f324(x101941,f590(x101942,x101943,x101941,x101944)))+~P1(f324(f61(x101944),f324(f262(x101944),x101941)))+P1(f324(f61(x101943),f324(f262(x101943),f324(f324(f10(f928(x101944,a916),a916,x101943),f86(x101944)),f324(f324(f10(f928(x101944,a916),f928(x101944,a916),x101943),f324(f20(x101944,a916,a916),f324(f324(f10(a916,f928(a916,a916),x101944),a322),x101941))),x101942))))) % 194.45/194.27 [10212]~P1(f324(f61(x102122),f324(f262(x102122),x102123)))+~P1(f324(f61(x102121),f324(f262(x102121),f324(f324(f9(x102121,x102122,a916),x102124),f590(x102124,x102121,x102123,x102122)))))+P1(f324(f61(x102121),f324(f262(x102121),f324(f324(f10(f928(x102122,a916),a916,x102121),f86(x102122)),f324(f324(f10(f928(x102122,a916),f928(x102122,a916),x102121),f324(f20(x102122,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102122),a322),x102123))),x102124))))) % 194.45/194.27 [10285]~P1(f324(f61(x102851),x102854))+P1(f324(f324(f326(x102851),f823(x102852,x102853,x102854,x102851)),x102854))+P1(f324(f61(x102853),f324(f262(x102853),f324(f324(f10(f928(x102851,a916),a916,x102853),f86(x102851)),f324(f324(f10(f928(x102851,a916),f928(x102851,a916),x102853),f324(f20(x102851,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102851),a322),f324(f324(f9(x102851,f928(x102851,a916),a916),f326(x102851)),x102854)))),x102852))))) % 194.45/194.27 [10291]~P1(f324(f61(x102912),x102913))+~P1(f324(f61(x102911),f324(f262(x102911),f324(f324(f9(x102911,x102912,a916),x102914),f823(x102914,x102911,x102913,x102912)))))+P1(f324(f61(x102911),f324(f262(x102911),f324(f324(f10(f928(x102912,a916),a916,x102911),f86(x102912)),f324(f324(f10(f928(x102912,a916),f928(x102912,a916),x102911),f324(f20(x102912,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102912),a322),f324(f324(f9(x102912,f928(x102912,a916),a916),f326(x102912)),x102913)))),x102914))))) % 194.45/194.27 [5164]~E(x51642,x51644)+E(f169(x51641,x51642,x51643),f169(x51641,x51644,x51645))+~E(x51642,f2(a920)) % 194.45/194.27 [5424]E(x54241,x54242)+~E(f169(x54244,x54243,x54241),f169(x54244,x54245,x54242))+E(x54243,f2(a920)) % 194.45/194.27 [5975]~E(x59755,x59752)+P40(f29(x59751,x59753),x59752,x59754,x59755)+P1(f324(x59751,x59752)) % 194.45/194.27 [6542]E(x65421,x65422)+~P40(f29(x65423,x65424),x65421,x65425,x65422)+P1(f324(x65423,x65421)) % 194.45/194.27 [8048]~P40(x80482,x80483,x80484,x80485)+~P40(f29(x80481,x80482),x80485,x80484,x80483)+P40(f29(x80481,x80482),x80483,x80484,x80483) % 194.45/194.27 [9289]E(x92891,x92892)+~P40(f29(x92895,x92893),x92891,x92894,x92892)+P40(x92893,x92891,x92894,f417(x92892,x92894,x92891,x92893,x92895)) % 194.45/194.27 [9291]E(x92911,x92912)+P40(f29(x92913,x92914),f417(x92911,x92915,x92912,x92914,x92913),x92915,x92911)+~P40(f29(x92913,x92914),x92912,x92915,x92911) % 194.45/194.27 [9295]~P40(f29(x92955,x92951),x92952,x92953,x92954)+P40(x92951,x92952,x92953,f417(x92954,x92953,x92952,x92951,x92955))+~P1(f324(x92955,x92952)) % 194.45/194.27 [9302]~P40(f29(x93021,x93022),x93025,x93024,x93023)+P40(f29(x93021,x93022),f417(x93023,x93024,x93025,x93022,x93021),x93024,x93023)+~P1(f324(x93021,x93025)) % 194.45/194.27 [6684]E(x66841,x66842)+~E(f324(x66843,x66841),f324(x66843,x66842))+~P22(x66844,x66845,x66843,f242(f928(x66844,a916))) % 194.45/194.27 [7590]E(x75901,x75902)+~P22(x75903,x75904,x75905,f242(f928(x75903,a916)))+~E(f324(f307(x75903,x75904,x75905),x75901),f324(f307(x75903,x75904,x75905),x75902)) % 194.45/194.27 [7838]P22(x78382,x78383,f550(x78384,x78383,x78382,x78381),x78381)+~E(f324(f307(x78383,x78382,x78385),x78384),x78381)+E(x78381,f189(f928(x78382,a916))) % 194.45/194.27 [8378]~P1(f324(f324(x83783,x83782),x83785))+~P1(f324(f324(x83783,x83784),x83782))+P1(f324(f324(f326(x83781),x83782),f296(x83781,x83783,x83784,x83785))) % 194.45/194.27 [8379]~P1(f324(f324(x83793,x83792),x83795))+~P1(f324(f324(x83793,x83794),x83792))+P1(f324(f324(f326(x83791),x83792),f293(x83791,x83793,x83794,x83795))) % 194.45/194.27 [8688]~P22(x86881,x86882,x86883,x86884)+P23(x86881,x86882,x86883,x86884,x86885)+~E(f324(f307(x86881,x86882,x86883),x86884),x86885) % 194.45/194.27 [8820]~P23(x88201,x88203,x88204,x88202,x88205)+~P1(f324(f61(x88203),x88205))+P1(f324(f61(x88201),x88202)) % 194.45/194.27 [8821]~P23(x88213,x88211,x88214,x88215,x88212)+~P1(f324(f61(x88213),x88215))+P1(f324(f61(x88211),x88212)) % 194.45/194.27 [8953]~P22(x89531,x89533,x89535,f242(f928(x89531,a916)))+~P22(x89533,x89532,x89534,f242(f928(x89533,a916)))+P22(x89531,x89532,f324(f72(x89533,x89532,x89531,x89534),x89535),f242(f928(x89531,a916))) % 194.45/194.27 [9537]P1(f324(f324(f326(f927(x95371,x95371)),f324(f324(f252(x95371,x95371),x95372),x95373)),f304(x95371,x95374)))+~P1(f324(f324(f326(f927(x95371,x95371)),f324(f324(f252(x95371,x95371),x95372),x95375)),f304(x95371,x95374)))+~P1(f324(f324(f326(f927(x95371,x95371)),f324(f324(f252(x95371,x95371),x95375),x95373)),f304(x95371,x95374))) % 194.45/194.27 [9575]~P112(x95752)+~P1(f324(f137(x95751),x95755))+P1(f324(f137(x95751),f149(x95751,x95752,x95753,x95754,x95755))) % 194.45/194.27 [5498]~E(x54982,f115(x54981))+E(f324(f324(f134(x54981),x54982),x54983),f324(f324(f151(x54981),x54984),x54985))+~E(x54983,f324(f324(f151(x54981),x54984),x54985)) % 194.45/194.27 [5499]~E(x54992,f115(x54991))+E(f324(f324(f134(x54991),x54992),x54993),f324(f324(f151(x54991),x54994),x54995))+~E(f324(f324(f151(x54991),x54994),x54995),x54993) % 194.45/194.27 [6641]~E(f324(f190(f921(x66411)),x66415),f324(f190(f921(x66412)),x66414))+E(f324(f324(f154(f927(x66411,x66412),x66412),f256(x66411,x66412)),x66413),x66414)+~E(f324(f324(f181(x66411,x66412),x66415),x66414),x66413) % 194.45/194.27 [6642]~E(f324(f190(f921(x66421)),x66424),f324(f190(f921(x66422)),x66425))+E(f324(f324(f154(f927(x66421,x66422),x66421),f251(x66421,x66422)),x66423),x66424)+~E(f324(f324(f181(x66421,x66422),x66424),x66425),x66423) % 194.45/194.27 [7116]~P112(x71161)+~P10(x71161,f324(f324(f154(x71162,x71161),x71163),x71165))+P10(x71161,f324(f324(f154(x71162,x71161),x71163),f324(f136(x71162,x71164),x71165))) % 194.45/194.27 [7160]~P1(f324(x71603,x71605))+~P1(f324(f324(x71602,x71604),x71605))+P1(f324(f324(f92(x71601,x71602,x71603),x71604),x71605)) % 194.45/194.27 [7258]~P112(x72581)+P10(x72581,f324(f324(f154(x72582,x72581),x72583),f170(x72582,x72584,x72585)))+~P10(x72581,f324(f324(f154(x72582,x72581),x72583),x72585)) % 194.45/194.27 [7281]~P55(x72813,x72812,x72815)+~P55(x72811,x72813,x72814)+P55(x72811,x72812,f324(f324(f286(x72811,x72813,x72812),x72814),x72815)) % 194.45/194.27 [7377]E(x73771,x73772)+~P22(x73773,x73774,x73775,f242(f928(x73773,a916)))+~E(f324(f324(f154(x73773,x73774),x73775),x73771),f324(f324(f154(x73773,x73774),x73775),x73772)) % 194.45/194.27 [7458]P40(x74581,x74582,x74583,x74584)+~P40(x74581,x74582,x74585,x74584)+~P1(f324(f324(f234(a920),x74585),x74583)) % 194.45/194.27 [7538]~P1(f324(f324(f234(a920),x75381),f324(x75383,x75385)))+P1(f324(f324(f234(a920),x75381),f155(x75382,x75383,x75384)))+~P1(f324(f324(f326(x75382),x75385),f324(f172(x75382),x75384))) % 194.45/194.27 [7539]~P1(f324(f324(f235(a920),x75391),f324(x75393,x75395)))+P1(f324(f324(f235(a920),x75391),f155(x75392,x75393,x75394)))+~P1(f324(f324(f326(x75392),x75395),f324(f172(x75392),x75394))) % 194.45/194.27 [7934]P1(f324(x79341,x79342))+~P1(f324(x79341,x79343))+~P1(f324(f324(f326(x79344),x79342),f324(f172(x79344),f169(x79344,x79345,x79343)))) % 194.45/194.27 [7935]P1(f324(x79351,x79352))+~P1(f324(x79351,x79353))+~P1(f324(f324(f326(x79354),x79353),f324(f172(x79354),f169(x79354,x79355,x79352)))) % 194.45/194.27 [7939]~P113(x79391)+P1(f324(f324(f234(f928(x79391,a916)),f300(x79391,x79392,x79393)),f300(x79391,x79394,x79395)))+P1(f324(f324(f234(x79391),x79392),x79393)) % 194.45/194.27 [7967]~P2(x79671)+P1(f324(f324(f234(x79671),f324(f324(f39(x79672,x79671),x79673),x79674)),f324(x79674,x79675)))+~P1(f324(f324(f326(x79672),x79675),x79673)) % 194.45/194.27 [8035]~P22(x80351,x80352,x80354,x80353)+E(f324(f76(x80351,x80352,x80353,x80354),f324(x80354,x80355)),x80355)+~P1(f324(f324(f326(x80351),x80355),x80353)) % 194.45/194.27 [8036]~P22(x80361,x80362,x80364,x80363)+E(f324(f91(x80361,x80362,x80363,x80364),f324(x80364,x80365)),x80365)+~P1(f324(f324(f326(x80361),x80365),x80363)) % 194.45/194.27 [8240]~P1(f324(x82401,x82405))+P1(f324(x82401,f752(x82401,x82402,x82403,x82404)))+~P1(f324(f324(f326(x82404),x82405),x82403)) % 194.45/194.27 [8241]~P1(f324(x82411,x82415))+P1(f324(x82411,f752(x82411,x82412,x82413,x82414)))+~P1(f324(f324(f326(x82414),x82415),x82412)) % 194.45/194.27 [8332]P1(f324(f61(x83321),x83322))+~P1(f324(f61(x83323),x83324))+~P1(f324(f324(f234(f928(x83321,a916)),x83322),f324(f307(x83323,x83321,x83325),x83324))) % 194.45/194.27 [8499]E(x84991,x84992)+~P22(x84993,x84994,x84995,f324(f324(f112(f928(x84993,a916)),f324(f172(x84993),x84991)),f324(f172(x84993),x84992)))+~E(f324(f324(f154(x84993,x84994),x84995),x84991),f324(f324(f154(x84993,x84994),x84995),x84992)) % 194.45/194.27 [8553]~P113(x85531)+~P1(f324(f324(f235(f928(x85531,a916)),f300(x85531,x85534,x85535)),f300(x85531,x85532,x85533)))+P1(f324(f324(f234(x85531),x85532),x85533)) % 194.45/194.27 [8616]~P22(x86161,x86164,x86165,f242(f928(x86161,a916)))+~P1(f324(f324(f326(x86164),f324(x86165,x86162)),f324(f307(x86161,x86164,x86165),x86163)))+P1(f324(f324(f326(x86161),x86162),x86163)) % 194.45/194.27 [8694]P1(f324(x86941,x86942))+~P1(f324(x86941,f694(x86941,x86943,x86944,x86945)))+~P1(f324(f324(f326(x86945),x86942),x86944)) % 194.45/194.27 [8695]P1(f324(x86951,x86952))+~P1(f324(x86951,f694(x86951,x86953,x86954,x86955)))+~P1(f324(f324(f326(x86955),x86952),x86953)) % 194.45/194.27 [8993]~P22(x89932,x89933,x89931,x89934)+E(f324(x89931,f324(f76(x89932,x89933,x89934,x89931),x89935)),x89935)+~P1(f324(f324(f326(x89933),x89935),f324(f307(x89932,x89933,x89931),x89934))) % 194.45/194.27 [9099]E(x90991,f115(x90992))+E(f324(f324(f151(x90992),x90993),f709(x90994,x90993,x90995,x90991,x90992)),x90991)+~E(f324(f324(f134(x90992),x90991),x90995),f324(f324(f151(x90992),x90993),x90994)) % 194.45/194.27 [9100]E(x91001,f115(x91002))+E(f324(f324(f151(x91002),x91003),f711(x91004,x91001,x91005,x91003,x91002)),x91001)+~E(f324(f324(f134(x91002),x91001),x91004),f324(f324(f151(x91002),x91003),x91005)) % 194.45/194.27 [9118]E(f324(f324(f151(x91182),x91183),f709(x91184,x91183,x91181,x91185,x91182)),x91185)+~E(f324(f324(f134(x91182),x91185),x91181),f324(f324(f151(x91182),x91183),x91184))+E(x91181,f324(f324(f151(x91182),x91183),x91184)) % 194.45/194.27 [9119]E(f324(f324(f151(x91191),x91192),f711(x91194,x91195,x91193,x91192,x91191)),x91195)+~E(f324(f324(f134(x91191),x91195),x91194),f324(f324(f151(x91191),x91192),x91193))+E(f324(f324(f151(x91191),x91192),x91193),x91194) % 194.45/194.27 [9198]~E(f324(f307(x91983,x91982,x91984),f242(f928(x91983,a916))),f242(f928(x91982,a916)))+~E(f324(f307(x91981,x91983,x91985),f242(f928(x91981,a916))),f242(f928(x91983,a916)))+E(f324(f307(x91981,x91982,f324(f72(x91983,x91982,x91981,x91984),x91985)),f242(f928(x91981,a916))),f242(f928(x91982,a916))) % 194.45/194.27 [9582]E(x95821,f115(x95822))+~E(f324(f324(f134(x95822),x95821),x95823),f324(f324(f151(x95822),x95825),x95824))+E(f324(f324(f134(x95822),f711(x95823,x95821,x95824,x95825,x95822)),x95823),x95824) % 194.45/194.27 [9583]E(x95831,f115(x95832))+~E(f324(f324(f134(x95832),x95831),x95835),f324(f324(f151(x95832),x95834),x95833))+E(f324(f324(f134(x95832),f709(x95833,x95834,x95835,x95831,x95832)),x95835),x95833) % 194.45/194.27 [9591]E(f324(f324(f134(x95912),f709(x95914,x95913,x95911,x95915,x95912)),x95911),x95914)+~E(f324(f324(f134(x95912),x95915),x95911),f324(f324(f151(x95912),x95913),x95914))+E(x95911,f324(f324(f151(x95912),x95913),x95914)) % 194.45/194.27 [9592]~E(f324(f324(f134(x95921),x95925),x95924),f324(f324(f151(x95921),x95922),x95923))+E(f324(f324(f134(x95921),f711(x95924,x95925,x95923,x95922,x95921)),x95924),x95923)+E(f324(f324(f151(x95921),x95922),x95923),x95924) % 194.45/194.27 [9593]E(f324(f324(f134(x95931),x95935),f713(x95933,x95932,x95934,x95935,x95931)),x95932)+E(f324(f324(f134(x95931),x95932),f712(x95933,x95932,x95934,x95935,x95931)),x95935)+~E(f324(f324(f134(x95931),x95935),x95934),f324(f324(f134(x95931),x95932),x95933)) % 194.45/194.27 [9630]~P112(x96301)+P10(x96301,f324(f324(f154(x96302,x96301),x96303),f149(x96302,x96301,x96303,x96304,x96305)))+~P10(x96301,f324(f324(f154(x96302,x96301),x96303),x96305)) % 194.45/194.27 [9644]~P59(x96445,x96441,x96444,x96443)+P1(f324(f324(x96441,x96442),f561(x96443,x96444,x96441,x96445,x96442)))+~P1(f324(f324(f326(x96445),x96442),x96444)) % 194.45/194.27 [9645]~P59(x96455,x96451,x96454,x96453)+P1(f324(f324(x96451,x96452),f828(x96453,x96454,x96451,x96455,x96452)))+~P1(f324(f324(f326(x96455),x96452),x96454)) % 194.45/194.27 [9748]~P1(f324(f324(f326(f927(x97481,x97481)),f324(f324(f252(x97481,x97481),x97485),x97483)),f304(x97481,x97484)))+P1(f324(f324(f326(f927(x97481,x97481)),f324(f324(f252(x97481,x97481),x97482),x97483)),f324(f324(f286(x97481,x97481,x97481),x97484),f304(x97481,x97484))))+~P1(f324(f324(f326(f927(x97481,x97481)),f324(f324(f252(x97481,x97481),x97482),x97485)),f324(f324(f286(x97481,x97481,x97481),x97484),f304(x97481,x97484)))) % 194.45/194.27 [9749]~P1(f324(f324(f326(f927(x97491,x97491)),f324(f324(f252(x97491,x97491),x97492),x97495)),f304(x97491,x97494)))+P1(f324(f324(f326(f927(x97491,x97491)),f324(f324(f252(x97491,x97491),x97492),x97493)),f324(f324(f286(x97491,x97491,x97491),x97494),f304(x97491,x97494))))+~P1(f324(f324(f326(f927(x97491,x97491)),f324(f324(f252(x97491,x97491),x97495),x97493)),f324(f324(f286(x97491,x97491,x97491),x97494),f304(x97491,x97494)))) % 194.45/194.27 [9751]P1(f324(f324(f326(f927(f921(x97511),f921(x97511))),f324(f324(f252(f921(x97511),f921(x97511)),x97512),x97513)),f158(x97511,f304(x97511,x97514))))+~P1(f324(f324(f326(f927(f921(x97511),f921(x97511))),f324(f324(f252(f921(x97511),f921(x97511)),x97512),x97515)),f158(x97511,f304(x97511,x97514))))+~P1(f324(f324(f326(f927(f921(x97511),f921(x97511))),f324(f324(f252(f921(x97511),f921(x97511)),x97515),x97513)),f158(x97511,f304(x97511,x97514)))) % 194.45/194.27 [9755]E(f324(f324(f134(x97551),x97552),f712(x97553,x97552,x97554,x97555,x97551)),x97555)+E(f324(f324(f134(x97551),f713(x97553,x97552,x97554,x97555,x97551)),x97553),x97554)+~E(f324(f324(f134(x97551),x97552),x97553),f324(f324(f134(x97551),x97555),x97554)) % 194.45/194.27 [9756]E(f324(f324(f134(x97561),x97562),f713(x97563,x97564,x97565,x97562,x97561)),x97564)+E(f324(f324(f134(x97561),f712(x97563,x97564,x97565,x97562,x97561)),x97565),x97563)+~E(f324(f324(f134(x97561),x97562),x97565),f324(f324(f134(x97561),x97564),x97563)) % 194.45/194.27 [9811]P1(f324(f324(f326(f927(x98111,x98111)),f324(f324(f252(x98111,x98111),x98112),x98113)),f324(f324(f286(x98111,x98111,x98111),x98114),f304(x98111,x98114))))+~P1(f324(f324(f326(f927(x98111,x98111)),f324(f324(f252(x98111,x98111),x98112),x98115)),f324(f324(f286(x98111,x98111,x98111),x98114),f304(x98111,x98114))))+~P1(f324(f324(f326(f927(x98111,x98111)),f324(f324(f252(x98111,x98111),x98115),x98113)),f324(f324(f286(x98111,x98111,x98111),x98114),f304(x98111,x98114)))) % 194.45/194.27 [9838]P32(x98381,x98382,x98383,x98384,x98385)+~E(f324(f190(f921(x98381)),x98384),f324(f190(f921(x98382)),x98385))+~P1(f324(f324(f257(x98381,x98382,a916),x98383),f730(x98385,x98384,x98383,x98382,x98381))) % 194.45/194.27 [9839]P32(x98391,x98392,x98393,x98394,x98395)+~E(f324(f190(f921(x98391)),x98394),f324(f190(f921(x98392)),x98395))+~P1(f324(f324(f257(x98391,x98392,a916),x98393),f731(x98393,x98395,x98394,x98392,x98391))) % 194.45/194.27 [9844]E(f324(f324(f134(x98441),f712(x98442,x98443,x98444,x98445,x98441)),x98444),x98442)+~E(f324(f324(f134(x98441),x98443),x98442),f324(f324(f134(x98441),x98445),x98444))+E(f324(f324(f134(x98441),f713(x98442,x98443,x98444,x98445,x98441)),x98442),x98444) % 194.45/194.27 [9860]~P112(x98602)+E(f324(f324(f148(x98601,x98602,x98603),x98604),x98605),f324(f324(f151(x98601),x98604),x98605))+P1(f324(f324(f326(x98601),f775(x98604,x98603,x98605,x98601,x98602)),f324(f172(x98601),x98605))) % 194.45/194.27 [9864]~P59(x98641,x98644,x98643,x98642)+~P1(f324(f324(f326(x98641),x98645),x98643))+P1(f324(f324(f326(x98641),f561(x98642,x98643,x98644,x98641,x98645)),x98642)) % 194.45/194.27 [9865]~P59(x98651,x98654,x98653,x98652)+~P1(f324(f324(f326(x98651),x98655),x98653))+P1(f324(f324(f326(x98651),f828(x98652,x98653,x98654,x98651,x98655)),x98652)) % 194.45/194.27 [9983]~P1(f324(f324(f326(f927(f928(x99831,a916),f928(x99831,a916))),f324(f324(f252(f928(x99831,a916),f928(x99831,a916)),x99834),x99833)),f316(x99831,x99832)))+~P1(f324(f324(f326(x99831),x99835),x99834))+P1(f324(f324(f326(x99831),f639(x99832,x99833,x99834,x99831,x99835)),x99833)) % 194.45/194.27 [9994]~P112(x99942)+E(f324(f324(f148(x99941,x99942,x99943),x99944),x99945),f324(f324(f151(x99941),x99944),x99945))+~P1(f324(f324(f234(x99942),f324(x99943,x99944)),f324(x99943,f775(x99944,x99943,x99945,x99941,x99942)))) % 194.45/194.27 [10041]~P22(x100413,x100414,x100415,f242(f928(x100413,a916)))+P1(f324(x100411,x100412))+~P1(f324(x100411,f324(f91(x100413,x100414,f242(f928(x100413,a916)),x100415),f842(x100412,x100411,x100415,x100414,x100413)))) % 194.45/194.27 [10177]P32(x101771,x101772,x101773,x101774,x101775)+~E(f324(f190(f921(x101771)),x101774),f324(f190(f921(x101772)),x101775))+~P1(f324(f324(x101773,f324(f324(f164(x101771),x101774),f732(x101775,x101774,x101773,x101772,x101771))),f324(f324(f164(x101772),x101775),f732(x101775,x101774,x101773,x101772,x101771)))) % 194.45/194.27 [10178]P32(x101781,x101782,x101783,x101784,x101785)+~E(f324(f190(f921(x101781)),x101784),f324(f190(f921(x101782)),x101785))+~P1(f324(f324(x101783,f324(f324(f164(x101781),x101784),f766(x101783,x101785,x101782,x101784,x101781))),f324(f324(f164(x101782),x101785),f766(x101783,x101785,x101782,x101784,x101781)))) % 194.45/194.27 [6713]~P15(x67132,x67135,x67131)+~P1(f324(f61(x67132),x67134))+E(f324(x67131,f324(f324(f306(x67132),x67133),x67134)),f324(f324(f64(x67132,x67132,x67135),x67133),x67134)) % 194.45/194.27 [6714]~E(x67143,x67144)+~E(x67142,x67145)+E(f324(f324(f306(x67141),x67142),f324(f324(f306(x67141),x67143),f189(f928(x67141,a916)))),f324(f324(f306(x67141),x67144),f324(f324(f306(x67141),x67145),f189(f928(x67141,a916))))) % 194.45/194.27 [6724]P1(f324(x67242,x67245))+E(f177(x67241,x67242,f324(f324(f134(x67241),x67243),x67244)),f177(x67241,x67242,x67243))+~P1(f324(f324(f326(x67241),x67245),f324(f172(x67241),x67243))) % 194.45/194.27 [6764]E(f324(x67641,x67642),f189(f928(x67643,a916)))+~E(f324(f324(f40(x67644,f928(x67643,a916)),x67645),x67641),f189(f928(x67643,a916)))+~P1(f324(f324(f326(x67644),x67642),x67645)) % 194.45/194.27 [6765]E(f324(x67651,x67652),f242(f928(x67653,a916)))+~E(f324(f324(f39(x67654,f928(x67653,a916)),x67655),x67651),f242(f928(x67653,a916)))+~P1(f324(f324(f326(x67654),x67652),x67655)) % 194.45/194.27 [7268]~E(x72682,x72684)+~P147(x72681)+E(f324(f324(f79(x72681),f324(f324(f80(x72681),x72682),x72683)),f324(f324(f80(x72681),x72684),x72685)),f324(f324(f79(x72681),f324(f324(f80(x72681),x72682),x72685)),f324(f324(f80(x72681),x72684),x72683))) % 194.45/194.27 [7328]~P2(x73281)+~P1(f324(f324(f326(x73284),x73283),x73285))+P1(f324(f324(f234(x73281),f324(x73282,x73283)),f324(f324(f40(x73284,x73281),x73285),x73282))) % 194.45/194.27 [7382]~P111(x73821)+P1(f324(f324(f234(x73821),f324(x73822,x73823)),f324(x73824,x73823)))+~P1(f324(f324(f234(f928(x73825,x73821)),x73822),x73824)) % 194.45/194.27 [7507]E(x75071,x75072)+E(x75073,x75071)+~E(f324(f324(f306(x75074),x75071),f324(f324(f306(x75074),x75075),f189(f928(x75074,a916)))),f324(f324(f306(x75074),x75072),f324(f324(f306(x75074),x75073),f189(f928(x75074,a916))))) % 194.45/194.27 [7508]E(x75081,x75082)+E(x75083,x75081)+~E(f324(f324(f306(x75084),x75083),f324(f324(f306(x75084),x75082),f189(f928(x75084,a916)))),f324(f324(f306(x75084),x75085),f324(f324(f306(x75084),x75081),f189(f928(x75084,a916))))) % 194.45/194.27 [7509]E(x75091,x75092)+E(x75091,x75093)+~E(f324(f324(f306(x75094),x75093),f324(f324(f306(x75094),x75092),f189(f928(x75094,a916)))),f324(f324(f306(x75094),x75095),f324(f324(f306(x75094),x75091),f189(f928(x75094,a916))))) % 194.45/194.27 [7510]E(x75101,x75102)+E(x75101,x75103)+~E(f324(f324(f306(x75104),x75101),f324(f324(f306(x75104),x75105),f189(f928(x75104,a916)))),f324(f324(f306(x75104),x75102),f324(f324(f306(x75104),x75103),f189(f928(x75104,a916))))) % 194.45/194.27 [8045]P22(x80451,x80452,x80453,x80454)+~P22(x80451,x80452,x80453,x80455)+~P1(f324(f324(f234(f928(x80451,a916)),x80454),x80455)) % 194.45/194.27 [8075]~E(f324(x80753,x80755),x80754)+~P22(x80751,x80752,x80753,f242(f928(x80751,a916)))+E(f324(f91(x80751,x80752,f242(f928(x80751,a916)),x80753),x80754),x80755) % 194.45/194.27 [8228]E(x82281,x82282)+~E(f324(f307(x82283,x82284,x82285),x82281),f324(f307(x82283,x82284,x82285),x82282))+~P22(x82283,x82284,x82285,f324(f324(f112(f928(x82283,a916)),x82281),x82282)) % 194.45/194.27 [8300]P1(f324(x83002,x83004))+E(f324(f324(f138(x83001),f324(f190(f921(x83001)),f177(x83001,x83002,x83003))),x83003),f324(f324(f151(x83001),x83004),x83005))+~E(f324(f324(f134(x83001),f177(x83001,x83002,x83003)),f324(f324(f151(x83001),x83004),x83005)),x83003) % 194.45/194.27 [8330]~P22(x83301,x83302,x83303,x83305)+~P22(x83301,x83302,x83303,x83304)+P22(x83301,x83302,x83303,f324(f324(f103(f928(x83301,a916)),x83304),x83305)) % 194.45/194.27 [8437]~P77(x84371)+E(f324(f324(f79(x84371),f324(x84372,x84373)),f324(f165(x84371),f324(f324(f154(x84374,x84371),x84372),f170(x84374,x84373,x84375)))),f324(f165(x84371),f324(f324(f154(x84374,x84371),x84372),x84375)))+~P1(f324(f324(f326(x84374),x84373),f324(f172(x84374),x84375))) % 194.45/194.27 [8526]~P112(x85261)+~P10(x85261,f324(f324(f154(x85262,x85261),x85263),x85265))+P10(x85261,f324(f324(f154(x85262,x85261),x85263),f324(f324(f148(x85262,x85261,x85263),x85264),x85265))) % 194.45/194.27 [8612]~P2(x86121)+P1(f324(f324(f234(x86121),f324(f324(f39(x86122,x86121),x86123),x86124)),f324(f324(f39(x86122,x86121),x86125),x86124)))+~P1(f324(f324(f234(f928(x86122,a916)),x86125),x86123)) % 194.45/194.27 [8613]~P2(x86131)+P1(f324(f324(f234(x86131),f324(f324(f40(x86132,x86131),x86133),x86134)),f324(f324(f40(x86132,x86131),x86135),x86134)))+~P1(f324(f324(f234(f928(x86132,a916)),x86133),x86135)) % 194.45/194.27 [8649]~P112(x86493)+P1(f324(f137(x86491),x86492))+~P1(f324(f137(x86491),f324(f324(f148(x86491,x86493,x86494),x86495),x86492))) % 194.45/194.27 [8793]~P112(x87931)+~P1(f324(f324(f326(x87932),x87933),f324(f172(x87932),x87934)))+~P1(f324(f137(x87932),f324(f324(f148(x87932,x87931,x87935),x87933),x87934))) % 194.45/194.27 [8882]~P112(x88821)+P10(x88821,f324(f324(f154(x88822,x88821),x88823),x88824))+~P10(x88821,f324(f324(f154(x88822,x88821),x88823),f324(f324(f148(x88822,x88821,x88823),x88825),x88824))) % 194.45/194.27 [8928]~P22(x89282,x89281,x89284,x89283)+E(f324(f307(x89281,x89282,f91(x89282,x89281,x89283,x89284)),f324(f307(x89282,x89281,x89284),x89285)),x89285)+~P1(f324(f324(f234(f928(x89282,a916)),x89285),x89283)) % 194.45/194.27 [8981]~P112(x89812)+E(f324(f324(f148(x89811,x89812,x89813),x89814),x89815),f149(x89811,x89812,x89813,x89814,x89815))+P1(f324(f324(f326(x89812),f324(x89813,x89814)),f324(f307(x89811,x89812,x89813),f324(f172(x89811),x89815)))) % 194.45/194.27 [9065]~P112(x90652)+E(f149(x90651,x90652,x90653,x90654,x90655),x90655)+~P1(f324(f324(f326(x90652),f324(x90653,x90654)),f324(f307(x90651,x90652,x90653),f324(f172(x90651),x90655)))) % 194.45/194.27 [9079]~P22(x90792,x90791,x90793,x90795)+P1(f324(f324(f235(f928(x90791,a916)),f324(f307(x90792,x90791,x90793),x90794)),f324(f307(x90792,x90791,x90793),x90795)))+~P1(f324(f324(f235(f928(x90792,a916)),x90794),x90795)) % 194.45/194.27 [9239]~P22(x92391,x92392,x92393,f242(f928(x92391,a916)))+~P1(f324(f324(f234(f928(x92392,a916)),x92394),f324(f307(x92391,x92392,x92393),x92395)))+P1(f324(f324(f234(f928(x92391,a916)),f324(f308(x92391,x92392,x92393),x92394)),x92395)) % 194.45/194.27 [9262]~E(f324(f307(x92623,x92621,x92624),f242(f928(x92623,a916))),f242(f928(x92621,a916)))+P1(f324(f324(f234(f928(x92621,a916)),x92622),f324(f307(x92623,x92621,x92624),x92625)))+~P1(f324(f324(f234(f928(x92623,a916)),f324(f308(x92623,x92621,x92624),x92622)),x92625)) % 194.45/194.27 [9380]~P22(x93801,x93804,x93805,f242(f928(x93801,a916)))+~P1(f324(f324(f234(f928(x93804,a916)),f324(f307(x93801,x93804,x93805),x93802)),f324(f307(x93801,x93804,x93805),x93803)))+P1(f324(f324(f234(f928(x93801,a916)),x93802),x93803)) % 194.45/194.27 [9505]~P89(x95051)+~E(f324(x95053,f749(x95053,x95054,x95055,x95052,x95051)),f2(x95051))+E(f324(f165(x95051),f324(f324(f154(x95052,x95051),x95053),f324(f136(x95052,x95054),x95055))),f324(f165(x95051),f324(f324(f154(x95052,x95051),x95053),x95055))) % 194.45/194.27 [9532]~P23(x95321,x95322,x95323,f242(f928(x95321,a916)),f242(f928(x95322,a916)))+~P1(f324(f324(f234(f928(x95322,a916)),x95324),f324(f307(x95321,x95322,x95323),x95325)))+P1(f324(f324(f234(f928(x95321,a916)),f324(f308(x95321,x95322,x95323),x95324)),x95325)) % 194.45/194.27 [9561]~P23(x95613,x95611,x95614,f242(f928(x95613,a916)),f242(f928(x95611,a916)))+P1(f324(f324(f234(f928(x95611,a916)),x95612),f324(f307(x95613,x95611,x95614),x95615)))+~P1(f324(f324(f234(f928(x95613,a916)),f324(f308(x95613,x95611,x95614),x95612)),x95615)) % 194.45/194.27 [9689]~P14(x96891,x96892,x96893)+~P1(f324(f61(x96891),x96895))+P1(f324(f66(x96891,x96892,x96893,x96894,x96895),f324(f324(f64(x96891,x96892,x96893),x96894),x96895))) % 194.45/194.27 [9768]~P23(x97682,x97681,x97684,f242(f928(x97682,a916)),f242(f928(x97681,a916)))+~P23(x97681,x97683,x97685,f242(f928(x97681,a916)),f242(f928(x97683,a916)))+E(f324(f72(x97681,x97682,x97683,f91(x97682,x97681,f242(f928(x97682,a916)),x97684)),f91(x97681,x97683,f242(f928(x97681,a916)),x97685)),f91(x97682,x97683,f242(f928(x97682,a916)),f324(f72(x97681,x97683,x97682,x97685),x97684))) % 194.45/194.27 [9769]P1(f324(x97691,f675(x97692,x97691,x97693,x97694,x97695)))+~P1(f324(f324(f234(f928(x97695,a916)),x97694),x97693))+P1(f324(f324(f234(f928(x97695,a916)),f324(f324(f103(f928(x97695,a916)),x97694),f324(f262(x97695),x97691))),f324(f324(f103(f928(x97695,a916)),x97693),f324(f262(x97695),x97692)))) % 194.45/194.27 [9784]~P89(x97841)+~P1(f324(x97844,f749(x97843,x97844,x97845,x97842,x97841)))+E(f324(f165(x97841),f324(f324(f154(x97842,x97841),x97843),f324(f136(x97842,x97844),x97845))),f324(f165(x97841),f324(f324(f154(x97842,x97841),x97843),x97845))) % 194.45/194.27 [9862]~P2(x98625)+P1(f324(f324(f326(x98621),f424(x98622,x98623,x98621,x98624,x98625)),x98623))+P1(f324(f324(f234(x98625),x98624),f324(f324(f39(x98621,x98625),x98623),x98622))) % 194.45/194.27 [9866]~P89(x98661)+E(f324(f165(x98661),f324(f324(f154(x98662,x98661),x98663),f324(f136(x98662,x98664),x98665))),f324(f165(x98661),f324(f324(f154(x98662,x98661),x98663),x98665)))+P1(f324(f324(f326(x98662),f749(x98663,x98664,x98665,x98662,x98661)),f324(f172(x98662),x98665))) % 194.45/194.27 [9876]~P1(f324(x98765,f675(x98765,x98763,x98764,x98762,x98761)))+~P1(f324(f324(f234(f928(x98761,a916)),x98762),x98764))+P1(f324(f324(f234(f928(x98761,a916)),f324(f324(f103(f928(x98761,a916)),x98762),f324(f262(x98761),x98763))),f324(f324(f103(f928(x98761,a916)),x98764),f324(f262(x98761),x98765)))) % 194.45/194.27 [9892]~P22(x98925,x98923,x98924,f242(f928(x98925,a916)))+P1(f324(x98921,x98922))+P1(f324(f324(f326(x98923),f842(x98922,x98921,x98924,x98923,x98925)),f324(f307(x98925,x98923,x98924),f242(f928(x98925,a916))))) % 194.45/194.27 [9915]P32(x99151,x99152,x99153,x99154,x99155)+~E(f324(f190(f921(x99152)),x99155),f324(f190(f921(x99151)),x99154))+P1(f324(f324(f235(a920),f732(x99155,x99154,x99153,x99152,x99151)),f324(f190(f921(x99151)),x99154))) % 194.45/194.27 [9916]P32(x99161,x99162,x99163,x99164,x99165)+~E(f324(f190(f921(x99162)),x99165),f324(f190(f921(x99161)),x99164))+P1(f324(f324(f235(a920),f766(x99163,x99165,x99162,x99164,x99161)),f324(f190(f921(x99161)),x99164))) % 194.45/194.27 [9949]P1(f324(f324(f326(x99491),f675(x99492,x99493,x99494,x99495,x99491)),x99495))+~P1(f324(f324(f234(f928(x99491,a916)),x99495),x99494))+P1(f324(f324(f234(f928(x99491,a916)),f324(f324(f103(f928(x99491,a916)),x99495),f324(f262(x99491),x99493))),f324(f324(f103(f928(x99491,a916)),x99494),f324(f262(x99491),x99492)))) % 194.45/194.27 [9995]~P2(x99951)+~P1(f324(f324(f234(x99951),x99952),f324(x99955,f424(x99955,x99954,x99953,x99952,x99951))))+P1(f324(f324(f234(x99951),x99952),f324(f324(f39(x99953,x99951),x99954),x99955))) % 194.45/194.27 [10031]~P81(x100311)+~P1(f324(f61(x100312),x100315))+E(f324(f324(f324(f65(x100311,x100312,f80(x100311)),f324(f324(f20(x100312,x100311,x100311),f324(f324(f10(x100311,f928(x100311,x100311),x100312),f80(x100311)),x100313)),x100314)),f77(x100311)),x100315),f324(f324(f80(x100311),f324(f324(f324(f65(x100311,x100312,f80(x100311)),x100313),f77(x100311)),x100315)),f324(f324(f324(f65(x100311,x100312,f80(x100311)),x100314),f77(x100311)),x100315))) % 194.45/194.27 [10085]~P1(f324(f324(f326(f927(f928(x100851,a916),f928(x100851,a916))),f324(f324(f252(f928(x100851,a916),f928(x100851,a916)),x100855),x100854)),f316(x100851,x100853)))+~P1(f324(f324(f326(x100851),x100852),x100855))+P1(f324(f324(f326(f927(x100851,x100851)),f324(f324(f252(x100851,x100851),x100852),f639(x100853,x100854,x100855,x100851,x100852))),x100853)) % 194.45/194.27 [10209]~P1(f324(f324(f326(f927(f921(x102091),f921(x102091))),f324(f324(f252(f921(x102091),f921(x102091)),f324(f324(f134(x102091),x102095),x102092)),f324(f324(f134(x102091),x102095),x102093))),f147(x102091,x102094)))+P1(f324(f324(f326(f927(f921(x102091),f921(x102091))),f324(f324(f252(f921(x102091),f921(x102091)),x102092),x102093)),f147(x102091,x102094)))+P1(f324(f324(f326(f927(x102091,x102091)),f324(f324(f252(x102091,x102091),f718(x102094,x102093,x102092,x102095,x102091)),f718(x102094,x102093,x102092,x102095,x102091))),x102094)) % 194.45/194.27 [7385]~E(x73853,x73855)+E(f324(f324(f164(x73851),f324(f324(f159(x73851,x73852),x73853),x73854)),x73855),x73854)+~P1(f324(f324(f235(a920),x73853),f324(f190(f921(x73851)),x73852))) % 194.45/194.27 [7504]~E(f324(f324(f134(x75041),x75042),x75044),f324(f324(f134(x75041),x75043),x75045))+E(f324(f324(f175(x75041),f324(f190(f921(x75041)),x75042)),x75043),x75042)+P1(f324(f324(f234(a920),f324(f190(f921(x75041)),x75043)),f324(f190(f921(x75041)),x75042))) % 194.45/194.27 [8006]~E(f324(f324(f134(x80061),x80062),x80064),f324(f324(f134(x80061),x80063),x80065))+E(f324(f324(f175(x80061),f324(f190(f921(x80061)),x80062)),x80063),x80062)+~P1(f324(f324(f234(a920),f324(f190(f921(x80061)),x80062)),f324(f190(f921(x80061)),x80063))) % 194.45/194.27 [8030]~P1(f324(f61(x80301),f324(x80304,x80305)))+~P1(f324(f324(f326(x80302),x80305),x80303))+P1(f324(f61(x80301),f324(f324(f39(x80302,f928(x80301,a916)),x80303),x80304))) % 194.45/194.27 [8211]~P53(x82111,x82113,x82115)+~P53(x82111,x82112,x82114)+P53(x82111,f324(f324(f103(f928(x82111,a916)),x82112),x82113),f324(f324(f103(f928(f927(x82111,x82111),a916)),x82114),x82115)) % 194.45/194.27 [8212]~P53(x82121,x82123,x82125)+~P53(x82121,x82122,x82124)+P53(x82121,f324(f324(f112(f928(x82121,a916)),x82122),x82123),f324(f324(f112(f928(f927(x82121,x82121),a916)),x82124),x82125)) % 194.45/194.27 [8565]E(f324(f324(f252(x85651,x85652),f324(f324(f164(x85651),x85653),x85654)),f324(f324(f164(x85652),x85655),x85654)),f324(f324(f164(f927(x85651,x85652)),f324(f324(f181(x85651,x85652),x85653),x85655)),x85654))+~P1(f324(f324(f235(a920),x85654),f324(f190(f921(x85651)),x85653)))+~P1(f324(f324(f235(a920),x85654),f324(f190(f921(x85652)),x85655))) % 194.45/194.27 [8722]~P53(x87221,x87223,x87224)+P1(f324(f324(f326(x87221),x87222),x87223))+~P1(f324(f324(f326(f927(x87221,x87221)),f324(f324(f252(x87221,x87221),x87225),x87222)),x87224)) % 194.45/194.27 [8723]~P53(x87231,x87233,x87234)+P1(f324(f324(f326(x87231),x87232),x87233))+~P1(f324(f324(f326(f927(x87231,x87231)),f324(f324(f252(x87231,x87231),x87232),x87235)),x87234)) % 194.45/194.27 [8724]~P5(x87241,x87243,x87244)+P1(f324(f324(f326(x87241),x87242),x87243))+~P1(f324(f324(f326(f927(x87241,x87241)),f324(f324(f252(x87241,x87241),x87245),x87242)),x87244)) % 194.45/194.27 [8725]~P5(x87251,x87253,x87254)+P1(f324(f324(f326(x87251),x87252),x87253))+~P1(f324(f324(f326(f927(x87251,x87251)),f324(f324(f252(x87251,x87251),x87252),x87255)),x87254)) % 194.45/194.27 [9005]~P5(x90051,x90055,x90052)+E(f324(f283(x90051,x90051,x90052),f324(f324(f306(x90051),x90053),f189(f928(x90051,a916)))),f324(f283(x90051,x90051,x90052),f324(f324(f306(x90051),x90054),f189(f928(x90051,a916)))))+~P1(f324(f324(f326(f927(x90051,x90051)),f324(f324(f252(x90051,x90051),x90053),x90054)),x90052)) % 194.45/194.27 [9195]P1(f324(x91951,x91952))+~P1(f324(f324(f326(x91953),x91952),x91955))+P1(f324(f324(f326(x91953),f694(x91951,x91954,x91955,x91953)),f324(f324(f112(f928(x91953,a916)),x91955),x91954))) % 194.45/194.27 [9196]P1(f324(x91961,x91962))+~P1(f324(f324(f326(x91963),x91962),x91964))+P1(f324(f324(f326(x91963),f694(x91961,x91964,x91965,x91963)),f324(f324(f112(f928(x91963,a916)),x91965),x91964))) % 194.45/194.27 [9204]~P1(f324(x92042,x92045))+~P1(f324(f324(f326(x92041),x92045),x92044))+P1(f324(f324(f326(x92041),f752(x92042,x92043,x92044,x92041)),f324(f324(f112(f928(x92041,a916)),x92044),x92043))) % 194.45/194.27 [9205]~P1(f324(x92052,x92055))+~P1(f324(f324(f326(x92051),x92055),x92053))+P1(f324(f324(f326(x92051),f752(x92052,x92053,x92054,x92051)),f324(f324(f112(f928(x92051,a916)),x92054),x92053))) % 194.45/194.27 [9220]~P1(f324(f324(f234(f928(x92201,a916)),x92205),x92203))+~P1(f324(f324(f234(f928(x92201,a916)),x92202),x92204))+P1(f324(f324(f234(f928(x92201,a916)),f324(f324(f3(f928(x92201,a916)),x92202),x92203)),f324(f324(f3(f928(x92201,a916)),x92204),x92205))) % 194.45/194.27 [9221]~P1(f324(f324(f234(f928(x92211,a916)),x92213),x92215))+~P1(f324(f324(f234(f928(x92211,a916)),x92212),x92214))+P1(f324(f324(f234(f928(x92211,a916)),f324(f324(f103(f928(x92211,a916)),x92212),x92213)),f324(f324(f103(f928(x92211,a916)),x92214),x92215))) % 194.45/194.27 [9222]~P1(f324(f324(f234(f928(x92221,a916)),x92223),x92225))+~P1(f324(f324(f234(f928(x92221,a916)),x92222),x92224))+P1(f324(f324(f234(f928(x92221,a916)),f324(f324(f112(f928(x92221,a916)),x92222),x92223)),f324(f324(f112(f928(x92221,a916)),x92224),x92225))) % 194.45/194.27 [9325]P1(f324(f324(f326(f927(x93251,x93251)),f324(f324(f252(x93251,x93251),x93252),x93253)),f318(x93251,x93254,x93255)))+~P1(f324(f324(f234(a920),f324(x93254,x93252)),f324(x93254,x93253)))+~P1(f324(f324(f326(f927(x93251,x93251)),f324(f324(f252(x93251,x93251),x93252),x93253)),x93255)) % 194.45/194.27 [9515]P1(f324(f324(f326(f927(x95151,x95151)),f324(f324(f252(x95151,x95151),x95152),x95153)),f304(x95151,x95154)))+~P1(f324(f324(f326(f927(x95151,x95151)),f324(f324(f252(x95151,x95151),x95152),x95155)),f304(x95151,x95154)))+~P1(f324(f324(f326(f927(x95151,x95151)),f324(f324(f252(x95151,x95151),x95155),x95153)),x95154)) % 194.45/194.27 [9516]P1(f324(f324(f326(f927(x95161,x95161)),f324(f324(f252(x95161,x95161),x95162),x95163)),f304(x95161,x95164)))+~P1(f324(f324(f326(f927(x95161,x95161)),f324(f324(f252(x95161,x95161),x95165),x95163)),f304(x95161,x95164)))+~P1(f324(f324(f326(f927(x95161,x95161)),f324(f324(f252(x95161,x95161),x95162),x95165)),x95164)) % 194.45/194.27 [9616]E(x96161,x96162)+E(f324(a114,f656(x96163,x96164,x96161,x96162,x96165)),x96164)+~P1(f324(f324(f326(f927(x96165,x96165)),f324(f324(f252(x96165,x96165),x96162),x96161)),f324(f324(f183(f927(x96165,x96165),a916),x96164),x96163))) % 194.45/194.27 [9617]E(x96171,x96172)+E(f324(a114,f658(x96173,x96174,x96171,x96172,x96175)),x96174)+~P1(f324(f324(f326(f927(x96175,x96175)),f324(f324(f252(x96175,x96175),x96172),x96171)),f324(f324(f183(f927(x96175,x96175),a916),x96174),x96173))) % 194.45/194.27 [9618]E(x96181,f2(a920))+E(f324(a114,f656(x96182,x96181,x96183,x96184,x96185)),x96181)+~P1(f324(f324(f326(f927(x96185,x96185)),f324(f324(f252(x96185,x96185),x96184),x96183)),f324(f324(f183(f927(x96185,x96185),a916),x96181),x96182))) % 194.45/194.27 [9619]E(x96191,f2(a920))+E(f324(a114,f658(x96192,x96191,x96193,x96194,x96195)),x96191)+~P1(f324(f324(f326(f927(x96195,x96195)),f324(f324(f252(x96195,x96195),x96194),x96193)),f324(f324(f183(f927(x96195,x96195),a916),x96191),x96192))) % 194.45/194.27 [9641]P1(f324(f324(f326(f927(x96411,x96411)),f324(f324(f252(x96411,x96411),x96412),x96413)),f324(f324(f286(x96411,x96411,x96411),x96414),f304(x96411,x96414))))+~P1(f324(f324(f326(f927(x96411,x96411)),f324(f324(f252(x96411,x96411),x96412),x96415)),x96414))+~P1(f324(f324(f326(f927(x96411,x96411)),f324(f324(f252(x96411,x96411),x96415),x96413)),x96414)) % 194.45/194.27 [9648]~P1(f324(f324(f326(f927(x96481,x96481)),f324(f324(f252(x96481,x96481),x96482),x96485)),f304(x96481,x96484)))+P1(f324(f324(f326(f927(x96481,x96481)),f324(f324(f252(x96481,x96481),x96482),x96483)),f324(f324(f286(x96481,x96481,x96481),x96484),f304(x96481,x96484))))+~P1(f324(f324(f326(f927(x96481,x96481)),f324(f324(f252(x96481,x96481),x96485),x96483)),x96484)) % 194.45/194.27 [9683]~P5(x96831,x96835,x96832)+~P1(f324(f324(f326(f927(x96831,x96831)),f324(f324(f252(x96831,x96831),x96833),x96834)),x96832))+P1(f324(f324(f234(f928(x96831,a916)),f324(f283(x96831,x96831,x96832),f324(f324(f306(x96831),x96833),f189(f928(x96831,a916))))),f324(f283(x96831,x96831,x96832),f324(f324(f306(x96831),x96834),f189(f928(x96831,a916)))))) % 194.45/194.27 [9741]P1(f324(f324(f326(f927(x97411,x97411)),f324(f324(f252(x97411,x97411),x97412),x97413)),f324(f324(f286(x97411,x97411,x97411),x97414),f304(x97411,x97414))))+~P1(f324(f324(f326(f927(x97411,x97411)),f324(f324(f252(x97411,x97411),x97412),x97415)),f324(f324(f286(x97411,x97411,x97411),x97414),f304(x97411,x97414))))+~P1(f324(f324(f326(f927(x97411,x97411)),f324(f324(f252(x97411,x97411),x97415),x97413)),x97414)) % 194.45/194.27 [9742]P1(f324(f324(f326(f927(x97421,x97421)),f324(f324(f252(x97421,x97421),x97422),x97423)),f324(f324(f286(x97421,x97421,x97421),x97424),f304(x97421,x97424))))+~P1(f324(f324(f326(f927(x97421,x97421)),f324(f324(f252(x97421,x97421),x97425),x97423)),f324(f324(f286(x97421,x97421,x97421),x97424),f304(x97421,x97424))))+~P1(f324(f324(f326(f927(x97421,x97421)),f324(f324(f252(x97421,x97421),x97422),x97425)),x97424)) % 194.45/194.27 [9793]~P1(f324(f66(x97931,x97931,x97934,x97932,x97933),x97935))+P1(f324(f324(f326(x97931),x97932),x97933))+P1(f324(f62(x97931,x97934,f324(f324(f306(x97931),x97932),x97933)),x97935)) % 194.45/194.27 [9831]~E(f324(f307(x98313,x98312,x98315),x98314),x98311)+E(x98311,f189(f928(x98312,a916)))+P1(f324(f324(f234(f928(x98313,a916)),f324(f307(x98312,x98313,f550(x98314,x98313,x98312,x98311)),x98311)),x98314)) % 194.45/194.27 [9879]~P2(x98795)+P1(f324(f324(f326(x98791),f425(x98792,x98793,x98794,x98791,x98795)),x98794))+P1(f324(f324(f234(x98795),f324(f324(f40(x98791,x98795),x98794),x98793)),x98792)) % 194.45/194.27 [9935]P32(x99351,x99352,x99353,x99354,x99355)+~E(f324(f190(f921(x99351)),x99354),f324(f190(f921(x99352)),x99355))+P1(f324(f324(f326(f927(x99351,x99352)),f730(x99355,x99354,x99353,x99352,x99351)),f324(f172(f927(x99351,x99352)),f324(f324(f181(x99351,x99352),x99354),x99355)))) % 194.45/194.27 [9936]P32(x99361,x99362,x99363,x99364,x99365)+~E(f324(f190(f921(x99361)),x99364),f324(f190(f921(x99362)),x99365))+P1(f324(f324(f326(f927(x99361,x99362)),f731(x99363,x99365,x99364,x99362,x99361)),f324(f172(f927(x99361,x99362)),f324(f324(f181(x99361,x99362),x99364),x99365)))) % 194.45/194.27 [10064]E(x100641,x100642)+P1(f324(f324(f326(f927(x100643,x100643)),f324(f324(f252(x100643,x100643),x100641),f659(x100644,x100645,x100642,x100641,x100643))),x100644))+~P1(f324(f324(f326(f927(x100643,x100643)),f324(f324(f252(x100643,x100643),x100641),x100642)),f324(f324(f183(f927(x100643,x100643),a916),x100645),x100644))) % 194.45/194.27 [10065]E(x100651,f2(a920))+P1(f324(f324(f326(f927(x100652,x100652)),f324(f324(f252(x100652,x100652),x100653),f659(x100654,x100651,x100655,x100653,x100652))),x100654))+~P1(f324(f324(f326(f927(x100652,x100652)),f324(f324(f252(x100652,x100652),x100653),x100655)),f324(f324(f183(f927(x100652,x100652),a916),x100651),x100654))) % 194.45/194.27 [10106]~P2(x101061)+~P1(f324(f324(f234(x101061),f324(x101064,f425(x101065,x101064,x101063,x101062,x101061))),x101065))+P1(f324(f324(f234(x101061),f324(f324(f40(x101062,x101061),x101063),x101064)),x101065)) % 194.45/194.27 [10147]E(x101471,x101472)+P1(f324(f324(f326(f927(x101473,x101473)),f324(f324(f252(x101473,x101473),f657(x101474,x101475,x101471,x101472,x101473)),x101471)),x101474))+~P1(f324(f324(f326(f927(x101473,x101473)),f324(f324(f252(x101473,x101473),x101472),x101471)),f324(f324(f183(f927(x101473,x101473),a916),x101475),x101474))) % 194.45/194.27 [10148]E(x101481,f2(a920))+P1(f324(f324(f326(f927(x101482,x101482)),f324(f324(f252(x101482,x101482),f657(x101483,x101481,x101484,x101485,x101482)),x101484)),x101483))+~P1(f324(f324(f326(f927(x101482,x101482)),f324(f324(f252(x101482,x101482),x101485),x101484)),f324(f324(f183(f927(x101482,x101482),a916),x101481),x101483))) % 194.45/194.27 [10152]E(x101521,x101522)+P1(f324(f324(f326(f927(x101523,x101523)),f324(f324(f252(x101523,x101523),x101521),f657(x101524,x101525,x101522,x101521,x101523))),f324(f324(f183(f927(x101523,x101523),a916),f656(x101524,x101525,x101522,x101521,x101523)),x101524)))+~P1(f324(f324(f326(f927(x101523,x101523)),f324(f324(f252(x101523,x101523),x101521),x101522)),f324(f324(f183(f927(x101523,x101523),a916),x101525),x101524))) % 194.45/194.27 [10153]E(x101531,f2(a920))+P1(f324(f324(f326(f927(x101532,x101532)),f324(f324(f252(x101532,x101532),x101533),f657(x101534,x101531,x101535,x101533,x101532))),f324(f324(f183(f927(x101532,x101532),a916),f656(x101534,x101531,x101535,x101533,x101532)),x101534)))+~P1(f324(f324(f326(f927(x101532,x101532)),f324(f324(f252(x101532,x101532),x101533),x101535)),f324(f324(f183(f927(x101532,x101532),a916),x101531),x101534))) % 194.45/194.27 [10200]E(x102001,x102002)+P1(f324(f324(f326(f927(x102003,x102003)),f324(f324(f252(x102003,x102003),f659(x102004,x102005,x102001,x102002,x102003)),x102001)),f324(f324(f183(f927(x102003,x102003),a916),f658(x102004,x102005,x102001,x102002,x102003)),x102004)))+~P1(f324(f324(f326(f927(x102003,x102003)),f324(f324(f252(x102003,x102003),x102002),x102001)),f324(f324(f183(f927(x102003,x102003),a916),x102005),x102004))) % 194.45/194.27 [10201]E(x102011,f2(a920))+P1(f324(f324(f326(f927(x102012,x102012)),f324(f324(f252(x102012,x102012),f659(x102013,x102011,x102014,x102015,x102012)),x102014)),f324(f324(f183(f927(x102012,x102012),a916),f658(x102013,x102011,x102014,x102015,x102012)),x102013)))+~P1(f324(f324(f326(f927(x102012,x102012)),f324(f324(f252(x102012,x102012),x102015),x102014)),f324(f324(f183(f927(x102012,x102012),a916),x102011),x102013))) % 194.45/194.27 [10237]~P77(x102372)+~P1(f324(f61(x102371),x102375))+E(f324(f324(f8(x102371,x102372),f324(f324(f9(x102371,x102372,x102372),f324(f324(f20(x102371,x102372,f928(x102372,x102372)),f324(f324(f10(a916,f928(x102372,f928(x102372,x102372)),x102371),f96(x102372)),f324(f324(f9(x102371,f928(x102371,a916),a916),f326(x102371)),x102373))),x102374)),f2(x102372))),x102375),f324(f324(f8(x102371,x102372),x102374),f324(f324(f103(f928(x102371,a916)),x102375),x102373))) % 194.45/194.27 [8790]~P77(x87901)+~P1(f324(f61(x87904),x87905))+E(f324(f324(f79(x87901),f324(x87902,x87903)),f324(f324(f8(x87904,x87901),x87902),f324(f324(f3(f928(x87904,a916)),x87905),f324(f324(f306(x87904),x87903),f189(f928(x87904,a916)))))),f324(f324(f8(x87904,x87901),x87902),f324(f324(f306(x87904),x87903),x87905))) % 194.45/194.27 [8791]~P81(x87911)+~P1(f324(f61(x87914),x87915))+E(f324(f324(f80(x87911),f324(x87912,x87913)),f324(f324(f11(x87914,x87911),x87912),f324(f324(f3(f928(x87914,a916)),x87915),f324(f324(f306(x87914),x87913),f189(f928(x87914,a916)))))),f324(f324(f11(x87914,x87911),x87912),f324(f324(f306(x87914),x87913),x87915))) % 194.45/194.27 [9124]~P112(x91242)+~P10(x91242,f324(f168(x91242),f324(f324(f154(x91241,x91242),x91244),x91245)))+E(f324(f136(x91241,f324(f324(f10(x91242,a916,x91241),f324(f235(x91242),x91243)),x91244)),x91245),f177(x91241,f324(f324(f10(x91242,a916,x91241),f324(f235(x91242),x91243)),x91244),x91245)) % 194.45/194.27 [9149]~P77(x91491)+E(f324(f324(f79(x91491),f324(f324(f8(a920,x91491),x91492),f300(a920,x91493,x91494))),f324(f324(f8(a920,x91491),x91492),f300(a920,f324(f324(f79(a920),x91494),f77(a920)),f324(f324(f79(a920),x91494),x91495)))),f324(f324(f8(a920,x91491),x91492),f300(a920,x91493,f324(f324(f79(a920),x91494),x91495))))+~P1(f324(f324(f234(a920),x91493),f324(f324(f79(a920),x91494),f77(a920)))) % 194.45/194.27 [9150]~P1(f324(f324(f326(x91501),x91504),x91505))+~P1(f324(f324(f234(f928(x91501,a916)),f324(f172(x91501),x91502)),x91505))+P1(f324(f324(f234(f928(x91501,a916)),f324(f172(x91501),f324(f324(f159(x91501,x91502),x91503),x91504))),x91505)) % 194.45/194.27 [9388]~P2(x93882)+~P1(f324(f61(x93881),x93885))+E(f324(f324(f64(x93881,x93882,f324(f324(f10(x93882,f928(x93882,x93882),x93881),f103(x93882)),x93883)),x93884),x93885),f324(f324(f103(x93882),x93884),f324(f324(f39(x93881,x93882),x93885),x93883))) % 194.45/194.27 [9389]~P2(x93892)+~P1(f324(f61(x93891),x93895))+E(f324(f324(f64(x93891,x93892,f324(f324(f10(x93892,f928(x93892,x93892),x93891),f112(x93892)),x93893)),x93894),x93895),f324(f324(f112(x93892),x93894),f324(f324(f40(x93891,x93892),x93895),x93893))) % 194.45/194.27 [9438]E(f324(x94381,x94382),f324(x94381,x94383))+P1(f324(f324(f235(a920),f324(x94381,x94382)),f324(x94381,x94383)))+~P1(f324(f324(f326(f927(x94384,x94384)),f324(f324(f252(x94384,x94384),x94382),x94383)),f153(x94384,f324(f324(f151(f928(x94384,a920)),x94381),x94385)))) % 194.45/194.27 [9472]~E(f324(x94724,x94722),f324(x94724,x94723))+~P1(f324(f324(f326(f927(x94721,x94721)),f324(f324(f252(x94721,x94721),x94722),x94723)),f153(x94721,x94725)))+P1(f324(f324(f326(f927(x94721,x94721)),f324(f324(f252(x94721,x94721),x94722),x94723)),f153(x94721,f324(f324(f151(f928(x94721,a920)),x94724),x94725)))) % 194.45/194.27 [9493]~P22(x94931,x94932,x94933,x94935)+P22(x94931,x94932,x94933,f324(f324(f306(x94931),x94934),x94935))+P1(f324(f324(f326(x94932),f324(x94933,x94934)),f324(f307(x94931,x94932,x94933),f324(f324(f3(f928(x94931,a916)),x94935),f324(f324(f306(x94931),x94934),f189(f928(x94931,a916))))))) % 194.45/194.27 [9496]P1(f324(x94962,x94965))+~P1(f324(f324(f326(x94961),x94965),f324(f172(x94961),x94963)))+E(f324(f324(f138(x94961),f324(f190(f921(x94961)),f177(x94961,x94962,f324(f324(f134(x94961),x94963),x94964)))),f324(f324(f134(x94961),x94963),x94964)),f324(f324(f134(x94961),f324(f324(f138(x94961),f324(f190(f921(x94961)),f177(x94961,x94962,x94963))),x94963)),x94964)) % 194.45/194.27 [9501]~P1(f324(f324(f326(f927(x95011,x95011)),f324(f324(f252(x95011,x95011),x95012),x95013)),f153(x95011,x95015)))+~P1(f324(f324(f234(a920),f324(x95014,x95012)),f324(x95014,x95013)))+P1(f324(f324(f326(f927(x95011,x95011)),f324(f324(f252(x95011,x95011),x95012),x95013)),f153(x95011,f324(f324(f151(f928(x95011,a920)),x95014),x95015)))) % 194.45/194.27 [9566]P1(f324(f324(f326(f927(x95664,x95664)),f324(f324(f252(x95664,x95664),x95662),x95663)),f153(x95664,x95665)))+P1(f324(f324(f235(a920),f324(x95661,x95662)),f324(x95661,x95663)))+~P1(f324(f324(f326(f927(x95664,x95664)),f324(f324(f252(x95664,x95664),x95662),x95663)),f153(x95664,f324(f324(f151(f928(x95664,a920)),x95661),x95665)))) % 194.45/194.27 [9713]~P1(f324(f324(f326(f927(f921(x97131),f921(x97131))),f324(f324(f252(f921(x97131),f921(x97131)),x97132),x97134)),f158(x97131,x97135)))+~P1(f324(f324(f235(a920),x97133),f324(f190(f921(x97131)),x97132)))+P1(f324(f324(f326(f927(x97131,x97131)),f324(f324(f252(x97131,x97131),f324(f324(f164(x97131),x97132),x97133)),f324(f324(f164(x97131),x97134),x97133))),x97135)) % 194.45/194.27 [9958]E(x99581,f2(a1))+~P1(f324(f49(x99583,x99581),f324(f324(f252(a1,a1),x99584),x99585)))+P1(f324(f49(f324(f324(f80(a1),x99582),x99583),x99581),f324(f324(f252(a1,a1),f324(f324(f79(a1),f324(f324(f80(a1),x99582),x99584)),f324(f324(f36(a1),f324(f324(f80(a1),x99582),x99585)),x99581))),f45(a1,f324(f324(f80(a1),x99582),x99585),x99581)))) % 194.45/194.27 [9961]~P1(f324(f324(f235(a920),f2(a920)),x99613))+~P1(f324(f48(x99612,x99613),f324(f324(f252(a920,a920),x99614),x99615)))+P1(f324(f48(f324(f324(f80(a920),x99611),x99612),x99613),f324(f324(f252(a920,a920),f324(f324(f79(a920),f324(f324(f80(a920),x99611),x99614)),f324(f324(f36(a920),f324(f324(f80(a920),x99611),x99615)),x99613))),f45(a920,f324(f324(f80(a920),x99611),x99615),x99613)))) % 194.45/194.28 [10260]~P77(x102602)+~P1(f324(f61(x102601),x102604))+E(f324(f324(f8(x102601,x102602),x102603),f324(f262(x102601),f324(f324(f20(x102601,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102601),a322),f324(f324(f9(x102601,f928(x102601,a916),a916),f326(x102601)),x102604))),f324(f324(f9(x102601,f928(x102601,a916),a916),f326(x102601)),x102605)))),f324(f324(f8(x102601,x102602),f324(f324(f9(x102601,x102602,x102602),f324(f324(f20(x102601,x102602,f928(x102602,x102602)),f324(f324(f10(a916,f928(x102602,f928(x102602,x102602)),x102601),f96(x102602)),f324(f324(f9(x102601,f928(x102601,a916),a916),f326(x102601)),x102605))),x102603)),f2(x102602))),x102604)) % 194.45/194.28 [8416]~E(f324(f324(f134(x84161),x84162),x84165),f324(f324(f134(x84161),x84163),x84164))+E(f324(f324(f134(x84161),f324(f324(f138(x84161),f324(f190(f921(x84161)),x84162)),x84163)),x84164),x84165)+P1(f324(f324(f234(a920),f324(f190(f921(x84161)),x84163)),f324(f190(f921(x84161)),x84162))) % 194.45/194.28 [8615]~E(f324(f324(f134(x86152),x86153),x86151),f324(f324(f134(x86152),x86154),x86155))+E(x86151,f324(f324(f134(x86152),f324(f324(f138(x86152),f324(f190(f921(x86152)),x86153)),x86154)),x86155))+~P1(f324(f324(f234(a920),f324(f190(f921(x86152)),x86153)),f324(f190(f921(x86152)),x86154))) % 194.45/194.28 [8705]~E(f324(f324(f79(a920),f324(f324(f80(a920),x87053),x87054)),x87051),f324(f324(f79(a920),f324(f324(f80(a920),x87052),x87054)),x87055))+~P1(f324(f324(f234(a920),x87053),x87052))+E(x87051,f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x87052),x87053)),x87054)),x87055)) % 194.45/194.28 [8706]~E(f324(f324(f79(a920),f324(f324(f80(a920),x87061),x87063)),x87064),f324(f324(f79(a920),f324(f324(f80(a920),x87062),x87063)),x87065))+~P1(f324(f324(f234(a920),x87062),x87061))+E(f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x87061),x87062)),x87063)),x87064),x87065) % 194.45/194.28 [8873]E(f324(f324(f79(a920),f324(f324(f80(a920),x88731),x88732)),x88733),f324(f324(f79(a920),f324(f324(f80(a920),x88734),x88732)),x88735))+~P1(f324(f324(f234(a920),x88734),x88731))+~E(x88735,f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x88731),x88734)),x88732)),x88733)) % 194.45/194.28 [8874]E(f324(f324(f79(a920),f324(f324(f80(a920),x88741),x88742)),x88743),f324(f324(f79(a920),f324(f324(f80(a920),x88744),x88742)),x88745))+~P1(f324(f324(f234(a920),x88744),x88741))+~E(f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x88741),x88744)),x88742)),x88743),x88745) % 194.45/194.28 [9767]~P70(x97672)+~P1(f324(f61(x97671),x97675))+E(f324(f324(f11(x97671,x97672),f324(f324(f20(x97671,x97672,x97672),f324(f324(f10(x97672,f928(x97672,x97672),x97671),f287(x97672)),x97673)),x97674)),x97675),f324(f324(f287(x97672),f324(f324(f11(x97671,x97672),x97673),x97675)),f324(f324(f11(x97671,x97672),x97674),x97675))) % 194.45/194.28 [9898]~E(f660(x98985,x98984,x98983,x98982,x98981),f661(x98985,x98984,x98983,x98982,x98981))+P1(f324(f324(f326(f927(x98981,x98981)),f324(f324(f252(x98981,x98981),x98982),x98983)),f304(x98981,x98984)))+~P1(f324(f324(f326(f927(x98981,x98981)),f324(f324(f252(x98981,x98981),x98982),x98983)),f304(x98981,f324(f324(f112(f928(f927(x98981,x98981),a916)),x98984),x98985)))) % 194.45/194.28 [9899]~E(f668(x98995,x98994,x98993,x98992,x98991),f662(x98995,x98994,x98993,x98992,x98991))+P1(f324(f324(f326(f927(x98991,x98991)),f324(f324(f252(x98991,x98991),x98992),x98993)),f304(x98991,x98994)))+~P1(f324(f324(f326(f927(x98991,x98991)),f324(f324(f252(x98991,x98991),x98992),x98993)),f304(x98991,f324(f324(f112(f928(f927(x98991,x98991),a916)),x98994),x98995)))) % 194.45/194.28 [10096]P1(f324(f324(f326(f927(x100961,x100961)),f324(f324(f252(x100961,x100961),x100962),f662(x100965,x100964,x100963,x100962,x100961))),f304(x100961,x100964)))+P1(f324(f324(f326(f927(x100961,x100961)),f324(f324(f252(x100961,x100961),x100962),x100963)),f304(x100961,x100964)))+~P1(f324(f324(f326(f927(x100961,x100961)),f324(f324(f252(x100961,x100961),x100962),x100963)),f304(x100961,f324(f324(f112(f928(f927(x100961,x100961),a916)),x100964),x100965)))) % 194.45/194.28 [10174]P1(f324(f324(f326(f927(x101741,x101741)),f324(f324(f252(x101741,x101741),f661(x101745,x101744,x101743,x101742,x101741)),x101743)),f304(x101741,x101744)))+P1(f324(f324(f326(f927(x101741,x101741)),f324(f324(f252(x101741,x101741),x101742),x101743)),f304(x101741,x101744)))+~P1(f324(f324(f326(f927(x101741,x101741)),f324(f324(f252(x101741,x101741),x101742),x101743)),f304(x101741,f324(f324(f112(f928(f927(x101741,x101741),a916)),x101744),x101745)))) % 194.45/194.28 [10207]P1(f324(f324(f326(f927(x102071,x102071)),f324(f324(f252(x102071,x102071),x102072),x102073)),f304(x102071,x102074)))+P1(f324(f324(f326(f927(x102071,x102071)),f324(f324(f252(x102071,x102071),f660(x102075,x102074,x102073,x102072,x102071)),f661(x102075,x102074,x102073,x102072,x102071))),x102075))+~P1(f324(f324(f326(f927(x102071,x102071)),f324(f324(f252(x102071,x102071),x102072),x102073)),f304(x102071,f324(f324(f112(f928(f927(x102071,x102071),a916)),x102074),x102075)))) % 194.45/194.28 [10208]P1(f324(f324(f326(f927(x102081,x102081)),f324(f324(f252(x102081,x102081),x102082),x102083)),f304(x102081,x102084)))+P1(f324(f324(f326(f927(x102081,x102081)),f324(f324(f252(x102081,x102081),f662(x102085,x102084,x102083,x102082,x102081)),f668(x102085,x102084,x102083,x102082,x102081))),x102085))+~P1(f324(f324(f326(f927(x102081,x102081)),f324(f324(f252(x102081,x102081),x102082),x102083)),f304(x102081,f324(f324(f112(f928(f927(x102081,x102081),a916)),x102084),x102085)))) % 194.45/194.28 [10351]~P1(f324(f324(f326(f927(f921(x103511),f921(x103511))),f324(f324(f252(f921(x103511),f921(x103511)),x103514),x103515)),f158(x103511,x103512)))+~P1(f324(f324(f326(f927(x103511,x103511)),x103513),f324(f172(f927(x103511,x103511)),f324(f324(f181(x103511,x103511),x103514),x103515))))+P1(f324(f324(f257(x103511,x103511,a916),f324(f324(f9(x103511,f928(f927(x103511,x103511),a916),f928(x103511,a916)),f324(f324(f10(f928(x103511,f928(f928(f927(x103511,x103511),a916),a916)),f928(f928(f927(x103511,x103511),a916),f928(x103511,a916)),x103511),f9(x103511,f928(f927(x103511,x103511),a916),a916)),f324(f324(f10(f928(x103511,f927(x103511,x103511)),f928(x103511,f928(f928(f927(x103511,x103511),a916),a916)),x103511),f324(f10(f927(x103511,x103511),f928(f928(f927(x103511,x103511),a916),a916),x103511),f326(f927(x103511,x103511)))),f252(x103511,x103511)))),x103512)),x103513)) % 194.45/194.28 [9797]~P1(f324(f324(f234(a920),x97973),x97972))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(f324(f80(a920),x97973),x97974)),x97971)),f324(f324(f79(a920),f324(f324(f80(a920),x97972),x97974)),x97975)))+P1(f324(f324(f234(a920),x97971),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x97972),x97973)),x97974)),x97975))) % 194.45/194.28 [9798]~P1(f324(f324(f234(a920),x97983),x97982))+~P1(f324(f324(f235(a920),f324(f324(f79(a920),f324(f324(f80(a920),x97983),x97984)),x97981)),f324(f324(f79(a920),f324(f324(f80(a920),x97982),x97984)),x97985)))+P1(f324(f324(f235(a920),x97981),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x97982),x97983)),x97984)),x97985))) % 194.45/194.28 [9815]~P1(f324(f324(f234(a920),x98151),x98154))+P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(f324(f80(a920),x98151),x98152)),x98153)),f324(f324(f79(a920),f324(f324(f80(a920),x98154),x98152)),x98155)))+~P1(f324(f324(f234(a920),x98153),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x98154),x98151)),x98152)),x98155))) % 194.45/194.28 [9816]~P1(f324(f324(f234(a920),x98161),x98164))+P1(f324(f324(f235(a920),f324(f324(f79(a920),f324(f324(f80(a920),x98161),x98162)),x98163)),f324(f324(f79(a920),f324(f324(f80(a920),x98164),x98162)),x98165)))+~P1(f324(f324(f235(a920),x98163),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x98164),x98161)),x98162)),x98165))) % 194.45/194.28 [9933]~P1(f324(f324(f234(a920),x99332),x99331))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(f324(f80(a920),x99331),x99333)),x99334)),f324(f324(f79(a920),f324(f324(f80(a920),x99332),x99333)),x99335)))+P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x99331),x99332)),x99333)),x99334)),x99335)) % 194.45/194.28 [9934]~P1(f324(f324(f234(a920),x99342),x99341))+~P1(f324(f324(f235(a920),f324(f324(f79(a920),f324(f324(f80(a920),x99341),x99343)),x99344)),f324(f324(f79(a920),f324(f324(f80(a920),x99342),x99343)),x99345)))+P1(f324(f324(f235(a920),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x99341),x99342)),x99343)),x99344)),x99345)) % 194.45/194.28 [9980]~P1(f324(f324(f234(a920),x99804),x99801))+P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(f324(f80(a920),x99801),x99802)),x99803)),f324(f324(f79(a920),f324(f324(f80(a920),x99804),x99802)),x99805)))+~P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x99801),x99804)),x99802)),x99803)),x99805)) % 194.45/194.28 [9981]~P1(f324(f324(f234(a920),x99814),x99811))+P1(f324(f324(f235(a920),f324(f324(f79(a920),f324(f324(f80(a920),x99811),x99812)),x99813)),f324(f324(f79(a920),f324(f324(f80(a920),x99814),x99812)),x99815)))+~P1(f324(f324(f235(a920),f324(f324(f79(a920),f324(f324(f80(a920),f324(f324(f3(a920),x99811),x99814)),x99812)),x99813)),x99815)) % 194.45/194.28 [10195]~P8(x101951,x101952,x101955,x101953)+~P1(f324(f324(f326(f927(x101951,x101951)),x101954),x101955))+P1(f324(f324(f257(x101951,x101951,a916),f324(f324(f9(x101951,f928(x101951,x101952),f928(x101951,a916)),f324(f324(f10(f928(x101952,a916),f928(f928(x101951,x101952),f928(x101951,a916)),x101951),f10(x101952,a916,x101951)),f324(f324(f10(x101952,f928(x101952,a916),x101951),a321),x101953))),x101953)),x101954)) % 194.45/194.28 [10216]~P113(x102161)+~P38(x102161,f928(x102162,a916),x102163)+P38(x102161,f928(x102162,a916),f324(f324(f9(x102161,f928(x102162,a916),f928(x102162,a916)),f324(f324(f10(f928(x102162,a916),f928(f928(x102162,a916),f928(x102162,a916)),x102161),f112(f928(x102162,a916))),f324(f324(f9(x102161,f928(x102162,a916),f928(x102162,a916)),f324(f324(f10(f928(x102162,a916),f928(f928(x102162,a916),f928(x102162,a916)),x102161),f112(f928(x102162,a916))),x102163)),x102164))),x102165)) % 194.45/194.28 [7401]~P40(x74014,x74012,x74015,x74016)+P40(f27(x74011,x74013,x74014),x74012,x74015,x74016)+P1(f324(x74011,x74012)) % 194.45/194.28 [7475]~P40(x74752,x74754,x74755,x74756)+P40(f27(x74751,x74752,x74753),x74754,x74755,x74756)+~P1(f324(x74751,x74754)) % 194.45/194.28 [7559]P40(x75593,x75592,x75594,x75595)+~P40(f27(x75591,x75596,x75593),x75592,x75594,x75595)+P1(f324(x75591,x75592)) % 194.45/194.28 [7589]P40(x75891,x75892,x75893,x75894)+~P40(f27(x75895,x75891,x75896),x75892,x75893,x75894)+~P1(f324(x75895,x75892)) % 194.45/194.28 [7953]~P40(x79531,x79533,x79534,x79536)+~P40(x79532,x79536,x79534,x79535)+P40(f30(x79531,x79532),x79533,x79534,x79535) % 194.45/194.28 [7956]P40(x79561,x79562,x79563,x79564)+P40(x79565,x79562,x79563,x79564)+~P40(f27(x79566,x79561,x79565),x79562,x79563,x79564) % 194.45/194.28 [8577]~P17(x85776,x85771,x85772,x85774)+E(f324(f72(x85771,x85771,x85771,f324(x85772,x85773)),f324(x85774,x85775)),f324(f72(x85771,x85771,x85771,f324(x85774,x85775)),f324(x85772,x85773)))+~P1(f324(f61(x85776),x85775)) % 194.45/194.28 [9017]~P22(x90171,x90173,x90175,x90176)+~P22(x90173,x90172,x90174,f324(f307(x90171,x90173,x90175),x90176))+P22(x90171,x90172,f324(f72(x90173,x90172,x90171,x90174),x90175),x90176) % 194.45/194.28 [9600]~P1(f324(f324(x96003,x96002),x96006))+~P1(f324(f324(x96004,x96005),x96002))+P1(f324(f324(f326(x96001),x96002),f297(x96001,x96003,x96004,x96005,x96006))) % 194.45/194.28 [9601]~P1(f324(f324(x96014,x96012),x96016))+~P1(f324(f324(x96013,x96015),x96012))+P1(f324(f324(f326(x96011),x96012),f294(x96011,x96013,x96014,x96015,x96016))) % 194.45/194.28 [9714]E(x97141,x97142)+E(x97143,x97144)+~P1(f324(f324(f326(f927(f921(x97145),f921(x97145))),f324(f324(f252(f921(x97145),f921(x97145)),f324(f324(f151(x97145),x97143),x97141)),f324(f324(f151(x97145),x97144),x97142))),f157(x97145,x97146))) % 194.45/194.28 [9723]~E(x97232,x97234)+P1(f324(f324(f326(f927(f921(x97231),f921(x97231))),f324(f324(f252(f921(x97231),f921(x97231)),f324(f324(f151(x97231),x97232),x97233)),f324(f324(f151(x97231),x97234),x97235))),f145(x97231,x97236)))+~P1(f324(f324(f326(f927(f921(x97231),f921(x97231))),f324(f324(f252(f921(x97231),f921(x97231)),x97233),x97235)),f145(x97231,x97236))) % 194.45/194.28 [9724]~E(x97242,x97244)+P1(f324(f324(f326(f927(f921(x97241),f921(x97241))),f324(f324(f252(f921(x97241),f921(x97241)),f324(f324(f151(x97241),x97242),x97243)),f324(f324(f151(x97241),x97244),x97245))),f147(x97241,x97246)))+~P1(f324(f324(f326(f927(f921(x97241),f921(x97241))),f324(f324(f252(f921(x97241),f921(x97241)),x97243),x97245)),f147(x97241,x97246))) % 194.45/194.28 [9725]~E(x97252,x97254)+P1(f324(f324(f326(f927(f921(x97251),f921(x97251))),f324(f324(f252(f921(x97251),f921(x97251)),f324(f324(f151(x97251),x97252),x97253)),f324(f324(f151(x97251),x97254),x97255))),f157(x97251,x97256)))+~P1(f324(f324(f326(f927(f921(x97251),f921(x97251))),f324(f324(f252(f921(x97251),f921(x97251)),x97253),x97255)),f157(x97251,x97256))) % 194.45/194.28 [9726]~E(x97262,x97264)+P1(f324(f324(f326(f927(f921(x97261),f921(x97261))),f324(f324(f252(f921(x97261),f921(x97261)),f324(f324(f134(x97261),x97262),x97263)),f324(f324(f134(x97261),x97264),x97265))),f157(x97261,x97266)))+~P1(f324(f324(f326(f927(f921(x97261),f921(x97261))),f324(f324(f252(f921(x97261),f921(x97261)),x97263),x97265)),f157(x97261,x97266))) % 194.45/194.28 [9727]~E(x97273,x97275)+P1(f324(f324(f326(f927(f921(x97271),f921(x97271))),f324(f324(f252(f921(x97271),f921(x97271)),f324(f324(f134(x97271),x97272),x97273)),f324(f324(f134(x97271),x97274),x97275))),f157(x97271,x97276)))+~P1(f324(f324(f326(f927(f921(x97271),f921(x97271))),f324(f324(f252(f921(x97271),f921(x97271)),x97272),x97274)),f157(x97271,x97276))) % 194.45/194.28 [9785]E(x97851,x97852)+P1(f324(f324(f326(f927(f921(x97853),f921(x97853))),f324(f324(f252(f921(x97853),f921(x97853)),x97851),x97852)),f157(x97853,x97854)))+~P1(f324(f324(f326(f927(f921(x97853),f921(x97853))),f324(f324(f252(f921(x97853),f921(x97853)),f324(f324(f151(x97853),x97855),x97851)),f324(f324(f151(x97853),x97856),x97852))),f157(x97853,x97854))) % 194.45/194.28 [9937]~E(x99373,x99375)+P1(f324(f324(f326(f927(f921(x99371),f921(x99371))),f324(f324(f252(f921(x99371),f921(x99371)),f324(f324(f134(x99371),x99372),f324(f324(f151(x99371),x99373),f115(x99371)))),f324(f324(f134(x99371),x99374),f324(f324(f151(x99371),x99375),f115(x99371))))),f157(x99371,x99376)))+~P1(f324(f324(f326(f927(f921(x99371),f921(x99371))),f324(f324(f252(f921(x99371),f921(x99371)),x99372),x99374)),f157(x99371,x99376))) % 194.45/194.28 [9984]E(x99841,x99842)+E(x99843,x99844)+~P1(f324(f324(f326(f927(f921(x99845),f921(x99845))),f324(f324(f252(f921(x99845),f921(x99845)),f324(f324(f134(x99845),x99843),f324(f324(f151(x99845),x99841),f115(x99845)))),f324(f324(f134(x99845),x99844),f324(f324(f151(x99845),x99842),f115(x99845))))),f157(x99845,x99846))) % 194.45/194.28 [10010]E(x100101,x100102)+~P1(f324(f324(f326(f927(f921(x100103),f921(x100103))),f324(f324(f252(f921(x100103),f921(x100103)),f324(f324(f134(x100103),x100101),f324(f324(f151(x100103),x100105),f115(x100103)))),f324(f324(f134(x100103),x100102),f324(f324(f151(x100103),x100106),f115(x100103))))),f157(x100103,x100104)))+P1(f324(f324(f326(f927(f921(x100103),f921(x100103))),f324(f324(f252(f921(x100103),f921(x100103)),x100101),x100102)),f157(x100103,x100104))) % 194.45/194.28 [10047]~P1(f324(f324(f326(f927(f928(x100471,a916),f928(x100471,a916))),f324(f324(f252(f928(x100471,a916),f928(x100471,a916)),x100472),x100474)),f316(x100471,x100476)))+~P1(f324(f324(f326(f927(f928(x100471,a916),f928(x100471,a916))),f324(f324(f252(f928(x100471,a916),f928(x100471,a916)),x100473),x100475)),f316(x100471,x100476)))+P1(f324(f324(f326(f927(f928(x100471,a916),f928(x100471,a916))),f324(f324(f252(f928(x100471,a916),f928(x100471,a916)),f324(f324(f112(f928(x100471,a916)),x100472),x100473)),f324(f324(f112(f928(x100471,a916)),x100474),x100475))),f316(x100471,x100476))) % 194.45/194.28 [5801]~E(f324(f324(f134(x58011),x58016),x58013),x58015)+E(f324(f324(f134(x58011),x58012),x58013),f324(f324(f151(x58011),x58014),x58015))+~E(x58012,f324(f324(f151(x58011),x58014),x58016)) % 194.45/194.28 [5802]~E(f324(f324(f134(x58021),x58026),x58023),x58025)+E(f324(f324(f134(x58021),x58022),x58023),f324(f324(f134(x58021),x58024),x58025))+~E(x58022,f324(f324(f134(x58021),x58024),x58026)) % 194.45/194.28 [5804]E(f324(f324(f134(x58041),x58042),x58043),f324(f324(f151(x58041),x58044),x58045))+~E(f324(f324(f151(x58041),x58044),x58046),x58042)+~E(x58045,f324(f324(f134(x58041),x58046),x58043)) % 194.45/194.28 [5806]~E(f324(f324(f134(x58061),x58062),x58066),x58064)+E(f324(f324(f134(x58061),x58062),x58063),f324(f324(f134(x58061),x58064),x58065))+~E(x58063,f324(f324(f134(x58061),x58066),x58065)) % 194.45/194.28 [6948]E(f324(x69481,x69482),f324(x69483,x69482))+~E(f324(f324(f154(x69484,x69485),x69481),x69486),f324(f324(f154(x69484,x69485),x69483),x69486))+~P1(f324(f324(f326(x69484),x69482),f324(f172(x69484),x69486))) % 194.45/194.28 [7331]~P17(x73314,x73315,x73316,x73311)+E(f324(f324(x73311,x73312),x73313),f324(f324(f64(x73314,x73315,x73316),x73313),x73312))+~P1(f324(f61(x73314),x73312)) % 194.45/194.28 [7406]~E(x74062,f324(x74064,x74066))+~P1(f324(f324(f326(x74063),x74066),x74065))+P1(f324(f324(f326(x74061),x74062),f324(f307(x74063,x74061,x74064),x74065))) % 194.45/194.28 [7407]~E(f324(x74074,x74072),x74076)+~P1(f324(f324(f326(x74073),x74076),x74075))+P1(f324(f324(f326(x74071),x74072),f324(f308(x74071,x74073,x74074),x74075))) % 194.45/194.28 [7859]~P30(x78591,x78592,x78594,x78596)+P30(x78591,x78592,f324(f324(f151(x78591),x78593),x78594),f324(f324(f151(x78591),x78595),x78596))+~P1(f324(f324(x78592,x78593),x78595)) % 194.45/194.28 [8883]~P57(x88834,x88835,x88831,x88832,x88836)+E(f324(x88831,f324(x88832,x88833)),x88833)+~P1(f324(f324(f326(x88835),x88833),x88836)) % 194.45/194.28 [9397]~P23(x93972,x93971,x93975,x93974,x93973)+E(f324(f91(x93971,x93972,x93973,f91(x93972,x93971,x93974,x93975)),x93976),f324(x93975,x93976))+~P1(f324(f324(f326(x93972),x93976),x93974)) % 194.45/194.28 [9408]~P22(x94081,x94082,x94083,x94086)+P22(x94081,x94082,f74(x94081,x94082,x94083,x94084,x94085),x94086)+P1(f324(f324(f326(x94082),x94085),f324(f307(x94081,x94082,x94083),x94086))) % 194.45/194.28 [9716]E(x97161,x97162)+E(f324(f190(f921(x97163)),x97164),f324(f190(f921(x97163)),x97165))+~P1(f324(f324(f326(f927(f921(x97163),f921(x97163))),f324(f324(f252(f921(x97163),f921(x97163)),f324(f324(f151(x97163),x97161),x97164)),f324(f324(f151(x97163),x97162),x97165))),f145(x97163,x97166))) % 194.45/194.28 [9779]~P14(x97791,x97792,x97793)+E(f324(f324(f64(x97791,x97792,x97793),x97794),x97795),x97796)+~P1(f324(f66(x97791,x97792,x97793,x97794,x97795),x97796)) % 194.45/194.28 [9788]E(f324(f190(f921(x97881)),x97882),f324(f190(f921(x97881)),x97883))+P1(f324(f324(f326(f927(f921(x97881),f921(x97881))),f324(f324(f252(f921(x97881),f921(x97881)),x97882),x97883)),f145(x97881,x97884)))+~P1(f324(f324(f326(f927(f921(x97881),f921(x97881))),f324(f324(f252(f921(x97881),f921(x97881)),f324(f324(f151(x97881),x97885),x97882)),f324(f324(f151(x97881),x97886),x97883))),f145(x97881,x97884))) % 194.45/194.28 [9809]~P1(f324(f324(f326(f927(x98091,x98091)),f324(f324(f252(x98091,x98091),x98092),x98094)),f304(x98091,x98096)))+P1(f324(f324(f326(f927(f921(x98091),f921(x98091))),f324(f324(f252(f921(x98091),f921(x98091)),f324(f324(f151(x98091),x98092),x98093)),f324(f324(f151(x98091),x98094),x98095))),f304(f921(x98091),f157(x98091,x98096))))+~P1(f324(f324(f326(f927(f921(x98091),f921(x98091))),f324(f324(f252(f921(x98091),f921(x98091)),x98093),x98095)),f304(f921(x98091),f157(x98091,x98096)))) % 194.45/194.28 [9990]~P1(f324(x99902,x99906))+~E(f324(f136(x99901,x99902),x99903),f324(f324(f151(x99901),x99904),x99905))+~P1(f324(f324(f326(x99901),x99906),f324(f172(x99901),f778(x99905,x99904,x99903,x99902,x99901)))) % 194.45/194.28 [9991]~P1(f324(x99914,x99916))+~E(f324(f324(f151(x99911),x99912),x99913),f324(f136(x99911,x99914),x99915))+~P1(f324(f324(f326(x99911),x99916),f324(f172(x99911),f774(x99915,x99914,x99913,x99912,x99911)))) % 194.45/194.28 [10296]~P77(x102962)+E(f324(f324(f8(x102961,x102962),f324(f324(f10(f928(x102963,a916),x102962,x102961),f324(f8(x102963,x102962),x102964)),f324(f324(f10(f928(x102963,a916),f928(x102963,a916),x102961),f262(x102963)),f324(f324(f10(f928(x102963,a916),f928(x102963,a916),x102961),f324(f20(x102963,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102963),a322),f324(f324(f9(x102963,f928(x102963,a916),a916),f326(x102963)),x102965)))),f324(f9(x102963,x102961,a916),f324(f324(f10(x102961,f928(x102961,a916),x102963),a321),x102966)))))),f324(f307(x102963,x102961,x102966),x102965)),f324(f324(f8(x102963,x102962),x102964),x102965))+~P1(f324(f61(x102963),x102965)) % 194.45/194.28 [7006]~P112(x70063)+P1(f324(x70062,x70065))+E(f324(f136(x70061,x70062),f324(f324(f148(x70061,x70063,x70064),x70065),x70066)),f324(f136(x70061,x70062),x70066)) % 194.45/194.28 [7008]P1(f324(x70081,x70082))+~E(f166(x70083,x70081,x70084),f324(f324(f252(f921(x70083),f921(x70083)),x70085),x70086))+~P1(f324(f324(f326(x70083),x70082),f324(f172(x70083),x70085))) % 194.45/194.28 [7052]~P1(f324(x70522,x70526))+~E(f166(x70521,x70522,x70523),f324(f324(f252(f921(x70521),f921(x70521)),x70524),x70525))+~P1(f324(f324(f326(x70521),x70526),f324(f172(x70521),x70525))) % 194.45/194.28 [7724]~P12(x77241,x77242,x77243)+~P1(f324(f61(x77241),x77246))+E(f324(f324(f64(x77241,x77242,x77243),x77244),f324(f324(f306(x77241),x77245),x77246)),f324(f324(f64(x77241,x77242,x77243),f324(f324(x77243,x77245),x77244)),x77246)) % 194.45/194.28 [7775]~P112(x77752)+~P1(f324(f324(f234(x77752),f324(x77753,x77754)),f324(x77753,x77755)))+E(f324(f324(f148(x77751,x77752,x77753),x77754),f324(f324(f151(x77751),x77755),x77756)),f324(f324(f151(x77751),x77754),f324(f324(f151(x77751),x77755),x77756))) % 194.45/194.28 [7887]E(x78871,x78872)+~E(f324(f324(f254(x78873,x78874),x78871),f324(f18(f928(x78874,a916),x78873),x78875)),f324(f324(f254(x78873,x78874),x78872),f324(f18(f928(x78874,a916),x78873),x78875)))+~P1(f324(f324(f326(x78874),x78876),x78875)) % 194.45/194.28 [7958]~P12(x79581,x79582,x79583)+~P1(f324(f61(x79581),x79586))+E(f324(f324(f64(x79581,x79582,x79583),x79584),f324(f324(f306(x79581),x79585),x79586)),f324(f324(x79583,x79585),f324(f324(f64(x79581,x79582,x79583),x79584),x79586))) % 194.45/194.28 [8076]~P14(x80761,x80762,x80763)+~P1(f324(f61(x80761),x80766))+E(f324(f324(f64(x80761,x80762,x80763),f324(f324(x80763,x80764),x80765)),x80766),f324(f324(x80763,x80764),f324(f324(f64(x80761,x80762,x80763),x80765),x80766))) % 194.45/194.28 [8150]~P18(x81502,x81505,x81506,x81501)+~P1(f324(f61(x81502),x81504))+E(f324(x81501,f324(f324(f306(x81502),x81503),x81504)),f324(f72(x81505,x81505,x81505,f324(x81501,x81504)),f324(x81506,x81503))) % 194.45/194.28 [8182]~P112(x81822)+P1(f324(f324(f234(x81822),f324(x81823,x81824)),f324(x81823,x81825)))+E(f324(f324(f148(x81821,x81822,x81823),x81824),f324(f324(f151(x81821),x81825),x81826)),f324(f324(f151(x81821),x81825),f324(f324(f148(x81821,x81822,x81823),x81824),x81826))) % 194.45/194.28 [8323]~E(f324(f190(f921(x83231)),x83235),f324(f190(f921(x83232)),x83236))+~E(f324(f190(f921(x83231)),x83233),f324(f190(f921(x83232)),x83234))+E(f324(f324(f134(f927(x83231,x83232)),f324(f324(f181(x83231,x83232),x83233),x83234)),f324(f324(f181(x83231,x83232),x83235),x83236)),f324(f324(f181(x83231,x83232),f324(f324(f134(x83231),x83233),x83235)),f324(f324(f134(x83232),x83234),x83236))) % 194.45/194.28 [8434]~E(x84342,f324(f307(x84343,x84341,x84344),x84346))+P1(f324(f324(f234(f928(x84341,a916)),x84342),f324(f307(x84343,x84341,x84344),x84345)))+~P1(f324(f324(f234(f928(x84343,a916)),x84346),x84345)) % 194.45/194.28 [8537]~P112(x85375)+E(f324(x85371,x85372),f324(x85371,x85373))+E(f324(f324(f148(x85374,x85375,x85371),x85372),f324(f324(f148(x85374,x85375,x85371),x85373),x85376)),f324(f324(f148(x85374,x85375,x85371),x85373),f324(f324(f148(x85374,x85375,x85371),x85372),x85376))) % 194.45/194.28 [8714]~P1(f324(f324(f326(x87142),x87144),f324(x87146,x87143)))+~P1(f324(f324(f326(x87141),x87143),x87145))+P1(f324(f324(f326(f927(x87141,x87142)),f324(f324(f252(x87141,x87142),x87143),x87144)),f324(f324(f254(x87141,x87142),x87145),x87146))) % 194.45/194.28 [9193]~P77(x91932)+~P22(x91934,x91931,x91935,x91936)+E(f324(f324(f8(x91931,x91932),x91933),f324(f307(x91934,x91931,x91935),x91936)),f324(f324(f8(x91934,x91932),f324(f72(x91931,x91932,x91934,x91933),x91935)),x91936)) % 194.45/194.28 [9194]~P81(x91942)+~P22(x91944,x91941,x91945,x91946)+E(f324(f324(f11(x91941,x91942),x91943),f324(f307(x91944,x91941,x91945),x91946)),f324(f324(f11(x91944,x91942),f324(f72(x91941,x91942,x91944,x91943),x91945)),x91946)) % 194.45/194.28 [9241]~P32(x92412,x92415,x92411,x92413,x92416)+P1(f324(f324(x92411,f324(f324(f164(x92412),x92413),x92414)),f324(f324(f164(x92415),x92416),x92414)))+~P1(f324(f324(f235(a920),x92414),f324(f190(f921(x92415)),x92416))) % 194.45/194.28 [9242]~P32(x92422,x92425,x92421,x92423,x92426)+P1(f324(f324(x92421,f324(f324(f164(x92422),x92423),x92424)),f324(f324(f164(x92425),x92426),x92424)))+~P1(f324(f324(f235(a920),x92424),f324(f190(f921(x92422)),x92423))) % 194.45/194.28 [9253]~E(f324(f307(x92531,x92532,x92533),x92534),x92536)+E(f324(f307(x92531,x92532,x92533),f324(f307(x92532,x92531,f91(x92531,x92532,x92534,x92533)),x92535)),x92535)+~P1(f324(f324(f234(f928(x92532,a916)),x92535),x92536)) % 194.45/194.28 [9467]~P17(x94673,x94671,x94676,x94672)+~P1(f324(f61(x94673),x94674))+E(f324(f72(x94671,x94671,x94671,f324(x94672,f324(f324(f3(f928(x94673,a916)),x94674),f324(f324(f306(x94673),x94675),f189(f928(x94673,a916)))))),f324(x94676,x94675)),f324(x94672,f324(f324(f306(x94673),x94675),x94674))) % 194.45/194.28 [9480]~P1(f324(f324(f326(x94805),x94803),x94806))+P1(f324(f324(f326(x94801),f324(x94802,x94803)),f98(f928(x94801,a916),x94804)))+~P1(f324(f324(f234(f928(x94801,a916)),f324(f307(x94805,x94801,x94802),x94806)),f324(x94804,f324(f307(x94805,x94801,x94802),x94806)))) % 194.45/194.28 [10076]~E(f324(f307(x100762,x100764,x100766),f242(f928(x100762,a916))),f242(f928(x100764,a916)))+~E(f324(f307(x100761,x100763,x100765),f242(f928(x100761,a916))),f242(f928(x100763,a916)))+E(f324(f307(f927(x100761,x100762),f927(x100763,x100764),f258(x100761,x100763,x100762,x100764,x100765,x100766)),f242(f928(f927(x100761,x100762),a916))),f242(f928(f927(x100763,x100764),a916))) % 194.45/194.28 [10124]~P22(x101243,x101244,x101245,f324(x101246,f567(x101246,x101245,x101244,x101243,x101242,x101241)))+P22(x101243,x101244,x101245,f324(f324(f39(x101242,f928(x101243,a916)),x101241),x101246))+E(x101241,f189(f928(x101242,a916))) % 194.45/194.28 [10181]P22(x101816,x101815,x101814,f324(f324(f39(x101812,f928(x101816,a916)),x101811),x101813))+E(x101811,f189(f928(x101812,a916)))+P1(f324(f324(f326(x101812),f567(x101813,x101814,x101815,x101816,x101812,x101811)),x101811)) % 194.45/194.28 [10186]P1(f324(f324(f326(x101861),f634(x101862,x101863,x101864,x101865,x101866,x101861)),x101866))+P1(f324(f324(f234(f928(f927(x101861,x101864),a916)),f324(f324(f254(x101861,x101864),x101866),x101863)),f324(f324(f254(x101861,x101864),x101865),x101862)))+~P1(f324(f324(f234(f928(x101861,a916)),x101866),x101865)) % 194.45/194.28 [10222]P11(x102226,x102225,f324(f324(f306(f919(x102226)),f324(f324(f324(f90(x102226),x102224),x102223),x102222)),f189(f928(f919(x102226),a916))))+~P11(x102226,x102225,f324(f324(f306(f919(x102226)),f324(f324(f324(f90(x102226),x102224),x102223),x102221)),f189(f928(f919(x102226),a916))))+P1(f324(f324(x102221,f489(x102222,x102221,x102223,x102224,x102225,x102226)),f498(x102222,x102221,x102223,x102224,x102225,x102226))) % 194.45/194.28 [10223]P11(x102236,x102235,f324(f324(f306(f919(x102236)),f324(f324(f324(f90(x102236),x102231),x102233),x102232)),f189(f928(f919(x102236),a916))))+~P11(x102236,x102235,f324(f324(f306(f919(x102236)),f324(f324(f324(f90(x102236),x102234),x102233),x102232)),f189(f928(f919(x102236),a916))))+P1(f324(f324(x102231,f508(x102231,x102232,x102233,x102234,x102235,x102236)),f521(x102231,x102232,x102233,x102234,x102235,x102236))) % 194.45/194.28 [10266]~P11(x102661,x102662,f324(f324(f306(f919(x102661)),f324(f324(f324(f90(x102661),x102663),x102664),x102666)),f189(f928(f919(x102661),a916))))+P11(x102661,x102662,f324(f324(f306(f919(x102661)),f324(f324(f324(f90(x102661),x102663),x102664),x102665)),f189(f928(f919(x102661),a916))))+~P1(f324(f324(x102665,f489(x102665,x102666,x102664,x102663,x102662,x102661)),f498(x102665,x102666,x102664,x102663,x102662,x102661))) % 194.45/194.28 [10267]~P11(x102671,x102672,f324(f324(f306(f919(x102671)),f324(f324(f324(f90(x102671),x102676),x102674),x102675)),f189(f928(f919(x102671),a916))))+P11(x102671,x102672,f324(f324(f306(f919(x102671)),f324(f324(f324(f90(x102671),x102673),x102674),x102675)),f189(f928(f919(x102671),a916))))+~P1(f324(f324(x102676,f508(x102673,x102675,x102674,x102676,x102672,x102671)),f521(x102673,x102675,x102674,x102676,x102672,x102671))) % 194.45/194.28 [10309]~P1(f324(f324(f234(f928(x103092,a916)),f324(x103094,f634(x103096,x103094,x103092,x103095,x103093,x103091))),f324(x103096,f634(x103096,x103094,x103092,x103095,x103093,x103091))))+~P1(f324(f324(f234(f928(x103091,a916)),x103093),x103095))+P1(f324(f324(f234(f928(f927(x103091,x103092),a916)),f324(f324(f254(x103091,x103092),x103093),x103094)),f324(f324(f254(x103091,x103092),x103095),x103096))) % 194.45/194.28 [7909]~P1(f324(x79091,x79095))+~P1(f324(x79096,x79094))+P1(f324(x79091,f324(f256(x79092,x79093),f324(f324(f252(x79092,x79093),x79094),x79095)))) % 194.45/194.28 [7910]~P1(f324(x79101,x79104))+~P1(f324(x79106,x79105))+P1(f324(x79101,f324(f251(x79102,x79103),f324(f324(f252(x79102,x79103),x79104),x79105)))) % 194.45/194.28 [7964]~P1(f324(f324(x79644,x79646),x79645))+~P1(f324(f324(f326(x79641),x79646),x79643))+P1(f324(f324(f324(f40(x79641,f928(x79642,a916)),x79643),x79644),x79645)) % 194.45/194.28 [8275]~P1(f324(f324(f326(x82751),x82752),f324(x82755,x82756)))+~P1(f324(f324(f326(x82753),x82756),x82754))+P1(f324(f324(f326(x82751),x82752),f324(f324(f40(x82753,f928(x82751,a916)),x82754),x82755))) % 194.45/194.28 [8316]P1(f324(f324(x83161,x83162),x83163))+~P1(f324(f324(x83164,x83162),x83163))+~P1(f324(f324(f234(f928(x83165,f928(x83166,a916))),x83164),x83161)) % 194.45/194.28 [8457]P1(f324(f324(x84571,x84572),x84573))+~P1(f324(f324(f326(x84574),x84572),x84575))+~P1(f324(f324(f324(f39(x84574,f928(x84576,a916)),x84575),x84571),x84573)) % 194.45/194.28 [8592]P1(f324(f324(f326(x85921),x85922),f324(x85923,x85924)))+~P1(f324(f324(f326(x85925),x85924),x85926))+~P1(f324(f324(f326(x85921),x85922),f324(f324(f39(x85925,f928(x85921,a916)),x85926),x85923))) % 194.45/194.28 [8862]~P8(x88624,x88625,x88626,x88621)+E(f324(x88621,x88622),f324(x88621,x88623))+~P1(f324(f324(f326(f927(x88624,x88624)),f324(f324(f252(x88624,x88624),x88622),x88623)),x88626)) % 194.45/194.28 [8896]P1(f324(f324(f234(f928(x88961,a916)),x88962),f324(x88963,x88964)))+~P1(f324(f324(f326(x88965),x88964),x88966))+~P1(f324(f324(f234(f928(x88961,a916)),x88962),f324(f324(f39(x88965,f928(x88961,a916)),x88966),x88963))) % 194.45/194.28 [8930]~P55(x89303,x89304,f324(f284(x89304,x89303),x89305))+E(x89301,f189(f928(x89302,a916)))+E(f324(f324(f39(x89302,f928(x89303,a916)),x89301),f324(f324(f10(f928(x89304,a916),f928(x89303,a916),x89302),f283(x89304,x89303,x89305)),x89306)),f324(f283(x89304,x89303,x89305),f324(f324(f39(x89302,f928(x89304,a916)),x89301),x89306))) % 194.45/194.28 [9008]P1(f324(f324(f326(x90081),x90082),f324(f283(x90083,x90081,x90084),x90085)))+~P1(f324(f324(f326(x90083),x90086),x90085))+~P1(f324(f324(f326(f927(x90083,x90081)),f324(f324(f252(x90083,x90081),x90086),x90082)),x90084)) % 194.45/194.28 [9327]P1(f324(f324(f234(f928(x93271,a916)),f324(f283(x93272,x93271,x93273),x93274)),f324(f283(x93272,x93271,x93275),x93276)))+~P1(f324(f324(f234(f928(x93272,a916)),x93274),x93276))+~P1(f324(f324(f234(f928(f927(x93272,x93271),a916)),x93273),x93275)) % 194.45/194.28 [9517]~P1(f324(f324(f326(x95172),x95176),x95174))+~P1(f324(f324(f234(f928(x95171,a916)),x95173),x95175))+P1(f324(f324(f234(f928(f927(x95171,x95172),a916)),f324(f324(f254(x95171,x95172),x95173),f324(f18(f928(x95172,a916),x95171),x95174))),f324(f324(f254(x95171,x95172),x95175),f324(f18(f928(x95172,a916),x95171),x95174)))) % 194.45/194.28 [9529]~P32(x95291,x95292,x95293,x95295,x95296)+P1(f324(f324(f257(x95291,x95292,a916),x95293),x95294))+~P1(f324(f324(f326(f927(x95291,x95292)),x95294),f324(f172(f927(x95291,x95292)),f324(f324(f181(x95291,x95292),x95295),x95296)))) % 194.45/194.28 [9670]~E(x96703,x96705)+P1(f324(f324(f326(f927(f921(x96701),f921(x96701))),f324(f324(f252(f921(x96701),f921(x96701)),f324(f324(f151(x96701),x96702),x96703)),f324(f324(f151(x96701),x96704),x96705))),f157(x96701,x96706)))+~P1(f324(f324(f326(f927(x96701,x96701)),f324(f324(f252(x96701,x96701),x96702),x96704)),x96706)) % 194.45/194.28 [9676]~E(f324(f190(f921(x96761)),x96763),f324(f190(f921(x96761)),x96765))+P1(f324(f324(f326(f927(f921(x96761),f921(x96761))),f324(f324(f252(f921(x96761),f921(x96761)),f324(f324(f151(x96761),x96762),x96763)),f324(f324(f151(x96761),x96764),x96765))),f145(x96761,x96766)))+~P1(f324(f324(f326(f927(x96761,x96761)),f324(f324(f252(x96761,x96761),x96762),x96764)),x96766)) % 194.45/194.28 [9708]P1(f324(f324(f326(f927(x97081,x97081)),f324(f324(f252(x97081,x97081),x97082),x97083)),f324(f324(f183(f927(x97081,x97081),a916),f324(a114,x97084)),x97085)))+~P1(f324(f324(f326(f927(x97081,x97081)),f324(f324(f252(x97081,x97081),x97086),x97083)),x97085))+~P1(f324(f324(f326(f927(x97081,x97081)),f324(f324(f252(x97081,x97081),x97082),x97086)),f324(f324(f183(f927(x97081,x97081),a916),x97084),x97085))) % 194.45/194.28 [9709]P1(f324(f324(f326(f927(x97091,x97091)),f324(f324(f252(x97091,x97091),x97092),x97093)),f324(f324(f183(f927(x97091,x97091),a916),f324(a114,x97094)),x97095)))+~P1(f324(f324(f326(f927(x97091,x97091)),f324(f324(f252(x97091,x97091),x97092),x97096)),x97095))+~P1(f324(f324(f326(f927(x97091,x97091)),f324(f324(f252(x97091,x97091),x97096),x97093)),f324(f324(f183(f927(x97091,x97091),a916),x97094),x97095))) % 194.45/194.28 [9712]~P1(f324(f324(f326(x97124),x97125),x97126))+P1(f324(f324(f234(f928(x97121,a916)),x97122),x97123))+~P1(f324(f324(f234(f928(f927(x97121,x97124),a916)),f324(f324(f254(x97121,x97124),x97122),f324(f18(f928(x97124,a916),x97121),x97126))),f324(f324(f254(x97121,x97124),x97123),f324(f18(f928(x97124,a916),x97121),x97126)))) % 194.45/194.28 [9757]E(x97571,x97572)+~P1(f324(f324(f326(f927(f921(x97573),f921(x97573))),f324(f324(f252(f921(x97573),f921(x97573)),f324(f324(f151(x97573),x97571),x97575)),f324(f324(f151(x97573),x97572),x97576))),f145(x97573,x97574)))+P1(f324(f324(f326(f927(x97573,x97573)),f324(f324(f252(x97573,x97573),x97571),x97572)),x97574)) % 194.45/194.28 [9758]E(x97581,x97582)+~P1(f324(f324(f326(f927(f921(x97583),f921(x97583))),f324(f324(f252(f921(x97583),f921(x97583)),f324(f324(f151(x97583),x97581),x97585)),f324(f324(f151(x97583),x97582),x97586))),f147(x97583,x97584)))+P1(f324(f324(f326(f927(x97583,x97583)),f324(f324(f252(x97583,x97583),x97581),x97582)),x97584)) % 194.45/194.28 [9759]E(x97591,x97592)+~P1(f324(f324(f326(f927(f921(x97593),f921(x97593))),f324(f324(f252(f921(x97593),f921(x97593)),f324(f324(f151(x97593),x97591),x97595)),f324(f324(f151(x97593),x97592),x97596))),f157(x97593,x97594)))+P1(f324(f324(f326(f927(x97593,x97593)),f324(f324(f252(x97593,x97593),x97591),x97592)),x97594)) % 194.45/194.28 [9796]P1(f324(f324(f326(f927(f921(x97961),f921(x97961))),f324(f324(f252(f921(x97961),f921(x97961)),f324(f324(f151(x97961),x97962),x97963)),f324(f324(f151(x97961),x97964),x97965))),f158(x97961,x97966)))+~P1(f324(f324(f326(f927(f921(x97961),f921(x97961))),f324(f324(f252(f921(x97961),f921(x97961)),x97963),x97965)),f158(x97961,x97966)))+~P1(f324(f324(f326(f927(x97961,x97961)),f324(f324(f252(x97961,x97961),x97962),x97964)),x97966)) % 194.45/194.28 [9813]P1(f324(x98131,x98132))+~P1(f324(x98131,f880(x98131,x98133,x98134,x98135,x98136)))+~P1(f324(f324(f326(x98136),x98132),f324(f324(f40(x98135,f928(x98136,a916)),x98134),x98133))) % 194.45/194.28 [9818]~P1(f324(f324(f326(f927(f921(x98181),f921(x98181))),f324(f324(f252(f921(x98181),f921(x98181)),f324(f324(f151(x98181),x98182),x98185)),f324(f324(f151(x98181),x98183),x98186))),f145(x98181,x98184)))+P1(f324(f324(f326(f927(f921(x98181),f921(x98181))),f324(f324(f252(f921(x98181),f921(x98181)),x98185),x98186)),f145(x98181,x98184)))+P1(f324(f324(f326(f927(x98181,x98181)),f324(f324(f252(x98181,x98181),x98182),x98183)),x98184)) % 194.45/194.28 [9819]~P1(f324(f324(f326(f927(f921(x98191),f921(x98191))),f324(f324(f252(f921(x98191),f921(x98191)),f324(f324(f151(x98191),x98192),x98195)),f324(f324(f151(x98191),x98193),x98196))),f147(x98191,x98194)))+P1(f324(f324(f326(f927(f921(x98191),f921(x98191))),f324(f324(f252(f921(x98191),f921(x98191)),x98195),x98196)),f147(x98191,x98194)))+P1(f324(f324(f326(f927(x98191,x98191)),f324(f324(f252(x98191,x98191),x98192),x98193)),x98194)) % 194.45/194.28 [9820]~P1(f324(f324(f326(f927(f921(x98201),f921(x98201))),f324(f324(f252(f921(x98201),f921(x98201)),f324(f324(f151(x98201),x98202),x98205)),f324(f324(f151(x98201),x98203),x98206))),f157(x98201,x98204)))+P1(f324(f324(f326(f927(f921(x98201),f921(x98201))),f324(f324(f252(f921(x98201),f921(x98201)),x98205),x98206)),f157(x98201,x98204)))+P1(f324(f324(f326(f927(x98201,x98201)),f324(f324(f252(x98201,x98201),x98202),x98203)),x98204)) % 194.45/194.28 [9909]P1(f324(x99091,x99092))+P1(f324(f324(f326(x99093),f881(x99091,x99094,x99095,x99093,x99096)),x99095))+~P1(f324(f324(f326(x99096),x99092),f324(f324(f40(x99093,f928(x99096,a916)),x99095),x99094))) % 194.45/194.28 [9920]~E(x99202,x99204)+P1(f324(f324(f326(f927(f921(x99201),f921(x99201))),f324(f324(f252(f921(x99201),f921(x99201)),f324(f324(f134(x99201),x99202),f324(f324(f151(x99201),x99203),f115(x99201)))),f324(f324(f134(x99201),x99204),f324(f324(f151(x99201),x99205),f115(x99201))))),f157(x99201,x99206)))+~P1(f324(f324(f326(f927(x99201,x99201)),f324(f324(f252(x99201,x99201),x99203),x99205)),x99206)) % 194.45/194.28 [9999]E(x99991,x99992)+~P1(f324(f324(f326(f927(f921(x99993),f921(x99993))),f324(f324(f252(f921(x99993),f921(x99993)),f324(f324(f134(x99993),x99995),f324(f324(f151(x99993),x99991),f115(x99993)))),f324(f324(f134(x99993),x99996),f324(f324(f151(x99993),x99992),f115(x99993))))),f157(x99993,x99994)))+P1(f324(f324(f326(f927(x99993,x99993)),f324(f324(f252(x99993,x99993),x99991),x99992)),x99994)) % 194.45/194.28 [10029]~P1(f324(f324(f326(f927(f921(x100291),f921(x100291))),f324(f324(f252(f921(x100291),f921(x100291)),f324(f324(f134(x100291),x100295),f324(f324(f151(x100291),x100292),f115(x100291)))),f324(f324(f134(x100291),x100296),f324(f324(f151(x100291),x100293),f115(x100291))))),f157(x100291,x100294)))+P1(f324(f324(f326(f927(f921(x100291),f921(x100291))),f324(f324(f252(f921(x100291),f921(x100291)),x100295),x100296)),f157(x100291,x100294)))+P1(f324(f324(f326(f927(x100291,x100291)),f324(f324(f252(x100291,x100291),x100292),x100293)),x100294)) % 194.45/194.28 [10048]P1(f324(x100481,x100482))+P1(f324(f324(f326(x100483),f880(x100481,x100484,x100485,x100486,x100483)),f324(x100484,f881(x100481,x100484,x100485,x100486,x100483))))+~P1(f324(f324(f326(x100483),x100482),f324(f324(f40(x100486,f928(x100483,a916)),x100485),x100484))) % 194.45/194.28 [9029]~P14(x90293,x90294,x90291)+~P1(f324(f61(x90293),x90296))+E(f324(f324(x90291,x90292),f324(f324(f64(x90293,x90294,x90291),x90295),f324(f324(f3(f928(x90293,a916)),x90296),f324(f324(f306(x90293),x90292),f189(f928(x90293,a916)))))),f324(f324(f64(x90293,x90294,x90291),x90295),f324(f324(f306(x90293),x90292),x90296))) % 194.45/194.28 [9338]~P1(f324(f324(f326(x93385),x93383),x93386))+P1(f324(f324(f234(f928(x93381,a916)),f324(x93382,x93383)),x93384))+~P1(f324(f324(f234(f928(x93381,a916)),f324(f324(f40(x93385,f928(x93381,a916)),x93386),x93382)),x93384)) % 194.45/194.28 [9973]~P5(x99731,x99735,x99734)+P1(f324(f324(f326(f927(x99731,x99731)),f324(f324(f252(x99731,x99731),x99732),x99733)),x99734))+~P1(f324(f324(f326(x99731),x99736),f324(f324(f103(f928(x99731,a916)),f324(f283(x99731,x99731,x99734),f324(f324(f306(x99731),x99732),f189(f928(x99731,a916))))),f324(f283(x99731,x99731,x99734),f324(f324(f306(x99731),x99733),f189(f928(x99731,a916))))))) % 194.45/194.28 [8751]~P124(x87512)+~E(f324(f324(f79(x87512),f324(f324(f80(x87512),x87514),x87515)),x87511),f324(f324(f79(x87512),f324(f324(f80(x87512),x87513),x87515)),x87516))+E(x87511,f324(f324(f79(x87512),f324(f324(f80(x87512),f324(f324(f3(x87512),x87513),x87514)),x87515)),x87516)) % 194.45/194.28 [8752]~P124(x87521)+~E(f324(f324(f79(x87521),f324(f324(f80(x87521),x87522),x87524)),x87525),f324(f324(f79(x87521),f324(f324(f80(x87521),x87523),x87524)),x87526))+E(f324(f324(f79(x87521),f324(f324(f80(x87521),f324(f324(f3(x87521),x87522),x87523)),x87524)),x87525),x87526) % 194.45/194.28 [8933]~P124(x89331)+E(f324(f324(f79(x89331),f324(f324(f80(x89331),x89332),x89333)),x89334),f324(f324(f79(x89331),f324(f324(f80(x89331),x89335),x89333)),x89336))+~E(x89336,f324(f324(f79(x89331),f324(f324(f80(x89331),f324(f324(f3(x89331),x89332),x89335)),x89333)),x89334)) % 194.45/194.28 [8934]~P124(x89341)+E(f324(f324(f79(x89341),f324(f324(f80(x89341),x89342),x89343)),x89344),f324(f324(f79(x89341),f324(f324(f80(x89341),x89345),x89343)),x89346))+~E(f324(f324(f79(x89341),f324(f324(f80(x89341),f324(f324(f3(x89341),x89342),x89345)),x89343)),x89344),x89346) % 194.45/194.28 [9264]~P1(f324(f324(x92644,x92645),x92646))+~P1(f324(f324(x92643,x92645),x92646))+P1(f324(f324(f324(f324(f103(f928(x92641,f928(x92642,a916))),x92643),x92644),x92645),x92646)) % 194.45/194.28 [9538]P1(f324(f324(x95381,x95382),x95383))+P1(f324(f324(x95384,x95382),x95383))+~P1(f324(f324(f324(f324(f112(f928(x95385,f928(x95386,a916))),x95384),x95381),x95382),x95383)) % 194.45/194.28 [9833]~P128(x98331)+~P1(f324(f324(f234(x98331),f324(f324(f79(x98331),f324(f324(f80(x98331),x98334),x98335)),x98332)),f324(f324(f79(x98331),f324(f324(f80(x98331),x98333),x98335)),x98336)))+P1(f324(f324(f234(x98331),x98332),f324(f324(f79(x98331),f324(f324(f80(x98331),f324(f324(f3(x98331),x98333),x98334)),x98335)),x98336))) % 194.45/194.28 [9834]~P128(x98341)+~P1(f324(f324(f235(x98341),f324(f324(f79(x98341),f324(f324(f80(x98341),x98344),x98345)),x98342)),f324(f324(f79(x98341),f324(f324(f80(x98341),x98343),x98345)),x98346)))+P1(f324(f324(f235(x98341),x98342),f324(f324(f79(x98341),f324(f324(f80(x98341),f324(f324(f3(x98341),x98343),x98344)),x98345)),x98346))) % 194.45/194.28 [9858]~P128(x98581)+P1(f324(f324(f234(x98581),f324(f324(f79(x98581),f324(f324(f80(x98581),x98582),x98583)),x98584)),f324(f324(f79(x98581),f324(f324(f80(x98581),x98585),x98583)),x98586)))+~P1(f324(f324(f234(x98581),x98584),f324(f324(f79(x98581),f324(f324(f80(x98581),f324(f324(f3(x98581),x98585),x98582)),x98583)),x98586))) % 194.45/194.28 [9859]~P128(x98591)+P1(f324(f324(f235(x98591),f324(f324(f79(x98591),f324(f324(f80(x98591),x98592),x98593)),x98594)),f324(f324(f79(x98591),f324(f324(f80(x98591),x98595),x98593)),x98596)))+~P1(f324(f324(f235(x98591),x98594),f324(f324(f79(x98591),f324(f324(f80(x98591),f324(f324(f3(x98591),x98595),x98592)),x98593)),x98596))) % 194.45/194.28 [9965]~P128(x99651)+~P1(f324(f324(f234(x99651),f324(f324(f79(x99651),f324(f324(f80(x99651),x99652),x99654)),x99655)),f324(f324(f79(x99651),f324(f324(f80(x99651),x99653),x99654)),x99656)))+P1(f324(f324(f234(x99651),f324(f324(f79(x99651),f324(f324(f80(x99651),f324(f324(f3(x99651),x99652),x99653)),x99654)),x99655)),x99656)) % 194.45/194.28 [9966]~P128(x99661)+~P1(f324(f324(f235(x99661),f324(f324(f79(x99661),f324(f324(f80(x99661),x99662),x99664)),x99665)),f324(f324(f79(x99661),f324(f324(f80(x99661),x99663),x99664)),x99666)))+P1(f324(f324(f235(x99661),f324(f324(f79(x99661),f324(f324(f80(x99661),f324(f324(f3(x99661),x99662),x99663)),x99664)),x99665)),x99666)) % 194.45/194.28 [10012]~P128(x100121)+P1(f324(f324(f234(x100121),f324(f324(f79(x100121),f324(f324(f80(x100121),x100122),x100123)),x100124)),f324(f324(f79(x100121),f324(f324(f80(x100121),x100125),x100123)),x100126)))+~P1(f324(f324(f234(x100121),f324(f324(f79(x100121),f324(f324(f80(x100121),f324(f324(f3(x100121),x100122),x100125)),x100123)),x100124)),x100126)) % 194.45/194.28 [10013]~P128(x100131)+P1(f324(f324(f235(x100131),f324(f324(f79(x100131),f324(f324(f80(x100131),x100132),x100133)),x100134)),f324(f324(f79(x100131),f324(f324(f80(x100131),x100135),x100133)),x100136)))+~P1(f324(f324(f235(x100131),f324(f324(f79(x100131),f324(f324(f80(x100131),f324(f324(f3(x100131),x100132),x100135)),x100133)),x100134)),x100136)) % 194.45/194.28 [10175]~P77(x101752)+~P1(f324(f61(x101751),x101756))+E(f324(f324(f8(x101751,x101752),f324(f324(f20(x101751,x101752,x101752),f324(f324(f20(x101751,x101752,f928(x101752,x101752)),f324(f324(f10(a916,f928(x101752,f928(x101752,x101752)),x101751),f96(x101752)),x101753)),x101754)),x101755)),x101756),f324(f324(f79(x101752),f324(f324(f8(x101751,x101752),x101754),f324(f324(f103(f928(x101751,a916)),x101756),f324(f262(x101751),x101753)))),f324(f324(f8(x101751,x101752),x101755),f324(f324(f103(f928(x101751,a916)),x101756),f324(f78(f928(x101751,a916)),f324(f262(x101751),x101753)))))) % 194.45/194.28 [10233]P1(f324(f324(f326(x102332),x102334),x102336))+P1(f324(f324(f326(x102332),x102335),x102336))+E(f324(f308(x102331,x102332,f324(f324(f9(x102331,x102332,x102332),f324(f324(f9(x102331,x102332,f928(x102332,x102332)),f324(f324(f10(a916,f928(x102332,f928(x102332,x102332)),x102331),f96(x102332)),f324(f324(f9(x102331,f928(x102331,a916),a916),f326(x102331)),x102333))),x102334)),x102335)),x102336),f189(f928(x102331,a916))) % 194.45/194.28 [10234]P1(f324(f324(f326(x102342),x102345),x102346))+~P1(f324(f324(f326(x102342),x102344),x102346))+E(f324(f308(x102341,x102342,f324(f324(f9(x102341,x102342,x102342),f324(f324(f9(x102341,x102342,f928(x102342,x102342)),f324(f324(f10(a916,f928(x102342,f928(x102342,x102342)),x102341),f96(x102342)),f324(f324(f9(x102341,f928(x102341,a916),a916),f326(x102341)),x102343))),x102344)),x102345)),x102346),x102343) % 194.45/194.28 [10235]P1(f324(f324(f326(x102352),x102354),x102356))+~P1(f324(f324(f326(x102352),x102355),x102356))+E(f324(f308(x102351,x102352,f324(f324(f9(x102351,x102352,x102352),f324(f324(f9(x102351,x102352,f928(x102352,x102352)),f324(f324(f10(a916,f928(x102352,f928(x102352,x102352)),x102351),f96(x102352)),f324(f324(f9(x102351,f928(x102351,a916),a916),f326(x102351)),x102353))),x102354)),x102355)),x102356),f324(f78(f928(x102351,a916)),x102353)) % 194.45/194.28 [10236]~P1(f324(f324(f326(x102362),x102364),x102366))+~P1(f324(f324(f326(x102362),x102365),x102366))+E(f324(f308(x102361,x102362,f324(f324(f9(x102361,x102362,x102362),f324(f324(f9(x102361,x102362,f928(x102362,x102362)),f324(f324(f10(a916,f928(x102362,f928(x102362,x102362)),x102361),f96(x102362)),f324(f324(f9(x102361,f928(x102361,a916),a916),f326(x102361)),x102363))),x102364)),x102365)),x102366),f242(f928(x102361,a916))) % 194.45/194.28 [8784]E(x87841,x87842)+~P57(x87844,x87845,x87843,x87846,x87847)+~E(f324(x87843,x87841),f324(x87843,x87842)) % 194.45/194.28 [8813]~P7(x88136,x88135,x88137,x88134,x88131)+E(f324(f324(x88131,x88132),x88133),x88134)+P1(f324(f61(x88135),x88133)) % 194.45/194.28 [9699]P42(x96991,x96992,x96993,x96994,x96995,f324(f324(x96993,x96996),x96997))+~E(f324(f324(x96993,x96996),x96997),x96994)+~E(x96995,f189(f928(x96991,a916))) % 194.45/194.28 [9881]~P1(f324(x98816,x98813))+~P1(f324(f324(f326(f927(x98812,x98812)),f324(f324(f252(x98812,x98812),x98814),x98815)),f324(x98817,x98813)))+P1(f324(f324(f326(f927(f927(x98811,x98812),f927(x98811,x98812))),f324(f324(f252(f927(x98811,x98812),f927(x98811,x98812)),f324(f324(f252(x98811,x98812),x98813),x98814)),f324(f324(f252(x98811,x98812),x98813),x98815))),f278(x98811,x98812,x98816,x98817))) % 194.45/194.28 [10299]~P42(x102992,x102997,x102993,x102996,x102991,f324(f324(x102993,x102995),x102994))+E(f324(f324(x102993,f787(x102994,x102995,x102991,x102996,x102993,x102997,x102992)),f799(x102994,x102995,x102991,x102996,x102993,x102997,x102992)),f324(f324(x102993,x102995),x102994))+E(x102991,f189(f928(x102992,a916))) % 194.45/194.28 [10300]~P42(x103007,x103006,x103001,x103004,x103005,f324(f324(x103001,x103002),x103003))+E(f324(f324(x103001,f787(x103003,x103002,x103005,x103004,x103001,x103006,x103007)),f799(x103003,x103002,x103005,x103004,x103001,x103006,x103007)),f324(f324(x103001,x103002),x103003))+E(f324(f324(x103001,x103002),x103003),x103004) % 194.45/194.28 [9374]~P32(x93741,x93742,x93743,x93745,x93747)+P32(x93741,x93742,x93743,f324(f324(f151(x93741),x93744),x93745),f324(f324(f151(x93742),x93746),x93747))+~P1(f324(f324(x93743,x93744),x93746)) % 194.45/194.28 [9390]P32(x93901,x93902,x93903,x93904,x93905)+~P32(x93901,x93902,x93903,f324(f324(f134(x93901),x93906),x93904),f324(f324(f134(x93902),x93907),x93905))+~E(f324(f190(f921(x93901)),x93906),f324(f190(f921(x93902)),x93907)) % 194.45/194.28 [9391]P32(x93911,x93912,x93913,x93914,x93915)+~P32(x93911,x93912,x93913,f324(f324(f134(x93911),x93914),x93916),f324(f324(f134(x93912),x93915),x93917))+~E(f324(f190(f921(x93911)),x93914),f324(f190(f921(x93912)),x93915)) % 194.45/194.28 [9604]~P32(x96041,x96042,x96043,x96045,x96047)+~P32(x96041,x96042,x96043,x96044,x96046)+P32(x96041,x96042,x96043,f324(f324(f134(x96041),x96044),x96045),f324(f324(f134(x96042),x96046),x96047)) % 194.45/194.28 [9955]~P1(f324(f66(x99551,x99554,x99555,x99556,x99553),x99557))+P1(f324(f66(x99551,x99554,x99555,x99556,f324(f324(f306(x99551),x99552),x99553)),f324(f324(x99555,x99552),x99557)))+P1(f324(f324(f326(x99551),x99552),x99553)) % 194.45/194.28 [10324]~P42(x103242,x103247,x103246,x103245,x103241,f324(f324(x103246,x103244),x103243))+E(x103241,f189(f928(x103242,a916)))+P1(f324(f324(f326(x103242),f787(x103243,x103244,x103241,x103245,x103246,x103247,x103242)),x103241)) % 194.45/194.28 [10325]~P42(x103255,x103257,x103251,x103254,x103256,f324(f324(x103251,x103252),x103253))+E(f324(f324(x103251,x103252),x103253),x103254)+P1(f324(f324(f326(x103255),f787(x103253,x103252,x103256,x103254,x103251,x103257,x103255)),x103256)) % 194.45/194.28 [9056]~P19(x90564,x90565,x90566,x90567,x90561)+~P1(f324(f61(x90565),x90563))+E(f324(f324(x90561,x90562),x90563),f324(f324(f324(f65(x90564,x90565,x90566),x90562),x90567),x90563)) % 194.45/194.28 [9057]~P7(x90574,x90575,x90576,x90577,x90571)+~P1(f324(f61(x90575),x90573))+E(f324(f324(x90571,x90572),x90573),f324(f324(f324(f65(x90574,x90575,x90576),x90572),x90577),x90573)) % 194.45/194.28 [9663]~P11(x96631,x96632,f324(f324(f306(f919(x96631)),f324(f324(f324(f90(x96631),x96633),x96634),x96637)),f189(f928(f919(x96631),a916))))+P11(x96631,x96632,f324(f324(f306(f919(x96631)),f324(f324(f324(f90(x96631),x96633),f30(x96634,x96635)),x96636)),f189(f928(f919(x96631),a916))))+~P11(x96631,x96632,f324(f324(f306(f919(x96631)),f324(f324(f324(f90(x96631),x96637),x96635),x96636)),f189(f928(f919(x96631),a916)))) % 194.45/194.28 [9852]~P21(x98523,x98524,x98525,x98527,x98526,x98521)+~P1(f324(f61(x98524),x98522))+E(f324(x98521,x98522),f324(f324(f324(f65(x98523,x98524,x98525),x98526),x98527),x98522)) % 194.45/194.28 [10007]P42(x100071,x100072,x100073,x100074,x100075,f324(f324(x100073,x100076),x100077))+~P42(x100071,x100072,x100073,x100074,f324(f324(f3(f928(x100071,a916)),x100075),f324(f324(f306(x100071),x100076),f189(f928(x100071,a916)))),x100077)+~P1(f324(f324(f326(x100071),x100076),x100075)) % 194.45/194.28 [10268]~P11(x102681,x102682,f324(f324(f306(f919(x102681)),f324(f324(f324(f90(x102681),f92(x102681,x102683,x102684)),x102685),x102687)),f189(f928(f919(x102681),a916))))+P11(x102681,x102682,f324(f324(f306(f919(x102681)),f324(f324(f324(f90(x102681),x102683),f27(x102684,x102685,x102686)),x102687)),f189(f928(f919(x102681),a916))))+~P11(x102681,x102682,f324(f324(f306(f919(x102681)),f324(f324(f324(f90(x102681),f92(x102681,x102683,f324(f72(a916,a916,a918,a319),x102684))),x102686),x102687)),f189(f928(f919(x102681),a916)))) % 194.45/194.28 [10347]P1(f324(f324(x103477,f817(x103474,x103475,x103471,x103476,x103473,x103472,x103477)),f818(x103474,x103475,x103471,x103476,x103473,x103472,x103477)))+~P1(f324(f324(x103477,f324(f256(x103472,x103473),x103476)),f324(f251(x103472,x103473),x103476)))+P1(f324(x103471,f324(f324(f257(x103472,x103473,x103474),x103475),x103476))) % 194.45/194.28 [10357]~P42(x103572,x103573,x103574,x103575,x103571,f324(f324(x103574,x103577),x103576))+P42(x103572,x103573,x103574,x103575,f324(f324(f3(f928(x103572,a916)),x103571),f324(f324(f306(x103572),f787(x103576,x103577,x103571,x103575,x103574,x103573,x103572)),f189(f928(x103572,a916)))),f799(x103576,x103577,x103571,x103575,x103574,x103573,x103572))+E(x103571,f189(f928(x103572,a916))) % 194.45/194.28 [10358]~P42(x103585,x103586,x103581,x103584,x103587,f324(f324(x103581,x103582),x103583))+P42(x103585,x103586,x103581,x103584,f324(f324(f3(f928(x103585,a916)),x103587),f324(f324(f306(x103585),f787(x103583,x103582,x103587,x103584,x103581,x103586,x103585)),f189(f928(x103585,a916)))),f799(x103583,x103582,x103587,x103584,x103581,x103586,x103585))+E(f324(f324(x103581,x103582),x103583),x103584) % 194.45/194.28 [10381]~P1(f324(x103811,f324(f324(x103815,f818(x103814,x103815,x103811,x103816,x103813,x103812,x103817)),f817(x103814,x103815,x103811,x103816,x103813,x103812,x103817))))+~P1(f324(f324(x103817,f324(f256(x103812,x103813),x103816)),f324(f251(x103812,x103813),x103816)))+P1(f324(x103811,f324(f324(f257(x103812,x103813,x103814),x103815),x103816))) % 194.45/194.28 [9684]P1(f324(f324(f234(f928(f927(x96841,x96842),a916)),f324(f324(f286(x96841,x96843,x96842),x96844),x96845)),f324(f324(f286(x96841,x96843,x96842),x96846),x96847)))+~P1(f324(f324(f234(f928(f927(x96843,x96842),a916)),x96845),x96847))+~P1(f324(f324(f234(f928(f927(x96841,x96843),a916)),x96844),x96846)) % 194.45/194.28 [10018]~P1(f324(f324(f326(x100181),x100186),x100185))+P1(f324(f66(x100181,x100182,x100183,x100184,x100185),f324(f324(x100183,x100186),x100187)))+~P1(f324(f66(x100181,x100182,x100183,x100184,f324(f324(f3(f928(x100181,a916)),x100185),f324(f324(f306(x100181),x100186),f189(f928(x100181,a916))))),x100187)) % 194.45/194.28 [10415]~P146(x104151)+~P22(f927(x104152,x104153),x104151,f324(f257(x104152,x104153,x104151),f324(f324(f9(x104152,f928(x104153,x104151),f928(x104153,x104151)),f324(f324(f10(f928(x104151,x104151),f928(f928(x104153,x104151),f928(x104153,x104151)),x104152),f10(x104151,x104151,x104153)),f324(f324(f10(x104151,f928(x104151,x104151),x104152),f80(x104151)),x104154))),x104155)),f324(f324(f254(x104152,x104153),x104156),f324(f18(f928(x104153,a916),x104152),x104157)))+E(f324(f324(f8(x104151,x104151),f31(x104151)),f324(f262(x104151),f324(f324(f10(f928(x104152,a916),a916,x104151),f86(x104152)),f324(f324(f10(f928(x104152,f928(x104153,a916)),f928(x104152,a916),x104151),f324(f10(f928(x104153,a916),a916,x104152),f86(x104153))),f324(f324(f9(x104151,f928(x104152,f928(x104153,a916)),f928(x104152,f928(x104153,a916))),f324(f324(f10(f928(x104152,f928(f928(x104153,a916),f928(x104153,a916))),f928(f928(x104152,f928(x104153,a916)),f928(x104152,f928(x104153,a916))),x104151),f20(x104152,f928(x104153,a916),f928(x104153,a916))),f324(f324(f10(f928(x104152,f928(x104153,f928(a916,a916))),f928(x104152,f928(f928(x104153,a916),f928(x104153,a916))),x104151),f324(f10(f928(x104153,f928(a916,a916)),f928(f928(x104153,a916),f928(x104153,a916)),x104152),f20(x104153,a916,a916))),f324(f324(f10(f928(x104152,f928(x104153,a916)),f928(x104152,f928(x104153,f928(a916,a916))),x104151),f324(f10(f928(x104153,a916),f928(x104153,f928(a916,a916)),x104152),f324(f10(a916,f928(a916,a916),x104153),a322))),f324(f324(f9(x104151,f928(x104152,f928(x104153,x104151)),f928(x104152,f928(x104153,a916))),f324(f324(f10(f928(f928(x104153,x104151),f928(x104153,a916)),f928(f928(x104152,f928(x104153,x104151)),f928(x104152,f928(x104153,a916))),x104151),f10(f928(x104153,x104151),f928(x104153,a916),x104152)),f324(f324(f10(f928(x104151,a916),f928(f928(x104153,x104151),f928(x104153,a916)),x104151),f10(x104151,a916,x104153)),a321))),f324(f324(f9(x104152,f928(x104153,x104151),f928(x104153,x104151)),f324(f324(f10(f928(x104151,x104151),f928(f928(x104153,x104151),f928(x104153,x104151)),x104152),f10(x104151,x104151,x104153)),f324(f324(f10(x104151,f928(x104151,x104151),x104152),f80(x104151)),x104154))),x104155)))))),f324(f324(f9(x104152,f928(x104153,a916),f928(x104153,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x104153,a916),f928(x104153,a916)),x104152),f10(a916,a916,x104153)),f324(f324(f10(a916,f928(a916,a916),x104152),a322),f324(f324(f9(x104152,f928(x104152,a916),a916),f326(x104152)),x104156)))),f324(f324(f9(x104153,f928(x104153,a916),a916),f326(x104153)),x104157))))))),f324(f324(f80(x104151),f324(f324(f8(x104152,x104151),x104154),x104156)),f324(f324(f8(x104153,x104151),x104155),x104157))) % 194.45/194.28 [9688]~P23(x96881,x96883,x96885,x96886,x96888)+~P23(x96883,x96882,x96884,x96888,x96887)+P23(x96881,x96882,f324(f72(x96883,x96882,x96881,x96884),x96885),x96886,x96887) % 194.45/194.28 [9717]P23(x97171,x97172,x97173,x97174,x97175)+~P23(x97176,x97171,x97177,x97178,x97174)+~P23(x97176,x97172,f324(f72(x97171,x97172,x97176,x97173),x97177),x97178,x97175) % 194.45/194.28 [9850]~P1(f324(f324(x98504,x98506),x98508))+~P1(f324(f324(x98505,x98508),x98507))+P1(f324(f324(f253(x98501,x98502,x98503,x98504,x98505),x98506),x98507)) % 194.45/194.28 [9442]~P17(x94428,x94421,x94423,x94425)+~P1(f324(f61(x94428),x94426))+E(f324(f72(x94421,x94421,x94422,f324(x94423,x94424)),f324(f72(x94421,x94421,x94422,f324(x94425,x94426)),x94427)),f324(f72(x94421,x94421,x94422,f324(x94425,x94426)),f324(f72(x94421,x94421,x94422,f324(x94423,x94424)),x94427))) % 194.45/194.28 [9840]~P20(x98407,x98402,x98405,x98408,x98406,x98401)+~P1(f324(f61(x98402),x98404))+E(f324(x98401,f324(f324(f306(x98402),x98403),x98404)),f324(f324(x98405,f324(x98406,x98403)),f324(x98401,x98404))) % 194.45/194.28 [9962]~P22(x99622,x99624,x99626,x99628)+~P22(x99621,x99623,x99625,x99627)+P22(f927(x99621,x99622),f927(x99623,x99624),f258(x99621,x99623,x99622,x99624,x99625,x99626),f324(f324(f254(x99621,x99622),x99627),f324(f18(f928(x99622,a916),x99621),x99628))) % 194.45/194.28 [9631]P1(f324(f324(f326(f927(x96311,x96312)),f324(f324(f252(x96311,x96312),x96313),x96314)),f324(f324(f286(x96311,x96315,x96312),x96316),x96317)))+~P1(f324(f324(f326(f927(x96311,x96315)),f324(f324(f252(x96311,x96315),x96313),x96318)),x96316))+~P1(f324(f324(f326(f927(x96315,x96312)),f324(f324(f252(x96315,x96312),x96318),x96314)),x96317)) % 194.45/194.28 [9821]~P1(f324(f324(f234(f928(f927(x98213,x98212),a916)),x98215),f324(f324(f254(x98213,x98212),x98218),f324(f18(f928(x98212,a916),x98213),x98217))))+~P1(f324(f324(f234(f928(f927(x98211,x98213),a916)),x98214),f324(f324(f254(x98211,x98213),x98216),f324(f18(f928(x98213,a916),x98211),x98218))))+P1(f324(f324(f234(f928(f927(x98211,x98212),a916)),f324(f324(f286(x98211,x98213,x98212),x98214),x98215)),f324(f324(f254(x98211,x98212),x98216),f324(f18(f928(x98212,a916),x98211),x98217)))) % 194.45/194.28 [9875]~E(x98753,x98755)+P1(f324(f324(f326(f927(f927(x98751,x98752),f927(x98751,x98752))),f324(f324(f252(f927(x98751,x98752),f927(x98751,x98752)),f324(f324(f252(x98751,x98752),x98753),x98754)),f324(f324(f252(x98751,x98752),x98755),x98756))),f317(x98751,x98752,x98757,x98758)))+~P1(f324(f324(f326(f927(x98752,x98752)),f324(f324(f252(x98752,x98752),x98754),x98756)),x98758)) % 194.45/194.28 [9982]E(x99821,x99822)+~P1(f324(f324(f326(f927(f927(x99823,x99825),f927(x99823,x99825))),f324(f324(f252(f927(x99823,x99825),f927(x99823,x99825)),f324(f324(f252(x99823,x99825),x99821),x99826)),f324(f324(f252(x99823,x99825),x99822),x99827))),f317(x99823,x99825,x99824,x99828)))+P1(f324(f324(f326(f927(x99823,x99823)),f324(f324(f252(x99823,x99823),x99821),x99822)),x99824)) % 194.45/194.28 [9998]~P1(f324(f324(f326(f927(f927(x99981,x99985),f927(x99981,x99985))),f324(f324(f252(f927(x99981,x99985),f927(x99981,x99985)),f324(f324(f252(x99981,x99985),x99982),x99986)),f324(f324(f252(x99981,x99985),x99983),x99987))),f317(x99981,x99985,x99984,x99988)))+P1(f324(f324(f326(f927(x99981,x99981)),f324(f324(f252(x99981,x99981),x99982),x99983)),x99984))+P1(f324(f324(f326(f927(x99985,x99985)),f324(f324(f252(x99985,x99985),x99986),x99987)),x99988)) % 194.45/194.28 [9910]~P21(x99107,x99105,x99101,x99108,x99102,x99104)+~P1(f324(f61(x99105),x99106))+E(f324(f324(x99101,f324(x99102,x99103)),f324(x99104,f324(f324(f3(f928(x99105,a916)),x99106),f324(f324(f306(x99105),x99103),f189(f928(x99105,a916)))))),f324(x99104,f324(f324(f306(x99105),x99103),x99106))) % 194.45/194.28 [9396]~P1(f324(f324(f324(x93965,x93968),x93966),x93967))+~P1(f324(f324(f326(x93961),x93968),x93964))+P1(f324(f324(f324(f324(f40(x93961,f928(x93962,f928(x93963,a916))),x93964),x93965),x93966),x93967)) % 194.45/194.28 [9615]P1(f324(f324(f324(x96151,x96152),x96153),x96154))+~P1(f324(f324(f326(x96155),x96152),x96156))+~P1(f324(f324(f324(f324(f39(x96155,f928(x96157,f928(x96158,a916))),x96156),x96151),x96153),x96154)) % 194.45/194.28 [9814]~P19(x98143,x98142,x98144,x98148,x98141)+~P1(f324(f61(x98142),x98147))+E(f324(f324(x98141,f324(f324(f20(x98142,x98143,x98143),f324(f324(f10(x98143,f928(x98143,x98143),x98142),x98144),x98145)),x98146)),x98147),f324(f324(x98144,f324(f324(x98141,x98145),x98147)),f324(f324(x98141,x98146),x98147))) % 194.45/194.28 [10082]~E(f324(f307(x100822,x100824,x100826),x100828),x1008210)+~E(f324(f307(x100821,x100823,x100825),x100827),x100829)+E(f324(f307(f927(x100821,x100822),f927(x100823,x100824),f258(x100821,x100823,x100822,x100824,x100825,x100826)),f324(f324(f254(x100821,x100822),x100827),f324(f18(f928(x100822,a916),x100821),x100828))),f324(f324(f254(x100823,x100824),x100829),f324(f18(f928(x100824,a916),x100823),x1008210))) % 194.45/194.28 [5009]~P48(x50091,x50092)+~P50(x50091,x50092)+~P51(x50091,x50092)+P4(x50091,x50092) % 194.45/194.28 [4965]~P112(x49652)+~P10(x49652,x49651)+P10(x49652,f116(x49652,x49651))+E(x49651,f115(x49652)) % 194.45/194.28 [4966]~P112(x49662)+~P10(x49662,x49661)+P10(x49662,f737(x49661,x49662))+E(x49661,f115(x49662)) % 194.45/194.28 [5207]~P2(x52072)+E(f12(x52072,x52071),f38(x52072,x52071))+E(x52071,f189(f928(x52072,a916)))+~P1(f324(f61(x52072),x52071)) % 194.45/194.28 [5208]~P2(x52082)+E(f15(x52082,x52081),f37(x52082,x52081))+E(x52081,f189(f928(x52082,a916)))+~P1(f324(f61(x52082),x52081)) % 194.45/194.28 [5372]~P112(x53722)+~P10(x53722,x53721)+E(x53721,f115(x53722))+E(f324(f324(f151(x53722),f757(x53721,x53722)),f737(x53721,x53722)),x53721) % 194.45/194.28 [6181]~P105(x61812)+E(x61811,f189(f928(x61812,a916)))+P1(f324(f324(f234(x61812),f12(x61812,x61811)),f15(x61812,x61811)))+~P1(f324(f61(x61812),x61811)) % 194.45/194.28 [6193]~P39(x61932)+~P39(x61931)+E(x61931,x61932)+~E(f324(f307(a1,a920,a106),x61931),f324(f307(a1,a920,a106),x61932)) % 194.45/194.28 [9243]~P125(x92431)+~P1(f324(f324(f326(x92431),x92432),f111(x92431)))+P1(f324(f324(f235(x92431),f324(f324(f79(x92431),f324(f324(f79(x92431),f77(x92431)),x92432)),x92432)),f2(x92431)))+~P1(f324(f324(f235(x92431),x92432),f2(x92431))) % 194.45/194.28 [9498]~P125(x94981)+~P1(f324(f324(f326(x94981),x94982),f111(x94981)))+~P1(f324(f324(f235(x94981),f324(f324(f79(x94981),f324(f324(f79(x94981),f77(x94981)),x94982)),x94982)),f2(x94981)))+P1(f324(f324(f235(x94981),x94982),f2(x94981))) % 194.45/194.28 [5024]~P119(x50242)+~P146(x50242)+E(x50241,f2(a920))+E(f324(f324(f244(x50242),f2(x50242)),x50241),f2(x50242)) % 194.45/194.28 [5027]~P119(x50271)+~P146(x50271)+~E(x50272,f2(a920))+E(f324(f324(f244(x50271),f2(x50271)),x50272),f77(x50271)) % 194.45/194.28 [5193]~P143(x51932)+E(x51931,f77(x51932))+E(x51931,f324(f78(x51932),f77(x51932)))+~E(f324(f324(f80(x51932),x51931),x51931),f77(x51932)) % 194.45/194.28 [5453]~P97(x54532)+E(x54531,f2(x54532))+E(f81(x54532,x54531),f324(f78(x54532),f77(x54532)))+P1(f324(f324(f235(x54532),f2(x54532)),x54531)) % 194.45/194.28 [5690]~P97(x56902)+E(f81(x56902,x56901),f77(x56902))+E(x56901,f2(x56902))+~P1(f324(f324(f235(x56902),f2(x56902)),x56901)) % 194.45/194.28 [5699]E(x56991,x56992)+~E(f324(f105(a920),x56991),f324(f105(a920),x56992))+P1(f324(a194,f324(f105(a1),x56992)))+P1(f324(a194,f324(f105(a1),x56991))) % 194.45/194.28 [5750]~P100(x57501)+~E(x57502,f2(x57501))+E(f324(f324(f79(x57501),x57502),x57502),f2(x57501))+~P1(f324(f324(f326(x57501),x57502),f111(x57501))) % 194.45/194.28 [5790]E(x57901,f2(a1))+~E(f324(f324(f36(a1),x57902),x57901),f2(a1))+P1(f324(f324(f235(a1),x57901),x57902))+P1(f324(f324(f235(a1),x57902),x57901)) % 194.45/194.28 [5820]E(x58201,f2(a1))+~E(f324(f324(f36(a1),x58202),x58201),f2(a1))+P1(f324(f324(f234(a1),x58202),f2(a1)))+P1(f324(f324(f235(a1),x58202),x58201)) % 194.45/194.28 [5854]E(x58541,f2(a1))+~E(f324(f324(f36(a1),x58542),x58541),f2(a1))+P1(f324(f324(f234(a1),f2(a1)),x58542))+P1(f324(f324(f235(a1),x58541),x58542)) % 194.45/194.28 [5888]~P100(x58882)+E(x58881,f2(x58882))+~E(f324(f324(f79(x58882),x58881),x58881),f2(x58882))+~P1(f324(f324(f326(x58882),x58881),f111(x58882))) % 194.45/194.28 [5949]E(f324(f105(a920),x59491),f324(f105(a920),x59492))+~E(f324(f105(a1),x59492),f2(a1))+P1(f324(a194,f324(f105(a1),x59492)))+~P1(f324(a194,f324(f105(a1),x59491))) % 194.45/194.28 [5981]~E(f324(f105(a920),x59812),f324(f105(a920),x59811))+E(f324(f105(a1),x59811),f2(a1))+P1(f324(a194,f324(f105(a1),x59811)))+~P1(f324(a194,f324(f105(a1),x59812))) % 194.45/194.28 [5992]~P112(x59922)+E(x59921,f189(f928(x59922,a916)))+~P1(f324(f61(x59922),x59921))+P1(f324(f324(f326(x59922),f16(x59922,x59921)),x59921)) % 194.45/194.28 [5993]~P112(x59932)+E(x59931,f189(f928(x59932,a916)))+~P1(f324(f61(x59932),x59931))+P1(f324(f324(f326(x59932),f17(x59932,x59931)),x59931)) % 194.45/194.28 [6158]~P125(x61581)+~P102(x61581)+P1(f324(f324(f234(x61581),f2(x61581)),f324(f105(x61581),x61582)))+~P1(f324(f324(f234(a1),a82),x61582)) % 194.45/194.28 [6159]~P125(x61591)+~P102(x61591)+P1(f324(f324(f235(x61591),f2(x61591)),f324(f105(x61591),x61592)))+~P1(f324(f324(f235(a1),a82),x61592)) % 194.45/194.28 [6180]~P125(x61801)+~P102(x61801)+E(f324(f75(x61801),f324(f105(x61801),x61802)),f324(f105(x61801),x61802))+P1(f324(f324(f235(x61801),f324(f105(x61801),x61802)),f2(x61801))) % 194.45/194.28 [6217]E(x62171,x62172)+~E(f324(a106,x62171),f324(a106,x62172))+~P1(f324(f324(f234(a1),f2(a1)),x62172))+~P1(f324(f324(f234(a1),f2(a1)),x62171)) % 194.45/194.28 [6413]~P102(x64132)+~P125(x64132)+~P1(f324(f324(f234(x64132),f2(x64132)),f324(f105(x64132),x64131)))+P1(f324(f324(f234(a1),a82),x64131)) % 194.45/194.28 [6414]~P102(x64142)+~P125(x64142)+~P1(f324(f324(f235(x64142),f2(x64142)),f324(f105(x64142),x64141)))+P1(f324(f324(f235(a1),a82),x64141)) % 194.45/194.28 [6419]~P125(x64191)+~P102(x64191)+P1(f324(f324(f234(x64191),f324(f105(x64191),x64192)),f2(x64191)))+~P1(f324(f324(f234(a1),x64192),a82)) % 194.45/194.28 [6420]~P125(x64201)+~P102(x64201)+P1(f324(f324(f235(x64201),f324(f105(x64201),x64202)),f2(x64201)))+~P1(f324(f324(f235(a1),x64202),a82)) % 194.45/194.28 [6738]~P102(x67382)+~P125(x67382)+~P1(f324(f324(f234(x67382),f324(f105(x67382),x67381)),f2(x67382)))+P1(f324(f324(f234(a1),x67381),a82)) % 194.45/194.28 [6739]~P102(x67392)+~P125(x67392)+~P1(f324(f324(f235(x67392),f324(f105(x67392),x67391)),f2(x67392)))+P1(f324(f324(f235(a1),x67391),a82)) % 194.45/194.28 [6829]~P125(x68291)+~P102(x68291)+E(f324(f75(x68291),f324(f105(x68291),x68292)),f324(f78(x68291),f324(f105(x68291),x68292)))+~P1(f324(f324(f235(x68291),f324(f105(x68291),x68292)),f2(x68291))) % 194.45/194.28 [6848]E(f324(f105(a920),x68481),f324(f105(a920),x68482))+~E(f324(f105(a1),x68482),f2(a1))+~P1(f324(f324(f234(a1),f324(f105(a1),x68481)),f2(a1)))+~P1(f324(a194,f324(f105(a1),x68481))) % 194.45/194.28 [7731]~P112(x77312)+E(x77311,f189(f928(x77312,a916)))+~P1(f324(f61(x77312),x77311))+P1(f324(f324(f234(x77312),f13(x77312,f188(x77312),x77311)),f14(x77312,f233(x77312),x77311))) % 194.45/194.28 [8052]~P3(x80521)+~P39(x80522)+P1(f324(f324(f326(a1),x80521),x80522))+~P1(f324(f324(f326(a920),f324(a106,x80521)),f324(f307(a1,a920,a106),x80522))) % 194.45/194.28 [5987]~P144(x59872)+E(x59871,f2(a1))+E(f324(f78(x59872),f324(f104(x59872),f324(f78(a1),x59871))),f324(f104(x59872),x59871))+~P1(f324(f324(f235(a1),x59871),f2(a1))) % 194.45/194.28 [6061]~P100(x60611)+~P102(x60611)+~P27(x60611,f324(f105(x60611),x60612))+P27(x60611,f324(f105(x60611),f324(f324(f79(a1),x60612),x60612))) % 194.45/194.28 [6402]~P82(x64022)+E(x64021,f189(f928(x64022,a916)))+E(f17(x64022,f324(f307(x64022,x64022,f78(x64022)),x64021)),f324(f78(x64022),f16(x64022,x64021)))+~P1(f324(f61(x64022),x64021)) % 194.45/194.28 [6403]~P82(x64032)+E(x64031,f189(f928(x64032,a916)))+E(f16(x64032,f324(f307(x64032,x64032,f78(x64032)),x64031)),f324(f78(x64032),f17(x64032,x64031)))+~P1(f324(f61(x64032),x64031)) % 194.45/194.28 [6436]~P100(x64361)+~P102(x64361)+P27(x64361,f324(f105(x64361),x64362))+~P27(x64361,f324(f105(x64361),f324(f324(f79(a1),x64362),x64362))) % 194.45/194.28 [6527]E(x65271,f2(a1))+E(f324(a51,f50(f324(f78(a1),x65271),f324(f78(a1),x65272))),f46(x65271,x65272))+P1(f324(f324(f234(a1),f2(a1)),x65272))+~P1(f324(f324(f234(a1),f2(a1)),x65271)) % 194.45/194.28 [8840]~P39(x88402)+~P39(x88401)+P1(f324(f324(f235(f928(a920,a916)),f324(f307(a1,a920,a106),x88401)),f324(f307(a1,a920,a106),x88402)))+~P1(f324(f324(f235(f928(a1,a916)),x88401),x88402)) % 194.45/194.28 [9074]~E(f760(x90742,x90741),f761(x90742,x90741))+~P1(f324(f137(x90741),f762(x90742,x90741)))+~P1(f324(f137(f921(x90741)),x90742))+P1(f324(f137(x90741),f324(f142(f921(x90741),f921(x90741),f134(x90741),f115(x90741)),x90742))) % 194.45/194.28 [9160]~P39(x91602)+~P39(x91601)+~P1(f324(f324(f234(f928(a920,a916)),f324(f307(a1,a920,a106),x91601)),f324(f307(a1,a920,a106),x91602)))+P1(f324(f324(f234(f928(a1,a916)),x91601),x91602)) % 194.45/194.28 [9161]~P39(x91612)+~P39(x91611)+~P1(f324(f324(f235(f928(a920,a916)),f324(f307(a1,a920,a106),x91611)),f324(f307(a1,a920,a106),x91612)))+P1(f324(f324(f235(f928(a1,a916)),x91611),x91612)) % 194.45/194.28 [9167]~E(f760(x91672,x91671),f761(x91672,x91671))+~P1(f324(f137(f921(x91671)),x91672))+P1(f324(f137(x91671),f324(f142(f921(x91671),f921(x91671),f134(x91671),f115(x91671)),x91672)))+P1(f324(f324(f326(f921(x91671)),f762(x91672,x91671)),f324(f172(f921(x91671)),x91672))) % 194.45/194.28 [9211]~P1(f324(f137(x92111),f762(x92112,x92111)))+~P1(f324(f137(f921(x92111)),x92112))+P1(f324(f137(x92111),f324(f142(f921(x92111),f921(x92111),f134(x92111),f115(x92111)),x92112)))+P1(f324(f324(f326(f921(x92111)),f761(x92112,x92111)),f324(f172(f921(x92111)),x92112))) % 194.45/194.28 [9212]~P1(f324(f137(x92121),f762(x92122,x92121)))+~P1(f324(f137(f921(x92121)),x92122))+P1(f324(f137(x92121),f324(f142(f921(x92121),f921(x92121),f134(x92121),f115(x92121)),x92122)))+P1(f324(f324(f326(f921(x92121)),f760(x92122,x92121)),f324(f172(f921(x92121)),x92122))) % 194.45/194.28 [9296]~P1(f324(f137(f921(x92961)),x92962))+P1(f324(f137(x92961),f324(f142(f921(x92961),f921(x92961),f134(x92961),f115(x92961)),x92962)))+P1(f324(f324(f326(f921(x92961)),f761(x92962,x92961)),f324(f172(f921(x92961)),x92962)))+P1(f324(f324(f326(f921(x92961)),f762(x92962,x92961)),f324(f172(f921(x92961)),x92962))) % 194.45/194.28 [9297]~P1(f324(f137(f921(x92971)),x92972))+P1(f324(f137(x92971),f324(f142(f921(x92971),f921(x92971),f134(x92971),f115(x92971)),x92972)))+P1(f324(f324(f326(f921(x92971)),f760(x92972,x92971)),f324(f172(f921(x92971)),x92972)))+P1(f324(f324(f326(f921(x92971)),f762(x92972,x92971)),f324(f172(f921(x92971)),x92972))) % 194.45/194.28 [9312]~E(f324(f324(f103(f928(x93121,a916)),f324(f172(x93121),f761(x93122,x93121))),f324(f172(x93121),f760(x93122,x93121))),f189(f928(x93121,a916)))+~P1(f324(f137(x93121),f762(x93122,x93121)))+~P1(f324(f137(f921(x93121)),x93122))+P1(f324(f137(x93121),f324(f142(f921(x93121),f921(x93121),f134(x93121),f115(x93121)),x93122))) % 194.45/194.28 [9378]~E(f324(f324(f103(f928(x93781,a916)),f324(f172(x93781),f761(x93782,x93781))),f324(f172(x93781),f760(x93782,x93781))),f189(f928(x93781,a916)))+~P1(f324(f137(f921(x93781)),x93782))+P1(f324(f137(x93781),f324(f142(f921(x93781),f921(x93781),f134(x93781),f115(x93781)),x93782)))+P1(f324(f324(f326(f921(x93781)),f762(x93782,x93781)),f324(f172(f921(x93781)),x93782))) % 194.45/194.28 [9656]E(x96561,f2(a1))+E(x96562,f2(a1))+E(f324(f324(f85(a1,f927(a1,a1)),f324(f324(a218,x96562),x96561)),f324(f324(f20(a1,a1,f927(a1,a1)),f324(f324(f10(a1,f928(a1,f927(a1,a1)),a1),f252(a1,a1)),f324(f36(a1),x96562))),f324(f36(a1),x96561))),f216(x96562,x96561))+P1(f324(f324(f235(a1),x96561),f2(a1))) % 194.45/194.28 [8382]~P102(x83822)+~P125(x83822)+~P1(f324(f324(f234(x83822),f324(f105(x83822),x83821)),f77(x83822)))+P1(f324(f324(f234(a1),x83821),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))) % 194.45/194.28 [8383]~P102(x83832)+~P125(x83832)+~P1(f324(f324(f235(x83832),f324(f105(x83832),x83831)),f77(x83832)))+P1(f324(f324(f235(a1),x83831),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))) % 194.45/194.28 [8658]~P125(x86581)+~P102(x86581)+P1(f324(f324(f234(x86581),f324(f105(x86581),x86582)),f77(x86581)))+~P1(f324(f324(f234(a1),x86582),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))) % 194.45/194.28 [8659]~P125(x86591)+~P102(x86591)+P1(f324(f324(f235(x86591),f324(f105(x86591),x86592)),f77(x86591)))+~P1(f324(f324(f235(a1),x86592),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))) % 194.45/194.28 [8868]~P102(x88682)+~P125(x88682)+~P1(f324(f324(f234(x88682),f77(x88682)),f324(f105(x88682),x88681)))+P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),x88681)) % 194.45/194.28 [8869]~P102(x88692)+~P125(x88692)+~P1(f324(f324(f235(x88692),f77(x88692)),f324(f105(x88692),x88691)))+P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),x88691)) % 194.45/194.28 [9249]~P125(x92491)+~P102(x92491)+P1(f324(f324(f234(x92491),f77(x92491)),f324(f105(x92491),x92492)))+~P1(f324(f324(f234(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),x92492)) % 194.45/194.28 [9250]~P125(x92501)+~P102(x92501)+P1(f324(f324(f235(x92501),f77(x92501)),f324(f105(x92501),x92502)))+~P1(f324(f324(f235(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),x92502)) % 194.45/194.28 [9787]~P143(x97872)+E(x97871,f77(x97872))+E(x97871,f324(f78(x97872),f77(x97872)))+~E(f324(f324(f244(x97872),x97871),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f77(x97872)) % 194.45/194.28 [10058]~P72(x100581)+~P102(x100581)+~P1(f324(f324(f235(x100581),f2(x100581)),x100582))+P1(f324(f324(f235(x100581),f2(x100581)),f324(f324(f287(x100581),x100582),f324(f105(x100581),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.28 [10112]~P72(x101121)+~P102(x101121)+P1(f324(f324(f235(x101121),f2(x101121)),x101122))+~P1(f324(f324(f235(x101121),f2(x101121)),f324(f324(f287(x101121),x101122),f324(f105(x101121),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.28 [10388]~P144(x103882)+E(x103881,f2(a1))+P1(f324(f324(f235(a1),x103881),f2(a1)))+E(f324(f324(f257(a1,a1,x103882),f324(f324(f9(a1,f928(a1,f928(x103882,x103882)),f928(a1,x103882)),f324(f324(f10(f928(f928(x103882,x103882),x103882),f928(f928(a1,f928(x103882,x103882)),f928(a1,x103882)),a1),f10(f928(x103882,x103882),x103882,a1)),f324(f324(f10(x103882,f928(f928(x103882,x103882),x103882),a1),f85(x103882,x103882)),f104(x103882)))),f324(f324(f9(a1,f928(x103882,x103882),f928(x103882,x103882)),f324(f324(f10(f928(x103882,f928(x103882,x103882)),f928(f928(x103882,x103882),f928(x103882,x103882)),a1),f20(x103882,x103882,x103882)),f324(f324(f9(a1,f928(x103882,x103882),f928(x103882,f928(x103882,x103882))),f324(f324(f10(f928(x103882,f928(x103882,x103882)),f928(f928(x103882,x103882),f928(x103882,f928(x103882,x103882))),a1),f10(x103882,f928(x103882,x103882),x103882)),f324(f324(f10(a916,f928(x103882,f928(x103882,x103882)),a1),f96(x103882)),f324(f324(f9(a1,a1,a916),a321),f2(a1))))),f324(f324(f20(x103882,x103882,x103882),f79(x103882)),f7(x103882))))),f324(f324(f9(x103882,x103882,x103882),f324(f324(f10(x103882,f928(x103882,x103882),x103882),f79(x103882)),f324(f324(f20(x103882,x103882,x103882),f79(x103882)),f7(x103882)))),f77(x103882))))),f46(x103881,f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f104(x103882),x103881)) % 194.45/194.28 [5326]~P113(x53261)+~P113(x53262)+~P49(x53261,x53262,x53263)+P38(x53261,x53262,x53263) % 194.45/194.28 [5462]~P36(x54621,x54623)+~P52(x54621,x54623)+~P53(x54621,x54622,x54623)+P5(x54621,x54622,x54623) % 194.45/194.28 [5218]~P2(x52183)+~P38(x52183,x52183,x52181)+E(f324(x52181,x52182),x52182)+~E(x52182,f98(x52183,x52181)) % 194.45/194.28 [5219]~P2(x52193)+~P38(x52193,x52193,x52191)+E(f324(x52191,x52192),x52192)+~E(x52192,f97(x52193,x52191)) % 194.45/194.28 [4993]~P100(x49933)+~P102(x49933)+E(x49931,x49932)+~E(f324(f105(x49933),x49931),f324(f105(x49933),x49932)) % 194.45/194.28 [5472]~P50(x54721,x54722)+~P51(x54721,x54722)+P13(x54721,x54722)+~P1(f324(f324(x54722,x54723),x54723)) % 194.45/194.28 [5964]P13(x59642,x59641)+E(f324(x59641,f835(x59641)),f324(x59641,f836(x59641)))+P1(f324(f324(x59641,f835(x59641)),f836(x59641)))+~P1(f324(f324(x59641,x59643),x59643)) % 194.45/194.28 [6168]~P1(f324(x61681,x61682))+~P1(f324(x61681,x61683))+~P1(f324(f324(f234(a920),x61683),f349(x61682,x61681)))+P1(f324(x61681,f2(a920))) % 194.45/194.28 [6237]P13(x62371,x62372)+P1(f324(f324(x62372,f835(x62372)),f835(x62372)))+P1(f324(f324(x62372,f835(x62372)),f836(x62372)))+~P1(f324(f324(x62372,x62373),x62373)) % 194.45/194.28 [6238]P13(x62381,x62382)+P1(f324(f324(x62382,f835(x62382)),f836(x62382)))+P1(f324(f324(x62382,f836(x62382)),f836(x62382)))+~P1(f324(f324(x62382,x62383),x62383)) % 194.45/194.28 [6594]P150(x65942,x65941,x65943)+E(x65941,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f863(x65943,x65941,x65942)))+P1(f324(f324(f235(a1),x65941),f2(a1))) % 194.45/194.28 [6595]P149(x65952,x65951,x65953)+E(x65951,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f867(x65953,x65951,x65952)))+P1(f324(f324(f235(a1),x65951),f2(a1))) % 194.45/194.28 [6715]P149(x67151,x67152,x67153)+~P1(f324(x67151,x67153))+P1(f324(f324(f234(a1),f2(a1)),f867(x67153,x67152,x67151)))+P1(f324(f324(f235(a1),x67152),f2(a1))) % 194.45/194.28 [6744]P150(x67441,x67442,x67443)+P1(f324(f324(f234(a1),f2(a1)),f863(x67443,x67442,x67441)))+~P1(f324(x67441,f2(a1)))+P1(f324(f324(f235(a1),x67442),f2(a1))) % 194.45/194.28 [6772]P150(x67722,x67721,x67723)+E(x67721,f2(a1))+~P1(f324(x67722,f864(x67723,x67721,x67722)))+P1(f324(f324(f235(a1),x67721),f2(a1))) % 194.45/194.28 [6773]P149(x67732,x67731,x67733)+E(x67731,f2(a1))+~P1(f324(x67732,f867(x67733,x67731,x67732)))+P1(f324(f324(f235(a1),x67731),f2(a1))) % 194.45/194.28 [6872]~P2(x68721)+~P112(x68721)+~P1(f324(f324(f235(x68721),x68722),f37(x68721,x68723)))+P1(f324(f324(f235(x68721),x68722),f758(x68723,x68722,x68721))) % 194.45/194.28 [6881]P149(x68811,x68812,x68813)+~P1(f324(x68811,x68813))+~P1(f324(x68811,f867(x68813,x68812,x68811)))+P1(f324(f324(f235(a1),x68812),f2(a1))) % 194.45/194.28 [6912]P150(x69121,x69122,x69123)+~P1(f324(x69121,f864(x69123,x69122,x69121)))+~P1(f324(x69121,f2(a1)))+P1(f324(f324(f235(a1),x69122),f2(a1))) % 194.45/194.28 [7161]P150(x71612,x71611,x71613)+E(x71611,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f863(x71613,x71611,x71612)))+P1(f324(f324(f235(a1),x71611),f862(x71613,x71611,x71612))) % 194.45/194.28 [7162]P149(x71622,x71621,x71623)+E(x71621,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f867(x71623,x71621,x71622)))+P1(f324(f324(f235(a1),x71621),f866(x71623,x71621,x71622))) % 194.45/194.28 [7280]P149(x72801,x72802,x72803)+~P1(f324(x72801,x72803))+P1(f324(f324(f234(a1),f2(a1)),f867(x72803,x72802,x72801)))+P1(f324(f324(f235(a1),x72802),f866(x72803,x72802,x72801))) % 194.45/194.28 [7299]P150(x72991,x72992,x72993)+P1(f324(f324(f234(a1),f2(a1)),f863(x72993,x72992,x72991)))+P1(f324(f324(f235(a1),x72992),f862(x72993,x72992,x72991)))+~P1(f324(x72991,f2(a1))) % 194.45/194.28 [7332]P150(x73322,x73321,x73323)+E(x73321,f2(a1))+~P1(f324(x73322,f864(x73323,x73321,x73322)))+P1(f324(f324(f235(a1),x73321),f862(x73323,x73321,x73322))) % 194.45/194.28 [7333]P149(x73332,x73331,x73333)+E(x73331,f2(a1))+~P1(f324(x73332,f867(x73333,x73331,x73332)))+P1(f324(f324(f235(a1),x73331),f866(x73333,x73331,x73332))) % 194.45/194.28 [7378]P150(x73782,x73781,x73783)+E(x73781,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f863(x73783,x73781,x73782)))+~P1(f324(x73782,f865(x73783,x73781,x73782))) % 194.45/194.28 [7379]P149(x73792,x73791,x73793)+E(x73791,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f867(x73793,x73791,x73792)))+~P1(f324(x73792,f866(x73793,x73791,x73792))) % 194.45/194.28 [7479]P149(x74791,x74792,x74793)+~P1(f324(x74791,x74793))+~P1(f324(x74791,f867(x74793,x74792,x74791)))+P1(f324(f324(f235(a1),x74792),f866(x74793,x74792,x74791))) % 194.45/194.28 [7494]P150(x74941,x74942,x74943)+~P1(f324(x74941,f864(x74943,x74942,x74941)))+P1(f324(f324(f235(a1),x74942),f862(x74943,x74942,x74941)))+~P1(f324(x74941,f2(a1))) % 194.45/194.28 [7497]P149(x74971,x74972,x74973)+~P1(f324(x74971,x74973))+P1(f324(f324(f234(a1),f2(a1)),f867(x74973,x74972,x74971)))+~P1(f324(x74971,f866(x74973,x74972,x74971))) % 194.45/194.28 [7513]P150(x75131,x75132,x75133)+P1(f324(f324(f234(a1),f2(a1)),f863(x75133,x75132,x75131)))+~P1(f324(x75131,f865(x75133,x75132,x75131)))+~P1(f324(x75131,f2(a1))) % 194.45/194.28 [7514]~P113(x75142)+~P113(x75141)+P38(x75141,x75142,x75143)+P1(f324(f324(f234(x75141),f438(x75143,x75141,x75142)),f453(x75143,x75141,x75142))) % 194.45/194.28 [7536]P150(x75362,x75361,x75363)+E(x75361,f2(a1))+~P1(f324(x75362,f864(x75363,x75361,x75362)))+~P1(f324(x75362,f865(x75363,x75361,x75362))) % 194.45/194.28 [7537]P149(x75372,x75371,x75373)+E(x75371,f2(a1))+~P1(f324(x75372,f867(x75373,x75371,x75372)))+~P1(f324(x75372,f866(x75373,x75371,x75372))) % 194.45/194.28 [7629]P149(x76291,x76292,x76293)+~P1(f324(x76291,x76293))+~P1(f324(x76291,f867(x76293,x76292,x76291)))+~P1(f324(x76291,f866(x76293,x76292,x76291))) % 194.45/194.28 [7646]P150(x76461,x76462,x76463)+~P1(f324(x76461,f864(x76463,x76462,x76461)))+~P1(f324(x76461,f865(x76463,x76462,x76461)))+~P1(f324(x76461,f2(a1))) % 194.45/194.28 [7690]P150(x76902,x76901,x76903)+E(x76901,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f863(x76903,x76901,x76902)))+P1(f324(f324(f234(a1),f862(x76903,x76901,x76902)),f2(a1))) % 194.45/194.28 [7691]P149(x76912,x76911,x76913)+E(x76911,f2(a1))+P1(f324(f324(f234(a1),f2(a1)),f867(x76913,x76911,x76912)))+P1(f324(f324(f234(a1),f866(x76913,x76911,x76912)),f2(a1))) % 194.45/194.28 [7692]~P144(x76921)+~P1(f324(f324(f326(x76921),x76923),f111(x76921)))+~P1(f324(f324(f326(x76921),x76922),f111(x76921)))+P1(f324(f324(f326(x76921),f324(f324(f3(x76921),x76922),x76923)),f111(x76921))) % 194.45/194.28 [7693]~P144(x76931)+~P1(f324(f324(f326(x76931),x76933),f111(x76931)))+~P1(f324(f324(f326(x76931),x76932),f111(x76931)))+P1(f324(f324(f326(x76931),f324(f324(f80(x76931),x76932),x76933)),f111(x76931))) % 194.45/194.28 [7694]~P114(x76941)+~P1(f324(f324(f326(x76941),x76943),f186(x76941)))+~P1(f324(f324(f326(x76941),x76942),f186(x76941)))+P1(f324(f324(f326(x76941),f324(f324(f80(x76941),x76942),x76943)),f186(x76941))) % 194.45/194.28 [7695]~P144(x76951)+~P1(f324(f324(f326(x76951),x76953),f111(x76951)))+~P1(f324(f324(f326(x76951),x76952),f111(x76951)))+P1(f324(f324(f326(x76951),f324(f324(f79(x76951),x76952),x76953)),f111(x76951))) % 194.45/194.28 [7696]~P114(x76961)+~P1(f324(f324(f326(x76961),x76963),f186(x76961)))+~P1(f324(f324(f326(x76961),x76962),f186(x76961)))+P1(f324(f324(f326(x76961),f324(f324(f79(x76961),x76962),x76963)),f186(x76961))) % 194.45/194.28 [7697]~P96(x76971)+~P1(f324(f324(f234(x76971),x76973),f2(x76971)))+~P1(f324(f324(f234(x76971),x76972),f2(x76971)))+P1(f324(f324(f234(x76971),f324(f324(f79(x76971),x76972),x76973)),f2(x76971))) % 194.45/194.28 [7698]~P96(x76981)+~P1(f324(f324(f234(x76981),x76983),f2(x76981)))+~P1(f324(f324(f235(x76981),x76982),f2(x76981)))+P1(f324(f324(f235(x76981),f324(f324(f79(x76981),x76982),x76983)),f2(x76981))) % 194.45/194.28 [7699]~P96(x76991)+~P1(f324(f324(f234(x76991),x76992),f2(x76991)))+~P1(f324(f324(f235(x76991),x76993),f2(x76991)))+P1(f324(f324(f235(x76991),f324(f324(f79(x76991),x76992),x76993)),f2(x76991))) % 194.45/194.28 [7700]~P96(x77001)+~P1(f324(f324(f235(x77001),x77003),f2(x77001)))+~P1(f324(f324(f235(x77001),x77002),f2(x77001)))+P1(f324(f324(f235(x77001),f324(f324(f79(x77001),x77002),x77003)),f2(x77001))) % 194.45/194.28 [7727]P150(x77273,x77271,x77272)+E(x77271,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x77271),f864(x77272,x77271,x77273))),f863(x77272,x77271,x77273)),x77272)+P1(f324(f324(f235(a1),x77271),f2(a1))) % 194.45/194.28 [7728]P149(x77283,x77281,x77282)+E(x77281,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x77281),f868(x77282,x77281,x77283))),f867(x77282,x77281,x77283)),x77282)+P1(f324(f324(f235(a1),x77281),f2(a1))) % 194.45/194.28 [7809]P149(x78091,x78092,x78093)+~P1(f324(x78091,x78093))+P1(f324(f324(f234(a1),f2(a1)),f867(x78093,x78092,x78091)))+P1(f324(f324(f234(a1),f866(x78093,x78092,x78091)),f2(a1))) % 194.45/194.28 [7839]P150(x78391,x78392,x78393)+P1(f324(f324(f234(a1),f2(a1)),f863(x78393,x78392,x78391)))+~P1(f324(x78391,f2(a1)))+P1(f324(f324(f234(a1),f862(x78393,x78392,x78391)),f2(a1))) % 194.45/194.28 [7848]P149(x78483,x78481,x78482)+~P1(f324(x78483,x78482))+E(f324(f324(f79(a1),f324(f324(f80(a1),x78481),f868(x78482,x78481,x78483))),f867(x78482,x78481,x78483)),x78482)+P1(f324(f324(f235(a1),x78481),f2(a1))) % 194.45/194.28 [7854]P150(x78542,x78541,x78543)+E(x78541,f2(a1))+~P1(f324(x78542,f864(x78543,x78541,x78542)))+P1(f324(f324(f234(a1),f862(x78543,x78541,x78542)),f2(a1))) % 194.45/194.28 [7855]P149(x78552,x78551,x78553)+E(x78551,f2(a1))+~P1(f324(x78552,f867(x78553,x78551,x78552)))+P1(f324(f324(f234(a1),f866(x78553,x78551,x78552)),f2(a1))) % 194.45/194.28 [7860]P150(x78603,x78601,x78602)+E(f324(f324(f79(a1),f324(f324(f80(a1),x78601),f864(x78602,x78601,x78603))),f863(x78602,x78601,x78603)),x78602)+~P1(f324(x78603,f2(a1)))+P1(f324(f324(f235(a1),x78601),f2(a1))) % 194.45/194.28 [7916]P149(x79161,x79162,x79163)+~P1(f324(x79161,x79163))+~P1(f324(x79161,f867(x79163,x79162,x79161)))+P1(f324(f324(f234(a1),f866(x79163,x79162,x79161)),f2(a1))) % 194.45/194.28 [7920]P150(x79201,x79202,x79203)+~P1(f324(x79201,f864(x79203,x79202,x79201)))+~P1(f324(x79201,f2(a1)))+P1(f324(f324(f234(a1),f862(x79203,x79202,x79201)),f2(a1))) % 194.45/194.28 [7993]~P130(x79931)+~P1(f324(f324(f234(x79931),f324(f324(f80(x79931),x79933),x79932)),f2(x79931)))+P1(f324(f324(f234(x79931),x79932),f2(x79931)))+P1(f324(f324(f234(x79931),x79933),f2(x79931))) % 194.45/194.28 [7994]~P72(x79941)+~P1(f324(f324(f234(x79941),f324(f324(f287(x79941),x79943),x79942)),f2(x79941)))+P1(f324(f324(f234(x79941),x79942),f2(x79941)))+P1(f324(f324(f234(x79941),x79943),f2(x79941))) % 194.45/194.28 [7995]~P72(x79951)+~P1(f324(f324(f235(x79951),f324(f324(f287(x79951),x79953),x79952)),f2(x79951)))+P1(f324(f324(f235(x79951),x79952),f2(x79951)))+P1(f324(f324(f235(x79951),x79953),f2(x79951))) % 194.45/194.28 [8110]P150(x81103,x81101,x81102)+E(x81101,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x81101),f864(x81102,x81101,x81103))),f863(x81102,x81101,x81103)),x81102)+P1(f324(f324(f235(a1),x81101),f862(x81102,x81101,x81103))) % 194.45/194.28 [8111]P149(x81113,x81111,x81112)+E(x81111,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x81111),f868(x81112,x81111,x81113))),f867(x81112,x81111,x81113)),x81112)+P1(f324(f324(f235(a1),x81111),f866(x81112,x81111,x81113))) % 194.45/194.28 [8124]P150(x81243,x81241,x81242)+E(x81241,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x81241),f865(x81242,x81241,x81243))),f862(x81242,x81241,x81243)),x81242)+P1(f324(f324(f234(a1),f2(a1)),f863(x81242,x81241,x81243))) % 194.45/194.28 [8125]P149(x81253,x81251,x81252)+E(x81251,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x81251),f869(x81252,x81251,x81253))),f866(x81252,x81251,x81253)),x81252)+P1(f324(f324(f234(a1),f2(a1)),f867(x81252,x81251,x81253))) % 194.45/194.28 [8170]P149(x81703,x81701,x81702)+~P1(f324(x81703,x81702))+E(f324(f324(f79(a1),f324(f324(f80(a1),x81701),f868(x81702,x81701,x81703))),f867(x81702,x81701,x81703)),x81702)+P1(f324(f324(f235(a1),x81701),f866(x81702,x81701,x81703))) % 194.45/194.28 [8179]P150(x81793,x81791,x81792)+E(f324(f324(f79(a1),f324(f324(f80(a1),x81791),f864(x81792,x81791,x81793))),f863(x81792,x81791,x81793)),x81792)+P1(f324(f324(f235(a1),x81791),f862(x81792,x81791,x81793)))+~P1(f324(x81793,f2(a1))) % 194.45/194.28 [8185]P149(x81853,x81851,x81852)+~P1(f324(x81853,x81852))+E(f324(f324(f79(a1),f324(f324(f80(a1),x81851),f869(x81852,x81851,x81853))),f866(x81852,x81851,x81853)),x81852)+P1(f324(f324(f234(a1),f2(a1)),f867(x81852,x81851,x81853))) % 194.45/194.28 [8191]P150(x81913,x81911,x81912)+E(f324(f324(f79(a1),f324(f324(f80(a1),x81911),f865(x81912,x81911,x81913))),f862(x81912,x81911,x81913)),x81912)+P1(f324(f324(f234(a1),f2(a1)),f863(x81912,x81911,x81913)))+~P1(f324(x81913,f2(a1))) % 194.45/194.28 [8202]P150(x82023,x82021,x82022)+E(x82021,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x82021),f864(x82022,x82021,x82023))),f863(x82022,x82021,x82023)),x82022)+~P1(f324(x82023,f865(x82022,x82021,x82023))) % 194.45/194.28 [8203]P149(x82033,x82031,x82032)+E(x82031,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x82031),f868(x82032,x82031,x82033))),f867(x82032,x82031,x82033)),x82032)+~P1(f324(x82033,f866(x82032,x82031,x82033))) % 194.45/194.28 [8204]P150(x82043,x82041,x82042)+E(x82041,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x82041),f865(x82042,x82041,x82043))),f862(x82042,x82041,x82043)),x82042)+~P1(f324(x82043,f864(x82042,x82041,x82043))) % 194.45/194.28 [8205]P149(x82053,x82051,x82052)+E(x82051,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x82051),f869(x82052,x82051,x82053))),f866(x82052,x82051,x82053)),x82052)+~P1(f324(x82053,f867(x82052,x82051,x82053))) % 194.45/194.28 [8267]P149(x82673,x82671,x82672)+~P1(f324(x82673,x82672))+E(f324(f324(f79(a1),f324(f324(f80(a1),x82671),f868(x82672,x82671,x82673))),f867(x82672,x82671,x82673)),x82672)+~P1(f324(x82673,f866(x82672,x82671,x82673))) % 194.45/194.28 [8268]P149(x82683,x82681,x82682)+~P1(f324(x82683,x82682))+E(f324(f324(f79(a1),f324(f324(f80(a1),x82681),f869(x82682,x82681,x82683))),f866(x82682,x82681,x82683)),x82682)+~P1(f324(x82683,f867(x82682,x82681,x82683))) % 194.45/194.28 [8278]P150(x82783,x82781,x82782)+E(f324(f324(f79(a1),f324(f324(f80(a1),x82781),f864(x82782,x82781,x82783))),f863(x82782,x82781,x82783)),x82782)+~P1(f324(x82783,f865(x82782,x82781,x82783)))+~P1(f324(x82783,f2(a1))) % 194.45/194.28 [8279]P150(x82793,x82791,x82792)+E(f324(f324(f79(a1),f324(f324(f80(a1),x82791),f865(x82792,x82791,x82793))),f862(x82792,x82791,x82793)),x82792)+~P1(f324(x82793,f864(x82792,x82791,x82793)))+~P1(f324(x82793,f2(a1))) % 194.45/194.28 [8375]P150(x83753,x83751,x83752)+E(x83751,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x83751),f864(x83752,x83751,x83753))),f863(x83752,x83751,x83753)),x83752)+P1(f324(f324(f234(a1),f862(x83752,x83751,x83753)),f2(a1))) % 194.45/194.28 [8376]P149(x83763,x83761,x83762)+E(x83761,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x83761),f868(x83762,x83761,x83763))),f867(x83762,x83761,x83763)),x83762)+P1(f324(f324(f234(a1),f866(x83762,x83761,x83763)),f2(a1))) % 194.45/194.28 [8415]P149(x84153,x84151,x84152)+~P1(f324(x84153,x84152))+E(f324(f324(f79(a1),f324(f324(f80(a1),x84151),f868(x84152,x84151,x84153))),f867(x84152,x84151,x84153)),x84152)+P1(f324(f324(f234(a1),f866(x84152,x84151,x84153)),f2(a1))) % 194.45/194.28 [8420]P150(x84203,x84201,x84202)+E(f324(f324(f79(a1),f324(f324(f80(a1),x84201),f864(x84202,x84201,x84203))),f863(x84202,x84201,x84203)),x84202)+~P1(f324(x84203,f2(a1)))+P1(f324(f324(f234(a1),f862(x84202,x84201,x84203)),f2(a1))) % 194.45/194.28 [8555]P150(x85553,x85551,x85552)+E(x85551,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x85551),f865(x85552,x85551,x85553))),f862(x85552,x85551,x85553)),x85552)+E(f324(f324(f79(a1),f324(f324(f80(a1),x85551),f864(x85552,x85551,x85553))),f863(x85552,x85551,x85553)),x85552) % 194.45/194.28 [8556]P149(x85563,x85561,x85562)+E(x85561,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x85561),f869(x85562,x85561,x85563))),f866(x85562,x85561,x85563)),x85562)+E(f324(f324(f79(a1),f324(f324(f80(a1),x85561),f868(x85562,x85561,x85563))),f867(x85562,x85561,x85563)),x85562) % 194.45/194.28 [8576]P149(x85763,x85761,x85762)+~P1(f324(x85763,x85762))+E(f324(f324(f79(a1),f324(f324(f80(a1),x85761),f869(x85762,x85761,x85763))),f866(x85762,x85761,x85763)),x85762)+E(f324(f324(f79(a1),f324(f324(f80(a1),x85761),f868(x85762,x85761,x85763))),f867(x85762,x85761,x85763)),x85762) % 194.45/194.28 [8587]P150(x85873,x85871,x85872)+E(f324(f324(f79(a1),f324(f324(f80(a1),x85871),f865(x85872,x85871,x85873))),f862(x85872,x85871,x85873)),x85872)+E(f324(f324(f79(a1),f324(f324(f80(a1),x85871),f864(x85872,x85871,x85873))),f863(x85872,x85871,x85873)),x85872)+~P1(f324(x85873,f2(a1))) % 194.45/194.28 [9257]~P130(x92571)+~E(x92573,f2(x92571))+~E(x92572,f2(x92571))+P1(f324(f324(f234(x92571),f324(f324(f79(x92571),f324(f324(f80(x92571),x92572),x92572)),f324(f324(f80(x92571),x92573),x92573))),f2(x92571))) % 194.45/194.28 [10327]~P125(x103271)+~E(x103273,f2(x103271))+~E(x103272,f2(x103271))+P1(f324(f324(f234(x103271),f324(f324(f79(x103271),f324(f324(f244(x103271),x103272),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x103271),x103273),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))),f2(x103271))) % 194.45/194.28 [4941]~E(x49413,x49411)+~P122(x49412)+E(x49411,f2(x49412))+E(f324(f324(f287(x49412),x49413),x49411),f77(x49412)) % 194.45/194.28 [4994]~P84(x49941)+~E(x49943,f242(x49941))+~E(x49942,f242(x49941))+E(f324(f324(f103(x49941),x49942),x49943),f242(x49941)) % 194.45/194.28 [4995]~P85(x49951)+~E(x49953,f189(x49951))+~E(x49952,f189(x49951))+E(f324(f324(f112(x49951),x49952),x49953),f189(x49951)) % 194.45/194.28 [5089]~P122(x50893)+E(x50891,x50892)+E(x50892,f2(x50893))+~E(f324(f324(f287(x50893),x50891),x50892),f77(x50893)) % 194.45/194.28 [5107]~P135(x51072)+E(x51071,f2(x51072))+E(x51073,f2(x51072))+~E(f324(f324(f80(x51072),x51073),x51071),f2(x51072)) % 194.45/194.28 [5108]~P145(x51082)+E(x51081,f2(x51082))+E(x51083,f2(x51082))+~E(f324(f324(f80(x51082),x51083),x51081),f2(x51082)) % 194.45/194.28 [5491]~P116(x54913)+E(x54911,x54912)+E(x54911,f324(f78(x54913),x54912))+~E(f324(f324(f80(x54913),x54911),x54911),f324(f324(f80(x54913),x54912),x54912)) % 194.45/194.28 [5529]~P90(x55291)+E(f324(f78(x55291),x55292),x55293)+~E(f324(f324(f103(x55291),x55292),x55293),f189(x55291))+~E(f324(f324(f112(x55291),x55292),x55293),f242(x55291)) % 194.45/194.28 [5606]~P125(x56063)+E(x56061,x56062)+P1(f324(f324(f235(x56063),x56062),x56061))+P1(f324(f324(f235(x56063),x56061),x56062)) % 194.45/194.28 [5607]~P112(x56073)+E(x56071,x56072)+P1(f324(f324(f235(x56073),x56072),x56071))+P1(f324(f324(f235(x56073),x56071),x56072)) % 194.45/194.28 [5608]~E(x56082,x56083)+~P112(x56081)+P1(f324(f324(f235(x56081),x56082),x56083))+P1(f324(f324(f234(x56081),x56082),x56083)) % 194.45/194.28 [5870]~P113(x58703)+E(x58701,x58702)+~P1(f324(f324(f234(x58703),x58702),x58701))+P1(f324(f324(f235(x58703),x58702),x58701)) % 194.45/194.28 [5872]~P112(x58723)+E(x58721,x58722)+~P1(f324(f324(f234(x58723),x58721),x58722))+P1(f324(f324(f235(x58723),x58721),x58722)) % 194.45/194.28 [5878]~P113(x58783)+E(x58781,x58782)+~P1(f324(f324(f234(x58783),x58781),x58782))+P1(f324(f324(f235(x58783),x58781),x58782)) % 194.45/194.28 [5984]P149(x59841,x59842,x59843)+~P1(f324(x59841,x59843))+P1(f324(f324(f235(a1),x59842),f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x59842)) % 194.45/194.28 [6034]P150(x60341,x60342,x60343)+~P1(f324(x60341,f2(a1)))+P1(f324(f324(f235(a1),x60342),f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x60342)) % 194.45/194.28 [6039]~P105(x60391)+E(f324(f324(f103(x60391),x60392),f15(x60391,x60393)),x60392)+~P1(f324(f61(x60391),x60393))+~P1(f324(f324(f326(x60391),x60392),x60393)) % 194.45/194.28 [6040]~P105(x60401)+E(f324(f324(f112(x60401),x60402),f12(x60401,x60403)),x60402)+~P1(f324(f61(x60401),x60403))+~P1(f324(f324(f326(x60401),x60402),x60403)) % 194.45/194.28 [6076]~P105(x60761)+E(f324(f324(f103(x60761),x60762),f12(x60761,x60763)),f12(x60761,x60763))+~P1(f324(f61(x60761),x60763))+~P1(f324(f324(f326(x60761),x60762),x60763)) % 194.45/194.28 [6077]~P105(x60771)+E(f324(f324(f112(x60771),x60772),f15(x60771,x60773)),f15(x60771,x60773))+~P1(f324(f61(x60771),x60773))+~P1(f324(f324(f326(x60771),x60772),x60773)) % 194.45/194.28 [6078]~P112(x60781)+E(f324(f324(f188(x60781),x60782),f16(x60781,x60783)),f16(x60781,x60783))+~P1(f324(f61(x60781),x60783))+~P1(f324(f324(f326(x60781),x60782),x60783)) % 194.45/194.28 [6079]~P112(x60791)+E(f324(f324(f233(x60791),x60792),f17(x60791,x60793)),f17(x60791,x60793))+~P1(f324(f61(x60791),x60793))+~P1(f324(f324(f326(x60791),x60792),x60793)) % 194.45/194.28 [6117]E(x61171,x61172)+~P113(x61173)+~P1(f324(f324(f234(x61173),x61172),x61171))+~P1(f324(f324(f234(x61173),x61171),x61172)) % 194.45/194.28 [6265]~P61(x62651)+P1(f324(f324(f235(x62651),x62653),x62652))+~P1(f324(f324(f234(x62651),x62653),x62652))+P1(f324(f324(f234(x62651),x62652),x62653)) % 194.45/194.28 [6291]~P112(x62911)+~P1(f324(f61(x62911),x62913))+P1(f324(f324(f234(x62911),x62912),f17(x62911,x62913)))+~P1(f324(f324(f326(x62911),x62912),x62913)) % 194.45/194.28 [6338]~P112(x63381)+E(f324(f324(f188(x63381),x63382),f14(x63381,f233(x63381),x63383)),x63382)+~P1(f324(f61(x63381),x63383))+~P1(f324(f324(f326(x63381),x63382),x63383)) % 194.45/194.28 [6339]~P112(x63391)+E(f324(f324(f233(x63391),x63392),f13(x63391,f188(x63391),x63393)),x63392)+~P1(f324(f61(x63391),x63393))+~P1(f324(f324(f326(x63391),x63392),x63393)) % 194.45/194.28 [6479]E(x64791,x64792)+~E(f324(f324(f3(a920),x64791),x64793),f324(f324(f3(a920),x64792),x64793))+~P1(f324(f324(f234(a920),x64793),x64791))+~P1(f324(f324(f234(a920),x64793),x64792)) % 194.45/194.28 [6506]~P112(x65061)+~P1(f324(f61(x65061),x65062))+~P1(f324(f324(f326(x65061),x65063),x65062))+P1(f324(f324(f234(x65061),f16(x65061,x65062)),x65063)) % 194.45/194.28 [6572]P150(x65722,x65721,x65723)+E(x65721,f2(a1))+P1(f324(f324(f235(a1),x65721),f862(x65723,x65721,x65722)))+P1(f324(f324(f235(a1),f2(a1)),x65721)) % 194.45/194.28 [6573]P149(x65732,x65731,x65733)+E(x65731,f2(a1))+P1(f324(f324(f235(a1),x65731),f866(x65733,x65731,x65732)))+P1(f324(f324(f235(a1),f2(a1)),x65731)) % 194.45/194.28 [6574]~P112(x65741)+E(f324(f324(f188(x65741),x65742),f13(x65741,f188(x65741),x65743)),f13(x65741,f188(x65741),x65743))+~P1(f324(f61(x65741),x65743))+~P1(f324(f324(f326(x65741),x65742),x65743)) % 194.45/194.28 [6575]~P112(x65751)+E(f324(f324(f233(x65751),x65752),f14(x65751,f233(x65751),x65753)),f14(x65751,f233(x65751),x65753))+~P1(f324(f61(x65751),x65753))+~P1(f324(f324(f326(x65751),x65752),x65753)) % 194.45/194.28 [6581]~P1(f324(x65811,x65812))+P1(f324(x65811,f394(x65812,x65811,x65813)))+P1(f324(x65811,f2(a920)))+~P1(f324(f324(f235(a920),x65812),x65813)) % 194.45/194.28 [6636]~P1(f324(x66361,x66362))+~P1(f324(f61(x66363),x66362))+P1(f324(x66361,f870(x66361,x66362,x66363)))+P1(f324(x66361,f189(f928(x66363,a916)))) % 194.45/194.28 [6649]~P125(x66491)+~P102(x66491)+P1(f324(f324(f234(x66491),f324(f105(x66491),x66492)),f324(f105(x66491),x66493)))+~P1(f324(f324(f234(a1),x66492),x66493)) % 194.45/194.28 [6650]~P125(x66501)+~P102(x66501)+P1(f324(f324(f235(x66501),f324(f105(x66501),x66502)),f324(f105(x66501),x66503)))+~P1(f324(f324(f235(a1),x66502),x66503)) % 194.45/194.28 [6653]~P1(f324(x66531,x66533))+~P1(f324(f61(x66532),x66533))+P1(f324(f61(x66532),f870(x66531,x66533,x66532)))+P1(f324(x66531,f189(f928(x66532,a916)))) % 194.45/194.28 [6686]P149(x66861,x66862,x66863)+~P1(f324(x66861,x66863))+P1(f324(f324(f235(a1),x66862),f866(x66863,x66862,x66861)))+P1(f324(f324(f235(a1),f2(a1)),x66862)) % 194.45/194.28 [6721]P150(x67211,x67212,x67213)+P1(f324(f324(f235(a1),x67212),f862(x67213,x67212,x67211)))+~P1(f324(x67211,f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x67212)) % 194.45/194.28 [6755]~P111(x67551)+~P101(x67551)+E(f324(f324(f188(x67551),f324(f105(x67551),x67552)),f324(f105(x67551),x67553)),f324(f105(x67551),x67553))+P1(f324(f324(f234(x67551),f324(f105(x67551),x67552)),f324(f105(x67551),x67553))) % 194.45/194.28 [6756]~P111(x67561)+~P101(x67561)+E(f324(f324(f233(x67561),f324(f105(x67561),x67562)),f324(f105(x67561),x67563)),f324(f105(x67561),x67562))+P1(f324(f324(f234(x67561),f324(f105(x67561),x67562)),f324(f105(x67561),x67563))) % 194.45/194.28 [6813]P150(x68132,x68131,x68133)+E(x68131,f2(a1))+~P1(f324(x68132,f865(x68133,x68131,x68132)))+P1(f324(f324(f235(a1),f2(a1)),x68131)) % 194.45/194.28 [6814]P149(x68142,x68141,x68143)+E(x68141,f2(a1))+~P1(f324(x68142,f866(x68143,x68141,x68142)))+P1(f324(f324(f235(a1),f2(a1)),x68141)) % 194.45/194.28 [6818]P1(f324(x68181,x68182))+~P1(f324(f61(x68183),x68182))+P1(f324(x68181,f402(x68181,x68182,x68183)))+~P1(f324(x68181,f189(f928(x68183,a916)))) % 194.45/194.28 [6839]P1(f324(x68391,x68392))+P1(f324(f61(x68393),f402(x68391,x68392,x68393)))+~P1(f324(f61(x68393),x68392))+~P1(f324(x68391,f189(f928(x68393,a916)))) % 194.45/194.28 [6901]P149(x69011,x69012,x69013)+~P1(f324(x69011,x69013))+~P1(f324(x69011,f866(x69013,x69012,x69011)))+P1(f324(f324(f235(a1),f2(a1)),x69012)) % 194.45/194.28 [6931]P150(x69311,x69312,x69313)+~P1(f324(x69311,f865(x69313,x69312,x69311)))+~P1(f324(x69311,f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x69312)) % 194.45/194.28 [7038]~P102(x70383)+~P125(x70383)+~P1(f324(f324(f234(x70383),f324(f105(x70383),x70381)),f324(f105(x70383),x70382)))+P1(f324(f324(f234(a1),x70381),x70382)) % 194.45/194.28 [7039]~P102(x70393)+~P125(x70393)+~P1(f324(f324(f235(x70393),f324(f105(x70393),x70391)),f324(f105(x70393),x70392)))+P1(f324(f324(f235(a1),x70391),x70392)) % 194.45/194.28 [7067]~P112(x70671)+~P10(x70671,x70673)+P10(x70671,f324(f324(f151(x70671),x70672),x70673))+~P1(f324(f324(f234(x70671),x70672),f740(x70673,x70672,x70671))) % 194.45/194.28 [7068]~P112(x70681)+~P10(x70681,x70683)+P10(x70681,f324(f324(f151(x70681),x70682),x70683))+~P1(f324(f324(f234(x70681),x70682),f742(x70683,x70682,x70681))) % 194.45/194.28 [7069]~P112(x70691)+~P10(x70691,x70693)+P10(x70691,f324(f324(f151(x70691),x70692),x70693))+~P1(f324(f324(f234(x70691),x70692),f782(x70692,x70693,x70691))) % 194.45/194.28 [7153]P150(x71532,x71531,x71533)+E(x71531,f2(a1))+P1(f324(f324(f235(a1),x71531),f2(a1)))+P1(f324(f324(f235(a1),f863(x71533,x71531,x71532)),x71531)) % 194.45/194.28 [7154]P149(x71542,x71541,x71543)+E(x71541,f2(a1))+P1(f324(f324(f235(a1),x71541),f2(a1)))+P1(f324(f324(f235(a1),f867(x71543,x71541,x71542)),x71541)) % 194.45/194.28 [7190]P150(x71902,x71901,x71903)+E(x71901,f2(a1))+P1(f324(f324(f234(a1),f862(x71903,x71901,x71902)),f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x71901)) % 194.45/194.28 [7191]P149(x71912,x71911,x71913)+E(x71911,f2(a1))+P1(f324(f324(f234(a1),f866(x71913,x71911,x71912)),f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x71911)) % 194.45/194.28 [7217]~P112(x72171)+~P10(x72171,x72173)+E(f324(f324(f148(x72171,x72171,f7(x72171)),x72172),f170(x72171,x72172,x72173)),x72173)+~P1(f324(f324(f326(x72171),x72172),f324(f172(x72171),x72173))) % 194.45/194.28 [7263]P149(x72631,x72632,x72633)+~P1(f324(x72631,x72633))+P1(f324(f324(f235(a1),x72632),f2(a1)))+P1(f324(f324(f235(a1),f867(x72633,x72632,x72631)),x72632)) % 194.45/194.28 [7269]~P111(x72691)+~P101(x72691)+E(f324(f324(f188(x72691),f324(f105(x72691),x72692)),f324(f105(x72691),x72693)),f324(f105(x72691),x72692))+~P1(f324(f324(f234(x72691),f324(f105(x72691),x72692)),f324(f105(x72691),x72693))) % 194.45/194.28 [7270]~P111(x72701)+~P101(x72701)+E(f324(f324(f233(x72701),f324(f105(x72701),x72702)),f324(f105(x72701),x72703)),f324(f105(x72701),x72703))+~P1(f324(f324(f234(x72701),f324(f105(x72701),x72702)),f324(f105(x72701),x72703))) % 194.45/194.28 [7284]P150(x72841,x72842,x72843)+~P1(f324(x72841,f2(a1)))+P1(f324(f324(f235(a1),x72842),f2(a1)))+P1(f324(f324(f235(a1),f863(x72843,x72842,x72841)),x72842)) % 194.45/194.28 [7292]P149(x72921,x72922,x72923)+~P1(f324(x72921,x72923))+P1(f324(f324(f234(a1),f866(x72923,x72922,x72921)),f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x72922)) % 194.45/194.28 [7316]P150(x73161,x73162,x73163)+~P1(f324(x73161,f2(a1)))+P1(f324(f324(f234(a1),f862(x73163,x73162,x73161)),f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x73162)) % 194.45/194.28 [7345]~P1(f324(x73451,x73452))+P1(f324(x73451,f2(a920)))+~P1(f324(f324(f235(a920),x73452),x73453))+P1(f324(f324(f235(a920),f394(x73452,x73451,x73453)),x73453)) % 194.45/194.28 [7362]~P112(x73621)+~P10(x73621,x73623)+P10(x73621,f324(f324(f151(x73621),x73622),x73623))+P1(f324(f324(f326(x73621),f740(x73623,x73622,x73621)),f324(f172(x73621),x73623))) % 194.45/194.28 [7363]~P112(x73631)+~P10(x73631,x73633)+P10(x73631,f324(f324(f151(x73631),x73632),x73633))+P1(f324(f324(f326(x73631),f742(x73633,x73632,x73631)),f324(f172(x73631),x73633))) % 194.45/194.28 [7364]~P112(x73641)+~P10(x73641,x73643)+P10(x73641,f324(f324(f151(x73641),x73642),x73643))+P1(f324(f324(f326(x73641),f782(x73642,x73643,x73641)),f324(f172(x73641),x73643))) % 194.45/194.28 [7483]~P2(x74831)+~P112(x74831)+~P1(f324(f324(f235(x74831),x74833),f37(x74831,x74832)))+P1(f324(f324(f326(x74831),f758(x74832,x74833,x74831)),x74832)) % 194.45/194.28 [7644]~P2(x76441)+~P112(x76441)+~P1(f324(f324(f235(x76441),f38(x76441,x76443)),x76442))+P1(f324(f324(f326(x76441),f771(x76442,x76443,x76441)),x76443)) % 194.45/194.28 [7645]~P2(x76451)+~P112(x76451)+~P1(f324(f324(f235(x76451),f38(x76451,x76453)),x76452))+P1(f324(f324(f235(x76451),f771(x76452,x76453,x76451)),x76452)) % 194.45/194.28 [7658]P150(x76582,x76581,x76583)+E(x76581,f2(a1))+P1(f324(f324(f235(a1),x76581),f862(x76583,x76581,x76582)))+P1(f324(f324(f235(a1),f863(x76583,x76581,x76582)),x76581)) % 194.45/194.28 [7659]P149(x76592,x76591,x76593)+E(x76591,f2(a1))+P1(f324(f324(f235(a1),x76591),f866(x76593,x76591,x76592)))+P1(f324(f324(f235(a1),f867(x76593,x76591,x76592)),x76591)) % 194.45/194.28 [7748]P150(x77483,x77481,x77482)+E(x77481,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x77481),f865(x77482,x77481,x77483))),f862(x77482,x77481,x77483)),x77482)+P1(f324(f324(f235(a1),f2(a1)),x77481)) % 194.45/194.28 [7749]P149(x77493,x77491,x77492)+E(x77491,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x77491),f869(x77492,x77491,x77493))),f866(x77492,x77491,x77493)),x77492)+P1(f324(f324(f235(a1),f2(a1)),x77491)) % 194.45/194.28 [7752]~P138(x77521)+~P1(f324(f324(f234(x77521),x77523),f2(x77521)))+P1(f324(f324(f234(x77521),f324(f324(f80(x77521),x77522),x77523)),f2(x77521)))+~P1(f324(f324(f234(x77521),f2(x77521)),x77522)) % 194.45/194.28 [7754]~P138(x77541)+~P1(f324(f324(f234(x77541),x77542),f2(x77541)))+P1(f324(f324(f234(x77541),f324(f324(f80(x77541),x77542),x77543)),f2(x77541)))+~P1(f324(f324(f234(x77541),f2(x77541)),x77543)) % 194.45/194.28 [7755]~P130(x77551)+~P1(f324(f324(f234(x77551),x77553),f2(x77551)))+P1(f324(f324(f234(x77551),f324(f324(f80(x77551),x77552),x77553)),f2(x77551)))+~P1(f324(f324(f234(x77551),f2(x77551)),x77552)) % 194.45/194.28 [7756]~P130(x77561)+~P1(f324(f324(f234(x77561),x77562),f2(x77561)))+P1(f324(f324(f234(x77561),f324(f324(f80(x77561),x77562),x77563)),f2(x77561)))+~P1(f324(f324(f234(x77561),f2(x77561)),x77563)) % 194.45/194.28 [7757]~P72(x77571)+~P1(f324(f324(f234(x77571),x77573),f2(x77571)))+P1(f324(f324(f234(x77571),f324(f324(f287(x77571),x77572),x77573)),f2(x77571)))+~P1(f324(f324(f234(x77571),f2(x77571)),x77572)) % 194.45/194.28 [7758]~P72(x77581)+~P1(f324(f324(f234(x77581),x77582),f2(x77581)))+P1(f324(f324(f234(x77581),f324(f324(f287(x77581),x77582),x77583)),f2(x77581)))+~P1(f324(f324(f234(x77581),f2(x77581)),x77583)) % 194.45/194.28 [7759]~P73(x77591)+~P1(f324(f324(f234(x77591),x77592),f2(x77591)))+P1(f324(f324(f234(x77591),f324(f324(f287(x77591),x77592),x77593)),f2(x77591)))+~P1(f324(f324(f235(x77591),f2(x77591)),x77593)) % 194.45/194.28 [7760]~P73(x77601)+~P1(f324(f324(f235(x77601),x77603),f2(x77601)))+P1(f324(f324(f234(x77601),f324(f324(f287(x77601),x77602),x77603)),f2(x77601)))+~P1(f324(f324(f234(x77601),f2(x77601)),x77602)) % 194.45/194.28 [7762]~P137(x77621)+~P1(f324(f324(f235(x77621),x77623),f2(x77621)))+P1(f324(f324(f235(x77621),f324(f324(f80(x77621),x77622),x77623)),f2(x77621)))+~P1(f324(f324(f235(x77621),f2(x77621)),x77622)) % 194.45/194.28 [7763]~P137(x77631)+~P1(f324(f324(f235(x77631),x77632),f2(x77631)))+P1(f324(f324(f235(x77631),f324(f324(f80(x77631),x77632),x77633)),f2(x77631)))+~P1(f324(f324(f235(x77631),f2(x77631)),x77633)) % 194.45/194.28 [7764]~P72(x77641)+~P1(f324(f324(f235(x77641),x77643),f2(x77641)))+P1(f324(f324(f235(x77641),f324(f324(f287(x77641),x77642),x77643)),f2(x77641)))+~P1(f324(f324(f235(x77641),f2(x77641)),x77642)) % 194.45/194.28 [7765]~P72(x77651)+~P1(f324(f324(f235(x77651),x77652),f2(x77651)))+P1(f324(f324(f235(x77651),f324(f324(f287(x77651),x77652),x77653)),f2(x77651)))+~P1(f324(f324(f235(x77651),f2(x77651)),x77653)) % 194.45/194.28 [7766]~P73(x77661)+~P1(f324(f324(f235(x77661),x77663),f2(x77661)))+P1(f324(f324(f235(x77661),f324(f324(f287(x77661),x77662),x77663)),f2(x77661)))+~P1(f324(f324(f235(x77661),f2(x77661)),x77662)) % 194.45/194.28 [7767]~P73(x77671)+~P1(f324(f324(f235(x77671),x77672),f2(x77671)))+P1(f324(f324(f235(x77671),f324(f324(f287(x77671),x77672),x77673)),f2(x77671)))+~P1(f324(f324(f235(x77671),f2(x77671)),x77673)) % 194.45/194.28 [7782]P149(x77821,x77822,x77823)+~P1(f324(x77821,x77823))+P1(f324(f324(f235(a1),x77822),f866(x77823,x77822,x77821)))+P1(f324(f324(f235(a1),f867(x77823,x77822,x77821)),x77822)) % 194.45/194.28 [7795]P150(x77951,x77952,x77953)+P1(f324(f324(f235(a1),x77952),f862(x77953,x77952,x77951)))+~P1(f324(x77951,f2(a1)))+P1(f324(f324(f235(a1),f863(x77953,x77952,x77951)),x77952)) % 194.45/194.28 [7846]P150(x78462,x78461,x78463)+E(x78461,f2(a1))+~P1(f324(x78462,f865(x78463,x78461,x78462)))+P1(f324(f324(f235(a1),f863(x78463,x78461,x78462)),x78461)) % 194.45/194.28 [7847]P149(x78472,x78471,x78473)+E(x78471,f2(a1))+~P1(f324(x78472,f866(x78473,x78471,x78472)))+P1(f324(f324(f235(a1),f867(x78473,x78471,x78472)),x78471)) % 194.45/194.28 [7857]P149(x78573,x78571,x78572)+~P1(f324(x78573,x78572))+E(f324(f324(f79(a1),f324(f324(f80(a1),x78571),f869(x78572,x78571,x78573))),f866(x78572,x78571,x78573)),x78572)+P1(f324(f324(f235(a1),f2(a1)),x78571)) % 194.45/194.28 [7872]P150(x78723,x78721,x78722)+E(f324(f324(f79(a1),f324(f324(f80(a1),x78721),f865(x78722,x78721,x78723))),f862(x78722,x78721,x78723)),x78722)+~P1(f324(x78723,f2(a1)))+P1(f324(f324(f235(a1),f2(a1)),x78721)) % 194.45/194.28 [7900]~P1(f324(x79001,x79003))+~P1(f324(f61(x79002),x79003))+P1(f324(f324(f326(x79002),f887(x79001,x79003,x79002)),f870(x79001,x79003,x79002)))+P1(f324(x79001,f189(f928(x79002,a916)))) % 194.45/194.28 [7911]P149(x79111,x79112,x79113)+~P1(f324(x79111,x79113))+~P1(f324(x79111,f866(x79113,x79112,x79111)))+P1(f324(f324(f235(a1),f867(x79113,x79112,x79111)),x79112)) % 194.45/194.28 [7917]P150(x79171,x79172,x79173)+~P1(f324(x79171,f865(x79173,x79172,x79171)))+~P1(f324(x79171,f2(a1)))+P1(f324(f324(f235(a1),f863(x79173,x79172,x79171)),x79172)) % 194.45/194.28 [8024]~P130(x80241)+~P1(f324(f324(f234(x80241),f324(f324(f80(x80241),x80243),x80242)),f2(x80241)))+P1(f324(f324(f234(x80241),x80242),f2(x80241)))+P1(f324(f324(f234(x80241),f2(x80241)),x80242)) % 194.45/194.28 [8025]~P130(x80251)+~P1(f324(f324(f234(x80251),f324(f324(f80(x80251),x80252),x80253)),f2(x80251)))+P1(f324(f324(f234(x80251),x80252),f2(x80251)))+P1(f324(f324(f234(x80251),f2(x80251)),x80252)) % 194.45/194.28 [8026]~P72(x80261)+~P1(f324(f324(f234(x80261),f324(f324(f287(x80261),x80263),x80262)),f2(x80261)))+P1(f324(f324(f234(x80261),x80262),f2(x80261)))+P1(f324(f324(f234(x80261),f2(x80261)),x80262)) % 194.45/194.28 [8027]~P72(x80271)+~P1(f324(f324(f234(x80271),f324(f324(f287(x80271),x80272),x80273)),f2(x80271)))+P1(f324(f324(f234(x80271),x80272),f2(x80271)))+P1(f324(f324(f234(x80271),f2(x80271)),x80272)) % 194.45/194.28 [8028]~P72(x80281)+~P1(f324(f324(f235(x80281),f324(f324(f287(x80281),x80283),x80282)),f2(x80281)))+P1(f324(f324(f235(x80281),x80282),f2(x80281)))+P1(f324(f324(f235(x80281),f2(x80281)),x80282)) % 194.45/194.28 [8029]~P72(x80291)+~P1(f324(f324(f235(x80291),f324(f324(f287(x80291),x80292),x80293)),f2(x80291)))+P1(f324(f324(f235(x80291),x80292),f2(x80291)))+P1(f324(f324(f235(x80291),f2(x80291)),x80292)) % 194.45/194.28 [8053]~P130(x80531)+~P1(f324(f324(f234(x80531),f324(f324(f80(x80531),x80532),x80533)),f2(x80531)))+P1(f324(f324(f234(x80531),f2(x80531)),x80532))+P1(f324(f324(f234(x80531),f2(x80531)),x80533)) % 194.45/194.28 [8054]~P72(x80541)+~P1(f324(f324(f234(x80541),f324(f324(f287(x80541),x80542),x80543)),f2(x80541)))+P1(f324(f324(f234(x80541),f2(x80541)),x80542))+P1(f324(f324(f234(x80541),f2(x80541)),x80543)) % 194.45/194.28 [8055]~P72(x80551)+~P1(f324(f324(f235(x80551),f324(f324(f287(x80551),x80552),x80553)),f2(x80551)))+P1(f324(f324(f235(x80551),f2(x80551)),x80552))+P1(f324(f324(f235(x80551),f2(x80551)),x80553)) % 194.45/194.28 [8077]P150(x80772,x80771,x80773)+E(x80771,f2(a1))+P1(f324(f324(f234(a1),f862(x80773,x80771,x80772)),f2(a1)))+P1(f324(f324(f235(a1),f863(x80773,x80771,x80772)),x80771)) % 194.45/194.28 [8078]P149(x80782,x80781,x80783)+E(x80781,f2(a1))+P1(f324(f324(f234(a1),f866(x80783,x80781,x80782)),f2(a1)))+P1(f324(f324(f235(a1),f867(x80783,x80781,x80782)),x80781)) % 194.45/194.28 [8085]~P129(x80851)+~P1(f324(f324(f235(x80851),x80852),f77(x80851)))+P1(f324(f324(f235(x80851),f324(f324(f244(x80851),x80852),f324(a114,x80853))),f77(x80851)))+~P1(f324(f324(f235(x80851),f2(x80851)),x80852)) % 194.45/194.28 [8143]~P112(x81431)+~E(x81433,f115(x81431))+~P10(x81431,f324(f168(x81431),x81433))+E(f324(f142(x81431,x81431,f324(f9(x81431,x81431,x81431),f233(x81431)),x81432),f324(f168(x81431),x81433)),x81432) % 194.45/194.28 [8147]P149(x81471,x81472,x81473)+~P1(f324(x81471,x81473))+P1(f324(f324(f234(a1),f866(x81473,x81472,x81471)),f2(a1)))+P1(f324(f324(f235(a1),f867(x81473,x81472,x81471)),x81472)) % 194.45/194.28 [8154]P150(x81541,x81542,x81543)+~P1(f324(x81541,f2(a1)))+P1(f324(f324(f234(a1),f862(x81543,x81542,x81541)),f2(a1)))+P1(f324(f324(f235(a1),f863(x81543,x81542,x81541)),x81542)) % 194.45/194.28 [8370]P150(x83703,x83701,x83702)+E(x83701,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x83701),f865(x83702,x83701,x83703))),f862(x83702,x83701,x83703)),x83702)+P1(f324(f324(f235(a1),f863(x83702,x83701,x83703)),x83701)) % 194.45/194.28 [8371]P149(x83713,x83711,x83712)+E(x83711,f2(a1))+E(f324(f324(f79(a1),f324(f324(f80(a1),x83711),f869(x83712,x83711,x83713))),f866(x83712,x83711,x83713)),x83712)+P1(f324(f324(f235(a1),f867(x83712,x83711,x83713)),x83711)) % 194.45/194.28 [8406]P149(x84063,x84061,x84062)+~P1(f324(x84063,x84062))+E(f324(f324(f79(a1),f324(f324(f80(a1),x84061),f869(x84062,x84061,x84063))),f866(x84062,x84061,x84063)),x84062)+P1(f324(f324(f235(a1),f867(x84062,x84061,x84063)),x84061)) % 194.45/194.28 [8407]~P77(x84071)+~P81(x84071)+~P39(x84073)+E(f324(f324(f8(a920,x84071),f324(f324(f10(a1,x84071,a920),x84072),f102(a1))),f324(f307(a1,a920,a106),x84073)),f324(f324(f8(a1,x84071),x84072),x84073)) % 194.45/194.28 [8408]~P77(x84081)+~P81(x84081)+~P39(x84083)+E(f324(f324(f11(a920,x84081),f324(f324(f10(a1,x84081,a920),x84082),f102(a1))),f324(f307(a1,a920,a106),x84083)),f324(f324(f11(a1,x84081),x84082),x84083)) % 194.45/194.28 [8417]P150(x84173,x84171,x84172)+E(f324(f324(f79(a1),f324(f324(f80(a1),x84171),f865(x84172,x84171,x84173))),f862(x84172,x84171,x84173)),x84172)+~P1(f324(x84173,f2(a1)))+P1(f324(f324(f235(a1),f863(x84172,x84171,x84173)),x84171)) % 194.45/194.28 [8439]~E(x84392,f2(a920))+~E(f324(f251(a920,a920),x84393),f2(a920))+~E(x84391,f324(f324(f79(a920),f324(f324(f80(a920),f324(f251(a920,a920),x84393)),x84392)),f324(f256(a920,a920),x84393)))+P1(f324(f48(x84391,x84392),x84393)) % 194.45/194.28 [8496]P1(f324(x84961,x84962))+~P1(f324(f324(f326(x84963),f403(x84961,x84962,x84963)),f402(x84961,x84962,x84963)))+~P1(f324(f61(x84963),x84962))+~P1(f324(x84961,f189(f928(x84963,a916)))) % 194.45/194.28 [9048]~P113(x90481)+~P113(x90482)+P38(x90481,x90482,x90483)+~P1(f324(f324(f234(x90482),f324(x90483,f438(x90483,x90481,x90482))),f324(x90483,f453(x90483,x90481,x90482)))) % 194.45/194.28 [9125]P1(f324(x91251,x91252))+~P1(f324(f61(x91253),x91252))+~P1(f324(x91251,f324(f324(f306(x91253),f403(x91251,x91252,x91253)),f402(x91251,x91252,x91253))))+~P1(f324(x91251,f189(f928(x91253,a916)))) % 194.45/194.28 [9373]P1(f324(f324(f234(a1),x93731),f2(a1)))+~P1(f324(f324(f235(a1),f324(f324(f79(a1),f324(f324(f80(a1),x93733),x93731)),x93732)),f2(a1)))+~P1(f324(f324(f234(a1),f2(a1)),x93732))+~P1(f324(f324(f235(a1),f2(a1)),x93733)) % 194.45/194.28 [5939]~P105(x59392)+E(x59391,f189(f928(x59392,a916)))+~P1(f324(f61(x59392),x59391))+E(f12(x59392,f324(f324(f306(x59392),x59393),x59391)),f324(f324(f103(x59392),x59393),f12(x59392,x59391))) % 194.45/194.28 [5940]~P105(x59402)+E(x59401,f189(f928(x59402,a916)))+~P1(f324(f61(x59402),x59401))+E(f15(x59402,f324(f324(f306(x59402),x59403),x59401)),f324(f324(f112(x59402),x59403),f15(x59402,x59401))) % 194.45/194.28 [5941]~P112(x59412)+E(x59411,f189(f928(x59412,a916)))+~P1(f324(f61(x59412),x59411))+E(f16(x59412,f324(f324(f306(x59412),x59413),x59411)),f324(f324(f188(x59412),x59413),f16(x59412,x59411))) % 194.45/194.28 [5942]~P112(x59422)+E(x59421,f189(f928(x59422,a916)))+~P1(f324(f61(x59422),x59421))+E(f17(x59422,f324(f324(f306(x59422),x59423),x59421)),f324(f324(f233(x59422),x59423),f17(x59422,x59421))) % 194.45/194.28 [6262]~P130(x62621)+~E(x62623,f2(x62621))+~E(x62622,f2(x62621))+E(f324(f324(f79(x62621),f324(f324(f80(x62621),x62622),x62622)),f324(f324(f80(x62621),x62623),x62623)),f2(x62621)) % 194.45/194.28 [6331]~P103(x63312)+E(x63311,f189(f928(x63312,a916)))+~P1(f324(f61(x63312),x63311))+E(f324(f63(x63312,f80(x63312)),f324(f324(f306(x63312),x63313),x63311)),f324(f324(f80(x63312),x63313),f324(f63(x63312,f80(x63312)),x63311))) % 194.45/194.28 [6456]~P112(x64562)+E(x64561,f189(f928(x64562,a916)))+~P1(f324(f61(x64562),x64561))+E(f13(x64562,f188(x64562),f324(f324(f306(x64562),x64563),x64561)),f324(f324(f188(x64562),x64563),f13(x64562,f188(x64562),x64561))) % 194.45/194.28 [6457]~P112(x64572)+E(x64571,f189(f928(x64572,a916)))+~P1(f324(f61(x64572),x64571))+E(f14(x64572,f233(x64572),f324(f324(f306(x64572),x64573),x64571)),f324(f324(f233(x64572),x64573),f14(x64572,f233(x64572),x64571))) % 194.45/194.28 [6965]~P75(x69651)+~P1(f324(f61(x69651),x69653))+E(f324(f63(x69651,f80(x69651)),f324(f324(f306(x69651),x69652),x69653)),f324(f324(f64(x69651,x69651,f80(x69651)),x69652),x69653))+P1(f324(f324(f326(x69651),x69652),x69653)) % 194.45/194.28 [7046]~E(f324(f324(f79(a1),x70462),f324(f324(f80(a1),x70463),x70461)),x70463)+~P1(f324(f324(f235(a1),f2(a1)),x70463))+P1(f324(f324(f234(a1),f77(a1)),x70461))+~P1(f324(f324(f235(a1),x70462),x70463)) % 194.45/194.28 [7074]~E(f324(f324(f79(a1),x70742),f324(f324(f80(a1),x70743),x70741)),x70743)+P1(f324(f324(f234(a1),x70741),f77(a1)))+~P1(f324(f324(f234(a1),f2(a1)),x70742))+~P1(f324(f324(f235(a1),f2(a1)),x70743)) % 194.45/194.28 [7089]E(x70891,f2(a920))+~P1(f324(f48(x70893,x70891),x70892))+~P1(f324(f324(f235(a920),f2(a920)),x70891))+P1(f324(f324(f235(a920),f324(f256(a920,a920),x70892)),x70891)) % 194.45/194.28 [7121]~P141(x71211)+~P1(f324(f324(f234(x71211),x71212),f2(x71211)))+~P1(f324(f324(f234(x71211),x71213),f2(x71211)))+E(f324(f324(f80(x71211),f324(f75(x71211),x71212)),f324(f75(x71211),x71213)),f324(f75(x71211),f324(f324(f80(x71211),x71212),x71213))) % 194.45/194.28 [7167]~P141(x71671)+~P1(f324(f324(f234(x71671),x71672),f2(x71671)))+E(f324(f324(f80(x71671),f324(f75(x71671),x71672)),f324(f75(x71671),x71673)),f324(f75(x71671),f324(f324(f80(x71671),x71672),x71673)))+~P1(f324(f324(f234(x71671),f2(x71671)),x71673)) % 194.45/194.28 [7168]~P141(x71681)+~P1(f324(f324(f234(x71681),x71683),f2(x71681)))+E(f324(f324(f80(x71681),f324(f75(x71681),x71682)),f324(f75(x71681),x71683)),f324(f75(x71681),f324(f324(f80(x71681),x71682),x71683)))+~P1(f324(f324(f234(x71681),f2(x71681)),x71682)) % 194.45/194.28 [7225]~P141(x72251)+E(f324(f324(f80(x72251),f324(f75(x72251),x72252)),f324(f75(x72251),x72253)),f324(f75(x72251),f324(f324(f80(x72251),x72252),x72253)))+~P1(f324(f324(f234(x72251),f2(x72251)),x72252))+~P1(f324(f324(f234(x72251),f2(x72251)),x72253)) % 194.45/194.28 [7242]~P128(x72421)+~P1(f324(f324(f234(x72421),x72423),f2(x72421)))+~P1(f324(f324(f234(x72421),x72422),f2(x72421)))+P1(f324(f324(f234(x72421),f2(x72421)),f324(f324(f80(x72421),x72422),x72423))) % 194.45/194.28 [7243]~P130(x72431)+~P1(f324(f324(f234(x72431),x72433),f2(x72431)))+~P1(f324(f324(f234(x72431),x72432),f2(x72431)))+P1(f324(f324(f234(x72431),f2(x72431)),f324(f324(f80(x72431),x72432),x72433))) % 194.45/194.28 [7244]~P72(x72441)+~P1(f324(f324(f234(x72441),x72443),f2(x72441)))+~P1(f324(f324(f234(x72441),x72442),f2(x72441)))+P1(f324(f324(f234(x72441),f2(x72441)),f324(f324(f287(x72441),x72442),x72443))) % 194.45/194.28 [7245]~P73(x72451)+~P1(f324(f324(f235(x72451),x72453),f2(x72451)))+~P1(f324(f324(f234(x72451),x72452),f2(x72451)))+P1(f324(f324(f234(x72451),f2(x72451)),f324(f324(f287(x72451),x72452),x72453))) % 194.45/194.28 [7246]~P130(x72461)+~P1(f324(f324(f235(x72461),x72463),f2(x72461)))+~P1(f324(f324(f235(x72461),x72462),f2(x72461)))+P1(f324(f324(f235(x72461),f2(x72461)),f324(f324(f80(x72461),x72462),x72463))) % 194.45/194.28 [7247]~P72(x72471)+~P1(f324(f324(f235(x72471),x72473),f2(x72471)))+~P1(f324(f324(f235(x72471),x72472),f2(x72471)))+P1(f324(f324(f235(x72471),f2(x72471)),f324(f324(f287(x72471),x72472),x72473))) % 194.45/194.28 [7248]~P73(x72481)+~P1(f324(f324(f235(x72481),x72483),f2(x72481)))+~P1(f324(f324(f235(x72481),x72482),f2(x72481)))+P1(f324(f324(f235(x72481),f2(x72481)),f324(f324(f287(x72481),x72482),x72483))) % 194.45/194.28 [7249]~P129(x72491)+~P1(f324(f324(f235(a920),f2(a920)),x72493))+~P1(f324(f324(f235(x72491),f77(x72491)),x72492))+P1(f324(f324(f235(x72491),f77(x72491)),f324(f324(f244(x72491),x72492),x72493))) % 194.45/194.28 [7346]~P128(x73461)+~P1(f324(f324(f234(x73461),f2(x73461)),x73463))+~P1(f324(f324(f234(x73461),f2(x73461)),x73462))+P1(f324(f324(f234(x73461),f2(x73461)),f324(f324(f80(x73461),x73462),x73463))) % 194.45/194.28 [7347]~P138(x73471)+~P1(f324(f324(f234(x73471),f2(x73471)),x73473))+~P1(f324(f324(f234(x73471),f2(x73471)),x73472))+P1(f324(f324(f234(x73471),f2(x73471)),f324(f324(f80(x73471),x73472),x73473))) % 194.45/194.28 [7348]~P130(x73481)+~P1(f324(f324(f234(x73481),f2(x73481)),x73483))+~P1(f324(f324(f234(x73481),f2(x73481)),x73482))+P1(f324(f324(f234(x73481),f2(x73481)),f324(f324(f80(x73481),x73482),x73483))) % 194.45/194.28 [7350]~P72(x73501)+~P1(f324(f324(f234(x73501),f2(x73501)),x73503))+~P1(f324(f324(f234(x73501),f2(x73501)),x73502))+P1(f324(f324(f234(x73501),f2(x73501)),f324(f324(f287(x73501),x73502),x73503))) % 194.45/194.28 [7351]~P73(x73511)+~P1(f324(f324(f235(x73511),f2(x73511)),x73513))+~P1(f324(f324(f234(x73511),f2(x73511)),x73512))+P1(f324(f324(f234(x73511),f2(x73511)),f324(f324(f287(x73511),x73512),x73513))) % 194.45/194.28 [7352]~P129(x73521)+~P1(f324(f324(f235(x73521),f77(x73521)),x73523))+~P1(f324(f324(f235(x73521),f77(x73521)),x73522))+P1(f324(f324(f235(x73521),f77(x73521)),f324(f324(f80(x73521),x73522),x73523))) % 194.45/194.28 [7353]~P137(x73531)+~P1(f324(f324(f235(x73531),f2(x73531)),x73533))+~P1(f324(f324(f235(x73531),f2(x73531)),x73532))+P1(f324(f324(f235(x73531),f2(x73531)),f324(f324(f80(x73531),x73532),x73533))) % 194.45/194.28 [7356]~P96(x73561)+~P1(f324(f324(f235(x73561),f2(x73561)),x73563))+~P1(f324(f324(f235(x73561),f2(x73561)),x73562))+P1(f324(f324(f235(x73561),f2(x73561)),f324(f324(f79(x73561),x73562),x73563))) % 194.45/194.28 [7357]~P72(x73571)+~P1(f324(f324(f235(x73571),f2(x73571)),x73573))+~P1(f324(f324(f235(x73571),f2(x73571)),x73572))+P1(f324(f324(f235(x73571),f2(x73571)),f324(f324(f287(x73571),x73572),x73573))) % 194.45/194.28 [7358]~P73(x73581)+~P1(f324(f324(f235(x73581),f2(x73581)),x73583))+~P1(f324(f324(f235(x73581),f2(x73581)),x73582))+P1(f324(f324(f235(x73581),f2(x73581)),f324(f324(f287(x73581),x73582),x73583))) % 194.45/194.28 [7439]~P105(x74391)+~P1(f324(f61(x74391),x74393))+E(f12(x74391,f324(f324(f306(x74391),x74392),x74393)),x74392)+~E(f324(f324(f3(f928(x74391,a916)),x74393),f324(f324(f306(x74391),x74392),f189(f928(x74391,a916)))),f189(f928(x74391,a916))) % 194.45/194.28 [7440]~P105(x74401)+~P1(f324(f61(x74401),x74403))+E(f15(x74401,f324(f324(f306(x74401),x74402),x74403)),x74402)+~E(f324(f324(f3(f928(x74401,a916)),x74403),f324(f324(f306(x74401),x74402),f189(f928(x74401,a916)))),f189(f928(x74401,a916))) % 194.45/194.28 [7441]~P112(x74411)+~P1(f324(f61(x74411),x74413))+E(f16(x74411,f324(f324(f306(x74411),x74412),x74413)),x74412)+~E(f324(f324(f3(f928(x74411,a916)),x74413),f324(f324(f306(x74411),x74412),f189(f928(x74411,a916)))),f189(f928(x74411,a916))) % 194.45/194.28 [7442]~P112(x74421)+~P1(f324(f61(x74421),x74423))+E(f17(x74421,f324(f324(f306(x74421),x74422),x74423)),x74422)+~E(f324(f324(f3(f928(x74421,a916)),x74423),f324(f324(f306(x74421),x74422),f189(f928(x74421,a916)))),f189(f928(x74421,a916))) % 194.45/194.28 [7444]~P130(x74441)+P1(f324(f324(f234(x74441),x74442),f2(x74441)))+P1(f324(f324(f234(x74441),f2(x74441)),x74443))+~P1(f324(f324(f234(x74441),f2(x74441)),f324(f324(f80(x74441),x74443),x74442))) % 194.45/194.28 [7445]~P130(x74451)+P1(f324(f324(f234(x74451),x74452),f2(x74451)))+P1(f324(f324(f234(x74451),f2(x74451)),x74453))+~P1(f324(f324(f234(x74451),f2(x74451)),f324(f324(f80(x74451),x74452),x74453))) % 194.45/194.28 [7446]~P72(x74461)+P1(f324(f324(f234(x74461),x74462),f2(x74461)))+P1(f324(f324(f234(x74461),f2(x74461)),x74463))+~P1(f324(f324(f234(x74461),f2(x74461)),f324(f324(f287(x74461),x74463),x74462))) % 194.45/194.28 [7447]~P72(x74471)+P1(f324(f324(f234(x74471),x74472),f2(x74471)))+P1(f324(f324(f234(x74471),f2(x74471)),x74473))+~P1(f324(f324(f234(x74471),f2(x74471)),f324(f324(f287(x74471),x74472),x74473))) % 194.45/194.28 [7448]~P130(x74481)+P1(f324(f324(f234(x74481),x74482),f2(x74481)))+P1(f324(f324(f234(x74481),f2(x74481)),x74482))+~P1(f324(f324(f234(x74481),f2(x74481)),f324(f324(f80(x74481),x74483),x74482))) % 194.45/194.28 [7449]~P130(x74491)+P1(f324(f324(f234(x74491),x74492),f2(x74491)))+P1(f324(f324(f234(x74491),f2(x74491)),x74492))+~P1(f324(f324(f234(x74491),f2(x74491)),f324(f324(f80(x74491),x74492),x74493))) % 194.45/194.28 [7450]~P72(x74501)+P1(f324(f324(f234(x74501),x74502),f2(x74501)))+P1(f324(f324(f234(x74501),f2(x74501)),x74502))+~P1(f324(f324(f234(x74501),f2(x74501)),f324(f324(f287(x74501),x74503),x74502))) % 194.45/194.28 [7451]~P72(x74511)+P1(f324(f324(f234(x74511),x74512),f2(x74511)))+P1(f324(f324(f234(x74511),f2(x74511)),x74512))+~P1(f324(f324(f234(x74511),f2(x74511)),f324(f324(f287(x74511),x74512),x74513))) % 194.45/194.28 [7452]~P72(x74521)+P1(f324(f324(f235(x74521),x74522),f2(x74521)))+P1(f324(f324(f235(x74521),f2(x74521)),x74523))+~P1(f324(f324(f235(x74521),f2(x74521)),f324(f324(f287(x74521),x74523),x74522))) % 194.45/194.28 [7453]~P72(x74531)+P1(f324(f324(f235(x74531),x74532),f2(x74531)))+P1(f324(f324(f235(x74531),f2(x74531)),x74533))+~P1(f324(f324(f235(x74531),f2(x74531)),f324(f324(f287(x74531),x74532),x74533))) % 194.45/194.28 [7454]~P72(x74541)+P1(f324(f324(f235(x74541),x74542),f2(x74541)))+P1(f324(f324(f235(x74541),f2(x74541)),x74542))+~P1(f324(f324(f235(x74541),f2(x74541)),f324(f324(f287(x74541),x74543),x74542))) % 194.45/194.28 [7455]~P72(x74551)+P1(f324(f324(f235(x74551),x74552),f2(x74551)))+P1(f324(f324(f235(x74551),f2(x74551)),x74552))+~P1(f324(f324(f235(x74551),f2(x74551)),f324(f324(f287(x74551),x74552),x74553))) % 194.45/194.28 [7544]~E(f324(f324(f103(f928(x75441,a916)),f324(f172(x75441),x75442)),f324(f172(x75441),x75443)),f189(f928(x75441,a916)))+~P1(f324(f137(x75441),x75443))+~P1(f324(f137(x75441),x75442))+P1(f324(f137(x75441),f324(f324(f134(x75441),x75442),x75443))) % 194.45/194.28 [7545]~P112(x75451)+~P1(f324(f61(x75451),x75453))+E(f13(x75451,f188(x75451),f324(f324(f306(x75451),x75452),x75453)),x75452)+~E(f324(f324(f3(f928(x75451,a916)),x75453),f324(f324(f306(x75451),x75452),f189(f928(x75451,a916)))),f189(f928(x75451,a916))) % 194.45/194.28 [7546]~P112(x75461)+~P1(f324(f61(x75461),x75463))+E(f14(x75461,f233(x75461),f324(f324(f306(x75461),x75462),x75463)),x75462)+~E(f324(f324(f3(f928(x75461,a916)),x75463),f324(f324(f306(x75461),x75462),f189(f928(x75461,a916)))),f189(f928(x75461,a916))) % 194.45/194.28 [7563]~P95(x75631)+~P1(f324(f324(f234(x75631),x75632),x75633))+~P1(f324(f324(f234(x75631),f324(f78(x75631),x75632)),x75633))+P1(f324(f324(f234(x75631),f324(f75(x75631),x75632)),x75633)) % 194.45/194.28 [7564]~P125(x75641)+~P1(f324(f324(f235(x75641),x75642),x75643))+~P1(f324(f324(f235(x75641),f324(f78(x75641),x75642)),x75643))+P1(f324(f324(f235(x75641),f324(f75(x75641),x75642)),x75643)) % 194.45/194.28 [7634]~P137(x76341)+P1(f324(f324(f235(x76341),f2(x76341)),x76342))+~P1(f324(f324(f235(x76341),f2(x76341)),x76343))+~P1(f324(f324(f235(x76341),f2(x76341)),f324(f324(f80(x76341),x76343),x76342))) % 194.45/194.28 [7635]~P137(x76351)+P1(f324(f324(f235(x76351),f2(x76351)),x76352))+~P1(f324(f324(f235(x76351),f2(x76351)),x76353))+~P1(f324(f324(f235(x76351),f2(x76351)),f324(f324(f80(x76351),x76352),x76353))) % 194.45/194.28 [7931]E(x79311,x79312)+~P1(f324(f61(x79313),x79311))+~P1(f324(f324(f234(a920),f324(f35(x79313),x79311)),f324(f35(x79313),x79312)))+~P1(f324(f324(f234(f928(x79313,a916)),x79312),x79311)) % 194.45/194.28 [8082]~P1(f324(f324(f235(a1),x80821),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x80822))+~P1(f324(f324(f234(a1),x80822),x80823))+P1(f324(f324(f234(a1),f324(f324(f36(a1),x80821),x80822)),f324(f324(f36(a1),x80821),x80823))) % 194.45/194.28 [8094]~P1(f324(f324(f234(a1),f2(a1)),x80941))+~P1(f324(f324(f235(a1),f2(a1)),x80943))+~P1(f324(f324(f234(a1),x80943),x80942))+P1(f324(f324(f234(a1),f324(f324(f36(a1),x80941),x80942)),f324(f324(f36(a1),x80941),x80943))) % 194.45/194.28 [8233]E(f324(x82331,f396(x82332,x82331,x82333)),x82332)+~P1(f324(f324(f234(a1),x82332),f324(x82331,x82333)))+P1(f324(f324(f235(a920),f397(x82332,x82331,x82333)),x82333))+~P1(f324(f324(f234(a1),f324(x82331,f2(a920))),x82332)) % 194.45/194.28 [8234]E(f324(x82341,f398(x82342,x82341,x82343)),x82342)+~P1(f324(f324(f234(a1),x82342),f324(x82341,x82343)))+P1(f324(f324(f235(a920),f399(x82342,x82341,x82343)),x82343))+~P1(f324(f324(f234(a1),f324(x82341,f2(a920))),x82342)) % 194.45/194.28 [8333]~P1(f324(f61(x83331),x83333))+~P1(f324(f324(f235(a920),f324(f35(x83331),x83332)),f324(f35(x83331),x83333)))+~P1(f324(f324(f234(f928(x83331,a916)),x83332),x83333))+P1(f324(f324(f235(f928(x83331,a916)),x83332),x83333)) % 194.45/194.28 [8360]E(f324(f324(f79(a1),f467(x83603,x83601,x83602)),f468(x83603,x83601,x83602)),x83601)+E(f324(f324(f3(a1),x83601),x83602),x83601)+~P1(f324(f324(f235(a1),f2(a1)),x83602))+~P1(f324(f324(f326(a1),f324(f324(f3(a1),x83601),f77(a1))),x83603)) % 194.45/194.28 [8361]E(f324(f324(f3(a1),f476(x83613,x83611,x83612)),f477(x83613,x83611,x83612)),x83611)+E(f324(f324(f79(a1),x83611),x83612),x83611)+~P1(f324(f324(f235(a1),f2(a1)),x83612))+~P1(f324(f324(f326(a1),f324(f324(f79(a1),x83611),f77(a1))),x83613)) % 194.45/194.28 [8412]~P1(f324(f324(f234(a920),x84123),x84121))+P1(f324(f324(f234(a920),x84121),x84122))+~P1(f324(f324(f234(a920),x84123),x84122))+~P1(f324(f324(f234(a920),f324(f324(f3(a920),x84121),x84123)),f324(f324(f3(a920),x84122),x84123))) % 194.45/194.28 [8413]~P1(f324(f324(f234(a920),x84133),x84131))+P1(f324(f324(f235(a920),x84131),x84132))+~P1(f324(f324(f234(a920),x84133),x84132))+~P1(f324(f324(f235(a920),f324(f324(f3(a920),x84131),x84133)),f324(f324(f3(a920),x84132),x84133))) % 194.45/194.28 [8432]~P112(x84322)+E(x84321,f115(x84322))+~P10(x84322,f324(f168(x84322),x84321))+E(f324(f142(x84322,x84322,f324(f9(x84322,x84322,x84322),f233(x84322)),x84323),f324(f168(x84322),x84321)),f324(f324(f233(x84322),f324(f324(f164(x84322),x84321),f2(a920))),x84323)) % 194.45/194.28 [8479]~P2(x84791)+~P38(x84791,x84791,x84793)+P1(f324(f324(f234(x84791),x84792),f98(x84791,x84793)))+~P1(f324(f324(f234(x84791),x84792),f324(x84793,f324(f324(f112(x84791),x84792),f98(x84791,x84793))))) % 194.45/194.28 [8501]E(f324(f324(f3(a1),x85011),x85012),x85011)+~P1(f324(f324(f235(a1),f2(a1)),x85012))+P1(f324(f324(f326(a1),f467(x85013,x85011,x85012)),x85013))+~P1(f324(f324(f326(a1),f324(f324(f3(a1),x85011),f77(a1))),x85013)) % 194.45/194.28 [8502]E(f324(f324(f79(a1),x85021),x85022),x85021)+~P1(f324(f324(f235(a1),f2(a1)),x85022))+P1(f324(f324(f326(a1),f476(x85023,x85021,x85022)),x85023))+~P1(f324(f324(f326(a1),f324(f324(f79(a1),x85021),f77(a1))),x85023)) % 194.45/194.28 [8574]~P1(f324(f324(f234(a1),x85741),f324(x85742,x85743)))+P1(f324(f324(f235(a920),f397(x85741,x85742,x85743)),x85743))+P1(f324(f324(f234(a920),f396(x85741,x85742,x85743)),x85743))+~P1(f324(f324(f234(a1),f324(x85742,f2(a920))),x85741)) % 194.45/194.28 [8575]~P1(f324(f324(f234(a1),x85751),f324(x85752,x85753)))+P1(f324(f324(f235(a920),f399(x85751,x85752,x85753)),x85753))+P1(f324(f324(f234(a920),f398(x85751,x85752,x85753)),x85753))+~P1(f324(f324(f234(a1),f324(x85752,f2(a920))),x85751)) % 194.45/194.28 [8652]E(f324(f324(f3(a1),x86521),x86522),x86521)+~P1(f324(f324(f235(a1),f2(a1)),x86522))+P1(f324(f324(f326(a1),f468(x86523,x86521,x86522)),f300(a1,f77(a1),x86522)))+~P1(f324(f324(f326(a1),f324(f324(f3(a1),x86521),f77(a1))),x86523)) % 194.45/194.28 [8653]E(f324(f324(f79(a1),x86531),x86532),x86531)+~P1(f324(f324(f235(a1),f2(a1)),x86532))+P1(f324(f324(f326(a1),f477(x86533,x86531,x86532)),f300(a1,f77(a1),x86532)))+~P1(f324(f324(f326(a1),f324(f324(f79(a1),x86531),f77(a1))),x86533)) % 194.45/194.28 [8785]~P129(x87851)+~P1(f324(f324(f235(x87851),x87852),f77(x87851)))+~P1(f324(f324(f235(x87851),f2(x87851)),x87852))+P1(f324(f324(f235(x87851),f324(f324(f80(x87851),x87852),f324(f324(f244(x87851),x87852),x87853))),f324(f324(f244(x87851),x87852),x87853))) % 194.45/194.28 [8877]~P1(f324(x88771,x88772))+P1(f324(x88771,f2(a920)))+~P1(f324(f324(f235(a920),x88772),x88773))+~P1(f324(x88771,f45(a920,f324(a114,f394(x88772,x88771,x88773)),x88773))) % 194.45/194.28 [9030]E(f450(x90301,x90302,x90303),f2(a920))+P1(f324(f324(x90301,x90303),x90302))+P1(f324(f324(x90301,f450(x90301,x90302,x90303)),f45(a920,f449(x90301,x90302,x90303),f450(x90301,x90302,x90303))))+~P1(f324(f312(f927(a920,a920),a220),f324(f324(f252(a920,a920),x90303),x90302))) % 194.45/194.28 [9068]~P22(x90681,x90681,x90682,x90683)+E(f324(f307(x90681,x90681,x90682),x90683),x90683)+~P1(f324(f61(x90681),x90683))+~P1(f324(f324(f234(f928(x90681,a916)),f324(f307(x90681,x90681,x90682),x90683)),x90683)) % 194.45/194.28 [9138]~P2(x91381)+~P38(x91381,x91381,x91383)+P1(f324(f324(f234(x91381),f324(f324(f112(x91381),x91382),f98(x91381,x91383))),f324(x91383,f324(f324(f112(x91381),x91382),f98(x91381,x91383)))))+~P1(f324(f324(f234(x91381),x91382),f324(x91383,f324(f324(f112(x91381),x91382),f98(x91381,x91383))))) % 194.45/194.28 [9292]P1(f324(f324(x92921,x92922),x92923))+P1(f324(f324(f235(a1),f802(x92921,x92923,x92922)),f803(x92921,x92923,x92922)))+P1(f324(f324(x92921,f802(x92921,x92923,x92922)),f324(f324(f79(a1),f803(x92921,x92923,x92922)),f77(a1))))+~P1(f324(f312(f927(a1,a1),a133),f324(f324(f252(a1,a1),x92922),x92923))) % 194.45/194.28 [9311]P1(f324(f324(x93111,x93112),x93113))+~P1(f324(f324(f235(a1),f448(x93111,x93113,x93112)),f2(a1)))+P1(f324(f324(x93111,f324(f78(a1),f445(x93111,x93113,x93112))),f324(f78(a1),f448(x93111,x93113,x93112))))+~P1(f324(f312(f927(a1,a1),a222),f324(f324(f252(a1,a1),x93112),x93113))) % 194.45/194.28 [9504]P1(f324(f324(x95041,x95042),x95043))+P1(f324(f324(x95041,f324(f324(f79(a1),f706(x95041,x95043,x95042)),f77(a1))),f708(x95041,x95043,x95042)))+~P1(f324(f324(f234(a1),f706(x95041,x95043,x95042)),f708(x95041,x95043,x95042)))+~P1(f324(f312(f927(a1,a1),a182),f324(f324(f252(a1,a1),x95042),x95043))) % 194.45/194.28 [9942]~P69(x99422)+~P69(x99421)+~P1(f324(f56(f927(x99421,x99422)),x99423))+P1(f324(f56(x99421),f324(f324(f10(f928(x99422,a916),a916,x99421),f56(x99422)),f324(f324(f10(f928(x99422,f927(x99421,x99422)),f928(x99422,a916),x99421),f324(f10(f927(x99421,x99422),a916,x99422),x99423)),f252(x99421,x99422))))) % 194.45/194.28 [9943]~P69(x99432)+~P69(x99431)+~P1(f324(f57(f927(x99431,x99432)),x99433))+P1(f324(f57(x99431),f324(f324(f10(f928(x99432,a916),a916,x99431),f57(x99432)),f324(f324(f10(f928(x99432,f927(x99431,x99432)),f928(x99432,a916),x99431),f324(f10(f927(x99431,x99432),a916,x99432),x99433)),f252(x99431,x99432))))) % 194.45/194.28 [10039]~P69(x100392)+~P69(x100391)+P1(f324(f56(f927(x100391,x100392)),x100393))+~P1(f324(f56(x100391),f324(f324(f10(f928(x100392,a916),a916,x100391),f56(x100392)),f324(f324(f10(f928(x100392,f927(x100391,x100392)),f928(x100392,a916),x100391),f324(f10(f927(x100391,x100392),a916,x100392),x100393)),f252(x100391,x100392))))) % 194.45/194.28 [10040]~P69(x100402)+~P69(x100401)+P1(f324(f57(f927(x100401,x100402)),x100403))+~P1(f324(f57(x100401),f324(f324(f10(f928(x100402,a916),a916,x100401),f57(x100402)),f324(f324(f10(f928(x100402,f927(x100401,x100402)),f928(x100402,a916),x100401),f324(f10(f927(x100401,x100402),a916,x100402),x100403)),f252(x100401,x100402))))) % 194.45/194.28 [10198]E(f324(x101981,f396(x101982,x101981,x101983)),x101982)+~P1(f324(f324(f234(a1),x101982),f324(x101981,x101983)))+~P1(f324(f324(f234(a1),f324(f75(a1),f324(f324(f3(a1),f324(x101981,f324(f324(f79(a920),f397(x101982,x101981,x101983)),f77(a920)))),f324(x101981,f397(x101982,x101981,x101983))))),f77(a1)))+~P1(f324(f324(f234(a1),f324(x101981,f2(a920))),x101982)) % 194.45/194.28 [10199]E(f324(x101991,f398(x101992,x101991,x101993)),x101992)+~P1(f324(f324(f234(a1),x101992),f324(x101991,x101993)))+~P1(f324(f324(f234(a1),f324(f75(a1),f324(f324(f3(a1),f324(x101991,f324(f324(f79(a920),f399(x101992,x101991,x101993)),f77(a920)))),f324(x101991,f399(x101992,x101991,x101993))))),f77(a1)))+~P1(f324(f324(f234(a1),f324(x101991,f2(a920))),x101992)) % 194.45/194.28 [10202]~P1(f324(f324(f234(a1),x102021),f324(x102022,x102023)))+~P1(f324(f324(f234(a1),f324(f75(a1),f324(f324(f3(a1),f324(x102022,f324(f324(f79(a920),f397(x102021,x102022,x102023)),f77(a920)))),f324(x102022,f397(x102021,x102022,x102023))))),f77(a1)))+P1(f324(f324(f234(a920),f396(x102021,x102022,x102023)),x102023))+~P1(f324(f324(f234(a1),f324(x102022,f2(a920))),x102021)) % 194.45/194.28 [10203]~P1(f324(f324(f234(a1),x102031),f324(x102032,x102033)))+~P1(f324(f324(f234(a1),f324(f75(a1),f324(f324(f3(a1),f324(x102032,f324(f324(f79(a920),f399(x102031,x102032,x102033)),f77(a920)))),f324(x102032,f399(x102031,x102032,x102033))))),f77(a1)))+P1(f324(f324(f234(a920),f398(x102031,x102032,x102033)),x102033))+~P1(f324(f324(f234(a1),f324(x102032,f2(a920))),x102031)) % 194.45/194.28 [10263]E(x102631,x102632)+~E(f324(f142(f921(x102633),f921(x102633),f134(x102633),f115(x102633)),x102631),f324(f142(f921(x102633),f921(x102633),f134(x102633),f115(x102633)),x102632))+~E(f324(f190(f921(f921(x102633))),x102631),f324(f190(f921(f921(x102633))),x102632))+~P1(f324(f324(f257(f921(x102633),f921(x102633),a916),f324(f324(f9(f921(x102633),f928(f921(x102633),a920),f928(f921(x102633),a916)),f324(f324(f10(f928(a920,a916),f928(f928(f921(x102633),a920),f928(f921(x102633),a916)),f921(x102633)),f10(a920,a916,f921(x102633))),f324(f324(f10(a920,f928(a920,a916),f921(x102633)),a321),f190(f921(x102633))))),f190(f921(x102633)))),f733(x102632,x102631,x102633))) % 194.45/194.28 [10264]E(x102641,x102642)+~E(f324(f142(f921(x102643),f921(x102643),f134(x102643),f115(x102643)),x102641),f324(f142(f921(x102643),f921(x102643),f134(x102643),f115(x102643)),x102642))+~E(f324(f190(f921(f921(x102643))),x102641),f324(f190(f921(f921(x102643))),x102642))+~P1(f324(f324(f257(f921(x102643),f921(x102643),a916),f324(f324(f9(f921(x102643),f928(f921(x102643),a920),f928(f921(x102643),a916)),f324(f324(f10(f928(a920,a916),f928(f928(f921(x102643),a920),f928(f921(x102643),a916)),f921(x102643)),f10(a920,a916,f921(x102643))),f324(f324(f10(a920,f928(a920,a916),f921(x102643)),a321),f190(f921(x102643))))),f190(f921(x102643)))),f734(x102641,x102642,x102643))) % 194.45/194.28 [6953]~E(f77(a920),f2(a920))+~P1(f324(f61(x69531),x69533))+~P1(f324(f61(x69531),x69532))+E(f324(f324(f79(a920),f324(f35(x69531),x69532)),f324(f35(x69531),x69533)),f324(f35(x69531),f324(f324(f112(f928(x69531,a916)),x69532),x69533))) % 194.45/194.28 [7365]~P63(x73651)+~P1(f324(f61(x73651),x73652))+~P1(f324(f324(f326(x73651),x73653),x73652))+P1(f324(f324(f234(x73651),f324(f63(x73651,f103(x73651)),x73652)),x73653)) % 194.45/194.28 [7366]~P112(x73661)+~P1(f324(f61(x73661),x73662))+~P1(f324(f324(f326(x73661),x73663),x73662))+P1(f324(f324(f234(x73661),f324(f63(x73661,f188(x73661)),x73662)),x73663)) % 194.45/194.28 [7628]~P1(f324(f61(x76281),x76283))+~P1(f324(f61(x76281),x76282))+~E(f324(f324(f103(f928(x76281,a916)),x76282),x76283),f189(f928(x76281,a916)))+E(f324(f324(f79(a920),f324(f35(x76281),x76282)),f324(f35(x76281),x76283)),f324(f35(x76281),f324(f324(f112(f928(x76281,a916)),x76282),x76283))) % 194.45/194.28 [8418]~P35(x84181,x84183)+~P35(x84181,x84182)+~E(f324(f324(f103(f928(x84181,a916)),f324(f264(x84181,x84181),x84182)),f324(f282(x84181,x84181),x84183)),f189(f928(x84181,a916)))+P35(x84181,f324(f324(f112(f928(f927(x84181,x84181),a916)),x84182),x84183)) % 194.45/194.28 [8513]E(x85131,f324(f324(f36(a920),x85132),x85133))+~P1(f324(f324(f235(a920),f2(a920)),x85133))+~P1(f324(f324(f235(a920),x85132),f324(f324(f80(a920),x85133),f324(a114,x85131))))+~P1(f324(f324(f234(a920),f324(f324(f80(a920),x85133),x85131)),x85132)) % 194.45/194.28 [8650]~P1(f324(f61(x86501),x86502))+~P1(f324(f61(x86501),x86503))+E(f324(f324(f79(a920),f324(f35(x86501),x86502)),f324(f35(x86501),x86503)),f324(f35(x86501),f324(f324(f112(f928(x86501,a916)),x86502),x86503)))+P1(f324(f324(f326(x86501),f339(x86503,x86502,x86501)),f324(f324(f103(f928(x86501,a916)),x86502),x86503))) % 194.45/194.28 [9042]~P130(x90422)+~E(x90421,f2(x90422))+~E(x90423,f2(x90422))+~P1(f324(f324(f235(x90422),f2(x90422)),f324(f324(f79(x90422),f324(f324(f80(x90422),x90423),x90423)),f324(f324(f80(x90422),x90421),x90421)))) % 194.45/194.28 [9584]~P35(x95841,x95843)+~P35(x95841,x95842)+P35(x95841,f324(f324(f112(f928(f927(x95841,x95841),a916)),x95842),x95843))+~P1(f324(f324(f234(f928(f927(x95841,x95841),a916)),f324(f324(f286(x95841,x95841,x95841),x95842),x95843)),x95842)) % 194.45/194.28 [9715]~P1(f324(x97151,x97153))+~P1(f324(f61(x97152),x97153))+P1(f324(x97151,f189(f928(x97152,a916))))+~P1(f324(x97151,f324(f324(f3(f928(x97152,a916)),f870(x97151,x97153,x97152)),f324(f324(f306(x97152),f887(x97151,x97153,x97152)),f189(f928(x97152,a916)))))) % 194.45/194.28 [8824]~P1(f324(f324(f235(a1),f2(a1)),x88243))+P1(f324(f324(f234(a1),f2(a1)),x88241))+~P1(f324(f324(f235(a1),x88242),x88243))+~P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),f324(f324(f80(a1),x88243),x88241)),x88242))) % 194.45/194.28 [8848]~P105(x88481)+~P1(f324(f61(x88481),x88482))+E(f324(f324(f3(f928(x88481,a916)),x88482),f324(f324(f306(x88481),x88483),f189(f928(x88481,a916)))),f189(f928(x88481,a916)))+E(f324(f324(f103(x88481),x88483),f12(x88481,f324(f324(f3(f928(x88481,a916)),x88482),f324(f324(f306(x88481),x88483),f189(f928(x88481,a916)))))),f12(x88481,f324(f324(f306(x88481),x88483),x88482))) % 194.45/194.28 [8849]~P105(x88491)+~P1(f324(f61(x88491),x88492))+E(f324(f324(f3(f928(x88491,a916)),x88492),f324(f324(f306(x88491),x88493),f189(f928(x88491,a916)))),f189(f928(x88491,a916)))+E(f324(f324(f112(x88491),x88493),f15(x88491,f324(f324(f3(f928(x88491,a916)),x88492),f324(f324(f306(x88491),x88493),f189(f928(x88491,a916)))))),f15(x88491,f324(f324(f306(x88491),x88493),x88492))) % 194.45/194.28 [8850]~P112(x88501)+~P1(f324(f61(x88501),x88502))+E(f324(f324(f3(f928(x88501,a916)),x88502),f324(f324(f306(x88501),x88503),f189(f928(x88501,a916)))),f189(f928(x88501,a916)))+E(f324(f324(f188(x88501),x88503),f16(x88501,f324(f324(f3(f928(x88501,a916)),x88502),f324(f324(f306(x88501),x88503),f189(f928(x88501,a916)))))),f16(x88501,f324(f324(f306(x88501),x88503),x88502))) % 194.45/194.28 [8851]~P112(x88511)+~P1(f324(f61(x88511),x88512))+E(f324(f324(f3(f928(x88511,a916)),x88512),f324(f324(f306(x88511),x88513),f189(f928(x88511,a916)))),f189(f928(x88511,a916)))+E(f324(f324(f233(x88511),x88513),f17(x88511,f324(f324(f3(f928(x88511,a916)),x88512),f324(f324(f306(x88511),x88513),f189(f928(x88511,a916)))))),f17(x88511,f324(f324(f306(x88511),x88513),x88512))) % 194.45/194.28 [8923]~P112(x89231)+~P1(f324(f61(x89231),x89232))+E(f324(f324(f3(f928(x89231,a916)),x89232),f324(f324(f306(x89231),x89233),f189(f928(x89231,a916)))),f189(f928(x89231,a916)))+E(f324(f324(f188(x89231),x89233),f13(x89231,f188(x89231),f324(f324(f3(f928(x89231,a916)),x89232),f324(f324(f306(x89231),x89233),f189(f928(x89231,a916)))))),f13(x89231,f188(x89231),f324(f324(f306(x89231),x89233),x89232))) % 194.45/194.28 [8924]~P112(x89241)+~P1(f324(f61(x89241),x89242))+E(f324(f324(f3(f928(x89241,a916)),x89242),f324(f324(f306(x89241),x89243),f189(f928(x89241,a916)))),f189(f928(x89241,a916)))+E(f324(f324(f233(x89241),x89243),f14(x89241,f233(x89241),f324(f324(f3(f928(x89241,a916)),x89242),f324(f324(f306(x89241),x89243),f189(f928(x89241,a916)))))),f14(x89241,f233(x89241),f324(f324(f306(x89241),x89243),x89242))) % 194.45/194.28 [9315]~P2(x93151)+~P38(x93151,x93151,x93152)+P1(f324(f324(f234(x93151),f97(x93151,x93152)),x93153))+~P1(f324(f324(f234(x93151),f324(x93152,f324(f324(f103(x93151),f97(x93151,x93152)),x93153))),x93153)) % 194.45/194.28 [9523]E(x95231,x95232)+~E(f324(f142(f921(x95233),f921(x95233),f134(x95233),f115(x95233)),x95231),f324(f142(f921(x95233),f921(x95233),f134(x95233),f115(x95233)),x95232))+~E(f324(f190(f921(f921(x95233))),x95231),f324(f190(f921(f921(x95233))),x95232))+P1(f324(f324(f326(f927(f921(x95233),f921(x95233))),f733(x95232,x95231,x95233)),f324(f172(f927(f921(x95233),f921(x95233))),f324(f324(f181(f921(x95233),f921(x95233)),x95231),x95232)))) % 194.45/194.28 [9524]E(x95241,x95242)+~E(f324(f142(f921(x95243),f921(x95243),f134(x95243),f115(x95243)),x95241),f324(f142(f921(x95243),f921(x95243),f134(x95243),f115(x95243)),x95242))+~E(f324(f190(f921(f921(x95243))),x95241),f324(f190(f921(f921(x95243))),x95242))+P1(f324(f324(f326(f927(f921(x95243),f921(x95243))),f734(x95241,x95242,x95243)),f324(f172(f927(f921(x95243),f921(x95243))),f324(f324(f181(f921(x95243),f921(x95243)),x95242),x95241)))) % 194.45/194.28 [10366]~P106(x103662)+E(x103661,f189(f928(x103662,a916)))+~P1(f324(f61(x103662),x103661))+E(f15(x103662,f324(f262(x103662),f324(f324(f10(f928(x103662,a916),a916,x103662),f86(x103662)),f324(f324(f9(x103662,f928(x103662,a916),f928(x103662,a916)),f324(f324(f10(f928(x103662,f928(a916,a916)),f928(f928(x103662,a916),f928(x103662,a916)),x103662),f20(x103662,a916,a916)),f324(f324(f10(f928(x103662,a916),f928(x103662,f928(a916,a916)),x103662),f324(f10(a916,f928(a916,a916),x103662),a322)),f324(f324(f9(x103662,f928(x103662,x103662),f928(x103662,a916)),f324(f324(f10(f928(x103662,a916),f928(f928(x103662,x103662),f928(x103662,a916)),x103662),f10(x103662,a916,x103662)),a321)),f324(f103(x103662),x103663))))),f324(f324(f9(x103662,f928(x103662,a916),a916),f326(x103662)),x103661))))),f324(f324(f103(x103662),x103663),f15(x103662,x103661))) % 194.45/194.28 [10367]~P106(x103672)+E(x103671,f189(f928(x103672,a916)))+~P1(f324(f61(x103672),x103671))+E(f12(x103672,f324(f262(x103672),f324(f324(f10(f928(x103672,a916),a916,x103672),f86(x103672)),f324(f324(f9(x103672,f928(x103672,a916),f928(x103672,a916)),f324(f324(f10(f928(x103672,f928(a916,a916)),f928(f928(x103672,a916),f928(x103672,a916)),x103672),f20(x103672,a916,a916)),f324(f324(f10(f928(x103672,a916),f928(x103672,f928(a916,a916)),x103672),f324(f10(a916,f928(a916,a916),x103672),a322)),f324(f324(f9(x103672,f928(x103672,x103672),f928(x103672,a916)),f324(f324(f10(f928(x103672,a916),f928(f928(x103672,x103672),f928(x103672,a916)),x103672),f10(x103672,a916,x103672)),a321)),f324(f112(x103672),x103673))))),f324(f324(f9(x103672,f928(x103672,a916),a916),f326(x103672)),x103671))))),f324(f324(f112(x103672),x103673),f12(x103672,x103671))) % 194.45/194.28 [10368]~P83(x103682)+E(x103681,f189(f928(x103682,a916)))+~P1(f324(f61(x103682),x103681))+E(f16(x103682,f324(f262(x103682),f324(f324(f10(f928(x103682,a916),a916,x103682),f86(x103682)),f324(f324(f9(x103682,f928(x103682,a916),f928(x103682,a916)),f324(f324(f10(f928(x103682,f928(a916,a916)),f928(f928(x103682,a916),f928(x103682,a916)),x103682),f20(x103682,a916,a916)),f324(f324(f10(f928(x103682,a916),f928(x103682,f928(a916,a916)),x103682),f324(f10(a916,f928(a916,a916),x103682),a322)),f324(f324(f9(x103682,f928(x103682,x103682),f928(x103682,a916)),f324(f324(f10(f928(x103682,a916),f928(f928(x103682,x103682),f928(x103682,a916)),x103682),f10(x103682,a916,x103682)),a321)),f324(f79(x103682),x103683))))),f324(f324(f9(x103682,f928(x103682,a916),a916),f326(x103682)),x103681))))),f324(f324(f79(x103682),x103683),f16(x103682,x103681))) % 194.45/194.28 [10369]~P83(x103692)+E(x103691,f189(f928(x103692,a916)))+~P1(f324(f61(x103692),x103691))+E(f17(x103692,f324(f262(x103692),f324(f324(f10(f928(x103692,a916),a916,x103692),f86(x103692)),f324(f324(f9(x103692,f928(x103692,a916),f928(x103692,a916)),f324(f324(f10(f928(x103692,f928(a916,a916)),f928(f928(x103692,a916),f928(x103692,a916)),x103692),f20(x103692,a916,a916)),f324(f324(f10(f928(x103692,a916),f928(x103692,f928(a916,a916)),x103692),f324(f10(a916,f928(a916,a916),x103692),a322)),f324(f324(f9(x103692,f928(x103692,x103692),f928(x103692,a916)),f324(f324(f10(f928(x103692,a916),f928(f928(x103692,x103692),f928(x103692,a916)),x103692),f10(x103692,a916,x103692)),a321)),f324(f79(x103692),x103693))))),f324(f324(f9(x103692,f928(x103692,a916),a916),f326(x103692)),x103691))))),f324(f324(f79(x103692),x103693),f17(x103692,x103691))) % 194.45/194.28 [10370]~P112(x103702)+E(x103701,f189(f928(x103702,a916)))+~P1(f324(f61(x103702),x103701))+E(f14(x103702,f233(x103702),f324(f262(x103702),f324(f324(f10(f928(x103702,a916),a916,x103702),f86(x103702)),f324(f324(f9(x103702,f928(x103702,a916),f928(x103702,a916)),f324(f324(f10(f928(x103702,f928(a916,a916)),f928(f928(x103702,a916),f928(x103702,a916)),x103702),f20(x103702,a916,a916)),f324(f324(f10(f928(x103702,a916),f928(x103702,f928(a916,a916)),x103702),f324(f10(a916,f928(a916,a916),x103702),a322)),f324(f324(f9(x103702,f928(x103702,x103702),f928(x103702,a916)),f324(f324(f10(f928(x103702,a916),f928(f928(x103702,x103702),f928(x103702,a916)),x103702),f10(x103702,a916,x103702)),a321)),f324(f188(x103702),x103703))))),f324(f324(f9(x103702,f928(x103702,a916),a916),f326(x103702)),x103701))))),f324(f324(f188(x103702),x103703),f14(x103702,f233(x103702),x103701))) % 194.45/194.28 [10371]~P112(x103712)+E(x103711,f189(f928(x103712,a916)))+~P1(f324(f61(x103712),x103711))+E(f13(x103712,f188(x103712),f324(f262(x103712),f324(f324(f10(f928(x103712,a916),a916,x103712),f86(x103712)),f324(f324(f9(x103712,f928(x103712,a916),f928(x103712,a916)),f324(f324(f10(f928(x103712,f928(a916,a916)),f928(f928(x103712,a916),f928(x103712,a916)),x103712),f20(x103712,a916,a916)),f324(f324(f10(f928(x103712,a916),f928(x103712,f928(a916,a916)),x103712),f324(f10(a916,f928(a916,a916),x103712),a322)),f324(f324(f9(x103712,f928(x103712,x103712),f928(x103712,a916)),f324(f324(f10(f928(x103712,a916),f928(f928(x103712,x103712),f928(x103712,a916)),x103712),f10(x103712,a916,x103712)),a321)),f324(f233(x103712),x103713))))),f324(f324(f9(x103712,f928(x103712,a916),a916),f326(x103712)),x103711))))),f324(f324(f233(x103712),x103713),f13(x103712,f188(x103712),x103711))) % 194.45/194.28 [10105]~P125(x101051)+~E(x101053,f2(x101051))+~E(x101052,f2(x101051))+E(f324(f324(f79(x101051),f324(f324(f244(x101051),x101052),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x101051),x101053),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f2(x101051)) % 194.45/194.28 [10244]~P129(x102441)+~P1(f324(f324(f234(x102441),f2(x102441)),x102443))+P1(f324(f324(f234(x102441),x102442),x102443))+~P1(f324(f324(f234(x102441),f324(f324(f244(x102441),x102442),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x102441),x102443),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))))) % 194.45/194.28 [10301]~P125(x103012)+~E(x103011,f2(x103012))+~E(x103013,f2(x103012))+~P1(f324(f324(f235(x103012),f2(x103012)),f324(f324(f79(x103012),f324(f324(f244(x103012),x103013),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))),f324(f324(f244(x103012),x103011),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))))) % 194.45/194.28 [6134]~P112(x61341)+~P113(x61342)+~P49(x61341,x61342,x61343)+P22(x61341,x61342,x61343,x61344) % 194.45/194.28 [8760]P23(x87601,x87602,f853(x87603,x87602,x87604,x87601),x87604,x87603)+~E(f324(f35(x87601),x87604),f324(f35(x87602),x87603))+~P1(f324(f61(x87602),x87603))+~P1(f324(f61(x87601),x87604)) % 194.45/194.28 [9486]E(x94861,x94862)+~E(f677(x94861,x94862,x94864,x94863),f682(x94861,x94862,x94864,x94863))+P1(f324(f324(f326(f927(f921(x94863),f921(x94863))),f324(f324(f252(f921(x94863),f921(x94863)),x94862),x94861)),f147(x94863,x94864)))+P1(f324(f324(f326(f927(f921(x94863),f921(x94863))),f324(f324(f252(f921(x94863),f921(x94863)),x94861),x94862)),f147(x94863,x94864))) % 194.45/194.28 [4979]~P70(x49792)+~E(x49794,f2(x49792))+~E(x49791,f2(x49792))+E(x49791,f324(f324(f287(x49792),x49793),x49794)) % 194.45/194.28 [4980]~P70(x49801)+~E(x49803,f2(x49801))+~E(x49804,f2(x49801))+E(f324(f324(f287(x49801),x49802),x49803),x49804) % 194.45/194.28 [5097]~P70(x50972)+E(x50971,f2(x50972))+~E(x50973,f2(x50972))+~E(x50971,f324(f324(f287(x50972),x50974),x50973)) % 194.45/194.28 [5098]~P70(x50982)+E(x50981,f2(x50982))+~E(x50983,f2(x50982))+~E(f324(f324(f287(x50982),x50984),x50983),x50981) % 194.45/194.28 [5284]~P122(x52842)+E(x52841,f2(x52842))+~E(f324(f324(f287(x52842),x52843),x52841),x52844)+E(x52843,f324(f324(f80(x52842),x52844),x52841)) % 194.45/194.28 [5286]~P122(x52862)+E(x52861,f2(x52862))+~E(f324(f324(f80(x52862),x52863),x52861),x52864)+E(x52863,f324(f324(f287(x52862),x52864),x52861)) % 194.45/194.28 [5287]~P70(x52872)+E(x52871,f2(x52872))+~E(f324(f324(f287(x52872),x52873),x52871),x52874)+E(x52873,f324(f324(f80(x52872),x52874),x52871)) % 194.45/194.28 [5288]~P70(x52882)+E(x52881,f2(x52882))+~E(f324(f324(f80(x52882),x52883),x52881),x52884)+E(x52883,f324(f324(f287(x52882),x52884),x52881)) % 194.45/194.28 [5289]~P122(x52892)+E(x52891,f2(x52892))+~E(x52893,f324(f324(f287(x52892),x52894),x52891))+E(f324(f324(f80(x52892),x52893),x52891),x52894) % 194.45/194.28 [5291]~P122(x52912)+E(x52911,f2(x52912))+~E(x52913,f324(f324(f80(x52912),x52914),x52911))+E(f324(f324(f287(x52912),x52913),x52911),x52914) % 194.45/194.28 [5292]~P70(x52922)+E(x52921,f2(x52922))+~E(x52923,f324(f324(f287(x52922),x52924),x52921))+E(f324(f324(f80(x52922),x52923),x52921),x52924) % 194.45/194.28 [5293]~P70(x52932)+E(x52931,f2(x52932))+~E(x52933,f324(f324(f80(x52932),x52934),x52931))+E(f324(f324(f287(x52932),x52933),x52931),x52934) % 194.45/194.28 [5317]~P70(x53172)+~E(x53171,f2(x53172))+~E(f324(f324(f80(x53172),x53171),x53174),x53173)+E(x53171,f324(f324(f287(x53172),x53173),x53174)) % 194.45/194.28 [5318]~P70(x53181)+~E(x53184,f2(x53181))+~E(x53182,f324(f324(f80(x53181),x53184),x53183))+E(f324(f324(f287(x53181),x53182),x53183),x53184) % 194.45/194.28 [5393]~E(x53933,x53934)+~E(x53932,x53933)+~P113(x53931)+E(f300(x53931,x53932,x53933),f324(f324(f306(x53931),x53934),f189(f928(x53931,a916)))) % 194.45/194.28 [5596]~E(f116(x55962,x55961),x55963)+~E(f144(x55962,x55961),x55964)+E(x55961,f115(x55962))+E(f324(f324(f134(x55962),x55963),f324(f324(f151(x55962),x55964),f115(x55962))),x55961) % 194.45/194.28 [6228]~P129(x62283)+E(x62281,x62282)+~E(f324(f324(f244(x62283),x62284),x62281),f324(f324(f244(x62283),x62284),x62282))+~P1(f324(f324(f235(x62283),f77(x62283)),x62284)) % 194.45/194.28 [6229]E(x62291,x62292)+~E(f324(f324(f306(x62293),x62294),x62291),f324(f324(f306(x62293),x62294),x62292))+P1(f324(f324(f326(x62293),x62294),x62292))+P1(f324(f324(f326(x62293),x62294),x62291)) % 194.45/194.28 [6272]E(f324(x62721,x62722),f77(a920))+~E(f324(f324(f11(x62723,a920),x62721),x62724),f77(a920))+~P1(f324(f61(x62723),x62724))+~P1(f324(f324(f326(x62723),x62722),x62724)) % 194.45/194.28 [6273]E(f324(x62731,x62732),f2(a920))+~E(f324(f324(f8(x62733,a920),x62731),x62734),f2(a920))+~P1(f324(f61(x62733),x62734))+~P1(f324(f324(f326(x62733),x62732),x62734)) % 194.45/194.28 [6491]~P113(x64911)+~P1(f324(f324(f234(x64911),x64914),x64913))+P1(f324(f324(f234(x64911),x64912),x64913))+~P1(f324(f324(f234(x64911),x64912),x64914)) % 194.45/194.28 [6492]~P61(x64921)+~P1(f324(f324(f234(x64921),x64922),x64924))+P1(f324(f324(f234(x64921),x64922),x64923))+~P1(f324(f324(f234(x64921),x64924),x64923)) % 194.45/194.28 [6493]~P113(x64931)+~P1(f324(f324(f235(x64931),x64934),x64933))+P1(f324(f324(f235(x64931),x64932),x64933))+~P1(f324(f324(f234(x64931),x64932),x64934)) % 194.45/194.28 [6494]~P113(x64941)+~P1(f324(f324(f235(x64941),x64942),x64944))+P1(f324(f324(f235(x64941),x64942),x64943))+~P1(f324(f324(f234(x64941),x64944),x64943)) % 194.45/194.28 [6495]~P113(x64951)+~P1(f324(f324(f235(x64951),x64954),x64953))+P1(f324(f324(f235(x64951),x64952),x64953))+~P1(f324(f324(f235(x64951),x64952),x64954)) % 194.45/194.28 [6496]~P61(x64961)+~P1(f324(f324(f235(x64961),x64962),x64964))+P1(f324(f324(f235(x64961),x64962),x64963))+~P1(f324(f324(f234(x64961),x64964),x64963)) % 194.45/194.28 [6497]~P61(x64971)+~P1(f324(f324(f235(x64971),x64974),x64973))+P1(f324(f324(f235(x64971),x64972),x64973))+~P1(f324(f324(f234(x64971),x64972),x64974)) % 194.45/194.28 [6498]~P61(x64981)+~P1(f324(f324(f235(x64981),x64982),x64984))+P1(f324(f324(f235(x64981),x64982),x64983))+~P1(f324(f324(f235(x64981),x64984),x64983)) % 194.45/194.28 [6582]~P33(x65824,x65823,x65822)+E(x65821,f788(x65822,x65823,x65824))+~P1(f324(x65823,x65821))+~P1(f324(f324(f326(x65824),x65821),f324(f172(x65824),x65822))) % 194.45/194.28 [6583]~P33(x65834,x65833,x65832)+E(x65831,f797(x65832,x65833,x65834))+~P1(f324(x65833,x65831))+~P1(f324(f324(f326(x65834),x65831),f324(f172(x65834),x65832))) % 194.45/194.28 [6731]~P2(x67311)+~P1(f324(f324(f234(x67311),x67312),f38(x67311,x67314)))+P1(f324(f324(f234(x67311),x67312),x67313))+~P1(f324(f324(f326(x67311),x67313),x67314)) % 194.45/194.28 [6875]~P112(x68751)+~P10(x68751,f324(f324(f151(x68751),x68752),x68754))+~P1(f324(f324(f326(x68751),x68753),f324(f172(x68751),x68754)))+P1(f324(f324(f234(x68751),x68752),x68753)) % 194.45/194.28 [6963]~P2(x69631)+~P1(f324(f324(f234(x69631),f37(x69631,x69634)),x69633))+P1(f324(f324(f234(x69631),x69632),x69633))+~P1(f324(f324(f326(x69631),x69632),x69634)) % 194.45/194.28 [7368]~P112(x73681)+E(f324(f324(f112(f928(x73681,a916)),f324(f299(x73681,x73682),x73683)),f324(f299(x73681,x73683),x73684)),f324(f299(x73681,x73682),x73684))+~P1(f324(f324(f234(x73681),x73683),x73684))+~P1(f324(f324(f234(x73681),x73682),x73683)) % 194.45/194.28 [7415]P33(x74151,x74152,x74153)+~E(f798(x74153,x74152,x74151,x74154),x74154)+~P1(f324(x74152,x74154))+~P1(f324(f324(f326(x74151),x74154),f324(f172(x74151),x74153))) % 194.45/194.28 [7416]P33(x74161,x74162,x74163)+~E(f806(x74163,x74162,x74161,x74164),x74164)+~P1(f324(x74162,x74164))+~P1(f324(f324(f326(x74161),x74164),f324(f172(x74161),x74163))) % 194.45/194.28 [7493]~P112(x74931)+E(f324(f324(f112(f928(x74931,a916)),f324(f299(x74931,x74932),x74933)),f300(x74931,x74933,x74934)),f300(x74931,x74932,x74934))+~P1(f324(f324(f234(x74931),x74933),x74934))+~P1(f324(f324(f234(x74931),x74932),x74933)) % 194.45/194.28 [7555]~P112(x75551)+E(f324(f324(f112(f928(x75551,a916)),f303(x75551,x75552,x75553)),f324(f299(x75551,x75553),x75554)),f303(x75551,x75552,x75554))+~P1(f324(f324(f234(x75551),x75553),x75554))+~P1(f324(f324(f235(x75551),x75552),x75553)) % 194.45/194.28 [7575]~P112(x75751)+E(f324(f324(f112(f928(x75751,a916)),f300(x75751,x75752,x75753)),f303(x75751,x75753,x75754)),f324(f299(x75751,x75752),x75754))+~P1(f324(f324(f234(x75751),x75752),x75753))+~P1(f324(f324(f235(x75751),x75753),x75754)) % 194.45/194.28 [7609]~P112(x76091)+E(f324(f324(f112(f928(x76091,a916)),f300(x76091,x76092,x76093)),f302(x76091,x76093,x76094)),f300(x76091,x76092,x76094))+~P1(f324(f324(f234(x76091),x76093),x76094))+~P1(f324(f324(f234(x76091),x76092),x76093)) % 194.45/194.28 [7610]~P112(x76101)+E(f324(f324(f112(f928(x76101,a916)),f303(x76101,x76102,x76103)),f300(x76101,x76103,x76104)),f302(x76101,x76102,x76104))+~P1(f324(f324(f234(x76101),x76103),x76104))+~P1(f324(f324(f235(x76101),x76102),x76103)) % 194.45/194.28 [7611]~P112(x76111)+E(f324(f324(f112(f928(x76111,a916)),f302(x76111,x76112,x76113)),f303(x76111,x76113,x76114)),f303(x76111,x76112,x76114))+~P1(f324(f324(f234(x76111),x76112),x76113))+~P1(f324(f324(f235(x76111),x76113),x76114)) % 194.45/194.28 [7612]~P112(x76121)+E(f324(f324(f112(f928(x76121,a916)),f302(x76121,x76122,x76123)),f302(x76121,x76123,x76124)),f302(x76121,x76122,x76124))+~P1(f324(f324(f234(x76121),x76123),x76124))+~P1(f324(f324(f234(x76121),x76122),x76123)) % 194.45/194.28 [8402]P22(x84021,x84022,f554(x84023,x84022,x84024,x84021),x84024)+~P1(f324(f61(x84022),x84023))+~P1(f324(f61(x84021),x84024))+~P1(f324(f324(f234(a920),f324(f35(x84021),x84024)),f324(f35(x84022),x84023))) % 194.45/194.28 [8423]P33(x84231,x84232,x84233)+~P1(f324(x84232,x84234))+P1(f324(x84232,f798(x84233,x84232,x84231,x84234)))+~P1(f324(f324(f326(x84231),x84234),f324(f172(x84231),x84233))) % 194.45/194.28 [8424]P33(x84241,x84242,x84243)+~P1(f324(x84242,x84244))+P1(f324(x84242,f806(x84243,x84242,x84241,x84244)))+~P1(f324(f324(f326(x84241),x84244),f324(f172(x84241),x84243))) % 194.45/194.28 [8478]~P81(x84781)+~E(f324(x84783,f369(x84783,x84784,x84782,x84781)),f77(x84781))+E(f324(f324(f324(f65(x84781,x84782,f80(x84781)),x84783),f77(x84781)),x84784),f77(x84781))+~P1(f324(f61(x84782),x84784)) % 194.45/194.28 [8749]~P129(x87491)+~P1(f324(f324(f234(x87491),f2(x87491)),x87493))+P1(f324(f324(f234(x87491),x87492),x87493))+~P1(f324(f324(f234(x87491),f324(f324(f244(x87491),x87492),f324(a114,x87494))),f324(f324(f244(x87491),x87493),f324(a114,x87494)))) % 194.45/194.28 [8922]~P38(f928(x89224,a916),f928(x89224,a916),x89223)+P1(f324(x89221,x89222))+~P1(f324(x89221,f588(x89221,x89223,x89222,x89224)))+~P1(f324(f324(f326(x89224),x89222),f97(f928(x89224,a916),x89223))) % 194.45/194.28 [9069]P33(x90691,x90692,x90693)+~P1(f324(x90692,x90694))+~P1(f324(f324(f326(x90691),x90694),f324(f172(x90691),x90693)))+P1(f324(f324(f326(x90691),f798(x90693,x90692,x90691,x90694)),f324(f172(x90691),x90693))) % 194.45/194.28 [9070]P33(x90701,x90702,x90703)+~P1(f324(x90702,x90704))+~P1(f324(f324(f326(x90701),x90704),f324(f172(x90701),x90703)))+P1(f324(f324(f326(x90701),f806(x90703,x90702,x90701,x90704)),f324(f172(x90701),x90703))) % 194.45/194.28 [9146]~P81(x91461)+E(f324(f324(f324(f65(x91461,x91462,f80(x91461)),x91463),f77(x91461)),x91464),f77(x91461))+~P1(f324(f61(x91462),x91464))+P1(f324(f324(f326(x91462),f369(x91463,x91464,x91462,x91461)),x91464)) % 194.45/194.28 [9657]~P1(f324(f324(f234(a1),x96574),f2(a1)))+P1(f324(f324(f234(a1),f324(f324(f79(a1),f324(f324(f80(a1),x96571),f45(a1,x96572,x96573))),x96574)),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x96573))+~P1(f324(f324(f235(a1),x96571),x96574)) % 194.45/194.28 [10098]~P1(f324(f61(x100981),x100982))+~P1(f324(f324(f326(x100981),x100984),x100982))+~P1(f324(f324(f326(x100981),x100983),x100982))+P1(f324(f324(f235(a920),f324(f35(x100981),f324(f324(f3(f928(x100981,a916)),f324(f324(f3(f928(x100981,a916)),x100982),f324(f324(f306(x100981),x100983),f189(f928(x100981,a916))))),f324(f324(f306(x100981),x100984),f189(f928(x100981,a916)))))),f324(f35(x100981),x100982))) % 194.45/194.28 [7078]~P63(x70781)+~P1(f324(f324(f234(x70781),x70782),x70784))+~P1(f324(f324(f234(x70781),x70782),x70783))+P1(f324(f324(f234(x70781),x70782),f324(f324(f103(x70781),x70783),x70784))) % 194.45/194.28 [7081]~P112(x70811)+~P1(f324(f324(f234(x70811),x70812),x70814))+~P1(f324(f324(f234(x70811),x70812),x70813))+P1(f324(f324(f234(x70811),x70812),f324(f324(f188(x70811),x70813),x70814))) % 194.45/194.28 [7082]~P112(x70821)+~P1(f324(f324(f235(x70821),x70822),x70824))+~P1(f324(f324(f235(x70821),x70822),x70823))+P1(f324(f324(f235(x70821),x70822),f324(f324(f188(x70821),x70823),x70824))) % 194.45/194.28 [7102]~P71(x71022)+E(x71021,f2(x71022))+E(f324(f324(f287(x71022),f324(f324(f244(x71022),x71021),x71023)),f324(f324(f244(x71022),x71021),x71024)),f324(f324(f244(x71022),x71021),f324(f324(f3(a920),x71023),x71024)))+~P1(f324(f324(f234(a920),x71024),x71023)) % 194.45/194.28 [7147]~P112(x71471)+~P10(x71471,f324(f324(f151(x71471),x71473),x71474))+P10(x71471,f324(f324(f151(x71471),x71472),f324(f324(f151(x71471),x71473),x71474)))+~P1(f324(f324(f234(x71471),x71472),x71473)) % 194.45/194.28 [7183]~P96(x71831)+~P1(f324(f324(f234(x71831),f2(x71831)),x71834))+~P1(f324(f324(f234(x71831),x71832),x71833))+P1(f324(f324(f234(x71831),x71832),f324(f324(f79(x71831),x71833),x71834))) % 194.45/194.28 [7184]~P96(x71841)+~P1(f324(f324(f234(x71841),f2(x71841)),x71843))+~P1(f324(f324(f234(x71841),x71842),x71844))+P1(f324(f324(f234(x71841),x71842),f324(f324(f79(x71841),x71843),x71844))) % 194.45/194.28 [7185]~P129(x71851)+~P1(f324(f324(f235(x71851),f2(x71851)),x71853))+~P1(f324(f324(f235(x71851),x71852),x71854))+P1(f324(f324(f235(x71851),x71852),f324(f324(f79(x71851),x71853),x71854))) % 194.45/194.28 [7186]~P96(x71861)+~P1(f324(f324(f234(x71861),x71862),x71864))+~P1(f324(f324(f235(x71861),f2(x71861)),x71863))+P1(f324(f324(f235(x71861),x71862),f324(f324(f79(x71861),x71863),x71864))) % 194.45/194.28 [7187]~P96(x71871)+~P1(f324(f324(f234(x71871),f2(x71871)),x71873))+~P1(f324(f324(f235(x71871),x71872),x71874))+P1(f324(f324(f235(x71871),x71872),f324(f324(f79(x71871),x71873),x71874))) % 194.45/194.28 [7229]~P112(x72291)+P1(f324(f324(f234(x72291),x72292),x72293))+P1(f324(f324(f234(x72291),x72292),x72294))+~P1(f324(f324(f234(x72291),x72292),f324(f324(f233(x72291),x72294),x72293))) % 194.45/194.28 [7230]~P112(x72301)+P1(f324(f324(f235(x72301),x72302),x72303))+P1(f324(f324(f235(x72301),x72302),x72304))+~P1(f324(f324(f235(x72301),x72302),f324(f324(f233(x72301),x72304),x72303))) % 194.45/194.28 [7527]~P113(x75272)+~P69(x75271)+~P1(f324(f324(f235(f928(x75271,x75272)),x75273),x75274))+P1(f324(f324(f234(f928(x75271,x75272)),x75273),x75274)) % 194.45/194.28 [7893]~P73(x78931)+~P1(f324(f324(f235(x78931),x78934),f2(x78931)))+~P1(f324(f324(f234(x78931),x78933),f324(f324(f287(x78931),x78932),x78934)))+P1(f324(f324(f234(x78931),x78932),f324(f324(f80(x78931),x78933),x78934))) % 194.45/194.28 [7894]~P73(x78941)+~P1(f324(f324(f235(x78941),x78944),f2(x78941)))+~P1(f324(f324(f234(x78941),x78943),f324(f324(f80(x78941),x78942),x78944)))+P1(f324(f324(f234(x78941),x78942),f324(f324(f287(x78941),x78943),x78944))) % 194.45/194.28 [7895]~P73(x78951)+~P1(f324(f324(f235(x78951),x78954),f2(x78951)))+~P1(f324(f324(f235(x78951),x78953),f324(f324(f287(x78951),x78952),x78954)))+P1(f324(f324(f235(x78951),x78952),f324(f324(f80(x78951),x78953),x78954))) % 194.45/194.28 [7896]~P73(x78961)+~P1(f324(f324(f235(x78961),x78964),f2(x78961)))+~P1(f324(f324(f235(x78961),x78963),f324(f324(f80(x78961),x78962),x78964)))+P1(f324(f324(f235(x78961),x78962),f324(f324(f287(x78961),x78963),x78964))) % 194.45/194.28 [8007]~P128(x80071)+~P1(f324(f324(f234(x80071),x80072),f2(x80071)))+~P1(f324(f324(f234(x80071),x80074),x80073))+P1(f324(f324(f234(x80071),f324(f324(f80(x80071),x80072),x80073)),f324(f324(f80(x80071),x80072),x80074))) % 194.45/194.28 [8008]~P130(x80081)+~P1(f324(f324(f235(x80081),x80082),f2(x80081)))+~P1(f324(f324(f234(x80081),x80084),x80083))+P1(f324(f324(f234(x80081),f324(f324(f80(x80081),x80082),x80083)),f324(f324(f80(x80081),x80082),x80084))) % 194.45/194.28 [8009]~P128(x80091)+~P1(f324(f324(f234(x80091),x80093),f2(x80091)))+~P1(f324(f324(f234(x80091),x80094),x80092))+P1(f324(f324(f234(x80091),f324(f324(f80(x80091),x80092),x80093)),f324(f324(f80(x80091),x80094),x80093))) % 194.45/194.28 [8010]~P72(x80101)+~P1(f324(f324(f234(x80101),x80103),f2(x80101)))+~P1(f324(f324(f234(x80101),x80104),x80102))+P1(f324(f324(f234(x80101),f324(f324(f287(x80101),x80102),x80103)),f324(f324(f287(x80101),x80104),x80103))) % 194.45/194.28 [8014]~P130(x80141)+~P1(f324(f324(f235(x80141),x80143),f2(x80141)))+~P1(f324(f324(f235(x80141),x80144),x80142))+P1(f324(f324(f235(x80141),f324(f324(f80(x80141),x80142),x80143)),f324(f324(f80(x80141),x80144),x80143))) % 194.45/194.28 [8015]~P130(x80151)+~P1(f324(f324(f235(x80151),x80152),f2(x80151)))+~P1(f324(f324(f235(x80151),x80154),x80153))+P1(f324(f324(f235(x80151),f324(f324(f80(x80151),x80152),x80153)),f324(f324(f80(x80151),x80152),x80154))) % 194.45/194.28 [8016]~P73(x80161)+~P1(f324(f324(f235(x80161),x80163),f2(x80161)))+~P1(f324(f324(f235(x80161),x80164),x80162))+P1(f324(f324(f235(x80161),f324(f324(f287(x80161),x80162),x80163)),f324(f324(f287(x80161),x80164),x80163))) % 194.45/194.28 [8017]~P129(x80171)+~P1(f324(f324(f235(x80171),f77(x80171)),x80172))+~P1(f324(f324(f234(a920),x80173),x80174))+P1(f324(f324(f234(x80171),f324(f324(f244(x80171),x80172),x80173)),f324(f324(f244(x80171),x80172),x80174))) % 194.45/194.28 [8018]~P129(x80181)+~P1(f324(f324(f234(x80181),f77(x80181)),x80182))+~P1(f324(f324(f234(a920),x80183),x80184))+P1(f324(f324(f234(x80181),f324(f324(f244(x80181),x80182),x80183)),f324(f324(f244(x80181),x80182),x80184))) % 194.45/194.28 [8020]~P129(x80201)+~P1(f324(f324(f235(x80201),f77(x80201)),x80202))+~P1(f324(f324(f235(a920),x80203),x80204))+P1(f324(f324(f235(x80201),f324(f324(f244(x80201),x80202),x80203)),f324(f324(f244(x80201),x80202),x80204))) % 194.45/194.28 [8047]P1(f324(f324(f235(a920),f2(a920)),f324(x80471,x80472)))+~P1(f324(f61(x80473),x80474))+~P1(f324(f324(f326(x80473),x80472),x80474))+~P1(f324(f324(f235(a920),f2(a920)),f324(f324(f11(x80473,a920),x80471),x80474))) % 194.45/194.28 [8056]~P140(x80561)+~P1(f324(f324(f234(x80561),x80563),x80564))+~P1(f324(f324(f234(x80561),f2(x80561)),x80562))+P1(f324(f324(f234(x80561),f324(f324(f80(x80561),x80562),x80563)),f324(f324(f80(x80561),x80562),x80564))) % 194.45/194.28 [8057]~P139(x80571)+~P1(f324(f324(f234(x80571),x80573),x80574))+~P1(f324(f324(f234(x80571),f2(x80571)),x80572))+P1(f324(f324(f234(x80571),f324(f324(f80(x80571),x80572),x80573)),f324(f324(f80(x80571),x80572),x80574))) % 194.45/194.28 [8058]~P130(x80581)+~P1(f324(f324(f235(x80581),f2(x80581)),x80582))+~P1(f324(f324(f234(x80581),x80583),x80584))+P1(f324(f324(f234(x80581),f324(f324(f80(x80581),x80582),x80583)),f324(f324(f80(x80581),x80582),x80584))) % 194.45/194.28 [8059]~P140(x80591)+~P1(f324(f324(f234(x80591),x80592),x80594))+~P1(f324(f324(f234(x80591),f2(x80591)),x80593))+P1(f324(f324(f234(x80591),f324(f324(f80(x80591),x80592),x80593)),f324(f324(f80(x80591),x80594),x80593))) % 194.45/194.28 [8060]~P129(x80601)+~P1(f324(f324(f234(x80601),x80602),x80604))+~P1(f324(f324(f234(x80601),f2(x80601)),x80602))+P1(f324(f324(f234(x80601),f324(f324(f244(x80601),x80602),x80603)),f324(f324(f244(x80601),x80604),x80603))) % 194.45/194.28 [8061]~P72(x80611)+~P1(f324(f324(f234(x80611),x80612),x80614))+~P1(f324(f324(f234(x80611),f2(x80611)),x80613))+P1(f324(f324(f234(x80611),f324(f324(f287(x80611),x80612),x80613)),f324(f324(f287(x80611),x80614),x80613))) % 194.45/194.28 [8063]~P126(x80631)+~P1(f324(f324(f235(x80631),x80633),x80634))+~P1(f324(f324(f235(x80631),f2(x80631)),x80632))+P1(f324(f324(f235(x80631),f324(f324(f80(x80631),x80632),x80633)),f324(f324(f80(x80631),x80632),x80634))) % 194.45/194.28 [8064]~P137(x80641)+~P1(f324(f324(f235(x80641),x80643),x80644))+~P1(f324(f324(f235(x80641),f2(x80641)),x80642))+P1(f324(f324(f235(x80641),f324(f324(f80(x80641),x80642),x80643)),f324(f324(f80(x80641),x80642),x80644))) % 194.45/194.28 [8065]~P130(x80651)+~P1(f324(f324(f235(x80651),x80652),x80654))+~P1(f324(f324(f235(x80651),f2(x80651)),x80653))+P1(f324(f324(f235(x80651),f324(f324(f80(x80651),x80652),x80653)),f324(f324(f80(x80651),x80654),x80653))) % 194.45/194.28 [8066]~P137(x80661)+~P1(f324(f324(f235(x80661),x80662),x80664))+~P1(f324(f324(f235(x80661),f2(x80661)),x80663))+P1(f324(f324(f235(x80661),f324(f324(f80(x80661),x80662),x80663)),f324(f324(f80(x80661),x80664),x80663))) % 194.45/194.28 [8067]~P130(x80671)+~P1(f324(f324(f235(x80671),x80673),x80674))+~P1(f324(f324(f235(x80671),f2(x80671)),x80672))+P1(f324(f324(f235(x80671),f324(f324(f80(x80671),x80672),x80673)),f324(f324(f80(x80671),x80672),x80674))) % 194.45/194.28 [8068]~P73(x80681)+~P1(f324(f324(f235(x80681),x80682),x80684))+~P1(f324(f324(f235(x80681),f2(x80681)),x80683))+P1(f324(f324(f235(x80681),f324(f324(f287(x80681),x80682),x80683)),f324(f324(f287(x80681),x80684),x80683))) % 194.45/194.28 [8113]~P111(x81132)+P1(f324(f324(f235(f928(x81131,x81132)),x81134),x81133))+~P1(f324(f324(f234(f928(x81131,x81132)),x81134),x81133))+P1(f324(f324(f234(f928(x81131,x81132)),x81133),x81134)) % 194.45/194.28 [8156]P1(f324(f324(f326(x81561),x81562),x81563))+P1(f324(f324(f326(x81561),x81562),x81564))+~P1(f324(f324(f234(f928(x81561,a916)),x81564),x81563))+P1(f324(f324(f235(f928(x81561,a916)),x81564),f324(f324(f306(x81561),x81562),x81563))) % 194.45/194.28 [8314]P1(f324(f324(f326(x83141),x83142),x83143))+P1(f324(f324(f326(x83141),x83142),x83144))+~P1(f324(f324(f235(f928(x83141,a916)),x83144),f324(f324(f306(x83141),x83142),x83143)))+P1(f324(f324(f234(f928(x83141,a916)),x83144),x83143)) % 194.45/194.28 [8380]~P130(x83801)+P1(f324(f324(f235(x83801),x83803),x83802))+P1(f324(f324(f235(x83801),x83802),x83803))+~P1(f324(f324(f235(x83801),f324(f324(f80(x83801),x83804),x83802)),f324(f324(f80(x83801),x83804),x83803))) % 194.45/194.28 [8381]~P130(x83811)+P1(f324(f324(f235(x83811),x83813),x83812))+P1(f324(f324(f235(x83811),x83812),x83813))+~P1(f324(f324(f235(x83811),f324(f324(f80(x83811),x83812),x83814)),f324(f324(f80(x83811),x83813),x83814))) % 194.45/194.28 [8392]~P130(x83921)+P1(f324(f324(f235(x83921),x83924),f2(x83921)))+P1(f324(f324(f235(x83921),x83922),x83923))+~P1(f324(f324(f235(x83921),f324(f324(f80(x83921),x83922),x83924)),f324(f324(f80(x83921),x83923),x83924))) % 194.45/194.28 [8393]~P130(x83931)+P1(f324(f324(f235(x83931),x83934),f2(x83931)))+P1(f324(f324(f235(x83931),x83932),x83933))+~P1(f324(f324(f235(x83931),f324(f324(f80(x83931),x83934),x83932)),f324(f324(f80(x83931),x83934),x83933))) % 194.45/194.28 [8396]~P130(x83961)+P1(f324(f324(f235(x83961),x83962),x83963))+P1(f324(f324(f235(x83961),f2(x83961)),x83964))+~P1(f324(f324(f235(x83961),f324(f324(f80(x83961),x83964),x83963)),f324(f324(f80(x83961),x83964),x83962))) % 194.45/194.28 [8397]~P130(x83971)+P1(f324(f324(f235(x83971),x83972),x83973))+P1(f324(f324(f235(x83971),f2(x83971)),x83974))+~P1(f324(f324(f235(x83971),f324(f324(f80(x83971),x83973),x83974)),f324(f324(f80(x83971),x83972),x83974))) % 194.45/194.28 [8410]~P130(x84101)+P1(f324(f324(f235(x84101),x84102),f2(x84101)))+P1(f324(f324(f235(x84101),f2(x84101)),x84102))+~P1(f324(f324(f235(x84101),f324(f324(f80(x84101),x84103),x84102)),f324(f324(f80(x84101),x84104),x84102))) % 194.45/194.28 [8411]~P130(x84111)+P1(f324(f324(f235(x84111),x84112),f2(x84111)))+P1(f324(f324(f235(x84111),f2(x84111)),x84112))+~P1(f324(f324(f235(x84111),f324(f324(f80(x84111),x84112),x84113)),f324(f324(f80(x84111),x84112),x84114))) % 194.45/194.28 [8440]~P130(x84401)+~P1(f324(f324(f235(x84401),x84404),f2(x84401)))+P1(f324(f324(f234(x84401),x84402),x84403))+~P1(f324(f324(f234(x84401),f324(f324(f80(x84401),x84404),x84403)),f324(f324(f80(x84401),x84404),x84402))) % 194.45/194.28 [8441]~P130(x84411)+~P1(f324(f324(f235(x84411),x84414),f2(x84411)))+P1(f324(f324(f235(x84411),x84412),x84413))+~P1(f324(f324(f235(x84411),f324(f324(f80(x84411),x84414),x84413)),f324(f324(f80(x84411),x84414),x84412))) % 194.45/194.28 [8452]~P129(x84523)+~P1(f324(f324(f235(x84523),f77(x84523)),x84524))+P1(f324(f324(f234(a920),x84521),x84522))+~P1(f324(f324(f234(x84523),f324(f324(f244(x84523),x84524),x84521)),f324(f324(f244(x84523),x84524),x84522))) % 194.45/194.28 [8454]~P129(x84543)+~P1(f324(f324(f235(x84543),f77(x84543)),x84544))+P1(f324(f324(f235(a920),x84541),x84542))+~P1(f324(f324(f235(x84543),f324(f324(f244(x84543),x84544),x84541)),f324(f324(f244(x84543),x84544),x84542))) % 194.45/194.28 [8464]~P130(x84641)+P1(f324(f324(f234(x84641),x84642),x84643))+~P1(f324(f324(f235(x84641),f2(x84641)),x84644))+~P1(f324(f324(f234(x84641),f324(f324(f80(x84641),x84644),x84642)),f324(f324(f80(x84641),x84644),x84643))) % 194.45/194.28 [8465]~P137(x84651)+P1(f324(f324(f234(x84651),x84652),x84653))+~P1(f324(f324(f235(x84651),f2(x84651)),x84654))+~P1(f324(f324(f234(x84651),f324(f324(f80(x84651),x84654),x84652)),f324(f324(f80(x84651),x84654),x84653))) % 194.45/194.28 [8466]~P137(x84661)+P1(f324(f324(f234(x84661),x84662),x84663))+~P1(f324(f324(f235(x84661),f2(x84661)),x84664))+~P1(f324(f324(f234(x84661),f324(f324(f80(x84661),x84662),x84664)),f324(f324(f80(x84661),x84663),x84664))) % 194.45/194.28 [8467]~P130(x84671)+P1(f324(f324(f235(x84671),x84672),x84673))+~P1(f324(f324(f235(x84671),f2(x84671)),x84674))+~P1(f324(f324(f235(x84671),f324(f324(f80(x84671),x84674),x84672)),f324(f324(f80(x84671),x84674),x84673))) % 194.45/194.28 [8468]~P137(x84681)+P1(f324(f324(f235(x84681),x84682),x84683))+~P1(f324(f324(f234(x84681),f2(x84681)),x84684))+~P1(f324(f324(f235(x84681),f324(f324(f80(x84681),x84684),x84682)),f324(f324(f80(x84681),x84684),x84683))) % 194.45/194.28 [8469]~P133(x84691)+P1(f324(f324(f235(x84691),x84692),x84693))+~P1(f324(f324(f234(x84691),f2(x84691)),x84694))+~P1(f324(f324(f235(x84691),f324(f324(f80(x84691),x84694),x84692)),f324(f324(f80(x84691),x84694),x84693))) % 194.45/194.28 [8470]~P129(x84701)+~P1(f324(f324(f234(x84701),f2(x84701)),x84703))+P1(f324(f324(f235(x84701),x84702),x84703))+~P1(f324(f324(f235(x84701),f324(f324(f244(x84701),x84702),x84704)),f324(f324(f244(x84701),x84703),x84704))) % 194.45/194.28 [8471]~P137(x84711)+P1(f324(f324(f235(x84711),x84712),x84713))+~P1(f324(f324(f234(x84711),f2(x84711)),x84714))+~P1(f324(f324(f235(x84711),f324(f324(f80(x84711),x84712),x84714)),f324(f324(f80(x84711),x84713),x84714))) % 194.45/194.28 [8472]~P133(x84721)+P1(f324(f324(f235(x84721),x84722),x84723))+~P1(f324(f324(f234(x84721),f2(x84721)),x84724))+~P1(f324(f324(f235(x84721),f324(f324(f80(x84721),x84722),x84724)),f324(f324(f80(x84721),x84723),x84724))) % 194.45/194.28 [8516]P1(f324(f324(f326(x85161),x85162),x85163))+~P1(f324(f324(f234(f928(x85161,a916)),x85163),x85164))+~P1(f324(f324(f235(f928(x85161,a916)),x85163),x85164))+P1(f324(f324(f235(f928(x85161,a916)),x85163),f324(f324(f306(x85161),x85162),x85164))) % 194.45/194.28 [8897]E(f324(f324(f3(a1),f483(x88971,x88972,x88973,x88974)),f484(x88971,x88972,x88973,x88974)),x88974)+~P1(f324(f324(f235(a1),f2(a1)),x88973))+~P1(f324(f324(f234(a1),x88971),x88974))+P1(f324(f324(f234(a1),x88971),f324(f324(f79(a1),x88974),x88973))) % 194.45/194.28 [8898]E(f324(f324(f3(a1),f493(x88981,x88982,x88983,x88984)),f494(x88981,x88982,x88983,x88984)),x88984)+~P1(f324(f324(f235(a1),f2(a1)),x88983))+~P1(f324(f324(f235(a1),x88981),x88984))+P1(f324(f324(f235(a1),x88981),f324(f324(f79(a1),x88984),x88983))) % 194.45/194.28 [9051]~E(f324(f324(f164(x90511),x90513),f707(x90514,x90513,x90511,x90512)),f324(f324(f164(x90511),x90514),f707(x90514,x90513,x90511,x90512)))+E(f324(f324(f175(x90511),x90512),x90513),f324(f324(f175(x90511),x90512),x90514))+~P1(f324(f324(f234(a920),x90512),f324(f190(f921(x90511)),x90513)))+~P1(f324(f324(f234(a920),x90512),f324(f190(f921(x90511)),x90514))) % 194.45/194.28 [9114]~P1(f324(f324(f235(a1),f2(a1)),x91143))+~P1(f324(f324(f234(a1),x91141),x91144))+P1(f324(f324(f326(a1),f483(x91141,x91142,x91143,x91144)),x91142))+P1(f324(f324(f234(a1),x91141),f324(f324(f79(a1),x91144),x91143))) % 194.45/194.28 [9115]~P1(f324(f324(f235(a1),f2(a1)),x91153))+~P1(f324(f324(f235(a1),x91151),x91154))+P1(f324(f324(f326(a1),f493(x91151,x91152,x91153,x91154)),x91152))+P1(f324(f324(f235(a1),x91151),f324(f324(f79(a1),x91154),x91153))) % 194.45/194.28 [9155]~P63(x91551)+~P1(f324(f61(x91551),x91553))+~P1(f324(f324(f326(x91551),x91554),x91553))+P1(f324(f324(f234(x91551),f324(f324(f64(x91551,x91551,f103(x91551)),x91552),x91553)),f324(f324(f103(x91551),x91554),x91552))) % 194.45/194.28 [9156]~P112(x91561)+~P1(f324(f61(x91561),x91563))+~P1(f324(f324(f326(x91561),x91564),x91563))+P1(f324(f324(f234(x91561),f324(f324(f64(x91561,x91561,f188(x91561)),x91562),x91563)),f324(f324(f188(x91561),x91564),x91562))) % 194.45/194.28 [9203]E(f324(f324(f175(x92031),x92032),x92033),f324(f324(f175(x92031),x92032),x92034))+P1(f324(f324(f235(a920),f707(x92033,x92034,x92031,x92032)),x92032))+~P1(f324(f324(f234(a920),x92032),f324(f190(f921(x92031)),x92033)))+~P1(f324(f324(f234(a920),x92032),f324(f190(f921(x92031)),x92034))) % 194.45/194.28 [9208]~P1(f324(f324(f235(a1),f2(a1)),x92083))+~P1(f324(f324(f234(a1),x92081),x92082))+P1(f324(f324(f326(a1),f484(x92081,x92084,x92083,x92082)),f300(a1,f77(a1),x92083)))+P1(f324(f324(f234(a1),x92081),f324(f324(f79(a1),x92082),x92083))) % 194.45/194.28 [9209]~P1(f324(f324(f235(a1),f2(a1)),x92093))+~P1(f324(f324(f235(a1),x92091),x92092))+P1(f324(f324(f326(a1),f494(x92091,x92094,x92093,x92092)),f300(a1,f77(a1),x92093)))+P1(f324(f324(f235(a1),x92091),f324(f324(f79(a1),x92092),x92093))) % 194.45/194.28 [9544]~P107(x95441)+~P1(f324(f61(x95441),x95444))+P1(f324(f324(f326(x95441),f407(x95442,x95443,x95444,x95441)),x95444))+P1(f324(f324(f234(x95441),f324(f324(f64(x95441,x95441,f112(x95441)),x95442),x95444)),f324(f324(f112(x95441),x95443),x95442))) % 194.45/194.28 [9545]~P112(x95451)+~P1(f324(f61(x95451),x95454))+P1(f324(f324(f326(x95451),f637(x95452,x95453,x95454,x95451)),x95454))+P1(f324(f324(f234(x95451),f324(f324(f64(x95451,x95451,f233(x95451)),x95452),x95454)),f324(f324(f233(x95451),x95453),x95452))) % 194.45/194.28 [9674]~P107(x96741)+~P1(f324(f61(x96741),x96743))+~P1(f324(f324(f234(x96741),f407(x96742,x96744,x96743,x96741)),x96744))+P1(f324(f324(f234(x96741),f324(f324(f64(x96741,x96741,f112(x96741)),x96742),x96743)),f324(f324(f112(x96741),x96744),x96742))) % 194.45/194.28 [9675]~P112(x96751)+~P1(f324(f61(x96751),x96753))+~P1(f324(f324(f234(x96751),f637(x96752,x96754,x96753,x96751)),x96754))+P1(f324(f324(f234(x96751),f324(f324(f64(x96751,x96751,f233(x96751)),x96752),x96753)),f324(f324(f233(x96751),x96754),x96752))) % 194.45/194.28 [9677]~P1(f324(f324(f234(a1),f2(a1)),x96774))+~P1(f324(f324(f235(a1),f2(a1)),x96773))+~P1(f324(f324(f235(a1),x96774),x96771))+P1(f324(f324(f235(a1),f324(f324(f79(a1),f324(f324(f80(a1),x96771),f45(a1,x96772,x96773))),x96774)),f324(f324(f80(a1),x96771),x96773))) % 194.45/194.28 [9960]~P113(x99601)+P1(f324(f324(f234(x99601),f324(x99602,x99603)),f324(x99602,x99604)))+~P1(f324(f324(f234(a920),x99603),x99604))+~P1(f324(f324(f234(x99601),f324(x99602,f368(x99604,x99603,x99602,x99601))),f324(x99602,f324(a114,f368(x99604,x99603,x99602,x99601))))) % 194.45/194.28 [10068]E(x100681,x100682)+P1(f324(f324(f326(f927(f921(x100683),f921(x100683))),f324(f324(f252(f921(x100683),f921(x100683)),x100682),x100681)),f147(x100683,x100684)))+P1(f324(f324(f326(f927(f921(x100683),f921(x100683))),f324(f324(f252(f921(x100683),f921(x100683)),x100681),x100682)),f147(x100683,x100684)))+~P1(f324(f324(f326(f927(x100683,x100683)),f324(f324(f252(x100683,x100683),f677(x100681,x100682,x100684,x100683)),f682(x100681,x100682,x100684,x100683))),x100684)) % 194.45/194.28 [10069]E(x100691,x100692)+P1(f324(f324(f326(f927(f921(x100693),f921(x100693))),f324(f324(f252(f921(x100693),f921(x100693)),x100692),x100691)),f147(x100693,x100694)))+P1(f324(f324(f326(f927(f921(x100693),f921(x100693))),f324(f324(f252(f921(x100693),f921(x100693)),x100691),x100692)),f147(x100693,x100694)))+~P1(f324(f324(f326(f927(x100693,x100693)),f324(f324(f252(x100693,x100693),f682(x100691,x100692,x100694,x100693)),f677(x100691,x100692,x100694,x100693))),x100694)) % 194.45/194.28 [7600]~P107(x76001)+~P1(f324(f324(f234(x76001),x76003),x76004))+~P1(f324(f324(f234(x76001),x76002),x76004))+P1(f324(f324(f234(x76001),f324(f324(f112(x76001),x76002),x76003)),x76004)) % 194.45/194.28 [7603]~P112(x76031)+~P1(f324(f324(f234(x76031),x76033),x76034))+~P1(f324(f324(f234(x76031),x76032),x76034))+P1(f324(f324(f234(x76031),f324(f324(f233(x76031),x76032),x76033)),x76034)) % 194.45/194.28 [7604]~P112(x76041)+~P1(f324(f324(f235(x76041),x76043),x76044))+~P1(f324(f324(f235(x76041),x76042),x76044))+P1(f324(f324(f235(x76041),f324(f324(f233(x76041),x76042),x76043)),x76044)) % 194.45/194.28 [7918]~E(x79181,x79183)+E(f139(a920,f324(f299(a920,x79181),x79182)),f324(f324(f151(a920),x79183),x79184))+~E(f139(a920,f324(f299(a920,f324(f324(f79(a920),x79181),f77(a920))),x79182)),x79184)+~P1(f324(f324(f235(a920),x79181),x79182)) % 194.45/194.28 [7926]~P112(x79261)+P1(f324(f324(f234(x79261),x79262),x79263))+P1(f324(f324(f234(x79261),x79264),x79263))+~P1(f324(f324(f234(x79261),f324(f324(f188(x79261),x79264),x79262)),x79263)) % 194.45/194.28 [7927]~P112(x79271)+P1(f324(f324(f235(x79271),x79272),x79273))+P1(f324(f324(f235(x79271),x79274),x79273))+~P1(f324(f324(f235(x79271),f324(f324(f188(x79271),x79274),x79272)),x79273)) % 194.45/194.28 [8214]~P72(x82141)+~P1(f324(f324(f235(x82141),f2(x82141)),x82143))+~P1(f324(f324(f234(x82141),x82142),f324(f324(f287(x82141),x82144),x82143)))+P1(f324(f324(f234(x82141),f324(f324(f80(x82141),x82142),x82143)),x82144)) % 194.45/194.28 [8215]~P73(x82151)+~P1(f324(f324(f235(x82151),f2(x82151)),x82153))+~P1(f324(f324(f234(x82151),x82152),f324(f324(f287(x82151),x82154),x82153)))+P1(f324(f324(f234(x82151),f324(f324(f80(x82151),x82152),x82153)),x82154)) % 194.45/194.28 [8216]~P72(x82161)+~P1(f324(f324(f235(x82161),f2(x82161)),x82163))+~P1(f324(f324(f234(x82161),x82162),f324(f324(f80(x82161),x82164),x82163)))+P1(f324(f324(f234(x82161),f324(f324(f287(x82161),x82162),x82163)),x82164)) % 194.45/194.28 [8218]~P73(x82181)+~P1(f324(f324(f235(x82181),f2(x82181)),x82183))+~P1(f324(f324(f234(x82181),x82182),f324(f324(f80(x82181),x82184),x82183)))+P1(f324(f324(f234(x82181),f324(f324(f287(x82181),x82182),x82183)),x82184)) % 194.45/194.28 [8219]~P72(x82191)+~P1(f324(f324(f235(x82191),f2(x82191)),x82193))+~P1(f324(f324(f235(x82191),x82192),f324(f324(f287(x82191),x82194),x82193)))+P1(f324(f324(f235(x82191),f324(f324(f80(x82191),x82192),x82193)),x82194)) % 194.45/194.28 [8220]~P73(x82201)+~P1(f324(f324(f235(x82201),f2(x82201)),x82203))+~P1(f324(f324(f235(x82201),x82202),f324(f324(f287(x82201),x82204),x82203)))+P1(f324(f324(f235(x82201),f324(f324(f80(x82201),x82202),x82203)),x82204)) % 194.45/194.28 [8221]~P72(x82211)+~P1(f324(f324(f235(x82211),f2(x82211)),x82213))+~P1(f324(f324(f235(x82211),x82212),f324(f324(f80(x82211),x82214),x82213)))+P1(f324(f324(f235(x82211),f324(f324(f287(x82211),x82212),x82213)),x82214)) % 194.45/194.28 [8223]~P73(x82231)+~P1(f324(f324(f235(x82231),f2(x82231)),x82233))+~P1(f324(f324(f235(x82231),x82232),f324(f324(f80(x82231),x82234),x82233)))+P1(f324(f324(f235(x82231),f324(f324(f287(x82231),x82232),x82233)),x82234)) % 194.45/194.28 [8350]~P72(x83501)+~P1(f324(f324(f235(x83501),f2(x83501)),x83504))+P1(f324(f324(f234(x83501),x83502),f324(f324(f80(x83501),x83503),x83504)))+~P1(f324(f324(f234(x83501),f324(f324(f287(x83501),x83502),x83504)),x83503)) % 194.45/194.28 [8351]~P72(x83511)+~P1(f324(f324(f235(x83511),f2(x83511)),x83514))+P1(f324(f324(f234(x83511),x83512),f324(f324(f287(x83511),x83513),x83514)))+~P1(f324(f324(f234(x83511),f324(f324(f80(x83511),x83512),x83514)),x83513)) % 194.45/194.28 [8353]~P73(x83531)+~P1(f324(f324(f235(x83531),f2(x83531)),x83534))+P1(f324(f324(f234(x83531),x83532),f324(f324(f80(x83531),x83533),x83534)))+~P1(f324(f324(f234(x83531),f324(f324(f287(x83531),x83532),x83534)),x83533)) % 194.45/194.28 [8354]~P73(x83541)+~P1(f324(f324(f235(x83541),f2(x83541)),x83544))+P1(f324(f324(f234(x83541),x83542),f324(f324(f287(x83541),x83543),x83544)))+~P1(f324(f324(f234(x83541),f324(f324(f80(x83541),x83542),x83544)),x83543)) % 194.45/194.28 [8355]~P72(x83551)+~P1(f324(f324(f235(x83551),f2(x83551)),x83554))+P1(f324(f324(f235(x83551),x83552),f324(f324(f80(x83551),x83553),x83554)))+~P1(f324(f324(f235(x83551),f324(f324(f287(x83551),x83552),x83554)),x83553)) % 194.45/194.28 [8356]~P72(x83561)+~P1(f324(f324(f235(x83561),f2(x83561)),x83564))+P1(f324(f324(f235(x83561),x83562),f324(f324(f287(x83561),x83563),x83564)))+~P1(f324(f324(f235(x83561),f324(f324(f80(x83561),x83562),x83564)),x83563)) % 194.45/194.28 [8358]~P73(x83581)+~P1(f324(f324(f235(x83581),f2(x83581)),x83584))+P1(f324(f324(f235(x83581),x83582),f324(f324(f80(x83581),x83583),x83584)))+~P1(f324(f324(f235(x83581),f324(f324(f287(x83581),x83582),x83584)),x83583)) % 194.45/194.28 [8359]~P73(x83591)+~P1(f324(f324(f235(x83591),f2(x83591)),x83594))+P1(f324(f324(f235(x83591),x83592),f324(f324(f287(x83591),x83593),x83594)))+~P1(f324(f324(f235(x83591),f324(f324(f80(x83591),x83592),x83594)),x83593)) % 194.45/194.28 [8520]~P73(x85201)+~P1(f324(f324(f235(x85201),x85203),f2(x85201)))+~P1(f324(f324(f234(x85201),f324(f324(f287(x85201),x85204),x85203)),x85202))+P1(f324(f324(f234(x85201),f324(f324(f80(x85201),x85202),x85203)),x85204)) % 194.45/194.28 [8521]~P73(x85211)+~P1(f324(f324(f235(x85211),x85213),f2(x85211)))+~P1(f324(f324(f234(x85211),f324(f324(f80(x85211),x85214),x85213)),x85212))+P1(f324(f324(f234(x85211),f324(f324(f287(x85211),x85212),x85213)),x85214)) % 194.45/194.28 [8522]~P73(x85221)+~P1(f324(f324(f235(x85221),x85223),f2(x85221)))+~P1(f324(f324(f235(x85221),f324(f324(f287(x85221),x85224),x85223)),x85222))+P1(f324(f324(f235(x85221),f324(f324(f80(x85221),x85222),x85223)),x85224)) % 194.45/194.28 [8523]~P73(x85231)+~P1(f324(f324(f235(x85231),x85233),f2(x85231)))+~P1(f324(f324(f235(x85231),f324(f324(f80(x85231),x85234),x85233)),x85232))+P1(f324(f324(f235(x85231),f324(f324(f287(x85231),x85232),x85233)),x85234)) % 194.45/194.28 [8535]~P1(f324(x85351,x85354))+~P1(f324(f324(f235(a920),x85352),f324(f324(f80(a920),x85353),f324(a114,x85354))))+P1(f324(x85351,f324(f324(f36(a920),x85352),x85353)))+~P1(f324(f324(f234(a920),f324(f324(f80(a920),x85353),x85354)),x85352)) % 194.45/194.28 [8747]~P107(x87471)+~P1(f324(f61(x87471),x87474))+~P1(f324(f324(f326(x87471),x87472),x87474))+P1(f324(f324(f234(x87471),f324(f324(f112(x87471),x87472),x87473)),f324(f324(f64(x87471,x87471,f112(x87471)),x87473),x87474))) % 194.45/194.28 [8748]~P112(x87481)+~P1(f324(f61(x87481),x87484))+~P1(f324(f324(f326(x87481),x87482),x87484))+P1(f324(f324(f234(x87481),f324(f324(f233(x87481),x87482),x87483)),f324(f324(f64(x87481,x87481,f233(x87481)),x87483),x87484))) % 194.45/194.28 [8899]~P1(f324(f61(x88991),x88992))+E(f324(f35(x88991),f324(f324(f3(f928(x88991,a916)),x88992),f324(f324(f306(x88991),x88993),x88994))),f324(f324(f3(a920),f324(f35(x88991),f324(f324(f3(f928(x88991,a916)),x88992),x88994))),f77(a920)))+P1(f324(f324(f326(x88991),x88993),x88994))+~P1(f324(f324(f326(x88991),x88993),x88992)) % 194.45/194.28 [8977]E(f324(f324(f79(a1),f469(x89771,x89772,x89773,x89774)),f470(x89771,x89772,x89773,x89774)),x89774)+~P1(f324(f324(f235(a1),f2(a1)),x89773))+~P1(f324(f324(f234(a1),x89774),x89771))+P1(f324(f324(f234(a1),f324(f324(f3(a1),x89774),x89773)),x89771)) % 194.45/194.28 [8978]E(f324(f324(f79(a1),f495(x89781,x89782,x89783,x89784)),f496(x89781,x89782,x89783,x89784)),x89784)+~P1(f324(f324(f235(a1),f2(a1)),x89783))+~P1(f324(f324(f235(a1),x89784),x89781))+P1(f324(f324(f235(a1),f324(f324(f3(a1),x89784),x89783)),x89781)) % 194.45/194.28 [9188]~P1(f324(f324(f235(a1),f2(a1)),x91883))+~P1(f324(f324(f234(a1),x91884),x91881))+P1(f324(f324(f326(a1),f469(x91881,x91882,x91883,x91884)),x91882))+P1(f324(f324(f234(a1),f324(f324(f3(a1),x91884),x91883)),x91881)) % 194.45/194.28 [9189]~P1(f324(f324(f235(a1),f2(a1)),x91893))+~P1(f324(f324(f235(a1),x91894),x91891))+P1(f324(f324(f326(a1),f495(x91891,x91892,x91893,x91894)),x91892))+P1(f324(f324(f235(a1),f324(f324(f3(a1),x91894),x91893)),x91891)) % 194.45/194.28 [9275]~P1(f324(f324(f235(a1),f2(a1)),x92752))+~P1(f324(f324(f234(a1),x92751),x92753))+P1(f324(f324(f326(a1),f470(x92753,x92754,x92752,x92751)),f300(a1,f77(a1),x92752)))+P1(f324(f324(f234(a1),f324(f324(f3(a1),x92751),x92752)),x92753)) % 194.45/194.28 [9276]~P1(f324(f324(f235(a1),f2(a1)),x92762))+~P1(f324(f324(f235(a1),x92761),x92763))+P1(f324(f324(f326(a1),f496(x92763,x92764,x92762,x92761)),f300(a1,f77(a1),x92762)))+P1(f324(f324(f235(a1),f324(f324(f3(a1),x92761),x92762)),x92763)) % 194.45/194.28 [9301]~P1(f324(f324(f234(a1),f2(a1)),x93014))+~P1(f324(f324(f235(a1),f2(a1)),x93013))+~P1(f324(f324(f235(a1),x93014),x93011))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),f324(f324(f80(a1),x93011),f45(a1,x93012,x93013))),x93014))) % 194.45/194.28 [9334]E(x93341,x93342)+~P37(x93343,x93344)+~P1(f324(f324(f326(f927(x93343,x93343)),f324(f324(f252(x93343,x93343),x93342),x93341)),x93344))+~P1(f324(f324(f326(f927(x93343,x93343)),f324(f324(f252(x93343,x93343),x93341),x93342)),x93344)) % 194.45/194.28 [9369]~P63(x93691)+~P1(f324(f61(x93691),x93694))+~P1(f324(f324(f234(x93691),x93692),f406(x93693,x93692,x93694,x93691)))+P1(f324(f324(f234(x93691),f324(f324(f103(x93691),x93692),x93693)),f324(f324(f64(x93691,x93691,f103(x93691)),x93693),x93694))) % 194.45/194.28 [9370]~P112(x93701)+~P1(f324(f61(x93701),x93704))+~P1(f324(f324(f234(x93701),x93702),f401(x93703,x93702,x93704,x93701)))+P1(f324(f324(f234(x93701),f324(f324(f188(x93701),x93702),x93703)),f324(f324(f64(x93701,x93701,f188(x93701)),x93703),x93704))) % 194.45/194.28 [9384]~P1(f324(f324(f234(a1),x93844),f2(a1)))+~P1(f324(f324(f235(a1),f2(a1)),x93842))+~P1(f324(f324(f235(a1),x93841),x93844))+P1(f324(f324(f235(a1),f324(f324(f80(a1),x93841),x93842)),f324(f324(f79(a1),f324(f324(f80(a1),x93841),f45(a1,x93843,x93842))),x93844))) % 194.45/194.28 [9409]P1(f324(f61(x94091),x94092))+~P1(f324(f61(x94091),x94093))+~P1(f324(f324(f326(f928(x94091,a916)),x94092),f324(f324(f60(x94091),x94093),x94094)))+~P1(f324(f324(f234(f928(f927(x94091,x94091),a916)),x94094),f324(f324(f254(x94091,x94091),x94093),f324(f18(f928(x94091,a916),x94091),x94093)))) % 194.45/194.28 [9434]~P112(x94341)+~P1(f324(f61(x94341),x94344))+P1(f324(f324(f326(x94341),f401(x94342,x94343,x94344,x94341)),x94344))+P1(f324(f324(f234(x94341),f324(f324(f188(x94341),x94343),x94342)),f324(f324(f64(x94341,x94341,f188(x94341)),x94342),x94344))) % 194.45/194.28 [9435]~P63(x94351)+~P1(f324(f61(x94351),x94354))+P1(f324(f324(f326(x94351),f406(x94352,x94353,x94354,x94351)),x94354))+P1(f324(f324(f234(x94351),f324(f324(f103(x94351),x94353),x94352)),f324(f324(f64(x94351,x94351,f103(x94351)),x94352),x94354))) % 194.45/194.28 [9446]~P38(f928(x94461,a916),f928(x94461,a916),x94463)+~P1(f324(f324(f326(x94461),x94462),x94464))+P1(f324(f324(f326(x94461),x94462),f98(f928(x94461,a916),x94463)))+~P1(f324(f324(f234(f928(x94461,a916)),x94464),f324(x94463,f324(f324(f112(f928(x94461,a916)),x94464),f98(f928(x94461,a916),x94463))))) % 194.45/194.28 [9629]~P38(f928(x96293,a916),f928(x96293,a916),x96294)+P1(f324(x96291,x96292))+~P1(f324(f324(f326(x96293),x96292),f97(f928(x96293,a916),x96294)))+P1(f324(f324(f326(x96293),f588(x96291,x96294,x96292,x96293)),f324(x96294,f324(f324(f103(f928(x96293,a916)),f97(f928(x96293,a916),x96294)),f324(f262(x96293),x96291))))) % 194.45/194.28 [9842]~P1(f324(f61(x98422),x98424))+~P1(f324(f61(x98421),x98423))+~P1(f324(f324(f234(a920),f324(f35(x98422),x98424)),f324(f35(x98421),x98423)))+P1(f324(f324(f234(f928(x98421,a916)),f324(f307(x98422,x98421,f554(x98423,x98421,x98424,x98422)),x98424)),x98423)) % 194.45/194.28 [9485]~P1(f324(f324(f326(x94851),x94852),x94854))+P1(f324(f324(f326(x94851),x94852),x94853))+~P1(f324(f324(f235(f928(x94851,a916)),x94854),f324(f324(f306(x94851),x94852),x94853)))+P1(f324(f324(f235(f928(x94851,a916)),f324(f324(f3(f928(x94851,a916)),x94854),f324(f324(f306(x94851),x94852),f189(f928(x94851,a916))))),x94853)) % 194.45/194.28 [9654]~P1(f324(f324(f326(x96541),x96542),x96544))+P1(f324(f324(f326(x96541),x96542),x96543))+P1(f324(f324(f235(f928(x96541,a916)),x96544),f324(f324(f306(x96541),x96542),x96543)))+~P1(f324(f324(f235(f928(x96541,a916)),f324(f324(f3(f928(x96541,a916)),x96544),f324(f324(f306(x96541),x96542),f189(f928(x96541,a916))))),x96543)) % 194.45/194.28 [9680]P1(f324(f324(f326(x96801),x96802),x96803))+~P1(f324(f324(f234(f928(x96801,a916)),x96804),x96803))+P1(f324(f324(f235(f928(x96801,a916)),x96804),f324(f324(f306(x96801),x96802),x96803)))+~P1(f324(f324(f235(f928(x96801,a916)),f324(f324(f3(f928(x96801,a916)),x96804),f324(f324(f306(x96801),x96802),f189(f928(x96801,a916))))),x96803)) % 194.45/194.28 [9685]~P1(f324(f324(f326(x96851),x96853),x96852))+~P1(f324(f324(f235(f928(x96851,a916)),x96852),x96854))+P1(f324(f324(f235(f928(x96851,a916)),x96852),f324(f324(f306(x96851),x96853),x96854)))+~P1(f324(f324(f235(f928(x96851,a916)),f324(f324(f3(f928(x96851,a916)),x96852),f324(f324(f306(x96851),x96853),f189(f928(x96851,a916))))),x96854)) % 194.45/194.28 [9701]~P1(f324(f324(f234(f928(x97011,a916)),x97012),x97014))+~P1(f324(f324(f235(f928(x97011,a916)),x97012),x97014))+P1(f324(f324(f235(f928(x97011,a916)),x97012),f324(f324(f306(x97011),x97013),x97014)))+~P1(f324(f324(f235(f928(x97011,a916)),f324(f324(f3(f928(x97011,a916)),x97012),f324(f324(f306(x97011),x97013),f189(f928(x97011,a916))))),x97014)) % 194.45/194.28 [9746]~P113(x97462)+~P69(x97461)+~P1(f324(f324(f234(f928(x97461,x97462)),x97463),x97464))+P1(f324(f57(x97461),f324(f324(f20(x97461,x97462,a916),f324(f324(f10(x97462,f928(x97462,a916),x97461),f234(x97462)),x97463)),x97464))) % 194.45/194.28 [9891]~P113(x98912)+~P69(x98911)+P1(f324(f324(f234(f928(x98911,x98912)),x98913),x98914))+~P1(f324(f57(x98911),f324(f324(f20(x98911,x98912,a916),f324(f324(f10(x98912,f928(x98912,a916),x98911),f234(x98912)),x98913)),x98914))) % 194.45/194.28 [10380]~P38(f928(x103801,a916),f928(x103801,a916),x103803)+~P1(f324(f324(f326(x103801),x103802),x103804))+P1(f324(f324(f326(x103801),x103802),f98(f928(x103801,a916),x103803)))+~P1(f324(f324(f234(f928(x103801,a916)),x103804),f324(x103803,f97(f928(x103801,a916),f324(f324(f9(f928(x103801,a916),f928(x103801,a916),f928(x103801,a916)),f324(f324(f10(f928(x103801,a916),f928(f928(x103801,a916),f928(x103801,a916)),f928(x103801,a916)),f112(f928(x103801,a916))),f324(f324(f9(f928(x103801,a916),f928(x103801,a916),f928(x103801,a916)),f324(f324(f10(f928(x103801,a916),f928(f928(x103801,a916),f928(x103801,a916)),f928(x103801,a916)),f112(f928(x103801,a916))),x103803)),x103804))),f98(f928(x103801,a916),x103803)))))) % 194.45/194.28 [10059]E(f324(f324(f164(x100591),f324(f324(f164(f921(x100591)),f179(x100591,x100592)),x100593)),x100594),f324(f324(f164(x100591),f324(f324(f164(f921(x100591)),x100592),x100594)),x100593))+~P1(f324(f324(f235(a920),x100593),f324(f190(f921(f921(x100591))),f179(x100591,x100592))))+~P10(a920,f324(f168(a920),f324(f324(f154(f921(x100591),a920),f190(f921(x100591))),x100592)))+~P1(f324(f324(f235(a920),x100594),f324(f190(f921(f921(x100591))),f324(f136(f921(x100591),f324(f324(f10(a920,a916,f921(x100591)),f324(f235(a920),x100593)),f190(f921(x100591)))),x100592)))) % 194.45/194.28 [10080]~P1(f324(f324(f326(f927(a920,a920)),x100804),x100801))+~P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),x100804),x100802)),a70))+~P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x100801),x100803)),a71))+P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x100801),f324(f324(f306(f927(a920,a920)),x100802),x100803))),a71)) % 194.45/194.28 [10081]~P1(f324(f324(f326(f927(a920,a920)),x100814),x100811))+~P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),x100814),x100812)),a32))+~P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x100811),x100813)),a33))+P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x100811),f324(f324(f306(f927(a920,a920)),x100812),x100813))),a33)) % 194.45/194.28 [9972]~P113(x99722)+~P69(x99721)+~P1(f324(f324(f235(f928(x99721,x99722)),x99723),x99724))+P1(f324(f56(x99721),f324(f324(f10(a916,a916,x99721),a319),f324(f324(f20(x99721,x99722,a916),f324(f324(f10(x99722,f928(x99722,a916),x99721),a321),x99723)),x99724)))) % 194.45/194.28 [10094]~P1(f324(f324(f326(f927(a920,a920)),x100944),x100943))+~P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),x100941),x100944)),a70))+~P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x100942),x100943)),a69))+P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f324(f324(f306(f927(a920,a920)),x100941),x100942)),x100943)),a69)) % 194.45/194.28 [10095]~P1(f324(f324(f326(f927(a920,a920)),x100954),x100953))+~P1(f324(f324(f326(f927(f927(a920,a920),f927(a920,a920))),f324(f324(f252(f927(a920,a920),f927(a920,a920)),x100951),x100954)),a32))+~P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x100952),x100953)),a34))+P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f324(f324(f306(f927(a920,a920)),x100951),x100952)),x100953)),a34)) % 194.45/194.28 [6177]~P4(x61774,x61771)+~P1(f324(f324(x61771,x61772),x61775))+P1(f324(f324(x61771,x61772),x61773))+~P1(f324(f324(x61771,x61775),x61773)) % 194.45/194.28 [6178]~P50(x61784,x61781)+~P1(f324(f324(x61781,x61782),x61785))+P1(f324(f324(x61781,x61782),x61783))+~P1(f324(f324(x61781,x61785),x61783)) % 194.45/194.28 [6179]~P13(x61794,x61791)+~P1(f324(f324(x61791,x61792),x61795))+P1(f324(f324(x61791,x61792),x61793))+~P1(f324(f324(x61791,x61795),x61793)) % 194.45/194.28 [9735]~P36(x97351,x97354)+P1(f324(f324(f326(f927(f921(x97351),f921(x97351))),f324(f324(f252(f921(x97351),f921(x97351)),x97352),x97353)),f147(x97351,x97354)))+~P1(f324(f324(f326(f927(f921(x97351),f921(x97351))),f324(f324(f252(f921(x97351),f921(x97351)),x97352),x97355)),f147(x97351,x97354)))+~P1(f324(f324(f326(f927(f921(x97351),f921(x97351))),f324(f324(f252(f921(x97351),f921(x97351)),x97355),x97353)),f147(x97351,x97354))) % 194.45/194.28 [5423]~P65(x54235)+E(x54231,x54232)+~E(x54233,x54234)+~E(f324(f324(f3(x54235),x54233),x54234),f324(f324(f3(x54235),x54231),x54232)) % 194.45/194.28 [6292]~P15(x62925,x62921,x62923)+E(f324(f324(x62921,x62922),f324(x62923,x62924)),f324(x62923,x62924))+~P1(f324(f61(x62925),x62924))+~P1(f324(f324(f326(x62925),x62922),x62924)) % 194.45/194.28 [6482]~P86(x64821)+~E(f324(f324(f3(x64821),x64824),x64825),f324(f324(f3(x64821),x64822),x64823))+~P1(f324(f324(f234(x64821),x64824),x64825))+P1(f324(f324(f234(x64821),x64822),x64823)) % 194.45/194.28 [6484]~P86(x64841)+~E(f324(f324(f3(x64841),x64844),x64845),f324(f324(f3(x64841),x64842),x64843))+~P1(f324(f324(f235(x64841),x64844),x64845))+P1(f324(f324(f235(x64841),x64842),x64843)) % 194.45/194.28 [7457]~E(x74572,f324(f324(f151(x74571),x74574),x74575))+P1(f324(f324(f326(f921(x74571)),x74572),f161(x74571,x74573)))+~P1(f324(f324(f326(f921(x74571)),x74575),f161(x74571,x74573)))+~P1(f324(f324(f326(x74571),x74574),x74573)) % 194.45/194.28 [7867]~E(f324(f190(f921(x78671)),x78673),f324(f190(f921(x78672)),x78674))+~E(f324(f324(f154(f927(x78671,x78672),x78672),f256(x78671,x78672)),x78675),x78674)+~E(f324(f324(f154(f927(x78671,x78672),x78671),f251(x78671,x78672)),x78675),x78673)+E(f324(f324(f181(x78671,x78672),x78673),x78674),x78675) % 194.45/194.28 [8210]~P113(x82101)+P1(f324(f324(f235(f928(x82101,a916)),f300(x82101,x82102,x82103)),f300(x82101,x82104,x82105)))+~P1(f324(f324(f234(x82101),x82104),x82105))+P1(f324(f324(f234(x82101),x82102),x82103)) % 194.45/194.28 [8307]~P113(x83071)+P1(f324(f324(f234(f928(x83071,a916)),f300(x83071,x83072,x83073)),f300(x83071,x83074,x83075)))+~P1(f324(f324(f234(x83071),x83073),x83075))+~P1(f324(f324(f234(x83071),x83074),x83072)) % 194.45/194.28 [8426]~P112(x84261)+P1(f324(f324(f234(x84261),x84262),x84263))+P1(f324(f324(f234(x84261),x84264),x84263))+~P1(f324(f324(f234(f928(x84261,a916)),f324(f299(x84261,x84263),x84262)),f324(f299(x84261,x84264),x84265))) % 194.45/194.28 [8427]~P112(x84271)+P1(f324(f324(f234(x84271),x84272),x84273))+P1(f324(f324(f234(x84271),x84272),x84274))+~P1(f324(f324(f234(f928(x84271,a916)),f324(f299(x84271,x84273),x84272)),f324(f299(x84271,x84275),x84274))) % 194.45/194.28 [8596]~P63(x85963)+~P63(x85961)+~P38(x85963,x85961,x85962)+P1(f324(f324(f234(x85961),f324(x85962,f324(f324(f103(x85963),x85964),x85965))),f324(f324(f103(x85961),f324(x85962,x85964)),f324(x85962,x85965)))) % 194.45/194.28 [8597]~P112(x85973)+~P63(x85971)+~P38(x85973,x85971,x85972)+P1(f324(f324(f234(x85971),f324(x85972,f324(f324(f188(x85973),x85974),x85975))),f324(f324(f103(x85971),f324(x85972,x85974)),f324(x85972,x85975)))) % 194.45/194.28 [8664]~P113(x86641)+~P1(f324(f324(f234(f928(x86641,a916)),f300(x86641,x86644,x86642)),f300(x86641,x86645,x86643)))+P1(f324(f324(f234(x86641),x86642),x86643))+~P1(f324(f324(f234(x86641),x86644),x86642)) % 194.45/194.28 [8665]~P113(x86651)+~P1(f324(f324(f235(f928(x86651,a916)),f300(x86651,x86654,x86652)),f300(x86651,x86655,x86653)))+P1(f324(f324(f234(x86651),x86652),x86653))+~P1(f324(f324(f234(x86651),x86654),x86652)) % 194.45/194.28 [8666]~P113(x86661)+~P1(f324(f324(f234(f928(x86661,a916)),f300(x86661,x86663,x86664)),f300(x86661,x86662,x86665)))+P1(f324(f324(f234(x86661),x86662),x86663))+~P1(f324(f324(f234(x86661),x86663),x86664)) % 194.45/194.28 [8667]~P113(x86671)+~P1(f324(f324(f235(f928(x86671,a916)),f300(x86671,x86673,x86674)),f300(x86671,x86672,x86675)))+P1(f324(f324(f234(x86671),x86672),x86673))+~P1(f324(f324(f234(x86671),x86673),x86674)) % 194.45/194.28 [9179]P1(f324(x91791,x91792))+~P1(f324(x91795,f895(x91794,x91791,x91795,x91793)))+P1(f324(x91793,f875(x91794,x91791,x91795,x91793)))+~P1(f324(f324(f326(x91794),x91792),x91793)) % 194.45/194.28 [9180]P1(f324(x91801,x91802))+~P1(f324(x91803,f895(x91804,x91801,x91803,x91805)))+P1(f324(x91803,f875(x91804,x91801,x91803,x91805)))+~P1(f324(f324(f326(x91804),x91802),x91805)) % 194.45/194.28 [9328]P1(f324(x93281,x93282))+P1(f324(x93283,f875(x93284,x93281,x93285,x93283)))+P1(f324(f324(f326(x93284),f895(x93284,x93281,x93285,x93283)),x93283))+~P1(f324(f324(f326(x93284),x93282),x93283)) % 194.45/194.28 [9329]P1(f324(x93291,x93292))+P1(f324(x93293,f875(x93294,x93291,x93293,x93295)))+P1(f324(f324(f326(x93294),f895(x93294,x93291,x93293,x93295)),x93295))+~P1(f324(f324(f326(x93294),x93292),x93295)) % 194.45/194.28 [9354]P1(f324(x93541,x93542))+~P1(f324(x93544,f895(x93543,x93541,x93544,x93545)))+~P1(f324(x93541,f875(x93543,x93541,x93544,x93545)))+~P1(f324(f324(f326(x93543),x93542),x93545)) % 194.45/194.28 [9456]P1(f324(x94561,x94562))+~P1(f324(x94561,f875(x94563,x94561,x94564,x94565)))+P1(f324(f324(f326(x94563),f895(x94563,x94561,x94564,x94565)),x94565))+~P1(f324(f324(f326(x94563),x94562),x94565)) % 194.45/194.28 [6123]~P112(x61235)+~P112(x61231)+~P38(x61235,x61231,x61232)+E(f324(f324(f188(x61231),f324(x61232,x61233)),f324(x61232,x61234)),f324(x61232,f324(f324(f188(x61235),x61233),x61234))) % 194.45/194.28 [6124]~P112(x61245)+~P112(x61241)+~P38(x61245,x61241,x61242)+E(f324(f324(f233(x61241),f324(x61242,x61243)),f324(x61242,x61244)),f324(x61242,f324(f324(f233(x61245),x61243),x61244))) % 194.45/194.28 [6176]~P15(x61762,x61765,x61763)+E(x61761,f189(f928(x61762,a916)))+~P1(f324(f61(x61762),x61761))+E(f324(x61763,f324(f324(f306(x61762),x61764),x61761)),f324(f324(x61765,x61764),f324(x61763,x61761))) % 194.45/194.28 [6951]~E(x69511,x69512)+~E(f324(f324(f103(f928(x69513,a916)),x69514),x69515),f189(f928(x69513,a916)))+~P1(f324(f324(f326(x69513),x69512),x69515))+~P1(f324(f324(f326(x69513),x69511),x69514)) % 194.45/194.28 [7031]~P16(x70312,x70315,x70311)+~P1(f324(f61(x70312),x70314))+E(f324(x70311,f324(f324(f306(x70312),x70313),x70314)),f324(f324(f64(x70312,x70312,x70315),x70313),x70314))+P1(f324(f324(f326(x70312),x70313),x70314)) % 194.45/194.28 [7098]~P77(x70982)+~P1(f324(f61(x70981),x70985))+E(f324(f324(f8(x70981,x70982),x70983),f324(f324(f306(x70981),x70984),x70985)),f324(f324(f79(x70982),f324(x70983,x70984)),f324(f324(f8(x70981,x70982),x70983),x70985)))+P1(f324(f324(f326(x70981),x70984),x70985)) % 194.45/194.28 [7100]~P81(x71002)+~P1(f324(f61(x71001),x71005))+E(f324(f324(f11(x71001,x71002),x71003),f324(f324(f306(x71001),x71004),x71005)),f324(f324(f80(x71002),f324(x71003,x71004)),f324(f324(f11(x71001,x71002),x71003),x71005)))+P1(f324(f324(f326(x71001),x71004),x71005)) % 194.45/194.28 [7613]~P16(x76132,x76135,x76131)+~P1(f324(f61(x76132),x76134))+E(f324(x76131,f324(f324(f306(x76132),x76133),x76134)),x76133)+~E(f324(f324(f3(f928(x76132,a916)),x76134),f324(f324(f306(x76132),x76133),f189(f928(x76132,a916)))),f189(f928(x76132,a916))) % 194.45/194.28 [7976]~P63(x79761)+~P1(f324(f324(f234(x79761),x79763),x79765))+~P1(f324(f324(f234(x79761),x79762),x79764))+P1(f324(f324(f234(x79761),f324(f324(f103(x79761),x79762),x79763)),f324(f324(f103(x79761),x79764),x79765))) % 194.45/194.28 [7977]~P107(x79771)+~P1(f324(f324(f234(x79771),x79773),x79775))+~P1(f324(f324(f234(x79771),x79772),x79774))+P1(f324(f324(f234(x79771),f324(f324(f112(x79771),x79772),x79773)),f324(f324(f112(x79771),x79774),x79775))) % 194.45/194.28 [7978]~P112(x79781)+~P1(f324(f324(f234(x79781),x79783),x79785))+~P1(f324(f324(f234(x79781),x79782),x79784))+P1(f324(f324(f234(x79781),f324(f324(f188(x79781),x79782),x79783)),f324(f324(f188(x79781),x79784),x79785))) % 194.45/194.28 [7979]~P94(x79791)+~P1(f324(f324(f234(x79791),x79793),x79795))+~P1(f324(f324(f234(x79791),x79792),x79794))+P1(f324(f324(f234(x79791),f324(f324(f79(x79791),x79792),x79793)),f324(f324(f79(x79791),x79794),x79795))) % 194.45/194.28 [7980]~P112(x79801)+~P1(f324(f324(f234(x79801),x79803),x79805))+~P1(f324(f324(f234(x79801),x79802),x79804))+P1(f324(f324(f234(x79801),f324(f324(f233(x79801),x79802),x79803)),f324(f324(f233(x79801),x79804),x79805))) % 194.45/194.28 [7981]~P92(x79811)+~P1(f324(f324(f234(x79811),x79813),x79815))+~P1(f324(f324(f235(x79811),x79812),x79814))+P1(f324(f324(f235(x79811),f324(f324(f79(x79811),x79812),x79813)),f324(f324(f79(x79811),x79814),x79815))) % 194.45/194.28 [7982]~P92(x79821)+~P1(f324(f324(f234(x79821),x79822),x79824))+~P1(f324(f324(f235(x79821),x79823),x79825))+P1(f324(f324(f235(x79821),f324(f324(f79(x79821),x79822),x79823)),f324(f324(f79(x79821),x79824),x79825))) % 194.45/194.28 [7983]~P92(x79831)+~P1(f324(f324(f235(x79831),x79833),x79835))+~P1(f324(f324(f235(x79831),x79832),x79834))+P1(f324(f324(f235(x79831),f324(f324(f79(x79831),x79832),x79833)),f324(f324(f79(x79831),x79834),x79835))) % 194.45/194.28 [8123]~P147(x81235)+E(x81231,x81232)+E(x81233,x81234)+~E(f324(f324(f79(x81235),f324(f324(f80(x81235),x81233),x81231)),f324(f324(f80(x81235),x81234),x81232)),f324(f324(f79(x81235),f324(f324(f80(x81235),x81233),x81232)),f324(f324(f80(x81235),x81234),x81231))) % 194.45/194.28 [8264]P25(x82641,x82642,x82643)+~P26(x82641,x82644,x82645)+~P25(x82641,x82642,f551(x82645,x82644,x82641,x82642))+~P1(f324(f324(f326(f919(x82641)),x82643),x82645)) % 194.45/194.28 [8328]~P112(x83284)+~P1(f324(f137(x83281),x83283))+P1(f324(f324(f326(x83281),x83282),f324(f172(x83281),x83283)))+P1(f324(f137(x83281),f324(f324(f148(x83281,x83284,x83285),x83282),x83283))) % 194.45/194.28 [8473]~P65(x84731)+E(f324(f324(f3(x84731),f324(f324(f8(a920,x84731),x84732),f324(f299(a920,x84733),x84734))),f324(f324(f8(a920,x84731),x84732),f324(f299(a920,x84733),x84735))),f324(f324(f8(a920,x84731),x84732),f324(f299(a920,x84735),x84734)))+~P1(f324(f324(f234(a920),x84735),x84734))+~P1(f324(f324(f234(a920),x84733),x84735)) % 194.45/194.28 [8474]~P77(x84741)+E(f324(f324(f79(x84741),f324(f324(f8(a920,x84741),x84742),f324(f299(a920,x84743),x84744))),f324(f324(f8(a920,x84741),x84742),f324(f299(a920,x84744),x84745))),f324(f324(f8(a920,x84741),x84742),f324(f299(a920,x84743),x84745)))+~P1(f324(f324(f234(a920),x84744),x84745))+~P1(f324(f324(f234(a920),x84743),x84744)) % 194.45/194.28 [8807]~P71(x88072)+E(x88071,f2(x88072))+E(x88073,f2(x88072))+E(f324(f324(f287(x88072),f324(f324(f3(x88072),f324(f324(f80(x88072),x88074),x88071)),f324(f324(f80(x88072),x88075),x88073))),f324(f324(f80(x88072),x88073),x88071)),f324(f324(f3(x88072),f324(f324(f287(x88072),x88074),x88073)),f324(f324(f287(x88072),x88075),x88071))) % 194.45/194.28 [8808]~P71(x88082)+E(x88081,f2(x88082))+E(x88083,f2(x88082))+E(f324(f324(f287(x88082),f324(f324(f79(x88082),f324(f324(f80(x88082),x88084),x88081)),f324(f324(f80(x88082),x88085),x88083))),f324(f324(f80(x88082),x88083),x88081)),f324(f324(f79(x88082),f324(f324(f287(x88082),x88084),x88083)),f324(f324(f287(x88082),x88085),x88081))) % 194.45/194.28 [8816]~E(x88162,f324(x88163,x88161))+E(x88161,f547(x88162,x88163,x88164,x88165))+~P22(x88165,x88164,x88163,f242(f928(x88165,a916)))+~P1(f324(f324(f326(x88164),x88162),f324(f307(x88165,x88164,x88163),f242(f928(x88165,a916))))) % 194.45/194.28 [9034]~P125(x90341)+~P1(f324(f324(f235(x90341),f324(f75(x90341),x90342)),x90344))+P1(f324(f324(f235(x90341),f324(f324(f80(x90341),f324(f75(x90341),x90342)),f324(f75(x90341),x90343))),f324(f324(f80(x90341),x90344),x90345)))+~P1(f324(f324(f235(x90341),f324(f75(x90341),x90343)),x90345)) % 194.45/194.28 [9053]~P26(x90531,x90535,x90534)+P25(x90531,x90532,x90533)+P1(f324(f324(f326(f919(x90531)),f551(x90534,x90535,x90531,x90532)),x90535))+~P1(f324(f324(f326(f919(x90531)),x90533),x90534)) % 194.45/194.28 [9147]~P22(x91471,x91473,x91475,x91472)+~P1(f324(f61(x91473),x91474))+P1(f324(f324(f234(a920),f324(f35(x91471),x91472)),f324(f35(x91473),x91474)))+~P1(f324(f324(f234(f928(x91473,a916)),f324(f307(x91471,x91473,x91475),x91472)),x91474)) % 194.45/194.28 [9217]~P77(x92172)+~P22(x92171,x92171,x92174,x92175)+~P1(f324(f61(x92171),x92175))+E(f324(f324(f8(x92171,x92172),f324(f72(x92171,x92172,x92171,x92173),x92174)),x92175),f324(f324(f8(x92171,x92172),x92173),f324(f307(x92171,x92171,x92174),x92175))) % 194.45/194.28 [9218]~P81(x92182)+~P22(x92181,x92181,x92184,x92185)+~P1(f324(f61(x92181),x92185))+E(f324(f324(f11(x92181,x92182),f324(f72(x92181,x92182,x92181,x92183),x92184)),x92185),f324(f324(f11(x92181,x92182),x92183),f324(f307(x92181,x92181,x92184),x92185))) % 194.45/194.28 [9347]~P35(x93471,x93472)+~P1(f324(f324(f326(x93471),x93473),x93474))+~P1(f324(f324(f326(x93471),x93475),x93474))+~P1(f324(f324(f326(f927(x93471,x93471)),f324(f324(f252(x93471,x93471),x93475),f631(x93472,x93471,x93474))),x93472)) % 194.45/194.28 [9383]~P22(x93832,x93833,x93835,x93831)+E(x93831,f189(f928(x93832,a916)))+E(f324(f307(x93833,x93832,f549(x93834,x93833,x93832,x93831)),x93834),x93831)+~P1(f324(f324(f234(f928(x93833,a916)),f324(f307(x93832,x93833,x93835),x93831)),x93834)) % 194.45/194.28 [9872]~P2(x98725)+~P112(x98725)+P1(f324(f324(f326(x98721),f426(x98722,x98723,x98721,x98724,x98725)),x98723))+~P1(f324(f324(f235(x98725),x98724),f324(f324(f40(x98721,x98725),x98723),x98722))) % 194.45/194.28 [9877]~P2(x98771)+~P112(x98771)+P1(f324(f324(f235(x98771),x98772),f324(x98773,f426(x98773,x98774,x98775,x98772,x98771))))+~P1(f324(f324(f235(x98771),x98772),f324(f324(f40(x98775,x98771),x98774),x98773))) % 194.45/194.28 [9956]~P75(x99561)+~P1(f324(f66(x99561,x99561,f80(x99561),x99562,x99563),x99565))+P1(f324(f324(f326(x99561),x99562),x99563))+P1(f324(f66(x99561,x99561,f80(x99561),x99564,f324(f324(f306(x99561),x99562),x99563)),f324(f324(f80(x99561),x99564),x99565))) % 194.45/194.28 [10161]~P77(x101612)+~P1(f324(f61(x101611),x101615))+E(f324(f324(f8(x101611,x101612),f324(f324(f9(x101611,x101612,x101612),f324(f324(f20(x101611,x101612,f928(x101612,x101612)),f324(f324(f10(a916,f928(x101612,f928(x101612,x101612)),x101611),f96(x101612)),f324(a321,x101613))),x101614)),f2(x101612))),x101615),f2(x101612))+P1(f324(f324(f326(x101611),x101613),x101615)) % 194.45/194.28 [10162]~P81(x101622)+~P1(f324(f61(x101621),x101625))+E(f324(f324(f11(x101621,x101622),f324(f324(f9(x101621,x101622,x101622),f324(f324(f20(x101621,x101622,f928(x101622,x101622)),f324(f324(f10(a916,f928(x101622,f928(x101622,x101622)),x101621),f96(x101622)),f324(a321,x101623))),x101624)),f77(x101622))),x101625),f77(x101622))+P1(f324(f324(f326(x101621),x101623),x101625)) % 194.45/194.28 [10163]~P77(x101632)+~P1(f324(f61(x101631),x101635))+E(f324(f324(f8(x101631,x101632),f324(f324(f9(x101631,x101632,x101632),f324(f324(f20(x101631,x101632,f928(x101632,x101632)),f324(f324(f10(a916,f928(x101632,f928(x101632,x101632)),x101631),f96(x101632)),f324(a321,x101633))),x101634)),f2(x101632))),x101635),f324(x101634,x101633))+~P1(f324(f324(f326(x101631),x101633),x101635)) % 194.45/194.28 [10164]~P81(x101642)+~P1(f324(f61(x101641),x101645))+E(f324(f324(f11(x101641,x101642),f324(f324(f9(x101641,x101642,x101642),f324(f324(f20(x101641,x101642,f928(x101642,x101642)),f324(f324(f10(a916,f928(x101642,f928(x101642,x101642)),x101641),f96(x101642)),f324(a321,x101643))),x101644)),f77(x101642))),x101645),f324(x101644,x101643))+~P1(f324(f324(f326(x101641),x101643),x101645)) % 194.45/194.28 [10217]~P77(x102172)+~P1(f324(f61(x102171),x102175))+E(f324(f324(f8(x102171,x102172),f324(f324(f9(x102171,x102172,x102172),f324(f324(f20(x102171,x102172,f928(x102172,x102172)),f324(f324(f10(a916,f928(x102172,f928(x102172,x102172)),x102171),f96(x102172)),f324(f324(f9(x102171,x102171,a916),a321),x102173))),x102174)),f2(x102172))),x102175),f2(x102172))+P1(f324(f324(f326(x102171),x102173),x102175)) % 194.45/194.28 [10218]~P81(x102182)+~P1(f324(f61(x102181),x102185))+E(f324(f324(f11(x102181,x102182),f324(f324(f9(x102181,x102182,x102182),f324(f324(f20(x102181,x102182,f928(x102182,x102182)),f324(f324(f10(a916,f928(x102182,f928(x102182,x102182)),x102181),f96(x102182)),f324(f324(f9(x102181,x102181,a916),a321),x102183))),x102184)),f77(x102182))),x102185),f77(x102182))+P1(f324(f324(f326(x102181),x102183),x102185)) % 194.45/194.28 [10220]~P77(x102202)+~P1(f324(f61(x102201),x102205))+E(f324(f324(f8(x102201,x102202),f324(f324(f9(x102201,x102202,x102202),f324(f324(f20(x102201,x102202,f928(x102202,x102202)),f324(f324(f10(a916,f928(x102202,f928(x102202,x102202)),x102201),f96(x102202)),f324(f324(f9(x102201,x102201,a916),a321),x102203))),x102204)),f2(x102202))),x102205),f324(x102204,x102203))+~P1(f324(f324(f326(x102201),x102203),x102205)) % 194.45/194.28 [10221]~P81(x102212)+~P1(f324(f61(x102211),x102215))+E(f324(f324(f11(x102211,x102212),f324(f324(f9(x102211,x102212,x102212),f324(f324(f20(x102211,x102212,f928(x102212,x102212)),f324(f324(f10(a916,f928(x102212,f928(x102212,x102212)),x102211),f96(x102212)),f324(f324(f9(x102211,x102211,a916),a321),x102213))),x102214)),f77(x102212))),x102215),f324(x102214,x102213))+~P1(f324(f324(f326(x102211),x102213),x102215)) % 194.45/194.28 [7975]~P65(x79752)+~P1(f324(f61(x79751),x79754))+E(f324(f324(f8(x79751,x79752),x79753),f324(f324(f3(f928(x79751,a916)),x79754),f324(f324(f306(x79751),x79755),f189(f928(x79751,a916))))),f324(f324(f8(x79751,x79752),x79753),x79754))+P1(f324(f324(f326(x79751),x79755),x79754)) % 194.45/194.28 [8482]~P124(x84822)+~P1(f324(f61(x84821),x84824))+E(f324(f324(f8(x84821,x84822),x84823),f324(f324(f3(f928(x84821,a916)),x84824),f324(f324(f306(x84821),x84825),f189(f928(x84821,a916))))),f324(f324(f3(x84822),f324(f324(f8(x84821,x84822),x84823),x84824)),f324(x84823,x84825)))+~P1(f324(f324(f326(x84821),x84825),x84824)) % 194.45/194.28 [8483]~P65(x84832)+~P1(f324(f61(x84831),x84834))+E(f324(f324(f8(x84831,x84832),x84833),f324(f324(f3(f928(x84831,a916)),x84834),f324(f324(f306(x84831),x84835),f189(f928(x84831,a916))))),f324(f324(f3(x84832),f324(f324(f8(x84831,x84832),x84833),x84834)),f324(x84833,x84835)))+~P1(f324(f324(f326(x84831),x84835),x84834)) % 194.45/194.28 [8512]~P65(x85121)+~P1(f324(f61(x85122),x85124))+E(f324(f324(f3(x85121),f324(f324(f8(x85122,x85121),x85123),x85124)),f324(f324(f8(x85122,x85121),x85123),x85125)),f324(f324(f8(x85122,x85121),x85123),f324(f324(f3(f928(x85122,a916)),x85124),x85125)))+~P1(f324(f324(f234(f928(x85122,a916)),x85125),x85124)) % 194.45/194.28 [8532]P1(f324(f61(x85321),f324(x85322,x85323)))+~P1(f324(f61(x85324),x85325))+~P1(f324(f324(f326(x85324),x85323),x85325))+~P1(f324(f61(x85321),f324(f324(f40(x85324,f928(x85321,a916)),x85325),x85322))) % 194.45/194.28 [8645]~P107(x86455)+~P107(x86451)+~P38(x86455,x86451,x86452)+P1(f324(f324(f234(x86451),f324(f324(f112(x86451),f324(x86452,x86453)),f324(x86452,x86454))),f324(x86452,f324(f324(f112(x86455),x86453),x86454)))) % 194.45/194.28 [8646]~P112(x86465)+~P107(x86461)+~P38(x86465,x86461,x86462)+P1(f324(f324(f234(x86461),f324(f324(f112(x86461),f324(x86462,x86463)),f324(x86462,x86464))),f324(x86462,f324(f324(f233(x86465),x86463),x86464)))) % 194.45/194.28 [8989]~P5(x89891,x89895,x89894)+~E(f324(f283(x89891,x89891,x89894),f324(f324(f306(x89891),x89892),f189(f928(x89891,a916)))),f324(f283(x89891,x89891,x89894),f324(f324(f306(x89891),x89893),f189(f928(x89891,a916)))))+~P1(f324(f324(f326(x89891),x89893),x89895))+P1(f324(f324(f326(f927(x89891,x89891)),f324(f324(f252(x89891,x89891),x89892),x89893)),x89894)) % 194.45/194.28 [9299]~P1(f324(x92991,x92995))+P1(f324(x92991,f744(x92991,x92992,x92993,x92994)))+P1(f324(x92991,f729(x92991,x92992,x92993,x92994)))+~P1(f324(f324(f326(x92994),x92995),f324(f324(f112(f928(x92994,a916)),x92993),x92992))) % 194.45/194.28 [9490]~P1(f324(x94901,x94905))+P1(f324(x94901,f729(x94901,x94902,x94903,x94904)))+P1(f324(f324(f326(x94904),f744(x94901,x94902,x94903,x94904)),x94902))+~P1(f324(f324(f326(x94904),x94905),f324(f324(f112(f928(x94904,a916)),x94903),x94902))) % 194.45/194.28 [9491]~P1(f324(x94911,x94915))+P1(f324(x94911,f744(x94911,x94912,x94913,x94914)))+P1(f324(f324(f326(x94914),f729(x94911,x94912,x94913,x94914)),x94913))+~P1(f324(f324(f326(x94914),x94915),f324(f324(f112(f928(x94914,a916)),x94913),x94912))) % 194.45/194.28 [9495]P1(f324(x94951,x94952))+~P1(f324(x94951,f721(x94951,x94953,x94954,x94955)))+~P1(f324(x94951,f710(x94951,x94953,x94954,x94955)))+~P1(f324(f324(f326(x94955),x94952),f324(f324(f112(f928(x94955,a916)),x94954),x94953))) % 194.45/194.28 [9500]~P36(x95001,x95004)+~P1(f324(f324(f326(f927(x95001,x95001)),f324(f324(f252(x95001,x95001),x95002),x95005)),x95004))+P1(f324(f324(f326(f927(x95001,x95001)),f324(f324(f252(x95001,x95001),x95002),x95003)),x95004))+~P1(f324(f324(f326(f927(x95001,x95001)),f324(f324(f252(x95001,x95001),x95005),x95003)),x95004)) % 194.45/194.28 [9539]E(x95391,x95392)+~P1(f324(f324(f326(f927(x95393,x95393)),f324(f324(f252(x95393,x95393),x95391),x95392)),f304(x95393,x95395)))+P1(f324(f324(f326(x95393),x95391),x95394))+~P1(f324(f324(f234(f928(f927(x95393,x95393),a916)),x95395),f324(f324(f254(x95393,x95393),x95394),f324(f18(f928(x95393,a916),x95393),x95394)))) % 194.45/194.28 [9557]P1(f324(x95571,x95572))+~P1(f324(x95571,f710(x95571,x95574,x95575,x95573)))+P1(f324(f324(f326(x95573),f721(x95571,x95574,x95575,x95573)),x95574))+~P1(f324(f324(f326(x95573),x95572),f324(f324(f112(f928(x95573,a916)),x95575),x95574))) % 194.45/194.28 [9558]P1(f324(x95581,x95582))+~P1(f324(x95581,f721(x95581,x95584,x95585,x95583)))+P1(f324(f324(f326(x95583),f710(x95581,x95584,x95585,x95583)),x95585))+~P1(f324(f324(f326(x95583),x95582),f324(f324(f112(f928(x95583,a916)),x95585),x95584))) % 194.45/194.28 [9625]P1(f324(x96251,x96252))+P1(f324(f324(f326(x96253),f721(x96251,x96254,x96255,x96253)),x96254))+P1(f324(f324(f326(x96253),f710(x96251,x96254,x96255,x96253)),x96255))+~P1(f324(f324(f326(x96253),x96252),f324(f324(f112(f928(x96253,a916)),x96255),x96254))) % 194.45/194.28 [9627]~P1(f324(x96272,x96275))+P1(f324(f324(f326(x96271),f744(x96272,x96273,x96274,x96271)),x96273))+P1(f324(f324(f326(x96271),f729(x96272,x96273,x96274,x96271)),x96274))+~P1(f324(f324(f326(x96271),x96275),f324(f324(f112(f928(x96271,a916)),x96274),x96273))) % 194.45/194.28 [9777]~P5(x97771,x97775,x97774)+~P1(f324(f324(f326(x97771),x97773),x97775))+P1(f324(f324(f326(f927(x97771,x97771)),f324(f324(f252(x97771,x97771),x97772),x97773)),x97774))+~P1(f324(f324(f234(f928(x97771,a916)),f324(f283(x97771,x97771,x97774),f324(f324(f306(x97771),x97773),f189(f928(x97771,a916))))),f324(f283(x97771,x97771,x97774),f324(f324(f306(x97771),x97772),f189(f928(x97771,a916)))))) % 194.45/194.28 [9906]~P2(x99065)+~P112(x99065)+P1(f324(f324(f326(x99061),f428(x99062,x99063,x99064,x99061,x99065)),x99064))+~P1(f324(f324(f235(x99065),f324(f324(f39(x99061,x99065),x99064),x99063)),x99062)) % 194.45/194.28 [9939]~P94(x99395)+~P89(x99395)+P1(f324(f324(f326(x99391),f725(x99392,x99393,x99394,x99391,x99395)),f324(f172(x99391),x99394)))+P1(f324(f324(f234(x99395),f324(f165(x99395),f324(f324(f154(x99391,x99395),x99393),x99394))),f324(f165(x99395),f324(f324(f154(x99391,x99395),x99392),x99394)))) % 194.45/194.28 [10049]~P2(x100491)+~P112(x100491)+P1(f324(f324(f235(x100491),f324(x100492,f428(x100493,x100492,x100494,x100495,x100491))),x100493))+~P1(f324(f324(f235(x100491),f324(f324(f39(x100495,x100491),x100494),x100492)),x100493)) % 194.45/194.28 [10179]~P94(x101791)+~P89(x101791)+~P1(f324(f324(f234(x101791),f324(x101793,f725(x101795,x101793,x101794,x101792,x101791))),f324(x101795,f725(x101795,x101793,x101794,x101792,x101791))))+P1(f324(f324(f234(x101791),f324(f165(x101791),f324(f324(f154(x101792,x101791),x101793),x101794))),f324(f165(x101791),f324(f324(f154(x101792,x101791),x101795),x101794)))) % 194.45/194.28 [8829]~P77(x88291)+~P1(f324(f61(x88294),x88295))+~P1(f324(f324(f326(x88294),x88293),x88295))+E(f324(f324(f79(x88291),f324(x88292,x88293)),f324(f324(f8(x88294,x88291),x88292),f324(f324(f3(f928(x88294,a916)),x88295),f324(f324(f306(x88294),x88293),f189(f928(x88294,a916)))))),f324(f324(f8(x88294,x88291),x88292),x88295)) % 194.45/194.28 [8830]~P81(x88301)+~P1(f324(f61(x88304),x88305))+~P1(f324(f324(f326(x88304),x88303),x88305))+E(f324(f324(f80(x88301),f324(x88302,x88303)),f324(f324(f11(x88304,x88301),x88302),f324(f324(f3(f928(x88304,a916)),x88305),f324(f324(f306(x88304),x88303),f189(f928(x88304,a916)))))),f324(f324(f11(x88304,x88301),x88302),x88305)) % 194.45/194.28 [8889]~P16(x88891,x88894,x88895)+~P1(f324(f61(x88891),x88892))+E(f324(f324(f3(f928(x88891,a916)),x88892),f324(f324(f306(x88891),x88893),f189(f928(x88891,a916)))),f189(f928(x88891,a916)))+E(f324(f324(x88894,x88893),f324(x88895,f324(f324(f3(f928(x88891,a916)),x88892),f324(f324(f306(x88891),x88893),f189(f928(x88891,a916)))))),f324(x88895,f324(f324(f306(x88891),x88893),x88892))) % 194.45/194.28 [9271]~P81(x92711)+~P1(f324(f61(x92712),x92715))+~P1(f324(f61(x92712),x92714))+E(f324(f324(f80(x92711),f324(f324(f11(x92712,x92711),x92713),f324(f324(f112(f928(x92712,a916)),x92714),x92715))),f324(f324(f11(x92712,x92711),x92713),f324(f324(f103(f928(x92712,a916)),x92714),x92715))),f324(f324(f80(x92711),f324(f324(f11(x92712,x92711),x92713),x92714)),f324(f324(f11(x92712,x92711),x92713),x92715))) % 194.45/194.28 [9272]~P77(x92721)+~P1(f324(f61(x92722),x92725))+~P1(f324(f61(x92722),x92724))+E(f324(f324(f79(x92721),f324(f324(f8(x92722,x92721),x92723),f324(f324(f112(f928(x92722,a916)),x92724),x92725))),f324(f324(f8(x92722,x92721),x92723),f324(f324(f103(f928(x92722,a916)),x92724),x92725))),f324(f324(f79(x92721),f324(f324(f8(x92722,x92721),x92723),x92724)),f324(f324(f8(x92722,x92721),x92723),x92725))) % 194.45/194.28 [9422]~P65(x94221)+~P1(f324(f61(x94222),x94225))+~P1(f324(f61(x94222),x94224))+E(f324(f324(f3(x94221),f324(f324(f79(x94221),f324(f324(f8(x94222,x94221),x94223),x94224)),f324(f324(f8(x94222,x94221),x94223),x94225))),f324(f324(f8(x94222,x94221),x94223),f324(f324(f103(f928(x94222,a916)),x94224),x94225))),f324(f324(f8(x94222,x94221),x94223),f324(f324(f112(f928(x94222,a916)),x94224),x94225))) % 194.45/194.28 [9638]~P22(x96381,x96382,x96383,x96385)+~P22(x96381,x96382,x96383,x96384)+P22(x96381,x96382,x96383,f324(f324(f112(f928(x96381,a916)),x96384),x96385))+~E(f324(f324(f103(f928(x96382,a916)),f324(f307(x96381,x96382,x96383),f324(f324(f3(f928(x96381,a916)),x96384),x96385))),f324(f307(x96381,x96382,x96383),f324(f324(f3(f928(x96381,a916)),x96385),x96384))),f189(f928(x96382,a916))) % 194.45/194.28 [9752]E(x97521,f2(a1))+~P1(f324(f324(f235(a1),f2(a1)),x97523))+~P1(f324(f49(x97522,x97521),f324(f324(f252(a1,a1),x97524),x97525)))+P1(f324(f49(x97522,f324(f324(f80(a1),x97521),x97523)),f324(f324(f252(a1,a1),f324(f324(f36(a1),x97524),x97523)),f324(f324(f79(a1),f324(f324(f80(a1),x97521),f45(a1,x97524,x97523))),x97525)))) % 194.45/194.28 [9760]~P1(f324(f324(f235(a920),f2(a920)),x97603))+~P1(f324(f324(f235(a920),f2(a920)),x97602))+~P1(f324(f48(x97601,x97602),f324(f324(f252(a920,a920),x97604),x97605)))+P1(f324(f48(x97601,f324(f324(f80(a920),x97602),x97603)),f324(f324(f252(a920,a920),f324(f324(f36(a920),x97604),x97603)),f324(f324(f79(a920),f324(f324(f80(a920),x97602),f45(a920,x97604,x97603))),x97605)))) % 194.45/194.28 [9810]~P81(x98101)+~P1(f324(f61(x98102),x98105))+~P1(f324(f61(x98102),x98104))+E(f324(f324(f80(x98101),f324(f324(f324(f65(x98101,x98102,f80(x98101)),x98103),f77(x98101)),f324(f324(f112(f928(x98102,a916)),x98104),x98105))),f324(f324(f324(f65(x98101,x98102,f80(x98101)),x98103),f77(x98101)),f324(f324(f103(f928(x98102,a916)),x98104),x98105))),f324(f324(f80(x98101),f324(f324(f324(f65(x98101,x98102,f80(x98101)),x98103),f77(x98101)),x98104)),f324(f324(f324(f65(x98101,x98102,f80(x98101)),x98103),f77(x98101)),x98105))) % 194.45/194.28 [9812]~E(f324(f324(f175(x98121),x98125),x98122),f324(f324(f175(x98121),x98125),x98123))+P1(f324(f324(f326(f927(f921(x98121),f921(x98121))),f324(f324(f252(f921(x98121),f921(x98121)),x98122),x98123)),f147(x98121,x98124)))+~P1(f324(f324(f235(a920),x98125),f324(f324(f188(a920),f324(f190(f921(x98121)),x98122)),f324(f190(f921(x98121)),x98123))))+~P1(f324(f324(f326(f927(x98121,x98121)),f324(f324(f252(x98121,x98121),f324(f324(f164(x98121),x98122),x98125)),f324(f324(f164(x98121),x98123),x98125))),x98124)) % 194.45/194.28 [9928]~P114(x99285)+~P94(x99285)+P1(f324(f324(f326(x99281),f392(x99282,x99283,x99284,x99281,x99285)),x99284))+P1(f324(f324(f234(x99285),f324(f324(f8(x99281,x99285),x99283),x99284)),f324(f324(f80(x99285),f324(f102(x99285),f324(f35(x99281),x99284))),x99282))) % 194.45/194.28 [10108]~P114(x101081)+~P94(x101081)+~P1(f324(f324(f234(x101081),f324(x101083,f392(x101085,x101083,x101084,x101082,x101081))),x101085))+P1(f324(f324(f234(x101081),f324(f324(f8(x101082,x101081),x101083),x101084)),f324(f324(f80(x101081),f324(f102(x101081),f324(f35(x101082),x101084))),x101085))) % 194.45/194.28 [8858]E(f324(f324(f134(x88581),x88582),x88583),f324(f324(f134(x88581),x88584),x88585))+~E(f324(f324(f175(x88581),f324(f190(f921(x88581)),x88582)),x88584),x88582)+~E(f324(f324(f134(x88581),f324(f324(f138(x88581),f324(f190(f921(x88581)),x88582)),x88584)),x88585),x88583)+P1(f324(f324(f234(a920),f324(f190(f921(x88581)),x88584)),f324(f190(f921(x88581)),x88582))) % 194.45/194.28 [8988]E(f324(f324(f134(x89881),x89882),x89883),f324(f324(f134(x89881),x89884),x89885))+~E(f324(f324(f175(x89881),f324(f190(f921(x89881)),x89882)),x89884),x89882)+~E(x89883,f324(f324(f134(x89881),f324(f324(f138(x89881),f324(f190(f921(x89881)),x89882)),x89884)),x89885))+~P1(f324(f324(f234(a920),f324(f190(f921(x89881)),x89882)),f324(f190(f921(x89881)),x89884))) % 194.45/194.28 [10240]~P1(f324(x102405,x102404))+~P1(f324(f61(x102402),f324(f262(x102402),x102405)))+P1(f324(f61(x102401),f324(f262(x102401),f324(f324(f9(x102401,x102402,a916),x102403),x102404))))+~P1(f324(f61(x102401),f324(f262(x102401),f324(f324(f10(f928(x102402,a916),a916,x102401),f86(x102402)),f324(f324(f10(f928(x102402,a916),f928(x102402,a916),x102401),f324(f20(x102402,a916,a916),f324(f324(f10(a916,f928(a916,a916),x102402),a322),x102405))),x102403))))) % 194.45/194.28 [10311]~P1(f324(f61(x103112),x103115))+~P1(f324(f324(f326(x103112),x103114),x103115))+P1(f324(f61(x103111),f324(f262(x103111),f324(f324(f9(x103111,x103112,a916),x103113),x103114))))+~P1(f324(f61(x103111),f324(f262(x103111),f324(f324(f10(f928(x103112,a916),a916,x103111),f86(x103112)),f324(f324(f10(f928(x103112,a916),f928(x103112,a916),x103111),f324(f20(x103112,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103112),a322),f324(f324(f9(x103112,f928(x103112,a916),a916),f326(x103112)),x103115)))),x103113))))) % 194.45/194.28 [8127]~P40(x81272,x81273,x81274,x81276)+~P40(f29(x81271,x81272),x81276,x81274,x81275)+P40(f29(x81271,x81272),x81273,x81274,x81275)+~P1(f324(x81271,x81273)) % 194.45/194.28 [8643]~P17(x86435,x86431,x86436,x86432)+E(f324(f72(x86431,x86431,x86431,f324(x86432,x86433)),f324(x86432,x86434)),f324(f72(x86431,x86431,x86431,f324(x86432,x86434)),f324(x86432,x86433)))+~P1(f324(f61(x86435),x86434))+~P1(f324(f61(x86435),x86433)) % 194.45/194.28 [8031]~P22(x80311,x80312,x80314,x80313)+~E(f324(x80314,x80316),x80315)+E(f324(f76(x80311,x80312,x80313,x80314),x80315),x80316)+~P1(f324(f324(f326(x80311),x80316),x80313)) % 194.45/194.28 [8032]~P22(x80321,x80322,x80324,x80323)+~E(f324(x80324,x80326),x80325)+E(f324(f91(x80321,x80322,x80323,x80324),x80325),x80326)+~P1(f324(f324(f326(x80321),x80326),x80323)) % 194.45/194.28 [8232]~P18(x82326,x82321,x82324,x82322)+E(f324(f72(x82321,x82321,x82321,f324(x82322,x82323)),f324(x82324,x82325)),f324(x82322,x82323))+~P1(f324(f61(x82326),x82323))+~P1(f324(f324(f326(x82326),x82325),x82323)) % 194.45/194.28 [9375]E(x93751,x93752)+~E(f324(f91(x93753,x93754,x93755,x93756),x93751),f324(f91(x93753,x93754,x93755,x93756),x93752))+~P1(f324(f324(f326(x93754),x93752),f324(f307(x93753,x93754,x93756),x93755)))+~P1(f324(f324(f326(x93754),x93751),f324(f307(x93753,x93754,x93756),x93755))) % 194.45/194.28 [9473]~P17(x94733,x94731,x94736,x94732)+E(f324(f72(x94731,x94731,x94731,f324(x94732,f324(f324(f3(f928(x94733,a916)),x94734),f324(f324(f306(x94733),x94735),f189(f928(x94733,a916)))))),f324(x94736,x94735)),f324(x94732,x94734))+~P1(f324(f61(x94733),x94734))+~P1(f324(f324(f326(x94733),x94735),x94734)) % 194.45/194.28 [7103]~P68(x71031)+~E(f45(x71031,x71033,x71034),f45(x71031,x71036,x71034))+~E(f45(x71031,x71032,x71034),f45(x71031,x71035,x71034))+E(f45(x71031,f324(f324(f3(x71031),x71032),x71033),x71034),f45(x71031,f324(f324(f3(x71031),x71035),x71036),x71034)) % 194.45/194.28 [7104]~P67(x71041)+~E(f45(x71041,x71043,x71044),f45(x71041,x71046,x71044))+~E(f45(x71041,x71042,x71044),f45(x71041,x71045,x71044))+E(f45(x71041,f324(f324(f80(x71041),x71042),x71043),x71044),f45(x71041,f324(f324(f80(x71041),x71045),x71046),x71044)) % 194.45/194.28 [7105]~P67(x71051)+~E(f45(x71051,x71053,x71054),f45(x71051,x71056,x71054))+~E(f45(x71051,x71052,x71054),f45(x71051,x71055,x71054))+E(f45(x71051,f324(f324(f79(x71051),x71052),x71053),x71054),f45(x71051,f324(f324(f79(x71051),x71055),x71056),x71054)) % 194.45/194.28 [7921]~P14(x79211,x79212,x79213)+~P1(f324(f61(x79211),x79216))+E(f324(f324(f64(x79211,x79212,x79213),x79214),f324(f324(f306(x79211),x79215),x79216)),f324(f324(f64(x79211,x79212,x79213),f324(f324(x79213,x79215),x79214)),x79216))+P1(f324(f324(f326(x79211),x79215),x79216)) % 194.45/194.28 [7990]~P2(x79901)+P1(f324(f324(f234(x79901),x79902),f324(x79903,x79904)))+~P1(f324(f324(f326(x79905),x79904),x79906))+~P1(f324(f324(f234(x79901),x79902),f324(f324(f39(x79905,x79901),x79906),x79903))) % 194.45/194.28 [8153]~P14(x81531,x81532,x81533)+~P1(f324(f61(x81531),x81536))+E(f324(f324(f64(x81531,x81532,x81533),x81534),f324(f324(f306(x81531),x81535),x81536)),f324(f324(x81533,x81535),f324(f324(f64(x81531,x81532,x81533),x81534),x81536)))+P1(f324(f324(f326(x81531),x81535),x81536)) % 194.45/194.28 [8250]~P112(x82503)+~P1(f324(x82502,x82505))+~P10(x82503,f324(f324(f154(x82501,x82503),x82504),x82506))+E(f324(f136(x82501,x82502),f324(f324(f148(x82501,x82503,x82504),x82505),x82506)),f324(f324(f148(x82501,x82503,x82504),x82505),f324(f136(x82501,x82502),x82506))) % 194.45/194.28 [8272]E(x82721,x82722)+E(x82723,f2(a1))+~P1(f324(f49(x82724,x82723),f324(f324(f252(a1,a1),x82725),x82722)))+~P1(f324(f49(x82724,x82723),f324(f324(f252(a1,a1),x82726),x82721))) % 194.45/194.28 [8273]E(x82731,x82732)+E(x82733,f2(a1))+~P1(f324(f49(x82734,x82733),f324(f324(f252(a1,a1),x82732),x82735)))+~P1(f324(f49(x82734,x82733),f324(f324(f252(a1,a1),x82731),x82736))) % 194.45/194.28 [8292]~P17(x82922,x82925,x82926,x82921)+~P1(f324(f61(x82922),x82924))+E(f324(x82921,f324(f324(f306(x82922),x82923),x82924)),f324(f72(x82925,x82925,x82925,f324(x82921,x82924)),f324(x82926,x82923)))+P1(f324(f324(f326(x82922),x82923),x82924)) % 194.45/194.28 [8515]~P18(x85155,x85151,x85156,x85152)+E(f324(f72(x85151,x85151,x85151,f324(x85152,x85153)),f324(x85152,x85154)),f324(x85152,x85153))+~P1(f324(f61(x85155),x85153))+~P1(f324(f324(f234(f928(x85155,a916)),x85154),x85153)) % 194.45/194.28 [9682]~P22(x96821,x96822,x96824,x96823)+~P1(f324(f324(f326(x96822),x96825),f324(f307(x96821,x96822,x96824),x96823)))+P1(f324(f324(f326(x96821),f324(f76(x96821,x96822,x96823,x96824),x96825)),x96826))+~P1(f324(f324(f234(f928(x96821,a916)),x96823),x96826)) % 194.45/194.28 [10060]~P77(x100602)+~E(f623(x100601,x100603,x100605,x100606,x100604,x100602),f624(x100601,x100603,x100605,x100606,x100604,x100602))+~P1(f324(f61(x100604),x100606))+E(f324(f324(f8(x100601,x100602),x100603),f324(f307(x100604,x100601,x100605),x100606)),f324(f324(f8(x100604,x100602),f324(f72(x100601,x100602,x100604,x100603),x100605)),x100606)) % 194.45/194.28 [10090]~P77(x100906)+E(f324(x100901,f623(x100902,x100903,x100901,x100904,x100905,x100906)),f324(x100901,f624(x100902,x100903,x100901,x100904,x100905,x100906)))+E(f324(f324(f8(x100902,x100906),x100903),f324(f307(x100905,x100902,x100901),x100904)),f324(f324(f8(x100905,x100906),f324(f72(x100902,x100906,x100905,x100903),x100901)),x100904))+~P1(f324(f61(x100905),x100904)) % 194.45/194.28 [10129]~P77(x101292)+~E(f324(x101293,f324(x101295,f624(x101291,x101293,x101295,x101296,x101294,x101292))),f2(x101292))+~P1(f324(f61(x101294),x101296))+E(f324(f324(f8(x101291,x101292),x101293),f324(f307(x101294,x101291,x101295),x101296)),f324(f324(f8(x101294,x101292),f324(f72(x101291,x101292,x101294,x101293),x101295)),x101296)) % 194.45/194.28 [10187]~P77(x101872)+~P1(f324(f61(x101874),x101876))+E(f324(f324(f8(x101871,x101872),x101873),f324(f307(x101874,x101871,x101875),x101876)),f324(f324(f8(x101874,x101872),f324(f72(x101871,x101872,x101874,x101873),x101875)),x101876))+P1(f324(f324(f326(x101874),f624(x101871,x101873,x101875,x101876,x101874,x101872)),x101876)) % 194.45/194.28 [10188]~P77(x101882)+~P1(f324(f61(x101884),x101886))+E(f324(f324(f8(x101881,x101882),x101883),f324(f307(x101884,x101881,x101885),x101886)),f324(f324(f8(x101884,x101882),f324(f72(x101881,x101882,x101884,x101883),x101885)),x101886))+P1(f324(f324(f326(x101884),f623(x101881,x101883,x101885,x101886,x101884,x101882)),x101886)) % 194.45/194.28 [10265]~P38(f928(f927(x102654,x102655),a916),f928(f927(x102654,x102655),a916),x102656)+~P1(f324(f324(x102651,f592(x102651,x102656,x102653,x102652,x102655,x102654)),f593(x102651,x102656,x102653,x102652,x102655,x102654)))+P1(f324(f324(x102651,x102652),x102653))+~P1(f324(f324(f326(f927(x102654,x102655)),f324(f324(f252(x102654,x102655),x102652),x102653)),f97(f928(f927(x102654,x102655),a916),x102656))) % 194.45/194.28 [10310]~P81(x103101)+~P1(f324(f61(x103102),x103106))+E(f324(f324(f324(f65(x103101,x103102,f80(x103101)),f324(f324(f20(x103102,f928(x103103,a916),x103101),f324(f324(f9(x103102,x103101,f928(f928(x103103,a916),x103101)),f324(f324(f10(f928(x103103,x103101),f928(x103101,f928(f928(x103103,a916),x103101)),x103102),f65(x103101,x103103,f80(x103101))),x103104)),f77(x103101))),x103105)),f77(x103101)),x103106),f324(f324(f324(f65(x103101,f927(x103102,x103103),f80(x103101)),f324(f257(x103102,x103103,x103101),x103104)),f77(x103101)),f324(f324(f254(x103102,x103103),x103106),x103105)))+P1(f324(f324(f326(x103102),f574(x103104,x103105,x103103,x103106,x103102,x103101)),x103106)) % 194.45/194.28 [10331]~P81(x103311)+~P1(f324(f61(x103312),x103316))+E(f324(f324(f324(f65(x103311,x103312,f80(x103311)),f324(f324(f20(x103312,f928(x103313,a916),x103311),f324(f324(f9(x103312,x103311,f928(f928(x103313,a916),x103311)),f324(f324(f10(f928(x103313,x103311),f928(x103311,f928(f928(x103313,a916),x103311)),x103312),f65(x103311,x103313,f80(x103311))),x103314)),f77(x103311))),x103315)),f77(x103311)),x103316),f324(f324(f324(f65(x103311,f927(x103312,x103313),f80(x103311)),f324(f257(x103312,x103313,x103311),x103314)),f77(x103311)),f324(f324(f254(x103312,x103313),x103316),x103315)))+~P1(f324(f61(x103313),f324(x103315,f574(x103314,x103315,x103313,x103316,x103312,x103311)))) % 194.45/194.28 [8425]~P18(x84252,x84255,x84256,x84251)+~P1(f324(f61(x84252),x84254))+~P1(f324(f61(x84252),x84253))+E(f324(x84251,f324(f324(f112(f928(x84252,a916)),x84253),x84254)),f324(f72(x84255,x84255,x84255,f324(x84251,x84253)),f324(x84251,x84254))) % 194.45/194.28 [8644]~P2(x86441)+P1(f324(f324(f234(x86441),f324(x86442,x86443)),x86444))+~P1(f324(f324(f326(x86445),x86443),x86446))+~P1(f324(f324(f234(x86441),f324(f324(f40(x86445,x86441),x86446),x86442)),x86444)) % 194.45/194.28 [9077]~P22(x90772,x90771,x90773,x90776)+E(f324(f324(f3(f928(x90771,a916)),f324(f307(x90772,x90771,x90773),x90774)),f324(f307(x90772,x90771,x90773),x90775)),f324(f307(x90772,x90771,x90773),f324(f324(f3(f928(x90772,a916)),x90774),x90775)))+~P1(f324(f324(f234(f928(x90772,a916)),x90775),x90776))+~P1(f324(f324(f234(f928(x90772,a916)),x90774),x90776)) % 194.45/194.28 [9078]~P22(x90782,x90781,x90783,x90786)+E(f324(f324(f103(f928(x90781,a916)),f324(f307(x90782,x90781,x90783),x90784)),f324(f307(x90782,x90781,x90783),x90785)),f324(f307(x90782,x90781,x90783),f324(f324(f103(f928(x90782,a916)),x90784),x90785)))+~P1(f324(f324(f234(f928(x90782,a916)),x90785),x90786))+~P1(f324(f324(f234(f928(x90782,a916)),x90784),x90786)) % 194.45/194.28 [9349]E(x93491,x93492)+~P55(x93493,x93494,x93495)+~P1(f324(f324(f326(f927(x93493,x93494)),f324(f324(f252(x93493,x93494),x93496),x93492)),x93495))+~P1(f324(f324(f326(f927(x93493,x93494)),f324(f324(f252(x93493,x93494),x93496),x93491)),x93495)) % 194.45/194.28 [10125]~P75(x101251)+~E(f324(x101253,f370(x101254,x101256,x101253,x101255,x101252,x101251)),f324(x101256,f370(x101254,x101256,x101253,x101255,x101252,x101251)))+~P1(f324(f61(x101252),x101255))+E(f324(f324(f324(f65(x101251,x101252,f80(x101251)),x101253),x101254),x101255),f324(f324(f324(f65(x101251,x101252,f80(x101251)),x101256),x101254),x101255)) % 194.45/194.28 [10185]~P75(x101851)+~P1(f324(f61(x101852),x101855))+E(f324(f324(f324(f65(x101851,x101852,f80(x101851)),x101853),x101854),x101855),f324(f324(f324(f65(x101851,x101852,f80(x101851)),x101856),x101854),x101855))+P1(f324(f324(f326(x101852),f370(x101854,x101853,x101856,x101855,x101852,x101851)),x101855)) % 194.45/194.28 [8872]~P75(x88721)+~P1(f324(f61(x88722),x88726))+P1(f324(f324(f326(x88722),x88725),x88726))+E(f324(f324(f324(f65(x88721,x88722,f80(x88721)),x88723),x88724),f324(f324(f306(x88722),x88725),x88726)),f324(f324(f80(x88721),f324(x88723,x88725)),f324(f324(f324(f65(x88721,x88722,f80(x88721)),x88723),x88724),x88726))) % 194.45/194.28 [8925]~P5(x89251,x89256,x89253)+~P8(x89251,f928(x89252,a916),x89253,x89255)+~P1(f324(f324(f326(x89251),x89254),x89256))+E(f324(f324(f40(x89251,f928(x89252,a916)),f324(f283(x89251,x89251,x89253),f324(f324(f306(x89251),x89254),f189(f928(x89251,a916))))),x89255),f324(x89255,x89254)) % 194.45/194.28 [9054]~P14(x90543,x90544,x90541)+~P1(f324(f61(x90543),x90546))+~P1(f324(f324(f326(x90543),x90542),x90546))+E(f324(f324(x90541,x90542),f324(f324(f64(x90543,x90544,x90541),x90545),f324(f324(f3(f928(x90543,a916)),x90546),f324(f324(f306(x90543),x90542),f189(f928(x90543,a916)))))),f324(f324(f64(x90543,x90544,x90541),x90545),x90546)) % 194.45/194.28 [9361]~P17(x93613,x93611,x93616,x93612)+~P1(f324(f61(x93613),x93615))+~P1(f324(f61(x93613),x93614))+E(f324(f72(x93611,x93611,x93611,f324(x93612,f324(f324(f112(f928(x93613,a916)),x93614),x93615))),f324(x93612,f324(f324(f103(f928(x93613,a916)),x93614),x93615))),f324(f72(x93611,x93611,x93611,f324(x93612,x93614)),f324(x93612,x93615))) % 194.45/194.28 [10339]~P38(f928(f927(x103394,x103395),a916),f928(f927(x103394,x103395),a916),x103396)+P1(f324(f324(x103391,x103392),x103393))+~P1(f324(f324(f326(f927(x103394,x103395)),f324(f324(f252(x103394,x103395),x103392),x103393)),f97(f928(f927(x103394,x103395),a916),x103396)))+P1(f324(f324(f326(f927(x103394,x103395)),f324(f324(f252(x103394,x103395),f592(x103391,x103396,x103393,x103392,x103395,x103394)),f593(x103391,x103396,x103393,x103392,x103395,x103394))),f324(x103396,f324(f324(f103(f928(f927(x103394,x103395),a916)),f97(f928(f927(x103394,x103395),a916),x103396)),f324(f262(f927(x103394,x103395)),f324(f257(x103394,x103395,a916),x103391)))))) % 194.45/194.28 [9705]~E(x97053,f324(f324(f159(x97051,x97052),x97055),x97056))+P1(f324(f324(f326(f927(f921(x97051),f921(x97051))),f324(f324(f252(f921(x97051),f921(x97051)),x97052),x97053)),f157(x97051,x97054)))+~P1(f324(f324(f235(a920),x97055),f324(f190(f921(x97051)),x97052)))+~P1(f324(f324(f326(f927(x97051,x97051)),f324(f324(f252(x97051,x97051),f324(f324(f164(x97051),x97052),x97055)),x97056)),x97054)) % 194.45/194.28 [10196]~P77(x101962)+~P1(f324(f61(x101961),x101966))+P1(f324(f324(f326(x101961),f576(x101964,x101965,x101963,x101966,x101961,x101962)),x101966))+E(f324(f324(f8(x101961,x101962),f324(f324(f20(x101961,f928(x101963,a916),x101962),f324(f324(f10(f928(x101963,x101962),f928(f928(x101963,a916),x101962),x101961),f8(x101963,x101962)),x101964)),x101965)),x101966),f324(f324(f8(f927(x101961,x101963),x101962),f324(f257(x101961,x101963,x101962),x101964)),f324(f324(f254(x101961,x101963),x101966),x101965))) % 194.45/194.28 [10197]~P81(x101972)+~P1(f324(f61(x101971),x101976))+P1(f324(f324(f326(x101971),f573(x101974,x101975,x101973,x101976,x101971,x101972)),x101976))+E(f324(f324(f11(x101971,x101972),f324(f324(f20(x101971,f928(x101973,a916),x101972),f324(f324(f10(f928(x101973,x101972),f928(f928(x101973,a916),x101972),x101971),f11(x101973,x101972)),x101974)),x101975)),x101976),f324(f324(f11(f927(x101971,x101973),x101972),f324(f257(x101971,x101973,x101972),x101974)),f324(f324(f254(x101971,x101973),x101976),x101975))) % 194.45/194.28 [10238]~P77(x102382)+~P1(f324(f61(x102381),x102386))+~P1(f324(f61(x102383),f324(x102385,f576(x102384,x102385,x102383,x102386,x102381,x102382))))+E(f324(f324(f8(x102381,x102382),f324(f324(f20(x102381,f928(x102383,a916),x102382),f324(f324(f10(f928(x102383,x102382),f928(f928(x102383,a916),x102382),x102381),f8(x102383,x102382)),x102384)),x102385)),x102386),f324(f324(f8(f927(x102381,x102383),x102382),f324(f257(x102381,x102383,x102382),x102384)),f324(f324(f254(x102381,x102383),x102386),x102385))) % 194.45/194.28 [10239]~P81(x102392)+~P1(f324(f61(x102391),x102396))+~P1(f324(f61(x102393),f324(x102395,f573(x102394,x102395,x102393,x102396,x102391,x102392))))+E(f324(f324(f11(x102391,x102392),f324(f324(f20(x102391,f928(x102393,a916),x102392),f324(f324(f10(f928(x102393,x102392),f928(f928(x102393,a916),x102392),x102391),f11(x102393,x102392)),x102394)),x102395)),x102396),f324(f324(f11(f927(x102391,x102393),x102392),f324(f257(x102391,x102393,x102392),x102394)),f324(f324(f254(x102391,x102393),x102396),x102395))) % 194.45/194.28 [10219]~P81(x102192)+~P1(f324(f61(x102191),x102196))+P1(f324(f324(f326(x102191),x102193),x102196))+E(f324(f324(f11(x102191,x102192),f324(f324(f9(x102191,x102192,x102192),f324(f324(f20(x102191,x102192,f928(x102192,x102192)),f324(f324(f10(a916,f928(x102192,f928(x102192,x102192)),x102191),f96(x102192)),f324(f324(f9(x102191,x102191,a916),a321),x102193))),x102194)),x102195)),x102196),f324(f324(f244(x102192),x102195),f324(f35(x102191),x102196))) % 194.45/194.28 [10224]~P81(x102242)+~P1(f324(f61(x102241),x102246))+~P1(f324(f324(f326(x102241),x102243),x102246))+E(f324(f324(f11(x102241,x102242),f324(f324(f9(x102241,x102242,x102242),f324(f324(f20(x102241,x102242,f928(x102242,x102242)),f324(f324(f10(a916,f928(x102242,f928(x102242,x102242)),x102241),f96(x102242)),f324(f324(f9(x102241,x102241,a916),a321),x102243))),x102244)),x102245)),x102246),f324(f324(f80(x102242),f324(x102244,x102243)),f324(f324(f244(x102242),x102245),f324(f324(f3(a920),f324(f35(x102241),x102246)),f77(a920))))) % 194.45/194.28 [10302]~P1(f324(f61(x103021),x103025))+~P1(f324(f61(x103022),x103023))+P1(f324(f324(f326(x103022),f585(x103026,x103024,x103023,x103022,x103025,x103021)),x103023))+E(f324(f324(f8(x103021,a920),f324(f324(f10(f928(x103022,a916),a920,x103021),f35(x103022)),f324(f324(f10(f928(x103022,a916),f928(x103022,a916),x103021),f262(x103022)),f324(f324(f10(f928(x103022,a916),f928(x103022,a916),x103021),f324(f20(x103022,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103022),a322),f324(f324(f9(x103022,f928(x103022,a916),a916),f326(x103022)),x103023)))),x103024)))),x103025),f324(f324(f80(a920),x103026),f324(f35(x103022),x103023))) % 194.45/194.28 [10303]~P1(f324(f61(x103031),x103035))+~P1(f324(f61(x103032),x103033))+P1(f324(f324(f326(x103032),f594(x103036,x103034,x103033,x103032,x103035,x103031)),x103033))+E(f324(f324(f8(x103031,a920),f324(f324(f10(f928(x103032,a916),a920,x103031),f35(x103032)),f324(f324(f10(f928(x103032,a916),f928(x103032,a916),x103031),f262(x103032)),f324(f324(f10(f928(x103032,a916),f928(x103032,a916),x103031),f324(f20(x103032,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103032),a322),f324(f324(f9(x103032,f928(x103032,a916),a916),f326(x103032)),x103033)))),x103034)))),x103035),f324(f324(f8(x103032,a920),x103036),x103033)) % 194.45/194.28 [10343]~P1(f324(f61(x103432),x103433))+~P1(f324(f61(x103431),x103435))+~E(f324(f35(x103431),f324(f262(x103431),f324(f324(f20(x103431,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103431),a322),f324(f324(f9(x103431,f928(x103431,a916),a916),f326(x103431)),x103435))),f324(f324(f9(x103431,x103432,a916),x103434),f585(x103436,x103434,x103433,x103432,x103435,x103431))))),x103436)+E(f324(f324(f8(x103431,a920),f324(f324(f10(f928(x103432,a916),a920,x103431),f35(x103432)),f324(f324(f10(f928(x103432,a916),f928(x103432,a916),x103431),f262(x103432)),f324(f324(f10(f928(x103432,a916),f928(x103432,a916),x103431),f324(f20(x103432,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103432),a322),f324(f324(f9(x103432,f928(x103432,a916),a916),f326(x103432)),x103433)))),x103434)))),x103435),f324(f324(f80(a920),x103436),f324(f35(x103432),x103433))) % 194.45/194.28 [10345]~P1(f324(f61(x103452),x103453))+~P1(f324(f61(x103451),x103455))+~E(f324(f35(x103451),f324(f262(x103451),f324(f324(f20(x103451,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103451),a322),f324(f324(f9(x103451,f928(x103451,a916),a916),f326(x103451)),x103455))),f324(f324(f9(x103451,x103452,a916),x103454),f594(x103456,x103454,x103453,x103452,x103455,x103451))))),f324(x103456,f594(x103456,x103454,x103453,x103452,x103455,x103451)))+E(f324(f324(f8(x103451,a920),f324(f324(f10(f928(x103452,a916),a920,x103451),f35(x103452)),f324(f324(f10(f928(x103452,a916),f928(x103452,a916),x103451),f262(x103452)),f324(f324(f10(f928(x103452,a916),f928(x103452,a916),x103451),f324(f20(x103452,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103452),a322),f324(f324(f9(x103452,f928(x103452,a916),a916),f326(x103452)),x103453)))),x103454)))),x103455),f324(f324(f8(x103452,a920),x103456),x103453)) % 194.45/194.28 [9987]E(x99871,x99872)+~P14(x99873,x99874,x99875)+~P1(f324(f66(x99873,x99874,x99875,x99876,x99877),x99872))+~P1(f324(f66(x99873,x99874,x99875,x99876,x99877),x99871)) % 194.45/194.28 [9782]P1(f324(x97821,x97822))+~P1(f324(f324(f326(x97827),x97822),f324(x97826,x97824)))+~P1(f324(x97821,f879(x97821,x97826,x97825,x97823,x97827)))+~P1(f324(f324(f326(x97823),x97824),x97825)) % 194.45/194.28 [10210]~P14(x102107,x102106,x102101)+E(f324(f324(x102101,x102102),f375(x102102,x102103,x102104,x102105,x102101,x102106,x102107)),x102103)+~P1(f324(f66(x102107,x102106,x102101,x102105,x102104),x102103))+~P1(f324(f324(f326(x102107),x102102),x102104)) % 194.45/194.28 [10281]~P14(x102811,x102812,x102813)+~P1(f324(f66(x102811,x102812,x102813,x102814,x102815),x102817))+P1(f324(f66(x102811,x102812,x102813,x102814,f324(f324(f3(f928(x102811,a916)),x102815),f324(f324(f306(x102811),x102816),f189(f928(x102811,a916))))),f375(x102816,x102817,x102815,x102814,x102813,x102812,x102811)))+~P1(f324(f324(f326(x102811),x102816),x102815)) % 194.45/194.28 [9430]P23(x94301,x94302,x94303,x94304,x94305)+~P23(x94301,x94302,x94303,x94306,x94307)+~E(f324(f307(x94301,x94302,x94303),x94304),x94305)+~P1(f324(f324(f234(f928(x94301,a916)),x94304),x94306)) % 194.45/194.28 [9673]~P23(x96731,x96732,x96733,x96735,x96737)+~P23(x96731,x96732,x96733,x96734,x96736)+P23(x96731,x96732,x96733,f324(f324(f112(f928(x96731,a916)),x96734),x96735),f324(f324(f112(f928(x96732,a916)),x96736),x96737))+~E(f324(f324(f103(f928(x96732,a916)),x96736),x96737),f189(f928(x96732,a916))) % 194.45/194.28 [9678]~P75(x96781)+~P22(x96785,x96782,x96786,x96787)+~P1(f324(f61(x96785),x96787))+E(f324(f324(f324(f65(x96781,x96782,f80(x96781)),x96783),x96784),f324(f307(x96785,x96782,x96786),x96787)),f324(f324(f324(f65(x96781,x96785,f80(x96781)),f324(f72(x96782,x96781,x96785,x96783),x96786)),x96784),x96787)) % 194.45/194.28 [9805]~E(f324(f324(f306(x98051),x98055),x98056),f324(f324(f306(x98051),x98052),x98053))+~P1(f324(f66(x98051,x98051,x98054,x98052,x98053),x98057))+P1(f324(f324(f326(x98051),x98052),x98053))+P1(f324(f62(x98051,x98054,f324(f324(f306(x98051),x98055),x98056)),x98057)) % 194.45/194.28 [9890]P1(f324(x98901,x98902))+~P1(f324(f324(f326(x98903),x98902),f324(x98904,x98907)))+~P1(f324(f324(f326(x98906),x98907),x98905))+P1(f324(f324(f326(x98903),f879(x98901,x98904,x98905,x98906,x98903)),f324(f324(f40(x98906,f928(x98903,a916)),x98905),x98904))) % 194.45/194.28 [9907]~P22(x99072,x99071,x99075,x99074)+~P22(x99071,x99073,x99076,f324(f307(x99072,x99071,x99075),x99074))+E(f324(f324(f72(x99071,x99072,x99073,f76(x99072,x99071,x99074,x99075)),f76(x99071,x99073,f324(f307(x99072,x99071,x99075),x99074),x99076)),x99077),f324(f76(x99072,x99073,x99074,f324(f72(x99071,x99073,x99072,x99076),x99075)),x99077))+~P1(f324(f324(f326(x99073),x99077),f324(f307(x99071,x99073,x99076),f324(f307(x99072,x99071,x99075),x99074)))) % 194.45/194.28 [9908]~P22(x99082,x99081,x99085,x99084)+~P22(x99081,x99083,x99086,f324(f307(x99082,x99081,x99085),x99084))+E(f324(f324(f72(x99081,x99082,x99083,f91(x99082,x99081,x99084,x99085)),f91(x99081,x99083,f324(f307(x99082,x99081,x99085),x99084),x99086)),x99087),f324(f91(x99082,x99083,x99084,f324(f72(x99081,x99083,x99082,x99086),x99085)),x99087))+~P1(f324(f324(f326(x99083),x99087),f324(f307(x99081,x99083,x99086),f324(f307(x99082,x99081,x99085),x99084)))) % 194.45/194.28 [10211]~P14(x102117,x102116,x102111)+E(f324(f324(x102111,x102112),f376(x102113,x102114,x102112,x102115,x102111,x102116,x102117)),x102113)+P1(f324(f324(f326(x102117),x102112),x102114))+~P1(f324(f66(x102117,x102116,x102111,x102115,f324(f324(f306(x102117),x102112),x102114)),x102113)) % 194.45/194.28 [10280]~P14(x102801,x102804,x102805)+P1(f324(f66(x102801,x102804,x102805,x102806,x102803),f376(x102807,x102803,x102802,x102806,x102805,x102804,x102801)))+P1(f324(f324(f326(x102801),x102802),x102803))+~P1(f324(f66(x102801,x102804,x102805,x102806,f324(f324(f306(x102801),x102802),x102803)),x102807)) % 194.45/194.28 [9969]E(x99691,f2(a1))+~P1(f324(f49(x99693,x99691),f324(f324(f252(a1,a1),x99695),x99697)))+~P1(f324(f49(x99692,x99691),f324(f324(f252(a1,a1),x99694),x99696)))+P1(f324(f49(f324(f324(f79(a1),x99692),x99693),x99691),f324(f324(f252(a1,a1),f324(f324(f79(a1),f324(f324(f79(a1),x99694),x99695)),f324(f324(f36(a1),f324(f324(f79(a1),x99696),x99697)),x99691))),f45(a1,f324(f324(f79(a1),x99696),x99697),x99691)))) % 194.45/194.28 [9971]~P1(f324(f324(f235(a920),f2(a920)),x99713))+~P1(f324(f48(x99712,x99713),f324(f324(f252(a920,a920),x99715),x99717)))+~P1(f324(f48(x99711,x99713),f324(f324(f252(a920,a920),x99714),x99716)))+P1(f324(f48(f324(f324(f79(a920),x99711),x99712),x99713),f324(f324(f252(a920,a920),f324(f324(f79(a920),f324(f324(f79(a920),x99714),x99715)),f324(f324(f36(a920),f324(f324(f79(a920),x99716),x99717)),x99713))),f45(a920,f324(f324(f79(a920),x99716),x99717),x99713)))) % 194.45/194.28 [10342]~P77(x103422)+~P1(f324(f61(x103423),x103425))+~P1(f324(f61(x103421),x103427))+E(f324(f324(f8(x103421,x103422),f324(f324(f20(x103421,f928(x103423,a916),x103422),f324(f324(f10(f928(x103423,x103422),f928(f928(x103423,a916),x103422),x103421),f8(x103423,x103422)),x103424)),f324(f324(f10(f928(x103423,a916),f928(x103423,a916),x103421),f262(x103423)),f324(f324(f10(f928(x103423,a916),f928(x103423,a916),x103421),f324(f20(x103423,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103423),a322),f324(f324(f9(x103423,f928(x103423,a916),a916),f326(x103423)),x103425)))),x103426)))),x103427),f324(f324(f8(x103423,x103422),f324(f324(f20(x103423,f928(x103421,a916),x103422),f324(f324(f10(f928(x103421,x103422),f928(f928(x103421,a916),x103422),x103423),f8(x103421,x103422)),f324(f9(x103421,x103423,x103422),x103424))),f324(f324(f10(f928(x103421,a916),f928(x103421,a916),x103423),f262(x103421)),f324(f324(f10(f928(x103421,a916),f928(x103421,a916),x103423),f324(f20(x103421,a916,a916),f324(f324(f10(a916,f928(a916,a916),x103421),a322),f324(f324(f9(x103421,f928(x103421,a916),a916),f326(x103421)),x103427)))),f324(f9(x103421,x103423,a916),x103426))))),x103425)) % 194.45/194.28 [9841]~P20(x98417,x98416,x98411,x98418,x98412,x98414)+E(f324(f324(x98411,f324(x98412,x98413)),f324(x98414,x98415)),f324(x98414,x98415))+~P1(f324(f61(x98416),x98415))+~P1(f324(f324(f326(x98416),x98413),x98415)) % 194.45/194.28 [9845]~P9(x98456,x98451,x98452,x98458,x98453,x98454)+~P5(x98456,x98457,x98458)+P8(x98451,x98452,x98453,f324(x98454,x98455))+~P1(f324(f324(f326(x98456),x98455),x98457)) % 194.45/194.28 [7949]~P40(x79494,x79495,x79496,x79493)+~P25(x79498,x79496,f324(f324(f324(f90(x79498),x79497),x79494),x79491))+P1(f324(f324(x79491,x79492),x79493))+~P1(f324(f324(x79497,x79492),x79495)) % 194.45/194.28 [9455]~P17(x94557,x94551,x94558,x94553)+~P1(f324(f61(x94557),x94555))+~P1(f324(f61(x94557),x94554))+E(f324(f72(x94551,x94551,x94552,f324(x94553,x94554)),f324(f72(x94551,x94551,x94552,f324(x94553,x94555)),x94556)),f324(f72(x94551,x94551,x94552,f324(x94553,x94555)),f324(f72(x94551,x94551,x94552,f324(x94553,x94554)),x94556))) % 194.45/194.28 [9465]~P32(x94651,x94652,x94653,x94654,x94657)+P32(x94651,x94652,x94653,f324(f324(f159(x94651,x94654),x94655),x94656),f324(f324(f159(x94652,x94657),x94655),x94658))+~P1(f324(f324(x94653,x94656),x94658))+~P1(f324(f324(f235(a920),x94655),f324(f190(f921(x94651)),x94654))) % 194.45/194.28 [9466]~P32(x94661,x94662,x94663,x94664,x94667)+P32(x94661,x94662,x94663,f324(f324(f159(x94661,x94664),x94665),x94666),f324(f324(f159(x94662,x94667),x94665),x94668))+~P1(f324(f324(x94663,x94666),x94668))+~P1(f324(f324(f235(a920),x94665),f324(f190(f921(x94662)),x94667))) % 194.45/194.28 [9546]~P22(x95462,x95462,x95465,x95466)+~P19(x95463,x95462,x95467,x95468,x95461)+~P1(f324(f61(x95462),x95466))+E(f324(f324(x95461,f324(f72(x95462,x95463,x95462,x95464),x95465)),x95466),f324(f324(x95461,x95464),f324(f307(x95462,x95462,x95465),x95466))) % 194.45/194.28 [9806]P23(x98061,x98062,x98063,x98064,x98065)+~P23(x98062,x98066,x98067,x98065,x98068)+~P23(x98061,x98066,f324(f72(x98062,x98066,x98061,x98067),x98063),x98064,x98068)+~P1(f324(f324(f234(f928(x98062,a916)),f324(f307(x98061,x98062,x98063),x98064)),x98065)) % 194.45/194.28 [9843]~P21(x98437,x98432,x98435,x98438,x98436,x98431)+~P1(f324(f61(x98432),x98434))+E(f324(x98431,f324(f324(f306(x98432),x98433),x98434)),f324(f324(x98435,f324(x98436,x98433)),f324(x98431,x98434)))+P1(f324(f324(f326(x98432),x98433),x98434)) % 194.45/194.28 [9855]~P20(x98556,x98555,x98551,x98557,x98558,x98552)+E(f324(f324(x98551,f324(x98552,x98553)),f324(x98552,x98554)),f324(x98552,x98554))+~P1(f324(f61(x98555),x98554))+~P1(f324(f324(f234(f928(x98555,a916)),x98553),x98554)) % 194.45/194.28 [9441]P1(f324(f324(f326(f927(f921(x94411),f921(x94411))),f324(f324(f252(f921(x94411),f921(x94411)),x94412),x94413)),f157(x94411,x94414)))+~E(x94413,f324(f324(f134(x94411),x94415),f324(f324(f151(x94411),x94416),x94417)))+~E(x94412,f324(f324(f134(x94411),x94415),f324(f324(f151(x94411),x94418),x94417)))+~P1(f324(f324(f326(f927(x94411,x94411)),f324(f324(f252(x94411,x94411),x94418),x94416)),x94414)) % 194.45/194.28 [9848]~P20(x98486,x98482,x98485,x98487,x98488,x98481)+~P1(f324(f61(x98482),x98484))+~P1(f324(f61(x98482),x98483))+E(f324(x98481,f324(f324(f112(f928(x98482,a916)),x98483),x98484)),f324(f324(x98485,f324(x98481,x98483)),f324(x98481,x98484))) % 194.45/194.28 [10385]~P22(x103854,x103852,x103855,x103858)+E(f324(f324(f39(x103851,f928(x103852,a916)),x103853),f324(f324(f10(f928(x103854,a916),f928(x103852,a916),x103851),f307(x103854,x103852,x103855)),x103856)),f324(f307(x103854,x103852,x103855),f324(f324(f39(x103851,f928(x103854,a916)),x103853),x103856)))+~P1(f324(f324(f326(x103851),x103857),x103853))+P1(f324(f324(f326(x103851),f557(x103857,x103856,x103853,x103851,x103858,x103855,x103852,x103854)),x103853)) % 194.45/194.28 [10407]~P22(x104074,x104072,x104075,x104077)+E(f324(f324(f39(x104071,f928(x104072,a916)),x104073),f324(f324(f10(f928(x104074,a916),f928(x104072,a916),x104071),f307(x104074,x104072,x104075)),x104076)),f324(f307(x104074,x104072,x104075),f324(f324(f39(x104071,f928(x104074,a916)),x104073),x104076)))+~P1(f324(f324(f326(x104071),x104078),x104073))+~P1(f324(f324(f234(f928(x104074,a916)),f324(x104076,f557(x104078,x104076,x104073,x104071,x104077,x104075,x104072,x104074))),x104077)) % 194.45/194.28 [9917]~P21(x99177,x99175,x99171,x99178,x99172,x99174)+~P1(f324(f61(x99175),x99176))+~P1(f324(f324(f326(x99175),x99173),x99176))+E(f324(f324(x99171,f324(x99172,x99173)),f324(x99174,f324(f324(f3(f928(x99175,a916)),x99176),f324(f324(f306(x99175),x99173),f189(f928(x99175,a916)))))),f324(x99174,x99176)) % 194.45/194.28 [9925]~P21(x99256,x99253,x99251,x99257,x99258,x99252)+~P1(f324(f61(x99253),x99255))+~P1(f324(f61(x99253),x99254))+E(f324(f324(x99251,f324(x99252,f324(f324(f112(f928(x99253,a916)),x99254),x99255))),f324(x99252,f324(f324(f103(f928(x99253,a916)),x99254),x99255))),f324(f324(x99251,f324(x99252,x99254)),f324(x99252,x99255))) % 194.45/194.28 [10011]P42(x100111,x100112,x100113,x100114,x100115,f324(f324(x100113,x100116),x100117))+~P42(x100111,x100112,x100113,x100114,f324(f324(f3(f928(x100111,a916)),x100115),f324(f324(f306(x100111),x100118),f189(f928(x100111,a916)))),x100119)+~E(f324(f324(x100113,x100116),x100117),f324(f324(x100113,x100118),x100119))+~P1(f324(f324(f326(x100111),x100118),x100115)) % 194.45/194.28 [10418]P11(x104181,x104182,f324(f324(f306(f919(x104181)),f324(f324(f324(f90(x104181),f324(x104183,f512(x104184,x104185,x104186,x104187,x104183,x104182,x104181,x104188,x104189))),f324(x104187,f512(x104184,x104185,x104186,x104187,x104183,x104182,x104181,x104188,x104189))),f324(x104186,f512(x104184,x104185,x104186,x104187,x104183,x104182,x104181,x104188,x104189)))),f189(f928(f919(x104181),a916))))+~P1(f324(f61(x104189),x104188))+~P11(x104181,x104182,f324(f307(x104189,f919(x104181),f324(f324(f20(x104189,f928(x104181,f928(a918,a916)),f919(x104181)),f324(f324(f20(x104189,a917,f928(f928(x104181,f928(a918,a916)),f919(x104181))),f324(f324(f10(f928(x104181,f928(a918,a916)),f928(a917,f928(f928(x104181,f928(a918,a916)),f919(x104181))),x104189),f90(x104181)),x104183)),x104187)),x104186)),x104188))+P11(x104181,x104182,f324(f307(x104189,f919(x104181),f324(f324(f20(x104189,f928(x104181,f928(a918,a916)),f919(x104181)),f324(f324(f20(x104189,a917,f928(f928(x104181,f928(a918,a916)),f919(x104181))),f324(f324(f10(f928(x104181,f928(a918,a916)),f928(a917,f928(f928(x104181,f928(a918,a916)),f919(x104181))),x104189),f90(x104181)),x104185)),x104187)),x104184)),x104188)) % 194.45/194.28 [10419]~P11(x104191,x104192,f324(f324(f306(f919(x104191)),f324(f324(f324(f90(x104191),f324(x104194,f512(x104196,x104194,x104198,x104195,x104199,x104192,x104191,x104197,x104193))),f324(x104195,f512(x104196,x104194,x104198,x104195,x104199,x104192,x104191,x104197,x104193))),f324(x104196,f512(x104196,x104194,x104198,x104195,x104199,x104192,x104191,x104197,x104193)))),f189(f928(f919(x104191),a916))))+~P1(f324(f61(x104193),x104197))+~P11(x104191,x104192,f324(f307(x104193,f919(x104191),f324(f324(f20(x104193,f928(x104191,f928(a918,a916)),f919(x104191)),f324(f324(f20(x104193,a917,f928(f928(x104191,f928(a918,a916)),f919(x104191))),f324(f324(f10(f928(x104191,f928(a918,a916)),f928(a917,f928(f928(x104191,f928(a918,a916)),f919(x104191))),x104193),f90(x104191)),x104199)),x104195)),x104198)),x104197))+P11(x104191,x104192,f324(f307(x104193,f919(x104191),f324(f324(f20(x104193,f928(x104191,f928(a918,a916)),f919(x104191)),f324(f324(f20(x104193,a917,f928(f928(x104191,f928(a918,a916)),f919(x104191))),f324(f324(f10(f928(x104191,f928(a918,a916)),f928(a917,f928(f928(x104191,f928(a918,a916)),f919(x104191))),x104193),f90(x104191)),x104194)),x104195)),x104196)),x104197)) % 194.45/194.28 [9951]~P9(x99516,x99517,x99518,x99519,x995110,x99511)+E(f324(f324(x99511,x99512),x99513),f324(f324(x99511,x99514),x99515))+~P1(f324(f324(f326(f927(x99517,x99517)),f324(f324(f252(x99517,x99517),x99513),x99515)),x995110))+~P1(f324(f324(f326(f927(x99516,x99516)),f324(f324(f252(x99516,x99516),x99512),x99514)),x99519)) % 194.45/194.28 [9548]~P105(x95482)+E(x95481,f189(f928(x95482,a916)))+~P1(f324(f61(x95482),x95481))+P1(f324(f324(f326(x95482),f12(x95482,x95481)),x95481))+~P1(f324(f324(f326(x95482),f324(f324(f103(x95482),f876(x95481,x95482)),f884(x95481,x95482))),f324(f324(f306(x95482),f876(x95481,x95482)),f324(f324(f306(x95482),f884(x95481,x95482)),f189(f928(x95482,a916)))))) % 194.45/194.28 [9549]~P105(x95492)+E(x95491,f189(f928(x95492,a916)))+~P1(f324(f61(x95492),x95491))+P1(f324(f324(f326(x95492),f15(x95492,x95491)),x95491))+~P1(f324(f324(f326(x95492),f324(f324(f112(x95492),f885(x95491,x95492)),f886(x95491,x95492))),f324(f324(f306(x95492),f885(x95491,x95492)),f324(f324(f306(x95492),f886(x95491,x95492)),f189(f928(x95492,a916)))))) % 194.45/194.28 [9581]~P75(x95812)+E(x95811,f189(f928(x95812,a916)))+~P1(f324(f61(x95812),x95811))+P1(f324(f324(f326(x95812),f324(f63(x95812,f80(x95812)),x95811)),x95811))+~P1(f324(f324(f326(x95812),f324(f324(f80(x95812),f906(x95811,x95812)),f907(x95811,x95812))),f324(f324(f306(x95812),f906(x95811,x95812)),f324(f324(f306(x95812),f907(x95811,x95812)),f189(f928(x95812,a916)))))) % 194.45/194.28 [9587]~P112(x95872)+E(x95871,f189(f928(x95872,a916)))+~P1(f324(f61(x95872),x95871))+P1(f324(f324(f326(x95872),f13(x95872,f188(x95872),x95871)),x95871))+~P1(f324(f324(f326(x95872),f324(f324(f188(x95872),f878(x95871,x95872)),f882(x95871,x95872))),f324(f324(f306(x95872),f878(x95871,x95872)),f324(f324(f306(x95872),f882(x95871,x95872)),f189(f928(x95872,a916)))))) % 194.45/194.28 [9588]~P112(x95882)+E(x95881,f189(f928(x95882,a916)))+~P1(f324(f61(x95882),x95881))+P1(f324(f324(f326(x95882),f14(x95882,f233(x95882),x95881)),x95881))+~P1(f324(f324(f326(x95882),f324(f324(f233(x95882),f458(x95881,x95882)),f462(x95881,x95882))),f324(f324(f306(x95882),f458(x95881,x95882)),f324(f324(f306(x95882),f462(x95881,x95882)),f189(f928(x95882,a916)))))) % 194.45/194.28 [6672]~P96(x66722)+E(x66721,f2(x66722))+~E(f324(f324(f79(x66722),x66723),x66721),f2(x66722))+~P1(f324(f324(f234(x66722),f2(x66722)),x66723))+~P1(f324(f324(f234(x66722),f2(x66722)),x66721)) % 194.45/194.28 [6673]~P96(x66732)+E(x66731,f2(x66732))+~E(f324(f324(f79(x66732),x66731),x66733),f2(x66732))+~P1(f324(f324(f234(x66732),f2(x66732)),x66733))+~P1(f324(f324(f234(x66732),f2(x66732)),x66731)) % 194.45/194.28 [7203]~P112(x72032)+~P10(x72032,x72031)+E(x72031,f115(x72032))+~P1(f324(f324(f326(x72032),x72033),f324(f172(x72032),f737(x72031,x72032))))+P1(f324(f324(f234(x72032),f757(x72031,x72032)),x72033)) % 194.45/194.28 [7373]~P112(x73731)+E(f16(x73731,x73732),x73733)+~P1(f324(f61(x73731),x73732))+~P1(f324(f324(f234(x73731),x73733),f373(x73733,x73732,x73731)))+~P1(f324(f324(f326(x73731),x73733),x73732)) % 194.45/194.28 [7409]~P112(x74091)+~P10(x74091,x74092)+~P10(x74091,x74093)+P10(x74091,f324(f324(f134(x74091),x74092),x74093))+P1(f324(f324(f326(x74091),f743(x74093,x74092,x74091)),f324(f172(x74091),x74092))) % 194.45/194.28 [7410]~P112(x74101)+~P10(x74101,x74102)+~P10(x74101,x74103)+P10(x74101,f324(f324(f134(x74101),x74102),x74103))+P1(f324(f324(f326(x74101),f745(x74103,x74102,x74101)),f324(f172(x74101),x74103))) % 194.45/194.28 [7470]~P112(x74701)+E(f16(x74701,x74702),x74703)+~P1(f324(f61(x74701),x74702))+P1(f324(f324(f326(x74701),f373(x74703,x74702,x74701)),x74702))+~P1(f324(f324(f326(x74701),x74703),x74702)) % 194.45/194.28 [7471]~P112(x74711)+E(f17(x74711,x74712),x74713)+~P1(f324(f61(x74711),x74712))+P1(f324(f324(f326(x74711),f632(x74713,x74712,x74711)),x74712))+~P1(f324(f324(f326(x74711),x74713),x74712)) % 194.45/194.28 [8051]~P112(x80511)+E(f17(x80511,x80512),x80513)+~P1(f324(f61(x80511),x80512))+~P1(f324(f324(f326(x80511),x80513),x80512))+~P1(f324(f324(f234(x80511),f632(x80513,x80512,x80511)),x80513)) % 194.45/194.28 [8373]~P112(x83731)+~P10(x83731,x83732)+~P10(x83731,x83733)+P10(x83731,f324(f324(f134(x83731),x83732),x83733))+~P1(f324(f324(f234(x83731),f743(x83733,x83732,x83731)),f745(x83733,x83732,x83731))) % 194.45/194.28 [9170]~P105(x91702)+E(x91701,f189(f928(x91702,a916)))+~E(f324(f324(f103(x91702),f324(x91703,f514(x91701,x91703,x91702))),f324(x91703,f524(x91701,x91703,x91702))),f324(x91703,f324(f324(f103(x91702),f514(x91701,x91703,x91702)),f524(x91701,x91703,x91702))))+E(f12(x91702,f324(f307(x91702,x91702,x91703),x91701)),f324(x91703,f12(x91702,x91701)))+~P1(f324(f61(x91702),x91701)) % 194.45/194.28 [9171]~P105(x91712)+E(x91711,f189(f928(x91712,a916)))+~E(f324(f324(f112(x91712),f324(x91713,f525(x91711,x91713,x91712))),f324(x91713,f526(x91711,x91713,x91712))),f324(x91713,f324(f324(f112(x91712),f525(x91711,x91713,x91712)),f526(x91711,x91713,x91712))))+E(f15(x91712,f324(f307(x91712,x91712,x91713),x91711)),f324(x91713,f15(x91712,x91711)))+~P1(f324(f61(x91712),x91711)) % 194.45/194.28 [9172]~P112(x91722)+E(x91721,f189(f928(x91722,a916)))+~E(f324(f324(f188(x91722),f324(x91723,f515(x91721,x91723,x91722))),f324(x91723,f523(x91721,x91723,x91722))),f324(x91723,f324(f324(f188(x91722),f515(x91721,x91723,x91722)),f523(x91721,x91723,x91722))))+E(f16(x91722,f324(f307(x91722,x91722,x91723),x91721)),f324(x91723,f16(x91722,x91721)))+~P1(f324(f61(x91722),x91721)) % 194.45/194.28 [9173]~P112(x91732)+E(x91731,f189(f928(x91732,a916)))+~E(f324(f324(f233(x91732),f324(x91733,f516(x91731,x91733,x91732))),f324(x91733,f522(x91731,x91733,x91732))),f324(x91733,f324(f324(f233(x91732),f516(x91731,x91733,x91732)),f522(x91731,x91733,x91732))))+E(f17(x91732,f324(f307(x91732,x91732,x91733),x91731)),f324(x91733,f17(x91732,x91731)))+~P1(f324(f61(x91732),x91731)) % 194.45/194.28 [9244]~P112(x92442)+E(x92441,f189(f928(x92442,a916)))+~E(f324(f324(f188(x92442),f324(x92443,f517(x92441,x92443,x92442))),f324(x92443,f520(x92441,x92443,x92442))),f324(x92443,f324(f324(f188(x92442),f517(x92441,x92443,x92442)),f520(x92441,x92443,x92442))))+E(f13(x92442,f188(x92442),f324(f307(x92442,x92442,x92443),x92441)),f324(x92443,f13(x92442,f188(x92442),x92441)))+~P1(f324(f61(x92442),x92441)) % 194.45/194.28 [9245]~P112(x92452)+E(x92451,f189(f928(x92452,a916)))+~E(f324(f324(f233(x92452),f324(x92453,f518(x92451,x92453,x92452))),f324(x92453,f519(x92451,x92453,x92452))),f324(x92453,f324(f324(f233(x92452),f518(x92451,x92453,x92452)),f519(x92451,x92453,x92452))))+E(f14(x92452,f233(x92452),f324(f307(x92452,x92452,x92453),x92451)),f324(x92453,f14(x92452,f233(x92452),x92451)))+~P1(f324(f61(x92452),x92451)) % 194.45/194.28 [6688]~P75(x66882)+E(x66881,f189(f928(x66882,a916)))+~P1(f324(f61(x66882),x66881))+E(f324(f63(x66882,f80(x66882)),f324(f324(f306(x66882),x66883),x66881)),f324(f324(f80(x66882),x66883),f324(f63(x66882,f80(x66882)),x66881)))+P1(f324(f324(f326(x66882),x66883),x66881)) % 194.45/194.28 [7210]~P105(x72102)+E(f324(f324(f103(x72102),f12(x72102,x72101)),f12(x72102,x72103)),f12(x72102,x72103))+E(x72101,f189(f928(x72102,a916)))+~P1(f324(f61(x72102),x72103))+~P1(f324(f324(f234(f928(x72102,a916)),x72101),x72103)) % 194.45/194.28 [7211]~P105(x72112)+E(f324(f324(f112(x72112),f15(x72112,x72111)),f15(x72112,x72113)),f15(x72112,x72113))+E(x72111,f189(f928(x72112,a916)))+~P1(f324(f61(x72112),x72113))+~P1(f324(f324(f234(f928(x72112,a916)),x72111),x72113)) % 194.45/194.28 [7212]~P112(x72122)+E(f324(f324(f188(x72122),f16(x72122,x72121)),f16(x72122,x72123)),f16(x72122,x72123))+E(x72121,f189(f928(x72122,a916)))+~P1(f324(f61(x72122),x72123))+~P1(f324(f324(f234(f928(x72122,a916)),x72121),x72123)) % 194.45/194.28 [7213]~P112(x72132)+E(f324(f324(f233(x72132),f17(x72132,x72131)),f17(x72132,x72133)),f17(x72132,x72133))+E(x72131,f189(f928(x72132,a916)))+~P1(f324(f61(x72132),x72133))+~P1(f324(f324(f234(f928(x72132,a916)),x72131),x72133)) % 194.45/194.28 [7521]~P112(x75212)+E(x75211,f189(f928(x75212,a916)))+~P1(f324(f61(x75212),x75213))+P1(f324(f324(f234(x75212),f16(x75212,x75213)),f16(x75212,x75211)))+~P1(f324(f324(f234(f928(x75212,a916)),x75211),x75213)) % 194.45/194.28 [7522]~P112(x75222)+E(x75221,f189(f928(x75222,a916)))+~P1(f324(f61(x75222),x75223))+P1(f324(f324(f234(x75222),f17(x75222,x75221)),f17(x75222,x75223)))+~P1(f324(f324(f234(f928(x75222,a916)),x75221),x75223)) % 194.45/194.28 [7579]~P105(x75791)+E(f12(x75791,x75792),x75793)+~P1(f324(f61(x75791),x75792))+~E(f324(f324(f3(f928(x75791,a916)),x75792),f324(f324(f306(x75791),x75793),f189(f928(x75791,a916)))),f189(f928(x75791,a916)))+~P1(f324(f324(f326(x75791),x75793),x75792)) % 194.45/194.28 [7580]~P105(x75801)+E(f15(x75801,x75802),x75803)+~P1(f324(f61(x75801),x75802))+~E(f324(f324(f3(f928(x75801,a916)),x75802),f324(f324(f306(x75801),x75803),f189(f928(x75801,a916)))),f189(f928(x75801,a916)))+~P1(f324(f324(f326(x75801),x75803),x75802)) % 194.45/194.28 [7581]~P112(x75811)+E(f16(x75811,x75812),x75813)+~P1(f324(f61(x75811),x75812))+~E(f324(f324(f3(f928(x75811,a916)),x75812),f324(f324(f306(x75811),x75813),f189(f928(x75811,a916)))),f189(f928(x75811,a916)))+~P1(f324(f324(f326(x75811),x75813),x75812)) % 194.45/194.28 [7582]~P112(x75821)+E(f17(x75821,x75822),x75823)+~P1(f324(f61(x75821),x75822))+~E(f324(f324(f3(f928(x75821,a916)),x75822),f324(f324(f306(x75821),x75823),f189(f928(x75821,a916)))),f189(f928(x75821,a916)))+~P1(f324(f324(f326(x75821),x75823),x75822)) % 194.45/194.28 [7678]~P112(x76781)+E(f13(x76781,f188(x76781),x76782),x76783)+~P1(f324(f61(x76781),x76782))+~E(f324(f324(f3(f928(x76781,a916)),x76782),f324(f324(f306(x76781),x76783),f189(f928(x76781,a916)))),f189(f928(x76781,a916)))+~P1(f324(f324(f326(x76781),x76783),x76782)) % 194.45/194.28 [7679]~P112(x76791)+E(f14(x76791,f233(x76791),x76792),x76793)+~P1(f324(f61(x76791),x76792))+~E(f324(f324(f3(f928(x76791,a916)),x76792),f324(f324(f306(x76791),x76793),f189(f928(x76791,a916)))),f189(f928(x76791,a916)))+~P1(f324(f324(f326(x76791),x76793),x76792)) % 194.45/194.28 [7714]~P63(x77142)+E(x77141,f189(f928(x77142,a916)))+~P1(f324(f61(x77142),x77141))+~P1(f324(f324(f234(x77142),x77143),f898(x77143,x77141,x77142)))+P1(f324(f324(f234(x77142),x77143),f324(f63(x77142,f103(x77142)),x77141))) % 194.45/194.28 [7715]~P112(x77152)+E(x77151,f189(f928(x77152,a916)))+~P1(f324(f61(x77152),x77151))+~P1(f324(f324(f234(x77152),x77153),f899(x77153,x77151,x77152)))+P1(f324(f324(f234(x77152),x77153),f324(f63(x77152,f188(x77152)),x77151))) % 194.45/194.28 [7716]~P112(x77162)+E(x77161,f189(f928(x77162,a916)))+~P1(f324(f61(x77162),x77161))+~P1(f324(f324(f235(x77162),x77163),f900(x77163,x77161,x77162)))+P1(f324(f324(f235(x77162),x77163),f324(f63(x77162,f188(x77162)),x77161))) % 194.45/194.28 [7801]~P63(x78012)+E(x78011,f189(f928(x78012,a916)))+~P1(f324(f61(x78012),x78011))+P1(f324(f324(f326(x78012),f898(x78013,x78011,x78012)),x78011))+P1(f324(f324(f234(x78012),x78013),f324(f63(x78012,f103(x78012)),x78011))) % 194.45/194.28 [7802]~P112(x78022)+E(x78021,f189(f928(x78022,a916)))+~P1(f324(f61(x78022),x78021))+P1(f324(f324(f326(x78022),f899(x78023,x78021,x78022)),x78021))+P1(f324(f324(f234(x78022),x78023),f324(f63(x78022,f188(x78022)),x78021))) % 194.45/194.28 [7803]~P112(x78032)+E(x78031,f189(f928(x78032,a916)))+~P1(f324(f61(x78032),x78031))+P1(f324(f324(f326(x78032),f900(x78033,x78031,x78032)),x78031))+P1(f324(f324(f235(x78032),x78033),f324(f63(x78032,f188(x78032)),x78031))) % 194.45/194.28 [7923]~P112(x79232)+E(x79231,f189(f928(x79232,a916)))+E(f324(f324(f188(x79232),f13(x79232,f188(x79232),x79231)),f13(x79232,f188(x79232),x79233)),f13(x79232,f188(x79232),x79233))+~P1(f324(f61(x79232),x79233))+~P1(f324(f324(f234(f928(x79232,a916)),x79231),x79233)) % 194.45/194.28 [7924]~P112(x79242)+E(x79241,f189(f928(x79242,a916)))+E(f324(f324(f233(x79242),f14(x79242,f233(x79242),x79241)),f14(x79242,f233(x79242),x79243)),f14(x79242,f233(x79242),x79243))+~P1(f324(f61(x79242),x79243))+~P1(f324(f324(f234(f928(x79242,a916)),x79241),x79243)) % 194.45/194.28 [8133]~E(f902(x81331,x81333,x81332),f903(x81331,x81333,x81332))+~E(f324(f35(x81332),f904(x81331,x81333,x81332)),x81331)+E(f324(f324(f80(a920),x81331),f324(f35(f928(x81332,a916)),x81333)),f324(f35(x81332),f37(f928(x81332,a916),x81333)))+~P1(f324(f61(x81332),f37(f928(x81332,a916),x81333)))+~P1(f324(f61(f928(x81332,a916)),x81333)) % 194.45/194.28 [8312]~P112(x83122)+E(x83121,f189(f928(x83122,a916)))+~P1(f324(f61(x83122),x83123))+P1(f324(f324(f234(x83122),f324(f63(x83122,f188(x83122)),x83123)),f324(f63(x83122,f188(x83122)),x83121)))+~P1(f324(f324(f234(f928(x83122,a916)),x83121),x83123)) % 194.45/194.28 [8614]~E(f902(x86141,x86143,x86142),f903(x86141,x86143,x86142))+E(f324(f324(f80(a920),x86141),f324(f35(f928(x86142,a916)),x86143)),f324(f35(x86142),f37(f928(x86142,a916),x86143)))+P1(f324(f324(f326(f928(x86142,a916)),f904(x86141,x86143,x86142)),x86143))+~P1(f324(f61(x86142),f37(f928(x86142,a916),x86143)))+~P1(f324(f61(f928(x86142,a916)),x86143)) % 194.45/194.28 [8640]~E(f324(f35(x86402),f904(x86401,x86403,x86402)),x86401)+E(f324(f324(f80(a920),x86401),f324(f35(f928(x86402,a916)),x86403)),f324(f35(x86402),f37(f928(x86402,a916),x86403)))+P1(f324(f324(f326(f928(x86402,a916)),f903(x86401,x86403,x86402)),x86403))+~P1(f324(f61(x86402),f37(f928(x86402,a916),x86403)))+~P1(f324(f61(f928(x86402,a916)),x86403)) % 194.45/194.28 [8641]~E(f324(f35(x86412),f904(x86411,x86413,x86412)),x86411)+E(f324(f324(f80(a920),x86411),f324(f35(f928(x86412,a916)),x86413)),f324(f35(x86412),f37(f928(x86412,a916),x86413)))+P1(f324(f324(f326(f928(x86412,a916)),f902(x86411,x86413,x86412)),x86413))+~P1(f324(f61(x86412),f37(f928(x86412,a916),x86413)))+~P1(f324(f61(f928(x86412,a916)),x86413)) % 194.45/194.28 [8668]~E(f324(f35(x86682),f904(x86681,x86683,x86682)),x86681)+~E(f324(f324(f103(f928(x86682,a916)),f903(x86681,x86683,x86682)),f902(x86681,x86683,x86682)),f189(f928(x86682,a916)))+E(f324(f324(f80(a920),x86681),f324(f35(f928(x86682,a916)),x86683)),f324(f35(x86682),f37(f928(x86682,a916),x86683)))+~P1(f324(f61(f928(x86682,a916)),x86683))+~P1(f324(f61(x86682),f37(f928(x86682,a916),x86683))) % 194.45/194.28 [8931]E(f324(f324(f80(a920),x89311),f324(f35(f928(x89312,a916)),x89313)),f324(f35(x89312),f37(f928(x89312,a916),x89313)))+P1(f324(f324(f326(f928(x89312,a916)),f904(x89311,x89313,x89312)),x89313))+P1(f324(f324(f326(f928(x89312,a916)),f903(x89311,x89313,x89312)),x89313))+~P1(f324(f61(f928(x89312,a916)),x89313))+~P1(f324(f61(x89312),f37(f928(x89312,a916),x89313))) % 194.45/194.28 [8932]E(f324(f324(f80(a920),x89321),f324(f35(f928(x89322,a916)),x89323)),f324(f35(x89322),f37(f928(x89322,a916),x89323)))+P1(f324(f324(f326(f928(x89322,a916)),f904(x89321,x89323,x89322)),x89323))+P1(f324(f324(f326(f928(x89322,a916)),f902(x89321,x89323,x89322)),x89323))+~P1(f324(f61(f928(x89322,a916)),x89323))+~P1(f324(f61(x89322),f37(f928(x89322,a916),x89323))) % 194.45/194.28 [8958]~E(f324(f324(f103(f928(x89582,a916)),f903(x89581,x89583,x89582)),f902(x89581,x89583,x89582)),f189(f928(x89582,a916)))+E(f324(f324(f80(a920),x89581),f324(f35(f928(x89582,a916)),x89583)),f324(f35(x89582),f37(f928(x89582,a916),x89583)))+~P1(f324(f61(f928(x89582,a916)),x89583))+P1(f324(f324(f326(f928(x89582,a916)),f904(x89581,x89583,x89582)),x89583))+~P1(f324(f61(x89582),f37(f928(x89582,a916),x89583))) % 194.45/194.28 [9219]~P103(x92192)+E(x92191,f189(f928(x92192,a916)))+~E(f324(f324(f80(x92192),f324(x92193,f527(x92191,x92193,x92192))),f324(x92193,f528(x92191,x92193,x92192))),f324(x92193,f324(f324(f80(x92192),f527(x92191,x92193,x92192)),f528(x92191,x92193,x92192))))+~P1(f324(f61(x92192),x92191))+E(f324(f63(x92192,f80(x92192)),f324(f307(x92192,x92192,x92193),x92191)),f324(x92193,f324(f63(x92192,f80(x92192)),x92191))) % 194.45/194.28 [10159]P1(f324(f324(x101591,x101592),x101593))+P1(f324(f324(f235(a1),f441(x101591,x101593,x101592)),f444(x101591,x101593,x101592)))+P1(f324(f324(f234(a1),f444(x101591,x101593,x101592)),f2(a1)))+P1(f324(f324(x101591,f441(x101591,x101593,x101592)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f444(x101591,x101593,x101592))))+~P1(f324(f312(f927(a1,a1),a58),f324(f324(f252(a1,a1),x101592),x101593))) % 194.45/194.28 [10165]P1(f324(f324(x101651,x101652),x101653))+P1(f324(f324(f234(a1),f440(x101651,x101653,x101652)),f2(a1)))+P1(f324(f324(x101651,f439(x101651,x101653,x101652)),f324(f324(f80(a1),f324(f105(a1),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f440(x101651,x101653,x101652))))+P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),f439(x101651,x101653,x101652)),f440(x101651,x101653,x101652))))+~P1(f324(f312(f927(a1,a1),a52),f324(f324(f252(a1,a1),x101652),x101653))) % 194.45/194.28 [8102]~P125(x81021)+~P1(f324(f324(f234(x81021),x81022),f77(x81021)))+~P1(f324(f324(f234(x81021),f2(x81021)),x81022))+~P1(f324(f324(f234(x81021),f2(x81021)),x81023))+P1(f324(f324(f234(x81021),f324(f324(f80(x81021),x81022),x81023)),x81023)) % 194.45/194.28 [8103]~P125(x81031)+~P1(f324(f324(f234(x81031),x81033),f77(x81031)))+~P1(f324(f324(f234(x81031),f2(x81031)),x81033))+~P1(f324(f324(f234(x81031),f2(x81031)),x81032))+P1(f324(f324(f234(x81031),f324(f324(f80(x81031),x81032),x81033)),x81032)) % 194.45/194.28 [8458]~P112(x84582)+E(x84581,f189(f928(x84582,a916)))+~P1(f324(f61(x84582),x84581))+P1(f324(f324(f326(x84582),f901(x84583,x84581,x84582)),x84581))+~P1(f324(f324(f234(x84582),f324(f63(x84582,f188(x84582)),x84581)),x84583)) % 194.45/194.28 [8459]~P112(x84592)+E(x84591,f189(f928(x84592,a916)))+~P1(f324(f61(x84592),x84591))+P1(f324(f324(f326(x84592),f905(x84593,x84591,x84592)),x84591))+~P1(f324(f324(f235(x84592),f324(f63(x84592,f188(x84592)),x84591)),x84593)) % 194.45/194.28 [8460]~P112(x84602)+E(x84601,f189(f928(x84602,a916)))+~P1(f324(f61(x84602),x84601))+P1(f324(f324(f234(x84602),f901(x84603,x84601,x84602)),x84603))+~P1(f324(f324(f234(x84602),f324(f63(x84602,f188(x84602)),x84601)),x84603)) % 194.45/194.28 [8461]~P112(x84612)+E(x84611,f189(f928(x84612,a916)))+~P1(f324(f61(x84612),x84611))+P1(f324(f324(f235(x84612),f905(x84613,x84611,x84612)),x84613))+~P1(f324(f324(f235(x84612),f324(f63(x84612,f188(x84612)),x84611)),x84613)) % 194.45/194.28 [8549]~P1(f324(x85491,x85493))+P1(f324(x85491,f490(x85491,x85492)))+P1(f324(x85491,f478(x85491,x85492)))+~P1(f324(f324(f235(a1),f2(a1)),x85492))+P1(f324(x85491,f324(f324(f3(a1),f478(x85491,x85492)),f324(f324(f80(a1),f491(x85491,x85492)),x85492)))) % 194.45/194.28 [8769]~P1(f324(x87691,x87693))+P1(f324(x87691,f478(x87691,x87692)))+~P1(f324(f324(f235(a1),f2(a1)),x87692))+P1(f324(f324(f326(a1),f490(x87691,x87692)),f300(a1,f77(a1),x87692)))+P1(f324(x87691,f324(f324(f3(a1),f478(x87691,x87692)),f324(f324(f80(a1),f491(x87691,x87692)),x87692)))) % 194.45/194.28 [8980]~P1(f324(x89801,x89803))+~P1(f324(x89801,f478(x89801,x89802)))+P1(f324(x89801,f490(x89801,x89802)))+~P1(f324(f324(f235(a1),f2(a1)),x89802))+~P1(f324(x89801,f324(f324(f3(a1),f478(x89801,x89802)),f324(f324(f80(a1),f491(x89801,x89802)),x89802)))) % 194.45/194.28 [9107]~P1(f324(x91071,x91073))+~P1(f324(x91071,f478(x91071,x91072)))+~P1(f324(f324(f235(a1),f2(a1)),x91072))+P1(f324(f324(f326(a1),f490(x91071,x91072)),f300(a1,f77(a1),x91072)))+~P1(f324(x91071,f324(f324(f3(a1),f478(x91071,x91072)),f324(f324(f80(a1),f491(x91071,x91072)),x91072)))) % 194.45/194.28 [8885]~P105(x88851)+~P1(f324(f61(x88851),x88852))+E(f324(f324(f3(f928(x88851,a916)),x88852),f324(f324(f306(x88851),x88853),f189(f928(x88851,a916)))),f189(f928(x88851,a916)))+~P1(f324(f324(f326(x88851),x88853),x88852))+E(f324(f324(f103(x88851),x88853),f12(x88851,f324(f324(f3(f928(x88851,a916)),x88852),f324(f324(f306(x88851),x88853),f189(f928(x88851,a916)))))),f12(x88851,x88852)) % 194.45/194.28 [8886]~P105(x88861)+~P1(f324(f61(x88861),x88862))+E(f324(f324(f3(f928(x88861,a916)),x88862),f324(f324(f306(x88861),x88863),f189(f928(x88861,a916)))),f189(f928(x88861,a916)))+~P1(f324(f324(f326(x88861),x88863),x88862))+E(f324(f324(f112(x88861),x88863),f15(x88861,f324(f324(f3(f928(x88861,a916)),x88862),f324(f324(f306(x88861),x88863),f189(f928(x88861,a916)))))),f15(x88861,x88862)) % 194.45/194.28 [8887]~P112(x88871)+~P1(f324(f61(x88871),x88872))+E(f324(f324(f3(f928(x88871,a916)),x88872),f324(f324(f306(x88871),x88873),f189(f928(x88871,a916)))),f189(f928(x88871,a916)))+~P1(f324(f324(f326(x88871),x88873),x88872))+E(f324(f324(f188(x88871),x88873),f16(x88871,f324(f324(f3(f928(x88871,a916)),x88872),f324(f324(f306(x88871),x88873),f189(f928(x88871,a916)))))),f16(x88871,x88872)) % 194.45/194.28 [8888]~P112(x88881)+~P1(f324(f61(x88881),x88882))+E(f324(f324(f3(f928(x88881,a916)),x88882),f324(f324(f306(x88881),x88883),f189(f928(x88881,a916)))),f189(f928(x88881,a916)))+~P1(f324(f324(f326(x88881),x88883),x88882))+E(f324(f324(f233(x88881),x88883),f17(x88881,f324(f324(f3(f928(x88881,a916)),x88882),f324(f324(f306(x88881),x88883),f189(f928(x88881,a916)))))),f17(x88881,x88882)) % 194.45/194.28 [8951]~P112(x89511)+~P1(f324(f61(x89511),x89512))+E(f324(f324(f3(f928(x89511,a916)),x89512),f324(f324(f306(x89511),x89513),f189(f928(x89511,a916)))),f189(f928(x89511,a916)))+~P1(f324(f324(f326(x89511),x89513),x89512))+E(f324(f324(f188(x89511),x89513),f13(x89511,f188(x89511),f324(f324(f3(f928(x89511,a916)),x89512),f324(f324(f306(x89511),x89513),f189(f928(x89511,a916)))))),f13(x89511,f188(x89511),x89512)) % 194.45/194.28 [8952]~P112(x89521)+~P1(f324(f61(x89521),x89522))+E(f324(f324(f3(f928(x89521,a916)),x89522),f324(f324(f306(x89521),x89523),f189(f928(x89521,a916)))),f189(f928(x89521,a916)))+~P1(f324(f324(f326(x89521),x89523),x89522))+E(f324(f324(f233(x89521),x89523),f14(x89521,f233(x89521),f324(f324(f3(f928(x89521,a916)),x89522),f324(f324(f306(x89521),x89523),f189(f928(x89521,a916)))))),f14(x89521,f233(x89521),x89522)) % 194.45/194.28 [8967]~P105(x89671)+~P1(f324(f61(x89671),x89673))+~P1(f324(f61(x89671),x89672))+E(f324(f324(f103(f928(x89671,a916)),x89672),x89673),f189(f928(x89671,a916)))+E(f324(f324(f103(x89671),f12(x89671,f324(f324(f112(f928(x89671,a916)),x89672),x89673))),f12(x89671,f324(f324(f103(f928(x89671,a916)),x89672),x89673))),f324(f324(f103(x89671),f12(x89671,x89672)),f12(x89671,x89673))) % 194.45/194.28 [8968]~P105(x89681)+~P1(f324(f61(x89681),x89683))+~P1(f324(f61(x89681),x89682))+E(f324(f324(f103(f928(x89681,a916)),x89682),x89683),f189(f928(x89681,a916)))+E(f324(f324(f112(x89681),f15(x89681,f324(f324(f112(f928(x89681,a916)),x89682),x89683))),f15(x89681,f324(f324(f103(f928(x89681,a916)),x89682),x89683))),f324(f324(f112(x89681),f15(x89681,x89682)),f15(x89681,x89683))) % 194.45/194.28 [8969]~P112(x89691)+~P1(f324(f61(x89691),x89693))+~P1(f324(f61(x89691),x89692))+E(f324(f324(f103(f928(x89691,a916)),x89692),x89693),f189(f928(x89691,a916)))+E(f324(f324(f188(x89691),f16(x89691,f324(f324(f112(f928(x89691,a916)),x89692),x89693))),f16(x89691,f324(f324(f103(f928(x89691,a916)),x89692),x89693))),f324(f324(f188(x89691),f16(x89691,x89692)),f16(x89691,x89693))) % 194.45/194.28 [8970]~P112(x89701)+~P1(f324(f61(x89701),x89703))+~P1(f324(f61(x89701),x89702))+E(f324(f324(f103(f928(x89701,a916)),x89702),x89703),f189(f928(x89701,a916)))+E(f324(f324(f233(x89701),f17(x89701,f324(f324(f112(f928(x89701,a916)),x89702),x89703))),f17(x89701,f324(f324(f103(f928(x89701,a916)),x89702),x89703))),f324(f324(f233(x89701),f17(x89701,x89702)),f17(x89701,x89703))) % 194.45/194.28 [9191]~P112(x91911)+~P1(f324(f61(x91911),x91913))+~P1(f324(f61(x91911),x91912))+E(f324(f324(f103(f928(x91911,a916)),x91912),x91913),f189(f928(x91911,a916)))+E(f324(f324(f188(x91911),f13(x91911,f188(x91911),f324(f324(f112(f928(x91911,a916)),x91912),x91913))),f13(x91911,f188(x91911),f324(f324(f103(f928(x91911,a916)),x91912),x91913))),f324(f324(f188(x91911),f13(x91911,f188(x91911),x91912)),f13(x91911,f188(x91911),x91913))) % 194.45/194.28 [9192]~P112(x91921)+~P1(f324(f61(x91921),x91923))+~P1(f324(f61(x91921),x91922))+E(f324(f324(f103(f928(x91921,a916)),x91922),x91923),f189(f928(x91921,a916)))+E(f324(f324(f233(x91921),f14(x91921,f233(x91921),f324(f324(f112(f928(x91921,a916)),x91922),x91923))),f14(x91921,f233(x91921),f324(f324(f103(f928(x91921,a916)),x91922),x91923))),f324(f324(f233(x91921),f14(x91921,f233(x91921),x91922)),f14(x91921,f233(x91921),x91923))) % 194.45/194.28 [10008]~P129(x100083)+E(x100081,x100082)+~P1(f324(f324(f234(x100083),f2(x100083)),x100082))+~P1(f324(f324(f234(x100083),f2(x100083)),x100081))+~E(f324(f324(f244(x100083),x100081),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)))),f324(f324(f244(x100083),x100082),f324(f105(a920),f324(f324(f79(a1),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99)),f324(f324(f3(a1),f324(f324(f79(a1),a82),a82)),a99))))) % 194.45/194.28 [6486]E(f333(x64861,x64862,x64863),x64864)+E(f324(x64861,x64864),f2(a920))+~E(f324(f324(f8(x64863,a920),x64861),x64862),f77(a920))+~P1(f324(f61(x64863),x64862))+~P1(f324(f324(f326(x64863),x64864),x64862)) % 194.45/194.28 [6551]E(f334(x65511,x65512,x65513),x65514)+E(f324(x65511,x65514),f2(a920))+~E(f324(f324(f8(x65513,a920),x65511),x65512),f324(a114,f2(a920)))+~P1(f324(f61(x65513),x65512))+~P1(f324(f324(f326(x65513),x65514),x65512)) % 194.45/194.28 [6658]~P2(x66581)+~P112(x66581)+P1(f324(f324(f235(x66581),x66582),f37(x66581,x66583)))+~P1(f324(f324(f235(x66581),x66582),x66584))+~P1(f324(f324(f326(x66581),x66584),x66583)) % 194.45/194.28 [6832]~P2(x68321)+~P112(x68321)+~P1(f324(f324(f235(x68321),x68324),x68323))+P1(f324(f324(f235(x68321),f38(x68321,x68322)),x68323))+~P1(f324(f324(f326(x68321),x68324),x68322)) % 194.45/194.28 [7088]~P129(x70883)+E(x70881,x70882)+~E(f324(f324(f244(x70883),x70881),f324(a114,x70884)),f324(f324(f244(x70883),x70882),f324(a114,x70884)))+~P1(f324(f324(f234(x70883),f2(x70883)),x70882))+~P1(f324(f324(f234(x70883),f2(x70883)),x70881)) % 194.45/194.28 [7298]~E(f337(x72982,x72983,x72981,x72984),x72984)+~E(f324(x72982,x72984),f77(a920))+E(f324(f324(f8(x72981,a920),x72982),x72983),f77(a920))+~P1(f324(f61(x72981),x72983))+~P1(f324(f324(f326(x72981),x72984),x72983)) % 194.45/194.28 [7305]~P121(x73054)+~P135(x73054)+E(f324(x73051,f897(x73051,x73052,x73053,x73054)),f2(x73054))+~E(f324(f324(f11(x73053,x73054),x73051),x73052),f2(x73054))+~P1(f324(f61(x73053),x73052)) % 194.45/194.28 [7396]~E(f335(x73962,x73963,x73961,x73964),x73964)+~E(f324(x73962,x73964),f324(a114,f2(a920)))+E(f324(f324(f8(x73961,a920),x73962),x73963),f324(a114,f2(a920)))+~P1(f324(f61(x73961),x73963))+~P1(f324(f324(f326(x73961),x73964),x73963)) % 194.45/194.28 [8146]~E(f324(x81462,x81464),f77(a920))+~E(f324(x81462,f337(x81462,x81463,x81461,x81464)),f2(a920))+E(f324(f324(f8(x81461,a920),x81462),x81463),f77(a920))+~P1(f324(f61(x81461),x81463))+~P1(f324(f324(f326(x81461),x81464),x81463)) % 194.45/194.28 [8184]~E(f324(x81842,x81844),f324(a114,f2(a920)))+~E(f324(x81842,f335(x81842,x81843,x81841,x81844)),f2(a920))+E(f324(f324(f8(x81841,a920),x81842),x81843),f324(a114,f2(a920)))+~P1(f324(f61(x81841),x81843))+~P1(f324(f324(f326(x81841),x81844),x81843)) % 194.45/194.28 [8736]~P112(x87361)+~P10(x87361,x87364)+P10(x87361,x87362)+~E(x87362,f324(f324(f151(x87361),x87363),x87364))+~P1(f324(f324(f234(x87361),x87363),f759(x87362,x87361,x87364,x87363))) % 194.45/194.28 [8773]E(x87731,x87732)+E(f324(f324(f3(a1),f479(x87733,x87732,x87734,x87731)),f480(x87733,x87732,x87734,x87731)),x87731)+~E(f324(f324(f79(a1),x87731),x87734),x87732)+~P1(f324(f324(f235(a1),f2(a1)),x87734))+~P1(f324(f324(f326(a1),x87732),x87733)) % 194.45/194.28 [8774]E(x87741,x87742)+E(f324(f324(f79(a1),f481(x87743,x87742,x87744,x87741)),f482(x87743,x87742,x87744,x87741)),x87741)+~E(f324(f324(f3(a1),x87741),x87744),x87742)+~P1(f324(f324(f235(a1),f2(a1)),x87744))+~P1(f324(f324(f326(a1),x87742),x87743)) % 194.45/194.28 [8965]E(f324(x89651,f404(x89652,x89651,x89653,x89654)),x89652)+P1(f324(f324(f234(a920),x89654),f405(x89652,x89651,x89653,x89654)))+~P1(f324(f324(f234(a1),x89652),f324(x89651,x89653)))+~P1(f324(f324(f235(a920),x89654),x89653))+~P1(f324(f324(f234(a1),f324(x89651,x89654)),x89652)) % 194.45/194.28 [8966]~P112(x89661)+~P10(x89661,x89663)+P10(x89661,x89662)+~E(x89662,f324(f324(f151(x89661),x89664),x89663))+P1(f324(f324(f326(x89661),f759(x89662,x89661,x89663,x89664)),f324(f172(x89661),x89663))) % 194.45/194.28 [8984]~P121(x89844)+~P135(x89844)+~E(f324(f324(f11(x89841,x89844),x89842),x89843),f2(x89844))+~P1(f324(f61(x89841),x89843))+P1(f324(f324(f326(x89841),f897(x89842,x89843,x89841,x89844)),x89843)) % 194.45/194.28 [9023]~E(f324(x90232,x90234),f77(a920))+E(f324(f324(f8(x90231,a920),x90232),x90233),f77(a920))+~P1(f324(f61(x90231),x90233))+~P1(f324(f324(f326(x90231),x90234),x90233))+P1(f324(f324(f326(x90231),f337(x90232,x90233,x90231,x90234)),x90233)) % 194.45/194.28 [9035]E(x90351,x90352)+~E(f324(f324(f79(a1),x90352),x90354),x90351)+~P1(f324(f324(f235(a1),f2(a1)),x90354))+~P1(f324(f324(f326(a1),x90351),x90353))+P1(f324(f324(f326(a1),f479(x90353,x90351,x90354,x90352)),x90353)) % 194.45/194.28 [9036]E(x90361,x90362)+~E(f324(f324(f3(a1),x90362),x90364),x90361)+~P1(f324(f324(f235(a1),f2(a1)),x90364))+~P1(f324(f324(f326(a1),x90361),x90363))+P1(f324(f324(f326(a1),f481(x90363,x90361,x90364,x90362)),x90363)) % 194.45/194.28 [9038]~E(f324(x90382,x90384),f324(a114,f2(a920)))+E(f324(f324(f8(x90381,a920),x90382),x90383),f324(a114,f2(a920)))+~P1(f324(f61(x90381),x90383))+~P1(f324(f324(f326(x90381),x90384),x90383))+P1(f324(f324(f326(x90381),f335(x90382,x90383,x90381,x90384)),x90383)) % 194.45/194.28 [9043]P59(x90432,x90433,x90434,x90431)+E(x90431,f189(f928(x90432,a916)))+~P1(f324(f61(x90432),x90434))+~P1(f324(f61(x90432),x90431))+P1(f324(f324(f326(x90432),f827(x90433,x90431,x90434,x90432)),x90434)) % 194.45/194.28 [9044]P59(x90442,x90443,x90444,x90441)+E(x90441,f189(f928(x90442,a916)))+~P1(f324(f61(x90442),x90444))+~P1(f324(f61(x90442),x90441))+P1(f324(f324(f326(x90442),f560(x90441,x90444,x90443,x90442)),x90444)) % 194.45/194.28 [9045]P59(x90452,x90453,x90454,x90451)+E(x90451,f189(f928(x90452,a916)))+~P1(f324(f61(x90452),x90454))+~P1(f324(f61(x90452),x90451))+P1(f324(f324(f326(x90452),f829(x90451,x90454,x90453,x90452)),x90454)) % 194.45/194.28 [9120]E(x91201,x91202)+~E(f324(f324(f79(a1),x91202),x91204),x91201)+~P1(f324(f324(f235(a1),f2(a1)),x91204))+~P1(f324(f324(f326(a1),x91201),x91203))+P1(f324(f324(f326(a1),f480(x91203,x91201,x91204,x91202)),f300(a1,f77(a1),x91204))) % 194.45/194.28 [9121]E(x91211,x91212)+~E(f324(f324(f3(a1),x91212),x91214),x91211)+~P1(f324(f324(f235(a1),f2(a1)),x91214))+~P1(f324(f324(f326(a1),x91211),x91213))+P1(f324(f324(f326(a1),f482(x91213,x91211,x91214,x91212)),f300(a1,f77(a1),x91214))) % 194.45/194.28 [9197]P1(f324(f324(f234(a920),x91971),f404(x91972,x91973,x91974,x91971)))+~P1(f324(f324(f234(a1),x91972),f324(x91973,x91974)))+P1(f324(f324(f234(a920),x91971),f405(x91972,x91973,x91974,x91971)))+~P1(f324(f324(f235(a920),x91971),x91974))+~P1(f324(f324(f234(a1),f324(x91973,x91971)),x91972)) % 194.45/194.28 [9320]E(f324(x93201,f404(x93202,x93201,x93203,x93204)),x93202)+~P1(f324(f324(f234(a1),x93202),f324(x93201,x93203)))+P1(f324(f324(f235(a920),f405(x93202,x93201,x93203,x93204)),x93203))+~P1(f324(f324(f235(a920),x93204),x93203))+~P1(f324(f324(f234(a1),f324(x93201,x93204)),x93202)) % 194.45/194.28 [9452]~P1(f324(f324(f234(a1),x94522),f324(x94523,x94524)))+P1(f324(f324(f234(a920),x94521),f405(x94522,x94523,x94524,x94521)))+P1(f324(f324(f234(a920),f404(x94522,x94523,x94524,x94521)),x94524))+~P1(f324(f324(f235(a920),x94521),x94524))+~P1(f324(f324(f234(a1),f324(x94523,x94521)),x94522)) % 194.45/194.28 [9453]~P1(f324(f324(f234(a1),x94532),f324(x94533,x94534)))+P1(f324(f324(f234(a920),x94531),f404(x94532,x94533,x94534,x94531)))+P1(f324(f324(f235(a920),f405(x94532,x94533,x94534,x94531)),x94534))+~P1(f324(f324(f235(a920),x94531),x94534))+~P1(f324(f324(f234(a1),f324(x94533,x94531)),x94532)) % 194.45/194.28 [9563]~P1(f324(f324(f234(a1),x95631),f324(x95632,x95633)))+P1(f324(f324(f235(a920),f405(x95631,x95632,x95633,x95634)),x95633))+~P1(f324(f324(f235(a920),x95634),x95633))+~P1(f324(f324(f234(a1),f324(x95632,x95634)),x95631))+P1(f324(f324(f234(a920),f404(x95631,x95632,x95633,x95634)),x95633)) % 194.45/194.28 [9650]E(x96501,f189(f928(x96502,a916)))+~P1(f324(f61(x96502),x96504))+~P1(f324(f61(x96502),x96501))+P1(f324(f324(f326(f927(f928(x96502,a916),f928(x96502,a916))),f324(f324(f252(f928(x96502,a916),f928(x96502,a916)),x96504),x96501)),f316(x96502,x96503)))+P1(f324(f324(f326(x96502),f562(x96503,x96501,x96504,x96502)),x96504)) % 194.45/194.28 [9651]E(x96511,f189(f928(x96512,a916)))+~P1(f324(f61(x96512),x96514))+~P1(f324(f61(x96512),x96511))+P1(f324(f324(f326(f927(f928(x96512,a916),f928(x96512,a916))),f324(f324(f252(f928(x96512,a916),f928(x96512,a916)),x96514),x96511)),f316(x96512,x96513)))+P1(f324(f324(f326(x96512),f638(x96513,x96511,x96514,x96512)),x96514)) % 194.45/194.28 [10312]E(f324(x103121,f404(x103122,x103121,x103123,x103124)),x103122)+~P1(f324(f324(f234(a1),x103122),f324(x103121,x103123)))+~P1(f324(f324(f234(a1),f324(f75(a1),f324(f324(f3(a1),f324(x103121,f324(f324(f79(a920),f405(x103122,x103121,x103123,x103124)),f77(a920)))),f324(x103121,f405(x103122,x103121,x103123,x103124))))),f77(a1)))+~P1(f324(f324(f235(a920),x103124),x103123))+~P1(f324(f324(f234(a1),f324(x103121,x103124)),x103122)) % 194.45/194.28 [10313]~P1(f324(f324(f234(a1),x103132),f324(x103133,x103134)))+P1(f324(f324(f234(a920),x103131),f404(x103132,x103133,x103134,x103131)))+~P1(f324(f324(f234(a1),f324(f75(a1),f324(f324(f3(a1),f324(x103133,f324(f324(f79(a920),f405(x103132,x103133,x103134,x103131)),f77(a920)))),f324(x103133,f405(x103132,x103133,x103134,x103131))))),f77(a1)))+~P1(f324(f324(f235(a920),x103131),x103134))+~P1(f324(f324(f234(a1),f324(x103133,x103131)),x103132)) % 194.45/194.28 [10314]~P1(f324(f324(f234(a1),x103141),f324(x103142,x103143)))+~P1(f324(f324(f234(a1),f324(f75(a1),f324(f324(f3(a1),f324(x103142,f324(f324(f79(a920),f405(x103141,x103142,x103143,x103144)),f77(a920)))),f324(x103142,f405(x103141,x103142,x103143,x103144))))),f77(a1)))+~P1(f324(f324(f235(a920),x103144),x103143))+~P1(f324(f324(f234(a1),f324(x103142,x103144)),x103141))+P1(f324(f324(f234(a920),f404(x103141,x103142,x103143,x103144)),x103143)) % 194.45/194.28 [7359]~P72(x73591)+P1(f324(f324(f235(x73591),x73592),f2(x73591)))+~P1(f324(f324(f234(x73591),x73593),f2(x73591)))+P1(f324(f324(f235(x73591),f2(x73591)),x73592))+P1(f324(f324(f234(x73591),x73593),f324(f324(f287(x73591),x73594),x73592))) % 194.45/194.28 [7360]~P72(x73601)+P1(f324(f324(f235(x73601),x73602),f2(x73601)))+~P1(f324(f324(f235(x73601),x73603),f2(x73601)))+P1(f324(f324(f235(x73601),f2(x73601)),x73602))+P1(f324(f324(f235(x73601),x73603),f324(f324(f287(x73601),x73604),x73602))) % 194.45/194.28 [7619]~P72(x76191)+P1(f324(f324(f234(x76191),x76192),f2(x76191)))+P1(f324(f324(f235(x76191),x76193),f2(x76191)))+P1(f324(f324(f235(x76191),f2(x76191)),x76193))+~P1(f324(f324(f234(x76191),x76192),f324(f324(f287(x76191),x76194),x76193))) % 194.45/194.28 [7620]~P72(x76201)+P1(f324(f324(f235(x76201),x76202),f2(x76201)))+P1(f324(f324(f235(x76201),x76203),f2(x76201)))+P1(f324(f324(f235(x76201),f2(x76201)),x76203))+~P1(f324(f324(f235(x76201),x76202),f324(f324(f287(x76201),x76204),x76203))) % 194.45/194.28 [7735]E(x77351,x77352)+~E(f324(f324(f164(x77353),x77354),x77351),f324(f324(f164(x77353),x77354),x77352))+~P1(f324(f137(x77353),x77354))+~P1(f324(f324(f235(a920),x77352),f324(f190(f921(x77353)),x77354)))+~P1(f324(f324(f235(a920),x77351),f324(f190(f921(x77353)),x77354))) % 194.45/194.28 [8104]~P72(x81041)+~P1(f324(f324(f234(x81041),x81043),f2(x81041)))+P1(f324(f324(f235(x81041),f2(x81041)),x81042))+~P1(f324(f324(f234(x81041),x81044),f324(f324(f80(x81041),x81043),x81042)))+P1(f324(f324(f234(x81041),x81043),f324(f324(f287(x81041),x81044),x81042))) % 194.45/194.28 [8105]~P72(x81051)+~P1(f324(f324(f235(x81051),x81053),f2(x81051)))+P1(f324(f324(f235(x81051),f2(x81051)),x81052))+~P1(f324(f324(f235(x81051),x81054),f324(f324(f80(x81051),x81053),x81052)))+P1(f324(f324(f235(x81051),x81053),f324(f324(f287(x81051),x81054),x81052))) % 194.45/194.28 [8106]~P72(x81061)+~P1(f324(f324(f235(x81061),x81062),f2(x81061)))+P1(f324(f324(f235(x81061),f2(x81061)),x81062))+~P1(f324(f324(f234(x81061),x81064),f324(f324(f80(x81061),x81063),x81062)))+P1(f324(f324(f234(x81061),x81063),f324(f324(f287(x81061),x81064),x81062))) % 194.45/194.28 [8107]~P72(x81071)+~P1(f324(f324(f235(x81071),x81072),f2(x81071)))+P1(f324(f324(f235(x81071),f2(x81071)),x81072))+~P1(f324(f324(f234(x81071),x81074),f324(f324(f287(x81071),x81073),x81072)))+P1(f324(f324(f234(x81071),x81073),f324(f324(f80(x81071),x81074),x81072))) % 194.45/194.28 [8108]~P72(x81081)+~P1(f324(f324(f235(x81081),x81082),f2(x81081)))+P1(f324(f324(f235(x81081),f2(x81081)),x81082))+~P1(f324(f324(f235(x81081),x81084),f324(f324(f80(x81081),x81083),x81082)))+P1(f324(f324(f235(x81081),x81083),f324(f324(f287(x81081),x81084),x81082))) % 194.45/194.28 [8109]~P72(x81091)+~P1(f324(f324(f235(x81091),x81092),f2(x81091)))+P1(f324(f324(f235(x81091),f2(x81091)),x81092))+~P1(f324(f324(f235(x81091),x81094),f324(f324(f287(x81091),x81093),x81092)))+P1(f324(f324(f235(x81091),x81093),f324(f324(f80(x81091),x81094),x81092))) % 194.45/194.28 [8254]~P112(x82541)+~P10(x82541,x82542)+~P1(f324(f324(f234(a920),x82543),x82544))+P1(f324(f324(f234(x82541),f324(f324(f164(x82541),x82542),x82543)),f324(f324(f164(x82541),x82542),x82544)))+~P1(f324(f324(f235(a920),x82544),f324(f190(f921(x82541)),x82542))) % 194.45/194.28 [8303]~P129(x83031)+~P1(f324(f324(f234(x83031),x83032),f77(x83031)))+~P1(f324(f324(f234(x83031),f2(x83031)),x83032))+~P1(f324(f324(f234(a920),x83034),x83033))+P1(f324(f324(f234(x83031),f324(f324(f244(x83031),x83032),x83033)),f324(f324(f244(x83031),x83032),x83034))) % 194.45/194.28 [8304]~P129(x83041)+~P1(f324(f324(f235(x83041),x83042),f77(x83041)))+~P1(f324(f324(f235(x83041),f2(x83041)),x83042))+~P1(f324(f324(f235(a920),x83044),x83043))+P1(f324(f324(f235(x83041),f324(f324(f244(x83041),x83042),x83043)),f324(f324(f244(x83041),x83042),x83044))) % 194.45/194.28 [8305]~P129(x83051)+~P1(f324(f324(f234(x83051),f2(x83051)),x83052))+~P1(f324(f324(f235(a920),f2(a920)),x83053))+~P1(f324(f324(f235(x83051),x83052),x83054))+P1(f324(f324(f235(x83051),f324(f324(f244(x83051),x83052),x83053)),f324(f324(f244(x83051),x83054),x83053))) % 194.45/194.28 [8324]~P112(x83241)+~P10(x83241,f324(f168(x83241),x83242))+~P1(f324(f324(f234(a920),x83244),x83243))+P1(f324(f324(f234(x83241),f324(f324(f164(x83241),x83242),x83243)),f324(f324(f164(x83241),x83242),x83244)))+~P1(f324(f324(f235(a920),x83243),f324(f190(f921(x83241)),x83242))) % 194.45/194.28 [8569]~P72(x85691)+~P1(f324(f324(f234(x85691),x85692),f2(x85691)))+~P1(f324(f324(f234(x85691),x85693),x85694))+~P1(f324(f324(f235(x85691),f2(x85691)),f324(f324(f80(x85691),x85693),x85694)))+P1(f324(f324(f234(x85691),f324(f324(f287(x85691),x85692),x85693)),f324(f324(f287(x85691),x85692),x85694))) % 194.45/194.28 [8570]~P73(x85701)+~P1(f324(f324(f235(x85701),x85702),f2(x85701)))+~P1(f324(f324(f235(x85701),x85703),x85704))+~P1(f324(f324(f235(x85701),f2(x85701)),f324(f324(f80(x85701),x85703),x85704)))+P1(f324(f324(f235(x85701),f324(f324(f287(x85701),x85702),x85703)),f324(f324(f287(x85701),x85702),x85704))) % 194.45/194.28 [8579]~P73(x85791)+~P1(f324(f324(f234(x85791),x85794),x85793))+~P1(f324(f324(f234(x85791),f2(x85791)),x85792))+~P1(f324(f324(f235(x85791),f2(x85791)),f324(f324(f80(x85791),x85793),x85794)))+P1(f324(f324(f234(x85791),f324(f324(f287(x85791),x85792),x85793)),f324(f324(f287(x85791),x85792),x85794))) % 194.45/194.28 [8580]~P73(x85801)+~P1(f324(f324(f235(x85801),x85804),x85803))+~P1(f324(f324(f235(x85801),f2(x85801)),x85802))+~P1(f324(f324(f235(x85801),f2(x85801)),f324(f324(f80(x85801),x85803),x85804)))+P1(f324(f324(f235(x85801),f324(f324(f287(x85801),x85802),x85803)),f324(f324(f287(x85801),x85802),x85804))) % 194.45/194.28 [8684]P1(f324(x86841,x86842))+~P1(f324(f61(x86844),x86842))+P1(f324(x86841,f888(x86841,x86843,x86842,x86844)))+~P1(f324(x86841,f189(f928(x86844,a916))))+~P1(f324(f324(f234(f928(x86844,a916)),x86842),x86843)) % 194.45/194.28 [8693]P1(f324(x86931,x86932))+P1(f324(f61(x86933),f888(x86931,x86934,x86932,x86933)))+~P1(f324(f61(x86933),x86932))+~P1(f324(x86931,f189(f928(x86933,a916))))+~P1(f324(f324(f234(f928(x86933,a916)),x86932),x86934)) % 194.45/194.28 [8960]E(f324(f324(f79(a1),f485(x89601,x89602,x89603,x89604)),f486(x89601,x89602,x89603,x89604)),x89604)+~P1(f324(f324(f235(a1),f2(a1)),x89603))+~P1(f324(f324(f235(a1),x89602),x89604))+~P1(f324(f324(f326(a1),x89602),x89601))+P1(f324(f324(f235(a1),x89602),f324(f324(f3(a1),x89604),x89603))) % 194.45/194.28 [9176]~P1(f324(f324(f235(a1),f2(a1)),x91763))+~P1(f324(f324(f235(a1),x91762),x91764))+~P1(f324(f324(f326(a1),x91762),x91761))+P1(f324(f324(f326(a1),f485(x91761,x91762,x91763,x91764)),x91761))+P1(f324(f324(f235(a1),x91762),f324(f324(f3(a1),x91764),x91763))) % 194.45/194.28 [9190]P1(f324(x91901,x91902))+~P1(f324(f61(x91903),x91902))+P1(f324(f324(f326(x91903),f889(x91901,x91904,x91902,x91903)),x91904))+~P1(f324(x91901,f189(f928(x91903,a916))))+~P1(f324(f324(f234(f928(x91903,a916)),x91902),x91904)) % 194.45/194.28 [9207]E(f324(f324(f79(a1),f471(x92071,x92072,x92073,x92074)),f472(x92071,x92072,x92073,x92074)),x92074)+~P1(f324(f324(f235(a1),f2(a1)),x92073))+~P1(f324(f324(f234(a1),x92072),x92074))+P1(f324(f324(f234(a1),x92072),f324(f324(f3(a1),x92074),x92073)))+~P1(f324(f324(f326(a1),f324(f324(f3(a1),x92072),f77(a1))),x92071)) % 194.45/194.28 [9261]~P1(f324(f324(f235(a1),f2(a1)),x92613))+~P1(f324(f324(f235(a1),x92611),x92612))+~P1(f324(f324(f326(a1),x92611),x92614))+P1(f324(f324(f326(a1),f486(x92614,x92611,x92613,x92612)),f300(a1,f77(a1),x92613)))+P1(f324(f324(f235(a1),x92611),f324(f324(f3(a1),x92612),x92613))) % 194.45/194.28 [9293]~P77(x92932)+~E(f810(x92933,x92934,x92931,x92932),f808(x92933,x92934,x92931,x92932))+~P1(f324(f61(x92931),f809(x92933,x92934,x92931,x92932)))+E(f324(f324(f8(f928(x92931,a916),x92932),f324(f8(x92931,x92932),x92933)),x92934),f324(f324(f8(x92931,x92932),x92933),f37(f928(x92931,a916),x92934)))+~P1(f324(f61(f928(x92931,a916)),x92934)) % 194.45/194.28 [9298]~P77(x92982)+~E(f324(x92983,f811(x92983,x92984,x92981,x92982)),f2(x92982))+~P1(f324(f61(x92981),f809(x92983,x92984,x92981,x92982)))+E(f324(f324(f8(f928(x92981,a916),x92982),f324(f8(x92981,x92982),x92983)),x92984),f324(f324(f8(x92981,x92982),x92983),f37(f928(x92981,a916),x92984)))+~P1(f324(f61(f928(x92981,a916)),x92984)) % 194.45/194.28 [9368]~P1(f324(f324(f235(a1),f2(a1)),x93683))+~P1(f324(f324(f234(a1),x93682),x93684))+P1(f324(f324(f326(a1),f471(x93681,x93682,x93683,x93684)),x93681))+P1(f324(f324(f234(a1),x93682),f324(f324(f3(a1),x93684),x93683)))+~P1(f324(f324(f326(a1),f324(f324(f3(a1),x93682),f77(a1))),x93681)) % 194.45/194.28 [9410]~P1(f324(f324(f235(a1),f2(a1)),x94103))+~P1(f324(f324(f234(a1),x94101),x94102))+P1(f324(f324(f326(a1),f472(x94104,x94101,x94103,x94102)),f300(a1,f77(a1),x94103)))+P1(f324(f324(f234(a1),x94101),f324(f324(f3(a1),x94102),x94103)))+~P1(f324(f324(f326(a1),f324(f324(f3(a1),x94101),f77(a1))),x94104)) % 194.45/194.28 [9432]~P77(x94322)+~E(f810(x94323,x94324,x94321,x94322),f808(x94323,x94324,x94321,x94322))+E(f324(f324(f8(f928(x94321,a916),x94322),f324(f8(x94321,x94322),x94323)),x94324),f324(f324(f8(x94321,x94322),x94323),f37(f928(x94321,a916),x94324)))+P1(f324(f324(f326(f928(x94321,a916)),f809(x94323,x94324,x94321,x94322)),x94324))+~P1(f324(f61(f928(x94321,a916)),x94324)) % 194.45/194.28 [9437]~P77(x94372)+~E(f324(x94373,f811(x94373,x94374,x94371,x94372)),f2(x94372))+E(f324(f324(f8(f928(x94371,a916),x94372),f324(f8(x94371,x94372),x94373)),x94374),f324(f324(f8(x94371,x94372),x94373),f37(f928(x94371,a916),x94374)))+P1(f324(f324(f326(f928(x94371,a916)),f809(x94373,x94374,x94371,x94372)),x94374))+~P1(f324(f61(f928(x94371,a916)),x94374)) % 194.45/194.28 [9540]~P77(x95402)+~P1(f324(f61(x95401),f809(x95403,x95404,x95401,x95402)))+E(f324(f324(f8(f928(x95401,a916),x95402),f324(f8(x95401,x95402),x95403)),x95404),f324(f324(f8(x95401,x95402),x95403),f37(f928(x95401,a916),x95404)))+P1(f324(f324(f326(f928(x95401,a916)),f808(x95403,x95404,x95401,x95402)),x95404))+~P1(f324(f61(f928(x95401,a916)),x95404)) % 194.45/194.28 [9541]~P77(x95412)+~P1(f324(f61(x95411),f809(x95413,x95414,x95411,x95412)))+E(f324(f324(f8(f928(x95411,a916),x95412),f324(f8(x95411,x95412),x95413)),x95414),f324(f324(f8(x95411,x95412),x95413),f37(f928(x95411,a916),x95414)))+P1(f324(f324(f326(f928(x95411,a916)),f810(x95413,x95414,x95411,x95412)),x95414))+~P1(f324(f61(f928(x95411,a916)),x95414)) % 194.45/194.28 [9620]~P77(x96202)+E(f324(f324(f8(f928(x96201,a916),x96202),f324(f8(x96201,x96202),x96203)),x96204),f324(f324(f8(x96201,x96202),x96203),f37(f928(x96201,a916),x96204)))+P1(f324(f324(f326(f928(x96201,a916)),f809(x96203,x96204,x96201,x96202)),x96204))+P1(f324(f324(f326(f928(x96201,a916)),f808(x96203,x96204,x96201,x96202)),x96204))+~P1(f324(f61(f928(x96201,a916)),x96204)) % 194.45/194.28 [9621]~P77(x96212)+E(f324(f324(f8(f928(x96211,a916),x96212),f324(f8(x96211,x96212),x96213)),x96214),f324(f324(f8(x96211,x96212),x96213),f37(f928(x96211,a916),x96214)))+P1(f324(f324(f326(f928(x96211,a916)),f809(x96213,x96214,x96211,x96212)),x96214))+P1(f324(f324(f326(f928(x96211,a916)),f810(x96213,x96214,x96211,x96212)),x96214))+~P1(f324(f61(f928(x96211,a916)),x96214)) % 194.45/194.28 [9639]~P77(x96392)+P1(f324(f324(f326(x96391),f811(x96393,x96394,x96391,x96392)),f808(x96393,x96394,x96391,x96392)))+~P1(f324(f61(x96391),f809(x96393,x96394,x96391,x96392)))+E(f324(f324(f8(f928(x96391,a916),x96392),f324(f8(x96391,x96392),x96393)),x96394),f324(f324(f8(x96391,x96392),x96393),f37(f928(x96391,a916),x96394)))+~P1(f324(f61(f928(x96391,a916)),x96394)) % 194.45/194.28 [9640]~P77(x96402)+P1(f324(f324(f326(x96401),f811(x96403,x96404,x96401,x96402)),f810(x96403,x96404,x96401,x96402)))+~P1(f324(f61(x96401),f809(x96403,x96404,x96401,x96402)))+E(f324(f324(f8(f928(x96401,a916),x96402),f324(f8(x96401,x96402),x96403)),x96404),f324(f324(f8(x96401,x96402),x96403),f37(f928(x96401,a916),x96404)))+~P1(f324(f61(f928(x96401,a916)),x96404)) % 194.45/194.28 [9653]P1(f324(x96531,x96532))+~P1(f324(f324(f326(x96533),f889(x96531,x96534,x96532,x96533)),f888(x96531,x96534,x96532,x96533)))+~P1(f324(f61(x96533),x96532))+~P1(f324(x96531,f189(f928(x96533,a916))))+~P1(f324(f324(f234(f928(x96533,a916)),x96532),x96534)) % 194.45/194.28 [9691]~P77(x96912)+P1(f324(f324(f326(x96911),f811(x96913,x96914,x96911,x96912)),f808(x96913,x96914,x96911,x96912)))+E(f324(f324(f8(f928(x96911,a916),x96912),f324(f8(x96911,x96912),x96913)),x96914),f324(f324(f8(x96911,x96912),x96913),f37(f928(x96911,a916),x96914)))+P1(f324(f324(f326(f928(x96911,a916)),f809(x96913,x96914,x96911,x96912)),x96914))+~P1(f324(f61(f928(x96911,a916)),x96914)) % 194.45/194.28 [9692]~P77(x96922)+P1(f324(f324(f326(x96921),f811(x96923,x96924,x96921,x96922)),f810(x96923,x96924,x96921,x96922)))+E(f324(f324(f8(f928(x96921,a916),x96922),f324(f8(x96921,x96922),x96923)),x96924),f324(f324(f8(x96921,x96922),x96923),f37(f928(x96921,a916),x96924)))+P1(f324(f324(f326(f928(x96921,a916)),f809(x96923,x96924,x96921,x96922)),x96924))+~P1(f324(f61(f928(x96921,a916)),x96924)) % 194.45/194.28 [9869]P1(f324(x98691,x98692))+~P1(f324(f61(x98693),x98692))+~P1(f324(x98691,f324(f324(f306(x98693),f889(x98691,x98694,x98692,x98693)),f888(x98691,x98694,x98692,x98693))))+~P1(f324(x98691,f189(f928(x98693,a916))))+~P1(f324(f324(f234(f928(x98693,a916)),x98692),x98694)) % 194.45/194.28 [7868]~P72(x78681)+P1(f324(f324(f235(x78681),x78682),f2(x78681)))+~P1(f324(f324(f234(x78681),f2(x78681)),x78684))+P1(f324(f324(f235(x78681),f2(x78681)),x78682))+P1(f324(f324(f234(x78681),f324(f324(f287(x78681),x78683),x78682)),x78684)) % 194.45/194.28 [7869]~P72(x78691)+P1(f324(f324(f235(x78691),x78692),f2(x78691)))+P1(f324(f324(f235(x78691),f2(x78691)),x78692))+~P1(f324(f324(f235(x78691),f2(x78691)),x78694))+P1(f324(f324(f235(x78691),f324(f324(f287(x78691),x78693),x78692)),x78694)) % 194.45/194.28 [8091]~P2(x80911)+~P38(x80911,x80911,x80914)+~E(x80913,f98(x80911,x80914))+P1(f324(f324(f234(x80911),x80912),x80913))+~P1(f324(f324(f234(x80911),x80912),f324(x80914,f324(f324(f112(x80911),x80912),x80913)))) % 194.45/194.28 [8159]~P1(f324(f324(f234(a1),x81594),f2(a1)))+~E(x81592,f324(f324(f79(a1),f324(f324(f80(a1),x81591),x81593)),x81594))+P1(f324(f324(f235(a1),f2(a1)),x81591))+~P1(f324(f324(f235(a1),x81591),x81594))+P1(f324(f49(x81592,x81591),f324(f324(f252(a1,a1),x81593),x81594))) % 194.45/194.28 [8193]~P1(f324(x81931,x81934))+P1(f324(x81931,f381(x81932,x81931,x81933)))+~P1(f324(f324(f234(a1),f2(a1)),x81932))+~P1(f324(f324(f235(a1),f2(a1)),x81933))+P1(f324(x81931,f324(f324(f3(a1),x81934),f324(f324(f80(a1),x81932),x81933)))) % 194.45/194.28 [8194]~P1(f324(x81941,x81944))+P1(f324(x81941,f382(x81942,x81941,x81943)))+~P1(f324(f324(f234(a1),f2(a1)),x81942))+~P1(f324(f324(f235(a1),f2(a1)),x81943))+P1(f324(x81941,f324(f324(f79(a1),x81944),f324(f324(f80(a1),x81942),x81943)))) % 194.45/194.28 [8195]~P72(x81951)+P1(f324(f324(f235(x81951),x81952),f2(x81951)))+P1(f324(f324(f235(x81951),f2(x81951)),x81952))+P1(f324(f324(f234(x81951),f2(x81951)),x81953))+~P1(f324(f324(f234(x81951),f324(f324(f287(x81951),x81954),x81952)),x81953)) % 194.45/194.28 [8196]~P72(x81961)+P1(f324(f324(f235(x81961),x81962),f2(x81961)))+P1(f324(f324(f235(x81961),f2(x81961)),x81962))+P1(f324(f324(f235(x81961),f2(x81961)),x81963))+~P1(f324(f324(f235(x81961),f324(f324(f287(x81961),x81964),x81962)),x81963)) % 194.45/194.28 [8249]~E(x82491,f324(f324(f79(a1),f324(f324(f80(a1),x82492),x82493)),x82494))+~P1(f324(f324(f234(a1),f2(a1)),x82494))+~P1(f324(f324(f235(a1),f2(a1)),x82492))+~P1(f324(f324(f235(a1),x82494),x82492))+P1(f324(f49(x82491,x82492),f324(f324(f252(a1,a1),x82493),x82494))) % 194.45/194.28 [8363]~P72(x83631)+P1(f324(f324(f235(x83631),x83632),f2(x83631)))+~P1(f324(f324(f234(x83631),f2(x83631)),x83634))+~P1(f324(f324(f234(x83631),x83633),f324(f324(f80(x83631),x83634),x83632)))+P1(f324(f324(f234(x83631),f324(f324(f287(x83631),x83633),x83632)),x83634)) % 194.45/194.28 [8364]~P72(x83641)+P1(f324(f324(f235(x83641),x83642),f2(x83641)))+~P1(f324(f324(f235(x83641),f2(x83641)),x83644))+~P1(f324(f324(f235(x83641),x83643),f324(f324(f80(x83641),x83644),x83642)))+P1(f324(f324(f235(x83641),f324(f324(f287(x83641),x83643),x83642)),x83644)) % 194.45/194.28 [8448]~P72(x84481)+P1(f324(f324(f235(x84481),x84482),f2(x84481)))+~P1(f324(f324(f234(x84481),x84483),f2(x84481)))+P1(f324(f324(f234(x84481),x84483),f324(f324(f287(x84481),x84484),x84482)))+~P1(f324(f324(f234(x84481),f324(f324(f80(x84481),x84483),x84482)),x84484)) % 194.45/194.28 [8449]~P72(x84491)+P1(f324(f324(f235(x84491),x84492),f2(x84491)))+~P1(f324(f324(f235(x84491),x84493),f2(x84491)))+P1(f324(f324(f235(x84491),x84493),f324(f324(f287(x84491),x84494),x84492)))+~P1(f324(f324(f235(x84491),f324(f324(f80(x84491),x84493),x84492)),x84494)) % 194.45/194.28 [8603]~P72(x86031)+~P1(f324(f324(f235(x86031),x86032),f2(x86031)))+P1(f324(f324(f235(x86031),f2(x86031)),x86032))+~P1(f324(f324(f234(x86031),f324(f324(f287(x86031),x86034),x86032)),x86033))+P1(f324(f324(f234(x86031),f324(f324(f80(x86031),x86033),x86032)),x86034)) % 194.45/194.28 [8604]~P72(x86041)+~P1(f324(f324(f235(x86041),x86042),f2(x86041)))+P1(f324(f324(f235(x86041),f2(x86041)),x86042))+~P1(f324(f324(f234(x86041),f324(f324(f80(x86041),x86044),x86042)),x86043))+P1(f324(f324(f234(x86041),f324(f324(f287(x86041),x86043),x86042)),x86044)) % 194.45/194.28 [8605]~P72(x86051)+~P1(f324(f324(f235(x86051),x86052),f2(x86051)))+P1(f324(f324(f235(x86051),f2(x86051)),x86052))+~P1(f324(f324(f235(x86051),f324(f324(f287(x86051),x86054),x86052)),x86053))+P1(f324(f324(f235(x86051),f324(f324(f80(x86051),x86053),x86052)),x86054)) % 194.45/194.28 [8606]~P72(x86061)+~P1(f324(f324(f235(x86061),x86062),f2(x86061)))+P1(f324(f324(f235(x86061),f2(x86061)),x86062))+~P1(f324(f324(f235(x86061),f324(f324(f80(x86061),x86064),x86062)),x86063))+P1(f324(f324(f235(x86061),f324(f324(f287(x86061),x86063),x86062)),x86064)) % 194.45/194.28 [8622]~P72(x86221)+~P1(f324(f324(f234(x86221),f2(x86221)),x86224))+P1(f324(f324(f235(x86221),f2(x86221)),x86222))+~P1(f324(f324(f234(x86221),f324(f324(f80(x86221),x86224),x86222)),x86223))+P1(f324(f324(f234(x86221),f324(f324(f287(x86221),x86223),x86222)),x86224)) % 194.45/194.28 [8623]~P72(x86231)+~P1(f324(f324(f235(x86231),f2(x86231)),x86234))+P1(f324(f324(f235(x86231),f2(x86231)),x86232))+~P1(f324(f324(f235(x86231),f324(f324(f80(x86231),x86234),x86232)),x86233))+P1(f324(f324(f235(x86231),f324(f324(f287(x86231),x86233),x86232)),x86234)) % 194.45/194.28 [8701]~P72(x87011)+~P1(f324(f324(f235(x87011),x87014),f2(x87011)))+~P1(f324(f324(f234(x87011),x87013),f324(f324(f80(x87011),x87012),x87014)))+P1(f324(f324(f234(x87011),x87012),f324(f324(f287(x87011),x87013),x87014)))+~P1(f324(f324(f234(x87011),f324(f324(f80(x87011),x87012),x87014)),x87013)) % 194.45/194.28 [8702]~P72(x87021)+~P1(f324(f324(f234(x87021),x87022),f2(x87021)))+~P1(f324(f324(f234(x87021),x87023),f324(f324(f80(x87021),x87022),x87024)))+P1(f324(f324(f234(x87021),x87022),f324(f324(f287(x87021),x87023),x87024)))+~P1(f324(f324(f234(x87021),f324(f324(f80(x87021),x87022),x87024)),x87023)) % 194.45/194.28 [8703]~P72(x87031)+~P1(f324(f324(f235(x87031),x87034),f2(x87031)))+~P1(f324(f324(f235(x87031),x87033),f324(f324(f80(x87031),x87032),x87034)))+P1(f324(f324(f235(x87031),x87032),f324(f324(f287(x87031),x87033),x87034)))+~P1(f324(f324(f235(x87031),f324(f324(f80(x87031),x87032),x87034)),x87033)) % 194.45/194.28 [8704]~P72(x87041)+~P1(f324(f324(f235(x87041),x87042),f2(x87041)))+~P1(f324(f324(f235(x87041),x87043),f324(f324(f80(x87041),x87042),x87044)))+P1(f324(f324(f235(x87041),x87042),f324(f324(f287(x87041),x87043),x87044)))+~P1(f324(f324(f235(x87041),f324(f324(f80(x87041),x87042),x87044)),x87043)) % 194.45/194.28 [8825]~P72(x88251)+~P1(f324(f324(f235(x88251),x88253),f2(x88251)))+~P1(f324(f324(f234(x88251),x88252),f324(f324(f80(x88251),x88254),x88253)))+~P1(f324(f324(f234(x88251),f324(f324(f80(x88251),x88254),x88253)),x88252))+P1(f324(f324(f234(x88251),f324(f324(f287(x88251),x88252),x88253)),x88254)) % 194.45/194.28 [8826]~P72(x88261)+~P1(f324(f324(f235(x88261),x88263),f2(x88261)))+~P1(f324(f324(f235(x88261),x88262),f324(f324(f80(x88261),x88264),x88263)))+~P1(f324(f324(f235(x88261),f324(f324(f80(x88261),x88264),x88263)),x88262))+P1(f324(f324(f235(x88261),f324(f324(f287(x88261),x88262),x88263)),x88264)) % 194.45/194.28 [8843]~P72(x88431)+~P1(f324(f324(f234(x88431),f2(x88431)),x88434))+~P1(f324(f324(f234(x88431),x88432),f324(f324(f80(x88431),x88434),x88433)))+~P1(f324(f324(f234(x88431),f324(f324(f80(x88431),x88434),x88433)),x88432))+P1(f324(f324(f234(x88431),f324(f324(f287(x88431),x88432),x88433)),x88434)) % 194.45/194.28 [8844]~P72(x88441)+~P1(f324(f324(f235(x88441),f2(x88441)),x88444))+~P1(f324(f324(f235(x88441),x88442),f324(f324(f80(x88441),x88444),x88443)))+~P1(f324(f324(f235(x88441),f324(f324(f80(x88441),x88444),x88443)),x88442))+P1(f324(f324(f235(x88441),f324(f324(f287(x88441),x88442),x88443)),x88444)) % 194.45/194.28 [9028]E(f324(f324(f3(a1),f487(x90281,x90282,x90283,x90284)),f488(x90281,x90282,x90283,x90284)),x90284)+~P1(f324(f324(f235(a1),f2(a1)),x90283))+~P1(f324(f324(f326(a1),x90282),x90281))+~P1(f324(f324(f235(a1),x90284),x90282))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x90284),x90283)),x90282)) % 194.45/194.28 [9101]~P1(f324(x91011,x91012))+~P1(f324(f324(f234(a1),f2(a1)),x91013))+~P1(f324(f324(f235(a1),f2(a1)),x91014))+~P1(f324(x91011,f324(f324(f3(a1),f381(x91013,x91011,x91014)),x91014)))+P1(f324(x91011,f324(f324(f3(a1),x91012),f324(f324(f80(a1),x91013),x91014)))) % 194.45/194.28 [9102]~P1(f324(x91021,x91022))+~P1(f324(f324(f234(a1),f2(a1)),x91023))+~P1(f324(f324(f235(a1),f2(a1)),x91024))+~P1(f324(x91021,f324(f324(f79(a1),f382(x91023,x91021,x91024)),x91024)))+P1(f324(x91021,f324(f324(f79(a1),x91022),f324(f324(f80(a1),x91023),x91024)))) % 194.45/194.28 [9255]~P1(f324(f324(f235(a1),f2(a1)),x92553))+~P1(f324(f324(f326(a1),x92552),x92551))+~P1(f324(f324(f235(a1),x92554),x92552))+P1(f324(f324(f326(a1),f487(x92551,x92552,x92553,x92554)),x92551))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x92554),x92553)),x92552)) % 194.45/194.28 [9274]E(f324(f324(f3(a1),f473(x92741,x92742,x92743,x92744)),f474(x92741,x92742,x92743,x92744)),x92744)+~P1(f324(f324(f235(a1),f2(a1)),x92743))+~P1(f324(f324(f234(a1),x92744),x92742))+~P1(f324(f324(f326(a1),f324(f324(f79(a1),x92742),f77(a1))),x92741))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x92744),x92743)),x92742)) % 194.45/194.28 [9310]~P1(f324(f324(f235(a1),f2(a1)),x93102))+~P1(f324(f324(f326(a1),x93103),x93104))+~P1(f324(f324(f235(a1),x93101),x93103))+P1(f324(f324(f326(a1),f488(x93104,x93103,x93102,x93101)),f300(a1,f77(a1),x93102)))+P1(f324(f324(f235(a1),f324(f324(f79(a1),x93101),x93102)),x93103)) % 194.45/194.28 [9402]~P1(f324(f324(f235(a1),f2(a1)),x94023))+~P1(f324(f324(f234(a1),x94024),x94022))+P1(f324(f324(f326(a1),f473(x94021,x94022,x94023,x94024)),x94021))+~P1(f324(f324(f326(a1),f324(f324(f79(a1),x94022),f77(a1))),x94021))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x94024),x94023)),x94022)) % 194.45/194.28 [9448]~P1(f324(f324(f235(a1),f2(a1)),x94482))+~P1(f324(f324(f234(a1),x94481),x94483))+P1(f324(f324(f326(a1),f474(x94484,x94483,x94482,x94481)),f300(a1,f77(a1),x94482)))+~P1(f324(f324(f326(a1),f324(f324(f79(a1),x94483),f77(a1))),x94484))+P1(f324(f324(f234(a1),f324(f324(f79(a1),x94481),x94482)),x94483)) % 194.45/194.28 [9745]~P35(x97451,x97453)+~P24(x97451,x97454)+P35(x97451,f324(f324(f112(f928(f927(x97451,x97451),a916)),x97452),x97453))+~P1(f324(f324(f234(f928(f927(x97451,x97451),a916)),x97452),f324(f251(f928(f927(x97451,x97451),a916),f928(f927(x97451,x97451),a916)),x97454)))+~P1(f324(f324(f234(f928(f927(x97451,x97451),a916)),x97453),f324(f256(f928(f927(x97451,x97451),a916),f928(f927(x97451,x97451),a916)),x97454))) % 194.45/194.28 [10128]~P16(x101282,x101284,x101283)+E(x101281,f189(f928(x101282,a916)))+~P1(f324(f61(x101282),x101281))+P1(f324(f324(f326(x101282),f324(x101283,x101281)),x101281))+~P1(f324(f324(f326(x101282),f324(f324(x101284,f873(x101281,x101283,x101284,x101282)),f874(x101281,x101283,x101284,x101282))),f324(f324(f306(x101282),f873(x101281,x101283,x101284,x101282)),f324(f324(f306(x101282),f874(x101281,x101283,x101284,x101282)),f189(f928(x101282,a916)))))) % 194.45/194.28 [8729]~P2(x87291)+~P38(x87291,x87291,x87294)+~E(x87292,f97(x87291,x87294))+P1(f324(f324(f234(x87291),x87292),x87293))+~P1(f324(f324(f234(x87291),f324(x87294,f324(f324(f103(x87291),x87292),x87293))),x87293)) % 194.45/194.28 [10062]~P113(x100622)+~P69(x100621)+~P1(f324(f324(f234(f928(x100621,x100622)),x100623),x100624))+P1(f324(f324(f235(f928(x100621,x100622)),x100623),x100624))+~P1(f324(f56(x100621),f324(f324(f10(a916,a916,x100621),a319),f324(f324(f20(x100621,x100622,a916),f324(f324(f10(x100622,f928(x100622,a916),x100621),a321),x100623)),x100624)))) % 194.45/194.28 [5268]~P49(x52684,x52685,x52683)+E(x52681,x52682)+~P112(x52684)+~P113(x52685)+~E(f324(x52683,x52681),f324(x52683,x52682)) % 194.45/194.28 [9659]~P55(x96591,x96591,x96594)+P1(f324(f324(f326(f927(x96591,x96591)),f324(f324(f252(x96591,x96591),x96592),x96593)),f304(x96591,x96594)))+P1(f324(f324(f326(f927(x96591,x96591)),f324(f324(f252(x96591,x96591),x96593),x96592)),f304(x96591,x96594)))+~P1(f324(f324(f326(f927(x96591,x96591)),f324(f324(f252(x96591,x96591),x96595),x96592)),f304(x96591,x96594)))+~P1(f324(f324(f326(f927(x96591,x96591)),f324(f324(f252(x96591,x96591),x96595),x96593)),f304(x96591,x96594))) % 194.45/194.28 [5759]E(x57591,f2(a920))+~E(f324(f35(x57592),x57595),x57591)+E(f324(f35(x57592),x57593),f324(a114,x57591))+~E(x57593,f324(f324(f306(x57592),x57594),x57595))+P1(f324(f324(f326(x57592),x57594),x57595)) % 194.45/194.28 [5882]~P71(x58822)+E(x58821,f2(x58822))+E(x58823,f2(x58822))+~E(f324(f324(f287(x58822),x58824),x58823),f324(f324(f287(x58822),x58825),x58821))+E(f324(f324(f80(x58822),x58824),x58821),f324(f324(f80(x58822),x58825),x58823)) % 194.45/194.28 [5883]~P71(x58832)+E(x58831,f2(x58832))+E(x58833,f2(x58832))+~E(f324(f324(f80(x58832),x58834),x58833),f324(f324(f80(x58832),x58835),x58831))+E(f324(f324(f287(x58832),x58834),x58831),f324(f324(f287(x58832),x58835),x58833)) % 194.45/194.28 [5950]~E(f324(f35(x59501),x59505),x59503)+~E(x59505,f189(f928(x59501,a916)))+E(f324(f35(x59501),x59502),f324(a114,x59503))+~E(x59502,f324(f324(f306(x59501),x59504),x59505))+P1(f324(f324(f326(x59501),x59504),x59505)) % 194.45/194.28 [6188]~P121(x61882)+~E(f324(x61883,x61885),f2(x61882))+E(f324(f324(f11(x61881,x61882),x61883),x61884),f2(x61882))+~P1(f324(f61(x61881),x61884))+~P1(f324(f324(f326(x61881),x61885),x61884)) % 194.45/194.28 [6564]~P112(x65643)+E(x65641,x65642)+~E(f324(f299(x65643,x65644),x65641),f324(f299(x65643,x65645),x65642))+~P1(f324(f324(f235(x65643),x65645),x65642))+~P1(f324(f324(f235(x65643),x65644),x65641)) % 194.45/194.28 [6565]~P112(x65653)+E(x65651,x65652)+~E(f324(f299(x65653,x65651),x65654),f324(f299(x65653,x65652),x65655))+~P1(f324(f324(f235(x65653),x65652),x65655))+~P1(f324(f324(f235(x65653),x65651),x65654)) % 194.45/194.28 [6727]~P113(x67271)+~P49(x67275,x67271,x67272)+~P112(x67275)+P1(f324(f324(f234(x67271),f324(x67272,x67273)),f324(x67272,x67274)))+~P1(f324(f324(f234(x67275),x67273),x67274)) % 194.45/194.28 [6728]~P113(x67281)+~P38(x67285,x67281,x67282)+~P113(x67285)+P1(f324(f324(f234(x67281),f324(x67282,x67283)),f324(x67282,x67284)))+~P1(f324(f324(f234(x67285),x67283),x67284)) % 194.45/194.28 [6729]~P113(x67291)+~P49(x67295,x67291,x67292)+~P112(x67295)+P1(f324(f324(f235(x67291),f324(x67292,x67293)),f324(x67292,x67294)))+~P1(f324(f324(f235(x67295),x67293),x67294)) % 194.45/194.28 [6730]~P113(x67301)+~P49(x67305,x67301,x67302)+~P113(x67305)+P1(f324(f324(f235(x67301),f324(x67302,x67303)),f324(x67302,x67304)))+~P1(f324(f324(f235(x67305),x67303),x67304)) % 194.45/194.28 [6976]~P112(x69761)+~P49(x69761,x69764,x69765)+~P113(x69764)+~P1(f324(f324(f234(x69764),f324(x69765,x69762)),f324(x69765,x69763)))+P1(f324(f324(f234(x69761),x69762),x69763)) % 194.45/194.28 [6977]~P112(x69771)+~P49(x69771,x69774,x69775)+~P113(x69774)+~P1(f324(f324(f235(x69774),f324(x69775,x69772)),f324(x69775,x69773)))+P1(f324(f324(f235(x69771),x69772),x69773)) % 194.45/194.28 [7636]~P112(x76361)+~P10(x76361,f324(f324(f134(x76361),x76364),x76365))+~P1(f324(f324(f326(x76361),x76363),f324(f172(x76361),x76365)))+~P1(f324(f324(f326(x76361),x76362),f324(f172(x76361),x76364)))+P1(f324(f324(f234(x76361),x76362),x76363)) % 194.45/194.28 [8738]~P113(x87381)+~P1(f324(f324(f235(f928(x87381,a916)),f300(x87381,x87385,x87382)),f300(x87381,x87384,x87383)))+~P1(f324(f324(f234(x87381),x87385),x87382))+P1(f324(f324(f235(x87381),x87382),x87383))+P1(f324(f324(f235(x87381),x87384),x87385)) % 194.45/194.28 [9781]~P38(f928(x97814,a916),f928(x97814,a916),x97815)+P1(f324(x97811,x97812))+~E(x97813,f97(f928(x97814,a916),x97815))+~P1(f324(x97811,f589(x97811,x97812,x97815,x97814,x97813)))+~P1(f324(f324(f326(x97814),x97812),x97813)) % 194.45/194.28 [10171]~P15(x101712,x101715,x101713)+E(x101711,f189(f928(x101712,a916)))+~E(f324(f324(x101715,f324(x101714,f564(x101711,x101714,x101713,x101715,x101712))),f324(x101714,f565(x101711,x101714,x101713,x101715,x101712))),f324(x101714,f324(f324(x101715,f564(x101711,x101714,x101713,x101715,x101712)),f565(x101711,x101714,x101713,x101715,x101712))))+E(f324(x101713,f324(f307(x101712,x101712,x101714),x101711)),f324(x101714,f324(x101713,x101711)))+~P1(f324(f61(x101712),x101711)) % 194.45/194.28 [6561]~P16(x65612,x65615,x65613)+E(x65611,f189(f928(x65612,a916)))+~P1(f324(f61(x65612),x65611))+E(f324(x65613,f324(f324(f306(x65612),x65614),x65611)),f324(f324(x65615,x65614),f324(x65613,x65611)))+P1(f324(f324(f326(x65612),x65614),x65611)) % 194.45/194.28 [7387]~P15(x73872,x73873,x73874)+E(f324(f324(x73873,f324(x73874,x73871)),f324(x73874,x73875)),f324(x73874,x73875))+E(x73871,f189(f928(x73872,a916)))+~P1(f324(f61(x73872),x73875))+~P1(f324(f324(f234(f928(x73872,a916)),x73871),x73875)) % 194.45/194.28 [7768]~P16(x77684,x77685,x77681)+E(f324(x77681,x77682),x77683)+~P1(f324(f61(x77684),x77682))+~E(f324(f324(f3(f928(x77684,a916)),x77682),f324(f324(f306(x77684),x77683),f189(f928(x77684,a916)))),f189(f928(x77684,a916)))+~P1(f324(f324(f326(x77684),x77683),x77682)) % 194.45/194.28 [8708]E(x87081,x87082)+~P5(x87083,x87084,x87085)+E(f324(f324(f103(f928(x87083,a916)),x87081),x87082),f189(f928(x87083,a916)))+~P1(f324(f324(f326(f928(x87083,a916)),x87082),f324(f324(f60(x87083),x87084),x87085)))+~P1(f324(f324(f326(f928(x87083,a916)),x87081),f324(f324(f60(x87083),x87084),x87085))) % 194.45/194.28 [9533]~P77(x95332)+~E(f324(x95333,f352(x95333,x95334,x95335,x95331,x95332)),f2(x95332))+E(f324(f324(f8(x95331,x95332),x95333),x95334),f324(f324(f8(x95331,x95332),x95333),x95335))+~P1(f324(f61(x95331),x95335))+~P1(f324(f324(f234(f928(x95331,a916)),x95334),x95335)) % 194.45/194.28 [9534]~P77(x95342)+~E(f324(x95343,f356(x95343,x95344,x95345,x95341,x95342)),f2(x95342))+E(f324(f324(f8(x95341,x95342),x95343),x95344),f324(f324(f8(x95341,x95342),x95343),x95345))+~P1(f324(f61(x95341),x95345))+~P1(f324(f324(f234(f928(x95341,a916)),x95344),x95345)) % 194.45/194.28 [9535]~P81(x95352)+~E(f324(x95353,f353(x95353,x95354,x95355,x95351,x95352)),f77(x95352))+E(f324(f324(f11(x95351,x95352),x95353),x95354),f324(f324(f11(x95351,x95352),x95353),x95355))+~P1(f324(f61(x95351),x95355))+~P1(f324(f324(f234(f928(x95351,a916)),x95354),x95355)) % 194.45/194.28 [9536]~P81(x95362)+~E(f324(x95363,f354(x95363,x95364,x95365,x95361,x95362)),f77(x95362))+E(f324(f324(f11(x95361,x95362),x95363),x95364),f324(f324(f11(x95361,x95362),x95363),x95365))+~P1(f324(f61(x95361),x95365))+~P1(f324(f324(f234(f928(x95361,a916)),x95364),x95365)) % 194.45/194.28 [9959]~P38(f928(x99591,a916),f928(x99591,a916),f324(f324(f10(f928(x99591,a916),f928(x99591,a916),f928(x99591,a916)),f262(x99591)),x99594))+~P1(f324(f324(x99594,f324(f324(f112(f928(x99591,a916)),x99595),x99593)),f591(x99595,x99592,x99594,x99591,x99593)))+~E(x99593,f98(f928(x99591,a916),f324(f324(f10(f928(x99591,a916),f928(x99591,a916),f928(x99591,a916)),f262(x99591)),x99594)))+P1(f324(f324(f326(x99591),x99592),x99593))+~P1(f324(f324(f326(x99591),x99592),x99595)) % 194.45/194.28 [9964]~P38(f928(x99641,a916),f928(x99641,a916),f324(f324(f10(f928(x99641,a916),f928(x99641,a916),f928(x99641,a916)),f262(x99641)),x99645))+~E(x99643,f98(f928(x99641,a916),f324(f324(f10(f928(x99641,a916),f928(x99641,a916),f928(x99641,a916)),f262(x99641)),x99645)))+~P1(f324(f324(f326(x99641),x99642),x99644))+P1(f324(f324(f326(x99641),f591(x99644,x99642,x99645,x99641,x99643)),x99644))+P1(f324(f324(f326(x99641),x99642),x99643)) % 194.45/194.28 [10016]~P96(x100161)+~P1(f324(f61(x100162),x100165))+~P1(f324(f324(f234(x100161),f2(x100161)),f324(x100163,f343(x100163,x100164,x100165,x100162,x100161))))+P1(f324(f324(f234(x100161),f324(f324(f8(x100162,x100161),x100163),x100164)),f324(f324(f8(x100162,x100161),x100163),x100165)))+~P1(f324(f324(f234(f928(x100162,a916)),x100164),x100165)) % 194.45/194.28 [7633]E(x76331,f2(a920))+P1(f324(x76332,x76333))+~E(x76334,f324(f324(f79(a920),f324(f324(f80(a920),x76331),x76333)),x76335))+~P1(f324(f324(f235(a920),x76335),x76331))+~P1(f324(x76332,f324(f324(f36(a920),x76334),x76331))) % 194.45/194.28 [7708]E(x77081,f2(a920))+P1(f324(x77082,x77083))+~P1(f324(x77082,f45(a920,x77084,x77081)))+~E(x77084,f324(f324(f79(a920),f324(f324(f80(a920),x77081),x77085)),x77083))+~P1(f324(f324(f235(a920),x77083),x77081)) % 194.45/194.28 [8003]~P71(x80033)+E(f324(x80031,x80032),f2(x80033))+~P1(f324(f61(x80034),x80035))+E(f324(f324(f11(x80034,x80033),x80031),f324(f324(f3(f928(x80034,a916)),x80035),f324(f324(f306(x80034),x80032),f189(f928(x80034,a916))))),f324(f324(f11(x80034,x80033),x80031),x80035))+P1(f324(f324(f326(x80034),x80032),x80035)) % 194.45/194.28 [8403]~P77(x84031)+~P1(f324(f61(x84032),x84035))+~P1(f324(f61(x84032),x84034))+~E(f324(f324(f103(f928(x84032,a916)),x84034),x84035),f189(f928(x84032,a916)))+E(f324(f324(f79(x84031),f324(f324(f8(x84032,x84031),x84033),x84034)),f324(f324(f8(x84032,x84031),x84033),x84035)),f324(f324(f8(x84032,x84031),x84033),f324(f324(f112(f928(x84032,a916)),x84034),x84035))) % 194.45/194.28 [8405]~P81(x84051)+~P1(f324(f61(x84052),x84055))+~P1(f324(f61(x84052),x84054))+~E(f324(f324(f103(f928(x84052,a916)),x84054),x84055),f189(f928(x84052,a916)))+E(f324(f324(f80(x84051),f324(f324(f11(x84052,x84051),x84053),x84054)),f324(f324(f11(x84052,x84051),x84053),x84055)),f324(f324(f11(x84052,x84051),x84053),f324(f324(f112(f928(x84052,a916)),x84054),x84055))) % 194.45/194.28 [8504]~P71(x85043)+E(f324(x85041,x85042),f2(x85043))+~P1(f324(f61(x85044),x85045))+E(f324(f324(f11(x85044,x85043),x85041),f324(f324(f3(f928(x85044,a916)),x85045),f324(f324(f306(x85044),x85042),f189(f928(x85044,a916))))),f324(f324(f287(x85043),f324(f324(f11(x85044,x85043),x85041),x85045)),f324(x85041,x85042)))+~P1(f324(f324(f326(x85044),x85042),x85045)) % 194.45/194.28 [9232]~P5(x92321,x92325,x92324)+~E(f324(f324(f60(x92321),f324(f324(f306(x92321),x92322),f189(f928(x92321,a916)))),x92324),f324(f324(f60(x92321),f324(f324(f306(x92321),x92323),f189(f928(x92321,a916)))),x92324))+~P1(f324(f324(f326(x92321),x92323),x92325))+~P1(f324(f324(f326(x92321),x92322),x92325))+P1(f324(f324(f326(f927(x92321,x92321)),f324(f324(f252(x92321,x92321),x92322),x92323)),x92324)) % 194.45/194.28 [9254]~P5(x92541,x92545,x92543)+E(f324(f324(f60(x92541),f324(f324(f306(x92541),x92542),f189(f928(x92541,a916)))),x92543),f324(f324(f60(x92541),f324(f324(f306(x92541),x92544),f189(f928(x92541,a916)))),x92543))+~P1(f324(f324(f326(x92541),x92544),x92545))+~P1(f324(f324(f326(x92541),x92542),x92545))+~P1(f324(f324(f326(f927(x92541,x92541)),f324(f324(f252(x92541,x92541),x92542),x92544)),x92543)) % 194.45/194.28 [9562]~P81(x95621)+~P1(f324(f61(x95622),x95625))+~P1(f324(f61(x95622),x95624))+~E(f324(f324(f103(f928(x95622,a916)),x95624),x95625),f189(f928(x95622,a916)))+E(f324(f324(f80(x95621),f324(f324(f324(f65(x95621,x95622,f80(x95621)),x95623),f77(x95621)),x95624)),f324(f324(f324(f65(x95621,x95622,f80(x95621)),x95623),f77(x95621)),x95625)),f324(f324(f324(f65(x95621,x95622,f80(x95621)),x95623),f77(x95621)),f324(f324(f112(f928(x95622,a916)),x95624),x95625))) % 194.45/194.28 [9571]~P77(x95711)+~E(f324(x95713,f340(x95713,x95715,x95714,x95712,x95711)),f2(x95711))+~P1(f324(f61(x95712),x95714))+~P1(f324(f61(x95712),x95715))+E(f324(f324(f79(x95711),f324(f324(f8(x95712,x95711),x95713),x95714)),f324(f324(f8(x95712,x95711),x95713),x95715)),f324(f324(f8(x95712,x95711),x95713),f324(f324(f112(f928(x95712,a916)),x95714),x95715))) % 194.45/194.28 [9572]~P77(x95721)+~E(f324(x95723,f345(x95723,x95725,x95724,x95722,x95721)),f2(x95721))+~P1(f324(f61(x95722),x95724))+~P1(f324(f61(x95722),x95725))+E(f324(f324(f79(x95721),f324(f324(f8(x95722,x95721),x95723),x95724)),f324(f324(f8(x95722,x95721),x95723),x95725)),f324(f324(f8(x95722,x95721),x95723),f324(f324(f112(f928(x95722,a916)),x95724),x95725))) % 194.45/194.28 [9573]~P81(x95731)+~E(f324(x95733,f341(x95733,x95735,x95734,x95732,x95731)),f77(x95731))+~P1(f324(f61(x95732),x95734))+~P1(f324(f61(x95732),x95735))+E(f324(f324(f80(x95731),f324(f324(f11(x95732,x95731),x95733),x95734)),f324(f324(f11(x95732,x95731),x95733),x95735)),f324(f324(f11(x95732,x95731),x95733),f324(f324(f112(f928(x95732,a916)),x95734),x95735))) % 194.45/194.28 [9574]~P81(x95741)+~E(f324(x95743,f344(x95743,x95745,x95744,x95742,x95741)),f77(x95741))+~P1(f324(f61(x95742),x95744))+~P1(f324(f61(x95742),x95745))+E(f324(f324(f80(x95741),f324(f324(f11(x95742,x95741),x95743),x95744)),f324(f324(f11(x95742,x95741),x95743),x95745)),f324(f324(f11(x95742,x95741),x95743),f324(f324(f112(f928(x95742,a916)),x95744),x95745))) % 194.45/194.28 [9789]~P81(x97891)+~E(f324(x97893,f342(x97893,x97895,x97894,x97892,x97891)),f77(x97891))+~P1(f324(f61(x97892),x97894))+~P1(f324(f61(x97892),x97895))+E(f324(f324(f80(x97891),f324(f324(f324(f65(x97891,x97892,f80(x97891)),x97893),f77(x97891)),x97894)),f324(f324(f324(f65(x97891,x97892,f80(x97891)),x97893),f77(x97891)),x97895)),f324(f324(f324(f65(x97891,x97892,f80(x97891)),x97893),f77(x97891)),f324(f324(f112(f928(x97892,a916)),x97894),x97895))) % 194.45/194.28 [9900]~P77(x99002)+E(f324(f324(f8(x99001,x99002),x99003),x99004),f324(f324(f8(x99001,x99002),x99003),x99005))+~P1(f324(f61(x99001),x99005))+~P1(f324(f324(f234(f928(x99001,a916)),x99004),x99005))+P1(f324(f324(f326(x99001),f352(x99003,x99004,x99005,x99001,x99002)),f324(f324(f3(f928(x99001,a916)),x99005),x99004))) % 194.45/194.28 [9901]~P77(x99012)+E(f324(f324(f8(x99011,x99012),x99013),x99014),f324(f324(f8(x99011,x99012),x99013),x99015))+~P1(f324(f61(x99011),x99015))+~P1(f324(f324(f234(f928(x99011,a916)),x99014),x99015))+P1(f324(f324(f326(x99011),f356(x99013,x99014,x99015,x99011,x99012)),f324(f324(f3(f928(x99011,a916)),x99015),x99014))) % 194.45/194.28 [9902]~P81(x99022)+E(f324(f324(f11(x99021,x99022),x99023),x99024),f324(f324(f11(x99021,x99022),x99023),x99025))+~P1(f324(f61(x99021),x99025))+~P1(f324(f324(f234(f928(x99021,a916)),x99024),x99025))+P1(f324(f324(f326(x99021),f353(x99023,x99024,x99025,x99021,x99022)),f324(f324(f3(f928(x99021,a916)),x99025),x99024))) % 194.45/194.28 [9903]~P81(x99032)+E(f324(f324(f11(x99031,x99032),x99033),x99034),f324(f324(f11(x99031,x99032),x99033),x99035))+~P1(f324(f61(x99031),x99035))+~P1(f324(f324(f234(f928(x99031,a916)),x99034),x99035))+P1(f324(f324(f326(x99031),f354(x99033,x99034,x99035,x99031,x99032)),f324(f324(f3(f928(x99031,a916)),x99035),x99034))) % 194.45/194.28 [9921]~P77(x99211)+~P1(f324(f61(x99212),x99214))+~P1(f324(f61(x99212),x99215))+E(f324(f324(f79(x99211),f324(f324(f8(x99212,x99211),x99213),x99214)),f324(f324(f8(x99212,x99211),x99213),x99215)),f324(f324(f8(x99212,x99211),x99213),f324(f324(f112(f928(x99212,a916)),x99214),x99215)))+P1(f324(f324(f326(x99212),f340(x99213,x99215,x99214,x99212,x99211)),f324(f324(f103(f928(x99212,a916)),x99214),x99215))) % 194.45/194.28 [9922]~P77(x99221)+~P1(f324(f61(x99222),x99224))+~P1(f324(f61(x99222),x99225))+E(f324(f324(f79(x99221),f324(f324(f8(x99222,x99221),x99223),x99224)),f324(f324(f8(x99222,x99221),x99223),x99225)),f324(f324(f8(x99222,x99221),x99223),f324(f324(f112(f928(x99222,a916)),x99224),x99225)))+P1(f324(f324(f326(x99222),f345(x99223,x99225,x99224,x99222,x99221)),f324(f324(f103(f928(x99222,a916)),x99224),x99225))) % 194.45/194.28 [9923]~P81(x99231)+~P1(f324(f61(x99232),x99234))+~P1(f324(f61(x99232),x99235))+E(f324(f324(f80(x99231),f324(f324(f11(x99232,x99231),x99233),x99234)),f324(f324(f11(x99232,x99231),x99233),x99235)),f324(f324(f11(x99232,x99231),x99233),f324(f324(f112(f928(x99232,a916)),x99234),x99235)))+P1(f324(f324(f326(x99232),f341(x99233,x99235,x99234,x99232,x99231)),f324(f324(f103(f928(x99232,a916)),x99234),x99235))) % 194.45/194.28 [9924]~P81(x99241)+~P1(f324(f61(x99242),x99244))+~P1(f324(f61(x99242),x99245))+E(f324(f324(f80(x99241),f324(f324(f11(x99242,x99241),x99243),x99244)),f324(f324(f11(x99242,x99241),x99243),x99245)),f324(f324(f11(x99242,x99241),x99243),f324(f324(f112(f928(x99242,a916)),x99244),x99245)))+P1(f324(f324(f326(x99242),f344(x99243,x99245,x99244,x99242,x99241)),f324(f324(f103(f928(x99242,a916)),x99244),x99245))) % 194.45/194.28 [9927]~P38(f928(x99273,a916),f928(x99273,a916),x99274)+P1(f324(x99271,x99272))+~E(x99275,f97(f928(x99273,a916),x99274))+~P1(f324(f324(f326(x99273),x99272),x99275))+P1(f324(f324(f326(x99273),f589(x99271,x99272,x99274,x99273,x99275)),f324(x99274,f324(f324(f103(f928(x99273,a916)),x99275),f324(f262(x99273),x99271))))) % 194.45/194.28 [9931]~P96(x99315)+~P1(f324(f61(x99311),x99314))+P1(f324(f324(f234(x99315),f324(f324(f8(x99311,x99315),x99312),x99313)),f324(f324(f8(x99311,x99315),x99312),x99314)))+~P1(f324(f324(f234(f928(x99311,a916)),x99313),x99314))+P1(f324(f324(f326(x99311),f343(x99312,x99313,x99314,x99311,x99315)),f324(f324(f3(f928(x99311,a916)),x99314),x99313))) % 194.45/194.28 [9978]~P81(x99781)+~P1(f324(f61(x99782),x99784))+~P1(f324(f61(x99782),x99785))+E(f324(f324(f80(x99781),f324(f324(f324(f65(x99781,x99782,f80(x99781)),x99783),f77(x99781)),x99784)),f324(f324(f324(f65(x99781,x99782,f80(x99781)),x99783),f77(x99781)),x99785)),f324(f324(f324(f65(x99781,x99782,f80(x99781)),x99783),f77(x99781)),f324(f324(f112(f928(x99782,a916)),x99784),x99785)))+P1(f324(f324(f326(x99782),f342(x99783,x99785,x99784,x99782,x99781)),f324(f324(f103(f928(x99782,a916)),x99784),x99785))) % 194.45/194.28 [8915]~P16(x89151,x89154,x89155)+~P1(f324(f61(x89151),x89152))+E(f324(f324(f3(f928(x89151,a916)),x89152),f324(f324(f306(x89151),x89153),f189(f928(x89151,a916)))),f189(f928(x89151,a916)))+~P1(f324(f324(f326(x89151),x89153),x89152))+E(f324(f324(x89154,x89153),f324(x89155,f324(f324(f3(f928(x89151,a916)),x89152),f324(f324(f306(x89151),x89153),f189(f928(x89151,a916)))))),f324(x89155,x89152)) % 194.45/194.28 [8994]~P16(x89941,x89944,x89945)+~P1(f324(f61(x89941),x89943))+~P1(f324(f61(x89941),x89942))+E(f324(f324(f103(f928(x89941,a916)),x89942),x89943),f189(f928(x89941,a916)))+E(f324(f324(x89944,f324(x89945,f324(f324(f112(f928(x89941,a916)),x89942),x89943))),f324(x89945,f324(f324(f103(f928(x89941,a916)),x89942),x89943))),f324(f324(x89944,f324(x89945,x89942)),f324(x89945,x89943))) % 194.45/194.28 [9181]~P38(f928(x91811,a916),f928(x91811,a916),x91814)+~E(x91813,f98(f928(x91811,a916),x91814))+P1(f324(f324(f326(x91811),x91812),x91813))+~P1(f324(f324(f326(x91811),x91812),x91815))+~P1(f324(f324(f234(f928(x91811,a916)),x91815),f324(x91814,f324(f324(f112(f928(x91811,a916)),x91815),x91813)))) % 194.45/194.28 [9576]~P1(f324(f324(f234(a1),x95764),f2(a1)))+~P1(f324(f324(f235(a1),x95763),x95765))+P1(f324(f324(f234(a1),x95761),x95762))+~P1(f324(f324(f235(a1),x95763),x95764))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),f324(f324(f80(a1),x95763),x95762)),x95765)),f324(f324(f79(a1),f324(f324(f80(a1),x95763),x95761)),x95764))) % 194.45/194.28 [9578]~P1(f324(f324(f234(a1),f2(a1)),x95785))+P1(f324(f324(f234(a1),x95781),x95782))+~P1(f324(f324(f235(a1),x95783),x95784))+~P1(f324(f324(f235(a1),x95785),x95784))+~P1(f324(f324(f234(a1),f324(f324(f79(a1),f324(f324(f80(a1),x95784),x95781)),x95785)),f324(f324(f79(a1),f324(f324(f80(a1),x95784),x95782)),x95783))) % 194.45/194.28 [9697]~P71(x96975)+E(f324(x96971,f355(x96971,x96972,x96973,x96974,x96975)),f2(x96975))+~P1(f324(f61(x96974),x96973))+~P1(f324(f61(x96974),x96972))+E(f324(f324(f287(x96975),f324(f324(f80(x96975),f324(f324(f11(x96974,x96975),x96971),x96973)),f324(f324(f11(x96974,x96975),x96971),x96972))),f324(f324(f11(x96974,x96975),x96971),f324(f324(f103(f928(x96974,a916)),x96973),x96972))),f324(f324(f11(x96974,x96975),x96971),f324(f324(f112(f928(x96974,a916)),x96973),x96972))) % 194.45/194.28 [9970]~P71(x99701)+~P1(f324(f61(x99702),x99704))+~P1(f324(f61(x99702),x99705))+E(f324(f324(f287(x99701),f324(f324(f80(x99701),f324(f324(f11(x99702,x99701),x99703),x99704)),f324(f324(f11(x99702,x99701),x99703),x99705))),f324(f324(f11(x99702,x99701),x99703),f324(f324(f103(f928(x99702,a916)),x99704),x99705))),f324(f324(f11(x99702,x99701),x99703),f324(f324(f112(f928(x99702,a916)),x99704),x99705)))+P1(f324(f324(f326(x99702),f355(x99703,x99705,x99704,x99702,x99701)),f324(f324(f103(f928(x99702,a916)),x99704),x99705))) % 194.45/194.28 [9273]E(f324(f324(f134(x92731),x92732),x92733),f324(f324(f134(x92731),x92734),x92735))+~E(f324(f324(f175(x92731),f324(f190(f921(x92731)),x92734)),x92732),x92734)+~E(f324(f324(f175(x92731),f324(f190(f921(x92731)),x92732)),x92734),x92732)+~E(x92735,f324(f324(f134(x92731),f324(f324(f138(x92731),f324(f190(f921(x92731)),x92734)),x92732)),x92733))+~E(f324(f324(f134(x92731),f324(f324(f138(x92731),f324(f190(f921(x92731)),x92732)),x92734)),x92735),x92733) % 194.45/194.28 [9695]~P112(x96952)+E(f324(f324(f148(x96951,x96952,x96953),x96954),f170(x96951,x96954,x96955)),x96955)+~P10(x96952,f324(f324(f154(x96951,x96952),x96953),x96955))+~P1(f324(f324(f326(x96951),x96954),f324(f172(x96951),x96955)))+~E(f324(f141(x96951),f324(f136(x96951,f324(f324(f10(x96952,a916,x96951),f324(a321,f324(x96953,x96954))),x96953)),x96955)),x96954) % 194.45/194.28 [10034]~P75(x100341)+~P1(f324(f66(x100341,x100341,f80(x100341),x100342,x100343),x100345))+~P1(f324(f324(f326(x100341),x100344),x100343))+P1(f324(f324(f326(x100341),x100342),x100343))+P1(f324(f66(x100341,x100341,f80(x100341),x100344,f324(f324(f306(x100341),x100342),f324(f324(f3(f928(x100341,a916)),x100343),f324(f324(f306(x100341),x100344),f189(f928(x100341,a916)))))),x100345)) % 194.45/194.28 [10379]~P38(f928(x103791,a916),f928(x103791,a916),x103794)+~E(x103793,f98(f928(x103791,a916),x103794))+P1(f324(f324(f326(x103791),x103792),x103793))+~P1(f324(f324(f326(x103791),x103792),x103795))+~P1(f324(f324(f234(f928(x103791,a916)),x103795),f324(x103794,f97(f928(x103791,a916),f324(f324(f9(f928(x103791,a916),f928(x103791,a916),f928(x103791,a916)),f324(f324(f10(f928(x103791,a916),f928(f928(x103791,a916),f928(x103791,a916)),f928(x103791,a916)),f112(f928(x103791,a916))),f324(f324(f9(f928(x103791,a916),f928(x103791,a916),f928(x103791,a916)),f324(f324(f10(f928(x103791,a916),f928(f928(x103791,a916),f928(x103791,a916)),f928(x103791,a916)),f112(f928(x103791,a916))),x103794)),x103795))),x103793))))) % 194.45/194.28 [7395]E(x73951,x73952)+~P22(x73954,x73955,x73953,x73956)+~E(f324(x73953,x73951),f324(x73953,x73952))+~P1(f324(f324(f326(x73954),x73952),x73956))+~P1(f324(f324(f326(x73954),x73951),x73956)) % 194.45/194.28 [6652]~P147(x66524)+E(x66521,x66522)+~E(x66525,x66526)+E(x66523,f2(x66524))+~E(f324(f324(f79(x66524),x66525),f324(f324(f80(x66524),x66523),x66521)),f324(f324(f79(x66524),x66526),f324(f324(f80(x66524),x66523),x66522))) % 194.45/194.28 [7688]~P2(x76881)+~P112(x76881)+~P1(f324(f324(f235(x76881),x76882),f324(x76885,x76886)))+~P1(f324(f324(f326(x76883),x76886),x76884))+P1(f324(f324(f235(x76881),x76882),f324(f324(f40(x76883,x76881),x76884),x76885))) % 194.45/194.28 [10030]~P22(x100302,x100301,x100303,x100304)+~P22(x100301,x100302,x100306,x100305)+P23(x100301,x100302,f856(x100303,x100304,x100305,x100306,x100302,x100301),x100305,x100304)+~P1(f324(f324(f234(f928(x100302,a916)),f324(f307(x100301,x100302,x100306),x100305)),x100304))+~P1(f324(f324(f234(f928(x100301,a916)),f324(f307(x100302,x100301,x100303),x100304)),x100305)) % 194.45/194.28 [8374]~P2(x83741)+~P112(x83741)+~P1(f324(f324(f235(x83741),f324(x83744,x83746)),x83745))+~P1(f324(f324(f326(x83742),x83746),x83743))+P1(f324(f324(f235(x83741),f324(f324(f39(x83742,x83741),x83743),x83744)),x83745)) % 194.45/194.28 [8629]~P17(x86292,x86295,x86296,x86291)+~P1(f324(f61(x86292),x86294))+~P1(f324(f61(x86292),x86293))+~E(f324(f324(f103(f928(x86292,a916)),x86293),x86294),f189(f928(x86292,a916)))+E(f324(x86291,f324(f324(f112(f928(x86292,a916)),x86293),x86294)),f324(f72(x86295,x86295,x86295,f324(x86291,x86293)),f324(x86291,x86294))) % 194.45/194.28 [10228]~P81(x102281)+~E(f844(x102284,x102285,x102283,x102286,x102282,x102281),f845(x102284,x102285,x102283,x102286,x102282,x102281))+~P1(f324(f61(x102282),x102286))+E(f324(f324(f324(f65(x102281,x102282,f80(x102281)),f324(f324(f10(f928(x102283,a916),x102281,x102282),f324(f324(f65(x102281,x102283,f80(x102281)),x102284),f77(x102281))),x102285)),f77(x102281)),x102286),f324(f324(f324(f65(x102281,x102283,f80(x102281)),x102284),f77(x102281)),f324(f324(f40(x102282,f928(x102283,a916)),x102286),x102285)))+P1(f324(f324(f326(x102282),f843(x102284,x102285,x102283,x102286,x102282,x102281)),x102286)) % 194.45/194.28 [10258]~P81(x102581)+~E(f844(x102584,x102585,x102583,x102586,x102582,x102581),f845(x102584,x102585,x102583,x102586,x102582,x102581))+~P1(f324(f61(x102582),x102586))+E(f324(f324(f324(f65(x102581,x102582,f80(x102581)),f324(f324(f10(f928(x102583,a916),x102581,x102582),f324(f324(f65(x102581,x102583,f80(x102581)),x102584),f77(x102581))),x102585)),f77(x102581)),x102586),f324(f324(f324(f65(x102581,x102583,f80(x102581)),x102584),f77(x102581)),f324(f324(f40(x102582,f928(x102583,a916)),x102586),x102585)))+~P1(f324(f61(x102583),f324(x102585,f843(x102584,x102585,x102583,x102586,x102582,x102581)))) % 194.45/194.28 [10261]~P81(x102611)+~P1(f324(f61(x102612),x102616))+E(f324(f324(f324(f65(x102611,x102612,f80(x102611)),f324(f324(f10(f928(x102613,a916),x102611,x102612),f324(f324(f65(x102611,x102613,f80(x102611)),x102614),f77(x102611))),x102615)),f77(x102611)),x102616),f324(f324(f324(f65(x102611,x102613,f80(x102611)),x102614),f77(x102611)),f324(f324(f40(x102612,f928(x102613,a916)),x102616),x102615)))+P1(f324(f324(f326(x102612),f843(x102614,x102615,x102613,x102616,x102612,x102611)),x102616))+P1(f324(f324(f326(x102612),f845(x102614,x102615,x102613,x102616,x102612,x102611)),x102616)) % 194.45/194.28 [10262]~P81(x102621)+~P1(f324(f61(x102622),x102626))+E(f324(f324(f324(f65(x102621,x102622,f80(x102621)),f324(f324(f10(f928(x102623,a916),x102621,x102622),f324(f324(f65(x102621,x102623,f80(x102621)),x102624),f77(x102621))),x102625)),f77(x102621)),x102626),f324(f324(f324(f65(x102621,x102623,f80(x102621)),x102624),f77(x102621)),f324(f324(f40(x102622,f928(x102623,a916)),x102626),x102625)))+P1(f324(f324(f326(x102622),f843(x102624,x102625,x102623,x102626,x102622,x102621)),x102626))+P1(f324(f324(f326(x102622),f844(x102624,x102625,x102623,x102626,x102622,x102621)),x102626)) % 194.45/194.28 [10282]~P81(x102821)+~P1(f324(f61(x102822),x102826))+E(f324(f324(f324(f65(x102821,x102822,f80(x102821)),f324(f324(f10(f928(x102823,a916),x102821,x102822),f324(f324(f65(x102821,x102823,f80(x102821)),x102824),f77(x102821))),x102825)),f77(x102821)),x102826),f324(f324(f324(f65(x102821,x102823,f80(x102821)),x102824),f77(x102821)),f324(f324(f40(x102822,f928(x102823,a916)),x102826),x102825)))+P1(f324(f324(f326(x102822),f845(x102824,x102825,x102823,x102826,x102822,x102821)),x102826))+~P1(f324(f61(x102823),f324(x102825,f843(x102824,x102825,x102823,x102826,x102822,x102821)))) % 194.45/194.28 [10283]~P81(x102831)+~P1(f324(f61(x102832),x102836))+E(f324(f324(f324(f65(x102831,x102832,f80(x102831)),f324(f324(f10(f928(x102833,a916),x102831,x102832),f324(f324(f65(x102831,x102833,f80(x102831)),x102834),f77(x102831))),x102835)),f77(x102831)),x102836),f324(f324(f324(f65(x102831,x102833,f80(x102831)),x102834),f77(x102831)),f324(f324(f40(x102832,f928(x102833,a916)),x102836),x102835)))+P1(f324(f324(f326(x102832),f844(x102834,x102835,x102833,x102836,x102832,x102831)),x102836))+~P1(f324(f61(x102833),f324(x102835,f843(x102834,x102835,x102833,x102836,x102832,x102831)))) % 194.45/194.28 [10294]~P81(x102941)+~E(f324(f324(f103(f928(x102943,a916)),f324(x102945,f845(x102944,x102945,x102943,x102946,x102942,x102941))),f324(x102945,f844(x102944,x102945,x102943,x102946,x102942,x102941))),f189(f928(x102943,a916)))+~P1(f324(f61(x102942),x102946))+E(f324(f324(f324(f65(x102941,x102942,f80(x102941)),f324(f324(f10(f928(x102943,a916),x102941,x102942),f324(f324(f65(x102941,x102943,f80(x102941)),x102944),f77(x102941))),x102945)),f77(x102941)),x102946),f324(f324(f324(f65(x102941,x102943,f80(x102941)),x102944),f77(x102941)),f324(f324(f40(x102942,f928(x102943,a916)),x102946),x102945)))+P1(f324(f324(f326(x102942),f843(x102944,x102945,x102943,x102946,x102942,x102941)),x102946)) % 194.45/194.28 [10304]~P81(x103041)+~E(f324(f324(f103(f928(x103043,a916)),f324(x103045,f845(x103044,x103045,x103043,x103046,x103042,x103041))),f324(x103045,f844(x103044,x103045,x103043,x103046,x103042,x103041))),f189(f928(x103043,a916)))+~P1(f324(f61(x103042),x103046))+E(f324(f324(f324(f65(x103041,x103042,f80(x103041)),f324(f324(f10(f928(x103043,a916),x103041,x103042),f324(f324(f65(x103041,x103043,f80(x103041)),x103044),f77(x103041))),x103045)),f77(x103041)),x103046),f324(f324(f324(f65(x103041,x103043,f80(x103041)),x103044),f77(x103041)),f324(f324(f40(x103042,f928(x103043,a916)),x103046),x103045)))+~P1(f324(f61(x103043),f324(x103045,f843(x103044,x103045,x103043,x103046,x103042,x103041)))) % 194.45/194.28 [8964]E(x89641,x89642)+~P57(x89644,x89645,x89646,x89643,x89647)+~E(f324(x89643,x89641),f324(x89643,x89642))+~P1(f324(f324(f326(x89645),x89642),x89647))+~P1(f324(f324(f326(x89645),x89641),x89647)) % 194.45/194.28 [10272]~P1(f324(x102722,x102724))+~E(x102725,f324(f136(x102721,x102722),x102727))+E(f324(f136(x102721,x102722),x102723),f324(f324(f151(x102721),x102724),x102725))+~E(x102723,f324(f324(f134(x102721),x102726),f324(f324(f151(x102721),x102724),x102727)))+P1(f324(x102722,f779(x102725,x102724,x102723,x102722,x102721,x102726,x102727))) % 194.45/194.28 [10273]~P1(f324(x102734,x102732))+~E(x102733,f324(f136(x102731,x102734),x102737))+E(f324(f324(f151(x102731),x102732),x102733),f324(f136(x102731,x102734),x102735))+~E(x102735,f324(f324(f134(x102731),x102736),f324(f324(f151(x102731),x102732),x102737)))+P1(f324(x102734,f776(x102735,x102734,x102733,x102732,x102731,x102736,x102737))) % 194.45/194.28 [10315]~P1(f324(x103152,x103154))+~E(x103155,f324(f136(x103151,x103152),x103157))+E(f324(f136(x103151,x103152),x103153),f324(f324(f151(x103151),x103154),x103155))+~E(x103153,f324(f324(f134(x103151),x103156),f324(f324(f151(x103151),x103154),x103157)))+P1(f324(f324(f326(x103151),f779(x103155,x103154,x103153,x103152,x103151,x103156,x103157)),f324(f172(x103151),x103156))) % 194.45/194.28 [10316]~P1(f324(x103164,x103162))+~E(x103163,f324(f136(x103161,x103164),x103167))+E(f324(f324(f151(x103161),x103162),x103163),f324(f136(x103161,x103164),x103165))+~E(x103165,f324(f324(f134(x103161),x103166),f324(f324(f151(x103161),x103162),x103167)))+P1(f324(f324(f326(x103161),f776(x103165,x103164,x103163,x103162,x103161,x103166,x103167)),f324(f172(x103161),x103166))) % 194.45/194.28 [10319]~P5(x103191,x103197,x103196)+~P8(x103191,f928(x103195,a916),x103196,x103194)+P1(f324(f324(f326(x103191),f543(x103192,x103193,x103194,x103195,x103196,x103197,x103191)),x103197))+~P1(f324(f324(f326(f928(x103191,a916)),x103193),f324(f324(f60(x103191),x103197),x103196)))+P1(f324(f324(f326(f928(x103195,a916)),f324(f324(f40(x103191,f928(x103195,a916)),x103193),x103194)),x103192)) % 194.45/194.28 [10374]~P5(x103742,x103746,x103747)+~P8(x103742,f928(x103741,a916),x103747,x103744)+~P1(f324(f324(f326(f928(x103742,a916)),x103743),f324(f324(f60(x103742),x103746),x103747)))+~P1(f324(f324(f326(f928(x103741,a916)),f324(x103744,f543(x103745,x103743,x103744,x103741,x103747,x103746,x103742))),x103745))+P1(f324(f324(f326(f928(x103741,a916)),f324(f324(f40(x103742,f928(x103741,a916)),x103743),x103744)),x103745)) % 194.45/194.28 [8548]~P81(x85482)+~P22(x85481,x85485,x85488,x85484)+~E(x85483,f324(f72(x85485,x85482,x85481,x85486),x85488))+~E(x85487,f324(f307(x85481,x85485,x85488),x85484))+E(f324(f324(f11(x85481,x85482),x85483),x85484),f324(f324(f11(x85485,x85482),x85486),x85487)) % 194.45/194.28 [10378]~P81(x103782)+~P22(x103785,x103781,x103788,x103787)+~E(f324(x103786,f625(x103783,x103786,x103784,x103787,x103788,x103781,x103785,x103782)),f324(f324(f72(x103781,x103782,x103785,x103783),x103788),f625(x103783,x103786,x103784,x103787,x103788,x103781,x103785,x103782)))+~E(x103784,f324(f307(x103785,x103781,x103788),x103787))+E(f324(f324(f11(x103781,x103782),x103783),x103784),f324(f324(f11(x103785,x103782),x103786),x103787)) % 194.45/194.28 [10383]~P77(x103832)+~P22(x103831,x103835,x103838,x103834)+~E(x103837,f324(f307(x103831,x103835,x103838),x103834))+E(f324(f324(f8(x103831,x103832),x103833),x103834),f324(f324(f8(x103835,x103832),x103836),x103837))+P1(f324(f324(f326(x103831),f642(x103836,x103833,x103837,x103834,x103838,x103835,x103831,x103832)),x103834)) % 194.45/194.28 [10384]~P81(x103842)+~P22(x103841,x103845,x103848,x103844)+~E(x103847,f324(f307(x103841,x103845,x103848),x103844))+E(f324(f324(f11(x103841,x103842),x103843),x103844),f324(f324(f11(x103845,x103842),x103846),x103847))+P1(f324(f324(f326(x103841),f625(x103846,x103843,x103847,x103844,x103848,x103845,x103841,x103842)),x103844)) % 194.45/194.28 [10389]~P77(x103892)+~P22(x103895,x103891,x103898,x103897)+~E(x103894,f324(f307(x103895,x103891,x103898),x103897))+~E(f324(x103896,f642(x103893,x103896,x103894,x103897,x103898,x103891,x103895,x103892)),f324(x103893,f324(x103898,f642(x103893,x103896,x103894,x103897,x103898,x103891,x103895,x103892))))+E(f324(f324(f8(x103891,x103892),x103893),x103894),f324(f324(f8(x103895,x103892),x103896),x103897)) % 194.45/194.28 [9863]~P21(x98636,x98632,x98635,x98637,x98638,x98631)+~P1(f324(f61(x98632),x98634))+~P1(f324(f61(x98632),x98633))+~E(f324(f324(f103(f928(x98632,a916)),x98633),x98634),f189(f928(x98632,a916)))+E(f324(x98631,f324(f324(f112(f928(x98632,a916)),x98633),x98634)),f324(f324(x98635,f324(x98631,x98633)),f324(x98631,x98634))) % 194.45/194.28 [10255]~P21(x102558,x102552,x102555,x102557,x102556,x102551)+~E(f324(x102556,f908(x102554,x102553,x102551,x102556,x102557,x102555,x102552)),x102557)+~P1(f324(f61(x102552),x102553))+~P1(f324(f61(x102552),x102554))+E(f324(x102551,f324(f324(f112(f928(x102552,a916)),x102553),x102554)),f324(f324(x102555,f324(x102551,x102553)),f324(x102551,x102554))) % 194.45/194.28 [10326]~P21(x103268,x103262,x103265,x103267,x103266,x103261)+~P1(f324(f61(x103262),x103263))+~P1(f324(f61(x103262),x103264))+E(f324(x103261,f324(f324(f112(f928(x103262,a916)),x103263),x103264)),f324(f324(x103265,f324(x103261,x103263)),f324(x103261,x103264)))+P1(f324(f324(f326(x103262),f908(x103264,x103263,x103261,x103266,x103267,x103265,x103262)),f324(f324(f103(f928(x103262,a916)),x103263),x103264))) % 194.45/194.28 [10021]~P5(x100214,x100218,x100215)+~P5(x100211,x100219,x100213)+~P9(x100211,x100214,f928(x100212,a916),x100213,x100215,x100217)+P8(x100211,f928(x100212,a916),x100213,f324(f324(f10(f928(x100214,f928(x100212,a916)),f928(x100212,a916),x100211),f324(f40(x100214,f928(x100212,a916)),f324(f283(x100214,x100214,x100215),f324(f324(f306(x100214),x100216),f189(f928(x100214,a916)))))),x100217))+~P1(f324(f324(f326(x100214),x100216),x100218)) % 194.45/194.28 [5557]~P112(x55573)+~P10(x55573,x55571)+E(x55571,f755(x55572,x55573))+~E(f324(f172(x55573),x55571),x55572)+~P1(f324(f61(x55573),x55572))+~P1(f324(f137(x55573),x55571)) % 194.45/194.28 [7386]P13(x73861,x73862)+~E(f324(x73862,f835(x73862)),f324(x73862,f836(x73862)))+~P1(f324(f324(x73862,f835(x73862)),f835(x73862)))+~P1(f324(f324(x73862,f835(x73862)),f836(x73862)))+~P1(f324(f324(x73862,f836(x73862)),f836(x73862)))+~P1(f324(f324(x73862,x73863),x73863)) % 194.45/194.28 [5177]~P135(x51772)+~P136(x51772)+~P148(x51772)+~P119(x51772)+E(x51771,f2(x51772))+~E(f324(f324(f244(x51772),x51771),x51773),f2(x51772)) % 194.45/194.28 [5178]~P135(x51782)+~P136(x51782)+~P148(x51782)+~P119(x51782)+~E(x51781,f2(a920))+~E(f324(f324(f244(x51782),x51783),x51781),f2(x51782)) % 194.45/194.28 [6634]~P96(x66341)+~E(x66343,f2(x66341))+~E(x66342,f2(x66341))+E(f324(f324(f79(x66341),x66342),x66343),f2(x66341))+~P1(f324(f324(f234(x66341),f2(x66341)),x66343))+~P1(f324(f324(f234(x66341),f2(x66341)),x66342)) % 194.45/194.28 [9033]~E(f324(f251(a920,a920),x90333),f2(a920))+~E(x90331,f324(f324(f79(a920),f324(f324(f80(a920),f324(f251(a920,a920),x90333)),x90332)),f324(f256(a920,a920),x90333)))+P1(f324(f48(x90331,x90332),x90333))+~P1(f324(f324(f234(a920),f324(f256(a920,a920),x90333)),f2(a920)))+P1(f324(f324(f235(a920),f2(a920)),x90332))+~P1(f324(f324(f235(a920),x90332),f324(f256(a920,a920),x90333))) % 194.45/194.28 [9041]E(x90411,f2(a920))+~E(x90412,f324(f324(f79(a920),f324(f324(f80(a920),f324(f251(a920,a920),x90413)),x90411)),f324(f256(a920,a920),x90413)))+P1(f324(f48(x90412,x90411),x90413))+~P1(f324(f324(f235(a920),f2(a920)),x90411))+~P1(f324(f324(f234(a920),f2(a920)),f324(f256(a920,a920),x90413)))+~P1(f324(f324(f235(a920),f324(f256(a920,a920),x90413)),x90411)) % 194.45/194.28 [9061]~E(f324(f251(a920,a920),x90613),f2(a920))+~E(x90611,f324(f324(f79(a920),f324(f324(f80(a920),f324(f251(a920,a920),x90613)),x90612)),f324(f256(a920,a920),x90613)))+P1(f324(f48(x90611,x90612),x90613))+~P1(f324(f324(f235(a920),f2(a920)),x90612))+~P1(f324(f324(f234(a920),f2(a920)),f324(f256(a920,a920),x90613)))+~P1(f324(f324(f235(a920),f324(f256(a920,a920),x90613)),x90612)) % 194.45/194.28 [7015]~P105(x70152)+E(x70151,f189(f928(x70152,a916)))+E(x70153,f189(f928(x70152,a916)))+~P1(f324(f61(x70152),x70151))+~P1(f324(f61(x70152),x70153))+E(f12(x70152,f324(f324(f112(f928(x70152,a916)),x70153),x70151)),f324(f324(f103(x70152),f12(x70152,x70153)),f12(x70152,x70151))) % 194.45/194.28 [7016]~P105(x70162)+E(x70161,f189(f928(x70162,a916)))+E(x70163,f189(f928(x70162,a916)))+~P1(f324(f61(x70162),x70161))+~P1(f324(f61(x70162),x70163))+E(f15(x70162,f324(f324(f112(f928(x70162,a916)),x70163),x70161)),f324(f324(f112(x70162),f15(x70162,x70163)),f15(x70162,x70161))) % 194.45/194.28 [7017]~P112(x70172)+E(x70171,f189(f928(x70172,a916)))+E(x70173,f189(f928(x70172,a916)))+~P1(f324(f61(x70172),x70171))+~P1(f324(f61(x70172),x70173))+E(f16(x70172,f324(f324(f112(f928(x70172,a916)),x70173),x70171)),f324(f324(f188(x70172),f16(x70172,x70173)),f16(x70172,x70171))) % 194.45/194.28 [7018]~P112(x70182)+E(x70181,f189(f928(x70182,a916)))+E(x70183,f189(f928(x70182,a916)))+~P1(f324(f61(x70182),x70181))+~P1(f324(f61(x70182),x70183))+E(f17(x70182,f324(f324(f112(f928(x70182,a916)),x70183),x70181)),f324(f324(f233(x70182),f17(x70182,x70183)),f17(x70182,x70181))) % 194.45/194.28 [7665]~P103(x76652)+E(x76651,f189(f928(x76652,a916)))+E(x76653,f189(f928(x76652,a916)))+~P1(f324(f61(x76652),x76651))+~P1(f324(f61(x76652),x76653))+E(f324(f324(f80(x76652),f324(f63(x76652,f80(x76652)),x76653)),f324(f63(x76652,f80(x76652)),x76651)),f324(f63(x76652,f80(x76652)),f324(f324(f112(f928(x76652,a916)),x76653),x76651))) % 194.45/194.28 [7821]~P112(x78212)+E(x78211,f189(f928(x78212,a916)))+E(x78213,f189(f928(x78212,a916)))+~P1(f324(f61(x78212),x78211))+~P1(f324(f61(x78212),x78213))+E(f324(f324(f188(x78212),f13(x78212,f188(x78212),x78213)),f13(x78212,f188(x78212),x78211)),f13(x78212,f188(x78212),f324(f324(f112(f928(x78212,a916)),x78213),x78211))) % 194.45/194.28 [7822]~P112(x78222)+E(x78221,f189(f928(x78222,a916)))+E(x78223,f189(f928(x78222,a916)))+~P1(f324(f61(x78222),x78221))+~P1(f324(f61(x78222),x78223))+E(f324(f324(f233(x78222),f14(x78222,f233(x78222),x78223)),f14(x78222,f233(x78222),x78221)),f14(x78222,f233(x78222),f324(f324(f112(f928(x78222,a916)),x78223),x78221))) % 194.45/194.28 [8865]~P1(f324(x88651,x88653))+P1(f324(x88651,f492(x88651,x88652)))+P1(f324(x88651,f478(x88651,x88652)))+~P1(f324(f324(f235(a1),f2(a1)),x88652))+~P1(f324(f324(f326(a1),x88653),f300(a1,f77(a1),x88652)))+P1(f324(x88651,f324(f324(f3(a1),f478(x88651,x88652)),f324(f324(f80(a1),f491(x88651,x88652)),x88652)))) % 194.45/194.28 [9169]~P1(f324(x91691,x91693))+~P1(f324(x91691,f478(x91691,x91692)))+P1(f324(x91691,f492(x91691,x91692)))+~P1(f324(f324(f235(a1),f2(a1)),x91692))+~P1(f324(f324(f326(a1),x91693),f300(a1,f77(a1),x91692)))+~P1(f324(x91691,f324(f324(f3(a1),f478(x91691,x91692)),f324(f324(f80(a1),f491(x91691,x91692)),x91692)))) % 194.45/194.28 [10411]~P106(x104112)+E(x104111,f189(f928(x104112,a916)))+E(x104113,f189(f928(x104112,a916)))+~P1(f324(f61(x104112),x104111))+~P1(f324(f61(x104112),x104113))+E(f15(x104112,f324(f262(x104112),f324(f324(f10(f928(x104112,a916),a916,x104112),f86(x104112)),f324(f324(f10(f928(x104112,f928(x104112,a916)),f928(x104112,a916),x104112),f324(f10(f928(x104112,a916),a916,x104112),f86(x104112))),f324(f324(f9(x104112,f928(x104112,f928(x104112,a916)),f928(x104112,f928(x104112,a916))),f324(f324(f10(f928(x104112,f928(f928(x104112,a916),f928(x104112,a916))),f928(f928(x104112,f928(x104112,a916)),f928(x104112,f928(x104112,a916))),x104112),f20(x104112,f928(x104112,a916),f928(x104112,a916))),f324(f324(f10(f928(x104112,f928(x104112,f928(a916,a916))),f928(x104112,f928(f928(x104112,a916),f928(x104112,a916))),x104112),f324(f10(f928(x104112,f928(a916,a916)),f928(f928(x104112,a916),f928(x104112,a916)),x104112),f20(x104112,a916,a916))),f324(f324(f10(f928(x104112,f928(x104112,a916)),f928(x104112,f928(x104112,f928(a916,a916))),x104112),f324(f10(f928(x104112,a916),f928(x104112,f928(a916,a916)),x104112),f324(f10(a916,f928(a916,a916),x104112),a322))),f324(f324(f9(x104112,f928(x104112,f928(x104112,x104112)),f928(x104112,f928(x104112,a916))),f324(f324(f10(f928(f928(x104112,x104112),f928(x104112,a916)),f928(f928(x104112,f928(x104112,x104112)),f928(x104112,f928(x104112,a916))),x104112),f10(f928(x104112,x104112),f928(x104112,a916),x104112)),f324(f324(f10(f928(x104112,a916),f928(f928(x104112,x104112),f928(x104112,a916)),x104112),f10(x104112,a916,x104112)),a321))),f103(x104112)))))),f324(f324(f9(x104112,f928(x104112,a916),f928(x104112,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x104112,a916),f928(x104112,a916)),x104112),f10(a916,a916,x104112)),f324(f324(f10(a916,f928(a916,a916),x104112),a322),f324(f324(f9(x104112,f928(x104112,a916),a916),f326(x104112)),x104113)))),f324(f324(f9(x104112,f928(x104112,a916),a916),f326(x104112)),x104111))))))),f324(f324(f103(x104112),f15(x104112,x104113)),f15(x104112,x104111))) % 194.45/194.28 [10412]~P106(x104122)+E(x104121,f189(f928(x104122,a916)))+E(x104123,f189(f928(x104122,a916)))+~P1(f324(f61(x104122),x104121))+~P1(f324(f61(x104122),x104123))+E(f12(x104122,f324(f262(x104122),f324(f324(f10(f928(x104122,a916),a916,x104122),f86(x104122)),f324(f324(f10(f928(x104122,f928(x104122,a916)),f928(x104122,a916),x104122),f324(f10(f928(x104122,a916),a916,x104122),f86(x104122))),f324(f324(f9(x104122,f928(x104122,f928(x104122,a916)),f928(x104122,f928(x104122,a916))),f324(f324(f10(f928(x104122,f928(f928(x104122,a916),f928(x104122,a916))),f928(f928(x104122,f928(x104122,a916)),f928(x104122,f928(x104122,a916))),x104122),f20(x104122,f928(x104122,a916),f928(x104122,a916))),f324(f324(f10(f928(x104122,f928(x104122,f928(a916,a916))),f928(x104122,f928(f928(x104122,a916),f928(x104122,a916))),x104122),f324(f10(f928(x104122,f928(a916,a916)),f928(f928(x104122,a916),f928(x104122,a916)),x104122),f20(x104122,a916,a916))),f324(f324(f10(f928(x104122,f928(x104122,a916)),f928(x104122,f928(x104122,f928(a916,a916))),x104122),f324(f10(f928(x104122,a916),f928(x104122,f928(a916,a916)),x104122),f324(f10(a916,f928(a916,a916),x104122),a322))),f324(f324(f9(x104122,f928(x104122,f928(x104122,x104122)),f928(x104122,f928(x104122,a916))),f324(f324(f10(f928(f928(x104122,x104122),f928(x104122,a916)),f928(f928(x104122,f928(x104122,x104122)),f928(x104122,f928(x104122,a916))),x104122),f10(f928(x104122,x104122),f928(x104122,a916),x104122)),f324(f324(f10(f928(x104122,a916),f928(f928(x104122,x104122),f928(x104122,a916)),x104122),f10(x104122,a916,x104122)),a321))),f112(x104122)))))),f324(f324(f9(x104122,f928(x104122,a916),f928(x104122,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x104122,a916),f928(x104122,a916)),x104122),f10(a916,a916,x104122)),f324(f324(f10(a916,f928(a916,a916),x104122),a322),f324(f324(f9(x104122,f928(x104122,a916),a916),f326(x104122)),x104123)))),f324(f324(f9(x104122,f928(x104122,a916),a916),f326(x104122)),x104121))))))),f324(f324(f112(x104122),f12(x104122,x104123)),f12(x104122,x104121))) % 194.45/194.28 [10413]~P112(x104132)+E(x104131,f189(f928(x104132,a916)))+E(x104133,f189(f928(x104132,a916)))+~P1(f324(f61(x104132),x104131))+~P1(f324(f61(x104132),x104133))+E(f14(x104132,f233(x104132),f324(f262(x104132),f324(f324(f10(f928(x104132,a916),a916,x104132),f86(x104132)),f324(f324(f10(f928(x104132,f928(x104132,a916)),f928(x104132,a916),x104132),f324(f10(f928(x104132,a916),a916,x104132),f86(x104132))),f324(f324(f9(x104132,f928(x104132,f928(x104132,a916)),f928(x104132,f928(x104132,a916))),f324(f324(f10(f928(x104132,f928(f928(x104132,a916),f928(x104132,a916))),f928(f928(x104132,f928(x104132,a916)),f928(x104132,f928(x104132,a916))),x104132),f20(x104132,f928(x104132,a916),f928(x104132,a916))),f324(f324(f10(f928(x104132,f928(x104132,f928(a916,a916))),f928(x104132,f928(f928(x104132,a916),f928(x104132,a916))),x104132),f324(f10(f928(x104132,f928(a916,a916)),f928(f928(x104132,a916),f928(x104132,a916)),x104132),f20(x104132,a916,a916))),f324(f324(f10(f928(x104132,f928(x104132,a916)),f928(x104132,f928(x104132,f928(a916,a916))),x104132),f324(f10(f928(x104132,a916),f928(x104132,f928(a916,a916)),x104132),f324(f10(a916,f928(a916,a916),x104132),a322))),f324(f324(f9(x104132,f928(x104132,f928(x104132,x104132)),f928(x104132,f928(x104132,a916))),f324(f324(f10(f928(f928(x104132,x104132),f928(x104132,a916)),f928(f928(x104132,f928(x104132,x104132)),f928(x104132,f928(x104132,a916))),x104132),f10(f928(x104132,x104132),f928(x104132,a916),x104132)),f324(f324(f10(f928(x104132,a916),f928(f928(x104132,x104132),f928(x104132,a916)),x104132),f10(x104132,a916,x104132)),a321))),f188(x104132)))))),f324(f324(f9(x104132,f928(x104132,a916),f928(x104132,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x104132,a916),f928(x104132,a916)),x104132),f10(a916,a916,x104132)),f324(f324(f10(a916,f928(a916,a916),x104132),a322),f324(f324(f9(x104132,f928(x104132,a916),a916),f326(x104132)),x104133)))),f324(f324(f9(x104132,f928(x104132,a916),a916),f326(x104132)),x104131))))))),f324(f324(f188(x104132),f14(x104132,f233(x104132),x104133)),f14(x104132,f233(x104132),x104131))) % 194.45/194.28 [10414]~P112(x104142)+E(x104141,f189(f928(x104142,a916)))+E(x104143,f189(f928(x104142,a916)))+~P1(f324(f61(x104142),x104141))+~P1(f324(f61(x104142),x104143))+E(f13(x104142,f188(x104142),f324(f262(x104142),f324(f324(f10(f928(x104142,a916),a916,x104142),f86(x104142)),f324(f324(f10(f928(x104142,f928(x104142,a916)),f928(x104142,a916),x104142),f324(f10(f928(x104142,a916),a916,x104142),f86(x104142))),f324(f324(f9(x104142,f928(x104142,f928(x104142,a916)),f928(x104142,f928(x104142,a916))),f324(f324(f10(f928(x104142,f928(f928(x104142,a916),f928(x104142,a916))),f928(f928(x104142,f928(x104142,a916)),f928(x104142,f928(x104142,a916))),x104142),f20(x104142,f928(x104142,a916),f928(x104142,a916))),f324(f324(f10(f928(x104142,f928(x104142,f928(a916,a916))),f928(x104142,f928(f928(x104142,a916),f928(x104142,a916))),x104142),f324(f10(f928(x104142,f928(a916,a916)),f928(f928(x104142,a916),f928(x104142,a916)),x104142),f20(x104142,a916,a916))),f324(f324(f10(f928(x104142,f928(x104142,a916)),f928(x104142,f928(x104142,f928(a916,a916))),x104142),f324(f10(f928(x104142,a916),f928(x104142,f928(a916,a916)),x104142),f324(f10(a916,f928(a916,a916),x104142),a322))),f324(f324(f9(x104142,f928(x104142,f928(x104142,x104142)),f928(x104142,f928(x104142,a916))),f324(f324(f10(f928(f928(x104142,x104142),f928(x104142,a916)),f928(f928(x104142,f928(x104142,x104142)),f928(x104142,f928(x104142,a916))),x104142),f10(f928(x104142,x104142),f928(x104142,a916),x104142)),f324(f324(f10(f928(x104142,a916),f928(f928(x104142,x104142),f928(x104142,a916)),x104142),f10(x104142,a916,x104142)),a321))),f233(x104142)))))),f324(f324(f9(x104142,f928(x104142,a916),f928(x104142,a916)),f324(f324(f10(f928(a916,a916),f928(f928(x104142,a916),f928(x104142,a916)),x104142),f10(a916,a916,x104142)),f324(f324(f10(a916,f928(a916,a916),x104142),a322),f324(f324(f9(x104142,f928(x104142,a916),a916),f326(x104142)),x104143)))),f324(f324(f9(x104142,f928(x104142,a916),a916),f326(x104142)),x104141))))))),f324(f324(f233(x104142),f13(x104142,f188(x104142),x104143)),f13(x104142,f188(x104142),x104141))) % 194.45/194.28 [7342]~P129(x73423)+E(x73421,x73422)+~E(f324(f324(f244(x73423),x73421),x73424),f324(f324(f244(x73423),x73422),x73424))+~P1(f324(f324(f234(x73423),f2(x73423)),x73422))+~P1(f324(f324(f234(x73423),f2(x73423)),x73421))+~P1(f324(f324(f235(a920),f2(a920)),x73424)) % 194.45/194.28 [9318]~P1(f324(x93182,x93183))+~P1(f324(x93181,x93184))+E(f238(a920,x93181),f324(a114,f238(a920,x93182)))+P1(f324(x93182,f854(x93183,x93182,x93184,x93181)))+P1(f324(x93181,f2(a920)))+P1(f324(x93181,f324(a114,f854(x93183,x93182,x93184,x93181)))) % 194.45/194.28 [9580]~P1(f324(x95802,x95803))+~P1(f324(x95801,x95804))+E(f238(a920,x95801),f324(a114,f238(a920,x95802)))+~P1(f324(x95802,f854(x95803,x95802,x95804,x95801)))+P1(f324(x95801,f2(a920)))+~P1(f324(x95801,f324(a114,f854(x95803,x95802,x95804,x95801)))) % 194.45/194.28 [7625]~P112(x76252)+E(x76251,f189(f928(x76252,a916)))+~P1(f324(f61(x76252),x76251))+~P1(f324(f324(f326(x76252),x76254),x76251))+P1(f324(f324(f234(x76252),x76253),x76254))+~P1(f324(f324(f234(x76252),x76253),f324(f63(x76252,f188(x76252)),x76251))) % 194.45/194.28 [7626]~P63(x76262)+E(x76261,f189(f928(x76262,a916)))+~P1(f324(f61(x76262),x76261))+~P1(f324(f324(f326(x76262),x76264),x76261))+P1(f324(f324(f234(x76262),x76263),x76264))+~P1(f324(f324(f234(x76262),x76263),f324(f63(x76262,f103(x76262)),x76261))) % 194.45/194.28 [7627]~P112(x76272)+E(x76271,f189(f928(x76272,a916)))+~P1(f324(f61(x76272),x76271))+~P1(f324(f324(f326(x76272),x76274),x76271))+P1(f324(f324(f235(x76272),x76273),x76274))+~P1(f324(f324(f235(x76272),x76273),f324(f63(x76272,f188(x76272)),x76271))) % 194.45/194.28 [7525]E(x75251,f2(a1))+E(f324(f324(f36(a1),x75252),x75251),x75253)+~P1(f324(f324(f234(a1),x75254),f2(a1)))+~E(x75252,f324(f324(f79(a1),f324(f324(f80(a1),x75251),x75253)),x75254))+P1(f324(f324(f235(a1),f2(a1)),x75251))+~P1(f324(f324(f235(a1),x75251),x75254)) % 194.45/194.28 [7541]E(f45(a1,x75412,x75411),x75413)+E(x75411,f2(a1))+~P1(f324(f324(f234(a1),x75413),f2(a1)))+~E(x75412,f324(f324(f79(a1),f324(f324(f80(a1),x75411),x75414)),x75413))+P1(f324(f324(f235(a1),f2(a1)),x75411))+~P1(f324(f324(f235(a1),x75411),x75413)) % 194.45/194.28 [7664]E(x76641,f2(a1))+E(f324(f324(f36(a1),x76642),x76641),x76643)+~E(x76642,f324(f324(f79(a1),f324(f324(f80(a1),x76641),x76643)),x76644))+~P1(f324(f324(f234(a1),f2(a1)),x76644))+~P1(f324(f324(f235(a1),f2(a1)),x76641))+~P1(f324(f324(f235(a1),x76644),x76641)) % 194.45/194.28 [7684]E(f45(a1,x76842,x76841),x76843)+E(x76841,f2(a1))+~E(x76842,f324(f324(f79(a1),f324(f324(f80(a1),x76841),x76844)),x76843))+~P1(f324(f324(f234(a1),f2(a1)),x76843))+~P1(f324(f324(f235(a1),f2(a1)),x76841))+~P1(f324(f324(f235(a1),x76843),x76841)) % 194.45/194.28 [7825]~P112(x78252)+E(x78251,f189(f928(x78252,a916)))+~P1(f324(f61(x78252),x78251))+~P1(f324(f324(f234(x78252),x78254),x78253))+~P1(f324(f324(f326(x78252),x78254),x78251))+P1(f324(f324(f234(x78252),f324(f63(x78252,f188(x78252)),x78251)),x78253)) % 194.45/194.28 [7826]~P112(x78262)+E(x78261,f189(f928(x78262,a916)))+~P1(f324(f61(x78262),x78261))+~P1(f324(f324(f235(x78262),x78264),x78263))+~P1(f324(f324(f326(x78262),x78264),x78261))+P1(f324(f324(f235(x78262),f324(f63(x78262,f188(x78262)),x78261)),x78263)) % 194.45/194.28 [8398]~P1(f324(f324(f234(a1),x83984),f2(a1)))+~E(x83981,f324(f324(f79(a1),f324(f324(f80(a1),x83982),x83983)),x83984))+~P1(f324(f324(f234(a1),f2(a1)),x83984))+~P1(f324(f324(f235(a1),x83984),x83982))+~P1(f324(f324(f235(a1),x83982),x83984))+P1(f324(f49(x83981,x83982),f324(f324(f252(a1,a1),x83983),x83984))) % 194.45/194.28 [8566]~P113(x85661)+P1(f324(f324(f235(f928(x85661,a916)),f300(x85661,x85662,x85663)),f300(x85661,x85664,x85665)))+~P1(f324(f324(f234(x85661),x85664),x85662))+~P1(f324(f324(f234(x85661),x85664),x85665))+~P1(f324(f324(f234(x85661),x85663),x85665))+~P1(f324(f324(f235(x85661),x85663),x85665)) % 194.45/194.28 [8567]~P113(x85671)+P1(f324(f324(f235(f928(x85671,a916)),f300(x85671,x85672,x85673)),f300(x85671,x85674,x85675)))+~P1(f324(f324(f234(x85671),x85673),x85675))+~P1(f324(f324(f234(x85671),x85674),x85675))+~P1(f324(f324(f234(x85671),x85674),x85672))+~P1(f324(f324(f235(x85671),x85674),x85672)) % 194.45/194.28 [9443]P59(x94432,x94433,x94434,x94431)+E(x94431,f189(f928(x94432,a916)))+~P1(f324(f61(x94432),x94434))+~P1(f324(f61(x94432),x94431))+~P1(f324(f324(x94433,f560(x94431,x94434,x94433,x94432)),x94435))+~P1(f324(f324(f326(x94432),x94435),x94431)) % 194.45/194.28 [9444]P59(x94442,x94443,x94444,x94441)+E(x94441,f189(f928(x94442,a916)))+~P1(f324(f61(x94442),x94444))+~P1(f324(f61(x94442),x94441))+~P1(f324(f324(x94443,f827(x94443,x94441,x94444,x94442)),x94445))+~P1(f324(f324(f326(x94442),x94445),x94441)) % 194.45/194.28 [9445]P59(x94452,x94453,x94454,x94451)+E(x94451,f189(f928(x94452,a916)))+~P1(f324(f61(x94452),x94454))+~P1(f324(f61(x94452),x94451))+~P1(f324(f324(x94453,f829(x94451,x94454,x94453,x94452)),x94455))+~P1(f324(f324(f326(x94452),x94455),x94451)) % 194.45/194.28 [9596]~E(x95963,x95965)+~P77(x95961)+~P81(x95961)+~P39(x95963)+E(f324(f324(f8(a1,x95961),x95962),x95963),f324(f324(f8(a1,x95961),x95964),x95965))+P1(f324(f324(f234(a1),f2(a1)),f555(x95962,x95964,x95963,x95965,x95961))) % 194.45/194.28 [9597]~E(x95973,x95975)+~P77(x95971)+~P81(x95971)+~P39(x95973)+E(f324(f324(f11(a1,x95971),x95972),x95973),f324(f324(f11(a1,x95971),x95974),x95975))+P1(f324(f324(f234(a1),f2(a1)),f556(x95972,x95974,x95973,x95975,x95971))) % 194.45/194.28 [9771]~E(x97715,x97713)+~P77(x97711)+~P81(x97711)+~P39(x97715)+~E(f324(x97712,f555(x97714,x97712,x97715,x97713,x97711)),f324(x97714,f555(x97714,x97712,x97715,x97713,x97711)))+E(f324(f324(f8(a1,x97711),x97712),x97713),f324(f324(f8(a1,x97711),x97714),x97715)) % 194.45/194.28 [9772]~E(x97725,x97723)+~P77(x97721)+~P81(x97721)+~P39(x97725)+~E(f324(x97722,f556(x97724,x97722,x97725,x97723,x97721)),f324(x97724,f556(x97724,x97722,x97725,x97723,x97721)))+E(f324(f324(f11(a1,x97721),x97722),x97723),f324(f324(f11(a1,x97721),x97724),x97725)) % 194.45/194.28 [9861]~P86(x98613)+E(f324(x98611,x98612),f2(x98613))+~E(f324(f324(f8(x98614,x98613),x98611),x98615),f2(x98613))+~P1(f324(f61(x98614),x98615))+P1(f324(f324(f326(x98614),f460(x98612,x98611,x98615,x98614,x98613)),x98615))+~P1(f324(f324(f326(x98614),x98612),x98615)) % 194.45/194.28 [9993]~P86(x99933)+E(f324(x99931,x99932),f2(x99933))+~E(f324(f324(f8(x99934,x99933),x99931),x99935),f2(x99933))+~P1(f324(f61(x99934),x99935))+~P1(f324(f324(f326(x99934),x99932),x99935))+~P1(f324(f324(f234(x99933),f2(x99933)),f324(x99931,f460(x99932,x99931,x99935,x99934,x99933)))) % 194.45/194.28 [8484]~P140(x84841)+~P1(f324(f324(f234(x84841),x84843),x84845))+~P1(f324(f324(f234(x84841),x84842),x84844))+~P1(f324(f324(f234(x84841),f2(x84841)),x84843))+~P1(f324(f324(f234(x84841),f2(x84841)),x84844))+P1(f324(f324(f234(x84841),f324(f324(f80(x84841),x84842),x84843)),f324(f324(f80(x84841),x84844),x84845))) % 194.45/194.28 [8485]~P140(x84851)+~P1(f324(f324(f234(x84851),x84853),x84855))+~P1(f324(f324(f234(x84851),x84852),x84854))+~P1(f324(f324(f234(x84851),f2(x84851)),x84853))+~P1(f324(f324(f234(x84851),f2(x84851)),x84852))+P1(f324(f324(f234(x84851),f324(f324(f80(x84851),x84852),x84853)),f324(f324(f80(x84851),x84854),x84855))) % 194.45/194.28 [8486]~P73(x84861)+~P1(f324(f324(f235(x84861),f2(x84861)),x84865))+~P1(f324(f324(f234(x84861),x84865),x84863))+~P1(f324(f324(f234(x84861),x84862),x84864))+~P1(f324(f324(f234(x84861),f2(x84861)),x84862))+P1(f324(f324(f234(x84861),f324(f324(f287(x84861),x84862),x84863)),f324(f324(f287(x84861),x84864),x84865))) % 194.45/194.28 [8487]~P137(x84871)+~P1(f324(f324(f234(x84871),x84873),x84875))+~P1(f324(f324(f234(x84871),f2(x84871)),x84872))+~P1(f324(f324(f235(x84871),x84872),x84874))+~P1(f324(f324(f235(x84871),f2(x84871)),x84873))+P1(f324(f324(f235(x84871),f324(f324(f80(x84871),x84872),x84873)),f324(f324(f80(x84871),x84874),x84875))) % 194.45/194.28 [8488]~P137(x84881)+~P1(f324(f324(f234(x84881),x84882),x84884))+~P1(f324(f324(f234(x84881),f2(x84881)),x84883))+~P1(f324(f324(f235(x84881),x84883),x84885))+~P1(f324(f324(f235(x84881),f2(x84881)),x84882))+P1(f324(f324(f235(x84881),f324(f324(f80(x84881),x84882),x84883)),f324(f324(f80(x84881),x84884),x84885))) % 194.45/194.28 [8489]~P137(x84891)+~P1(f324(f324(f234(x84891),f2(x84891)),x84893))+~P1(f324(f324(f234(x84891),f2(x84891)),x84892))+~P1(f324(f324(f235(x84891),x84893),x84895))+~P1(f324(f324(f235(x84891),x84892),x84894))+P1(f324(f324(f235(x84891),f324(f324(f80(x84891),x84892),x84893)),f324(f324(f80(x84891),x84894),x84895))) % 194.45/194.28 [8490]~P137(x84901)+~P1(f324(f324(f234(x84901),f2(x84901)),x84903))+~P1(f324(f324(f235(x84901),x84903),x84905))+~P1(f324(f324(f235(x84901),x84902),x84904))+~P1(f324(f324(f235(x84901),f2(x84901)),x84904))+P1(f324(f324(f235(x84901),f324(f324(f80(x84901),x84902),x84903)),f324(f324(f80(x84901),x84904),x84905))) % 194.45/194.28 [8491]~P73(x84911)+~P1(f324(f324(f234(x84911),x84915),x84913))+~P1(f324(f324(f234(x84911),f2(x84911)),x84912))+~P1(f324(f324(f235(x84911),x84912),x84914))+~P1(f324(f324(f235(x84911),f2(x84911)),x84915))+P1(f324(f324(f235(x84911),f324(f324(f287(x84911),x84912),x84913)),f324(f324(f287(x84911),x84914),x84915))) % 194.45/194.28 [8492]~P73(x84921)+~P1(f324(f324(f234(x84921),x84922),x84924))+~P1(f324(f324(f235(x84921),x84925),x84923))+~P1(f324(f324(f235(x84921),f2(x84921)),x84925))+~P1(f324(f324(f235(x84921),f2(x84921)),x84922))+P1(f324(f324(f235(x84921),f324(f324(f287(x84921),x84922),x84923)),f324(f324(f287(x84921),x84924),x84925))) % 194.45/194.28 [9904]~P77(x99045)+~P92(x99045)+E(x99041,f189(f928(x99042,a916)))+~P1(f324(f61(x99042),x99041))+P1(f324(f324(f326(x99042),f891(x99043,x99044,x99041,x99042,x99045)),x99041))+P1(f324(f324(f235(x99045),f324(f324(f8(x99042,x99045),x99044),x99041)),f324(f324(f8(x99042,x99045),x99043),x99041))) % 194.45/194.28 [10017]~P77(x100171)+~P94(x100171)+~P1(f324(f61(x100172),x100175))+~P1(f324(f324(f234(x100171),f2(x100171)),f324(x100173,f350(x100173,x100174,x100175,x100172,x100171))))+P1(f324(f324(f234(x100171),f324(f324(f8(x100172,x100171),x100173),x100174)),f324(f324(f8(x100172,x100171),x100173),x100175)))+~P1(f324(f324(f234(f928(x100172,a916)),x100174),x100175)) % 194.45/194.28 [10176]~P77(x101763)+~P92(x101763)+E(x101761,f189(f928(x101762,a916)))+~P1(f324(f61(x101762),x101761))+~P1(f324(f324(f235(x101763),f324(x101764,f891(x101765,x101764,x101761,x101762,x101763))),f324(x101765,f891(x101765,x101764,x101761,x101762,x101763))))+P1(f324(f324(f235(x101763),f324(f324(f8(x101762,x101763),x101764),x101761)),f324(f324(f8(x101762,x101763),x101765),x101761))) % 194.45/194.28 [7197]~P15(x71972,x71975,x71974)+E(x71971,f189(f928(x71972,a916)))+E(x71973,f189(f928(x71972,a916)))+~P1(f324(f61(x71972),x71971))+~P1(f324(f61(x71972),x71973))+E(f324(x71974,f324(f324(f112(f928(x71972,a916)),x71973),x71971)),f324(f324(x71975,f324(x71974,x71973)),f324(x71974,x71971))) % 194.45/194.28 [7792]~P150(x77921,x77924,x77923)+P1(f324(x77921,x77922))+~P1(f324(f324(f235(a1),x77924),f2(a1)))+~P1(f324(f324(f234(a1),x77925),f2(a1)))+~E(x77923,f324(f324(f79(a1),f324(f324(f80(a1),x77924),x77922)),x77925))+~P1(f324(f324(f235(a1),x77924),x77925)) % 194.45/194.28 [7793]~P149(x77931,x77934,x77933)+P1(f324(x77931,x77932))+~P1(f324(f324(f235(a1),x77934),f2(a1)))+~P1(f324(f324(f234(a1),x77932),f2(a1)))+~E(x77933,f324(f324(f79(a1),f324(f324(f80(a1),x77934),x77935)),x77932))+~P1(f324(f324(f235(a1),x77934),x77932)) % 194.45/194.28 [7835]~P150(x78351,x78354,x78353)+P1(f324(x78351,x78352))+~E(x78353,f324(f324(f79(a1),f324(f324(f80(a1),x78354),x78352)),x78355))+~P1(f324(f324(f234(a1),f2(a1)),x78355))+~P1(f324(f324(f235(a1),f2(a1)),x78354))+~P1(f324(f324(f235(a1),x78355),x78354)) % 194.45/194.28 [7836]~P149(x78361,x78364,x78363)+P1(f324(x78361,x78362))+~E(x78363,f324(f324(f79(a1),f324(f324(f80(a1),x78364),x78365)),x78362))+~P1(f324(f324(f234(a1),f2(a1)),x78362))+~P1(f324(f324(f235(a1),f2(a1)),x78364))+~P1(f324(f324(f235(a1),x78362),x78364)) % 194.45/194.28 [8779]P1(f324(f324(x87791,x87792),x87793))+~P1(f324(f324(x87791,f324(f324(f36(a1),x87794),x87795)),f45(a1,x87794,x87795)))+~P1(f324(f324(f235(a1),x87795),f2(a1)))+~P1(f324(f324(f234(a1),x87793),f2(a1)))+~E(x87794,f324(f324(f79(a1),f324(f324(f80(a1),x87795),x87792)),x87793))+~P1(f324(f324(f235(a1),x87795),x87793)) % 194.45/194.28 [8788]P1(f324(f324(x87881,x87882),x87883))+~P1(f324(f324(x87881,f324(f324(f36(a1),x87884),x87885)),f45(a1,x87884,x87885)))+~E(x87884,f324(f324(f79(a1),f324(f324(f80(a1),x87885),x87882)),x87883))+~P1(f324(f324(f234(a1),f2(a1)),x87883))+~P1(f324(f324(f235(a1),f2(a1)),x87885))+~P1(f324(f324(f235(a1),x87883),x87885)) % 194.45/194.28 [9050]E(x90501,x90502)+~P56(x90503,x90505,x90504)+~P1(f324(f324(f326(x90503),x90502),x90505))+~P1(f324(f324(f326(x90503),x90501),x90505))+P1(f324(f324(f326(f927(x90503,x90503)),f324(f324(f252(x90503,x90503),x90501),x90502)),x90504))+P1(f324(f324(f326(f927(x90503,x90503)),f324(f324(f252(x90503,x90503),x90502),x90501)),x90504)) % 194.45/194.28 [9880]~P113(x98801)+~P113(x98802)+~P38(x98802,x98801,x98803)+~P1(f324(f324(f234(x98802),x98805),f511(x98804,x98803,x98802,x98801,x98805)))+E(f238(x98801,f324(f324(f9(x98801,f928(x98801,a916),a916),f326(x98801)),f324(f307(x98802,x98801,x98803),x98804))),f324(x98803,f238(x98802,f324(f324(f9(x98802,f928(x98802,a916),a916),f326(x98802)),x98804))))+~P1(f324(f324(f326(x98802),x98805),x98804)) % 194.45/194.28 [9932]~P77(x99325)+~P94(x99325)+~P1(f324(f61(x99321),x99324))+P1(f324(f324(f234(x99325),f324(f324(f8(x99321,x99325),x99322),x99323)),f324(f324(f8(x99321,x99325),x99322),x99324)))+~P1(f324(f324(f234(f928(x99321,a916)),x99323),x99324))+P1(f324(f324(f326(x99321),f350(x99322,x99323,x99324,x99321,x99325)),f324(f324(f3(f928(x99321,a916)),x99324),x99323))) % 194.45/194.28 [9948]~P113(x99481)+~P113(x99482)+~P38(x99482,x99481,x99483)+E(f238(x99481,f324(f324(f9(x99481,f928(x99481,a916),a916),f326(x99481)),f324(f307(x99482,x99481,x99483),x99484))),f324(x99483,f238(x99482,f324(f324(f9(x99482,f928(x99482,a916),a916),f326(x99482)),x99484))))+~P1(f324(f324(f326(x99482),x99485),x99484))+P1(f324(f324(f326(x99482),f511(x99484,x99483,x99482,x99481,x99485)),x99484)) % 194.45/194.28 [10025]E(x100251,f189(f928(x100252,a916)))+~P1(f324(f61(x100252),x100253))+~P1(f324(f61(x100252),x100251))+P1(f324(f324(f326(f927(f928(x100252,a916),f928(x100252,a916))),f324(f324(f252(f928(x100252,a916),f928(x100252,a916)),x100253),x100251)),f316(x100252,x100254)))+~P1(f324(f324(f326(x100252),x100255),x100251))+~P1(f324(f324(f326(f927(x100252,x100252)),f324(f324(f252(x100252,x100252),f562(x100254,x100251,x100253,x100252)),x100255)),x100254)) % 194.45/194.28 [10026]E(x100261,f189(f928(x100262,a916)))+~P1(f324(f61(x100262),x100263))+~P1(f324(f61(x100262),x100261))+P1(f324(f324(f326(f927(f928(x100262,a916),f928(x100262,a916))),f324(f324(f252(f928(x100262,a916),f928(x100262,a916)),x100263),x100261)),f316(x100262,x100264)))+~P1(f324(f324(f326(x100262),x100265),x100261))+~P1(f324(f324(f326(f927(x100262,x100262)),f324(f324(f252(x100262,x100262),f638(x100264,x100261,x100263,x100262)),x100265)),x100264)) % 194.45/194.28 [10180]~P86(x101801)+~E(f324(f324(f8(x101805,x101801),x101802),x101806),x101804)+~P1(f324(f61(x101805),x101806))+P1(f324(f324(f326(x101805),f461(x101803,x101804,x101802,x101806,x101805,x101801)),x101806))+P1(f324(f324(f234(x101801),f324(x101802,x101803)),x101804))+~P1(f324(f324(f326(x101805),x101803),x101806)) % 194.45/194.28 [10225]~P86(x102251)+~E(f324(f324(f8(x102255,x102251),x102252),x102256),x102254)+~P1(f324(f61(x102255),x102256))+~P1(f324(f324(f326(x102255),x102253),x102256))+~P1(f324(f324(f234(x102251),f2(x102251)),f324(x102252,f461(x102253,x102254,x102252,x102256,x102255,x102251))))+P1(f324(f324(f234(x102251),f324(x102252,x102253)),x102254)) % 194.45/194.28 [10360]~E(x103605,x103608)+~E(x103604,x103607)+~P111(x103601)+~P77(x103602)+E(f324(f324(f8(x103601,x103602),x103603),f324(f299(x103601,x103604),x103605)),f324(f324(f8(x103601,x103602),x103606),f324(f299(x103601,x103607),x103608)))+P1(f324(f324(f234(x103601),x103604),f641(x103603,x103606,x103605,x103608,x103604,x103607,x103601,x103602))) % 194.45/194.28 [10377]~E(x103777,x103774)+~E(x103778,x103775)+~P111(x103771)+~P77(x103772)+~E(f324(x103773,f641(x103776,x103773,x103778,x103775,x103777,x103774,x103771,x103772)),f324(x103776,f641(x103776,x103773,x103778,x103775,x103777,x103774,x103771,x103772)))+E(f324(f324(f8(x103771,x103772),x103773),f324(f299(x103771,x103774),x103775)),f324(f324(f8(x103771,x103772),x103776),f324(f299(x103771,x103777),x103778))) % 194.45/194.28 [10382]~E(x103824,x103827)+~E(x103825,x103828)+~P111(x103821)+~P77(x103822)+E(f324(f324(f8(x103821,x103822),x103823),f324(f299(x103821,x103824),x103825)),f324(f324(f8(x103821,x103822),x103826),f324(f299(x103821,x103827),x103828)))+P1(f324(f324(f235(x103821),f641(x103823,x103826,x103825,x103828,x103824,x103827,x103821,x103822)),x103825)) % 194.45/194.28 [10032]~P5(x100325,x100329,x100326)+~P5(x100321,x1003210,x100323)+~P9(x100321,x100325,f928(x100322,a916),x100323,x100326,x100328)+~P1(f324(f324(f326(x100325),x100327),x100329))+~P1(f324(f324(f326(x100321),x100324),x1003210))+E(f324(f324(f40(x100321,f928(x100322,a916)),f324(f283(x100321,x100321,x100323),f324(f324(f306(x100321),x100324),f189(f928(x100321,a916))))),f324(f324(f10(f928(x100325,f928(x100322,a916)),f928(x100322,a916),x100321),f324(f40(x100325,f928(x100322,a916)),f324(f283(x100325,x100325,x100326),f324(f324(f306(x100325),x100327),f189(f928(x100325,a916)))))),x100328)),f324(f324(x100328,x100324),x100327)) % 194.45/194.28 [5729]~P112(x57293)+~P10(x57293,x57292)+~P10(x57293,x57291)+E(x57291,x57292)+~E(f324(f172(x57293),x57291),f324(f172(x57293),x57292))+~P1(f324(f137(x57293),x57292))+~P1(f324(f137(x57293),x57291)) % 194.45/194.28 [5056]~P135(x50562)+~P136(x50562)+~P148(x50562)+~P119(x50562)+~E(x50563,f2(x50562))+E(x50561,f2(a920))+E(f324(f324(f244(x50562),x50563),x50561),f2(x50562)) % 194.45/194.28 [9317]E(x93171,f2(a920))+~E(x93172,f324(f324(f79(a920),f324(f324(f80(a920),f324(f251(a920,a920),x93173)),x93171)),f324(f256(a920,a920),x93173)))+P1(f324(f48(x93172,x93171),x93173))+~P1(f324(f324(f234(a920),f324(f256(a920,a920),x93173)),f2(a920)))+~P1(f324(f324(f234(a920),f2(a920)),f324(f256(a920,a920),x93173)))+~P1(f324(f324(f235(a920),x93171),f324(f256(a920,a920),x93173)))+~P1(f324(f324(f235(a920),f324(f256(a920,a920),x93173)),x93171)) % 194.45/194.28 [9326]~E(f324(f251(a920,a920),x93263),f2(a920))+~E(x93261,f324(f324(f79(a920),f324(f324(f80(a920),f324(f251(a920,a920),x93263)),x93262)),f324(f256(a920,a920),x93263)))+P1(f324(f48(x93261,x93262),x93263))+~P1(f324(f324(f234(a920),f324(f256(a920,a920),x93263)),f2(a920)))+~P1(f324(f324(f234(a920),f2(a920)),f324(f256(a920,a920),x93263)))+~P1(f324(f324(f235(a920),x93262),f324(f256(a920,a920),x93263)))+~P1(f324(f324(f235(a920),f324(f256(a920,a920),x93263)),x93262)) % 194.45/194.28 [8155]~P75(x81552)+E(x81551,f189(f928(x81552,a916)))+E(x81553,f189(f928(x81552,a916)))+~P1(f324(f61(x81552),x81551))+~P1(f324(f61(x81552),x81553))+~E(f324(f324(f103(f928(x81552,a916)),x81553),x81551),f189(f928(x81552,a916)))+E(f324(f324(f80(x81552),f324(f63(x81552,f80(x81552)),x81553)),f324(f63(x81552,f80(x81552)),x81551)),f324(f63(x81552,f80(x81552)),f324(f324(f112(f928(x81552,a916)),x81553),x81551))) % 194.45/194.28 [7929]E(x79291,f2(a1))+E(f324(f324(f36(a1),x79292),x79291),x79293)+~P1(f324(f324(f234(a1),x79294),f2(a1)))+~E(x79292,f324(f324(f79(a1),f324(f324(f80(a1),x79291),x79293)),x79294))+~P1(f324(f324(f234(a1),f2(a1)),x79294))+~P1(f324(f324(f235(a1),x79294),x79291))+~P1(f324(f324(f235(a1),x79291),x79294)) % 194.45/194.28 [7937]E(f45(a1,x79372,x79371),x79373)+E(x79371,f2(a1))+~P1(f324(f324(f234(a1),x79373),f2(a1)))+~E(x79372,f324(f324(f79(a1),f324(f324(f80(a1),x79371),x79374)),x79373))+~P1(f324(f324(f234(a1),f2(a1)),x79373))+~P1(f324(f324(f235(a1),x79373),x79371))+~P1(f324(f324(f235(a1),x79371),x79373)) % 194.45/194.28 [7844]~P16(x78442,x78445,x78444)+E(x78441,f189(f928(x78442,a916)))+E(x78443,f189(f928(x78442,a916)))+~P1(f324(f61(x78442),x78441))+~P1(f324(f61(x78442),x78443))+~E(f324(f324(f103(f928(x78442,a916)),x78443),x78441),f189(f928(x78442,a916)))+E(f324(x78444,f324(f324(f112(f928(x78442,a916)),x78443),x78441)),f324(f324(x78445,f324(x78444,x78443)),f324(x78444,x78441))) % 194.45/194.28 [9567]~P22(x95673,x95671,x95675,x95674)+~P22(x95671,x95673,x95676,x95672)+E(f324(f35(x95671),x95672),f324(f35(x95673),x95674))+~P1(f324(f61(x95673),x95674))+~P1(f324(f61(x95671),x95672))+~P1(f324(f324(f234(f928(x95673,a916)),f324(f307(x95671,x95673,x95676),x95672)),x95674))+~P1(f324(f324(f234(f928(x95671,a916)),f324(f307(x95673,x95671,x95675),x95674)),x95672)) % 194.45/194.28 [9511]~P1(f324(f324(f235(a1),f324(f324(f79(a1),f324(f324(f80(a1),x95115),x95111)),x95116)),f2(a1)))+~E(f324(f324(f79(a1),f324(f324(f80(a1),x95113),x95112)),x95114),f324(f324(f79(a1),f324(f324(f80(a1),x95115),x95111)),x95116))+~P1(f324(f324(f234(a1),f2(a1)),x95116))+~P1(f324(f324(f235(a1),f2(a1)),x95115))+~P1(f324(f324(f234(a1),x95115),x95113))+~P1(f324(f324(f235(a1),x95114),x95113))+P1(f324(f324(f234(a1),x95111),x95112)) % 194.45/194.28 [9260]~E(f324(f324(f79(a1),f324(f324(f80(a1),x92603),x92601)),x92604),f324(f324(f79(a1),f324(f324(f80(a1),x92605),x92602)),x92606))+~P1(f324(f324(f234(a1),f2(a1)),x92604))+~P1(f324(f324(f235(a1),f2(a1)),x92605))+~P1(f324(f324(f234(a1),x92605),x92603))+~P1(f324(f324(f235(a1),x92606),x92605))+P1(f324(f324(f234(a1),x92601),x92602))+~P1(f324(f324(f234(a1),f2(a1)),f324(f324(f79(a1),f324(f324(f80(a1),x92605),x92602)),x92606))) % 194.45/194.28 [9449]~P134(x94491)+~E(f324(f324(f79(x94491),x94492),x94494),f77(x94491))+~P1(f324(f324(f234(x94491),x94495),x94496))+~P1(f324(f324(f234(x94491),x94493),x94496))+~P1(f324(f324(f234(x94491),f2(x94491)),x94494))+~P1(f324(f324(f234(x94491),f2(x94491)),x94492))+P1(f324(f324(f234(x94491),f324(f324(f79(x94491),f324(f324(f80(x94491),x94492),x94493)),f324(f324(f80(x94491),x94494),x94495))),x94496)) % 194.45/194.28 [9450]~P132(x94501)+~E(f324(f324(f79(x94501),x94502),x94504),f77(x94501))+~P1(f324(f324(f234(x94501),f2(x94501)),x94504))+~P1(f324(f324(f234(x94501),f2(x94501)),x94502))+~P1(f324(f324(f235(x94501),x94505),x94506))+~P1(f324(f324(f235(x94501),x94503),x94506))+P1(f324(f324(f235(x94501),f324(f324(f79(x94501),f324(f324(f80(x94501),x94502),x94503)),f324(f324(f80(x94501),x94504),x94505))),x94506)) % 194.45/194.28 [10275]~P5(x102757,x102756,x102755)+E(x102751,x102752)+~P8(x102757,f928(x102754,a916),x102755,x102753)+E(f324(x102753,f538(x102751,x102752,x102753,x102754,x102755,x102756,x102757)),f324(x102753,f539(x102751,x102752,x102753,x102754,x102755,x102756,x102757)))+~E(f324(f324(f40(x102757,f928(x102754,a916)),x102751),x102753),f324(f324(f40(x102757,f928(x102754,a916)),x102752),x102753))+~P1(f324(f324(f326(f928(x102757,a916)),x102752),f324(f324(f60(x102757),x102756),x102755)))+~P1(f324(f324(f326(f928(x102757,a916)),x102751),f324(f324(f60(x102757),x102756),x102755))) % 194.45/194.28 [10317]~P5(x103173,x103177,x103176)+E(x103171,x103172)+~P8(x103173,f928(x103175,a916),x103176,x103174)+~E(f324(f324(f40(x103173,f928(x103175,a916)),x103171),x103174),f324(f324(f40(x103173,f928(x103175,a916)),x103172),x103174))+P1(f324(f324(f326(x103173),f539(x103171,x103172,x103174,x103175,x103176,x103177,x103173)),x103177))+~P1(f324(f324(f326(f928(x103173,a916)),x103172),f324(f324(f60(x103173),x103177),x103176)))+~P1(f324(f324(f326(f928(x103173,a916)),x103171),f324(f324(f60(x103173),x103177),x103176))) % 194.45/194.28 [10318]~P5(x103183,x103187,x103186)+E(x103181,x103182)+~P8(x103183,f928(x103185,a916),x103186,x103184)+~E(f324(f324(f40(x103183,f928(x103185,a916)),x103181),x103184),f324(f324(f40(x103183,f928(x103185,a916)),x103182),x103184))+P1(f324(f324(f326(x103183),f538(x103181,x103182,x103184,x103185,x103186,x103187,x103183)),x103187))+~P1(f324(f324(f326(f928(x103183,a916)),x103182),f324(f324(f60(x103183),x103187),x103186)))+~P1(f324(f324(f326(f928(x103183,a916)),x103181),f324(f324(f60(x103183),x103187),x103186))) % 194.45/194.28 [10396]E(x103961,x103962)+~P5(x103963,x103966,x103967)+~P8(x103963,f928(x103964,a916),x103967,x103965)+~E(f324(f324(f40(x103963,f928(x103964,a916)),x103961),x103965),f324(f324(f40(x103963,f928(x103964,a916)),x103962),x103965))+~P1(f324(f324(f326(f927(x103963,x103963)),f324(f324(f252(x103963,x103963),f539(x103961,x103962,x103965,x103964,x103967,x103966,x103963)),f538(x103961,x103962,x103965,x103964,x103967,x103966,x103963))),x103967))+~P1(f324(f324(f326(f928(x103963,a916)),x103962),f324(f324(f60(x103963),x103966),x103967)))+~P1(f324(f324(f326(f928(x103963,a916)),x103961),f324(f324(f60(x103963),x103966),x103967))) % 194.45/194.28 [9259]~P5(x92591,x92597,x92594)+~E(x92595,x92596)+~P1(f324(f324(f326(x92591),x92593),x92596))+~P1(f324(f324(f326(x92591),x92592),x92595))+~P1(f324(f324(f326(f928(x92591,a916)),x92596),f324(f324(f60(x92591),x92597),x92594)))+~P1(f324(f324(f326(f928(x92591,a916)),x92595),f324(f324(f60(x92591),x92597),x92594)))+P1(f324(f324(f326(f927(x92591,x92591)),f324(f324(f252(x92591,x92591),x92592),x92593)),x92594)) % 194.45/194.28 [9407]E(x94071,x94072)+~P5(x94073,x94074,x94075)+~P1(f324(f324(f326(x94073),x94076),x94072))+~P1(f324(f324(f326(x94073),x94077),x94071))+~P1(f324(f324(f326(f928(x94073,a916)),x94072),f324(f324(f60(x94073),x94074),x94075)))+~P1(f324(f324(f326(f928(x94073,a916)),x94071),f324(f324(f60(x94073),x94074),x94075)))+~P1(f324(f324(f326(f927(x94073,x94073)),f324(f324(f252(x94073,x94073),x94077),x94076)),x94075)) % 194.45/194.28 [10416]~P5(x104169,x104168,x104167)+~P5(x104161,x1041611,x1041610)+~P9(x104161,x104169,f928(x104166,a916),x1041610,x104167,x104165)+P1(f324(f324(f326(x104161),f544(x104162,x104163,x104164,x104165,x104166,x104167,x104168,x104169,x1041610,x1041611,x104161)),x1041611))+~P1(f324(f324(f326(f928(x104169,a916)),x104163),f324(f324(f60(x104169),x104168),x104167)))+~P1(f324(f324(f326(f928(x104161,a916)),x104164),f324(f324(f60(x104161),x1041611),x1041610)))+P1(f324(f324(f326(f928(x104166,a916)),f324(f324(f40(x104161,f928(x104166,a916)),x104164),f324(f324(f10(f928(x104169,f928(x104166,a916)),f928(x104166,a916),x104161),f324(f40(x104169,f928(x104166,a916)),x104163)),x104165))),x104162)) % 194.45/194.28 [10417]~P5(x1041711,x1041710,x104179)+~P5(x104171,x104178,x104177)+~P9(x1041711,x104171,f928(x104176,a916),x104179,x104177,x104175)+P1(f324(f324(f326(x104171),f545(x104172,x104173,x104174,x104175,x104176,x104177,x104178,x104171,x104179,x1041710,x1041711)),x104178))+~P1(f324(f324(f326(f928(x1041711,a916)),x104174),f324(f324(f60(x1041711),x1041710),x104179)))+~P1(f324(f324(f326(f928(x104171,a916)),x104173),f324(f324(f60(x104171),x104178),x104177)))+P1(f324(f324(f326(f928(x104176,a916)),f324(f324(f40(x1041711,f928(x104176,a916)),x104174),f324(f324(f10(f928(x104171,f928(x104176,a916)),f928(x104176,a916),x1041711),f324(f40(x104171,f928(x104176,a916)),x104173)),x104175))),x104172)) % 194.45/194.28 [10420]~P5(x104202,x104208,x104209)+~P5(x104204,x1042010,x1042011)+~P9(x104202,x104204,f928(x104201,a916),x104209,x1042011,x104206)+~P1(f324(f324(f326(f928(x104202,a916)),x104203),f324(f324(f60(x104202),x104208),x104209)))+~P1(f324(f324(f326(f928(x104204,a916)),x104205),f324(f324(f60(x104204),x1042010),x1042011)))+~P1(f324(f324(f326(f928(x104201,a916)),f324(f324(x104206,f544(x104207,x104205,x104203,x104206,x104201,x1042011,x1042010,x104204,x104209,x104208,x104202)),f545(x104207,x104205,x104203,x104206,x104201,x1042011,x1042010,x104204,x104209,x104208,x104202))),x104207))+P1(f324(f324(f326(f928(x104201,a916)),f324(f324(f40(x104202,f928(x104201,a916)),x104203),f324(f324(f10(f928(x104204,f928(x104201,a916)),f928(x104201,a916),x104202),f324(f40(x104204,f928(x104201,a916)),x104205)),x104206))),x104207)) % 194.45/194.28 [9303]E(x93031,x93032)+~P112(x93034)+~P22(x93033,x93034,x93035,f324(f324(f112(f928(x93033,a916)),f324(f172(x93033),x93031)),f324(f172(x93033),x93032)))+~E(f324(f172(x93033),x93031),f324(f172(x93033),x93032))+~P10(x93034,f324(f324(f154(x93033,x93034),x93035),x93032))+~P10(x93034,f324(f324(f154(x93033,x93034),x93035),x93031))+~P1(f324(f137(x93034),f324(f324(f154(x93033,x93034),x93035),x93032)))+~P1(f324(f137(x93034),f324(f324(f154(x93033,x93034),x93035),x93031))) % 194.45/194.28 %EqnAxiom % 194.45/194.28 [1]E(x11,x11) % 194.45/194.28 [2]E(x22,x21)+~E(x21,x22) % 194.45/194.28 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 194.45/194.28 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 194.45/194.28 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 194.45/194.28 [6]~E(x61,x62)+E(f102(x61),f102(x62)) % 194.45/194.28 [7]~E(x71,x72)+E(f103(x71),f103(x72)) % 194.45/194.28 [8]~E(x81,x82)+E(f188(x81),f188(x82)) % 194.45/194.28 [9]~E(x91,x92)+E(f189(x91),f189(x92)) % 194.45/194.28 [10]~E(x101,x102)+E(f324(x101,x103),f324(x102,x103)) % 194.45/194.28 [11]~E(x111,x112)+E(f324(x113,x111),f324(x113,x112)) % 194.45/194.28 [12]~E(x121,x122)+E(f28(x121),f28(x122)) % 194.45/194.28 [13]~E(x131,x132)+E(f79(x131),f79(x132)) % 194.45/194.28 [14]~E(x141,x142)+E(f112(x141),f112(x142)) % 194.45/194.28 [15]~E(x151,x152)+E(f233(x151),f233(x152)) % 194.45/194.28 [16]~E(x161,x162)+E(f104(x161),f104(x162)) % 194.45/194.28 [17]~E(x171,x172)+E(f31(x171),f31(x172)) % 194.45/194.28 [18]~E(x181,x182)+E(f83(x181),f83(x182)) % 194.45/194.28 [19]~E(x191,x192)+E(f928(x191,x193),f928(x192,x193)) % 194.45/194.28 [20]~E(x201,x202)+E(f928(x203,x201),f928(x203,x202)) % 194.45/194.28 [21]~E(x211,x212)+E(f257(x211,x213,x214),f257(x212,x213,x214)) % 194.45/194.28 [22]~E(x221,x222)+E(f257(x223,x221,x224),f257(x223,x222,x224)) % 194.45/194.28 [23]~E(x231,x232)+E(f257(x233,x234,x231),f257(x233,x234,x232)) % 194.45/194.28 [24]~E(x241,x242)+E(f545(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f545(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 194.45/194.28 [25]~E(x251,x252)+E(f545(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f545(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 194.45/194.28 [26]~E(x261,x262)+E(f545(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f545(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612)) % 194.45/194.28 [27]~E(x271,x272)+E(f545(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f545(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712)) % 194.45/194.28 [28]~E(x281,x282)+E(f545(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f545(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812)) % 194.45/194.28 [29]~E(x291,x292)+E(f545(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f545(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912)) % 194.45/194.28 [30]~E(x301,x302)+E(f545(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f545(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012)) % 194.45/194.28 [31]~E(x311,x312)+E(f545(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f545(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112)) % 194.45/194.28 [32]~E(x321,x322)+E(f545(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f545(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212)) % 194.45/194.28 [33]~E(x331,x332)+E(f545(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f545(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312)) % 194.45/194.28 [34]~E(x341,x342)+E(f545(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f545(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342)) % 194.45/194.28 [35]~E(x351,x352)+E(f77(x351),f77(x352)) % 194.45/194.28 [36]~E(x361,x362)+E(f151(x361),f151(x362)) % 194.45/194.28 [37]~E(x371,x372)+E(f544(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f544(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 194.45/194.28 [38]~E(x381,x382)+E(f544(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f544(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 194.45/194.28 [39]~E(x391,x392)+E(f544(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f544(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 194.45/194.28 [40]~E(x401,x402)+E(f544(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f544(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012)) % 194.45/194.28 [41]~E(x411,x412)+E(f544(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f544(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112)) % 194.45/194.28 [42]~E(x421,x422)+E(f544(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f544(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212)) % 194.45/194.28 [43]~E(x431,x432)+E(f544(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f544(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312)) % 194.45/194.28 [44]~E(x441,x442)+E(f544(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f544(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412)) % 194.45/194.28 [45]~E(x451,x452)+E(f544(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f544(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512)) % 194.45/194.28 [46]~E(x461,x462)+E(f544(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f544(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612)) % 194.45/194.28 [47]~E(x471,x472)+E(f544(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f544(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472)) % 194.45/194.28 [48]~E(x481,x482)+E(f6(x481),f6(x482)) % 194.45/194.28 [49]~E(x491,x492)+E(f326(x491),f326(x492)) % 194.45/194.28 [50]~E(x501,x502)+E(f927(x501,x503),f927(x502,x503)) % 194.45/194.28 [51]~E(x511,x512)+E(f927(x513,x511),f927(x513,x512)) % 194.45/194.28 [52]~E(x521,x522)+E(f113(x521),f113(x522)) % 194.45/194.28 [53]~E(x531,x532)+E(f105(x531),f105(x532)) % 194.45/194.28 [54]~E(x541,x542)+E(f919(x541),f919(x542)) % 194.45/194.28 [55]~E(x551,x552)+E(f924(x551),f924(x552)) % 194.45/194.28 [56]~E(x561,x562)+E(f921(x561),f921(x562)) % 194.45/194.28 [57]~E(x571,x572)+E(f922(x571),f922(x572)) % 194.45/194.28 [58]~E(x581,x582)+E(f78(x581),f78(x582)) % 194.45/194.28 [59]~E(x591,x592)+E(f80(x591),f80(x592)) % 194.45/194.28 [60]~E(x601,x602)+E(f190(x601),f190(x602)) % 194.45/194.28 [61]~E(x611,x612)+E(f287(x611),f287(x612)) % 194.45/194.28 [62]~E(x621,x622)+E(f252(x621,x623),f252(x622,x623)) % 194.45/194.28 [63]~E(x631,x632)+E(f252(x633,x631),f252(x633,x632)) % 194.45/194.28 [64]~E(x641,x642)+E(f235(x641),f235(x642)) % 194.45/194.28 [65]~E(x651,x652)+E(f36(x651),f36(x652)) % 194.45/194.28 [66]~E(x661,x662)+E(f262(x661),f262(x662)) % 194.45/194.28 [67]~E(x671,x672)+E(f154(x671,x673),f154(x672,x673)) % 194.45/194.28 [68]~E(x681,x682)+E(f154(x683,x681),f154(x683,x682)) % 194.45/194.28 [69]~E(x691,x692)+E(f904(x691,x693,x694),f904(x692,x693,x694)) % 194.45/194.28 [70]~E(x701,x702)+E(f904(x703,x701,x704),f904(x703,x702,x704)) % 194.45/194.28 [71]~E(x711,x712)+E(f904(x713,x714,x711),f904(x713,x714,x712)) % 194.45/194.28 [72]~E(x721,x722)+E(f137(x721),f137(x722)) % 194.45/194.28 [73]~E(x731,x732)+E(f10(x731,x733,x734),f10(x732,x733,x734)) % 194.45/194.28 [74]~E(x741,x742)+E(f10(x743,x741,x744),f10(x743,x742,x744)) % 194.45/194.28 [75]~E(x751,x752)+E(f10(x753,x754,x751),f10(x753,x754,x752)) % 194.45/194.28 [76]~E(x761,x762)+E(f452(x761),f452(x762)) % 194.45/194.28 [77]~E(x771,x772)+E(f35(x771),f35(x772)) % 194.45/194.28 [78]~E(x781,x782)+E(f115(x781),f115(x782)) % 194.45/194.28 [79]~E(x791,x792)+E(f300(x791,x793,x794),f300(x792,x793,x794)) % 194.45/194.28 [80]~E(x801,x802)+E(f300(x803,x801,x804),f300(x803,x802,x804)) % 194.45/194.28 [81]~E(x811,x812)+E(f300(x813,x814,x811),f300(x813,x814,x812)) % 194.45/194.28 [82]~E(x821,x822)+E(f244(x821),f244(x822)) % 194.45/194.28 [83]~E(x831,x832)+E(f60(x831),f60(x832)) % 194.45/194.28 [84]~E(x841,x842)+E(f786(x841,x843,x844),f786(x842,x843,x844)) % 194.45/194.28 [85]~E(x851,x852)+E(f786(x853,x851,x854),f786(x853,x852,x854)) % 194.45/194.28 [86]~E(x861,x862)+E(f786(x863,x864,x861),f786(x863,x864,x862)) % 194.45/194.28 [87]~E(x871,x872)+E(f39(x871,x873),f39(x872,x873)) % 194.45/194.28 [88]~E(x881,x882)+E(f39(x883,x881),f39(x883,x882)) % 194.45/194.28 [89]~E(x891,x892)+E(f138(x891),f138(x892)) % 194.45/194.28 [90]~E(x901,x902)+E(f8(x901,x903),f8(x902,x903)) % 194.45/194.28 [91]~E(x911,x912)+E(f8(x913,x911),f8(x913,x912)) % 194.45/194.28 [92]~E(x921,x922)+E(f483(x921,x923,x924,x925),f483(x922,x923,x924,x925)) % 194.45/194.28 [93]~E(x931,x932)+E(f483(x933,x931,x934,x935),f483(x933,x932,x934,x935)) % 194.45/194.28 [94]~E(x941,x942)+E(f483(x943,x944,x941,x945),f483(x943,x944,x942,x945)) % 194.45/194.28 [95]~E(x951,x952)+E(f483(x953,x954,x955,x951),f483(x953,x954,x955,x952)) % 194.45/194.28 [96]~E(x961,x962)+E(f234(x961),f234(x962)) % 194.45/194.28 [97]~E(x971,x972)+E(f185(x971,x973,x974,x975),f185(x972,x973,x974,x975)) % 194.45/194.28 [98]~E(x981,x982)+E(f185(x983,x981,x984,x985),f185(x983,x982,x984,x985)) % 194.45/194.28 [99]~E(x991,x992)+E(f185(x993,x994,x991,x995),f185(x993,x994,x992,x995)) % 194.45/194.28 [100]~E(x1001,x1002)+E(f185(x1003,x1004,x1005,x1001),f185(x1003,x1004,x1005,x1002)) % 194.45/194.28 [101]~E(x1011,x1012)+E(f484(x1011,x1013,x1014,x1015),f484(x1012,x1013,x1014,x1015)) % 194.45/194.28 [102]~E(x1021,x1022)+E(f484(x1023,x1021,x1024,x1025),f484(x1023,x1022,x1024,x1025)) % 194.45/194.28 [103]~E(x1031,x1032)+E(f484(x1033,x1034,x1031,x1035),f484(x1033,x1034,x1032,x1035)) % 194.45/194.28 [104]~E(x1041,x1042)+E(f484(x1043,x1044,x1045,x1041),f484(x1043,x1044,x1045,x1042)) % 194.45/194.28 [105]~E(x1051,x1052)+E(f40(x1051,x1053),f40(x1052,x1053)) % 194.45/194.28 [106]~E(x1061,x1062)+E(f40(x1063,x1061),f40(x1063,x1062)) % 194.45/194.28 [107]~E(x1071,x1072)+E(f863(x1071,x1073,x1074),f863(x1072,x1073,x1074)) % 194.45/194.28 [108]~E(x1081,x1082)+E(f863(x1083,x1081,x1084),f863(x1083,x1082,x1084)) % 194.45/194.28 [109]~E(x1091,x1092)+E(f863(x1093,x1094,x1091),f863(x1093,x1094,x1092)) % 194.45/194.28 [110]~E(x1101,x1102)+E(f724(x1101,x1103,x1104,x1105,x1106),f724(x1102,x1103,x1104,x1105,x1106)) % 194.45/194.28 [111]~E(x1111,x1112)+E(f724(x1113,x1111,x1114,x1115,x1116),f724(x1113,x1112,x1114,x1115,x1116)) % 194.45/194.28 [112]~E(x1121,x1122)+E(f724(x1123,x1124,x1121,x1125,x1126),f724(x1123,x1124,x1122,x1125,x1126)) % 194.45/194.28 [113]~E(x1131,x1132)+E(f724(x1133,x1134,x1135,x1131,x1136),f724(x1133,x1134,x1135,x1132,x1136)) % 194.45/194.28 [114]~E(x1141,x1142)+E(f724(x1143,x1144,x1145,x1146,x1141),f724(x1143,x1144,x1145,x1146,x1142)) % 194.45/194.28 [115]~E(x1151,x1152)+E(f304(x1151,x1153),f304(x1152,x1153)) % 194.45/194.28 [116]~E(x1161,x1162)+E(f304(x1163,x1161),f304(x1163,x1162)) % 194.45/194.28 [117]~E(x1171,x1172)+E(f172(x1171),f172(x1172)) % 194.45/194.28 [118]~E(x1181,x1182)+E(f550(x1181,x1183,x1184,x1185),f550(x1182,x1183,x1184,x1185)) % 194.45/194.28 [119]~E(x1191,x1192)+E(f550(x1193,x1191,x1194,x1195),f550(x1193,x1192,x1194,x1195)) % 194.45/194.28 [120]~E(x1201,x1202)+E(f550(x1203,x1204,x1201,x1205),f550(x1203,x1204,x1202,x1205)) % 194.45/194.28 [121]~E(x1211,x1212)+E(f550(x1213,x1214,x1215,x1211),f550(x1213,x1214,x1215,x1212)) % 194.45/194.28 [122]~E(x1221,x1222)+E(f43(x1221),f43(x1222)) % 194.45/194.28 [123]~E(x1231,x1232)+E(f307(x1231,x1233,x1234),f307(x1232,x1233,x1234)) % 194.45/194.28 [124]~E(x1241,x1242)+E(f307(x1243,x1241,x1244),f307(x1243,x1242,x1244)) % 194.45/194.28 [125]~E(x1251,x1252)+E(f307(x1253,x1254,x1251),f307(x1253,x1254,x1252)) % 194.45/194.28 [126]~E(x1261,x1262)+E(f61(x1261),f61(x1262)) % 194.45/194.28 [127]~E(x1271,x1272)+E(f232(x1271,x1273,x1274,x1275),f232(x1272,x1273,x1274,x1275)) % 194.45/194.28 [128]~E(x1281,x1282)+E(f232(x1283,x1281,x1284,x1285),f232(x1283,x1282,x1284,x1285)) % 194.45/194.28 [129]~E(x1291,x1292)+E(f232(x1293,x1294,x1291,x1295),f232(x1293,x1294,x1292,x1295)) % 194.45/194.28 [130]~E(x1301,x1302)+E(f232(x1303,x1304,x1305,x1301),f232(x1303,x1304,x1305,x1302)) % 194.45/194.28 [131]~E(x1311,x1312)+E(f159(x1311,x1313),f159(x1312,x1313)) % 194.45/194.28 [132]~E(x1321,x1322)+E(f159(x1323,x1321),f159(x1323,x1322)) % 194.45/194.28 [133]~E(x1331,x1332)+E(f89(x1331,x1333),f89(x1332,x1333)) % 194.45/194.28 [134]~E(x1341,x1342)+E(f89(x1343,x1341),f89(x1343,x1342)) % 194.45/194.28 [135]~E(x1351,x1352)+E(f11(x1351,x1353),f11(x1352,x1353)) % 194.45/194.28 [136]~E(x1361,x1362)+E(f11(x1363,x1361),f11(x1363,x1362)) % 194.45/194.28 [137]~E(x1371,x1372)+E(f306(x1371),f306(x1372)) % 194.45/194.28 [138]~E(x1381,x1382)+E(f16(x1381,x1383),f16(x1382,x1383)) % 194.45/194.28 [139]~E(x1391,x1392)+E(f16(x1393,x1391),f16(x1393,x1392)) % 194.45/194.28 [140]~E(x1401,x1402)+E(f809(x1401,x1403,x1404,x1405),f809(x1402,x1403,x1404,x1405)) % 194.45/194.28 [141]~E(x1411,x1412)+E(f809(x1413,x1411,x1414,x1415),f809(x1413,x1412,x1414,x1415)) % 194.45/194.28 [142]~E(x1421,x1422)+E(f809(x1423,x1424,x1421,x1425),f809(x1423,x1424,x1422,x1425)) % 194.45/194.28 [143]~E(x1431,x1432)+E(f809(x1433,x1434,x1435,x1431),f809(x1433,x1434,x1435,x1432)) % 194.45/194.28 [144]~E(x1441,x1442)+E(f286(x1441,x1443,x1444),f286(x1442,x1443,x1444)) % 194.45/194.28 [145]~E(x1451,x1452)+E(f286(x1453,x1451,x1454),f286(x1453,x1452,x1454)) % 194.45/194.28 [146]~E(x1461,x1462)+E(f286(x1463,x1464,x1461),f286(x1463,x1464,x1462)) % 194.45/194.28 [147]~E(x1471,x1472)+E(f167(x1471),f167(x1472)) % 194.45/194.28 [148]~E(x1481,x1482)+E(f504(x1481,x1483),f504(x1482,x1483)) % 194.45/194.28 [149]~E(x1491,x1492)+E(f504(x1493,x1491),f504(x1493,x1492)) % 194.45/194.28 [150]~E(x1501,x1502)+E(f107(x1501),f107(x1502)) % 194.45/194.28 [151]~E(x1511,x1512)+E(f109(x1511),f109(x1512)) % 194.45/194.28 [152]~E(x1521,x1522)+E(f325(x1521),f325(x1522)) % 194.45/194.28 [153]~E(x1531,x1532)+E(f164(x1531),f164(x1532)) % 194.45/194.28 [154]~E(x1541,x1542)+E(f609(x1541),f609(x1542)) % 194.45/194.28 [155]~E(x1551,x1552)+E(f68(x1551,x1553,x1554),f68(x1552,x1553,x1554)) % 194.45/194.28 [156]~E(x1561,x1562)+E(f68(x1563,x1561,x1564),f68(x1563,x1562,x1564)) % 194.45/194.28 [157]~E(x1571,x1572)+E(f68(x1573,x1574,x1571),f68(x1573,x1574,x1572)) % 194.45/194.28 [158]~E(x1581,x1582)+E(f17(x1581,x1583),f17(x1582,x1583)) % 194.45/194.28 [159]~E(x1591,x1592)+E(f17(x1593,x1591),f17(x1593,x1592)) % 194.45/194.28 [160]~E(x1601,x1602)+E(f241(x1601,x1603),f241(x1602,x1603)) % 194.45/194.28 [161]~E(x1611,x1612)+E(f241(x1613,x1611),f241(x1613,x1612)) % 194.45/194.28 [162]~E(x1621,x1622)+E(f251(x1621,x1623),f251(x1622,x1623)) % 194.45/194.28 [163]~E(x1631,x1632)+E(f251(x1633,x1631),f251(x1633,x1632)) % 194.45/194.28 [164]~E(x1641,x1642)+E(f18(x1641,x1643),f18(x1642,x1643)) % 194.45/194.28 [165]~E(x1651,x1652)+E(f18(x1653,x1651),f18(x1653,x1652)) % 194.45/194.28 [166]~E(x1661,x1662)+E(f258(x1661,x1663,x1664,x1665,x1666,x1667),f258(x1662,x1663,x1664,x1665,x1666,x1667)) % 194.45/194.28 [167]~E(x1671,x1672)+E(f258(x1673,x1671,x1674,x1675,x1676,x1677),f258(x1673,x1672,x1674,x1675,x1676,x1677)) % 194.45/194.28 [168]~E(x1681,x1682)+E(f258(x1683,x1684,x1681,x1685,x1686,x1687),f258(x1683,x1684,x1682,x1685,x1686,x1687)) % 194.45/194.28 [169]~E(x1691,x1692)+E(f258(x1693,x1694,x1695,x1691,x1696,x1697),f258(x1693,x1694,x1695,x1692,x1696,x1697)) % 194.45/194.28 [170]~E(x1701,x1702)+E(f258(x1703,x1704,x1705,x1706,x1701,x1707),f258(x1703,x1704,x1705,x1706,x1702,x1707)) % 194.45/194.28 [171]~E(x1711,x1712)+E(f258(x1713,x1714,x1715,x1716,x1717,x1711),f258(x1713,x1714,x1715,x1716,x1717,x1712)) % 194.45/194.28 [172]~E(x1721,x1722)+E(f555(x1721,x1723,x1724,x1725,x1726),f555(x1722,x1723,x1724,x1725,x1726)) % 194.45/194.28 [173]~E(x1731,x1732)+E(f555(x1733,x1731,x1734,x1735,x1736),f555(x1733,x1732,x1734,x1735,x1736)) % 194.45/194.28 [174]~E(x1741,x1742)+E(f555(x1743,x1744,x1741,x1745,x1746),f555(x1743,x1744,x1742,x1745,x1746)) % 194.45/194.28 [175]~E(x1751,x1752)+E(f555(x1753,x1754,x1755,x1751,x1756),f555(x1753,x1754,x1755,x1752,x1756)) % 194.45/194.28 [176]~E(x1761,x1762)+E(f555(x1763,x1764,x1765,x1766,x1761),f555(x1763,x1764,x1765,x1766,x1762)) % 194.45/194.28 [177]~E(x1771,x1772)+E(f7(x1771),f7(x1772)) % 194.45/194.28 [178]~E(x1781,x1782)+E(f9(x1781,x1783,x1784),f9(x1782,x1783,x1784)) % 194.45/194.28 [179]~E(x1791,x1792)+E(f9(x1793,x1791,x1794),f9(x1793,x1792,x1794)) % 194.45/194.28 [180]~E(x1801,x1802)+E(f9(x1803,x1804,x1801),f9(x1803,x1804,x1802)) % 194.45/194.28 [181]~E(x1811,x1812)+E(f45(x1811,x1813,x1814),f45(x1812,x1813,x1814)) % 194.45/194.28 [182]~E(x1821,x1822)+E(f45(x1823,x1821,x1824),f45(x1823,x1822,x1824)) % 194.45/194.28 [183]~E(x1831,x1832)+E(f45(x1833,x1834,x1831),f45(x1833,x1834,x1832)) % 194.45/194.28 [184]~E(x1841,x1842)+E(f242(x1841),f242(x1842)) % 194.45/194.28 [185]~E(x1851,x1852)+E(f312(x1851,x1853),f312(x1852,x1853)) % 194.45/194.28 [186]~E(x1861,x1862)+E(f312(x1863,x1861),f312(x1863,x1862)) % 194.45/194.28 [187]~E(x1871,x1872)+E(f699(x1871,x1873,x1874,x1875),f699(x1872,x1873,x1874,x1875)) % 194.45/194.28 [188]~E(x1881,x1882)+E(f699(x1883,x1881,x1884,x1885),f699(x1883,x1882,x1884,x1885)) % 194.45/194.28 [189]~E(x1891,x1892)+E(f699(x1893,x1894,x1891,x1895),f699(x1893,x1894,x1892,x1895)) % 194.45/194.28 [190]~E(x1901,x1902)+E(f699(x1903,x1904,x1905,x1901),f699(x1903,x1904,x1905,x1902)) % 194.45/194.28 [191]~E(x1911,x1912)+E(f72(x1911,x1913,x1914,x1915),f72(x1912,x1913,x1914,x1915)) % 194.45/194.28 [192]~E(x1921,x1922)+E(f72(x1923,x1921,x1924,x1925),f72(x1923,x1922,x1924,x1925)) % 194.45/194.28 [193]~E(x1931,x1932)+E(f72(x1933,x1934,x1931,x1935),f72(x1933,x1934,x1932,x1935)) % 194.45/194.28 [194]~E(x1941,x1942)+E(f72(x1943,x1944,x1945,x1941),f72(x1943,x1944,x1945,x1942)) % 194.45/194.28 [195]~E(x1951,x1952)+E(f365(x1951,x1953,x1954),f365(x1952,x1953,x1954)) % 194.45/194.28 [196]~E(x1961,x1962)+E(f365(x1963,x1961,x1964),f365(x1963,x1962,x1964)) % 194.45/194.28 [197]~E(x1971,x1972)+E(f365(x1973,x1974,x1971),f365(x1973,x1974,x1972)) % 194.45/194.28 [198]~E(x1981,x1982)+E(f134(x1981),f134(x1982)) % 194.45/194.28 [199]~E(x1991,x1992)+E(f249(x1991,x1993,x1994),f249(x1992,x1993,x1994)) % 194.45/194.28 [200]~E(x2001,x2002)+E(f249(x2003,x2001,x2004),f249(x2003,x2002,x2004)) % 194.45/194.28 [201]~E(x2011,x2012)+E(f249(x2013,x2014,x2011),f249(x2013,x2014,x2012)) % 194.45/194.28 [202]~E(x2021,x2022)+E(f704(x2021,x2023,x2024),f704(x2022,x2023,x2024)) % 194.45/194.28 [203]~E(x2031,x2032)+E(f704(x2033,x2031,x2034),f704(x2033,x2032,x2034)) % 194.45/194.28 [204]~E(x2041,x2042)+E(f704(x2043,x2044,x2041),f704(x2043,x2044,x2042)) % 194.45/194.28 [205]~E(x2051,x2052)+E(f611(x2051,x2053),f611(x2052,x2053)) % 194.45/194.28 [206]~E(x2061,x2062)+E(f611(x2063,x2061),f611(x2063,x2062)) % 194.45/194.28 [207]~E(x2071,x2072)+E(f20(x2071,x2073,x2074),f20(x2072,x2073,x2074)) % 194.45/194.28 [208]~E(x2081,x2082)+E(f20(x2083,x2081,x2084),f20(x2083,x2082,x2084)) % 194.45/194.28 [209]~E(x2091,x2092)+E(f20(x2093,x2094,x2091),f20(x2093,x2094,x2092)) % 194.45/194.28 [210]~E(x2101,x2102)+E(f280(x2101),f280(x2102)) % 194.45/194.28 [211]~E(x2111,x2112)+E(f308(x2111,x2113,x2114),f308(x2112,x2113,x2114)) % 194.45/194.28 [212]~E(x2121,x2122)+E(f308(x2123,x2121,x2124),f308(x2123,x2122,x2124)) % 194.45/194.28 [213]~E(x2131,x2132)+E(f308(x2133,x2134,x2131),f308(x2133,x2134,x2132)) % 194.45/194.28 [214]~E(x2141,x2142)+E(f750(x2141,x2143),f750(x2142,x2143)) % 194.45/194.28 [215]~E(x2151,x2152)+E(f750(x2153,x2151),f750(x2153,x2152)) % 194.45/194.28 [216]~E(x2161,x2162)+E(f139(x2161,x2163),f139(x2162,x2163)) % 194.45/194.28 [217]~E(x2171,x2172)+E(f139(x2173,x2171),f139(x2173,x2172)) % 194.45/194.28 [218]~E(x2181,x2182)+E(f165(x2181),f165(x2182)) % 194.45/194.28 [219]~E(x2191,x2192)+E(f843(x2191,x2193,x2194,x2195,x2196,x2197),f843(x2192,x2193,x2194,x2195,x2196,x2197)) % 194.45/194.28 [220]~E(x2201,x2202)+E(f843(x2203,x2201,x2204,x2205,x2206,x2207),f843(x2203,x2202,x2204,x2205,x2206,x2207)) % 194.45/194.28 [221]~E(x2211,x2212)+E(f843(x2213,x2214,x2211,x2215,x2216,x2217),f843(x2213,x2214,x2212,x2215,x2216,x2217)) % 194.45/194.28 [222]~E(x2221,x2222)+E(f843(x2223,x2224,x2225,x2221,x2226,x2227),f843(x2223,x2224,x2225,x2222,x2226,x2227)) % 194.45/194.28 [223]~E(x2231,x2232)+E(f843(x2233,x2234,x2235,x2236,x2231,x2237),f843(x2233,x2234,x2235,x2236,x2232,x2237)) % 194.45/194.28 [224]~E(x2241,x2242)+E(f843(x2243,x2244,x2245,x2246,x2247,x2241),f843(x2243,x2244,x2245,x2246,x2247,x2242)) % 194.45/194.28 [225]~E(x2251,x2252)+E(f254(x2251,x2253),f254(x2252,x2253)) % 194.45/194.28 [226]~E(x2261,x2262)+E(f254(x2263,x2261),f254(x2263,x2262)) % 194.45/194.28 [227]~E(x2271,x2272)+E(f298(x2271),f298(x2272)) % 194.45/194.28 [228]~E(x2281,x2282)+E(f533(x2281,x2283,x2284,x2285,x2286),f533(x2282,x2283,x2284,x2285,x2286)) % 194.45/194.28 [229]~E(x2291,x2292)+E(f533(x2293,x2291,x2294,x2295,x2296),f533(x2293,x2292,x2294,x2295,x2296)) % 194.45/194.28 [230]~E(x2301,x2302)+E(f533(x2303,x2304,x2301,x2305,x2306),f533(x2303,x2304,x2302,x2305,x2306)) % 194.45/194.28 [231]~E(x2311,x2312)+E(f533(x2313,x2314,x2315,x2311,x2316),f533(x2313,x2314,x2315,x2312,x2316)) % 194.45/194.28 [232]~E(x2321,x2322)+E(f533(x2323,x2324,x2325,x2326,x2321),f533(x2323,x2324,x2325,x2326,x2322)) % 194.45/194.28 [233]~E(x2331,x2332)+E(f283(x2331,x2333,x2334),f283(x2332,x2333,x2334)) % 194.45/194.28 [234]~E(x2341,x2342)+E(f283(x2343,x2341,x2344),f283(x2343,x2342,x2344)) % 194.45/194.28 [235]~E(x2351,x2352)+E(f283(x2353,x2354,x2351),f283(x2353,x2354,x2352)) % 194.45/194.28 [236]~E(x2361,x2362)+E(f186(x2361),f186(x2362)) % 194.45/194.28 [237]~E(x2371,x2372)+E(f478(x2371,x2373),f478(x2372,x2373)) % 194.45/194.28 [238]~E(x2381,x2382)+E(f478(x2383,x2381),f478(x2383,x2382)) % 194.45/194.28 [239]~E(x2391,x2392)+E(f284(x2391,x2393),f284(x2392,x2393)) % 194.45/194.28 [240]~E(x2401,x2402)+E(f284(x2403,x2401),f284(x2403,x2402)) % 194.45/194.28 [241]~E(x2411,x2412)+E(f183(x2411,x2413),f183(x2412,x2413)) % 194.45/194.28 [242]~E(x2421,x2422)+E(f183(x2423,x2421),f183(x2423,x2422)) % 194.45/194.28 [243]~E(x2431,x2432)+E(f161(x2431,x2433),f161(x2432,x2433)) % 194.45/194.28 [244]~E(x2441,x2442)+E(f161(x2443,x2441),f161(x2443,x2442)) % 194.45/194.28 [245]~E(x2451,x2452)+E(f844(x2451,x2453,x2454,x2455,x2456,x2457),f844(x2452,x2453,x2454,x2455,x2456,x2457)) % 194.45/194.28 [246]~E(x2461,x2462)+E(f844(x2463,x2461,x2464,x2465,x2466,x2467),f844(x2463,x2462,x2464,x2465,x2466,x2467)) % 194.45/194.28 [247]~E(x2471,x2472)+E(f844(x2473,x2474,x2471,x2475,x2476,x2477),f844(x2473,x2474,x2472,x2475,x2476,x2477)) % 194.45/194.28 [248]~E(x2481,x2482)+E(f844(x2483,x2484,x2485,x2481,x2486,x2487),f844(x2483,x2484,x2485,x2482,x2486,x2487)) % 194.45/194.28 [249]~E(x2491,x2492)+E(f844(x2493,x2494,x2495,x2496,x2491,x2497),f844(x2493,x2494,x2495,x2496,x2492,x2497)) % 194.45/194.28 [250]~E(x2501,x2502)+E(f844(x2503,x2504,x2505,x2506,x2507,x2501),f844(x2503,x2504,x2505,x2506,x2507,x2502)) % 194.45/194.28 [251]~E(x2511,x2512)+E(f607(x2511,x2513),f607(x2512,x2513)) % 194.45/194.28 [252]~E(x2521,x2522)+E(f607(x2523,x2521),f607(x2523,x2522)) % 194.45/194.28 [253]~E(x2531,x2532)+E(f845(x2531,x2533,x2534,x2535,x2536,x2537),f845(x2532,x2533,x2534,x2535,x2536,x2537)) % 194.45/194.28 [254]~E(x2541,x2542)+E(f845(x2543,x2541,x2544,x2545,x2546,x2547),f845(x2543,x2542,x2544,x2545,x2546,x2547)) % 194.45/194.28 [255]~E(x2551,x2552)+E(f845(x2553,x2554,x2551,x2555,x2556,x2557),f845(x2553,x2554,x2552,x2555,x2556,x2557)) % 194.45/194.28 [256]~E(x2561,x2562)+E(f845(x2563,x2564,x2565,x2561,x2566,x2567),f845(x2563,x2564,x2565,x2562,x2566,x2567)) % 194.45/194.28 [257]~E(x2571,x2572)+E(f845(x2573,x2574,x2575,x2576,x2571,x2577),f845(x2573,x2574,x2575,x2576,x2572,x2577)) % 194.45/194.28 [258]~E(x2581,x2582)+E(f845(x2583,x2584,x2585,x2586,x2587,x2581),f845(x2583,x2584,x2585,x2586,x2587,x2582)) % 194.45/194.28 [259]~E(x2591,x2592)+E(f556(x2591,x2593,x2594,x2595,x2596),f556(x2592,x2593,x2594,x2595,x2596)) % 194.45/194.28 [260]~E(x2601,x2602)+E(f556(x2603,x2601,x2604,x2605,x2606),f556(x2603,x2602,x2604,x2605,x2606)) % 194.45/194.28 [261]~E(x2611,x2612)+E(f556(x2613,x2614,x2611,x2615,x2616),f556(x2613,x2614,x2612,x2615,x2616)) % 194.45/194.28 [262]~E(x2621,x2622)+E(f556(x2623,x2624,x2625,x2621,x2626),f556(x2623,x2624,x2625,x2622,x2626)) % 194.45/194.28 [263]~E(x2631,x2632)+E(f556(x2633,x2634,x2635,x2636,x2631),f556(x2633,x2634,x2635,x2636,x2632)) % 194.45/194.28 [264]~E(x2641,x2642)+E(f711(x2641,x2643,x2644,x2645,x2646),f711(x2642,x2643,x2644,x2645,x2646)) % 194.45/194.28 [265]~E(x2651,x2652)+E(f711(x2653,x2651,x2654,x2655,x2656),f711(x2653,x2652,x2654,x2655,x2656)) % 194.45/194.28 [266]~E(x2661,x2662)+E(f711(x2663,x2664,x2661,x2665,x2666),f711(x2663,x2664,x2662,x2665,x2666)) % 194.45/194.28 [267]~E(x2671,x2672)+E(f711(x2673,x2674,x2675,x2671,x2676),f711(x2673,x2674,x2675,x2672,x2676)) % 194.45/194.28 [268]~E(x2681,x2682)+E(f711(x2683,x2684,x2685,x2686,x2681),f711(x2683,x2684,x2685,x2686,x2682)) % 194.45/194.28 [269]~E(x2691,x2692)+E(f854(x2691,x2693,x2694,x2695),f854(x2692,x2693,x2694,x2695)) % 194.45/194.28 [270]~E(x2701,x2702)+E(f854(x2703,x2701,x2704,x2705),f854(x2703,x2702,x2704,x2705)) % 194.45/194.28 [271]~E(x2711,x2712)+E(f854(x2713,x2714,x2711,x2715),f854(x2713,x2714,x2712,x2715)) % 194.45/194.28 [272]~E(x2721,x2722)+E(f854(x2723,x2724,x2725,x2721),f854(x2723,x2724,x2725,x2722)) % 194.45/194.28 [273]~E(x2731,x2732)+E(f177(x2731,x2733,x2734),f177(x2732,x2733,x2734)) % 194.45/194.28 [274]~E(x2741,x2742)+E(f177(x2743,x2741,x2744),f177(x2743,x2742,x2744)) % 194.45/194.28 [275]~E(x2751,x2752)+E(f177(x2753,x2754,x2751),f177(x2753,x2754,x2752)) % 194.45/194.28 [276]~E(x2761,x2762)+E(f27(x2761,x2763,x2764),f27(x2762,x2763,x2764)) % 194.45/194.28 [277]~E(x2771,x2772)+E(f27(x2773,x2771,x2774),f27(x2773,x2772,x2774)) % 194.45/194.28 [278]~E(x2781,x2782)+E(f27(x2783,x2784,x2781),f27(x2783,x2784,x2782)) % 194.45/194.28 [279]~E(x2791,x2792)+E(f142(x2791,x2793,x2794,x2795),f142(x2792,x2793,x2794,x2795)) % 194.45/194.28 [280]~E(x2801,x2802)+E(f142(x2803,x2801,x2804,x2805),f142(x2803,x2802,x2804,x2805)) % 194.45/194.28 [281]~E(x2811,x2812)+E(f142(x2813,x2814,x2811,x2815),f142(x2813,x2814,x2812,x2815)) % 194.45/194.28 [282]~E(x2821,x2822)+E(f142(x2823,x2824,x2825,x2821),f142(x2823,x2824,x2825,x2822)) % 194.45/194.28 [283]~E(x2831,x2832)+E(f116(x2831,x2833),f116(x2832,x2833)) % 194.45/194.28 [284]~E(x2841,x2842)+E(f116(x2843,x2841),f116(x2843,x2842)) % 194.45/194.28 [285]~E(x2851,x2852)+E(f147(x2851,x2853),f147(x2852,x2853)) % 194.45/194.28 [286]~E(x2861,x2862)+E(f147(x2863,x2861),f147(x2863,x2862)) % 194.45/194.28 [287]~E(x2871,x2872)+E(f463(x2871,x2873),f463(x2872,x2873)) % 194.45/194.28 [288]~E(x2881,x2882)+E(f463(x2883,x2881),f463(x2883,x2882)) % 194.45/194.28 [289]~E(x2891,x2892)+E(f152(x2891,x2893),f152(x2892,x2893)) % 194.45/194.28 [290]~E(x2901,x2902)+E(f152(x2903,x2901),f152(x2903,x2902)) % 194.45/194.28 [291]~E(x2911,x2912)+E(f302(x2911,x2913,x2914),f302(x2912,x2913,x2914)) % 194.45/194.28 [292]~E(x2921,x2922)+E(f302(x2923,x2921,x2924),f302(x2923,x2922,x2924)) % 194.45/194.28 [293]~E(x2931,x2932)+E(f302(x2933,x2934,x2931),f302(x2933,x2934,x2932)) % 194.45/194.28 [294]~E(x2941,x2942)+E(f192(x2941),f192(x2942)) % 194.45/194.28 [295]~E(x2951,x2952)+E(f301(x2951),f301(x2952)) % 194.45/194.28 [296]~E(x2961,x2962)+E(f117(x2961),f117(x2962)) % 194.45/194.28 [297]~E(x2971,x2972)+E(f926(x2971,x2973),f926(x2972,x2973)) % 194.45/194.28 [298]~E(x2981,x2982)+E(f926(x2983,x2981),f926(x2983,x2982)) % 194.45/194.28 [299]~E(x2991,x2992)+E(f74(x2991,x2993,x2994,x2995,x2996),f74(x2992,x2993,x2994,x2995,x2996)) % 194.45/194.28 [300]~E(x3001,x3002)+E(f74(x3003,x3001,x3004,x3005,x3006),f74(x3003,x3002,x3004,x3005,x3006)) % 194.45/194.28 [301]~E(x3011,x3012)+E(f74(x3013,x3014,x3011,x3015,x3016),f74(x3013,x3014,x3012,x3015,x3016)) % 194.45/194.28 [302]~E(x3021,x3022)+E(f74(x3023,x3024,x3025,x3021,x3026),f74(x3023,x3024,x3025,x3022,x3026)) % 194.45/194.28 [303]~E(x3031,x3032)+E(f74(x3033,x3034,x3035,x3036,x3031),f74(x3033,x3034,x3035,x3036,x3032)) % 194.45/194.28 [304]~E(x3041,x3042)+E(f925(x3041,x3043),f925(x3042,x3043)) % 194.45/194.28 [305]~E(x3051,x3052)+E(f925(x3053,x3051),f925(x3053,x3052)) % 194.45/194.28 [306]~E(x3061,x3062)+E(f268(x3061,x3063),f268(x3062,x3063)) % 194.45/194.28 [307]~E(x3071,x3072)+E(f268(x3073,x3071),f268(x3073,x3072)) % 194.45/194.28 [308]~E(x3081,x3082)+E(f450(x3081,x3083,x3084),f450(x3082,x3083,x3084)) % 194.45/194.28 [309]~E(x3091,x3092)+E(f450(x3093,x3091,x3094),f450(x3093,x3092,x3094)) % 194.45/194.28 [310]~E(x3101,x3102)+E(f450(x3103,x3104,x3101),f450(x3103,x3104,x3102)) % 194.45/194.28 [311]~E(x3111,x3112)+E(f893(x3111,x3113),f893(x3112,x3113)) % 194.45/194.28 [312]~E(x3121,x3122)+E(f893(x3123,x3121),f893(x3123,x3122)) % 194.45/194.28 [313]~E(x3131,x3132)+E(f148(x3131,x3133,x3134),f148(x3132,x3133,x3134)) % 194.45/194.28 [314]~E(x3141,x3142)+E(f148(x3143,x3141,x3144),f148(x3143,x3142,x3144)) % 194.45/194.28 [315]~E(x3151,x3152)+E(f148(x3153,x3154,x3151),f148(x3153,x3154,x3152)) % 194.45/194.28 [316]~E(x3161,x3162)+E(f171(x3161),f171(x3162)) % 194.45/194.28 [317]~E(x3171,x3172)+E(f75(x3171),f75(x3172)) % 194.45/194.28 [318]~E(x3181,x3182)+E(f571(x3181,x3183,x3184,x3185,x3186),f571(x3182,x3183,x3184,x3185,x3186)) % 194.45/194.28 [319]~E(x3191,x3192)+E(f571(x3193,x3191,x3194,x3195,x3196),f571(x3193,x3192,x3194,x3195,x3196)) % 194.45/194.28 [320]~E(x3201,x3202)+E(f571(x3203,x3204,x3201,x3205,x3206),f571(x3203,x3204,x3202,x3205,x3206)) % 194.45/194.28 [321]~E(x3211,x3212)+E(f571(x3213,x3214,x3215,x3211,x3216),f571(x3213,x3214,x3215,x3212,x3216)) % 194.45/194.28 [322]~E(x3221,x3222)+E(f571(x3223,x3224,x3225,x3226,x3221),f571(x3223,x3224,x3225,x3226,x3222)) % 194.45/194.28 [323]~E(x3231,x3232)+E(f153(x3231,x3233),f153(x3232,x3233)) % 194.45/194.28 [324]~E(x3241,x3242)+E(f153(x3243,x3241),f153(x3243,x3242)) % 194.45/194.28 [325]~E(x3251,x3252)+E(f168(x3251),f168(x3252)) % 194.45/194.28 [326]~E(x3261,x3262)+E(f181(x3261,x3263),f181(x3262,x3263)) % 194.45/194.28 [327]~E(x3271,x3272)+E(f181(x3273,x3271),f181(x3273,x3272)) % 194.45/194.28 [328]~E(x3281,x3282)+E(f65(x3281,x3283,x3284),f65(x3282,x3283,x3284)) % 194.45/194.28 [329]~E(x3291,x3292)+E(f65(x3293,x3291,x3294),f65(x3293,x3292,x3294)) % 194.45/194.28 [330]~E(x3301,x3302)+E(f65(x3303,x3304,x3301),f65(x3303,x3304,x3302)) % 194.45/194.28 [331]~E(x3311,x3312)+E(f66(x3311,x3313,x3314,x3315,x3316),f66(x3312,x3313,x3314,x3315,x3316)) % 194.45/194.28 [332]~E(x3321,x3322)+E(f66(x3323,x3321,x3324,x3325,x3326),f66(x3323,x3322,x3324,x3325,x3326)) % 194.45/194.28 [333]~E(x3331,x3332)+E(f66(x3333,x3334,x3331,x3335,x3336),f66(x3333,x3334,x3332,x3335,x3336)) % 194.45/194.28 [334]~E(x3341,x3342)+E(f66(x3343,x3344,x3345,x3341,x3346),f66(x3343,x3344,x3345,x3342,x3346)) % 194.45/194.28 [335]~E(x3351,x3352)+E(f66(x3353,x3354,x3355,x3356,x3351),f66(x3353,x3354,x3355,x3356,x3352)) % 194.45/194.28 [336]~E(x3361,x3362)+E(f29(x3361,x3363),f29(x3362,x3363)) % 194.45/194.28 [337]~E(x3371,x3372)+E(f29(x3373,x3371),f29(x3373,x3372)) % 194.45/194.28 [338]~E(x3381,x3382)+E(f299(x3381,x3383),f299(x3382,x3383)) % 194.45/194.28 [339]~E(x3391,x3392)+E(f299(x3393,x3391),f299(x3393,x3392)) % 194.45/194.28 [340]~E(x3401,x3402)+E(f37(x3401,x3403),f37(x3402,x3403)) % 194.45/194.28 [341]~E(x3411,x3412)+E(f37(x3413,x3411),f37(x3413,x3412)) % 194.45/194.28 [342]~E(x3421,x3422)+E(f440(x3421,x3423,x3424),f440(x3422,x3423,x3424)) % 194.45/194.29 [343]~E(x3431,x3432)+E(f440(x3433,x3431,x3434),f440(x3433,x3432,x3434)) % 194.45/194.29 [344]~E(x3441,x3442)+E(f440(x3443,x3444,x3441),f440(x3443,x3444,x3442)) % 194.45/194.29 [345]~E(x3451,x3452)+E(f430(x3451,x3453,x3454,x3455,x3456),f430(x3452,x3453,x3454,x3455,x3456)) % 194.45/194.29 [346]~E(x3461,x3462)+E(f430(x3463,x3461,x3464,x3465,x3466),f430(x3463,x3462,x3464,x3465,x3466)) % 194.45/194.29 [347]~E(x3471,x3472)+E(f430(x3473,x3474,x3471,x3475,x3476),f430(x3473,x3474,x3472,x3475,x3476)) % 194.45/194.29 [348]~E(x3481,x3482)+E(f430(x3483,x3484,x3485,x3481,x3486),f430(x3483,x3484,x3485,x3482,x3486)) % 194.45/194.29 [349]~E(x3491,x3492)+E(f430(x3493,x3494,x3495,x3496,x3491),f430(x3493,x3494,x3495,x3496,x3492)) % 194.45/194.29 [350]~E(x3501,x3502)+E(f315(x3501,x3503),f315(x3502,x3503)) % 194.45/194.29 [351]~E(x3511,x3512)+E(f315(x3513,x3511),f315(x3513,x3512)) % 194.45/194.29 [352]~E(x3521,x3522)+E(f491(x3521,x3523),f491(x3522,x3523)) % 194.45/194.29 [353]~E(x3531,x3532)+E(f491(x3533,x3531),f491(x3533,x3532)) % 194.45/194.29 [354]~E(x3541,x3542)+E(f316(x3541,x3543),f316(x3542,x3543)) % 194.45/194.29 [355]~E(x3551,x3552)+E(f316(x3553,x3551),f316(x3553,x3552)) % 194.45/194.29 [356]~E(x3561,x3562)+E(f12(x3561,x3563),f12(x3562,x3563)) % 194.45/194.29 [357]~E(x3571,x3572)+E(f12(x3573,x3571),f12(x3573,x3572)) % 194.45/194.29 [358]~E(x3581,x3582)+E(f50(x3581,x3583),f50(x3582,x3583)) % 194.45/194.29 [359]~E(x3591,x3592)+E(f50(x3593,x3591),f50(x3593,x3592)) % 194.45/194.29 [360]~E(x3601,x3602)+E(f111(x3601),f111(x3602)) % 194.45/194.29 [361]~E(x3611,x3612)+E(f761(x3611,x3613),f761(x3612,x3613)) % 194.45/194.29 [362]~E(x3621,x3622)+E(f761(x3623,x3621),f761(x3623,x3622)) % 194.45/194.29 [363]~E(x3631,x3632)+E(f410(x3631,x3633,x3634,x3635),f410(x3632,x3633,x3634,x3635)) % 194.45/194.29 [364]~E(x3641,x3642)+E(f410(x3643,x3641,x3644,x3645),f410(x3643,x3642,x3644,x3645)) % 194.45/194.29 [365]~E(x3651,x3652)+E(f410(x3653,x3654,x3651,x3655),f410(x3653,x3654,x3652,x3655)) % 194.45/194.29 [366]~E(x3661,x3662)+E(f410(x3663,x3664,x3665,x3661),f410(x3663,x3664,x3665,x3662)) % 194.45/194.29 [367]~E(x3671,x3672)+E(f13(x3671,x3673,x3674),f13(x3672,x3673,x3674)) % 194.45/194.29 [368]~E(x3681,x3682)+E(f13(x3683,x3681,x3684),f13(x3683,x3682,x3684)) % 194.45/194.29 [369]~E(x3691,x3692)+E(f13(x3693,x3694,x3691),f13(x3693,x3694,x3692)) % 194.45/194.29 [370]~E(x3701,x3702)+E(f47(x3701,x3703),f47(x3702,x3703)) % 194.45/194.29 [371]~E(x3711,x3712)+E(f47(x3713,x3711),f47(x3713,x3712)) % 194.45/194.29 [372]~E(x3721,x3722)+E(f256(x3721,x3723),f256(x3722,x3723)) % 194.45/194.29 [373]~E(x3731,x3732)+E(f256(x3733,x3731),f256(x3733,x3732)) % 194.45/194.29 [374]~E(x3741,x3742)+E(f297(x3741,x3743,x3744,x3745,x3746),f297(x3742,x3743,x3744,x3745,x3746)) % 194.45/194.29 [375]~E(x3751,x3752)+E(f297(x3753,x3751,x3754,x3755,x3756),f297(x3753,x3752,x3754,x3755,x3756)) % 194.45/194.29 [376]~E(x3761,x3762)+E(f297(x3763,x3764,x3761,x3765,x3766),f297(x3763,x3764,x3762,x3765,x3766)) % 194.45/194.29 [377]~E(x3771,x3772)+E(f297(x3773,x3774,x3775,x3771,x3776),f297(x3773,x3774,x3775,x3772,x3776)) % 194.45/194.29 [378]~E(x3781,x3782)+E(f297(x3783,x3784,x3785,x3786,x3781),f297(x3783,x3784,x3785,x3786,x3782)) % 194.45/194.29 [379]~E(x3791,x3792)+E(f157(x3791,x3793),f157(x3792,x3793)) % 194.45/194.29 [380]~E(x3801,x3802)+E(f157(x3803,x3801),f157(x3803,x3802)) % 194.45/194.29 [381]~E(x3811,x3812)+E(f64(x3811,x3813,x3814),f64(x3812,x3813,x3814)) % 194.45/194.29 [382]~E(x3821,x3822)+E(f64(x3823,x3821,x3824),f64(x3823,x3822,x3824)) % 194.45/194.29 [383]~E(x3831,x3832)+E(f64(x3833,x3834,x3831),f64(x3833,x3834,x3832)) % 194.45/194.29 [384]~E(x3841,x3842)+E(f594(x3841,x3843,x3844,x3845,x3846,x3847),f594(x3842,x3843,x3844,x3845,x3846,x3847)) % 194.45/194.29 [385]~E(x3851,x3852)+E(f594(x3853,x3851,x3854,x3855,x3856,x3857),f594(x3853,x3852,x3854,x3855,x3856,x3857)) % 194.45/194.29 [386]~E(x3861,x3862)+E(f594(x3863,x3864,x3861,x3865,x3866,x3867),f594(x3863,x3864,x3862,x3865,x3866,x3867)) % 194.45/194.29 [387]~E(x3871,x3872)+E(f594(x3873,x3874,x3875,x3871,x3876,x3877),f594(x3873,x3874,x3875,x3872,x3876,x3877)) % 194.45/194.29 [388]~E(x3881,x3882)+E(f594(x3883,x3884,x3885,x3886,x3881,x3887),f594(x3883,x3884,x3885,x3886,x3882,x3887)) % 194.45/194.29 [389]~E(x3891,x3892)+E(f594(x3893,x3894,x3895,x3896,x3897,x3891),f594(x3893,x3894,x3895,x3896,x3897,x3892)) % 194.45/194.29 [390]~E(x3901,x3902)+E(f366(x3901,x3903,x3904),f366(x3902,x3903,x3904)) % 194.45/194.29 [391]~E(x3911,x3912)+E(f366(x3913,x3911,x3914),f366(x3913,x3912,x3914)) % 194.45/194.29 [392]~E(x3921,x3922)+E(f366(x3923,x3924,x3921),f366(x3923,x3924,x3922)) % 194.45/194.29 [393]~E(x3931,x3932)+E(f98(x3931,x3933),f98(x3932,x3933)) % 194.45/194.29 [394]~E(x3941,x3942)+E(f98(x3943,x3941),f98(x3943,x3942)) % 194.45/194.29 [395]~E(x3951,x3952)+E(f499(x3951,x3953,x3954,x3955,x3956),f499(x3952,x3953,x3954,x3955,x3956)) % 194.45/194.29 [396]~E(x3961,x3962)+E(f499(x3963,x3961,x3964,x3965,x3966),f499(x3963,x3962,x3964,x3965,x3966)) % 194.45/194.29 [397]~E(x3971,x3972)+E(f499(x3973,x3974,x3971,x3975,x3976),f499(x3973,x3974,x3972,x3975,x3976)) % 194.45/194.29 [398]~E(x3981,x3982)+E(f499(x3983,x3984,x3985,x3981,x3986),f499(x3983,x3984,x3985,x3982,x3986)) % 194.45/194.29 [399]~E(x3991,x3992)+E(f499(x3993,x3994,x3995,x3996,x3991),f499(x3993,x3994,x3995,x3996,x3992)) % 194.45/194.29 [400]~E(x4001,x4002)+E(f657(x4001,x4003,x4004,x4005,x4006),f657(x4002,x4003,x4004,x4005,x4006)) % 194.45/194.29 [401]~E(x4011,x4012)+E(f657(x4013,x4011,x4014,x4015,x4016),f657(x4013,x4012,x4014,x4015,x4016)) % 194.45/194.29 [402]~E(x4021,x4022)+E(f657(x4023,x4024,x4021,x4025,x4026),f657(x4023,x4024,x4022,x4025,x4026)) % 194.45/194.29 [403]~E(x4031,x4032)+E(f657(x4033,x4034,x4035,x4031,x4036),f657(x4033,x4034,x4035,x4032,x4036)) % 194.45/194.29 [404]~E(x4041,x4042)+E(f657(x4043,x4044,x4045,x4046,x4041),f657(x4043,x4044,x4045,x4046,x4042)) % 194.45/194.29 [405]~E(x4051,x4052)+E(f84(x4051,x4053),f84(x4052,x4053)) % 194.45/194.29 [406]~E(x4061,x4062)+E(f84(x4063,x4061),f84(x4063,x4062)) % 194.45/194.29 [407]~E(x4071,x4072)+E(f195(x4071,x4073),f195(x4072,x4073)) % 194.45/194.29 [408]~E(x4081,x4082)+E(f195(x4083,x4081),f195(x4083,x4082)) % 194.45/194.29 [409]~E(x4091,x4092)+E(f15(x4091,x4093),f15(x4092,x4093)) % 194.45/194.29 [410]~E(x4101,x4102)+E(f15(x4103,x4101),f15(x4103,x4102)) % 194.45/194.29 [411]~E(x4111,x4112)+E(f178(x4111,x4113),f178(x4112,x4113)) % 194.45/194.29 [412]~E(x4121,x4122)+E(f178(x4123,x4121),f178(x4123,x4122)) % 194.45/194.29 [413]~E(x4131,x4132)+E(f501(x4131,x4133),f501(x4132,x4133)) % 194.45/194.29 [414]~E(x4141,x4142)+E(f501(x4143,x4141),f501(x4143,x4142)) % 194.45/194.29 [415]~E(x4151,x4152)+E(f263(x4151,x4153),f263(x4152,x4153)) % 194.45/194.29 [416]~E(x4161,x4162)+E(f263(x4163,x4161),f263(x4163,x4162)) % 194.45/194.29 [417]~E(x4171,x4172)+E(f661(x4171,x4173,x4174,x4175,x4176),f661(x4172,x4173,x4174,x4175,x4176)) % 194.45/194.29 [418]~E(x4181,x4182)+E(f661(x4183,x4181,x4184,x4185,x4186),f661(x4183,x4182,x4184,x4185,x4186)) % 194.45/194.29 [419]~E(x4191,x4192)+E(f661(x4193,x4194,x4191,x4195,x4196),f661(x4193,x4194,x4192,x4195,x4196)) % 194.45/194.29 [420]~E(x4201,x4202)+E(f661(x4203,x4204,x4205,x4201,x4206),f661(x4203,x4204,x4205,x4202,x4206)) % 194.45/194.29 [421]~E(x4211,x4212)+E(f661(x4213,x4214,x4215,x4216,x4211),f661(x4213,x4214,x4215,x4216,x4212)) % 194.45/194.29 [422]~E(x4221,x4222)+E(f30(x4221,x4223),f30(x4222,x4223)) % 194.45/194.29 [423]~E(x4231,x4232)+E(f30(x4233,x4231),f30(x4233,x4232)) % 194.45/194.29 [424]~E(x4241,x4242)+E(f216(x4241,x4243),f216(x4242,x4243)) % 194.45/194.29 [425]~E(x4251,x4252)+E(f216(x4253,x4251),f216(x4253,x4252)) % 194.45/194.29 [426]~E(x4261,x4262)+E(f228(x4261,x4263),f228(x4262,x4263)) % 194.45/194.29 [427]~E(x4271,x4272)+E(f228(x4273,x4271),f228(x4273,x4272)) % 194.45/194.29 [428]~E(x4281,x4282)+E(f63(x4281,x4283),f63(x4282,x4283)) % 194.45/194.29 [429]~E(x4291,x4292)+E(f63(x4293,x4291),f63(x4293,x4292)) % 194.45/194.29 [430]~E(x4301,x4302)+E(f667(x4301,x4303,x4304,x4305),f667(x4302,x4303,x4304,x4305)) % 194.45/194.29 [431]~E(x4311,x4312)+E(f667(x4313,x4311,x4314,x4315),f667(x4313,x4312,x4314,x4315)) % 194.45/194.29 [432]~E(x4321,x4322)+E(f667(x4323,x4324,x4321,x4325),f667(x4323,x4324,x4322,x4325)) % 194.45/194.29 [433]~E(x4331,x4332)+E(f667(x4333,x4334,x4335,x4331),f667(x4333,x4334,x4335,x4332)) % 194.45/194.29 [434]~E(x4341,x4342)+E(f691(x4341,x4343,x4344,x4345),f691(x4342,x4343,x4344,x4345)) % 194.45/194.29 [435]~E(x4351,x4352)+E(f691(x4353,x4351,x4354,x4355),f691(x4353,x4352,x4354,x4355)) % 194.45/194.29 [436]~E(x4361,x4362)+E(f691(x4363,x4364,x4361,x4365),f691(x4363,x4364,x4362,x4365)) % 194.45/194.29 [437]~E(x4371,x4372)+E(f691(x4373,x4374,x4375,x4371),f691(x4373,x4374,x4375,x4372)) % 194.45/194.29 [438]~E(x4381,x4382)+E(f539(x4381,x4383,x4384,x4385,x4386,x4387,x4388),f539(x4382,x4383,x4384,x4385,x4386,x4387,x4388)) % 194.45/194.29 [439]~E(x4391,x4392)+E(f539(x4393,x4391,x4394,x4395,x4396,x4397,x4398),f539(x4393,x4392,x4394,x4395,x4396,x4397,x4398)) % 194.45/194.29 [440]~E(x4401,x4402)+E(f539(x4403,x4404,x4401,x4405,x4406,x4407,x4408),f539(x4403,x4404,x4402,x4405,x4406,x4407,x4408)) % 194.45/194.29 [441]~E(x4411,x4412)+E(f539(x4413,x4414,x4415,x4411,x4416,x4417,x4418),f539(x4413,x4414,x4415,x4412,x4416,x4417,x4418)) % 194.45/194.29 [442]~E(x4421,x4422)+E(f539(x4423,x4424,x4425,x4426,x4421,x4427,x4428),f539(x4423,x4424,x4425,x4426,x4422,x4427,x4428)) % 194.45/194.29 [443]~E(x4431,x4432)+E(f539(x4433,x4434,x4435,x4436,x4437,x4431,x4438),f539(x4433,x4434,x4435,x4436,x4437,x4432,x4438)) % 194.45/194.29 [444]~E(x4441,x4442)+E(f539(x4443,x4444,x4445,x4446,x4447,x4448,x4441),f539(x4443,x4444,x4445,x4446,x4447,x4448,x4442)) % 194.45/194.29 [445]~E(x4451,x4452)+E(f19(x4451,x4453,x4454,x4455),f19(x4452,x4453,x4454,x4455)) % 194.45/194.29 [446]~E(x4461,x4462)+E(f19(x4463,x4461,x4464,x4465),f19(x4463,x4462,x4464,x4465)) % 194.45/194.29 [447]~E(x4471,x4472)+E(f19(x4473,x4474,x4471,x4475),f19(x4473,x4474,x4472,x4475)) % 194.45/194.29 [448]~E(x4481,x4482)+E(f19(x4483,x4484,x4485,x4481),f19(x4483,x4484,x4485,x4482)) % 194.45/194.29 [449]~E(x4491,x4492)+E(f620(x4491,x4493,x4494,x4495,x4496,x4497),f620(x4492,x4493,x4494,x4495,x4496,x4497)) % 194.45/194.29 [450]~E(x4501,x4502)+E(f620(x4503,x4501,x4504,x4505,x4506,x4507),f620(x4503,x4502,x4504,x4505,x4506,x4507)) % 194.45/194.29 [451]~E(x4511,x4512)+E(f620(x4513,x4514,x4511,x4515,x4516,x4517),f620(x4513,x4514,x4512,x4515,x4516,x4517)) % 194.45/194.29 [452]~E(x4521,x4522)+E(f620(x4523,x4524,x4525,x4521,x4526,x4527),f620(x4523,x4524,x4525,x4522,x4526,x4527)) % 194.45/194.29 [453]~E(x4531,x4532)+E(f620(x4533,x4534,x4535,x4536,x4531,x4537),f620(x4533,x4534,x4535,x4536,x4532,x4537)) % 194.45/194.29 [454]~E(x4541,x4542)+E(f620(x4543,x4544,x4545,x4546,x4547,x4541),f620(x4543,x4544,x4545,x4546,x4547,x4542)) % 194.45/194.29 [455]~E(x4551,x4552)+E(f121(x4551),f121(x4552)) % 194.45/194.29 [456]~E(x4561,x4562)+E(f641(x4561,x4563,x4564,x4565,x4566,x4567,x4568,x4569),f641(x4562,x4563,x4564,x4565,x4566,x4567,x4568,x4569)) % 194.45/194.29 [457]~E(x4571,x4572)+E(f641(x4573,x4571,x4574,x4575,x4576,x4577,x4578,x4579),f641(x4573,x4572,x4574,x4575,x4576,x4577,x4578,x4579)) % 194.45/194.29 [458]~E(x4581,x4582)+E(f641(x4583,x4584,x4581,x4585,x4586,x4587,x4588,x4589),f641(x4583,x4584,x4582,x4585,x4586,x4587,x4588,x4589)) % 194.45/194.29 [459]~E(x4591,x4592)+E(f641(x4593,x4594,x4595,x4591,x4596,x4597,x4598,x4599),f641(x4593,x4594,x4595,x4592,x4596,x4597,x4598,x4599)) % 194.45/194.29 [460]~E(x4601,x4602)+E(f641(x4603,x4604,x4605,x4606,x4601,x4607,x4608,x4609),f641(x4603,x4604,x4605,x4606,x4602,x4607,x4608,x4609)) % 194.45/194.29 [461]~E(x4611,x4612)+E(f641(x4613,x4614,x4615,x4616,x4617,x4611,x4618,x4619),f641(x4613,x4614,x4615,x4616,x4617,x4612,x4618,x4619)) % 194.45/194.29 [462]~E(x4621,x4622)+E(f641(x4623,x4624,x4625,x4626,x4627,x4628,x4621,x4629),f641(x4623,x4624,x4625,x4626,x4627,x4628,x4622,x4629)) % 194.45/194.29 [463]~E(x4631,x4632)+E(f641(x4633,x4634,x4635,x4636,x4637,x4638,x4639,x4631),f641(x4633,x4634,x4635,x4636,x4637,x4638,x4639,x4632)) % 194.45/194.29 [464]~E(x4641,x4642)+E(f294(x4641,x4643,x4644,x4645,x4646),f294(x4642,x4643,x4644,x4645,x4646)) % 194.45/194.29 [465]~E(x4651,x4652)+E(f294(x4653,x4651,x4654,x4655,x4656),f294(x4653,x4652,x4654,x4655,x4656)) % 194.45/194.29 [466]~E(x4661,x4662)+E(f294(x4663,x4664,x4661,x4665,x4666),f294(x4663,x4664,x4662,x4665,x4666)) % 194.45/194.29 [467]~E(x4671,x4672)+E(f294(x4673,x4674,x4675,x4671,x4676),f294(x4673,x4674,x4675,x4672,x4676)) % 194.45/194.29 [468]~E(x4681,x4682)+E(f294(x4683,x4684,x4685,x4686,x4681),f294(x4683,x4684,x4685,x4686,x4682)) % 194.45/194.29 [469]~E(x4691,x4692)+E(f175(x4691),f175(x4692)) % 194.45/194.29 [470]~E(x4701,x4702)+E(f380(x4701),f380(x4702)) % 194.45/194.29 [471]~E(x4711,x4712)+E(f49(x4711,x4713),f49(x4712,x4713)) % 194.45/194.29 [472]~E(x4721,x4722)+E(f49(x4723,x4721),f49(x4723,x4722)) % 194.45/194.29 [473]~E(x4731,x4732)+E(f38(x4731,x4733),f38(x4732,x4733)) % 194.45/194.29 [474]~E(x4741,x4742)+E(f38(x4743,x4741),f38(x4743,x4742)) % 194.45/194.29 [475]~E(x4751,x4752)+E(f610(x4751),f610(x4752)) % 194.45/194.29 [476]~E(x4761,x4762)+E(f473(x4761,x4763,x4764,x4765),f473(x4762,x4763,x4764,x4765)) % 194.45/194.29 [477]~E(x4771,x4772)+E(f473(x4773,x4771,x4774,x4775),f473(x4773,x4772,x4774,x4775)) % 194.45/194.29 [478]~E(x4781,x4782)+E(f473(x4783,x4784,x4781,x4785),f473(x4783,x4784,x4782,x4785)) % 194.45/194.29 [479]~E(x4791,x4792)+E(f473(x4793,x4794,x4795,x4791),f473(x4793,x4794,x4795,x4792)) % 194.45/194.29 [480]~E(x4801,x4802)+E(f96(x4801),f96(x4802)) % 194.45/194.29 [481]~E(x4811,x4812)+E(f446(x4811,x4813,x4814),f446(x4812,x4813,x4814)) % 194.45/194.29 [482]~E(x4821,x4822)+E(f446(x4823,x4821,x4824),f446(x4823,x4822,x4824)) % 194.45/194.29 [483]~E(x4831,x4832)+E(f446(x4833,x4834,x4831),f446(x4833,x4834,x4832)) % 194.45/194.29 [484]~E(x4841,x4842)+E(f737(x4841,x4843),f737(x4842,x4843)) % 194.45/194.29 [485]~E(x4851,x4852)+E(f737(x4853,x4851),f737(x4853,x4852)) % 194.45/194.29 [486]~E(x4861,x4862)+E(f92(x4861,x4863,x4864),f92(x4862,x4863,x4864)) % 194.45/194.29 [487]~E(x4871,x4872)+E(f92(x4873,x4871,x4874),f92(x4873,x4872,x4874)) % 194.45/194.29 [488]~E(x4881,x4882)+E(f92(x4883,x4884,x4881),f92(x4883,x4884,x4882)) % 194.45/194.29 [489]~E(x4891,x4892)+E(f868(x4891,x4893,x4894),f868(x4892,x4893,x4894)) % 194.45/194.29 [490]~E(x4901,x4902)+E(f868(x4903,x4901,x4904),f868(x4903,x4902,x4904)) % 194.45/194.29 [491]~E(x4911,x4912)+E(f868(x4913,x4914,x4911),f868(x4913,x4914,x4912)) % 194.45/194.29 [492]~E(x4921,x4922)+E(f179(x4921,x4923),f179(x4922,x4923)) % 194.45/194.29 [493]~E(x4931,x4932)+E(f179(x4933,x4931),f179(x4933,x4932)) % 194.45/194.29 [494]~E(x4941,x4942)+E(f575(x4941,x4943,x4944,x4945),f575(x4942,x4943,x4944,x4945)) % 194.45/194.29 [495]~E(x4951,x4952)+E(f575(x4953,x4951,x4954,x4955),f575(x4953,x4952,x4954,x4955)) % 194.45/194.29 [496]~E(x4961,x4962)+E(f575(x4963,x4964,x4961,x4965),f575(x4963,x4964,x4962,x4965)) % 194.45/194.29 [497]~E(x4971,x4972)+E(f575(x4973,x4974,x4975,x4971),f575(x4973,x4974,x4975,x4972)) % 194.45/194.29 [498]~E(x4981,x4982)+E(f279(x4981),f279(x4982)) % 194.45/194.29 [499]~E(x4991,x4992)+E(f790(x4991,x4993,x4994),f790(x4992,x4993,x4994)) % 194.45/194.29 [500]~E(x5001,x5002)+E(f790(x5003,x5001,x5004),f790(x5003,x5002,x5004)) % 194.45/194.29 [501]~E(x5011,x5012)+E(f790(x5013,x5014,x5011),f790(x5013,x5014,x5012)) % 194.45/194.29 [502]~E(x5021,x5022)+E(f311(x5021),f311(x5022)) % 194.45/194.29 [503]~E(x5031,x5032)+E(f14(x5031,x5033,x5034),f14(x5032,x5033,x5034)) % 194.45/194.29 [504]~E(x5041,x5042)+E(f14(x5043,x5041,x5044),f14(x5043,x5042,x5044)) % 194.45/194.29 [505]~E(x5051,x5052)+E(f14(x5053,x5054,x5051),f14(x5053,x5054,x5052)) % 194.45/194.29 [506]~E(x5061,x5062)+E(f584(x5061,x5063,x5064),f584(x5062,x5063,x5064)) % 194.45/194.29 [507]~E(x5071,x5072)+E(f584(x5073,x5071,x5074),f584(x5073,x5072,x5074)) % 194.45/194.29 [508]~E(x5081,x5082)+E(f584(x5083,x5084,x5081),f584(x5083,x5084,x5082)) % 194.45/194.29 [509]~E(x5091,x5092)+E(f595(x5091,x5093,x5094,x5095),f595(x5092,x5093,x5094,x5095)) % 194.45/194.29 [510]~E(x5101,x5102)+E(f595(x5103,x5101,x5104,x5105),f595(x5103,x5102,x5104,x5105)) % 194.45/194.29 [511]~E(x5111,x5112)+E(f595(x5113,x5114,x5111,x5115),f595(x5113,x5114,x5112,x5115)) % 194.45/194.29 [512]~E(x5121,x5122)+E(f595(x5123,x5124,x5125,x5121),f595(x5123,x5124,x5125,x5122)) % 194.45/194.29 [513]~E(x5131,x5132)+E(f746(x5131,x5133),f746(x5132,x5133)) % 194.45/194.29 [514]~E(x5141,x5142)+E(f746(x5143,x5141),f746(x5143,x5142)) % 194.45/194.29 [515]~E(x5151,x5152)+E(f551(x5151,x5153,x5154,x5155),f551(x5152,x5153,x5154,x5155)) % 194.45/194.29 [516]~E(x5161,x5162)+E(f551(x5163,x5161,x5164,x5165),f551(x5163,x5162,x5164,x5165)) % 194.45/194.29 [517]~E(x5171,x5172)+E(f551(x5173,x5174,x5171,x5175),f551(x5173,x5174,x5172,x5175)) % 194.45/194.29 [518]~E(x5181,x5182)+E(f551(x5183,x5184,x5185,x5181),f551(x5183,x5184,x5185,x5182)) % 194.45/194.29 [519]~E(x5191,x5192)+E(f791(x5191,x5193,x5194),f791(x5192,x5193,x5194)) % 194.45/194.29 [520]~E(x5201,x5202)+E(f791(x5203,x5201,x5204),f791(x5203,x5202,x5204)) % 194.45/194.29 [521]~E(x5211,x5212)+E(f791(x5213,x5214,x5211),f791(x5213,x5214,x5212)) % 194.45/194.29 [522]~E(x5221,x5222)+E(f865(x5221,x5223,x5224),f865(x5222,x5223,x5224)) % 194.45/194.29 [523]~E(x5231,x5232)+E(f865(x5233,x5231,x5234),f865(x5233,x5232,x5234)) % 194.45/194.29 [524]~E(x5241,x5242)+E(f865(x5243,x5244,x5241),f865(x5243,x5244,x5242)) % 194.45/194.29 [525]~E(x5251,x5252)+E(f169(x5251,x5253,x5254),f169(x5252,x5253,x5254)) % 194.45/194.29 [526]~E(x5261,x5262)+E(f169(x5263,x5261,x5264),f169(x5263,x5262,x5264)) % 194.45/194.29 [527]~E(x5271,x5272)+E(f169(x5273,x5274,x5271),f169(x5273,x5274,x5272)) % 194.45/194.29 [528]~E(x5281,x5282)+E(f633(x5281,x5283,x5284),f633(x5282,x5283,x5284)) % 194.45/194.29 [529]~E(x5291,x5292)+E(f633(x5293,x5291,x5294),f633(x5293,x5292,x5294)) % 194.45/194.29 [530]~E(x5301,x5302)+E(f633(x5303,x5304,x5301),f633(x5303,x5304,x5302)) % 194.45/194.29 [531]~E(x5311,x5312)+E(f398(x5311,x5313,x5314),f398(x5312,x5313,x5314)) % 194.45/194.29 [532]~E(x5321,x5322)+E(f398(x5323,x5321,x5324),f398(x5323,x5322,x5324)) % 194.45/194.29 [533]~E(x5331,x5332)+E(f398(x5333,x5334,x5331),f398(x5333,x5334,x5332)) % 194.45/194.29 [534]~E(x5341,x5342)+E(f136(x5341,x5343),f136(x5342,x5343)) % 194.45/194.29 [535]~E(x5351,x5352)+E(f136(x5353,x5351),f136(x5353,x5352)) % 194.45/194.29 [536]~E(x5361,x5362)+E(f48(x5361,x5363),f48(x5362,x5363)) % 194.45/194.29 [537]~E(x5371,x5372)+E(f48(x5373,x5371),f48(x5373,x5372)) % 194.45/194.29 [538]~E(x5381,x5382)+E(f875(x5381,x5383,x5384,x5385),f875(x5382,x5383,x5384,x5385)) % 194.45/194.29 [539]~E(x5391,x5392)+E(f875(x5393,x5391,x5394,x5395),f875(x5393,x5392,x5394,x5395)) % 194.45/194.29 [540]~E(x5401,x5402)+E(f875(x5403,x5404,x5401,x5405),f875(x5403,x5404,x5402,x5405)) % 194.45/194.29 [541]~E(x5411,x5412)+E(f875(x5413,x5414,x5415,x5411),f875(x5413,x5414,x5415,x5412)) % 194.45/194.29 [542]~E(x5421,x5422)+E(f281(x5421),f281(x5422)) % 194.45/194.29 [543]~E(x5431,x5432)+E(f245(x5431,x5433,x5434),f245(x5432,x5433,x5434)) % 194.45/194.29 [544]~E(x5441,x5442)+E(f245(x5443,x5441,x5444),f245(x5443,x5442,x5444)) % 194.45/194.29 [545]~E(x5451,x5452)+E(f245(x5453,x5454,x5451),f245(x5453,x5454,x5452)) % 194.45/194.29 [546]~E(x5461,x5462)+E(f86(x5461),f86(x5462)) % 194.45/194.29 [547]~E(x5471,x5472)+E(f166(x5471,x5473,x5474),f166(x5472,x5473,x5474)) % 194.45/194.29 [548]~E(x5481,x5482)+E(f166(x5483,x5481,x5484),f166(x5483,x5482,x5484)) % 194.45/194.29 [549]~E(x5491,x5492)+E(f166(x5493,x5494,x5491),f166(x5493,x5494,x5492)) % 194.45/194.29 [550]~E(x5501,x5502)+E(f243(x5501,x5503,x5504),f243(x5502,x5503,x5504)) % 194.45/194.29 [551]~E(x5511,x5512)+E(f243(x5513,x5511,x5514),f243(x5513,x5512,x5514)) % 194.45/194.29 [552]~E(x5521,x5522)+E(f243(x5523,x5524,x5521),f243(x5523,x5524,x5522)) % 194.45/194.29 [553]~E(x5531,x5532)+E(f405(x5531,x5533,x5534,x5535),f405(x5532,x5533,x5534,x5535)) % 194.45/194.29 [554]~E(x5541,x5542)+E(f405(x5543,x5541,x5544,x5545),f405(x5543,x5542,x5544,x5545)) % 194.45/194.29 [555]~E(x5551,x5552)+E(f405(x5553,x5554,x5551,x5555),f405(x5553,x5554,x5552,x5555)) % 194.45/194.29 [556]~E(x5561,x5562)+E(f405(x5563,x5564,x5565,x5561),f405(x5563,x5564,x5565,x5562)) % 194.45/194.29 [557]~E(x5571,x5572)+E(f160(x5571,x5573),f160(x5572,x5573)) % 194.45/194.29 [558]~E(x5581,x5582)+E(f160(x5583,x5581),f160(x5583,x5582)) % 194.45/194.29 [559]~E(x5591,x5592)+E(f778(x5591,x5593,x5594,x5595,x5596),f778(x5592,x5593,x5594,x5595,x5596)) % 194.45/194.29 [560]~E(x5601,x5602)+E(f778(x5603,x5601,x5604,x5605,x5606),f778(x5603,x5602,x5604,x5605,x5606)) % 194.45/194.29 [561]~E(x5611,x5612)+E(f778(x5613,x5614,x5611,x5615,x5616),f778(x5613,x5614,x5612,x5615,x5616)) % 194.45/194.29 [562]~E(x5621,x5622)+E(f778(x5623,x5624,x5625,x5621,x5626),f778(x5623,x5624,x5625,x5622,x5626)) % 194.45/194.29 [563]~E(x5631,x5632)+E(f778(x5633,x5634,x5635,x5636,x5631),f778(x5633,x5634,x5635,x5636,x5632)) % 194.45/194.29 [564]~E(x5641,x5642)+E(f783(x5641,x5643,x5644,x5645),f783(x5642,x5643,x5644,x5645)) % 194.45/194.29 [565]~E(x5651,x5652)+E(f783(x5653,x5651,x5654,x5655),f783(x5653,x5652,x5654,x5655)) % 194.45/194.29 [566]~E(x5661,x5662)+E(f783(x5663,x5664,x5661,x5665),f783(x5663,x5664,x5662,x5665)) % 194.45/194.29 [567]~E(x5671,x5672)+E(f783(x5673,x5674,x5675,x5671),f783(x5673,x5674,x5675,x5672)) % 194.45/194.29 [568]~E(x5681,x5682)+E(f585(x5681,x5683,x5684,x5685,x5686,x5687),f585(x5682,x5683,x5684,x5685,x5686,x5687)) % 194.45/194.29 [569]~E(x5691,x5692)+E(f585(x5693,x5691,x5694,x5695,x5696,x5697),f585(x5693,x5692,x5694,x5695,x5696,x5697)) % 194.45/194.29 [570]~E(x5701,x5702)+E(f585(x5703,x5704,x5701,x5705,x5706,x5707),f585(x5703,x5704,x5702,x5705,x5706,x5707)) % 194.45/194.29 [571]~E(x5711,x5712)+E(f585(x5713,x5714,x5715,x5711,x5716,x5717),f585(x5713,x5714,x5715,x5712,x5716,x5717)) % 194.45/194.29 [572]~E(x5721,x5722)+E(f585(x5723,x5724,x5725,x5726,x5721,x5727),f585(x5723,x5724,x5725,x5726,x5722,x5727)) % 194.45/194.29 [573]~E(x5731,x5732)+E(f585(x5733,x5734,x5735,x5736,x5737,x5731),f585(x5733,x5734,x5735,x5736,x5737,x5732)) % 194.45/194.29 [574]~E(x5741,x5742)+E(f46(x5741,x5743),f46(x5742,x5743)) % 194.45/194.29 [575]~E(x5751,x5752)+E(f46(x5753,x5751),f46(x5753,x5752)) % 194.45/194.29 [576]~E(x5761,x5762)+E(f120(x5761,x5763,x5764),f120(x5762,x5763,x5764)) % 194.45/194.29 [577]~E(x5771,x5772)+E(f120(x5773,x5771,x5774),f120(x5773,x5772,x5774)) % 194.45/194.29 [578]~E(x5781,x5782)+E(f120(x5783,x5784,x5781),f120(x5783,x5784,x5782)) % 194.45/194.29 [579]~E(x5791,x5792)+E(f763(x5791,x5793,x5794,x5795,x5796,x5797,x5798,x5799),f763(x5792,x5793,x5794,x5795,x5796,x5797,x5798,x5799)) % 194.45/194.29 [580]~E(x5801,x5802)+E(f763(x5803,x5801,x5804,x5805,x5806,x5807,x5808,x5809),f763(x5803,x5802,x5804,x5805,x5806,x5807,x5808,x5809)) % 194.45/194.29 [581]~E(x5811,x5812)+E(f763(x5813,x5814,x5811,x5815,x5816,x5817,x5818,x5819),f763(x5813,x5814,x5812,x5815,x5816,x5817,x5818,x5819)) % 194.45/194.29 [582]~E(x5821,x5822)+E(f763(x5823,x5824,x5825,x5821,x5826,x5827,x5828,x5829),f763(x5823,x5824,x5825,x5822,x5826,x5827,x5828,x5829)) % 194.45/194.29 [583]~E(x5831,x5832)+E(f763(x5833,x5834,x5835,x5836,x5831,x5837,x5838,x5839),f763(x5833,x5834,x5835,x5836,x5832,x5837,x5838,x5839)) % 194.45/194.29 [584]~E(x5841,x5842)+E(f763(x5843,x5844,x5845,x5846,x5847,x5841,x5848,x5849),f763(x5843,x5844,x5845,x5846,x5847,x5842,x5848,x5849)) % 194.45/194.29 [585]~E(x5851,x5852)+E(f763(x5853,x5854,x5855,x5856,x5857,x5858,x5851,x5859),f763(x5853,x5854,x5855,x5856,x5857,x5858,x5852,x5859)) % 194.45/194.29 [586]~E(x5861,x5862)+E(f763(x5863,x5864,x5865,x5866,x5867,x5868,x5869,x5861),f763(x5863,x5864,x5865,x5866,x5867,x5868,x5869,x5862)) % 194.45/194.29 [587]~E(x5871,x5872)+E(f813(x5871,x5873,x5874),f813(x5872,x5873,x5874)) % 194.45/194.29 [588]~E(x5881,x5882)+E(f813(x5883,x5881,x5884),f813(x5883,x5882,x5884)) % 194.45/194.29 [589]~E(x5891,x5892)+E(f813(x5893,x5894,x5891),f813(x5893,x5894,x5892)) % 194.45/194.29 [590]~E(x5901,x5902)+E(f126(x5901,x5903),f126(x5902,x5903)) % 194.45/194.29 [591]~E(x5911,x5912)+E(f126(x5913,x5911),f126(x5913,x5912)) % 194.45/194.29 [592]~E(x5921,x5922)+E(f694(x5921,x5923,x5924,x5925),f694(x5922,x5923,x5924,x5925)) % 194.45/194.29 [593]~E(x5931,x5932)+E(f694(x5933,x5931,x5934,x5935),f694(x5933,x5932,x5934,x5935)) % 194.45/194.29 [594]~E(x5941,x5942)+E(f694(x5943,x5944,x5941,x5945),f694(x5943,x5944,x5942,x5945)) % 194.45/194.29 [595]~E(x5951,x5952)+E(f694(x5953,x5954,x5955,x5951),f694(x5953,x5954,x5955,x5952)) % 194.45/194.29 [596]~E(x5961,x5962)+E(f158(x5961,x5963),f158(x5962,x5963)) % 194.45/194.29 [597]~E(x5971,x5972)+E(f158(x5973,x5971),f158(x5973,x5972)) % 194.45/194.29 [598]~E(x5981,x5982)+E(f605(x5981,x5983,x5984,x5985),f605(x5982,x5983,x5984,x5985)) % 194.45/194.29 [599]~E(x5991,x5992)+E(f605(x5993,x5991,x5994,x5995),f605(x5993,x5992,x5994,x5995)) % 194.45/194.29 [600]~E(x6001,x6002)+E(f605(x6003,x6004,x6001,x6005),f605(x6003,x6004,x6002,x6005)) % 194.45/194.29 [601]~E(x6011,x6012)+E(f605(x6013,x6014,x6015,x6011),f605(x6013,x6014,x6015,x6012)) % 194.45/194.29 [602]~E(x6021,x6022)+E(f832(x6021,x6023),f832(x6022,x6023)) % 194.45/194.29 [603]~E(x6031,x6032)+E(f832(x6033,x6031),f832(x6033,x6032)) % 194.45/194.29 [604]~E(x6041,x6042)+E(f173(x6041,x6043,x6044),f173(x6042,x6043,x6044)) % 194.45/194.29 [605]~E(x6051,x6052)+E(f173(x6053,x6051,x6054),f173(x6053,x6052,x6054)) % 194.45/194.29 [606]~E(x6061,x6062)+E(f173(x6063,x6064,x6061),f173(x6063,x6064,x6062)) % 194.45/194.29 [607]~E(x6071,x6072)+E(f836(x6071),f836(x6072)) % 194.45/194.29 [608]~E(x6081,x6082)+E(f144(x6081,x6083),f144(x6082,x6083)) % 194.45/194.29 [609]~E(x6091,x6092)+E(f144(x6093,x6091),f144(x6093,x6092)) % 194.45/194.29 [610]~E(x6101,x6102)+E(f355(x6101,x6103,x6104,x6105,x6106),f355(x6102,x6103,x6104,x6105,x6106)) % 194.45/194.29 [611]~E(x6111,x6112)+E(f355(x6113,x6111,x6114,x6115,x6116),f355(x6113,x6112,x6114,x6115,x6116)) % 194.45/194.29 [612]~E(x6121,x6122)+E(f355(x6123,x6124,x6121,x6125,x6126),f355(x6123,x6124,x6122,x6125,x6126)) % 194.45/194.29 [613]~E(x6131,x6132)+E(f355(x6133,x6134,x6135,x6131,x6136),f355(x6133,x6134,x6135,x6132,x6136)) % 194.45/194.29 [614]~E(x6141,x6142)+E(f355(x6143,x6144,x6145,x6146,x6141),f355(x6143,x6144,x6145,x6146,x6142)) % 194.45/194.29 [615]~E(x6151,x6152)+E(f85(x6151,x6153),f85(x6152,x6153)) % 194.45/194.29 [616]~E(x6161,x6162)+E(f85(x6163,x6161),f85(x6163,x6162)) % 194.45/194.29 [617]~E(x6171,x6172)+E(f369(x6171,x6173,x6174,x6175),f369(x6172,x6173,x6174,x6175)) % 194.45/194.29 [618]~E(x6181,x6182)+E(f369(x6183,x6181,x6184,x6185),f369(x6183,x6182,x6184,x6185)) % 194.45/194.29 [619]~E(x6191,x6192)+E(f369(x6193,x6194,x6191,x6195),f369(x6193,x6194,x6192,x6195)) % 194.45/194.29 [620]~E(x6201,x6202)+E(f369(x6203,x6204,x6205,x6201),f369(x6203,x6204,x6205,x6202)) % 194.45/194.29 [621]~E(x6211,x6212)+E(f448(x6211,x6213,x6214),f448(x6212,x6213,x6214)) % 194.45/194.29 [622]~E(x6221,x6222)+E(f448(x6223,x6221,x6224),f448(x6223,x6222,x6224)) % 194.45/194.29 [623]~E(x6231,x6232)+E(f448(x6233,x6234,x6231),f448(x6233,x6234,x6232)) % 194.45/194.29 [624]~E(x6241,x6242)+E(f170(x6241,x6243,x6244),f170(x6242,x6243,x6244)) % 194.45/194.29 [625]~E(x6251,x6252)+E(f170(x6253,x6251,x6254),f170(x6253,x6252,x6254)) % 194.45/194.29 [626]~E(x6261,x6262)+E(f170(x6263,x6264,x6261),f170(x6263,x6264,x6262)) % 194.45/194.29 [627]~E(x6271,x6272)+E(f870(x6271,x6273,x6274),f870(x6272,x6273,x6274)) % 194.45/194.29 [628]~E(x6281,x6282)+E(f870(x6283,x6281,x6284),f870(x6283,x6282,x6284)) % 194.45/194.29 [629]~E(x6291,x6292)+E(f870(x6293,x6294,x6291),f870(x6293,x6294,x6292)) % 194.45/194.29 [630]~E(x6301,x6302)+E(f76(x6301,x6303,x6304,x6305),f76(x6302,x6303,x6304,x6305)) % 194.45/194.29 [631]~E(x6311,x6312)+E(f76(x6313,x6311,x6314,x6315),f76(x6313,x6312,x6314,x6315)) % 194.45/194.29 [632]~E(x6321,x6322)+E(f76(x6323,x6324,x6321,x6325),f76(x6323,x6324,x6322,x6325)) % 194.45/194.29 [633]~E(x6331,x6332)+E(f76(x6333,x6334,x6335,x6331),f76(x6333,x6334,x6335,x6332)) % 194.45/194.29 [634]~E(x6341,x6342)+E(f719(x6341,x6343,x6344),f719(x6342,x6343,x6344)) % 194.45/194.29 [635]~E(x6351,x6352)+E(f719(x6353,x6351,x6354),f719(x6353,x6352,x6354)) % 194.45/194.29 [636]~E(x6361,x6362)+E(f719(x6363,x6364,x6361),f719(x6363,x6364,x6362)) % 194.45/194.29 [637]~E(x6371,x6372)+E(f432(x6371,x6373,x6374),f432(x6372,x6373,x6374)) % 194.45/194.29 [638]~E(x6381,x6382)+E(f432(x6383,x6381,x6384),f432(x6383,x6382,x6384)) % 194.45/194.29 [639]~E(x6391,x6392)+E(f432(x6393,x6394,x6391),f432(x6393,x6394,x6392)) % 194.45/194.29 [640]~E(x6401,x6402)+E(f762(x6401,x6403),f762(x6402,x6403)) % 194.45/194.29 [641]~E(x6411,x6412)+E(f762(x6413,x6411),f762(x6413,x6412)) % 194.45/194.29 [642]~E(x6421,x6422)+E(f330(x6421),f330(x6422)) % 194.45/194.29 [643]~E(x6431,x6432)+E(f250(x6431,x6433,x6434),f250(x6432,x6433,x6434)) % 194.45/194.29 [644]~E(x6441,x6442)+E(f250(x6443,x6441,x6444),f250(x6443,x6442,x6444)) % 194.45/194.29 [645]~E(x6451,x6452)+E(f250(x6453,x6454,x6451),f250(x6453,x6454,x6452)) % 194.45/194.29 [646]~E(x6461,x6462)+E(f454(x6461,x6463),f454(x6462,x6463)) % 194.45/194.29 [647]~E(x6471,x6472)+E(f454(x6473,x6471),f454(x6473,x6472)) % 194.45/194.29 [648]~E(x6481,x6482)+E(f803(x6481,x6483,x6484),f803(x6482,x6483,x6484)) % 194.45/194.29 [649]~E(x6491,x6492)+E(f803(x6493,x6491,x6494),f803(x6493,x6492,x6494)) % 194.45/194.29 [650]~E(x6501,x6502)+E(f803(x6503,x6504,x6501),f803(x6503,x6504,x6502)) % 194.45/194.29 [651]~E(x6511,x6512)+E(f802(x6511,x6513,x6514),f802(x6512,x6513,x6514)) % 194.45/194.29 [652]~E(x6521,x6522)+E(f802(x6523,x6521,x6524),f802(x6523,x6522,x6524)) % 194.45/194.29 [653]~E(x6531,x6532)+E(f802(x6533,x6534,x6531),f802(x6533,x6534,x6532)) % 194.45/194.29 [654]~E(x6541,x6542)+E(f752(x6541,x6543,x6544,x6545),f752(x6542,x6543,x6544,x6545)) % 194.45/194.29 [655]~E(x6551,x6552)+E(f752(x6553,x6551,x6554,x6555),f752(x6553,x6552,x6554,x6555)) % 194.45/194.29 [656]~E(x6561,x6562)+E(f752(x6563,x6564,x6561,x6565),f752(x6563,x6564,x6562,x6565)) % 194.45/194.29 [657]~E(x6571,x6572)+E(f752(x6573,x6574,x6575,x6571),f752(x6573,x6574,x6575,x6572)) % 194.45/194.29 [658]~E(x6581,x6582)+E(f130(x6581),f130(x6582)) % 194.45/194.29 [659]~E(x6591,x6592)+E(f835(x6591),f835(x6592)) % 194.45/194.29 [660]~E(x6601,x6602)+E(f221(x6601,x6603,x6604,x6605),f221(x6602,x6603,x6604,x6605)) % 194.45/194.29 [661]~E(x6611,x6612)+E(f221(x6613,x6611,x6614,x6615),f221(x6613,x6612,x6614,x6615)) % 194.45/194.29 [662]~E(x6621,x6622)+E(f221(x6623,x6624,x6621,x6625),f221(x6623,x6624,x6622,x6625)) % 194.45/194.29 [663]~E(x6631,x6632)+E(f221(x6633,x6634,x6635,x6631),f221(x6633,x6634,x6635,x6632)) % 194.45/194.29 [664]~E(x6641,x6642)+E(f90(x6641),f90(x6642)) % 194.45/194.29 [665]~E(x6651,x6652)+E(f566(x6651,x6653,x6654),f566(x6652,x6653,x6654)) % 194.45/194.29 [666]~E(x6661,x6662)+E(f566(x6663,x6661,x6664),f566(x6663,x6662,x6664)) % 194.45/194.29 [667]~E(x6671,x6672)+E(f566(x6673,x6674,x6671),f566(x6673,x6674,x6672)) % 194.45/194.29 [668]~E(x6681,x6682)+E(f421(x6681,x6683,x6684,x6685,x6686),f421(x6682,x6683,x6684,x6685,x6686)) % 194.45/194.29 [669]~E(x6691,x6692)+E(f421(x6693,x6691,x6694,x6695,x6696),f421(x6693,x6692,x6694,x6695,x6696)) % 194.45/194.29 [670]~E(x6701,x6702)+E(f421(x6703,x6704,x6701,x6705,x6706),f421(x6703,x6704,x6702,x6705,x6706)) % 194.45/194.29 [671]~E(x6711,x6712)+E(f421(x6713,x6714,x6715,x6711,x6716),f421(x6713,x6714,x6715,x6712,x6716)) % 194.45/194.29 [672]~E(x6721,x6722)+E(f421(x6723,x6724,x6725,x6726,x6721),f421(x6723,x6724,x6725,x6726,x6722)) % 194.45/194.29 [673]~E(x6731,x6732)+E(f305(x6731),f305(x6732)) % 194.45/194.29 [674]~E(x6741,x6742)+E(f912(x6741,x6743,x6744),f912(x6742,x6743,x6744)) % 194.45/194.29 [675]~E(x6751,x6752)+E(f912(x6753,x6751,x6754),f912(x6753,x6752,x6754)) % 194.45/194.29 [676]~E(x6761,x6762)+E(f912(x6763,x6764,x6761),f912(x6763,x6764,x6762)) % 194.45/194.29 [677]~E(x6771,x6772)+E(f867(x6771,x6773,x6774),f867(x6772,x6773,x6774)) % 194.45/194.29 [678]~E(x6781,x6782)+E(f867(x6783,x6781,x6784),f867(x6783,x6782,x6784)) % 194.45/194.29 [679]~E(x6791,x6792)+E(f867(x6793,x6794,x6791),f867(x6793,x6794,x6792)) % 194.45/194.29 [680]~E(x6801,x6802)+E(f141(x6801),f141(x6802)) % 194.45/194.29 [681]~E(x6811,x6812)+E(f199(x6811,x6813,x6814,x6815),f199(x6812,x6813,x6814,x6815)) % 194.45/194.29 [682]~E(x6821,x6822)+E(f199(x6823,x6821,x6824,x6825),f199(x6823,x6822,x6824,x6825)) % 194.45/194.29 [683]~E(x6831,x6832)+E(f199(x6833,x6834,x6831,x6835),f199(x6833,x6834,x6832,x6835)) % 194.45/194.29 [684]~E(x6841,x6842)+E(f199(x6843,x6844,x6845,x6841),f199(x6843,x6844,x6845,x6842)) % 194.45/194.29 [685]~E(x6851,x6852)+E(f282(x6851,x6853),f282(x6852,x6853)) % 194.45/194.29 [686]~E(x6861,x6862)+E(f282(x6863,x6861),f282(x6863,x6862)) % 194.45/194.29 [687]~E(x6871,x6872)+E(f156(x6871,x6873,x6874,x6875),f156(x6872,x6873,x6874,x6875)) % 194.45/194.29 [688]~E(x6881,x6882)+E(f156(x6883,x6881,x6884,x6885),f156(x6883,x6882,x6884,x6885)) % 194.45/194.29 [689]~E(x6891,x6892)+E(f156(x6893,x6894,x6891,x6895),f156(x6893,x6894,x6892,x6895)) % 194.45/194.29 [690]~E(x6901,x6902)+E(f156(x6903,x6904,x6905,x6901),f156(x6903,x6904,x6905,x6902)) % 194.45/194.29 [691]~E(x6911,x6912)+E(f739(x6911,x6913),f739(x6912,x6913)) % 194.45/194.29 [692]~E(x6921,x6922)+E(f739(x6923,x6921),f739(x6923,x6922)) % 194.45/194.29 [693]~E(x6931,x6932)+E(f143(x6931,x6933),f143(x6932,x6933)) % 194.45/194.29 [694]~E(x6941,x6942)+E(f143(x6943,x6941),f143(x6943,x6942)) % 194.45/194.29 [695]~E(x6951,x6952)+E(f792(x6951,x6953,x6954),f792(x6952,x6953,x6954)) % 194.45/194.29 [696]~E(x6961,x6962)+E(f792(x6963,x6961,x6964),f792(x6963,x6962,x6964)) % 194.45/194.29 [697]~E(x6971,x6972)+E(f792(x6973,x6974,x6971),f792(x6973,x6974,x6972)) % 194.45/194.29 [698]~E(x6981,x6982)+E(f582(x6981,x6983),f582(x6982,x6983)) % 194.45/194.29 [699]~E(x6991,x6992)+E(f582(x6993,x6991),f582(x6993,x6992)) % 194.45/194.29 [700]~E(x7001,x7002)+E(f317(x7001,x7003,x7004,x7005),f317(x7002,x7003,x7004,x7005)) % 194.45/194.29 [701]~E(x7011,x7012)+E(f317(x7013,x7011,x7014,x7015),f317(x7013,x7012,x7014,x7015)) % 194.45/194.29 [702]~E(x7021,x7022)+E(f317(x7023,x7024,x7021,x7025),f317(x7023,x7024,x7022,x7025)) % 194.45/194.29 [703]~E(x7031,x7032)+E(f317(x7033,x7034,x7035,x7031),f317(x7033,x7034,x7035,x7032)) % 194.45/194.29 [704]~E(x7041,x7042)+E(f91(x7041,x7043,x7044,x7045),f91(x7042,x7043,x7044,x7045)) % 194.45/194.29 [705]~E(x7051,x7052)+E(f91(x7053,x7051,x7054,x7055),f91(x7053,x7052,x7054,x7055)) % 194.45/194.29 [706]~E(x7061,x7062)+E(f91(x7063,x7064,x7061,x7065),f91(x7063,x7064,x7062,x7065)) % 194.45/194.29 [707]~E(x7071,x7072)+E(f91(x7073,x7074,x7075,x7071),f91(x7073,x7074,x7075,x7072)) % 194.45/194.29 [708]~E(x7081,x7082)+E(f496(x7081,x7083,x7084,x7085),f496(x7082,x7083,x7084,x7085)) % 194.45/194.29 [709]~E(x7091,x7092)+E(f496(x7093,x7091,x7094,x7095),f496(x7093,x7092,x7094,x7095)) % 194.45/194.29 [710]~E(x7101,x7102)+E(f496(x7103,x7104,x7101,x7105),f496(x7103,x7104,x7102,x7105)) % 194.45/194.29 [711]~E(x7111,x7112)+E(f496(x7113,x7114,x7115,x7111),f496(x7113,x7114,x7115,x7112)) % 194.45/194.29 [712]~E(x7121,x7122)+E(f664(x7121,x7123,x7124),f664(x7122,x7123,x7124)) % 194.45/194.29 [713]~E(x7131,x7132)+E(f664(x7133,x7131,x7134),f664(x7133,x7132,x7134)) % 194.45/194.29 [714]~E(x7141,x7142)+E(f664(x7143,x7144,x7141),f664(x7143,x7144,x7142)) % 194.45/194.29 [715]~E(x7151,x7152)+E(f760(x7151,x7153),f760(x7152,x7153)) % 194.45/194.29 [716]~E(x7161,x7162)+E(f760(x7163,x7161),f760(x7163,x7162)) % 194.45/194.29 [717]~E(x7171,x7172)+E(f651(x7171,x7173,x7174),f651(x7172,x7173,x7174)) % 194.45/194.29 [718]~E(x7181,x7182)+E(f651(x7183,x7181,x7184),f651(x7183,x7182,x7184)) % 194.45/194.29 [719]~E(x7191,x7192)+E(f651(x7193,x7194,x7191),f651(x7193,x7194,x7192)) % 194.45/194.29 [720]~E(x7201,x7202)+E(f723(x7201,x7203,x7204),f723(x7202,x7203,x7204)) % 194.45/194.29 [721]~E(x7211,x7212)+E(f723(x7213,x7211,x7214),f723(x7213,x7212,x7214)) % 194.45/194.29 [722]~E(x7221,x7222)+E(f723(x7223,x7224,x7221),f723(x7223,x7224,x7222)) % 194.45/194.29 [723]~E(x7231,x7232)+E(f81(x7231,x7233),f81(x7232,x7233)) % 194.45/194.29 [724]~E(x7241,x7242)+E(f81(x7243,x7241),f81(x7243,x7242)) % 194.45/194.29 [725]~E(x7251,x7252)+E(f57(x7251),f57(x7252)) % 194.45/194.29 [726]~E(x7261,x7262)+E(f238(x7261,x7263),f238(x7262,x7263)) % 194.45/194.29 [727]~E(x7271,x7272)+E(f238(x7273,x7271),f238(x7273,x7272)) % 194.45/194.29 [728]~E(x7281,x7282)+E(f523(x7281,x7283,x7284),f523(x7282,x7283,x7284)) % 194.45/194.29 [729]~E(x7291,x7292)+E(f523(x7293,x7291,x7294),f523(x7293,x7292,x7294)) % 194.45/194.29 [730]~E(x7301,x7302)+E(f523(x7303,x7304,x7301),f523(x7303,x7304,x7302)) % 194.45/194.29 [731]~E(x7311,x7312)+E(f381(x7311,x7313,x7314),f381(x7312,x7313,x7314)) % 194.45/194.29 [732]~E(x7321,x7322)+E(f381(x7323,x7321,x7324),f381(x7323,x7322,x7324)) % 194.45/194.29 [733]~E(x7331,x7332)+E(f381(x7333,x7334,x7331),f381(x7333,x7334,x7332)) % 194.45/194.29 [734]~E(x7341,x7342)+E(f333(x7341,x7343,x7344),f333(x7342,x7343,x7344)) % 194.45/194.29 [735]~E(x7351,x7352)+E(f333(x7353,x7351,x7354),f333(x7353,x7352,x7354)) % 194.45/194.29 [736]~E(x7361,x7362)+E(f333(x7363,x7364,x7361),f333(x7363,x7364,x7362)) % 194.45/194.29 [737]~E(x7371,x7372)+E(f598(x7371,x7373,x7374),f598(x7372,x7373,x7374)) % 194.45/194.29 [738]~E(x7381,x7382)+E(f598(x7383,x7381,x7384),f598(x7383,x7382,x7384)) % 194.45/194.29 [739]~E(x7391,x7392)+E(f598(x7393,x7394,x7391),f598(x7393,x7394,x7392)) % 194.45/194.29 [740]~E(x7401,x7402)+E(f404(x7401,x7403,x7404,x7405),f404(x7402,x7403,x7404,x7405)) % 194.45/194.29 [741]~E(x7411,x7412)+E(f404(x7413,x7411,x7414,x7415),f404(x7413,x7412,x7414,x7415)) % 194.45/194.29 [742]~E(x7421,x7422)+E(f404(x7423,x7424,x7421,x7425),f404(x7423,x7424,x7422,x7425)) % 194.45/194.29 [743]~E(x7431,x7432)+E(f404(x7433,x7434,x7435,x7431),f404(x7433,x7434,x7435,x7432)) % 194.45/194.29 [744]~E(x7441,x7442)+E(f224(x7441,x7443,x7444,x7445,x7446),f224(x7442,x7443,x7444,x7445,x7446)) % 194.45/194.29 [745]~E(x7451,x7452)+E(f224(x7453,x7451,x7454,x7455,x7456),f224(x7453,x7452,x7454,x7455,x7456)) % 194.45/194.29 [746]~E(x7461,x7462)+E(f224(x7463,x7464,x7461,x7465,x7466),f224(x7463,x7464,x7462,x7465,x7466)) % 194.45/194.29 [747]~E(x7471,x7472)+E(f224(x7473,x7474,x7475,x7471,x7476),f224(x7473,x7474,x7475,x7472,x7476)) % 194.45/194.29 [748]~E(x7481,x7482)+E(f224(x7483,x7484,x7485,x7486,x7481),f224(x7483,x7484,x7485,x7486,x7482)) % 194.45/194.29 [749]~E(x7491,x7492)+E(f864(x7491,x7493,x7494),f864(x7492,x7493,x7494)) % 194.45/194.29 [750]~E(x7501,x7502)+E(f864(x7503,x7501,x7504),f864(x7503,x7502,x7504)) % 194.45/194.29 [751]~E(x7511,x7512)+E(f864(x7513,x7514,x7511),f864(x7513,x7514,x7512)) % 194.45/194.29 [752]~E(x7521,x7522)+E(f407(x7521,x7523,x7524,x7525),f407(x7522,x7523,x7524,x7525)) % 194.45/194.29 [753]~E(x7531,x7532)+E(f407(x7533,x7531,x7534,x7535),f407(x7533,x7532,x7534,x7535)) % 194.45/194.29 [754]~E(x7541,x7542)+E(f407(x7543,x7544,x7541,x7545),f407(x7543,x7544,x7542,x7545)) % 194.45/194.29 [755]~E(x7551,x7552)+E(f407(x7553,x7554,x7555,x7551),f407(x7553,x7554,x7555,x7552)) % 194.45/194.29 [756]~E(x7561,x7562)+E(f799(x7561,x7563,x7564,x7565,x7566,x7567,x7568),f799(x7562,x7563,x7564,x7565,x7566,x7567,x7568)) % 194.45/194.29 [757]~E(x7571,x7572)+E(f799(x7573,x7571,x7574,x7575,x7576,x7577,x7578),f799(x7573,x7572,x7574,x7575,x7576,x7577,x7578)) % 194.45/194.29 [758]~E(x7581,x7582)+E(f799(x7583,x7584,x7581,x7585,x7586,x7587,x7588),f799(x7583,x7584,x7582,x7585,x7586,x7587,x7588)) % 194.45/194.29 [759]~E(x7591,x7592)+E(f799(x7593,x7594,x7595,x7591,x7596,x7597,x7598),f799(x7593,x7594,x7595,x7592,x7596,x7597,x7598)) % 194.45/194.29 [760]~E(x7601,x7602)+E(f799(x7603,x7604,x7605,x7606,x7601,x7607,x7608),f799(x7603,x7604,x7605,x7606,x7602,x7607,x7608)) % 194.45/194.29 [761]~E(x7611,x7612)+E(f799(x7613,x7614,x7615,x7616,x7617,x7611,x7618),f799(x7613,x7614,x7615,x7616,x7617,x7612,x7618)) % 194.45/194.29 [762]~E(x7621,x7622)+E(f799(x7623,x7624,x7625,x7626,x7627,x7628,x7621),f799(x7623,x7624,x7625,x7626,x7627,x7628,x7622)) % 194.45/194.29 [763]~E(x7631,x7632)+E(f145(x7631,x7633),f145(x7632,x7633)) % 194.45/194.29 [764]~E(x7641,x7642)+E(f145(x7643,x7641),f145(x7643,x7642)) % 194.45/194.29 [765]~E(x7651,x7652)+E(f56(x7651),f56(x7652)) % 194.45/194.29 [766]~E(x7661,x7662)+E(f787(x7661,x7663,x7664,x7665,x7666,x7667,x7668),f787(x7662,x7663,x7664,x7665,x7666,x7667,x7668)) % 194.45/194.29 [767]~E(x7671,x7672)+E(f787(x7673,x7671,x7674,x7675,x7676,x7677,x7678),f787(x7673,x7672,x7674,x7675,x7676,x7677,x7678)) % 194.45/194.29 [768]~E(x7681,x7682)+E(f787(x7683,x7684,x7681,x7685,x7686,x7687,x7688),f787(x7683,x7684,x7682,x7685,x7686,x7687,x7688)) % 194.45/194.29 [769]~E(x7691,x7692)+E(f787(x7693,x7694,x7695,x7691,x7696,x7697,x7698),f787(x7693,x7694,x7695,x7692,x7696,x7697,x7698)) % 194.45/194.29 [770]~E(x7701,x7702)+E(f787(x7703,x7704,x7705,x7706,x7701,x7707,x7708),f787(x7703,x7704,x7705,x7706,x7702,x7707,x7708)) % 194.45/194.29 [771]~E(x7711,x7712)+E(f787(x7713,x7714,x7715,x7716,x7717,x7711,x7718),f787(x7713,x7714,x7715,x7716,x7717,x7712,x7718)) % 194.45/194.29 [772]~E(x7721,x7722)+E(f787(x7723,x7724,x7725,x7726,x7727,x7728,x7721),f787(x7723,x7724,x7725,x7726,x7727,x7728,x7722)) % 194.45/194.29 [773]~E(x7731,x7732)+E(f150(x7731,x7733,x7734,x7735),f150(x7732,x7733,x7734,x7735)) % 194.45/194.29 [774]~E(x7741,x7742)+E(f150(x7743,x7741,x7744,x7745),f150(x7743,x7742,x7744,x7745)) % 194.45/194.29 [775]~E(x7751,x7752)+E(f150(x7753,x7754,x7751,x7755),f150(x7753,x7754,x7752,x7755)) % 194.45/194.29 [776]~E(x7761,x7762)+E(f150(x7763,x7764,x7765,x7761),f150(x7763,x7764,x7765,x7762)) % 194.45/194.29 [777]~E(x7771,x7772)+E(f842(x7771,x7773,x7774,x7775,x7776),f842(x7772,x7773,x7774,x7775,x7776)) % 194.45/194.29 [778]~E(x7781,x7782)+E(f842(x7783,x7781,x7784,x7785,x7786),f842(x7783,x7782,x7784,x7785,x7786)) % 194.45/194.29 [779]~E(x7791,x7792)+E(f842(x7793,x7794,x7791,x7795,x7796),f842(x7793,x7794,x7792,x7795,x7796)) % 194.45/194.29 [780]~E(x7801,x7802)+E(f842(x7803,x7804,x7805,x7801,x7806),f842(x7803,x7804,x7805,x7802,x7806)) % 194.45/194.29 [781]~E(x7811,x7812)+E(f842(x7813,x7814,x7815,x7816,x7811),f842(x7813,x7814,x7815,x7816,x7812)) % 194.45/194.29 [782]~E(x7821,x7822)+E(f213(x7821),f213(x7822)) % 194.45/194.29 [783]~E(x7831,x7832)+E(f289(x7831,x7833),f289(x7832,x7833)) % 194.45/194.29 [784]~E(x7841,x7842)+E(f289(x7843,x7841),f289(x7843,x7842)) % 194.45/194.29 [785]~E(x7851,x7852)+E(f310(x7851,x7853,x7854,x7855),f310(x7852,x7853,x7854,x7855)) % 194.45/194.29 [786]~E(x7861,x7862)+E(f310(x7863,x7861,x7864,x7865),f310(x7863,x7862,x7864,x7865)) % 194.45/194.29 [787]~E(x7871,x7872)+E(f310(x7873,x7874,x7871,x7875),f310(x7873,x7874,x7872,x7875)) % 194.45/194.29 [788]~E(x7881,x7882)+E(f310(x7883,x7884,x7885,x7881),f310(x7883,x7884,x7885,x7882)) % 194.45/194.29 [789]~E(x7891,x7892)+E(f581(x7891,x7893),f581(x7892,x7893)) % 194.45/194.29 [790]~E(x7901,x7902)+E(f581(x7903,x7901),f581(x7903,x7902)) % 194.45/194.29 [791]~E(x7911,x7912)+E(f59(x7911,x7913,x7914,x7915),f59(x7912,x7913,x7914,x7915)) % 194.45/194.29 [792]~E(x7921,x7922)+E(f59(x7923,x7921,x7924,x7925),f59(x7923,x7922,x7924,x7925)) % 194.45/194.29 [793]~E(x7931,x7932)+E(f59(x7933,x7934,x7931,x7935),f59(x7933,x7934,x7932,x7935)) % 194.45/194.29 [794]~E(x7941,x7942)+E(f59(x7943,x7944,x7945,x7941),f59(x7943,x7944,x7945,x7942)) % 194.45/194.29 [795]~E(x7951,x7952)+E(f313(x7951,x7953),f313(x7952,x7953)) % 194.45/194.29 [796]~E(x7961,x7962)+E(f313(x7963,x7961),f313(x7963,x7962)) % 194.45/194.29 [797]~E(x7971,x7972)+E(f383(x7971,x7973),f383(x7972,x7973)) % 194.45/194.29 [798]~E(x7981,x7982)+E(f383(x7983,x7981),f383(x7983,x7982)) % 194.45/194.29 [799]~E(x7991,x7992)+E(f87(x7991),f87(x7992)) % 194.45/194.29 [800]~E(x8001,x8002)+E(f773(x8001,x8003,x8004,x8005,x8006),f773(x8002,x8003,x8004,x8005,x8006)) % 194.45/194.29 [801]~E(x8011,x8012)+E(f773(x8013,x8011,x8014,x8015,x8016),f773(x8013,x8012,x8014,x8015,x8016)) % 194.45/194.29 [802]~E(x8021,x8022)+E(f773(x8023,x8024,x8021,x8025,x8026),f773(x8023,x8024,x8022,x8025,x8026)) % 194.45/194.29 [803]~E(x8031,x8032)+E(f773(x8033,x8034,x8035,x8031,x8036),f773(x8033,x8034,x8035,x8032,x8036)) % 194.45/194.29 [804]~E(x8041,x8042)+E(f773(x8043,x8044,x8045,x8046,x8041),f773(x8043,x8044,x8045,x8046,x8042)) % 194.45/194.29 [805]~E(x8051,x8052)+E(f285(x8051,x8053),f285(x8052,x8053)) % 194.45/194.29 [806]~E(x8061,x8062)+E(f285(x8063,x8061),f285(x8063,x8062)) % 194.45/194.29 [807]~E(x8071,x8072)+E(f793(x8071,x8073,x8074),f793(x8072,x8073,x8074)) % 194.45/194.29 [808]~E(x8081,x8082)+E(f793(x8083,x8081,x8084),f793(x8083,x8082,x8084)) % 194.45/194.29 [809]~E(x8091,x8092)+E(f793(x8093,x8094,x8091),f793(x8093,x8094,x8092)) % 194.45/194.29 [810]~E(x8101,x8102)+E(f811(x8101,x8103,x8104,x8105),f811(x8102,x8103,x8104,x8105)) % 194.45/194.29 [811]~E(x8111,x8112)+E(f811(x8113,x8111,x8114,x8115),f811(x8113,x8112,x8114,x8115)) % 194.45/194.29 [812]~E(x8121,x8122)+E(f811(x8123,x8124,x8121,x8125),f811(x8123,x8124,x8122,x8125)) % 194.45/194.29 [813]~E(x8131,x8132)+E(f811(x8133,x8134,x8135,x8131),f811(x8133,x8134,x8135,x8132)) % 194.45/194.29 [814]~E(x8141,x8142)+E(f673(x8141,x8143,x8144,x8145),f673(x8142,x8143,x8144,x8145)) % 194.45/194.29 [815]~E(x8151,x8152)+E(f673(x8153,x8151,x8154,x8155),f673(x8153,x8152,x8154,x8155)) % 194.45/194.29 [816]~E(x8161,x8162)+E(f673(x8163,x8164,x8161,x8165),f673(x8163,x8164,x8162,x8165)) % 194.45/194.29 [817]~E(x8171,x8172)+E(f673(x8173,x8174,x8175,x8171),f673(x8173,x8174,x8175,x8172)) % 194.45/194.29 [818]~E(x8181,x8182)+E(f520(x8181,x8183,x8184),f520(x8182,x8183,x8184)) % 194.45/194.29 [819]~E(x8191,x8192)+E(f520(x8193,x8191,x8194),f520(x8193,x8192,x8194)) % 194.45/194.29 [820]~E(x8201,x8202)+E(f520(x8203,x8204,x8201),f520(x8203,x8204,x8202)) % 194.45/194.29 [821]~E(x8211,x8212)+E(f905(x8211,x8213,x8214),f905(x8212,x8213,x8214)) % 194.45/194.29 [822]~E(x8221,x8222)+E(f905(x8223,x8221,x8224),f905(x8223,x8222,x8224)) % 194.45/194.29 [823]~E(x8231,x8232)+E(f905(x8233,x8234,x8231),f905(x8233,x8234,x8232)) % 194.45/194.29 [824]~E(x8241,x8242)+E(f255(x8241,x8243,x8244,x8245),f255(x8242,x8243,x8244,x8245)) % 194.45/194.29 [825]~E(x8251,x8252)+E(f255(x8253,x8251,x8254,x8255),f255(x8253,x8252,x8254,x8255)) % 194.45/194.29 [826]~E(x8261,x8262)+E(f255(x8263,x8264,x8261,x8265),f255(x8263,x8264,x8262,x8265)) % 194.45/194.29 [827]~E(x8271,x8272)+E(f255(x8273,x8274,x8275,x8271),f255(x8273,x8274,x8275,x8272)) % 194.45/194.29 [828]~E(x8281,x8282)+E(f606(x8281,x8283),f606(x8282,x8283)) % 194.45/194.29 [829]~E(x8291,x8292)+E(f606(x8293,x8291),f606(x8293,x8292)) % 194.45/194.29 [830]~E(x8301,x8302)+E(f859(x8301,x8303,x8304,x8305),f859(x8302,x8303,x8304,x8305)) % 194.45/194.29 [831]~E(x8311,x8312)+E(f859(x8313,x8311,x8314,x8315),f859(x8313,x8312,x8314,x8315)) % 194.45/194.29 [832]~E(x8321,x8322)+E(f859(x8323,x8324,x8321,x8325),f859(x8323,x8324,x8322,x8325)) % 194.45/194.29 [833]~E(x8331,x8332)+E(f859(x8333,x8334,x8335,x8331),f859(x8333,x8334,x8335,x8332)) % 194.45/194.29 [834]~E(x8341,x8342)+E(f720(x8341,x8343,x8344),f720(x8342,x8343,x8344)) % 194.45/194.29 [835]~E(x8351,x8352)+E(f720(x8353,x8351,x8354),f720(x8353,x8352,x8354)) % 194.45/194.29 [836]~E(x8361,x8362)+E(f720(x8363,x8364,x8361),f720(x8363,x8364,x8362)) % 194.45/194.29 [837]~E(x8371,x8372)+E(f775(x8371,x8373,x8374,x8375,x8376),f775(x8372,x8373,x8374,x8375,x8376)) % 194.45/194.29 [838]~E(x8381,x8382)+E(f775(x8383,x8381,x8384,x8385,x8386),f775(x8383,x8382,x8384,x8385,x8386)) % 194.45/194.29 [839]~E(x8391,x8392)+E(f775(x8393,x8394,x8391,x8395,x8396),f775(x8393,x8394,x8392,x8395,x8396)) % 194.45/194.29 [840]~E(x8401,x8402)+E(f775(x8403,x8404,x8405,x8401,x8406),f775(x8403,x8404,x8405,x8402,x8406)) % 194.45/194.29 [841]~E(x8411,x8412)+E(f775(x8413,x8414,x8415,x8416,x8411),f775(x8413,x8414,x8415,x8416,x8412)) % 194.45/194.29 [842]~E(x8421,x8422)+E(f202(x8421),f202(x8422)) % 194.45/194.29 [843]~E(x8431,x8432)+E(f455(x8431,x8433),f455(x8432,x8433)) % 194.45/194.29 [844]~E(x8441,x8442)+E(f455(x8443,x8441),f455(x8443,x8442)) % 194.45/194.29 [845]~E(x8451,x8452)+E(f266(x8451,x8453),f266(x8452,x8453)) % 194.45/194.29 [846]~E(x8461,x8462)+E(f266(x8463,x8461),f266(x8463,x8462)) % 194.45/194.29 [847]~E(x8471,x8472)+E(f766(x8471,x8473,x8474,x8475,x8476),f766(x8472,x8473,x8474,x8475,x8476)) % 194.45/194.29 [848]~E(x8481,x8482)+E(f766(x8483,x8481,x8484,x8485,x8486),f766(x8483,x8482,x8484,x8485,x8486)) % 194.45/194.29 [849]~E(x8491,x8492)+E(f766(x8493,x8494,x8491,x8495,x8496),f766(x8493,x8494,x8492,x8495,x8496)) % 194.45/194.29 [850]~E(x8501,x8502)+E(f766(x8503,x8504,x8505,x8501,x8506),f766(x8503,x8504,x8505,x8502,x8506)) % 194.45/194.29 [851]~E(x8511,x8512)+E(f766(x8513,x8514,x8515,x8516,x8511),f766(x8513,x8514,x8515,x8516,x8512)) % 194.45/194.29 [852]~E(x8521,x8522)+E(f493(x8521,x8523,x8524,x8525),f493(x8522,x8523,x8524,x8525)) % 194.45/194.29 [853]~E(x8531,x8532)+E(f493(x8533,x8531,x8534,x8535),f493(x8533,x8532,x8534,x8535)) % 194.45/194.29 [854]~E(x8541,x8542)+E(f493(x8543,x8544,x8541,x8545),f493(x8543,x8544,x8542,x8545)) % 194.45/194.29 [855]~E(x8551,x8552)+E(f493(x8553,x8554,x8555,x8551),f493(x8553,x8554,x8555,x8552)) % 194.45/194.29 [856]~E(x8561,x8562)+E(f494(x8561,x8563,x8564,x8565),f494(x8562,x8563,x8564,x8565)) % 194.45/194.29 [857]~E(x8571,x8572)+E(f494(x8573,x8571,x8574,x8575),f494(x8573,x8572,x8574,x8575)) % 194.45/194.29 [858]~E(x8581,x8582)+E(f494(x8583,x8584,x8581,x8585),f494(x8583,x8584,x8582,x8585)) % 194.45/194.29 [859]~E(x8591,x8592)+E(f494(x8593,x8594,x8595,x8591),f494(x8593,x8594,x8595,x8592)) % 194.45/194.29 [860]~E(x8601,x8602)+E(f119(x8601,x8603,x8604),f119(x8602,x8603,x8604)) % 194.45/194.29 [861]~E(x8611,x8612)+E(f119(x8613,x8611,x8614),f119(x8613,x8612,x8614)) % 194.45/194.29 [862]~E(x8621,x8622)+E(f119(x8623,x8624,x8621),f119(x8623,x8624,x8622)) % 194.45/194.29 [863]~E(x8631,x8632)+E(f97(x8631,x8633),f97(x8632,x8633)) % 194.45/194.29 [864]~E(x8641,x8642)+E(f97(x8643,x8641),f97(x8643,x8642)) % 194.45/194.29 [865]~E(x8651,x8652)+E(f754(x8651,x8653,x8654,x8655),f754(x8652,x8653,x8654,x8655)) % 194.45/194.29 [866]~E(x8661,x8662)+E(f754(x8663,x8661,x8664,x8665),f754(x8663,x8662,x8664,x8665)) % 194.45/194.29 [867]~E(x8671,x8672)+E(f754(x8673,x8674,x8671,x8675),f754(x8673,x8674,x8672,x8675)) % 194.45/194.29 [868]~E(x8681,x8682)+E(f754(x8683,x8684,x8685,x8681),f754(x8683,x8684,x8685,x8682)) % 194.45/194.29 [869]~E(x8691,x8692)+E(f201(x8691),f201(x8692)) % 194.45/194.29 [870]~E(x8701,x8702)+E(f413(x8701,x8703,x8704,x8705),f413(x8702,x8703,x8704,x8705)) % 194.45/194.29 [871]~E(x8711,x8712)+E(f413(x8713,x8711,x8714,x8715),f413(x8713,x8712,x8714,x8715)) % 194.45/194.29 [872]~E(x8721,x8722)+E(f413(x8723,x8724,x8721,x8725),f413(x8723,x8724,x8722,x8725)) % 194.45/194.29 [873]~E(x8731,x8732)+E(f413(x8733,x8734,x8735,x8731),f413(x8733,x8734,x8735,x8732)) % 194.45/194.29 [874]~E(x8741,x8742)+E(f439(x8741,x8743,x8744),f439(x8742,x8743,x8744)) % 194.45/194.29 [875]~E(x8751,x8752)+E(f439(x8753,x8751,x8754),f439(x8753,x8752,x8754)) % 194.45/194.29 [876]~E(x8761,x8762)+E(f439(x8763,x8764,x8761),f439(x8763,x8764,x8762)) % 194.45/194.29 [877]~E(x8771,x8772)+E(f362(x8771,x8773,x8774),f362(x8772,x8773,x8774)) % 194.45/194.29 [878]~E(x8781,x8782)+E(f362(x8783,x8781,x8784),f362(x8783,x8782,x8784)) % 194.45/194.29 [879]~E(x8791,x8792)+E(f362(x8793,x8794,x8791),f362(x8793,x8794,x8792)) % 194.45/194.29 [880]~E(x8801,x8802)+E(f193(x8801,x8803),f193(x8802,x8803)) % 194.45/194.29 [881]~E(x8811,x8812)+E(f193(x8813,x8811),f193(x8813,x8812)) % 194.45/194.29 [882]~E(x8821,x8822)+E(f55(x8821,x8823,x8824),f55(x8822,x8823,x8824)) % 194.45/194.29 [883]~E(x8831,x8832)+E(f55(x8833,x8831,x8834),f55(x8833,x8832,x8834)) % 194.45/194.29 [884]~E(x8841,x8842)+E(f55(x8843,x8844,x8841),f55(x8843,x8844,x8842)) % 194.45/194.29 [885]~E(x8851,x8852)+E(f122(x8851,x8853),f122(x8852,x8853)) % 194.45/194.29 [886]~E(x8861,x8862)+E(f122(x8863,x8861),f122(x8863,x8862)) % 194.45/194.29 [887]~E(x8871,x8872)+E(f554(x8871,x8873,x8874,x8875),f554(x8872,x8873,x8874,x8875)) % 194.45/194.29 [888]~E(x8881,x8882)+E(f554(x8883,x8881,x8884,x8885),f554(x8883,x8882,x8884,x8885)) % 194.45/194.29 [889]~E(x8891,x8892)+E(f554(x8893,x8894,x8891,x8895),f554(x8893,x8894,x8892,x8895)) % 194.45/194.29 [890]~E(x8901,x8902)+E(f554(x8903,x8904,x8905,x8901),f554(x8903,x8904,x8905,x8902)) % 194.45/194.29 [891]~E(x8911,x8912)+E(f903(x8911,x8913,x8914),f903(x8912,x8913,x8914)) % 194.45/194.29 [892]~E(x8921,x8922)+E(f903(x8923,x8921,x8924),f903(x8923,x8922,x8924)) % 194.45/194.29 [893]~E(x8931,x8932)+E(f903(x8933,x8934,x8931),f903(x8933,x8934,x8932)) % 194.45/194.29 [894]~E(x8941,x8942)+E(f426(x8941,x8943,x8944,x8945,x8946),f426(x8942,x8943,x8944,x8945,x8946)) % 194.45/194.29 [895]~E(x8951,x8952)+E(f426(x8953,x8951,x8954,x8955,x8956),f426(x8953,x8952,x8954,x8955,x8956)) % 194.45/194.29 [896]~E(x8961,x8962)+E(f426(x8963,x8964,x8961,x8965,x8966),f426(x8963,x8964,x8962,x8965,x8966)) % 194.45/194.29 [897]~E(x8971,x8972)+E(f426(x8973,x8974,x8975,x8971,x8976),f426(x8973,x8974,x8975,x8972,x8976)) % 194.45/194.29 [898]~E(x8981,x8982)+E(f426(x8983,x8984,x8985,x8986,x8981),f426(x8983,x8984,x8985,x8986,x8982)) % 194.45/194.29 [899]~E(x8991,x8992)+E(f733(x8991,x8993,x8994),f733(x8992,x8993,x8994)) % 194.45/194.29 [900]~E(x9001,x9002)+E(f733(x9003,x9001,x9004),f733(x9003,x9002,x9004)) % 194.45/194.29 [901]~E(x9011,x9012)+E(f733(x9013,x9014,x9011),f733(x9013,x9014,x9012)) % 194.45/194.29 [902]~E(x9021,x9022)+E(f837(x9021),f837(x9022)) % 194.45/194.29 [903]~E(x9031,x9032)+E(f776(x9031,x9033,x9034,x9035,x9036,x9037,x9038),f776(x9032,x9033,x9034,x9035,x9036,x9037,x9038)) % 194.45/194.29 [904]~E(x9041,x9042)+E(f776(x9043,x9041,x9044,x9045,x9046,x9047,x9048),f776(x9043,x9042,x9044,x9045,x9046,x9047,x9048)) % 194.45/194.29 [905]~E(x9051,x9052)+E(f776(x9053,x9054,x9051,x9055,x9056,x9057,x9058),f776(x9053,x9054,x9052,x9055,x9056,x9057,x9058)) % 194.45/194.29 [906]~E(x9061,x9062)+E(f776(x9063,x9064,x9065,x9061,x9066,x9067,x9068),f776(x9063,x9064,x9065,x9062,x9066,x9067,x9068)) % 194.45/194.29 [907]~E(x9071,x9072)+E(f776(x9073,x9074,x9075,x9076,x9071,x9077,x9078),f776(x9073,x9074,x9075,x9076,x9072,x9077,x9078)) % 194.45/194.29 [908]~E(x9081,x9082)+E(f776(x9083,x9084,x9085,x9086,x9087,x9081,x9088),f776(x9083,x9084,x9085,x9086,x9087,x9082,x9088)) % 194.45/194.29 [909]~E(x9091,x9092)+E(f776(x9093,x9094,x9095,x9096,x9097,x9098,x9091),f776(x9093,x9094,x9095,x9096,x9097,x9098,x9092)) % 194.45/194.29 [910]~E(x9101,x9102)+E(f513(x9101,x9103,x9104),f513(x9102,x9103,x9104)) % 194.45/194.29 [911]~E(x9111,x9112)+E(f513(x9113,x9111,x9114),f513(x9113,x9112,x9114)) % 194.45/194.29 [912]~E(x9121,x9122)+E(f513(x9123,x9124,x9121),f513(x9123,x9124,x9122)) % 194.45/194.29 [913]~E(x9131,x9132)+E(f876(x9131,x9133),f876(x9132,x9133)) % 194.45/194.29 [914]~E(x9141,x9142)+E(f876(x9143,x9141),f876(x9143,x9142)) % 194.45/194.29 [915]~E(x9151,x9152)+E(f517(x9151,x9153,x9154),f517(x9152,x9153,x9154)) % 194.45/194.29 [916]~E(x9161,x9162)+E(f517(x9163,x9161,x9164),f517(x9163,x9162,x9164)) % 194.45/194.29 [917]~E(x9171,x9172)+E(f517(x9173,x9174,x9171),f517(x9173,x9174,x9172)) % 194.45/194.29 [918]~E(x9181,x9182)+E(f338(x9181,x9183,x9184,x9185),f338(x9182,x9183,x9184,x9185)) % 194.45/194.29 [919]~E(x9191,x9192)+E(f338(x9193,x9191,x9194,x9195),f338(x9193,x9192,x9194,x9195)) % 194.45/194.29 [920]~E(x9201,x9202)+E(f338(x9203,x9204,x9201,x9205),f338(x9203,x9204,x9202,x9205)) % 194.45/194.29 [921]~E(x9211,x9212)+E(f338(x9213,x9214,x9215,x9211),f338(x9213,x9214,x9215,x9212)) % 194.45/194.29 [922]~E(x9221,x9222)+E(f375(x9221,x9223,x9224,x9225,x9226,x9227,x9228),f375(x9222,x9223,x9224,x9225,x9226,x9227,x9228)) % 194.45/194.29 [923]~E(x9231,x9232)+E(f375(x9233,x9231,x9234,x9235,x9236,x9237,x9238),f375(x9233,x9232,x9234,x9235,x9236,x9237,x9238)) % 194.45/194.29 [924]~E(x9241,x9242)+E(f375(x9243,x9244,x9241,x9245,x9246,x9247,x9248),f375(x9243,x9244,x9242,x9245,x9246,x9247,x9248)) % 194.45/194.29 [925]~E(x9251,x9252)+E(f375(x9253,x9254,x9255,x9251,x9256,x9257,x9258),f375(x9253,x9254,x9255,x9252,x9256,x9257,x9258)) % 194.45/194.29 [926]~E(x9261,x9262)+E(f375(x9263,x9264,x9265,x9266,x9261,x9267,x9268),f375(x9263,x9264,x9265,x9266,x9262,x9267,x9268)) % 194.45/194.29 [927]~E(x9271,x9272)+E(f375(x9273,x9274,x9275,x9276,x9277,x9271,x9278),f375(x9273,x9274,x9275,x9276,x9277,x9272,x9278)) % 194.45/194.29 [928]~E(x9281,x9282)+E(f375(x9283,x9284,x9285,x9286,x9287,x9288,x9281),f375(x9283,x9284,x9285,x9286,x9287,x9288,x9282)) % 194.45/194.29 [929]~E(x9291,x9292)+E(f264(x9291,x9293),f264(x9292,x9293)) % 194.45/194.29 [930]~E(x9301,x9302)+E(f264(x9303,x9301),f264(x9303,x9302)) % 194.45/194.29 [931]~E(x9311,x9312)+E(f449(x9311,x9313,x9314),f449(x9312,x9313,x9314)) % 194.45/194.29 [932]~E(x9321,x9322)+E(f449(x9323,x9321,x9324),f449(x9323,x9322,x9324)) % 194.45/194.29 [933]~E(x9331,x9332)+E(f449(x9333,x9334,x9331),f449(x9333,x9334,x9332)) % 194.45/194.29 [934]~E(x9341,x9342)+E(f866(x9341,x9343,x9344),f866(x9342,x9343,x9344)) % 194.45/194.29 [935]~E(x9351,x9352)+E(f866(x9353,x9351,x9354),f866(x9353,x9352,x9354)) % 194.45/194.29 [936]~E(x9361,x9362)+E(f866(x9363,x9364,x9361),f866(x9363,x9364,x9362)) % 194.45/194.29 [937]~E(x9371,x9372)+E(f887(x9371,x9373,x9374),f887(x9372,x9373,x9374)) % 194.45/194.29 [938]~E(x9381,x9382)+E(f887(x9383,x9381,x9384),f887(x9383,x9382,x9384)) % 194.45/194.29 [939]~E(x9391,x9392)+E(f887(x9393,x9394,x9391),f887(x9393,x9394,x9392)) % 194.45/194.29 [940]~E(x9401,x9402)+E(f572(x9401,x9403,x9404),f572(x9402,x9403,x9404)) % 194.45/194.29 [941]~E(x9411,x9412)+E(f572(x9413,x9411,x9414),f572(x9413,x9412,x9414)) % 194.45/194.29 [942]~E(x9421,x9422)+E(f572(x9423,x9424,x9421),f572(x9423,x9424,x9422)) % 194.45/194.29 [943]~E(x9431,x9432)+E(f135(x9431),f135(x9432)) % 194.45/194.29 [944]~E(x9441,x9442)+E(f830(x9441),f830(x9442)) % 194.45/194.29 [945]~E(x9451,x9452)+E(f687(x9451,x9453,x9454,x9455,x9456),f687(x9452,x9453,x9454,x9455,x9456)) % 194.45/194.29 [946]~E(x9461,x9462)+E(f687(x9463,x9461,x9464,x9465,x9466),f687(x9463,x9462,x9464,x9465,x9466)) % 194.45/194.29 [947]~E(x9471,x9472)+E(f687(x9473,x9474,x9471,x9475,x9476),f687(x9473,x9474,x9472,x9475,x9476)) % 194.45/194.29 [948]~E(x9481,x9482)+E(f687(x9483,x9484,x9485,x9481,x9486),f687(x9483,x9484,x9485,x9482,x9486)) % 194.45/194.29 [949]~E(x9491,x9492)+E(f687(x9493,x9494,x9495,x9496,x9491),f687(x9493,x9494,x9495,x9496,x9492)) % 194.45/194.29 [950]~E(x9501,x9502)+E(f885(x9501,x9503),f885(x9502,x9503)) % 194.45/194.29 [951]~E(x9511,x9512)+E(f885(x9513,x9511),f885(x9513,x9512)) % 194.45/194.29 [952]~E(x9521,x9522)+E(f444(x9521,x9523,x9524),f444(x9522,x9523,x9524)) % 194.45/194.29 [953]~E(x9531,x9532)+E(f444(x9533,x9531,x9534),f444(x9533,x9532,x9534)) % 194.45/194.29 [954]~E(x9541,x9542)+E(f444(x9543,x9544,x9541),f444(x9543,x9544,x9542)) % 194.45/194.29 [955]~E(x9551,x9552)+E(f371(x9551,x9553,x9554),f371(x9552,x9553,x9554)) % 194.45/194.29 [956]~E(x9561,x9562)+E(f371(x9563,x9561,x9564),f371(x9563,x9562,x9564)) % 194.45/194.29 [957]~E(x9571,x9572)+E(f371(x9573,x9574,x9571),f371(x9573,x9574,x9572)) % 194.45/194.29 [958]~E(x9581,x9582)+E(f231(x9581,x9583,x9584),f231(x9582,x9583,x9584)) % 194.45/194.29 [959]~E(x9591,x9592)+E(f231(x9593,x9591,x9594),f231(x9593,x9592,x9594)) % 194.45/194.29 [960]~E(x9601,x9602)+E(f231(x9603,x9604,x9601),f231(x9603,x9604,x9602)) % 194.45/194.29 [961]~E(x9611,x9612)+E(f295(x9611,x9613,x9614),f295(x9612,x9613,x9614)) % 194.45/194.29 [962]~E(x9621,x9622)+E(f295(x9623,x9621,x9624),f295(x9623,x9622,x9624)) % 194.45/194.29 [963]~E(x9631,x9632)+E(f295(x9633,x9634,x9631),f295(x9633,x9634,x9632)) % 194.45/194.29 [964]~E(x9641,x9642)+E(f666(x9641,x9643),f666(x9642,x9643)) % 194.45/194.29 [965]~E(x9651,x9652)+E(f666(x9653,x9651),f666(x9653,x9652)) % 194.45/194.29 [966]~E(x9661,x9662)+E(f897(x9661,x9663,x9664,x9665),f897(x9662,x9663,x9664,x9665)) % 194.45/194.29 [967]~E(x9671,x9672)+E(f897(x9673,x9671,x9674,x9675),f897(x9673,x9672,x9674,x9675)) % 194.45/194.29 [968]~E(x9681,x9682)+E(f897(x9683,x9684,x9681,x9685),f897(x9683,x9684,x9682,x9685)) % 194.45/194.29 [969]~E(x9691,x9692)+E(f897(x9693,x9694,x9695,x9691),f897(x9693,x9694,x9695,x9692)) % 194.45/194.29 [970]~E(x9701,x9702)+E(f462(x9701,x9703),f462(x9702,x9703)) % 194.45/194.29 [971]~E(x9711,x9712)+E(f462(x9713,x9711),f462(x9713,x9712)) % 194.45/194.29 [972]~E(x9721,x9722)+E(f804(x9721,x9723,x9724,x9725,x9726),f804(x9722,x9723,x9724,x9725,x9726)) % 194.45/194.29 [973]~E(x9731,x9732)+E(f804(x9733,x9731,x9734,x9735,x9736),f804(x9733,x9732,x9734,x9735,x9736)) % 194.45/194.29 [974]~E(x9741,x9742)+E(f804(x9743,x9744,x9741,x9745,x9746),f804(x9743,x9744,x9742,x9745,x9746)) % 194.45/194.29 [975]~E(x9751,x9752)+E(f804(x9753,x9754,x9755,x9751,x9756),f804(x9753,x9754,x9755,x9752,x9756)) % 194.45/194.29 [976]~E(x9761,x9762)+E(f804(x9763,x9764,x9765,x9766,x9761),f804(x9763,x9764,x9765,x9766,x9762)) % 194.45/194.29 [977]~E(x9771,x9772)+E(f592(x9771,x9773,x9774,x9775,x9776,x9777),f592(x9772,x9773,x9774,x9775,x9776,x9777)) % 194.45/194.29 [978]~E(x9781,x9782)+E(f592(x9783,x9781,x9784,x9785,x9786,x9787),f592(x9783,x9782,x9784,x9785,x9786,x9787)) % 194.45/194.29 [979]~E(x9791,x9792)+E(f592(x9793,x9794,x9791,x9795,x9796,x9797),f592(x9793,x9794,x9792,x9795,x9796,x9797)) % 194.45/194.29 [980]~E(x9801,x9802)+E(f592(x9803,x9804,x9805,x9801,x9806,x9807),f592(x9803,x9804,x9805,x9802,x9806,x9807)) % 194.45/194.29 [981]~E(x9811,x9812)+E(f592(x9813,x9814,x9815,x9816,x9811,x9817),f592(x9813,x9814,x9815,x9816,x9812,x9817)) % 194.45/194.29 [982]~E(x9821,x9822)+E(f592(x9823,x9824,x9825,x9826,x9827,x9821),f592(x9823,x9824,x9825,x9826,x9827,x9822)) % 194.45/194.29 [983]~E(x9831,x9832)+E(f335(x9831,x9833,x9834,x9835),f335(x9832,x9833,x9834,x9835)) % 194.45/194.29 [984]~E(x9841,x9842)+E(f335(x9843,x9841,x9844,x9845),f335(x9843,x9842,x9844,x9845)) % 194.45/194.29 [985]~E(x9851,x9852)+E(f335(x9853,x9854,x9851,x9855),f335(x9853,x9854,x9852,x9855)) % 194.45/194.29 [986]~E(x9861,x9862)+E(f335(x9863,x9864,x9865,x9861),f335(x9863,x9864,x9865,x9862)) % 194.45/194.29 [987]~E(x9871,x9872)+E(f756(x9871,x9873),f756(x9872,x9873)) % 194.45/194.29 [988]~E(x9881,x9882)+E(f756(x9883,x9881),f756(x9883,x9882)) % 194.45/194.29 [989]~E(x9891,x9892)+E(f871(x9891,x9893),f871(x9892,x9893)) % 194.45/194.29 [990]~E(x9901,x9902)+E(f871(x9903,x9901),f871(x9903,x9902)) % 194.45/194.29 [991]~E(x9911,x9912)+E(f146(x9911,x9913),f146(x9912,x9913)) % 194.45/194.29 [992]~E(x9921,x9922)+E(f146(x9923,x9921),f146(x9923,x9922)) % 194.45/194.29 [993]~E(x9931,x9932)+E(f559(x9931,x9933,x9934,x9935),f559(x9932,x9933,x9934,x9935)) % 194.45/194.29 [994]~E(x9941,x9942)+E(f559(x9943,x9941,x9944,x9945),f559(x9943,x9942,x9944,x9945)) % 194.45/194.29 [995]~E(x9951,x9952)+E(f559(x9953,x9954,x9951,x9955),f559(x9953,x9954,x9952,x9955)) % 194.45/194.29 [996]~E(x9961,x9962)+E(f559(x9963,x9964,x9965,x9961),f559(x9963,x9964,x9965,x9962)) % 194.45/194.29 [997]~E(x9971,x9972)+E(f73(x9971,x9973),f73(x9972,x9973)) % 194.45/194.29 [998]~E(x9981,x9982)+E(f73(x9983,x9981),f73(x9983,x9982)) % 194.45/194.29 [999]~E(x9991,x9992)+E(f713(x9991,x9993,x9994,x9995,x9996),f713(x9992,x9993,x9994,x9995,x9996)) % 194.45/194.29 [1000]~E(x10001,x10002)+E(f713(x10003,x10001,x10004,x10005,x10006),f713(x10003,x10002,x10004,x10005,x10006)) % 194.45/194.29 [1001]~E(x10011,x10012)+E(f713(x10013,x10014,x10011,x10015,x10016),f713(x10013,x10014,x10012,x10015,x10016)) % 194.45/194.29 [1002]~E(x10021,x10022)+E(f713(x10023,x10024,x10025,x10021,x10026),f713(x10023,x10024,x10025,x10022,x10026)) % 194.45/194.29 [1003]~E(x10031,x10032)+E(f713(x10033,x10034,x10035,x10036,x10031),f713(x10033,x10034,x10035,x10036,x10032)) % 194.45/194.29 [1004]~E(x10041,x10042)+E(f303(x10041,x10043,x10044),f303(x10042,x10043,x10044)) % 194.45/194.29 [1005]~E(x10051,x10052)+E(f303(x10053,x10051,x10054),f303(x10053,x10052,x10054)) % 194.45/194.29 [1006]~E(x10061,x10062)+E(f303(x10063,x10064,x10061),f303(x10063,x10064,x10062)) % 194.45/194.29 [1007]~E(x10071,x10072)+E(f318(x10071,x10073,x10074),f318(x10072,x10073,x10074)) % 194.45/194.29 [1008]~E(x10081,x10082)+E(f318(x10083,x10081,x10084),f318(x10083,x10082,x10084)) % 194.45/194.29 [1009]~E(x10091,x10092)+E(f318(x10093,x10094,x10091),f318(x10093,x10094,x10092)) % 194.45/194.29 [1010]~E(x10101,x10102)+E(f94(x10101,x10103,x10104,x10105),f94(x10102,x10103,x10104,x10105)) % 194.45/194.29 [1011]~E(x10111,x10112)+E(f94(x10113,x10111,x10114,x10115),f94(x10113,x10112,x10114,x10115)) % 194.45/194.29 [1012]~E(x10121,x10122)+E(f94(x10123,x10124,x10121,x10125),f94(x10123,x10124,x10122,x10125)) % 194.45/194.29 [1013]~E(x10131,x10132)+E(f94(x10133,x10134,x10135,x10131),f94(x10133,x10134,x10135,x10132)) % 194.45/194.29 [1014]~E(x10141,x10142)+E(f577(x10141,x10143,x10144,x10145,x10146),f577(x10142,x10143,x10144,x10145,x10146)) % 194.45/194.29 [1015]~E(x10151,x10152)+E(f577(x10153,x10151,x10154,x10155,x10156),f577(x10153,x10152,x10154,x10155,x10156)) % 194.45/194.29 [1016]~E(x10161,x10162)+E(f577(x10163,x10164,x10161,x10165,x10166),f577(x10163,x10164,x10162,x10165,x10166)) % 194.45/194.29 [1017]~E(x10171,x10172)+E(f577(x10173,x10174,x10175,x10171,x10176),f577(x10173,x10174,x10175,x10172,x10176)) % 194.45/194.29 [1018]~E(x10181,x10182)+E(f577(x10183,x10184,x10185,x10186,x10181),f577(x10183,x10184,x10185,x10186,x10182)) % 194.45/194.29 [1019]~E(x10191,x10192)+E(f397(x10191,x10193,x10194),f397(x10192,x10193,x10194)) % 194.45/194.29 [1020]~E(x10201,x10202)+E(f397(x10203,x10201,x10204),f397(x10203,x10202,x10204)) % 194.45/194.29 [1021]~E(x10211,x10212)+E(f397(x10213,x10214,x10211),f397(x10213,x10214,x10212)) % 194.45/194.29 [1022]~E(x10221,x10222)+E(f489(x10221,x10223,x10224,x10225,x10226,x10227),f489(x10222,x10223,x10224,x10225,x10226,x10227)) % 194.45/194.29 [1023]~E(x10231,x10232)+E(f489(x10233,x10231,x10234,x10235,x10236,x10237),f489(x10233,x10232,x10234,x10235,x10236,x10237)) % 194.45/194.29 [1024]~E(x10241,x10242)+E(f489(x10243,x10244,x10241,x10245,x10246,x10247),f489(x10243,x10244,x10242,x10245,x10246,x10247)) % 194.45/194.29 [1025]~E(x10251,x10252)+E(f489(x10253,x10254,x10255,x10251,x10256,x10257),f489(x10253,x10254,x10255,x10252,x10256,x10257)) % 194.45/194.29 [1026]~E(x10261,x10262)+E(f489(x10263,x10264,x10265,x10266,x10261,x10267),f489(x10263,x10264,x10265,x10266,x10262,x10267)) % 194.45/194.29 [1027]~E(x10271,x10272)+E(f489(x10273,x10274,x10275,x10276,x10277,x10271),f489(x10273,x10274,x10275,x10276,x10277,x10272)) % 194.45/194.29 [1028]~E(x10281,x10282)+E(f619(x10281,x10283,x10284,x10285,x10286,x10287),f619(x10282,x10283,x10284,x10285,x10286,x10287)) % 194.45/194.29 [1029]~E(x10291,x10292)+E(f619(x10293,x10291,x10294,x10295,x10296,x10297),f619(x10293,x10292,x10294,x10295,x10296,x10297)) % 194.45/194.29 [1030]~E(x10301,x10302)+E(f619(x10303,x10304,x10301,x10305,x10306,x10307),f619(x10303,x10304,x10302,x10305,x10306,x10307)) % 194.45/194.29 [1031]~E(x10311,x10312)+E(f619(x10313,x10314,x10315,x10311,x10316,x10317),f619(x10313,x10314,x10315,x10312,x10316,x10317)) % 194.45/194.29 [1032]~E(x10321,x10322)+E(f619(x10323,x10324,x10325,x10326,x10321,x10327),f619(x10323,x10324,x10325,x10326,x10322,x10327)) % 194.45/194.29 [1033]~E(x10331,x10332)+E(f619(x10333,x10334,x10335,x10336,x10337,x10331),f619(x10333,x10334,x10335,x10336,x10337,x10332)) % 194.45/194.29 [1034]~E(x10341,x10342)+E(f728(x10341,x10343,x10344,x10345),f728(x10342,x10343,x10344,x10345)) % 194.45/194.29 [1035]~E(x10351,x10352)+E(f728(x10353,x10351,x10354,x10355),f728(x10353,x10352,x10354,x10355)) % 194.45/194.29 [1036]~E(x10361,x10362)+E(f728(x10363,x10364,x10361,x10365),f728(x10363,x10364,x10362,x10365)) % 194.45/194.29 [1037]~E(x10371,x10372)+E(f728(x10373,x10374,x10375,x10371),f728(x10373,x10374,x10375,x10372)) % 194.45/194.29 [1038]~E(x10381,x10382)+E(f464(x10381,x10383),f464(x10382,x10383)) % 194.45/194.29 [1039]~E(x10391,x10392)+E(f464(x10393,x10391),f464(x10393,x10392)) % 194.45/194.29 [1040]~E(x10401,x10402)+E(f217(x10401,x10403),f217(x10402,x10403)) % 194.45/194.29 [1041]~E(x10411,x10412)+E(f217(x10413,x10411),f217(x10413,x10412)) % 194.45/194.29 [1042]~E(x10421,x10422)+E(f637(x10421,x10423,x10424,x10425),f637(x10422,x10423,x10424,x10425)) % 194.45/194.29 [1043]~E(x10431,x10432)+E(f637(x10433,x10431,x10434,x10435),f637(x10433,x10432,x10434,x10435)) % 194.45/194.29 [1044]~E(x10441,x10442)+E(f637(x10443,x10444,x10441,x10445),f637(x10443,x10444,x10442,x10445)) % 194.45/194.29 [1045]~E(x10451,x10452)+E(f637(x10453,x10454,x10455,x10451),f637(x10453,x10454,x10455,x10452)) % 194.45/194.29 [1046]~E(x10461,x10462)+E(f418(x10461,x10463,x10464,x10465),f418(x10462,x10463,x10464,x10465)) % 194.45/194.29 [1047]~E(x10471,x10472)+E(f418(x10473,x10471,x10474,x10475),f418(x10473,x10472,x10474,x10475)) % 194.45/194.29 [1048]~E(x10481,x10482)+E(f418(x10483,x10484,x10481,x10485),f418(x10483,x10484,x10482,x10485)) % 194.45/194.29 [1049]~E(x10491,x10492)+E(f418(x10493,x10494,x10495,x10491),f418(x10493,x10494,x10495,x10492)) % 194.45/194.29 [1050]~E(x10501,x10502)+E(f26(x10501,x10503,x10504),f26(x10502,x10503,x10504)) % 194.45/194.29 [1051]~E(x10511,x10512)+E(f26(x10513,x10511,x10514),f26(x10513,x10512,x10514)) % 194.45/194.29 [1052]~E(x10521,x10522)+E(f26(x10523,x10524,x10521),f26(x10523,x10524,x10522)) % 194.45/194.29 [1053]~E(x10531,x10532)+E(f841(x10531,x10533),f841(x10532,x10533)) % 194.45/194.29 [1054]~E(x10541,x10542)+E(f841(x10543,x10541),f841(x10543,x10542)) % 194.45/194.29 [1055]~E(x10551,x10552)+E(f862(x10551,x10553,x10554),f862(x10552,x10553,x10554)) % 194.45/194.29 [1056]~E(x10561,x10562)+E(f862(x10563,x10561,x10564),f862(x10563,x10562,x10564)) % 194.45/194.29 [1057]~E(x10571,x10572)+E(f862(x10573,x10574,x10571),f862(x10573,x10574,x10572)) % 194.45/194.29 [1058]~E(x10581,x10582)+E(f293(x10581,x10583,x10584,x10585),f293(x10582,x10583,x10584,x10585)) % 194.45/194.29 [1059]~E(x10591,x10592)+E(f293(x10593,x10591,x10594,x10595),f293(x10593,x10592,x10594,x10595)) % 194.45/194.29 [1060]~E(x10601,x10602)+E(f293(x10603,x10604,x10601,x10605),f293(x10603,x10604,x10602,x10605)) % 194.45/194.29 [1061]~E(x10611,x10612)+E(f293(x10613,x10614,x10615,x10611),f293(x10613,x10614,x10615,x10612)) % 194.45/194.29 [1062]~E(x10621,x10622)+E(f498(x10621,x10623,x10624,x10625,x10626,x10627),f498(x10622,x10623,x10624,x10625,x10626,x10627)) % 194.45/194.29 [1063]~E(x10631,x10632)+E(f498(x10633,x10631,x10634,x10635,x10636,x10637),f498(x10633,x10632,x10634,x10635,x10636,x10637)) % 194.45/194.29 [1064]~E(x10641,x10642)+E(f498(x10643,x10644,x10641,x10645,x10646,x10647),f498(x10643,x10644,x10642,x10645,x10646,x10647)) % 194.45/194.29 [1065]~E(x10651,x10652)+E(f498(x10653,x10654,x10655,x10651,x10656,x10657),f498(x10653,x10654,x10655,x10652,x10656,x10657)) % 194.45/194.29 [1066]~E(x10661,x10662)+E(f498(x10663,x10664,x10665,x10666,x10661,x10667),f498(x10663,x10664,x10665,x10666,x10662,x10667)) % 194.45/194.29 [1067]~E(x10671,x10672)+E(f498(x10673,x10674,x10675,x10676,x10677,x10671),f498(x10673,x10674,x10675,x10676,x10677,x10672)) % 194.45/194.29 [1068]~E(x10681,x10682)+E(f601(x10681,x10683,x10684),f601(x10682,x10683,x10684)) % 194.45/194.29 [1069]~E(x10691,x10692)+E(f601(x10693,x10691,x10694),f601(x10693,x10692,x10694)) % 194.45/194.29 [1070]~E(x10701,x10702)+E(f601(x10703,x10704,x10701),f601(x10703,x10704,x10702)) % 194.45/194.29 [1071]~E(x10711,x10712)+E(f710(x10711,x10713,x10714,x10715),f710(x10712,x10713,x10714,x10715)) % 194.45/194.29 [1072]~E(x10721,x10722)+E(f710(x10723,x10721,x10724,x10725),f710(x10723,x10722,x10724,x10725)) % 194.45/194.29 [1073]~E(x10731,x10732)+E(f710(x10733,x10734,x10731,x10735),f710(x10733,x10734,x10732,x10735)) % 194.45/194.29 [1074]~E(x10741,x10742)+E(f710(x10743,x10744,x10745,x10741),f710(x10743,x10744,x10745,x10742)) % 194.45/194.29 [1075]~E(x10751,x10752)+E(f370(x10751,x10753,x10754,x10755,x10756,x10757),f370(x10752,x10753,x10754,x10755,x10756,x10757)) % 194.45/194.29 [1076]~E(x10761,x10762)+E(f370(x10763,x10761,x10764,x10765,x10766,x10767),f370(x10763,x10762,x10764,x10765,x10766,x10767)) % 194.45/194.29 [1077]~E(x10771,x10772)+E(f370(x10773,x10774,x10771,x10775,x10776,x10777),f370(x10773,x10774,x10772,x10775,x10776,x10777)) % 194.45/194.29 [1078]~E(x10781,x10782)+E(f370(x10783,x10784,x10785,x10781,x10786,x10787),f370(x10783,x10784,x10785,x10782,x10786,x10787)) % 194.45/194.29 [1079]~E(x10791,x10792)+E(f370(x10793,x10794,x10795,x10796,x10791,x10797),f370(x10793,x10794,x10795,x10796,x10792,x10797)) % 194.45/194.29 [1080]~E(x10801,x10802)+E(f370(x10803,x10804,x10805,x10806,x10807,x10801),f370(x10803,x10804,x10805,x10806,x10807,x10802)) % 194.45/194.29 [1081]~E(x10811,x10812)+E(f665(x10811,x10813,x10814),f665(x10812,x10813,x10814)) % 194.45/194.29 [1082]~E(x10821,x10822)+E(f665(x10823,x10821,x10824),f665(x10823,x10822,x10824)) % 194.45/194.29 [1083]~E(x10831,x10832)+E(f665(x10833,x10834,x10831),f665(x10833,x10834,x10832)) % 194.45/194.29 [1084]~E(x10841,x10842)+E(f346(x10841),f346(x10842)) % 194.45/194.29 [1085]~E(x10851,x10852)+E(f560(x10851,x10853,x10854,x10855),f560(x10852,x10853,x10854,x10855)) % 194.45/194.29 [1086]~E(x10861,x10862)+E(f560(x10863,x10861,x10864,x10865),f560(x10863,x10862,x10864,x10865)) % 194.45/194.29 [1087]~E(x10871,x10872)+E(f560(x10873,x10874,x10871,x10875),f560(x10873,x10874,x10872,x10875)) % 194.45/194.29 [1088]~E(x10881,x10882)+E(f560(x10883,x10884,x10885,x10881),f560(x10883,x10884,x10885,x10882)) % 194.45/194.29 [1089]~E(x10891,x10892)+E(f692(x10891,x10893,x10894),f692(x10892,x10893,x10894)) % 194.45/194.29 [1090]~E(x10901,x10902)+E(f692(x10903,x10901,x10904),f692(x10903,x10902,x10904)) % 194.45/194.29 [1091]~E(x10911,x10912)+E(f692(x10913,x10914,x10911),f692(x10913,x10914,x10912)) % 194.45/194.29 [1092]~E(x10921,x10922)+E(f210(x10921,x10923,x10924,x10925),f210(x10922,x10923,x10924,x10925)) % 194.45/194.29 [1093]~E(x10931,x10932)+E(f210(x10933,x10931,x10934,x10935),f210(x10933,x10932,x10934,x10935)) % 194.45/194.29 [1094]~E(x10941,x10942)+E(f210(x10943,x10944,x10941,x10945),f210(x10943,x10944,x10942,x10945)) % 194.45/194.29 [1095]~E(x10951,x10952)+E(f210(x10953,x10954,x10955,x10951),f210(x10953,x10954,x10955,x10952)) % 194.45/194.29 [1096]~E(x10961,x10962)+E(f351(x10961,x10963,x10964),f351(x10962,x10963,x10964)) % 194.45/194.29 [1097]~E(x10971,x10972)+E(f351(x10973,x10971,x10974),f351(x10973,x10972,x10974)) % 194.45/194.29 [1098]~E(x10981,x10982)+E(f351(x10983,x10984,x10981),f351(x10983,x10984,x10982)) % 194.45/194.29 [1099]~E(x10991,x10992)+E(f132(x10991,x10993),f132(x10992,x10993)) % 194.45/194.29 [1100]~E(x11001,x11002)+E(f132(x11003,x11001),f132(x11003,x11002)) % 194.45/194.29 [1101]~E(x11011,x11012)+E(f129(x11011,x11013),f129(x11012,x11013)) % 194.45/194.29 [1102]~E(x11021,x11022)+E(f129(x11023,x11021),f129(x11023,x11022)) % 194.45/194.29 [1103]~E(x11031,x11032)+E(f670(x11031,x11033,x11034,x11035,x11036),f670(x11032,x11033,x11034,x11035,x11036)) % 194.45/194.29 [1104]~E(x11041,x11042)+E(f670(x11043,x11041,x11044,x11045,x11046),f670(x11043,x11042,x11044,x11045,x11046)) % 194.45/194.29 [1105]~E(x11051,x11052)+E(f670(x11053,x11054,x11051,x11055,x11056),f670(x11053,x11054,x11052,x11055,x11056)) % 194.45/194.29 [1106]~E(x11061,x11062)+E(f670(x11063,x11064,x11065,x11061,x11066),f670(x11063,x11064,x11065,x11062,x11066)) % 194.45/194.29 [1107]~E(x11071,x11072)+E(f670(x11073,x11074,x11075,x11076,x11071),f670(x11073,x11074,x11075,x11076,x11072)) % 194.45/194.29 [1108]~E(x11081,x11082)+E(f672(x11081,x11083,x11084,x11085),f672(x11082,x11083,x11084,x11085)) % 194.45/194.29 [1109]~E(x11091,x11092)+E(f672(x11093,x11091,x11094,x11095),f672(x11093,x11092,x11094,x11095)) % 194.45/194.29 [1110]~E(x11101,x11102)+E(f672(x11103,x11104,x11101,x11105),f672(x11103,x11104,x11102,x11105)) % 194.45/194.29 [1111]~E(x11111,x11112)+E(f672(x11113,x11114,x11115,x11111),f672(x11113,x11114,x11115,x11112)) % 194.45/194.29 [1112]~E(x11121,x11122)+E(f458(x11121,x11123),f458(x11122,x11123)) % 194.45/194.29 [1113]~E(x11131,x11132)+E(f458(x11133,x11131),f458(x11133,x11132)) % 194.45/194.29 [1114]~E(x11141,x11142)+E(f759(x11141,x11143,x11144,x11145),f759(x11142,x11143,x11144,x11145)) % 194.45/194.29 [1115]~E(x11151,x11152)+E(f759(x11153,x11151,x11154,x11155),f759(x11153,x11152,x11154,x11155)) % 194.45/194.29 [1116]~E(x11161,x11162)+E(f759(x11163,x11164,x11161,x11165),f759(x11163,x11164,x11162,x11165)) % 194.45/194.29 [1117]~E(x11171,x11172)+E(f759(x11173,x11174,x11175,x11171),f759(x11173,x11174,x11175,x11172)) % 194.45/194.29 [1118]~E(x11181,x11182)+E(f229(x11181,x11183,x11184),f229(x11182,x11183,x11184)) % 194.45/194.29 [1119]~E(x11191,x11192)+E(f229(x11193,x11191,x11194),f229(x11193,x11192,x11194)) % 194.45/194.29 [1120]~E(x11201,x11202)+E(f229(x11203,x11204,x11201),f229(x11203,x11204,x11202)) % 194.45/194.29 [1121]~E(x11211,x11212)+E(f460(x11211,x11213,x11214,x11215,x11216),f460(x11212,x11213,x11214,x11215,x11216)) % 194.45/194.29 [1122]~E(x11221,x11222)+E(f460(x11223,x11221,x11224,x11225,x11226),f460(x11223,x11222,x11224,x11225,x11226)) % 194.45/194.29 [1123]~E(x11231,x11232)+E(f460(x11233,x11234,x11231,x11235,x11236),f460(x11233,x11234,x11232,x11235,x11236)) % 194.45/194.29 [1124]~E(x11241,x11242)+E(f460(x11243,x11244,x11245,x11241,x11246),f460(x11243,x11244,x11245,x11242,x11246)) % 194.45/194.29 [1125]~E(x11251,x11252)+E(f460(x11253,x11254,x11255,x11256,x11251),f460(x11253,x11254,x11255,x11256,x11252)) % 194.45/194.29 [1126]~E(x11261,x11262)+E(f599(x11261,x11263,x11264,x11265),f599(x11262,x11263,x11264,x11265)) % 194.45/194.29 [1127]~E(x11271,x11272)+E(f599(x11273,x11271,x11274,x11275),f599(x11273,x11272,x11274,x11275)) % 194.45/194.29 [1128]~E(x11281,x11282)+E(f599(x11283,x11284,x11281,x11285),f599(x11283,x11284,x11282,x11285)) % 194.45/194.29 [1129]~E(x11291,x11292)+E(f599(x11293,x11294,x11295,x11291),f599(x11293,x11294,x11295,x11292)) % 194.45/194.29 [1130]~E(x11301,x11302)+E(f911(x11301,x11303,x11304),f911(x11302,x11303,x11304)) % 194.45/194.29 [1131]~E(x11311,x11312)+E(f911(x11313,x11311,x11314),f911(x11313,x11312,x11314)) % 194.45/194.29 [1132]~E(x11321,x11322)+E(f911(x11323,x11324,x11321),f911(x11323,x11324,x11322)) % 194.45/194.29 [1133]~E(x11331,x11332)+E(f624(x11331,x11333,x11334,x11335,x11336,x11337),f624(x11332,x11333,x11334,x11335,x11336,x11337)) % 194.45/194.29 [1134]~E(x11341,x11342)+E(f624(x11343,x11341,x11344,x11345,x11346,x11347),f624(x11343,x11342,x11344,x11345,x11346,x11347)) % 194.45/194.29 [1135]~E(x11351,x11352)+E(f624(x11353,x11354,x11351,x11355,x11356,x11357),f624(x11353,x11354,x11352,x11355,x11356,x11357)) % 194.45/194.29 [1136]~E(x11361,x11362)+E(f624(x11363,x11364,x11365,x11361,x11366,x11367),f624(x11363,x11364,x11365,x11362,x11366,x11367)) % 194.45/194.29 [1137]~E(x11371,x11372)+E(f624(x11373,x11374,x11375,x11376,x11371,x11377),f624(x11373,x11374,x11375,x11376,x11372,x11377)) % 194.45/194.29 [1138]~E(x11381,x11382)+E(f624(x11383,x11384,x11385,x11386,x11387,x11381),f624(x11383,x11384,x11385,x11386,x11387,x11382)) % 194.45/194.29 [1139]~E(x11391,x11392)+E(f777(x11391,x11393,x11394,x11395,x11396),f777(x11392,x11393,x11394,x11395,x11396)) % 194.45/194.29 [1140]~E(x11401,x11402)+E(f777(x11403,x11401,x11404,x11405,x11406),f777(x11403,x11402,x11404,x11405,x11406)) % 194.45/194.29 [1141]~E(x11411,x11412)+E(f777(x11413,x11414,x11411,x11415,x11416),f777(x11413,x11414,x11412,x11415,x11416)) % 194.45/194.29 [1142]~E(x11421,x11422)+E(f777(x11423,x11424,x11425,x11421,x11426),f777(x11423,x11424,x11425,x11422,x11426)) % 194.45/194.29 [1143]~E(x11431,x11432)+E(f777(x11433,x11434,x11435,x11436,x11431),f777(x11433,x11434,x11435,x11436,x11432)) % 194.45/194.29 [1144]~E(x11441,x11442)+E(f902(x11441,x11443,x11444),f902(x11442,x11443,x11444)) % 194.45/194.29 [1145]~E(x11451,x11452)+E(f902(x11453,x11451,x11454),f902(x11453,x11452,x11454)) % 194.45/194.29 [1146]~E(x11461,x11462)+E(f902(x11463,x11464,x11461),f902(x11463,x11464,x11462)) % 194.45/194.29 [1147]~E(x11471,x11472)+E(f831(x11471,x11473),f831(x11472,x11473)) % 194.45/194.29 [1148]~E(x11481,x11482)+E(f831(x11483,x11481),f831(x11483,x11482)) % 194.45/194.29 [1149]~E(x11491,x11492)+E(f434(x11491,x11493,x11494,x11495,x11496,x11497,x11498),f434(x11492,x11493,x11494,x11495,x11496,x11497,x11498)) % 194.45/194.29 [1150]~E(x11501,x11502)+E(f434(x11503,x11501,x11504,x11505,x11506,x11507,x11508),f434(x11503,x11502,x11504,x11505,x11506,x11507,x11508)) % 194.45/194.29 [1151]~E(x11511,x11512)+E(f434(x11513,x11514,x11511,x11515,x11516,x11517,x11518),f434(x11513,x11514,x11512,x11515,x11516,x11517,x11518)) % 194.45/194.29 [1152]~E(x11521,x11522)+E(f434(x11523,x11524,x11525,x11521,x11526,x11527,x11528),f434(x11523,x11524,x11525,x11522,x11526,x11527,x11528)) % 194.45/194.29 [1153]~E(x11531,x11532)+E(f434(x11533,x11534,x11535,x11536,x11531,x11537,x11538),f434(x11533,x11534,x11535,x11536,x11532,x11537,x11538)) % 194.45/194.29 [1154]~E(x11541,x11542)+E(f434(x11543,x11544,x11545,x11546,x11547,x11541,x11548),f434(x11543,x11544,x11545,x11546,x11547,x11542,x11548)) % 194.45/194.29 [1155]~E(x11551,x11552)+E(f434(x11553,x11554,x11555,x11556,x11557,x11558,x11551),f434(x11553,x11554,x11555,x11556,x11557,x11558,x11552)) % 194.45/194.29 [1156]~E(x11561,x11562)+E(f200(x11561,x11563),f200(x11562,x11563)) % 194.45/194.29 [1157]~E(x11571,x11572)+E(f200(x11573,x11571),f200(x11573,x11572)) % 194.45/194.29 [1158]~E(x11581,x11582)+E(f514(x11581,x11583,x11584),f514(x11582,x11583,x11584)) % 194.45/194.29 [1159]~E(x11591,x11592)+E(f514(x11593,x11591,x11594),f514(x11593,x11592,x11594)) % 194.45/194.29 [1160]~E(x11601,x11602)+E(f514(x11603,x11604,x11601),f514(x11603,x11604,x11602)) % 194.45/194.29 [1161]~E(x11611,x11612)+E(f155(x11611,x11613,x11614),f155(x11612,x11613,x11614)) % 194.45/194.29 [1162]~E(x11621,x11622)+E(f155(x11623,x11621,x11624),f155(x11623,x11622,x11624)) % 194.45/194.29 [1163]~E(x11631,x11632)+E(f155(x11633,x11634,x11631),f155(x11633,x11634,x11632)) % 194.45/194.29 [1164]~E(x11641,x11642)+E(f557(x11641,x11643,x11644,x11645,x11646,x11647,x11648,x11649),f557(x11642,x11643,x11644,x11645,x11646,x11647,x11648,x11649)) % 194.45/194.29 [1165]~E(x11651,x11652)+E(f557(x11653,x11651,x11654,x11655,x11656,x11657,x11658,x11659),f557(x11653,x11652,x11654,x11655,x11656,x11657,x11658,x11659)) % 194.45/194.29 [1166]~E(x11661,x11662)+E(f557(x11663,x11664,x11661,x11665,x11666,x11667,x11668,x11669),f557(x11663,x11664,x11662,x11665,x11666,x11667,x11668,x11669)) % 194.45/194.29 [1167]~E(x11671,x11672)+E(f557(x11673,x11674,x11675,x11671,x11676,x11677,x11678,x11679),f557(x11673,x11674,x11675,x11672,x11676,x11677,x11678,x11679)) % 194.45/194.29 [1168]~E(x11681,x11682)+E(f557(x11683,x11684,x11685,x11686,x11681,x11687,x11688,x11689),f557(x11683,x11684,x11685,x11686,x11682,x11687,x11688,x11689)) % 194.45/194.29 [1169]~E(x11691,x11692)+E(f557(x11693,x11694,x11695,x11696,x11697,x11691,x11698,x11699),f557(x11693,x11694,x11695,x11696,x11697,x11692,x11698,x11699)) % 194.45/194.29 [1170]~E(x11701,x11702)+E(f557(x11703,x11704,x11705,x11706,x11707,x11708,x11701,x11709),f557(x11703,x11704,x11705,x11706,x11707,x11708,x11702,x11709)) % 194.45/194.29 [1171]~E(x11711,x11712)+E(f557(x11713,x11714,x11715,x11716,x11717,x11718,x11719,x11711),f557(x11713,x11714,x11715,x11716,x11717,x11718,x11719,x11712)) % 194.45/194.29 [1172]~E(x11721,x11722)+E(f625(x11721,x11723,x11724,x11725,x11726,x11727,x11728,x11729),f625(x11722,x11723,x11724,x11725,x11726,x11727,x11728,x11729)) % 194.45/194.29 [1173]~E(x11731,x11732)+E(f625(x11733,x11731,x11734,x11735,x11736,x11737,x11738,x11739),f625(x11733,x11732,x11734,x11735,x11736,x11737,x11738,x11739)) % 194.45/194.29 [1174]~E(x11741,x11742)+E(f625(x11743,x11744,x11741,x11745,x11746,x11747,x11748,x11749),f625(x11743,x11744,x11742,x11745,x11746,x11747,x11748,x11749)) % 194.45/194.29 [1175]~E(x11751,x11752)+E(f625(x11753,x11754,x11755,x11751,x11756,x11757,x11758,x11759),f625(x11753,x11754,x11755,x11752,x11756,x11757,x11758,x11759)) % 194.45/194.29 [1176]~E(x11761,x11762)+E(f625(x11763,x11764,x11765,x11766,x11761,x11767,x11768,x11769),f625(x11763,x11764,x11765,x11766,x11762,x11767,x11768,x11769)) % 194.45/194.29 [1177]~E(x11771,x11772)+E(f625(x11773,x11774,x11775,x11776,x11777,x11771,x11778,x11779),f625(x11773,x11774,x11775,x11776,x11777,x11772,x11778,x11779)) % 194.45/194.29 [1178]~E(x11781,x11782)+E(f625(x11783,x11784,x11785,x11786,x11787,x11788,x11781,x11789),f625(x11783,x11784,x11785,x11786,x11787,x11788,x11782,x11789)) % 194.45/194.29 [1179]~E(x11791,x11792)+E(f625(x11793,x11794,x11795,x11796,x11797,x11798,x11799,x11791),f625(x11793,x11794,x11795,x11796,x11797,x11798,x11799,x11792)) % 194.45/194.29 [1180]~E(x11801,x11802)+E(f475(x11801,x11803),f475(x11802,x11803)) % 194.45/194.29 [1181]~E(x11811,x11812)+E(f475(x11813,x11811),f475(x11813,x11812)) % 194.45/194.29 [1182]~E(x11821,x11822)+E(f292(x11821,x11823,x11824),f292(x11822,x11823,x11824)) % 194.45/194.29 [1183]~E(x11831,x11832)+E(f292(x11833,x11831,x11834),f292(x11833,x11832,x11834)) % 194.45/194.29 [1184]~E(x11841,x11842)+E(f292(x11843,x11844,x11841),f292(x11843,x11844,x11842)) % 194.45/194.29 [1185]~E(x11851,x11852)+E(f753(x11851,x11853,x11854,x11855),f753(x11852,x11853,x11854,x11855)) % 194.45/194.29 [1186]~E(x11861,x11862)+E(f753(x11863,x11861,x11864,x11865),f753(x11863,x11862,x11864,x11865)) % 194.45/194.29 [1187]~E(x11871,x11872)+E(f753(x11873,x11874,x11871,x11875),f753(x11873,x11874,x11872,x11875)) % 194.45/194.29 [1188]~E(x11881,x11882)+E(f753(x11883,x11884,x11885,x11881),f753(x11883,x11884,x11885,x11882)) % 194.45/194.29 [1189]~E(x11891,x11892)+E(f895(x11891,x11893,x11894,x11895),f895(x11892,x11893,x11894,x11895)) % 194.45/194.29 [1190]~E(x11901,x11902)+E(f895(x11903,x11901,x11904,x11905),f895(x11903,x11902,x11904,x11905)) % 194.45/194.29 [1191]~E(x11911,x11912)+E(f895(x11913,x11914,x11911,x11915),f895(x11913,x11914,x11912,x11915)) % 194.45/194.29 [1192]~E(x11921,x11922)+E(f895(x11923,x11924,x11925,x11921),f895(x11923,x11924,x11925,x11922)) % 194.45/194.29 [1193]~E(x11931,x11932)+E(f706(x11931,x11933,x11934),f706(x11932,x11933,x11934)) % 194.45/194.29 [1194]~E(x11941,x11942)+E(f706(x11943,x11941,x11944),f706(x11943,x11942,x11944)) % 194.45/194.29 [1195]~E(x11951,x11952)+E(f706(x11953,x11954,x11951),f706(x11953,x11954,x11952)) % 194.45/194.29 [1196]~E(x11961,x11962)+E(f688(x11961,x11963,x11964),f688(x11962,x11963,x11964)) % 194.45/194.29 [1197]~E(x11971,x11972)+E(f688(x11973,x11971,x11974),f688(x11973,x11972,x11974)) % 194.45/194.29 [1198]~E(x11981,x11982)+E(f688(x11983,x11984,x11981),f688(x11983,x11984,x11982)) % 194.45/194.29 [1199]~E(x11991,x11992)+E(f131(x11991,x11993,x11994,x11995),f131(x11992,x11993,x11994,x11995)) % 194.45/194.29 [1200]~E(x12001,x12002)+E(f131(x12003,x12001,x12004,x12005),f131(x12003,x12002,x12004,x12005)) % 194.45/194.29 [1201]~E(x12011,x12012)+E(f131(x12013,x12014,x12011,x12015),f131(x12013,x12014,x12012,x12015)) % 194.45/194.29 [1202]~E(x12021,x12022)+E(f131(x12023,x12024,x12025,x12021),f131(x12023,x12024,x12025,x12022)) % 194.45/194.29 [1203]~E(x12031,x12032)+E(f709(x12031,x12033,x12034,x12035,x12036),f709(x12032,x12033,x12034,x12035,x12036)) % 194.45/194.29 [1204]~E(x12041,x12042)+E(f709(x12043,x12041,x12044,x12045,x12046),f709(x12043,x12042,x12044,x12045,x12046)) % 194.45/194.29 [1205]~E(x12051,x12052)+E(f709(x12053,x12054,x12051,x12055,x12056),f709(x12053,x12054,x12052,x12055,x12056)) % 194.45/194.29 [1206]~E(x12061,x12062)+E(f709(x12063,x12064,x12065,x12061,x12066),f709(x12063,x12064,x12065,x12062,x12066)) % 194.45/194.29 [1207]~E(x12071,x12072)+E(f709(x12073,x12074,x12075,x12076,x12071),f709(x12073,x12074,x12075,x12076,x12072)) % 194.45/194.29 [1208]~E(x12081,x12082)+E(f860(x12081),f860(x12082)) % 194.45/194.29 [1209]~E(x12091,x12092)+E(f341(x12091,x12093,x12094,x12095,x12096),f341(x12092,x12093,x12094,x12095,x12096)) % 194.45/194.29 [1210]~E(x12101,x12102)+E(f341(x12103,x12101,x12104,x12105,x12106),f341(x12103,x12102,x12104,x12105,x12106)) % 194.45/194.29 [1211]~E(x12111,x12112)+E(f341(x12113,x12114,x12111,x12115,x12116),f341(x12113,x12114,x12112,x12115,x12116)) % 194.45/194.29 [1212]~E(x12121,x12122)+E(f341(x12123,x12124,x12125,x12121,x12126),f341(x12123,x12124,x12125,x12122,x12126)) % 194.45/194.29 [1213]~E(x12131,x12132)+E(f341(x12133,x12134,x12135,x12136,x12131),f341(x12133,x12134,x12135,x12136,x12132)) % 194.45/194.29 [1214]~E(x12141,x12142)+E(f622(x12141,x12143,x12144,x12145,x12146,x12147),f622(x12142,x12143,x12144,x12145,x12146,x12147)) % 194.45/194.29 [1215]~E(x12151,x12152)+E(f622(x12153,x12151,x12154,x12155,x12156,x12157),f622(x12153,x12152,x12154,x12155,x12156,x12157)) % 194.45/194.29 [1216]~E(x12161,x12162)+E(f622(x12163,x12164,x12161,x12165,x12166,x12167),f622(x12163,x12164,x12162,x12165,x12166,x12167)) % 194.45/194.29 [1217]~E(x12171,x12172)+E(f622(x12173,x12174,x12175,x12171,x12176,x12177),f622(x12173,x12174,x12175,x12172,x12176,x12177)) % 194.45/194.29 [1218]~E(x12181,x12182)+E(f622(x12183,x12184,x12185,x12186,x12181,x12187),f622(x12183,x12184,x12185,x12186,x12182,x12187)) % 194.45/194.29 [1219]~E(x12191,x12192)+E(f622(x12193,x12194,x12195,x12196,x12197,x12191),f622(x12193,x12194,x12195,x12196,x12197,x12192)) % 194.45/194.29 [1220]~E(x12201,x12202)+E(f748(x12201,x12203,x12204),f748(x12202,x12203,x12204)) % 194.45/194.29 [1221]~E(x12211,x12212)+E(f748(x12213,x12211,x12214),f748(x12213,x12212,x12214)) % 194.45/194.29 [1222]~E(x12221,x12222)+E(f748(x12223,x12224,x12221),f748(x12223,x12224,x12222)) % 194.45/194.29 [1223]~E(x12231,x12232)+E(f267(x12231),f267(x12232)) % 194.45/194.29 [1224]~E(x12241,x12242)+E(f877(x12241,x12243),f877(x12242,x12243)) % 194.45/194.29 [1225]~E(x12251,x12252)+E(f877(x12253,x12251),f877(x12253,x12252)) % 194.45/194.29 [1226]~E(x12261,x12262)+E(f639(x12261,x12263,x12264,x12265,x12266),f639(x12262,x12263,x12264,x12265,x12266)) % 194.45/194.29 [1227]~E(x12271,x12272)+E(f639(x12273,x12271,x12274,x12275,x12276),f639(x12273,x12272,x12274,x12275,x12276)) % 194.45/194.29 [1228]~E(x12281,x12282)+E(f639(x12283,x12284,x12281,x12285,x12286),f639(x12283,x12284,x12282,x12285,x12286)) % 194.45/194.29 [1229]~E(x12291,x12292)+E(f639(x12293,x12294,x12295,x12291,x12296),f639(x12293,x12294,x12295,x12292,x12296)) % 194.45/194.29 [1230]~E(x12301,x12302)+E(f639(x12303,x12304,x12305,x12306,x12301),f639(x12303,x12304,x12305,x12306,x12302)) % 194.45/194.29 [1231]~E(x12311,x12312)+E(f118(x12311,x12313,x12314),f118(x12312,x12313,x12314)) % 194.45/194.29 [1232]~E(x12321,x12322)+E(f118(x12323,x12321,x12324),f118(x12323,x12322,x12324)) % 194.45/194.29 [1233]~E(x12331,x12332)+E(f118(x12333,x12334,x12331),f118(x12333,x12334,x12332)) % 194.45/194.29 [1234]~E(x12341,x12342)+E(f882(x12341,x12343),f882(x12342,x12343)) % 194.45/194.29 [1235]~E(x12351,x12352)+E(f882(x12353,x12351),f882(x12353,x12352)) % 194.45/194.29 [1236]~E(x12361,x12362)+E(f541(x12361,x12363,x12364),f541(x12362,x12363,x12364)) % 194.45/194.29 [1237]~E(x12371,x12372)+E(f541(x12373,x12371,x12374),f541(x12373,x12372,x12374)) % 194.45/194.29 [1238]~E(x12381,x12382)+E(f541(x12383,x12384,x12381),f541(x12383,x12384,x12382)) % 194.45/194.29 [1239]~E(x12391,x12392)+E(f736(x12391,x12393),f736(x12392,x12393)) % 194.45/194.29 [1240]~E(x12401,x12402)+E(f736(x12403,x12401),f736(x12403,x12402)) % 194.45/194.29 [1241]~E(x12411,x12412)+E(f906(x12411,x12413),f906(x12412,x12413)) % 194.45/194.29 [1242]~E(x12421,x12422)+E(f906(x12423,x12421),f906(x12423,x12422)) % 194.45/194.29 [1243]~E(x12431,x12432)+E(f741(x12431,x12433,x12434),f741(x12432,x12433,x12434)) % 194.45/194.29 [1244]~E(x12441,x12442)+E(f741(x12443,x12441,x12444),f741(x12443,x12442,x12444)) % 194.45/194.29 [1245]~E(x12451,x12452)+E(f741(x12453,x12454,x12451),f741(x12453,x12454,x12452)) % 194.45/194.29 [1246]~E(x12461,x12462)+E(f668(x12461,x12463,x12464,x12465,x12466),f668(x12462,x12463,x12464,x12465,x12466)) % 194.45/194.29 [1247]~E(x12471,x12472)+E(f668(x12473,x12471,x12474,x12475,x12476),f668(x12473,x12472,x12474,x12475,x12476)) % 194.45/194.29 [1248]~E(x12481,x12482)+E(f668(x12483,x12484,x12481,x12485,x12486),f668(x12483,x12484,x12482,x12485,x12486)) % 194.45/194.29 [1249]~E(x12491,x12492)+E(f668(x12493,x12494,x12495,x12491,x12496),f668(x12493,x12494,x12495,x12492,x12496)) % 194.45/194.29 [1250]~E(x12501,x12502)+E(f668(x12503,x12504,x12505,x12506,x12501),f668(x12503,x12504,x12505,x12506,x12502)) % 194.45/194.29 [1251]~E(x12511,x12512)+E(f801(x12511,x12513,x12514,x12515),f801(x12512,x12513,x12514,x12515)) % 194.45/194.29 [1252]~E(x12521,x12522)+E(f801(x12523,x12521,x12524,x12525),f801(x12523,x12522,x12524,x12525)) % 194.45/194.29 [1253]~E(x12531,x12532)+E(f801(x12533,x12534,x12531,x12535),f801(x12533,x12534,x12532,x12535)) % 194.45/194.29 [1254]~E(x12541,x12542)+E(f801(x12543,x12544,x12545,x12541),f801(x12543,x12544,x12545,x12542)) % 194.45/194.29 [1255]~E(x12551,x12552)+E(f703(x12551,x12553,x12554),f703(x12552,x12553,x12554)) % 194.45/194.29 [1256]~E(x12561,x12562)+E(f703(x12563,x12561,x12564),f703(x12563,x12562,x12564)) % 194.45/194.29 [1257]~E(x12571,x12572)+E(f703(x12573,x12574,x12571),f703(x12573,x12574,x12572)) % 194.45/194.29 [1258]~E(x12581,x12582)+E(f638(x12581,x12583,x12584,x12585),f638(x12582,x12583,x12584,x12585)) % 194.45/194.29 [1259]~E(x12591,x12592)+E(f638(x12593,x12591,x12594,x12595),f638(x12593,x12592,x12594,x12595)) % 194.45/194.29 [1260]~E(x12601,x12602)+E(f638(x12603,x12604,x12601,x12605),f638(x12603,x12604,x12602,x12605)) % 194.45/194.29 [1261]~E(x12611,x12612)+E(f638(x12613,x12614,x12615,x12611),f638(x12613,x12614,x12615,x12612)) % 194.45/194.29 [1262]~E(x12621,x12622)+E(f328(x12621,x12623,x12624,x12625),f328(x12622,x12623,x12624,x12625)) % 194.45/194.29 [1263]~E(x12631,x12632)+E(f328(x12633,x12631,x12634,x12635),f328(x12633,x12632,x12634,x12635)) % 194.45/194.29 [1264]~E(x12641,x12642)+E(f328(x12643,x12644,x12641,x12645),f328(x12643,x12644,x12642,x12645)) % 194.45/194.29 [1265]~E(x12651,x12652)+E(f328(x12653,x12654,x12655,x12651),f328(x12653,x12654,x12655,x12652)) % 194.45/194.29 [1266]~E(x12661,x12662)+E(f441(x12661,x12663,x12664),f441(x12662,x12663,x12664)) % 194.45/194.29 [1267]~E(x12671,x12672)+E(f441(x12673,x12671,x12674),f441(x12673,x12672,x12674)) % 194.45/194.29 [1268]~E(x12681,x12682)+E(f441(x12683,x12684,x12681),f441(x12683,x12684,x12682)) % 194.45/194.29 [1269]~E(x12691,x12692)+E(f396(x12691,x12693,x12694),f396(x12692,x12693,x12694)) % 194.45/194.29 [1270]~E(x12701,x12702)+E(f396(x12703,x12701,x12704),f396(x12703,x12702,x12704)) % 194.45/194.29 [1271]~E(x12711,x12712)+E(f396(x12713,x12714,x12711),f396(x12713,x12714,x12712)) % 194.45/194.29 [1272]~E(x12721,x12722)+E(f465(x12721,x12723),f465(x12722,x12723)) % 194.45/194.29 [1273]~E(x12731,x12732)+E(f465(x12733,x12731),f465(x12733,x12732)) % 194.45/194.29 [1274]~E(x12741,x12742)+E(f490(x12741,x12743),f490(x12742,x12743)) % 194.45/194.29 [1275]~E(x12751,x12752)+E(f490(x12753,x12751),f490(x12753,x12752)) % 194.45/194.29 [1276]~E(x12761,x12762)+E(f861(x12761,x12763),f861(x12762,x12763)) % 194.45/194.29 [1277]~E(x12771,x12772)+E(f861(x12773,x12771),f861(x12773,x12772)) % 194.45/194.29 [1278]~E(x12781,x12782)+E(f505(x12781,x12783,x12784),f505(x12782,x12783,x12784)) % 194.45/194.29 [1279]~E(x12791,x12792)+E(f505(x12793,x12791,x12794),f505(x12793,x12792,x12794)) % 194.45/194.29 [1280]~E(x12801,x12802)+E(f505(x12803,x12804,x12801),f505(x12803,x12804,x12802)) % 194.45/194.29 [1281]~E(x12811,x12812)+E(f522(x12811,x12813,x12814),f522(x12812,x12813,x12814)) % 194.45/194.29 [1282]~E(x12821,x12822)+E(f522(x12823,x12821,x12824),f522(x12823,x12822,x12824)) % 194.45/194.29 [1283]~E(x12831,x12832)+E(f522(x12833,x12834,x12831),f522(x12833,x12834,x12832)) % 194.45/194.29 [1284]~E(x12841,x12842)+E(f176(x12841,x12843,x12844),f176(x12842,x12843,x12844)) % 194.45/194.29 [1285]~E(x12851,x12852)+E(f176(x12853,x12851,x12854),f176(x12853,x12852,x12854)) % 194.45/194.29 [1286]~E(x12861,x12862)+E(f176(x12863,x12864,x12861),f176(x12863,x12864,x12862)) % 194.45/194.29 [1287]~E(x12871,x12872)+E(f468(x12871,x12873,x12874),f468(x12872,x12873,x12874)) % 194.45/194.29 [1288]~E(x12881,x12882)+E(f468(x12883,x12881,x12884),f468(x12883,x12882,x12884)) % 194.45/194.29 [1289]~E(x12891,x12892)+E(f468(x12893,x12894,x12891),f468(x12893,x12894,x12892)) % 194.45/194.29 [1290]~E(x12901,x12902)+E(f696(x12901,x12903),f696(x12902,x12903)) % 194.45/194.29 [1291]~E(x12911,x12912)+E(f696(x12913,x12911),f696(x12913,x12912)) % 194.45/194.29 [1292]~E(x12921,x12922)+E(f726(x12921,x12923),f726(x12922,x12923)) % 194.45/194.29 [1293]~E(x12931,x12932)+E(f726(x12933,x12931),f726(x12933,x12932)) % 194.45/194.29 [1294]~E(x12941,x12942)+E(f621(x12941,x12943,x12944,x12945,x12946,x12947),f621(x12942,x12943,x12944,x12945,x12946,x12947)) % 194.45/194.29 [1295]~E(x12951,x12952)+E(f621(x12953,x12951,x12954,x12955,x12956,x12957),f621(x12953,x12952,x12954,x12955,x12956,x12957)) % 194.45/194.29 [1296]~E(x12961,x12962)+E(f621(x12963,x12964,x12961,x12965,x12966,x12967),f621(x12963,x12964,x12962,x12965,x12966,x12967)) % 194.45/194.29 [1297]~E(x12971,x12972)+E(f621(x12973,x12974,x12975,x12971,x12976,x12977),f621(x12973,x12974,x12975,x12972,x12976,x12977)) % 194.45/194.29 [1298]~E(x12981,x12982)+E(f621(x12983,x12984,x12985,x12986,x12981,x12987),f621(x12983,x12984,x12985,x12986,x12982,x12987)) % 194.45/194.29 [1299]~E(x12991,x12992)+E(f621(x12993,x12994,x12995,x12996,x12997,x12991),f621(x12993,x12994,x12995,x12996,x12997,x12992)) % 194.45/194.29 [1300]~E(x13001,x13002)+E(f782(x13001,x13003,x13004),f782(x13002,x13003,x13004)) % 194.45/194.29 [1301]~E(x13011,x13012)+E(f782(x13013,x13011,x13014),f782(x13013,x13012,x13014)) % 194.45/194.29 [1302]~E(x13021,x13022)+E(f782(x13023,x13024,x13021),f782(x13023,x13024,x13022)) % 194.45/194.29 [1303]~E(x13031,x13032)+E(f343(x13031,x13033,x13034,x13035,x13036),f343(x13032,x13033,x13034,x13035,x13036)) % 194.45/194.29 [1304]~E(x13041,x13042)+E(f343(x13043,x13041,x13044,x13045,x13046),f343(x13043,x13042,x13044,x13045,x13046)) % 194.45/194.29 [1305]~E(x13051,x13052)+E(f343(x13053,x13054,x13051,x13055,x13056),f343(x13053,x13054,x13052,x13055,x13056)) % 194.45/194.29 [1306]~E(x13061,x13062)+E(f343(x13063,x13064,x13065,x13061,x13066),f343(x13063,x13064,x13065,x13062,x13066)) % 194.45/194.29 [1307]~E(x13071,x13072)+E(f343(x13073,x13074,x13075,x13076,x13071),f343(x13073,x13074,x13075,x13076,x13072)) % 194.45/194.29 [1308]~E(x13081,x13082)+E(f744(x13081,x13083,x13084,x13085),f744(x13082,x13083,x13084,x13085)) % 194.45/194.29 [1309]~E(x13091,x13092)+E(f744(x13093,x13091,x13094,x13095),f744(x13093,x13092,x13094,x13095)) % 194.45/194.29 [1310]~E(x13101,x13102)+E(f744(x13103,x13104,x13101,x13105),f744(x13103,x13104,x13102,x13105)) % 194.45/194.29 [1311]~E(x13111,x13112)+E(f744(x13113,x13114,x13115,x13111),f744(x13113,x13114,x13115,x13112)) % 194.45/194.29 [1312]~E(x13121,x13122)+E(f623(x13121,x13123,x13124,x13125,x13126,x13127),f623(x13122,x13123,x13124,x13125,x13126,x13127)) % 194.45/194.29 [1313]~E(x13131,x13132)+E(f623(x13133,x13131,x13134,x13135,x13136,x13137),f623(x13133,x13132,x13134,x13135,x13136,x13137)) % 194.45/194.29 [1314]~E(x13141,x13142)+E(f623(x13143,x13144,x13141,x13145,x13146,x13147),f623(x13143,x13144,x13142,x13145,x13146,x13147)) % 194.45/194.29 [1315]~E(x13151,x13152)+E(f623(x13153,x13154,x13155,x13151,x13156,x13157),f623(x13153,x13154,x13155,x13152,x13156,x13157)) % 194.45/194.29 [1316]~E(x13161,x13162)+E(f623(x13163,x13164,x13165,x13166,x13161,x13167),f623(x13163,x13164,x13165,x13166,x13162,x13167)) % 194.45/194.29 [1317]~E(x13171,x13172)+E(f623(x13173,x13174,x13175,x13176,x13177,x13171),f623(x13173,x13174,x13175,x13176,x13177,x13172)) % 194.45/194.29 [1318]~E(x13181,x13182)+E(f374(x13181,x13183),f374(x13182,x13183)) % 194.45/194.29 [1319]~E(x13191,x13192)+E(f374(x13193,x13191),f374(x13193,x13192)) % 194.45/194.29 [1320]~E(x13201,x13202)+E(f812(x13201,x13203),f812(x13202,x13203)) % 194.45/194.29 [1321]~E(x13211,x13212)+E(f812(x13213,x13211),f812(x13213,x13212)) % 194.45/194.29 [1322]~E(x13221,x13222)+E(f163(x13221,x13223,x13224,x13225),f163(x13222,x13223,x13224,x13225)) % 194.45/194.29 [1323]~E(x13231,x13232)+E(f163(x13233,x13231,x13234,x13235),f163(x13233,x13232,x13234,x13235)) % 194.45/194.29 [1324]~E(x13241,x13242)+E(f163(x13243,x13244,x13241,x13245),f163(x13243,x13244,x13242,x13245)) % 194.45/194.29 [1325]~E(x13251,x13252)+E(f163(x13253,x13254,x13255,x13251),f163(x13253,x13254,x13255,x13252)) % 194.45/194.29 [1326]~E(x13261,x13262)+E(f420(x13261,x13263,x13264,x13265,x13266),f420(x13262,x13263,x13264,x13265,x13266)) % 194.45/194.29 [1327]~E(x13271,x13272)+E(f420(x13273,x13271,x13274,x13275,x13276),f420(x13273,x13272,x13274,x13275,x13276)) % 194.45/194.29 [1328]~E(x13281,x13282)+E(f420(x13283,x13284,x13281,x13285,x13286),f420(x13283,x13284,x13282,x13285,x13286)) % 194.45/194.29 [1329]~E(x13291,x13292)+E(f420(x13293,x13294,x13295,x13291,x13296),f420(x13293,x13294,x13295,x13292,x13296)) % 194.45/194.29 [1330]~E(x13301,x13302)+E(f420(x13303,x13304,x13305,x13306,x13301),f420(x13303,x13304,x13305,x13306,x13302)) % 194.45/194.29 [1331]~E(x13311,x13312)+E(f253(x13311,x13313,x13314,x13315,x13316),f253(x13312,x13313,x13314,x13315,x13316)) % 194.45/194.29 [1332]~E(x13321,x13322)+E(f253(x13323,x13321,x13324,x13325,x13326),f253(x13323,x13322,x13324,x13325,x13326)) % 194.45/194.29 [1333]~E(x13331,x13332)+E(f253(x13333,x13334,x13331,x13335,x13336),f253(x13333,x13334,x13332,x13335,x13336)) % 194.45/194.29 [1334]~E(x13341,x13342)+E(f253(x13343,x13344,x13345,x13341,x13346),f253(x13343,x13344,x13345,x13342,x13346)) % 194.45/194.29 [1335]~E(x13351,x13352)+E(f253(x13353,x13354,x13355,x13356,x13351),f253(x13353,x13354,x13355,x13356,x13352)) % 194.45/194.29 [1336]~E(x13361,x13362)+E(f247(x13361,x13363,x13364),f247(x13362,x13363,x13364)) % 194.45/194.29 [1337]~E(x13371,x13372)+E(f247(x13373,x13371,x13374),f247(x13373,x13372,x13374)) % 194.45/194.29 [1338]~E(x13381,x13382)+E(f247(x13383,x13384,x13381),f247(x13383,x13384,x13382)) % 194.45/194.29 [1339]~E(x13391,x13392)+E(f615(x13391,x13393,x13394),f615(x13392,x13393,x13394)) % 194.45/194.29 [1340]~E(x13401,x13402)+E(f615(x13403,x13401,x13404),f615(x13403,x13402,x13404)) % 194.45/194.29 [1341]~E(x13411,x13412)+E(f615(x13413,x13414,x13411),f615(x13413,x13414,x13412)) % 194.45/194.29 [1342]~E(x13421,x13422)+E(f743(x13421,x13423,x13424),f743(x13422,x13423,x13424)) % 194.45/194.29 [1343]~E(x13431,x13432)+E(f743(x13433,x13431,x13434),f743(x13433,x13432,x13434)) % 194.45/194.29 [1344]~E(x13441,x13442)+E(f743(x13443,x13444,x13441),f743(x13443,x13444,x13442)) % 194.45/194.29 [1345]~E(x13451,x13452)+E(f506(x13451,x13453,x13454,x13455),f506(x13452,x13453,x13454,x13455)) % 194.45/194.29 [1346]~E(x13461,x13462)+E(f506(x13463,x13461,x13464,x13465),f506(x13463,x13462,x13464,x13465)) % 194.45/194.29 [1347]~E(x13471,x13472)+E(f506(x13473,x13474,x13471,x13475),f506(x13473,x13474,x13472,x13475)) % 194.45/194.29 [1348]~E(x13481,x13482)+E(f506(x13483,x13484,x13485,x13481),f506(x13483,x13484,x13485,x13482)) % 194.45/194.29 [1349]~E(x13491,x13492)+E(f466(x13491,x13493),f466(x13492,x13493)) % 194.45/194.29 [1350]~E(x13501,x13502)+E(f466(x13503,x13501),f466(x13503,x13502)) % 194.45/194.29 [1351]~E(x13511,x13512)+E(f613(x13511,x13513),f613(x13512,x13513)) % 194.45/194.29 [1352]~E(x13521,x13522)+E(f613(x13523,x13521),f613(x13523,x13522)) % 194.45/194.29 [1353]~E(x13531,x13532)+E(f658(x13531,x13533,x13534,x13535,x13536),f658(x13532,x13533,x13534,x13535,x13536)) % 194.45/194.29 [1354]~E(x13541,x13542)+E(f658(x13543,x13541,x13544,x13545,x13546),f658(x13543,x13542,x13544,x13545,x13546)) % 194.45/194.29 [1355]~E(x13551,x13552)+E(f658(x13553,x13554,x13551,x13555,x13556),f658(x13553,x13554,x13552,x13555,x13556)) % 194.45/194.29 [1356]~E(x13561,x13562)+E(f658(x13563,x13564,x13565,x13561,x13566),f658(x13563,x13564,x13565,x13562,x13566)) % 194.45/194.29 [1357]~E(x13571,x13572)+E(f658(x13573,x13574,x13575,x13576,x13571),f658(x13573,x13574,x13575,x13576,x13572)) % 194.45/194.29 [1358]~E(x13581,x13582)+E(f857(x13581,x13583,x13584,x13585,x13586),f857(x13582,x13583,x13584,x13585,x13586)) % 194.45/194.29 [1359]~E(x13591,x13592)+E(f857(x13593,x13591,x13594,x13595,x13596),f857(x13593,x13592,x13594,x13595,x13596)) % 194.45/194.29 [1360]~E(x13601,x13602)+E(f857(x13603,x13604,x13601,x13605,x13606),f857(x13603,x13604,x13602,x13605,x13606)) % 194.45/194.29 [1361]~E(x13611,x13612)+E(f857(x13613,x13614,x13615,x13611,x13616),f857(x13613,x13614,x13615,x13612,x13616)) % 194.45/194.29 [1362]~E(x13621,x13622)+E(f857(x13623,x13624,x13625,x13626,x13621),f857(x13623,x13624,x13625,x13626,x13622)) % 194.45/194.29 [1363]~E(x13631,x13632)+E(f488(x13631,x13633,x13634,x13635),f488(x13632,x13633,x13634,x13635)) % 194.45/194.29 [1364]~E(x13641,x13642)+E(f488(x13643,x13641,x13644,x13645),f488(x13643,x13642,x13644,x13645)) % 194.45/194.29 [1365]~E(x13651,x13652)+E(f488(x13653,x13654,x13651,x13655),f488(x13653,x13654,x13652,x13655)) % 194.45/194.29 [1366]~E(x13661,x13662)+E(f488(x13663,x13664,x13665,x13661),f488(x13663,x13664,x13665,x13662)) % 194.45/194.29 [1367]~E(x13671,x13672)+E(f53(x13671,x13673),f53(x13672,x13673)) % 194.45/194.29 [1368]~E(x13681,x13682)+E(f53(x13683,x13681),f53(x13683,x13682)) % 194.45/194.29 [1369]~E(x13691,x13692)+E(f485(x13691,x13693,x13694,x13695),f485(x13692,x13693,x13694,x13695)) % 194.45/194.29 [1370]~E(x13701,x13702)+E(f485(x13703,x13701,x13704,x13705),f485(x13703,x13702,x13704,x13705)) % 194.45/194.29 [1371]~E(x13711,x13712)+E(f485(x13713,x13714,x13711,x13715),f485(x13713,x13714,x13712,x13715)) % 194.45/194.29 [1372]~E(x13721,x13722)+E(f485(x13723,x13724,x13725,x13721),f485(x13723,x13724,x13725,x13722)) % 194.45/194.29 [1373]~E(x13731,x13732)+E(f486(x13731,x13733,x13734,x13735),f486(x13732,x13733,x13734,x13735)) % 194.45/194.29 [1374]~E(x13741,x13742)+E(f486(x13743,x13741,x13744,x13745),f486(x13743,x13742,x13744,x13745)) % 194.45/194.29 [1375]~E(x13751,x13752)+E(f486(x13753,x13754,x13751,x13755),f486(x13753,x13754,x13752,x13755)) % 194.45/194.29 [1376]~E(x13761,x13762)+E(f486(x13763,x13764,x13765,x13761),f486(x13763,x13764,x13765,x13762)) % 194.45/194.29 [1377]~E(x13771,x13772)+E(f67(x13771,x13773,x13774),f67(x13772,x13773,x13774)) % 194.45/194.29 [1378]~E(x13781,x13782)+E(f67(x13783,x13781,x13784),f67(x13783,x13782,x13784)) % 194.45/194.29 [1379]~E(x13791,x13792)+E(f67(x13793,x13794,x13791),f67(x13793,x13794,x13792)) % 194.45/194.29 [1380]~E(x13801,x13802)+E(f387(x13801,x13803),f387(x13802,x13803)) % 194.45/194.29 [1381]~E(x13811,x13812)+E(f387(x13813,x13811),f387(x13813,x13812)) % 194.45/194.29 [1382]~E(x13821,x13822)+E(f512(x13821,x13823,x13824,x13825,x13826,x13827,x13828,x13829,x138210),f512(x13822,x13823,x13824,x13825,x13826,x13827,x13828,x13829,x138210)) % 194.45/194.29 [1383]~E(x13831,x13832)+E(f512(x13833,x13831,x13834,x13835,x13836,x13837,x13838,x13839,x138310),f512(x13833,x13832,x13834,x13835,x13836,x13837,x13838,x13839,x138310)) % 194.45/194.29 [1384]~E(x13841,x13842)+E(f512(x13843,x13844,x13841,x13845,x13846,x13847,x13848,x13849,x138410),f512(x13843,x13844,x13842,x13845,x13846,x13847,x13848,x13849,x138410)) % 194.45/194.29 [1385]~E(x13851,x13852)+E(f512(x13853,x13854,x13855,x13851,x13856,x13857,x13858,x13859,x138510),f512(x13853,x13854,x13855,x13852,x13856,x13857,x13858,x13859,x138510)) % 194.45/194.29 [1386]~E(x13861,x13862)+E(f512(x13863,x13864,x13865,x13866,x13861,x13867,x13868,x13869,x138610),f512(x13863,x13864,x13865,x13866,x13862,x13867,x13868,x13869,x138610)) % 194.45/194.29 [1387]~E(x13871,x13872)+E(f512(x13873,x13874,x13875,x13876,x13877,x13871,x13878,x13879,x138710),f512(x13873,x13874,x13875,x13876,x13877,x13872,x13878,x13879,x138710)) % 194.45/194.29 [1388]~E(x13881,x13882)+E(f512(x13883,x13884,x13885,x13886,x13887,x13888,x13881,x13889,x138810),f512(x13883,x13884,x13885,x13886,x13887,x13888,x13882,x13889,x138810)) % 194.45/194.29 [1389]~E(x13891,x13892)+E(f512(x13893,x13894,x13895,x13896,x13897,x13898,x13899,x13891,x138910),f512(x13893,x13894,x13895,x13896,x13897,x13898,x13899,x13892,x138910)) % 194.45/194.29 [1390]~E(x13901,x13902)+E(f512(x13903,x13904,x13905,x13906,x13907,x13908,x13909,x139010,x13901),f512(x13903,x13904,x13905,x13906,x13907,x13908,x13909,x139010,x13902)) % 194.45/194.29 [1391]~E(x13911,x13912)+E(f530(x13911),f530(x13912)) % 194.45/194.29 [1392]~E(x13921,x13922)+E(f248(x13921,x13923),f248(x13922,x13923)) % 194.45/194.29 [1393]~E(x13931,x13932)+E(f248(x13933,x13931),f248(x13933,x13932)) % 194.45/194.29 [1394]~E(x13941,x13942)+E(f223(x13941,x13943,x13944),f223(x13942,x13943,x13944)) % 194.45/194.29 [1395]~E(x13951,x13952)+E(f223(x13953,x13951,x13954),f223(x13953,x13952,x13954)) % 194.45/194.29 [1396]~E(x13961,x13962)+E(f223(x13963,x13964,x13961),f223(x13963,x13964,x13962)) % 194.45/194.29 [1397]~E(x13971,x13972)+E(f276(x13971),f276(x13972)) % 194.45/194.29 [1398]~E(x13981,x13982)+E(f372(x13981,x13983,x13984),f372(x13982,x13983,x13984)) % 194.45/194.29 [1399]~E(x13991,x13992)+E(f372(x13993,x13991,x13994),f372(x13993,x13992,x13994)) % 194.45/194.29 [1400]~E(x14001,x14002)+E(f372(x14003,x14004,x14001),f372(x14003,x14004,x14002)) % 194.45/194.29 [1401]~E(x14011,x14012)+E(f695(x14011,x14013,x14014,x14015),f695(x14012,x14013,x14014,x14015)) % 194.45/194.29 [1402]~E(x14021,x14022)+E(f695(x14023,x14021,x14024,x14025),f695(x14023,x14022,x14024,x14025)) % 194.45/194.29 [1403]~E(x14031,x14032)+E(f695(x14033,x14034,x14031,x14035),f695(x14033,x14034,x14032,x14035)) % 194.45/194.29 [1404]~E(x14041,x14042)+E(f695(x14043,x14044,x14045,x14041),f695(x14043,x14044,x14045,x14042)) % 194.45/194.29 [1405]~E(x14051,x14052)+E(f645(x14051,x14053,x14054),f645(x14052,x14053,x14054)) % 194.45/194.29 [1406]~E(x14061,x14062)+E(f645(x14063,x14061,x14064),f645(x14063,x14062,x14064)) % 194.45/194.29 [1407]~E(x14071,x14072)+E(f645(x14073,x14074,x14071),f645(x14073,x14074,x14072)) % 194.45/194.29 [1408]~E(x14081,x14082)+E(f700(x14081,x14083,x14084,x14085),f700(x14082,x14083,x14084,x14085)) % 194.45/194.29 [1409]~E(x14091,x14092)+E(f700(x14093,x14091,x14094,x14095),f700(x14093,x14092,x14094,x14095)) % 194.45/194.29 [1410]~E(x14101,x14102)+E(f700(x14103,x14104,x14101,x14105),f700(x14103,x14104,x14102,x14105)) % 194.45/194.29 [1411]~E(x14111,x14112)+E(f700(x14113,x14114,x14115,x14111),f700(x14113,x14114,x14115,x14112)) % 194.45/194.29 [1412]~E(x14121,x14122)+E(f758(x14121,x14123,x14124),f758(x14122,x14123,x14124)) % 194.45/194.29 [1413]~E(x14131,x14132)+E(f758(x14133,x14131,x14134),f758(x14133,x14132,x14134)) % 194.45/194.29 [1414]~E(x14141,x14142)+E(f758(x14143,x14144,x14141),f758(x14143,x14144,x14142)) % 194.45/194.29 [1415]~E(x14151,x14152)+E(f640(x14151,x14153,x14154),f640(x14152,x14153,x14154)) % 194.45/194.29 [1416]~E(x14161,x14162)+E(f640(x14163,x14161,x14164),f640(x14163,x14162,x14164)) % 194.45/194.29 [1417]~E(x14171,x14172)+E(f640(x14173,x14174,x14171),f640(x14173,x14174,x14172)) % 194.45/194.29 [1418]~E(x14181,x14182)+E(f729(x14181,x14183,x14184,x14185),f729(x14182,x14183,x14184,x14185)) % 194.45/194.29 [1419]~E(x14191,x14192)+E(f729(x14193,x14191,x14194,x14195),f729(x14193,x14192,x14194,x14195)) % 194.45/194.29 [1420]~E(x14201,x14202)+E(f729(x14203,x14204,x14201,x14205),f729(x14203,x14204,x14202,x14205)) % 194.45/194.29 [1421]~E(x14211,x14212)+E(f729(x14213,x14214,x14215,x14211),f729(x14213,x14214,x14215,x14212)) % 194.45/194.29 [1422]~E(x14221,x14222)+E(f869(x14221,x14223,x14224),f869(x14222,x14223,x14224)) % 194.45/194.29 [1423]~E(x14231,x14232)+E(f869(x14233,x14231,x14234),f869(x14233,x14232,x14234)) % 194.45/194.29 [1424]~E(x14241,x14242)+E(f869(x14243,x14244,x14241),f869(x14243,x14244,x14242)) % 194.45/194.29 [1425]~E(x14251,x14252)+E(f900(x14251,x14253,x14254),f900(x14252,x14253,x14254)) % 194.45/194.29 [1426]~E(x14261,x14262)+E(f900(x14263,x14261,x14264),f900(x14263,x14262,x14264)) % 194.45/194.29 [1427]~E(x14271,x14272)+E(f900(x14273,x14274,x14271),f900(x14273,x14274,x14272)) % 194.45/194.29 [1428]~E(x14281,x14282)+E(f261(x14281,x14283,x14284,x14285,x14286),f261(x14282,x14283,x14284,x14285,x14286)) % 194.45/194.29 [1429]~E(x14291,x14292)+E(f261(x14293,x14291,x14294,x14295,x14296),f261(x14293,x14292,x14294,x14295,x14296)) % 194.45/194.29 [1430]~E(x14301,x14302)+E(f261(x14303,x14304,x14301,x14305,x14306),f261(x14303,x14304,x14302,x14305,x14306)) % 194.45/194.29 [1431]~E(x14311,x14312)+E(f261(x14313,x14314,x14315,x14311,x14316),f261(x14313,x14314,x14315,x14312,x14316)) % 194.45/194.29 [1432]~E(x14321,x14322)+E(f261(x14323,x14324,x14325,x14326,x14321),f261(x14323,x14324,x14325,x14326,x14322)) % 194.45/194.29 [1433]~E(x14331,x14332)+E(f896(x14331,x14333,x14334),f896(x14332,x14333,x14334)) % 194.45/194.29 [1434]~E(x14341,x14342)+E(f896(x14343,x14341,x14344),f896(x14343,x14342,x14344)) % 194.45/194.29 [1435]~E(x14351,x14352)+E(f896(x14353,x14354,x14351),f896(x14353,x14354,x14352)) % 194.45/194.29 [1436]~E(x14361,x14362)+E(f453(x14361,x14363,x14364),f453(x14362,x14363,x14364)) % 194.45/194.29 [1437]~E(x14371,x14372)+E(f453(x14373,x14371,x14374),f453(x14373,x14372,x14374)) % 194.45/194.29 [1438]~E(x14381,x14382)+E(f453(x14383,x14384,x14381),f453(x14383,x14384,x14382)) % 194.45/194.29 [1439]~E(x14391,x14392)+E(f353(x14391,x14393,x14394,x14395,x14396),f353(x14392,x14393,x14394,x14395,x14396)) % 194.45/194.29 [1440]~E(x14401,x14402)+E(f353(x14403,x14401,x14404,x14405,x14406),f353(x14403,x14402,x14404,x14405,x14406)) % 194.45/194.29 [1441]~E(x14411,x14412)+E(f353(x14413,x14414,x14411,x14415,x14416),f353(x14413,x14414,x14412,x14415,x14416)) % 194.45/194.29 [1442]~E(x14421,x14422)+E(f353(x14423,x14424,x14425,x14421,x14426),f353(x14423,x14424,x14425,x14422,x14426)) % 194.45/194.29 [1443]~E(x14431,x14432)+E(f353(x14433,x14434,x14435,x14436,x14431),f353(x14433,x14434,x14435,x14436,x14432)) % 194.45/194.29 [1444]~E(x14441,x14442)+E(f438(x14441,x14443,x14444),f438(x14442,x14443,x14444)) % 194.45/194.29 [1445]~E(x14451,x14452)+E(f438(x14453,x14451,x14454),f438(x14453,x14452,x14454)) % 194.45/194.29 [1446]~E(x14461,x14462)+E(f438(x14463,x14464,x14461),f438(x14463,x14464,x14462)) % 194.45/194.29 [1447]~E(x14471,x14472)+E(f546(x14471,x14473,x14474,x14475),f546(x14472,x14473,x14474,x14475)) % 194.45/194.29 [1448]~E(x14481,x14482)+E(f546(x14483,x14481,x14484,x14485),f546(x14483,x14482,x14484,x14485)) % 194.45/194.29 [1449]~E(x14491,x14492)+E(f546(x14493,x14494,x14491,x14495),f546(x14493,x14494,x14492,x14495)) % 194.45/194.29 [1450]~E(x14501,x14502)+E(f546(x14503,x14504,x14505,x14501),f546(x14503,x14504,x14505,x14502)) % 194.45/194.29 [1451]~E(x14511,x14512)+E(f855(x14511,x14513,x14514,x14515,x14516),f855(x14512,x14513,x14514,x14515,x14516)) % 194.45/194.29 [1452]~E(x14521,x14522)+E(f855(x14523,x14521,x14524,x14525,x14526),f855(x14523,x14522,x14524,x14525,x14526)) % 194.45/194.29 [1453]~E(x14531,x14532)+E(f855(x14533,x14534,x14531,x14535,x14536),f855(x14533,x14534,x14532,x14535,x14536)) % 194.45/194.29 [1454]~E(x14541,x14542)+E(f855(x14543,x14544,x14545,x14541,x14546),f855(x14543,x14544,x14545,x14542,x14546)) % 194.45/194.29 [1455]~E(x14551,x14552)+E(f855(x14553,x14554,x14555,x14556,x14551),f855(x14553,x14554,x14555,x14556,x14552)) % 194.45/194.29 [1456]~E(x14561,x14562)+E(f548(x14561,x14563,x14564,x14565,x14566),f548(x14562,x14563,x14564,x14565,x14566)) % 194.45/194.29 [1457]~E(x14571,x14572)+E(f548(x14573,x14571,x14574,x14575,x14576),f548(x14573,x14572,x14574,x14575,x14576)) % 194.45/194.29 [1458]~E(x14581,x14582)+E(f548(x14583,x14584,x14581,x14585,x14586),f548(x14583,x14584,x14582,x14585,x14586)) % 194.45/194.29 [1459]~E(x14591,x14592)+E(f548(x14593,x14594,x14595,x14591,x14596),f548(x14593,x14594,x14595,x14592,x14596)) % 194.45/194.29 [1460]~E(x14601,x14602)+E(f548(x14603,x14604,x14605,x14606,x14601),f548(x14603,x14604,x14605,x14606,x14602)) % 194.45/194.29 [1461]~E(x14611,x14612)+E(f573(x14611,x14613,x14614,x14615,x14616,x14617),f573(x14612,x14613,x14614,x14615,x14616,x14617)) % 194.45/194.29 [1462]~E(x14621,x14622)+E(f573(x14623,x14621,x14624,x14625,x14626,x14627),f573(x14623,x14622,x14624,x14625,x14626,x14627)) % 194.45/194.29 [1463]~E(x14631,x14632)+E(f573(x14633,x14634,x14631,x14635,x14636,x14637),f573(x14633,x14634,x14632,x14635,x14636,x14637)) % 194.45/194.29 [1464]~E(x14641,x14642)+E(f573(x14643,x14644,x14645,x14641,x14646,x14647),f573(x14643,x14644,x14645,x14642,x14646,x14647)) % 194.45/194.29 [1465]~E(x14651,x14652)+E(f573(x14653,x14654,x14655,x14656,x14651,x14657),f573(x14653,x14654,x14655,x14656,x14652,x14657)) % 194.45/194.29 [1466]~E(x14661,x14662)+E(f573(x14663,x14664,x14665,x14666,x14667,x14661),f573(x14663,x14664,x14665,x14666,x14667,x14662)) % 194.45/194.29 [1467]~E(x14671,x14672)+E(f659(x14671,x14673,x14674,x14675,x14676),f659(x14672,x14673,x14674,x14675,x14676)) % 194.45/194.29 [1468]~E(x14681,x14682)+E(f659(x14683,x14681,x14684,x14685,x14686),f659(x14683,x14682,x14684,x14685,x14686)) % 194.45/194.29 [1469]~E(x14691,x14692)+E(f659(x14693,x14694,x14691,x14695,x14696),f659(x14693,x14694,x14692,x14695,x14696)) % 194.45/194.29 [1470]~E(x14701,x14702)+E(f659(x14703,x14704,x14705,x14701,x14706),f659(x14703,x14704,x14705,x14702,x14706)) % 194.45/194.29 [1471]~E(x14711,x14712)+E(f659(x14713,x14714,x14715,x14716,x14711),f659(x14713,x14714,x14715,x14716,x14712)) % 194.45/194.29 [1472]~E(x14721,x14722)+E(f757(x14721,x14723),f757(x14722,x14723)) % 194.45/194.29 [1473]~E(x14731,x14732)+E(f757(x14733,x14731),f757(x14733,x14732)) % 194.45/194.29 [1474]~E(x14741,x14742)+E(f259(x14741,x14743,x14744,x14745),f259(x14742,x14743,x14744,x14745)) % 194.45/194.29 [1475]~E(x14751,x14752)+E(f259(x14753,x14751,x14754,x14755),f259(x14753,x14752,x14754,x14755)) % 194.45/194.29 [1476]~E(x14761,x14762)+E(f259(x14763,x14764,x14761,x14765),f259(x14763,x14764,x14762,x14765)) % 194.45/194.29 [1477]~E(x14771,x14772)+E(f259(x14773,x14774,x14775,x14771),f259(x14773,x14774,x14775,x14772)) % 194.45/194.29 [1478]~E(x14781,x14782)+E(f140(x14781,x14783,x14784),f140(x14782,x14783,x14784)) % 194.45/194.29 [1479]~E(x14791,x14792)+E(f140(x14793,x14791,x14794),f140(x14793,x14792,x14794)) % 194.45/194.29 [1480]~E(x14801,x14802)+E(f140(x14803,x14804,x14801),f140(x14803,x14804,x14802)) % 194.45/194.29 [1481]~E(x14811,x14812)+E(f424(x14811,x14813,x14814,x14815,x14816),f424(x14812,x14813,x14814,x14815,x14816)) % 194.45/194.29 [1482]~E(x14821,x14822)+E(f424(x14823,x14821,x14824,x14825,x14826),f424(x14823,x14822,x14824,x14825,x14826)) % 194.45/194.29 [1483]~E(x14831,x14832)+E(f424(x14833,x14834,x14831,x14835,x14836),f424(x14833,x14834,x14832,x14835,x14836)) % 194.45/194.29 [1484]~E(x14841,x14842)+E(f424(x14843,x14844,x14845,x14841,x14846),f424(x14843,x14844,x14845,x14842,x14846)) % 194.45/194.29 [1485]~E(x14851,x14852)+E(f424(x14853,x14854,x14855,x14856,x14851),f424(x14853,x14854,x14855,x14856,x14852)) % 194.45/194.29 [1486]~E(x14861,x14862)+E(f780(x14861,x14863),f780(x14862,x14863)) % 194.45/194.29 [1487]~E(x14871,x14872)+E(f780(x14873,x14871),f780(x14873,x14872)) % 194.45/194.29 [1488]~E(x14881,x14882)+E(f745(x14881,x14883,x14884),f745(x14882,x14883,x14884)) % 194.45/194.29 [1489]~E(x14891,x14892)+E(f745(x14893,x14891,x14894),f745(x14893,x14892,x14894)) % 194.45/194.29 [1490]~E(x14901,x14902)+E(f745(x14903,x14904,x14901),f745(x14903,x14904,x14902)) % 194.45/194.29 [1491]~E(x14911,x14912)+E(f648(x14911,x14913,x14914),f648(x14912,x14913,x14914)) % 194.45/194.29 [1492]~E(x14921,x14922)+E(f648(x14923,x14921,x14924),f648(x14923,x14922,x14924)) % 194.45/194.29 [1493]~E(x14931,x14932)+E(f648(x14933,x14934,x14931),f648(x14933,x14934,x14932)) % 194.45/194.29 [1494]~E(x14941,x14942)+E(f542(x14941,x14943,x14944),f542(x14942,x14943,x14944)) % 194.45/194.29 [1495]~E(x14951,x14952)+E(f542(x14953,x14951,x14954),f542(x14953,x14952,x14954)) % 194.45/194.29 [1496]~E(x14961,x14962)+E(f542(x14963,x14964,x14961),f542(x14963,x14964,x14962)) % 194.45/194.29 [1497]~E(x14971,x14972)+E(f402(x14971,x14973,x14974),f402(x14972,x14973,x14974)) % 194.45/194.29 [1498]~E(x14981,x14982)+E(f402(x14983,x14981,x14984),f402(x14983,x14982,x14984)) % 194.45/194.29 [1499]~E(x14991,x14992)+E(f402(x14993,x14994,x14991),f402(x14993,x14994,x14992)) % 194.45/194.29 [1500]~E(x15001,x15002)+E(f889(x15001,x15003,x15004,x15005),f889(x15002,x15003,x15004,x15005)) % 194.45/194.29 [1501]~E(x15011,x15012)+E(f889(x15013,x15011,x15014,x15015),f889(x15013,x15012,x15014,x15015)) % 194.45/194.29 [1502]~E(x15021,x15022)+E(f889(x15023,x15024,x15021,x15025),f889(x15023,x15024,x15022,x15025)) % 194.45/194.29 [1503]~E(x15031,x15032)+E(f889(x15033,x15034,x15035,x15031),f889(x15033,x15034,x15035,x15032)) % 194.45/194.29 [1504]~E(x15041,x15042)+E(f269(x15041,x15043),f269(x15042,x15043)) % 194.45/194.29 [1505]~E(x15051,x15052)+E(f269(x15053,x15051),f269(x15053,x15052)) % 194.45/194.29 [1506]~E(x15061,x15062)+E(f180(x15061),f180(x15062)) % 194.45/194.29 [1507]~E(x15071,x15072)+E(f589(x15071,x15073,x15074,x15075,x15076),f589(x15072,x15073,x15074,x15075,x15076)) % 194.45/194.29 [1508]~E(x15081,x15082)+E(f589(x15083,x15081,x15084,x15085,x15086),f589(x15083,x15082,x15084,x15085,x15086)) % 194.45/194.29 [1509]~E(x15091,x15092)+E(f589(x15093,x15094,x15091,x15095,x15096),f589(x15093,x15094,x15092,x15095,x15096)) % 194.45/194.29 [1510]~E(x15101,x15102)+E(f589(x15103,x15104,x15105,x15101,x15106),f589(x15103,x15104,x15105,x15102,x15106)) % 194.45/194.29 [1511]~E(x15111,x15112)+E(f589(x15113,x15114,x15115,x15116,x15111),f589(x15113,x15114,x15115,x15116,x15112)) % 194.45/194.29 [1512]~E(x15121,x15122)+E(f54(x15121,x15123),f54(x15122,x15123)) % 194.45/194.29 [1513]~E(x15131,x15132)+E(f54(x15133,x15131),f54(x15133,x15132)) % 194.45/194.29 [1514]~E(x15141,x15142)+E(f629(x15141,x15143),f629(x15142,x15143)) % 194.45/194.29 [1515]~E(x15151,x15152)+E(f629(x15153,x15151),f629(x15153,x15152)) % 194.45/194.29 [1516]~E(x15161,x15162)+E(f128(x15161,x15163,x15164,x15165,x15166),f128(x15162,x15163,x15164,x15165,x15166)) % 194.45/194.29 [1517]~E(x15171,x15172)+E(f128(x15173,x15171,x15174,x15175,x15176),f128(x15173,x15172,x15174,x15175,x15176)) % 194.45/194.29 [1518]~E(x15181,x15182)+E(f128(x15183,x15184,x15181,x15185,x15186),f128(x15183,x15184,x15182,x15185,x15186)) % 194.45/194.29 [1519]~E(x15191,x15192)+E(f128(x15193,x15194,x15195,x15191,x15196),f128(x15193,x15194,x15195,x15192,x15196)) % 194.45/194.29 [1520]~E(x15201,x15202)+E(f128(x15203,x15204,x15205,x15206,x15201),f128(x15203,x15204,x15205,x15206,x15202)) % 194.45/194.29 [1521]~E(x15211,x15212)+E(f602(x15211,x15213,x15214,x15215),f602(x15212,x15213,x15214,x15215)) % 194.45/194.29 [1522]~E(x15221,x15222)+E(f602(x15223,x15221,x15224,x15225),f602(x15223,x15222,x15224,x15225)) % 194.45/194.29 [1523]~E(x15231,x15232)+E(f602(x15233,x15234,x15231,x15235),f602(x15233,x15234,x15232,x15235)) % 194.45/194.29 [1524]~E(x15241,x15242)+E(f602(x15243,x15244,x15245,x15241),f602(x15243,x15244,x15245,x15242)) % 194.45/194.29 [1525]~E(x15251,x15252)+E(f331(x15251,x15253),f331(x15252,x15253)) % 194.45/194.29 [1526]~E(x15261,x15262)+E(f331(x15263,x15261),f331(x15263,x15262)) % 194.45/194.29 [1527]~E(x15271,x15272)+E(f636(x15271,x15273,x15274),f636(x15272,x15273,x15274)) % 194.45/194.29 [1528]~E(x15281,x15282)+E(f636(x15283,x15281,x15284),f636(x15283,x15282,x15284)) % 194.45/194.29 [1529]~E(x15291,x15292)+E(f636(x15293,x15294,x15291),f636(x15293,x15294,x15292)) % 194.45/194.29 [1530]~E(x15301,x15302)+E(f334(x15301,x15303,x15304),f334(x15302,x15303,x15304)) % 194.45/194.29 [1531]~E(x15311,x15312)+E(f334(x15313,x15311,x15314),f334(x15313,x15312,x15314)) % 194.45/194.29 [1532]~E(x15321,x15322)+E(f334(x15323,x15324,x15321),f334(x15323,x15324,x15322)) % 194.45/194.29 [1533]~E(x15331,x15332)+E(f816(x15331,x15333,x15334,x15335,x15336,x15337,x15338),f816(x15332,x15333,x15334,x15335,x15336,x15337,x15338)) % 194.45/194.29 [1534]~E(x15341,x15342)+E(f816(x15343,x15341,x15344,x15345,x15346,x15347,x15348),f816(x15343,x15342,x15344,x15345,x15346,x15347,x15348)) % 194.45/194.29 [1535]~E(x15351,x15352)+E(f816(x15353,x15354,x15351,x15355,x15356,x15357,x15358),f816(x15353,x15354,x15352,x15355,x15356,x15357,x15358)) % 194.45/194.29 [1536]~E(x15361,x15362)+E(f816(x15363,x15364,x15365,x15361,x15366,x15367,x15368),f816(x15363,x15364,x15365,x15362,x15366,x15367,x15368)) % 194.45/194.29 [1537]~E(x15371,x15372)+E(f816(x15373,x15374,x15375,x15376,x15371,x15377,x15378),f816(x15373,x15374,x15375,x15376,x15372,x15377,x15378)) % 194.45/194.29 [1538]~E(x15381,x15382)+E(f816(x15383,x15384,x15385,x15386,x15387,x15381,x15388),f816(x15383,x15384,x15385,x15386,x15387,x15382,x15388)) % 194.45/194.29 [1539]~E(x15391,x15392)+E(f816(x15393,x15394,x15395,x15396,x15397,x15398,x15391),f816(x15393,x15394,x15395,x15396,x15397,x15398,x15392)) % 194.45/194.29 [1540]~E(x15401,x15402)+E(f674(x15401,x15403),f674(x15402,x15403)) % 194.45/194.29 [1541]~E(x15411,x15412)+E(f674(x15413,x15411),f674(x15413,x15412)) % 194.45/194.29 [1542]~E(x15421,x15422)+E(f408(x15421,x15423,x15424,x15425),f408(x15422,x15423,x15424,x15425)) % 194.45/194.29 [1543]~E(x15431,x15432)+E(f408(x15433,x15431,x15434,x15435),f408(x15433,x15432,x15434,x15435)) % 194.45/194.29 [1544]~E(x15441,x15442)+E(f408(x15443,x15444,x15441,x15445),f408(x15443,x15444,x15442,x15445)) % 194.45/194.29 [1545]~E(x15451,x15452)+E(f408(x15453,x15454,x15455,x15451),f408(x15453,x15454,x15455,x15452)) % 194.45/194.29 [1546]~E(x15461,x15462)+E(f291(x15461,x15463,x15464),f291(x15462,x15463,x15464)) % 194.45/194.29 [1547]~E(x15471,x15472)+E(f291(x15473,x15471,x15474),f291(x15473,x15472,x15474)) % 194.45/194.29 [1548]~E(x15481,x15482)+E(f291(x15483,x15484,x15481),f291(x15483,x15484,x15482)) % 194.45/194.29 [1549]~E(x15491,x15492)+E(f518(x15491,x15493,x15494),f518(x15492,x15493,x15494)) % 194.45/194.29 [1550]~E(x15501,x15502)+E(f518(x15503,x15501,x15504),f518(x15503,x15502,x15504)) % 194.45/194.29 [1551]~E(x15511,x15512)+E(f518(x15513,x15514,x15511),f518(x15513,x15514,x15512)) % 194.45/194.29 [1552]~E(x15521,x15522)+E(f309(x15521,x15523),f309(x15522,x15523)) % 194.45/194.29 [1553]~E(x15531,x15532)+E(f309(x15533,x15531),f309(x15533,x15532)) % 194.45/194.29 [1554]~E(x15541,x15542)+E(f701(x15541,x15543),f701(x15542,x15543)) % 194.45/194.29 [1555]~E(x15551,x15552)+E(f701(x15553,x15551),f701(x15553,x15552)) % 194.45/194.29 [1556]~E(x15561,x15562)+E(f735(x15561,x15563),f735(x15562,x15563)) % 194.45/194.29 [1557]~E(x15571,x15572)+E(f735(x15573,x15571),f735(x15573,x15572)) % 194.45/194.29 [1558]~E(x15581,x15582)+E(f481(x15581,x15583,x15584,x15585),f481(x15582,x15583,x15584,x15585)) % 194.45/194.29 [1559]~E(x15591,x15592)+E(f481(x15593,x15591,x15594,x15595),f481(x15593,x15592,x15594,x15595)) % 194.45/194.29 [1560]~E(x15601,x15602)+E(f481(x15603,x15604,x15601,x15605),f481(x15603,x15604,x15602,x15605)) % 194.45/194.29 [1561]~E(x15611,x15612)+E(f481(x15613,x15614,x15615,x15611),f481(x15613,x15614,x15615,x15612)) % 194.45/194.29 [1562]~E(x15621,x15622)+E(f721(x15621,x15623,x15624,x15625),f721(x15622,x15623,x15624,x15625)) % 194.45/194.29 [1563]~E(x15631,x15632)+E(f721(x15633,x15631,x15634,x15635),f721(x15633,x15632,x15634,x15635)) % 194.45/194.29 [1564]~E(x15641,x15642)+E(f721(x15643,x15644,x15641,x15645),f721(x15643,x15644,x15642,x15645)) % 194.45/194.29 [1565]~E(x15651,x15652)+E(f721(x15653,x15654,x15655,x15651),f721(x15653,x15654,x15655,x15652)) % 194.45/194.29 [1566]~E(x15661,x15662)+E(f451(x15661,x15663),f451(x15662,x15663)) % 194.45/194.29 [1567]~E(x15671,x15672)+E(f451(x15673,x15671),f451(x15673,x15672)) % 194.45/194.29 [1568]~E(x15681,x15682)+E(f127(x15681,x15683,x15684),f127(x15682,x15683,x15684)) % 194.45/194.29 [1569]~E(x15691,x15692)+E(f127(x15693,x15691,x15694),f127(x15693,x15692,x15694)) % 194.45/194.29 [1570]~E(x15701,x15702)+E(f127(x15703,x15704,x15701),f127(x15703,x15704,x15702)) % 194.45/194.29 [1571]~E(x15711,x15712)+E(f597(x15711,x15713),f597(x15712,x15713)) % 194.45/194.29 [1572]~E(x15721,x15722)+E(f597(x15723,x15721),f597(x15723,x15722)) % 194.45/194.29 [1573]~E(x15731,x15732)+E(f829(x15731,x15733,x15734,x15735),f829(x15732,x15733,x15734,x15735)) % 194.45/194.29 [1574]~E(x15741,x15742)+E(f829(x15743,x15741,x15744,x15745),f829(x15743,x15742,x15744,x15745)) % 194.45/194.29 [1575]~E(x15751,x15752)+E(f829(x15753,x15754,x15751,x15755),f829(x15753,x15754,x15752,x15755)) % 194.45/194.29 [1576]~E(x15761,x15762)+E(f829(x15763,x15764,x15765,x15761),f829(x15763,x15764,x15765,x15762)) % 194.45/194.29 [1577]~E(x15771,x15772)+E(f655(x15771,x15773,x15774),f655(x15772,x15773,x15774)) % 194.45/194.29 [1578]~E(x15781,x15782)+E(f655(x15783,x15781,x15784),f655(x15783,x15782,x15784)) % 194.45/194.29 [1579]~E(x15791,x15792)+E(f655(x15793,x15794,x15791),f655(x15793,x15794,x15792)) % 194.45/194.29 [1580]~E(x15801,x15802)+E(f574(x15801,x15803,x15804,x15805,x15806,x15807),f574(x15802,x15803,x15804,x15805,x15806,x15807)) % 194.45/194.29 [1581]~E(x15811,x15812)+E(f574(x15813,x15811,x15814,x15815,x15816,x15817),f574(x15813,x15812,x15814,x15815,x15816,x15817)) % 194.45/194.29 [1582]~E(x15821,x15822)+E(f574(x15823,x15824,x15821,x15825,x15826,x15827),f574(x15823,x15824,x15822,x15825,x15826,x15827)) % 194.45/194.29 [1583]~E(x15831,x15832)+E(f574(x15833,x15834,x15835,x15831,x15836,x15837),f574(x15833,x15834,x15835,x15832,x15836,x15837)) % 194.45/194.29 [1584]~E(x15841,x15842)+E(f574(x15843,x15844,x15845,x15846,x15841,x15847),f574(x15843,x15844,x15845,x15846,x15842,x15847)) % 194.45/194.29 [1585]~E(x15851,x15852)+E(f574(x15853,x15854,x15855,x15856,x15857,x15851),f574(x15853,x15854,x15855,x15856,x15857,x15852)) % 194.45/194.29 [1586]~E(x15861,x15862)+E(f21(x15861,x15863,x15864,x15865),f21(x15862,x15863,x15864,x15865)) % 194.45/194.29 [1587]~E(x15871,x15872)+E(f21(x15873,x15871,x15874,x15875),f21(x15873,x15872,x15874,x15875)) % 194.45/194.29 [1588]~E(x15881,x15882)+E(f21(x15883,x15884,x15881,x15885),f21(x15883,x15884,x15882,x15885)) % 194.45/194.29 [1589]~E(x15891,x15892)+E(f21(x15893,x15894,x15895,x15891),f21(x15893,x15894,x15895,x15892)) % 194.45/194.29 [1590]~E(x15901,x15902)+E(f731(x15901,x15903,x15904,x15905,x15906),f731(x15902,x15903,x15904,x15905,x15906)) % 194.45/194.29 [1591]~E(x15911,x15912)+E(f731(x15913,x15911,x15914,x15915,x15916),f731(x15913,x15912,x15914,x15915,x15916)) % 194.45/194.29 [1592]~E(x15921,x15922)+E(f731(x15923,x15924,x15921,x15925,x15926),f731(x15923,x15924,x15922,x15925,x15926)) % 194.45/194.29 [1593]~E(x15931,x15932)+E(f731(x15933,x15934,x15935,x15931,x15936),f731(x15933,x15934,x15935,x15932,x15936)) % 194.45/194.29 [1594]~E(x15941,x15942)+E(f731(x15943,x15944,x15945,x15946,x15941),f731(x15943,x15944,x15945,x15946,x15942)) % 194.45/194.29 [1595]~E(x15951,x15952)+E(f480(x15951,x15953,x15954,x15955),f480(x15952,x15953,x15954,x15955)) % 194.45/194.29 [1596]~E(x15961,x15962)+E(f480(x15963,x15961,x15964,x15965),f480(x15963,x15962,x15964,x15965)) % 194.45/194.29 [1597]~E(x15971,x15972)+E(f480(x15973,x15974,x15971,x15975),f480(x15973,x15974,x15972,x15975)) % 194.45/194.29 [1598]~E(x15981,x15982)+E(f480(x15983,x15984,x15985,x15981),f480(x15983,x15984,x15985,x15982)) % 194.45/194.29 [1599]~E(x15991,x15992)+E(f227(x15991,x15993,x15994,x15995,x15996),f227(x15992,x15993,x15994,x15995,x15996)) % 194.45/194.29 [1600]~E(x16001,x16002)+E(f227(x16003,x16001,x16004,x16005,x16006),f227(x16003,x16002,x16004,x16005,x16006)) % 194.45/194.29 [1601]~E(x16011,x16012)+E(f227(x16013,x16014,x16011,x16015,x16016),f227(x16013,x16014,x16012,x16015,x16016)) % 194.45/194.29 [1602]~E(x16021,x16022)+E(f227(x16023,x16024,x16025,x16021,x16026),f227(x16023,x16024,x16025,x16022,x16026)) % 194.45/194.29 [1603]~E(x16031,x16032)+E(f227(x16033,x16034,x16035,x16036,x16031),f227(x16033,x16034,x16035,x16036,x16032)) % 194.45/194.29 [1604]~E(x16041,x16042)+E(f344(x16041,x16043,x16044,x16045,x16046),f344(x16042,x16043,x16044,x16045,x16046)) % 194.45/194.29 [1605]~E(x16051,x16052)+E(f344(x16053,x16051,x16054,x16055,x16056),f344(x16053,x16052,x16054,x16055,x16056)) % 194.45/194.29 [1606]~E(x16061,x16062)+E(f344(x16063,x16064,x16061,x16065,x16066),f344(x16063,x16064,x16062,x16065,x16066)) % 194.45/194.29 [1607]~E(x16071,x16072)+E(f344(x16073,x16074,x16075,x16071,x16076),f344(x16073,x16074,x16075,x16072,x16076)) % 194.45/194.29 [1608]~E(x16081,x16082)+E(f344(x16083,x16084,x16085,x16086,x16081),f344(x16083,x16084,x16085,x16086,x16082)) % 194.45/194.29 [1609]~E(x16091,x16092)+E(f796(x16091,x16093,x16094),f796(x16092,x16093,x16094)) % 194.45/194.29 [1610]~E(x16101,x16102)+E(f796(x16103,x16101,x16104),f796(x16103,x16102,x16104)) % 194.45/194.29 [1611]~E(x16111,x16112)+E(f796(x16113,x16114,x16111),f796(x16113,x16114,x16112)) % 194.45/194.29 [1612]~E(x16121,x16122)+E(f806(x16121,x16123,x16124,x16125),f806(x16122,x16123,x16124,x16125)) % 194.45/194.29 [1613]~E(x16131,x16132)+E(f806(x16133,x16131,x16134,x16135),f806(x16133,x16132,x16134,x16135)) % 194.45/194.29 [1614]~E(x16141,x16142)+E(f806(x16143,x16144,x16141,x16145),f806(x16143,x16144,x16142,x16145)) % 194.45/194.29 [1615]~E(x16151,x16152)+E(f806(x16153,x16154,x16155,x16151),f806(x16153,x16154,x16155,x16152)) % 194.45/194.29 [1616]~E(x16161,x16162)+E(f890(x16161,x16163,x16164,x16165,x16166),f890(x16162,x16163,x16164,x16165,x16166)) % 194.45/194.29 [1617]~E(x16171,x16172)+E(f890(x16173,x16171,x16174,x16175,x16176),f890(x16173,x16172,x16174,x16175,x16176)) % 194.45/194.29 [1618]~E(x16181,x16182)+E(f890(x16183,x16184,x16181,x16185,x16186),f890(x16183,x16184,x16182,x16185,x16186)) % 194.45/194.29 [1619]~E(x16191,x16192)+E(f890(x16193,x16194,x16195,x16191,x16196),f890(x16193,x16194,x16195,x16192,x16196)) % 194.45/194.29 [1620]~E(x16201,x16202)+E(f890(x16203,x16204,x16205,x16206,x16201),f890(x16203,x16204,x16205,x16206,x16202)) % 194.45/194.29 [1621]~E(x16211,x16212)+E(f908(x16211,x16213,x16214,x16215,x16216,x16217,x16218),f908(x16212,x16213,x16214,x16215,x16216,x16217,x16218)) % 194.45/194.29 [1622]~E(x16221,x16222)+E(f908(x16223,x16221,x16224,x16225,x16226,x16227,x16228),f908(x16223,x16222,x16224,x16225,x16226,x16227,x16228)) % 194.45/194.29 [1623]~E(x16231,x16232)+E(f908(x16233,x16234,x16231,x16235,x16236,x16237,x16238),f908(x16233,x16234,x16232,x16235,x16236,x16237,x16238)) % 194.45/194.29 [1624]~E(x16241,x16242)+E(f908(x16243,x16244,x16245,x16241,x16246,x16247,x16248),f908(x16243,x16244,x16245,x16242,x16246,x16247,x16248)) % 194.45/194.29 [1625]~E(x16251,x16252)+E(f908(x16253,x16254,x16255,x16256,x16251,x16257,x16258),f908(x16253,x16254,x16255,x16256,x16252,x16257,x16258)) % 194.45/194.29 [1626]~E(x16261,x16262)+E(f908(x16263,x16264,x16265,x16266,x16267,x16261,x16268),f908(x16263,x16264,x16265,x16266,x16267,x16262,x16268)) % 194.45/194.29 [1627]~E(x16271,x16272)+E(f908(x16273,x16274,x16275,x16276,x16277,x16278,x16271),f908(x16273,x16274,x16275,x16276,x16277,x16278,x16272)) % 194.45/194.29 [1628]~E(x16281,x16282)+E(f495(x16281,x16283,x16284,x16285),f495(x16282,x16283,x16284,x16285)) % 194.45/194.29 [1629]~E(x16291,x16292)+E(f495(x16293,x16291,x16294,x16295),f495(x16293,x16292,x16294,x16295)) % 194.45/194.29 [1630]~E(x16301,x16302)+E(f495(x16303,x16304,x16301,x16305),f495(x16303,x16304,x16302,x16305)) % 194.45/194.29 [1631]~E(x16311,x16312)+E(f495(x16313,x16314,x16315,x16311),f495(x16313,x16314,x16315,x16312)) % 194.45/194.29 [1632]~E(x16321,x16322)+E(f858(x16321),f858(x16322)) % 194.45/194.29 [1633]~E(x16331,x16332)+E(f528(x16331,x16333,x16334),f528(x16332,x16333,x16334)) % 194.45/194.29 [1634]~E(x16341,x16342)+E(f528(x16343,x16341,x16344),f528(x16343,x16342,x16344)) % 194.45/194.29 [1635]~E(x16351,x16352)+E(f528(x16353,x16354,x16351),f528(x16353,x16354,x16352)) % 194.45/194.29 [1636]~E(x16361,x16362)+E(f427(x16361,x16363,x16364,x16365,x16366),f427(x16362,x16363,x16364,x16365,x16366)) % 194.45/194.29 [1637]~E(x16371,x16372)+E(f427(x16373,x16371,x16374,x16375,x16376),f427(x16373,x16372,x16374,x16375,x16376)) % 194.45/194.29 [1638]~E(x16381,x16382)+E(f427(x16383,x16384,x16381,x16385,x16386),f427(x16383,x16384,x16382,x16385,x16386)) % 194.45/194.29 [1639]~E(x16391,x16392)+E(f427(x16393,x16394,x16395,x16391,x16396),f427(x16393,x16394,x16395,x16392,x16396)) % 194.45/194.29 [1640]~E(x16401,x16402)+E(f427(x16403,x16404,x16405,x16406,x16401),f427(x16403,x16404,x16405,x16406,x16402)) % 194.45/194.29 [1641]~E(x16411,x16412)+E(f626(x16411,x16413,x16414),f626(x16412,x16413,x16414)) % 194.45/194.29 [1642]~E(x16421,x16422)+E(f626(x16423,x16421,x16424),f626(x16423,x16422,x16424)) % 194.45/194.29 [1643]~E(x16431,x16432)+E(f626(x16433,x16434,x16431),f626(x16433,x16434,x16432)) % 194.45/194.29 [1644]~E(x16441,x16442)+E(f354(x16441,x16443,x16444,x16445,x16446),f354(x16442,x16443,x16444,x16445,x16446)) % 194.45/194.29 [1645]~E(x16451,x16452)+E(f354(x16453,x16451,x16454,x16455,x16456),f354(x16453,x16452,x16454,x16455,x16456)) % 194.45/194.29 [1646]~E(x16461,x16462)+E(f354(x16463,x16464,x16461,x16465,x16466),f354(x16463,x16464,x16462,x16465,x16466)) % 194.45/194.29 [1647]~E(x16471,x16472)+E(f354(x16473,x16474,x16475,x16471,x16476),f354(x16473,x16474,x16475,x16472,x16476)) % 194.45/194.29 [1648]~E(x16481,x16482)+E(f354(x16483,x16484,x16485,x16486,x16481),f354(x16483,x16484,x16485,x16486,x16482)) % 194.45/194.29 [1649]~E(x16491,x16492)+E(f162(x16491,x16493),f162(x16492,x16493)) % 194.45/194.29 [1650]~E(x16501,x16502)+E(f162(x16503,x16501),f162(x16503,x16502)) % 194.45/194.29 [1651]~E(x16511,x16512)+E(f510(x16511,x16513,x16514,x16515,x16516),f510(x16512,x16513,x16514,x16515,x16516)) % 194.45/194.29 [1652]~E(x16521,x16522)+E(f510(x16523,x16521,x16524,x16525,x16526),f510(x16523,x16522,x16524,x16525,x16526)) % 194.45/194.29 [1653]~E(x16531,x16532)+E(f510(x16533,x16534,x16531,x16535,x16536),f510(x16533,x16534,x16532,x16535,x16536)) % 194.45/194.29 [1654]~E(x16541,x16542)+E(f510(x16543,x16544,x16545,x16541,x16546),f510(x16543,x16544,x16545,x16542,x16546)) % 194.45/194.29 [1655]~E(x16551,x16552)+E(f510(x16553,x16554,x16555,x16556,x16551),f510(x16553,x16554,x16555,x16556,x16552)) % 194.45/194.29 [1656]~E(x16561,x16562)+E(f403(x16561,x16563,x16564),f403(x16562,x16563,x16564)) % 194.45/194.29 [1657]~E(x16571,x16572)+E(f403(x16573,x16571,x16574),f403(x16573,x16572,x16574)) % 194.45/194.29 [1658]~E(x16581,x16582)+E(f403(x16583,x16584,x16581),f403(x16583,x16584,x16582)) % 194.45/194.29 [1659]~E(x16591,x16592)+E(f456(x16591,x16593),f456(x16592,x16593)) % 194.45/194.29 [1660]~E(x16601,x16602)+E(f456(x16603,x16601),f456(x16603,x16602)) % 194.45/194.29 [1661]~E(x16611,x16612)+E(f732(x16611,x16613,x16614,x16615,x16616),f732(x16612,x16613,x16614,x16615,x16616)) % 194.45/194.29 [1662]~E(x16621,x16622)+E(f732(x16623,x16621,x16624,x16625,x16626),f732(x16623,x16622,x16624,x16625,x16626)) % 194.45/194.29 [1663]~E(x16631,x16632)+E(f732(x16633,x16634,x16631,x16635,x16636),f732(x16633,x16634,x16632,x16635,x16636)) % 194.45/194.29 [1664]~E(x16641,x16642)+E(f732(x16643,x16644,x16645,x16641,x16646),f732(x16643,x16644,x16645,x16642,x16646)) % 194.45/194.29 [1665]~E(x16651,x16652)+E(f732(x16653,x16654,x16655,x16656,x16651),f732(x16653,x16654,x16655,x16656,x16652)) % 194.45/194.29 [1666]~E(x16661,x16662)+E(f815(x16661,x16663,x16664,x16665,x16666,x16667,x16668),f815(x16662,x16663,x16664,x16665,x16666,x16667,x16668)) % 194.45/194.29 [1667]~E(x16671,x16672)+E(f815(x16673,x16671,x16674,x16675,x16676,x16677,x16678),f815(x16673,x16672,x16674,x16675,x16676,x16677,x16678)) % 194.45/194.29 [1668]~E(x16681,x16682)+E(f815(x16683,x16684,x16681,x16685,x16686,x16687,x16688),f815(x16683,x16684,x16682,x16685,x16686,x16687,x16688)) % 194.45/194.29 [1669]~E(x16691,x16692)+E(f815(x16693,x16694,x16695,x16691,x16696,x16697,x16698),f815(x16693,x16694,x16695,x16692,x16696,x16697,x16698)) % 194.45/194.29 [1670]~E(x16701,x16702)+E(f815(x16703,x16704,x16705,x16706,x16701,x16707,x16708),f815(x16703,x16704,x16705,x16706,x16702,x16707,x16708)) % 194.45/194.29 [1671]~E(x16711,x16712)+E(f815(x16713,x16714,x16715,x16716,x16717,x16711,x16718),f815(x16713,x16714,x16715,x16716,x16717,x16712,x16718)) % 194.45/194.29 [1672]~E(x16721,x16722)+E(f815(x16723,x16724,x16725,x16726,x16727,x16728,x16721),f815(x16723,x16724,x16725,x16726,x16727,x16728,x16722)) % 194.45/194.29 [1673]~E(x16731,x16732)+E(f660(x16731,x16733,x16734,x16735,x16736),f660(x16732,x16733,x16734,x16735,x16736)) % 194.45/194.29 [1674]~E(x16741,x16742)+E(f660(x16743,x16741,x16744,x16745,x16746),f660(x16743,x16742,x16744,x16745,x16746)) % 194.45/194.29 [1675]~E(x16751,x16752)+E(f660(x16753,x16754,x16751,x16755,x16756),f660(x16753,x16754,x16752,x16755,x16756)) % 194.45/194.29 [1676]~E(x16761,x16762)+E(f660(x16763,x16764,x16765,x16761,x16766),f660(x16763,x16764,x16765,x16762,x16766)) % 194.45/194.29 [1677]~E(x16771,x16772)+E(f660(x16773,x16774,x16775,x16776,x16771),f660(x16773,x16774,x16775,x16776,x16772)) % 194.45/194.29 [1678]~E(x16781,x16782)+E(f604(x16781,x16783,x16784,x16785),f604(x16782,x16783,x16784,x16785)) % 194.45/194.29 [1679]~E(x16791,x16792)+E(f604(x16793,x16791,x16794,x16795),f604(x16793,x16792,x16794,x16795)) % 194.45/194.29 [1680]~E(x16801,x16802)+E(f604(x16803,x16804,x16801,x16805),f604(x16803,x16804,x16802,x16805)) % 194.45/194.29 [1681]~E(x16811,x16812)+E(f604(x16813,x16814,x16815,x16811),f604(x16813,x16814,x16815,x16812)) % 194.45/194.29 [1682]~E(x16821,x16822)+E(f549(x16821,x16823,x16824,x16825),f549(x16822,x16823,x16824,x16825)) % 194.45/194.29 [1683]~E(x16831,x16832)+E(f549(x16833,x16831,x16834,x16835),f549(x16833,x16832,x16834,x16835)) % 194.45/194.29 [1684]~E(x16841,x16842)+E(f549(x16843,x16844,x16841,x16845),f549(x16843,x16844,x16842,x16845)) % 194.45/194.29 [1685]~E(x16851,x16852)+E(f549(x16853,x16854,x16855,x16851),f549(x16853,x16854,x16855,x16852)) % 194.45/194.29 [1686]~E(x16861,x16862)+E(f534(x16861),f534(x16862)) % 194.45/194.29 [1687]~E(x16871,x16872)+E(f849(x16871),f849(x16872)) % 194.45/194.29 [1688]~E(x16881,x16882)+E(f909(x16881,x16883,x16884,x16885),f909(x16882,x16883,x16884,x16885)) % 194.45/194.29 [1689]~E(x16891,x16892)+E(f909(x16893,x16891,x16894,x16895),f909(x16893,x16892,x16894,x16895)) % 194.45/194.29 [1690]~E(x16901,x16902)+E(f909(x16903,x16904,x16901,x16905),f909(x16903,x16904,x16902,x16905)) % 194.45/194.29 [1691]~E(x16911,x16912)+E(f909(x16913,x16914,x16915,x16911),f909(x16913,x16914,x16915,x16912)) % 194.45/194.29 [1692]~E(x16921,x16922)+E(f345(x16921,x16923,x16924,x16925,x16926),f345(x16922,x16923,x16924,x16925,x16926)) % 194.45/194.29 [1693]~E(x16931,x16932)+E(f345(x16933,x16931,x16934,x16935,x16936),f345(x16933,x16932,x16934,x16935,x16936)) % 194.45/194.29 [1694]~E(x16941,x16942)+E(f345(x16943,x16944,x16941,x16945,x16946),f345(x16943,x16944,x16942,x16945,x16946)) % 194.45/194.29 [1695]~E(x16951,x16952)+E(f345(x16953,x16954,x16955,x16951,x16956),f345(x16953,x16954,x16955,x16952,x16956)) % 194.45/194.29 [1696]~E(x16961,x16962)+E(f345(x16963,x16964,x16965,x16966,x16961),f345(x16963,x16964,x16965,x16966,x16962)) % 194.45/194.29 [1697]~E(x16971,x16972)+E(f627(x16971,x16973,x16974),f627(x16972,x16973,x16974)) % 194.45/194.29 [1698]~E(x16981,x16982)+E(f627(x16983,x16981,x16984),f627(x16983,x16982,x16984)) % 194.45/194.29 [1699]~E(x16991,x16992)+E(f627(x16993,x16994,x16991),f627(x16993,x16994,x16992)) % 194.45/194.29 [1700]~E(x17001,x17002)+E(f508(x17001,x17003,x17004,x17005,x17006,x17007),f508(x17002,x17003,x17004,x17005,x17006,x17007)) % 194.45/194.29 [1701]~E(x17011,x17012)+E(f508(x17013,x17011,x17014,x17015,x17016,x17017),f508(x17013,x17012,x17014,x17015,x17016,x17017)) % 194.45/194.29 [1702]~E(x17021,x17022)+E(f508(x17023,x17024,x17021,x17025,x17026,x17027),f508(x17023,x17024,x17022,x17025,x17026,x17027)) % 194.45/194.29 [1703]~E(x17031,x17032)+E(f508(x17033,x17034,x17035,x17031,x17036,x17037),f508(x17033,x17034,x17035,x17032,x17036,x17037)) % 194.45/194.29 [1704]~E(x17041,x17042)+E(f508(x17043,x17044,x17045,x17046,x17041,x17047),f508(x17043,x17044,x17045,x17046,x17042,x17047)) % 194.45/194.29 [1705]~E(x17051,x17052)+E(f508(x17053,x17054,x17055,x17056,x17057,x17051),f508(x17053,x17054,x17055,x17056,x17057,x17052)) % 194.45/194.29 [1706]~E(x17061,x17062)+E(f412(x17061,x17063,x17064),f412(x17062,x17063,x17064)) % 194.45/194.29 [1707]~E(x17071,x17072)+E(f412(x17073,x17071,x17074),f412(x17073,x17072,x17074)) % 194.45/194.29 [1708]~E(x17081,x17082)+E(f412(x17083,x17084,x17081),f412(x17083,x17084,x17082)) % 194.45/194.29 [1709]~E(x17091,x17092)+E(f808(x17091,x17093,x17094,x17095),f808(x17092,x17093,x17094,x17095)) % 194.45/194.29 [1710]~E(x17101,x17102)+E(f808(x17103,x17101,x17104,x17105),f808(x17103,x17102,x17104,x17105)) % 194.45/194.29 [1711]~E(x17111,x17112)+E(f808(x17113,x17114,x17111,x17115),f808(x17113,x17114,x17112,x17115)) % 194.45/194.29 [1712]~E(x17121,x17122)+E(f808(x17123,x17124,x17125,x17121),f808(x17123,x17124,x17125,x17122)) % 194.45/194.29 [1713]~E(x17131,x17132)+E(f376(x17131,x17133,x17134,x17135,x17136,x17137,x17138),f376(x17132,x17133,x17134,x17135,x17136,x17137,x17138)) % 194.45/194.29 [1714]~E(x17141,x17142)+E(f376(x17143,x17141,x17144,x17145,x17146,x17147,x17148),f376(x17143,x17142,x17144,x17145,x17146,x17147,x17148)) % 194.45/194.29 [1715]~E(x17151,x17152)+E(f376(x17153,x17154,x17151,x17155,x17156,x17157,x17158),f376(x17153,x17154,x17152,x17155,x17156,x17157,x17158)) % 194.45/194.29 [1716]~E(x17161,x17162)+E(f376(x17163,x17164,x17165,x17161,x17166,x17167,x17168),f376(x17163,x17164,x17165,x17162,x17166,x17167,x17168)) % 194.45/194.29 [1717]~E(x17171,x17172)+E(f376(x17173,x17174,x17175,x17176,x17171,x17177,x17178),f376(x17173,x17174,x17175,x17176,x17172,x17177,x17178)) % 194.45/194.29 [1718]~E(x17181,x17182)+E(f376(x17183,x17184,x17185,x17186,x17187,x17181,x17188),f376(x17183,x17184,x17185,x17186,x17187,x17182,x17188)) % 194.45/194.29 [1719]~E(x17191,x17192)+E(f376(x17193,x17194,x17195,x17196,x17197,x17198,x17191),f376(x17193,x17194,x17195,x17196,x17197,x17198,x17192)) % 194.45/194.29 [1720]~E(x17201,x17202)+E(f445(x17201,x17203,x17204),f445(x17202,x17203,x17204)) % 194.45/194.29 [1721]~E(x17211,x17212)+E(f445(x17213,x17211,x17214),f445(x17213,x17212,x17214)) % 194.45/194.29 [1722]~E(x17221,x17222)+E(f445(x17223,x17224,x17221),f445(x17223,x17224,x17222)) % 194.45/194.29 [1723]~E(x17231,x17232)+E(f272(x17231,x17233,x17234),f272(x17232,x17233,x17234)) % 194.45/194.29 [1724]~E(x17241,x17242)+E(f272(x17243,x17241,x17244),f272(x17243,x17242,x17244)) % 194.45/194.29 [1725]~E(x17251,x17252)+E(f272(x17253,x17254,x17251),f272(x17253,x17254,x17252)) % 194.45/194.29 [1726]~E(x17261,x17262)+E(f685(x17261,x17263,x17264,x17265,x17266),f685(x17262,x17263,x17264,x17265,x17266)) % 194.45/194.29 [1727]~E(x17271,x17272)+E(f685(x17273,x17271,x17274,x17275,x17276),f685(x17273,x17272,x17274,x17275,x17276)) % 194.45/194.29 [1728]~E(x17281,x17282)+E(f685(x17283,x17284,x17281,x17285,x17286),f685(x17283,x17284,x17282,x17285,x17286)) % 194.45/194.29 [1729]~E(x17291,x17292)+E(f685(x17293,x17294,x17295,x17291,x17296),f685(x17293,x17294,x17295,x17292,x17296)) % 194.45/194.29 [1730]~E(x17301,x17302)+E(f685(x17303,x17304,x17305,x17306,x17301),f685(x17303,x17304,x17305,x17306,x17302)) % 194.45/194.29 [1731]~E(x17311,x17312)+E(f203(x17311,x17313),f203(x17312,x17313)) % 194.45/194.29 [1732]~E(x17321,x17322)+E(f203(x17323,x17321),f203(x17323,x17322)) % 194.45/194.29 [1733]~E(x17331,x17332)+E(f296(x17331,x17333,x17334,x17335),f296(x17332,x17333,x17334,x17335)) % 194.45/194.29 [1734]~E(x17341,x17342)+E(f296(x17343,x17341,x17344,x17345),f296(x17343,x17342,x17344,x17345)) % 194.45/194.29 [1735]~E(x17351,x17352)+E(f296(x17353,x17354,x17351,x17355),f296(x17353,x17354,x17352,x17355)) % 194.45/194.29 [1736]~E(x17361,x17362)+E(f296(x17363,x17364,x17365,x17361),f296(x17363,x17364,x17365,x17362)) % 194.45/194.29 [1737]~E(x17371,x17372)+E(f384(x17371),f384(x17372)) % 194.45/194.29 [1738]~E(x17381,x17382)+E(f686(x17381,x17383,x17384,x17385),f686(x17382,x17383,x17384,x17385)) % 194.45/194.29 [1739]~E(x17391,x17392)+E(f686(x17393,x17391,x17394,x17395),f686(x17393,x17392,x17394,x17395)) % 194.45/194.29 [1740]~E(x17401,x17402)+E(f686(x17403,x17404,x17401,x17405),f686(x17403,x17404,x17402,x17405)) % 194.45/194.29 [1741]~E(x17411,x17412)+E(f686(x17413,x17414,x17415,x17411),f686(x17413,x17414,x17415,x17412)) % 194.45/194.29 [1742]~E(x17421,x17422)+E(f600(x17421,x17423,x17424,x17425),f600(x17422,x17423,x17424,x17425)) % 194.45/194.29 [1743]~E(x17431,x17432)+E(f600(x17433,x17431,x17434,x17435),f600(x17433,x17432,x17434,x17435)) % 194.45/194.29 [1744]~E(x17441,x17442)+E(f600(x17443,x17444,x17441,x17445),f600(x17443,x17444,x17442,x17445)) % 194.45/194.29 [1745]~E(x17451,x17452)+E(f600(x17453,x17454,x17455,x17451),f600(x17453,x17454,x17455,x17452)) % 194.45/194.29 [1746]~E(x17461,x17462)+E(f768(x17461,x17463,x17464),f768(x17462,x17463,x17464)) % 194.45/194.29 [1747]~E(x17471,x17472)+E(f768(x17473,x17471,x17474),f768(x17473,x17472,x17474)) % 194.45/194.29 [1748]~E(x17481,x17482)+E(f768(x17483,x17484,x17481),f768(x17483,x17484,x17482)) % 194.45/194.29 [1749]~E(x17491,x17492)+E(f390(x17491),f390(x17492)) % 194.45/194.29 [1750]~E(x17501,x17502)+E(f769(x17501,x17503),f769(x17502,x17503)) % 194.45/194.29 [1751]~E(x17511,x17512)+E(f769(x17513,x17511),f769(x17513,x17512)) % 194.45/194.29 [1752]~E(x17521,x17522)+E(f714(x17521,x17523,x17524,x17525),f714(x17522,x17523,x17524,x17525)) % 194.45/194.29 [1753]~E(x17531,x17532)+E(f714(x17533,x17531,x17534,x17535),f714(x17533,x17532,x17534,x17535)) % 194.45/194.29 [1754]~E(x17541,x17542)+E(f714(x17543,x17544,x17541,x17545),f714(x17543,x17544,x17542,x17545)) % 194.45/194.29 [1755]~E(x17551,x17552)+E(f714(x17553,x17554,x17555,x17551),f714(x17553,x17554,x17555,x17552)) % 194.45/194.29 [1756]~E(x17561,x17562)+E(f525(x17561,x17563,x17564),f525(x17562,x17563,x17564)) % 194.45/194.29 [1757]~E(x17571,x17572)+E(f525(x17573,x17571,x17574),f525(x17573,x17572,x17574)) % 194.45/194.29 [1758]~E(x17581,x17582)+E(f525(x17583,x17584,x17581),f525(x17583,x17584,x17582)) % 194.45/194.29 [1759]~E(x17591,x17592)+E(f540(x17591,x17593,x17594,x17595),f540(x17592,x17593,x17594,x17595)) % 194.45/194.29 [1760]~E(x17601,x17602)+E(f540(x17603,x17601,x17604,x17605),f540(x17603,x17602,x17604,x17605)) % 194.45/194.29 [1761]~E(x17611,x17612)+E(f540(x17613,x17614,x17611,x17615),f540(x17613,x17614,x17612,x17615)) % 194.45/194.29 [1762]~E(x17621,x17622)+E(f540(x17623,x17624,x17625,x17621),f540(x17623,x17624,x17625,x17622)) % 194.45/194.29 [1763]~E(x17631,x17632)+E(f662(x17631,x17633,x17634,x17635,x17636),f662(x17632,x17633,x17634,x17635,x17636)) % 194.45/194.29 [1764]~E(x17641,x17642)+E(f662(x17643,x17641,x17644,x17645,x17646),f662(x17643,x17642,x17644,x17645,x17646)) % 194.45/194.29 [1765]~E(x17651,x17652)+E(f662(x17653,x17654,x17651,x17655,x17656),f662(x17653,x17654,x17652,x17655,x17656)) % 194.45/194.29 [1766]~E(x17661,x17662)+E(f662(x17663,x17664,x17665,x17661,x17666),f662(x17663,x17664,x17665,x17662,x17666)) % 194.45/194.29 [1767]~E(x17671,x17672)+E(f662(x17673,x17674,x17675,x17676,x17671),f662(x17673,x17674,x17675,x17676,x17672)) % 194.45/194.29 [1768]~E(x17681,x17682)+E(f647(x17681,x17683,x17684),f647(x17682,x17683,x17684)) % 194.45/194.29 [1769]~E(x17691,x17692)+E(f647(x17693,x17691,x17694),f647(x17693,x17692,x17694)) % 194.45/194.29 [1770]~E(x17701,x17702)+E(f647(x17703,x17704,x17701),f647(x17703,x17704,x17702)) % 194.45/194.29 [1771]~E(x17711,x17712)+E(f618(x17711,x17713,x17714,x17715,x17716),f618(x17712,x17713,x17714,x17715,x17716)) % 194.45/194.29 [1772]~E(x17721,x17722)+E(f618(x17723,x17721,x17724,x17725,x17726),f618(x17723,x17722,x17724,x17725,x17726)) % 194.45/194.29 [1773]~E(x17731,x17732)+E(f618(x17733,x17734,x17731,x17735,x17736),f618(x17733,x17734,x17732,x17735,x17736)) % 194.45/194.29 [1774]~E(x17741,x17742)+E(f618(x17743,x17744,x17745,x17741,x17746),f618(x17743,x17744,x17745,x17742,x17746)) % 194.45/194.29 [1775]~E(x17751,x17752)+E(f618(x17753,x17754,x17755,x17756,x17751),f618(x17753,x17754,x17755,x17756,x17752)) % 194.45/194.29 [1776]~E(x17761,x17762)+E(f378(x17761),f378(x17762)) % 194.45/194.29 [1777]~E(x17771,x17772)+E(f879(x17771,x17773,x17774,x17775,x17776),f879(x17772,x17773,x17774,x17775,x17776)) % 194.45/194.29 [1778]~E(x17781,x17782)+E(f879(x17783,x17781,x17784,x17785,x17786),f879(x17783,x17782,x17784,x17785,x17786)) % 194.45/194.29 [1779]~E(x17791,x17792)+E(f879(x17793,x17794,x17791,x17795,x17796),f879(x17793,x17794,x17792,x17795,x17796)) % 194.45/194.29 [1780]~E(x17801,x17802)+E(f879(x17803,x17804,x17805,x17801,x17806),f879(x17803,x17804,x17805,x17802,x17806)) % 194.45/194.29 [1781]~E(x17811,x17812)+E(f879(x17813,x17814,x17815,x17816,x17811),f879(x17813,x17814,x17815,x17816,x17812)) % 194.45/194.29 [1782]~E(x17821,x17822)+E(f568(x17821),f568(x17822)) % 194.45/194.29 [1783]~E(x17831,x17832)+E(f360(x17831,x17833,x17834),f360(x17832,x17833,x17834)) % 194.45/194.29 [1784]~E(x17841,x17842)+E(f360(x17843,x17841,x17844),f360(x17843,x17842,x17844)) % 194.45/194.29 [1785]~E(x17851,x17852)+E(f360(x17853,x17854,x17851),f360(x17853,x17854,x17852)) % 194.45/194.29 [1786]~E(x17861,x17862)+E(f705(x17861,x17863),f705(x17862,x17863)) % 194.45/194.29 [1787]~E(x17871,x17872)+E(f705(x17873,x17871),f705(x17873,x17872)) % 194.45/194.29 [1788]~E(x17881,x17882)+E(f476(x17881,x17883,x17884),f476(x17882,x17883,x17884)) % 194.45/194.29 [1789]~E(x17891,x17892)+E(f476(x17893,x17891,x17894),f476(x17893,x17892,x17894)) % 194.45/194.29 [1790]~E(x17901,x17902)+E(f476(x17903,x17904,x17901),f476(x17903,x17904,x17902)) % 194.45/194.29 [1791]~E(x17911,x17912)+E(f910(x17911,x17913,x17914),f910(x17912,x17913,x17914)) % 194.45/194.29 [1792]~E(x17921,x17922)+E(f910(x17923,x17921,x17924),f910(x17923,x17922,x17924)) % 194.45/194.29 [1793]~E(x17931,x17932)+E(f910(x17933,x17934,x17931),f910(x17933,x17934,x17932)) % 194.45/194.29 [1794]~E(x17941,x17942)+E(f738(x17941,x17943),f738(x17942,x17943)) % 194.45/194.29 [1795]~E(x17951,x17952)+E(f738(x17953,x17951),f738(x17953,x17952)) % 194.45/194.29 [1796]~E(x17961,x17962)+E(f507(x17961,x17963,x17964,x17965),f507(x17962,x17963,x17964,x17965)) % 194.45/194.29 [1797]~E(x17971,x17972)+E(f507(x17973,x17971,x17974,x17975),f507(x17973,x17972,x17974,x17975)) % 194.45/194.29 [1798]~E(x17981,x17982)+E(f507(x17983,x17984,x17981,x17985),f507(x17983,x17984,x17982,x17985)) % 194.45/194.29 [1799]~E(x17991,x17992)+E(f507(x17993,x17994,x17995,x17991),f507(x17993,x17994,x17995,x17992)) % 194.45/194.29 [1800]~E(x18001,x18002)+E(f833(x18001,x18003),f833(x18002,x18003)) % 194.45/194.29 [1801]~E(x18011,x18012)+E(f833(x18013,x18011),f833(x18013,x18012)) % 194.45/194.29 [1802]~E(x18021,x18022)+E(f492(x18021,x18023),f492(x18022,x18023)) % 194.45/194.29 [1803]~E(x18031,x18032)+E(f492(x18033,x18031),f492(x18033,x18032)) % 194.45/194.29 [1804]~E(x18041,x18042)+E(f278(x18041,x18043,x18044,x18045),f278(x18042,x18043,x18044,x18045)) % 194.45/194.29 [1805]~E(x18051,x18052)+E(f278(x18053,x18051,x18054,x18055),f278(x18053,x18052,x18054,x18055)) % 194.45/194.29 [1806]~E(x18061,x18062)+E(f278(x18063,x18064,x18061,x18065),f278(x18063,x18064,x18062,x18065)) % 194.45/194.29 [1807]~E(x18071,x18072)+E(f278(x18073,x18074,x18075,x18071),f278(x18073,x18074,x18075,x18072)) % 194.45/194.29 [1808]~E(x18081,x18082)+E(f765(x18081,x18083,x18084,x18085),f765(x18082,x18083,x18084,x18085)) % 194.45/194.29 [1809]~E(x18091,x18092)+E(f765(x18093,x18091,x18094,x18095),f765(x18093,x18092,x18094,x18095)) % 194.45/194.29 [1810]~E(x18101,x18102)+E(f765(x18103,x18104,x18101,x18105),f765(x18103,x18104,x18102,x18105)) % 194.45/194.29 [1811]~E(x18111,x18112)+E(f765(x18113,x18114,x18115,x18111),f765(x18113,x18114,x18115,x18112)) % 194.45/194.29 [1812]~E(x18121,x18122)+E(f689(x18121,x18123,x18124),f689(x18122,x18123,x18124)) % 194.45/194.29 [1813]~E(x18131,x18132)+E(f689(x18133,x18131,x18134),f689(x18133,x18132,x18134)) % 194.45/194.29 [1814]~E(x18141,x18142)+E(f689(x18143,x18144,x18141),f689(x18143,x18144,x18142)) % 194.45/194.29 [1815]~E(x18151,x18152)+E(f680(x18151,x18153,x18154,x18155,x18156,x18157),f680(x18152,x18153,x18154,x18155,x18156,x18157)) % 194.45/194.29 [1816]~E(x18161,x18162)+E(f680(x18163,x18161,x18164,x18165,x18166,x18167),f680(x18163,x18162,x18164,x18165,x18166,x18167)) % 194.45/194.29 [1817]~E(x18171,x18172)+E(f680(x18173,x18174,x18171,x18175,x18176,x18177),f680(x18173,x18174,x18172,x18175,x18176,x18177)) % 194.45/194.29 [1818]~E(x18181,x18182)+E(f680(x18183,x18184,x18185,x18181,x18186,x18187),f680(x18183,x18184,x18185,x18182,x18186,x18187)) % 194.45/194.29 [1819]~E(x18191,x18192)+E(f680(x18193,x18194,x18195,x18196,x18191,x18197),f680(x18193,x18194,x18195,x18196,x18192,x18197)) % 194.45/194.29 [1820]~E(x18201,x18202)+E(f680(x18203,x18204,x18205,x18206,x18207,x18201),f680(x18203,x18204,x18205,x18206,x18207,x18202)) % 194.45/194.29 [1821]~E(x18211,x18212)+E(f669(x18211,x18213,x18214,x18215,x18216),f669(x18212,x18213,x18214,x18215,x18216)) % 194.45/194.29 [1822]~E(x18221,x18222)+E(f669(x18223,x18221,x18224,x18225,x18226),f669(x18223,x18222,x18224,x18225,x18226)) % 194.45/194.29 [1823]~E(x18231,x18232)+E(f669(x18233,x18234,x18231,x18235,x18236),f669(x18233,x18234,x18232,x18235,x18236)) % 194.45/194.29 [1824]~E(x18241,x18242)+E(f669(x18243,x18244,x18245,x18241,x18246),f669(x18243,x18244,x18245,x18242,x18246)) % 194.45/194.29 [1825]~E(x18251,x18252)+E(f669(x18253,x18254,x18255,x18256,x18251),f669(x18253,x18254,x18255,x18256,x18252)) % 194.45/194.29 [1826]~E(x18261,x18262)+E(f428(x18261,x18263,x18264,x18265,x18266),f428(x18262,x18263,x18264,x18265,x18266)) % 194.45/194.29 [1827]~E(x18271,x18272)+E(f428(x18273,x18271,x18274,x18275,x18276),f428(x18273,x18272,x18274,x18275,x18276)) % 194.45/194.29 [1828]~E(x18281,x18282)+E(f428(x18283,x18284,x18281,x18285,x18286),f428(x18283,x18284,x18282,x18285,x18286)) % 194.45/194.29 [1829]~E(x18291,x18292)+E(f428(x18293,x18294,x18295,x18291,x18296),f428(x18293,x18294,x18295,x18292,x18296)) % 194.45/194.29 [1830]~E(x18301,x18302)+E(f428(x18303,x18304,x18305,x18306,x18301),f428(x18303,x18304,x18305,x18306,x18302)) % 194.45/194.29 [1831]~E(x18311,x18312)+E(f521(x18311,x18313,x18314,x18315,x18316,x18317),f521(x18312,x18313,x18314,x18315,x18316,x18317)) % 194.45/194.29 [1832]~E(x18321,x18322)+E(f521(x18323,x18321,x18324,x18325,x18326,x18327),f521(x18323,x18322,x18324,x18325,x18326,x18327)) % 194.45/194.29 [1833]~E(x18331,x18332)+E(f521(x18333,x18334,x18331,x18335,x18336,x18337),f521(x18333,x18334,x18332,x18335,x18336,x18337)) % 194.45/194.29 [1834]~E(x18341,x18342)+E(f521(x18343,x18344,x18345,x18341,x18346,x18347),f521(x18343,x18344,x18345,x18342,x18346,x18347)) % 194.45/194.29 [1835]~E(x18351,x18352)+E(f521(x18353,x18354,x18355,x18356,x18351,x18357),f521(x18353,x18354,x18355,x18356,x18352,x18357)) % 194.45/194.29 [1836]~E(x18361,x18362)+E(f521(x18363,x18364,x18365,x18366,x18367,x18361),f521(x18363,x18364,x18365,x18366,x18367,x18362)) % 194.45/194.29 [1837]~E(x18371,x18372)+E(f643(x18371,x18373,x18374),f643(x18372,x18373,x18374)) % 194.45/194.29 [1838]~E(x18381,x18382)+E(f643(x18383,x18381,x18384),f643(x18383,x18382,x18384)) % 194.45/194.29 [1839]~E(x18391,x18392)+E(f643(x18393,x18394,x18391),f643(x18393,x18394,x18392)) % 194.45/194.29 [1840]~E(x18401,x18402)+E(f275(x18401,x18403,x18404,x18405),f275(x18402,x18403,x18404,x18405)) % 194.45/194.29 [1841]~E(x18411,x18412)+E(f275(x18413,x18411,x18414,x18415),f275(x18413,x18412,x18414,x18415)) % 194.45/194.29 [1842]~E(x18421,x18422)+E(f275(x18423,x18424,x18421,x18425),f275(x18423,x18424,x18422,x18425)) % 194.45/194.29 [1843]~E(x18431,x18432)+E(f275(x18433,x18434,x18435,x18431),f275(x18433,x18434,x18435,x18432)) % 194.45/194.29 [1844]~E(x18441,x18442)+E(f565(x18441,x18443,x18444,x18445,x18446),f565(x18442,x18443,x18444,x18445,x18446)) % 194.45/194.29 [1845]~E(x18451,x18452)+E(f565(x18453,x18451,x18454,x18455,x18456),f565(x18453,x18452,x18454,x18455,x18456)) % 194.45/194.29 [1846]~E(x18461,x18462)+E(f565(x18463,x18464,x18461,x18465,x18466),f565(x18463,x18464,x18462,x18465,x18466)) % 194.45/194.29 [1847]~E(x18471,x18472)+E(f565(x18473,x18474,x18475,x18471,x18476),f565(x18473,x18474,x18475,x18472,x18476)) % 194.45/194.29 [1848]~E(x18481,x18482)+E(f565(x18483,x18484,x18485,x18486,x18481),f565(x18483,x18484,x18485,x18486,x18482)) % 194.45/194.29 [1849]~E(x18491,x18492)+E(f794(x18491,x18493,x18494),f794(x18492,x18493,x18494)) % 194.45/194.29 [1850]~E(x18501,x18502)+E(f794(x18503,x18501,x18504),f794(x18503,x18502,x18504)) % 194.45/194.29 [1851]~E(x18511,x18512)+E(f794(x18513,x18514,x18511),f794(x18513,x18514,x18512)) % 194.45/194.29 [1852]~E(x18521,x18522)+E(f850(x18521,x18523),f850(x18522,x18523)) % 194.45/194.29 [1853]~E(x18531,x18532)+E(f850(x18533,x18531),f850(x18533,x18532)) % 194.45/194.29 [1854]~E(x18541,x18542)+E(f42(x18541),f42(x18542)) % 194.45/194.29 [1855]~E(x18551,x18552)+E(f336(x18551,x18553,x18554),f336(x18552,x18553,x18554)) % 194.45/194.29 [1856]~E(x18561,x18562)+E(f336(x18563,x18561,x18564),f336(x18563,x18562,x18564)) % 194.45/194.29 [1857]~E(x18571,x18572)+E(f336(x18573,x18574,x18571),f336(x18573,x18574,x18572)) % 194.45/194.29 [1858]~E(x18581,x18582)+E(f810(x18581,x18583,x18584,x18585),f810(x18582,x18583,x18584,x18585)) % 194.45/194.29 [1859]~E(x18591,x18592)+E(f810(x18593,x18591,x18594,x18595),f810(x18593,x18592,x18594,x18595)) % 194.45/194.29 [1860]~E(x18601,x18602)+E(f810(x18603,x18604,x18601,x18605),f810(x18603,x18604,x18602,x18605)) % 194.45/194.29 [1861]~E(x18611,x18612)+E(f810(x18613,x18614,x18615,x18611),f810(x18613,x18614,x18615,x18612)) % 194.45/194.29 [1862]~E(x18621,x18622)+E(f663(x18621,x18623,x18624),f663(x18622,x18623,x18624)) % 194.45/194.29 [1863]~E(x18631,x18632)+E(f663(x18633,x18631,x18634),f663(x18633,x18632,x18634)) % 194.45/194.29 [1864]~E(x18641,x18642)+E(f663(x18643,x18644,x18641),f663(x18643,x18644,x18642)) % 194.45/194.29 [1865]~E(x18651,x18652)+E(f358(x18651,x18653,x18654),f358(x18652,x18653,x18654)) % 194.45/194.29 [1866]~E(x18661,x18662)+E(f358(x18663,x18661,x18664),f358(x18663,x18662,x18664)) % 194.45/194.29 [1867]~E(x18671,x18672)+E(f358(x18673,x18674,x18671),f358(x18673,x18674,x18672)) % 194.45/194.29 [1868]~E(x18681,x18682)+E(f62(x18681,x18683,x18684),f62(x18682,x18683,x18684)) % 194.45/194.29 [1869]~E(x18691,x18692)+E(f62(x18693,x18691,x18694),f62(x18693,x18692,x18694)) % 194.45/194.29 [1870]~E(x18701,x18702)+E(f62(x18703,x18704,x18701),f62(x18703,x18704,x18702)) % 194.45/194.29 [1871]~E(x18711,x18712)+E(f827(x18711,x18713,x18714,x18715),f827(x18712,x18713,x18714,x18715)) % 194.45/194.29 [1872]~E(x18721,x18722)+E(f827(x18723,x18721,x18724,x18725),f827(x18723,x18722,x18724,x18725)) % 194.45/194.29 [1873]~E(x18731,x18732)+E(f827(x18733,x18734,x18731,x18735),f827(x18733,x18734,x18732,x18735)) % 194.45/194.29 [1874]~E(x18741,x18742)+E(f827(x18743,x18744,x18745,x18741),f827(x18743,x18744,x18745,x18742)) % 194.45/194.29 [1875]~E(x18751,x18752)+E(f563(x18751,x18753),f563(x18752,x18753)) % 194.45/194.29 [1876]~E(x18761,x18762)+E(f563(x18763,x18761),f563(x18763,x18762)) % 194.45/194.29 [1877]~E(x18771,x18772)+E(f532(x18771,x18773,x18774,x18775),f532(x18772,x18773,x18774,x18775)) % 194.45/194.29 [1878]~E(x18781,x18782)+E(f532(x18783,x18781,x18784,x18785),f532(x18783,x18782,x18784,x18785)) % 194.45/194.29 [1879]~E(x18791,x18792)+E(f532(x18793,x18794,x18791,x18795),f532(x18793,x18794,x18792,x18795)) % 194.45/194.29 [1880]~E(x18801,x18802)+E(f532(x18803,x18804,x18805,x18801),f532(x18803,x18804,x18805,x18802)) % 194.45/194.29 [1881]~E(x18811,x18812)+E(f740(x18811,x18813,x18814),f740(x18812,x18813,x18814)) % 194.45/194.29 [1882]~E(x18821,x18822)+E(f740(x18823,x18821,x18824),f740(x18823,x18822,x18824)) % 194.45/194.29 [1883]~E(x18831,x18832)+E(f740(x18833,x18834,x18831),f740(x18833,x18834,x18832)) % 194.45/194.29 [1884]~E(x18841,x18842)+E(f634(x18841,x18843,x18844,x18845,x18846,x18847),f634(x18842,x18843,x18844,x18845,x18846,x18847)) % 194.45/194.29 [1885]~E(x18851,x18852)+E(f634(x18853,x18851,x18854,x18855,x18856,x18857),f634(x18853,x18852,x18854,x18855,x18856,x18857)) % 194.45/194.29 [1886]~E(x18861,x18862)+E(f634(x18863,x18864,x18861,x18865,x18866,x18867),f634(x18863,x18864,x18862,x18865,x18866,x18867)) % 194.45/194.29 [1887]~E(x18871,x18872)+E(f634(x18873,x18874,x18875,x18871,x18876,x18877),f634(x18873,x18874,x18875,x18872,x18876,x18877)) % 194.45/194.29 [1888]~E(x18881,x18882)+E(f634(x18883,x18884,x18885,x18886,x18881,x18887),f634(x18883,x18884,x18885,x18886,x18882,x18887)) % 194.45/194.29 [1889]~E(x18891,x18892)+E(f634(x18893,x18894,x18895,x18896,x18897,x18891),f634(x18893,x18894,x18895,x18896,x18897,x18892)) % 194.45/194.29 [1890]~E(x18901,x18902)+E(f174(x18901,x18903,x18904),f174(x18902,x18903,x18904)) % 194.45/194.29 [1891]~E(x18911,x18912)+E(f174(x18913,x18911,x18914),f174(x18913,x18912,x18914)) % 194.45/194.29 [1892]~E(x18921,x18922)+E(f174(x18923,x18924,x18921),f174(x18923,x18924,x18922)) % 194.45/194.29 [1893]~E(x18931,x18932)+E(f459(x18931,x18933,x18934),f459(x18932,x18933,x18934)) % 194.45/194.29 [1894]~E(x18941,x18942)+E(f459(x18943,x18941,x18944),f459(x18943,x18942,x18944)) % 194.45/194.29 [1895]~E(x18951,x18952)+E(f459(x18953,x18954,x18951),f459(x18953,x18954,x18952)) % 194.45/194.29 [1896]~E(x18961,x18962)+E(f684(x18961,x18963,x18964,x18965,x18966),f684(x18962,x18963,x18964,x18965,x18966)) % 194.45/194.29 [1897]~E(x18971,x18972)+E(f684(x18973,x18971,x18974,x18975,x18976),f684(x18973,x18972,x18974,x18975,x18976)) % 194.45/194.29 [1898]~E(x18981,x18982)+E(f684(x18983,x18984,x18981,x18985,x18986),f684(x18983,x18984,x18982,x18985,x18986)) % 194.45/194.29 [1899]~E(x18991,x18992)+E(f684(x18993,x18994,x18995,x18991,x18996),f684(x18993,x18994,x18995,x18992,x18996)) % 194.45/194.29 [1900]~E(x19001,x19002)+E(f684(x19003,x19004,x19005,x19006,x19001),f684(x19003,x19004,x19005,x19006,x19002)) % 194.45/194.29 [1901]~E(x19011,x19012)+E(f529(x19011,x19013,x19014,x19015,x19016),f529(x19012,x19013,x19014,x19015,x19016)) % 194.45/194.29 [1902]~E(x19021,x19022)+E(f529(x19023,x19021,x19024,x19025,x19026),f529(x19023,x19022,x19024,x19025,x19026)) % 194.45/194.29 [1903]~E(x19031,x19032)+E(f529(x19033,x19034,x19031,x19035,x19036),f529(x19033,x19034,x19032,x19035,x19036)) % 194.45/194.29 [1904]~E(x19041,x19042)+E(f529(x19043,x19044,x19045,x19041,x19046),f529(x19043,x19044,x19045,x19042,x19046)) % 194.45/194.29 [1905]~E(x19051,x19052)+E(f529(x19053,x19054,x19055,x19056,x19051),f529(x19053,x19054,x19055,x19056,x19052)) % 194.45/194.29 [1906]~E(x19061,x19062)+E(f717(x19061,x19063,x19064,x19065),f717(x19062,x19063,x19064,x19065)) % 194.45/194.29 [1907]~E(x19071,x19072)+E(f717(x19073,x19071,x19074,x19075),f717(x19073,x19072,x19074,x19075)) % 194.45/194.29 [1908]~E(x19081,x19082)+E(f717(x19083,x19084,x19081,x19085),f717(x19083,x19084,x19082,x19085)) % 194.45/194.29 [1909]~E(x19091,x19092)+E(f717(x19093,x19094,x19095,x19091),f717(x19093,x19094,x19095,x19092)) % 194.45/194.29 [1910]~E(x19101,x19102)+E(f44(x19101),f44(x19102)) % 194.45/194.29 [1911]~E(x19111,x19112)+E(f644(x19111,x19113),f644(x19112,x19113)) % 194.45/194.29 [1912]~E(x19121,x19122)+E(f644(x19123,x19121),f644(x19123,x19122)) % 194.45/194.29 [1913]~E(x19131,x19132)+E(f690(x19131,x19133,x19134),f690(x19132,x19133,x19134)) % 194.45/194.29 [1914]~E(x19141,x19142)+E(f690(x19143,x19141,x19144),f690(x19143,x19142,x19144)) % 194.45/194.29 [1915]~E(x19151,x19152)+E(f690(x19153,x19154,x19151),f690(x19153,x19154,x19152)) % 194.45/194.29 [1916]~E(x19161,x19162)+E(f814(x19161,x19163),f814(x19162,x19163)) % 194.45/194.29 [1917]~E(x19171,x19172)+E(f814(x19173,x19171),f814(x19173,x19172)) % 194.45/194.29 [1918]~E(x19181,x19182)+E(f679(x19181,x19183,x19184,x19185,x19186,x19187),f679(x19182,x19183,x19184,x19185,x19186,x19187)) % 194.45/194.29 [1919]~E(x19191,x19192)+E(f679(x19193,x19191,x19194,x19195,x19196,x19197),f679(x19193,x19192,x19194,x19195,x19196,x19197)) % 194.45/194.29 [1920]~E(x19201,x19202)+E(f679(x19203,x19204,x19201,x19205,x19206,x19207),f679(x19203,x19204,x19202,x19205,x19206,x19207)) % 194.45/194.29 [1921]~E(x19211,x19212)+E(f679(x19213,x19214,x19215,x19211,x19216,x19217),f679(x19213,x19214,x19215,x19212,x19216,x19217)) % 194.45/194.29 [1922]~E(x19221,x19222)+E(f679(x19223,x19224,x19225,x19226,x19221,x19227),f679(x19223,x19224,x19225,x19226,x19222,x19227)) % 194.45/194.29 [1923]~E(x19231,x19232)+E(f679(x19233,x19234,x19235,x19236,x19237,x19231),f679(x19233,x19234,x19235,x19236,x19237,x19232)) % 194.45/194.29 [1924]~E(x19241,x19242)+E(f834(x19241,x19243),f834(x19242,x19243)) % 194.45/194.29 [1925]~E(x19251,x19252)+E(f834(x19253,x19251),f834(x19253,x19252)) % 194.45/194.29 [1926]~E(x19261,x19262)+E(f467(x19261,x19263,x19264),f467(x19262,x19263,x19264)) % 194.45/194.29 [1927]~E(x19271,x19272)+E(f467(x19273,x19271,x19274),f467(x19273,x19272,x19274)) % 194.45/194.29 [1928]~E(x19281,x19282)+E(f467(x19283,x19284,x19281),f467(x19283,x19284,x19282)) % 194.45/194.29 [1929]~E(x19291,x19292)+E(f352(x19291,x19293,x19294,x19295,x19296),f352(x19292,x19293,x19294,x19295,x19296)) % 194.45/194.29 [1930]~E(x19301,x19302)+E(f352(x19303,x19301,x19304,x19305,x19306),f352(x19303,x19302,x19304,x19305,x19306)) % 194.45/194.29 [1931]~E(x19311,x19312)+E(f352(x19313,x19314,x19311,x19315,x19316),f352(x19313,x19314,x19312,x19315,x19316)) % 194.45/194.29 [1932]~E(x19321,x19322)+E(f352(x19323,x19324,x19325,x19321,x19326),f352(x19323,x19324,x19325,x19322,x19326)) % 194.45/194.29 [1933]~E(x19331,x19332)+E(f352(x19333,x19334,x19335,x19336,x19331),f352(x19333,x19334,x19335,x19336,x19332)) % 194.45/194.29 [1934]~E(x19341,x19342)+E(f149(x19341,x19343,x19344,x19345,x19346),f149(x19342,x19343,x19344,x19345,x19346)) % 194.45/194.29 [1935]~E(x19351,x19352)+E(f149(x19353,x19351,x19354,x19355,x19356),f149(x19353,x19352,x19354,x19355,x19356)) % 194.45/194.29 [1936]~E(x19361,x19362)+E(f149(x19363,x19364,x19361,x19365,x19366),f149(x19363,x19364,x19362,x19365,x19366)) % 194.45/194.29 [1937]~E(x19371,x19372)+E(f149(x19373,x19374,x19375,x19371,x19376),f149(x19373,x19374,x19375,x19372,x19376)) % 194.45/194.29 [1938]~E(x19381,x19382)+E(f149(x19383,x19384,x19385,x19386,x19381),f149(x19383,x19384,x19385,x19386,x19382)) % 194.45/194.29 [1939]~E(x19391,x19392)+E(f288(x19391,x19393),f288(x19392,x19393)) % 194.45/194.29 [1940]~E(x19401,x19402)+E(f288(x19403,x19401),f288(x19403,x19402)) % 194.45/194.29 [1941]~E(x19411,x19412)+E(f124(x19411),f124(x19412)) % 194.45/194.29 [1942]~E(x19421,x19422)+E(f698(x19421,x19423,x19424,x19425),f698(x19422,x19423,x19424,x19425)) % 194.45/194.29 [1943]~E(x19431,x19432)+E(f698(x19433,x19431,x19434,x19435),f698(x19433,x19432,x19434,x19435)) % 194.45/194.29 [1944]~E(x19441,x19442)+E(f698(x19443,x19444,x19441,x19445),f698(x19443,x19444,x19442,x19445)) % 194.45/194.29 [1945]~E(x19451,x19452)+E(f698(x19453,x19454,x19455,x19451),f698(x19453,x19454,x19455,x19452)) % 194.45/194.29 [1946]~E(x19461,x19462)+E(f617(x19461,x19463,x19464),f617(x19462,x19463,x19464)) % 194.45/194.29 [1947]~E(x19471,x19472)+E(f617(x19473,x19471,x19474),f617(x19473,x19472,x19474)) % 194.45/194.29 [1948]~E(x19481,x19482)+E(f617(x19483,x19484,x19481),f617(x19483,x19484,x19482)) % 194.45/194.29 [1949]~E(x19491,x19492)+E(f649(x19491,x19493,x19494),f649(x19492,x19493,x19494)) % 194.45/194.29 [1950]~E(x19501,x19502)+E(f649(x19503,x19501,x19504),f649(x19503,x19502,x19504)) % 194.45/194.29 [1951]~E(x19511,x19512)+E(f649(x19513,x19514,x19511),f649(x19513,x19514,x19512)) % 194.45/194.29 [1952]~E(x19521,x19522)+E(f886(x19521,x19523),f886(x19522,x19523)) % 194.45/194.29 [1953]~E(x19531,x19532)+E(f886(x19533,x19531),f886(x19533,x19532)) % 194.45/194.29 [1954]~E(x19541,x19542)+E(f206(x19541,x19543,x19544,x19545),f206(x19542,x19543,x19544,x19545)) % 194.45/194.29 [1955]~E(x19551,x19552)+E(f206(x19553,x19551,x19554,x19555),f206(x19553,x19552,x19554,x19555)) % 194.45/194.29 [1956]~E(x19561,x19562)+E(f206(x19563,x19564,x19561,x19565),f206(x19563,x19564,x19562,x19565)) % 194.45/194.29 [1957]~E(x19571,x19572)+E(f206(x19573,x19574,x19575,x19571),f206(x19573,x19574,x19575,x19572)) % 194.45/194.29 [1958]~E(x19581,x19582)+E(f826(x19581,x19583,x19584),f826(x19582,x19583,x19584)) % 194.45/194.29 [1959]~E(x19591,x19592)+E(f826(x19593,x19591,x19594),f826(x19593,x19592,x19594)) % 194.45/194.29 [1960]~E(x19601,x19602)+E(f826(x19603,x19604,x19601),f826(x19603,x19604,x19602)) % 194.45/194.29 [1961]~E(x19611,x19612)+E(f515(x19611,x19613,x19614),f515(x19612,x19613,x19614)) % 194.45/194.29 [1962]~E(x19621,x19622)+E(f515(x19623,x19621,x19624),f515(x19623,x19622,x19624)) % 194.45/194.29 [1963]~E(x19631,x19632)+E(f515(x19633,x19634,x19631),f515(x19633,x19634,x19632)) % 194.45/194.29 [1964]~E(x19641,x19642)+E(f693(x19641,x19643,x19644),f693(x19642,x19643,x19644)) % 194.45/194.29 [1965]~E(x19651,x19652)+E(f693(x19653,x19651,x19654),f693(x19653,x19652,x19654)) % 194.45/194.29 [1966]~E(x19661,x19662)+E(f693(x19663,x19664,x19661),f693(x19663,x19664,x19662)) % 194.45/194.29 [1967]~E(x19671,x19672)+E(f821(x19671,x19673),f821(x19672,x19673)) % 194.45/194.29 [1968]~E(x19681,x19682)+E(f821(x19683,x19681),f821(x19683,x19682)) % 194.45/194.29 [1969]~E(x19691,x19692)+E(f716(x19691,x19693,x19694,x19695),f716(x19692,x19693,x19694,x19695)) % 194.45/194.29 [1970]~E(x19701,x19702)+E(f716(x19703,x19701,x19704,x19705),f716(x19703,x19702,x19704,x19705)) % 194.45/194.29 [1971]~E(x19711,x19712)+E(f716(x19713,x19714,x19711,x19715),f716(x19713,x19714,x19712,x19715)) % 194.45/194.29 [1972]~E(x19721,x19722)+E(f716(x19723,x19724,x19725,x19721),f716(x19723,x19724,x19725,x19722)) % 194.45/194.29 [1973]~E(x19731,x19732)+E(f878(x19731,x19733),f878(x19732,x19733)) % 194.45/194.29 [1974]~E(x19741,x19742)+E(f878(x19743,x19741),f878(x19743,x19742)) % 194.45/194.29 [1975]~E(x19751,x19752)+E(f755(x19751,x19753),f755(x19752,x19753)) % 194.45/194.29 [1976]~E(x19761,x19762)+E(f755(x19763,x19761),f755(x19763,x19762)) % 194.45/194.29 [1977]~E(x19771,x19772)+E(f359(x19771,x19773,x19774),f359(x19772,x19773,x19774)) % 194.45/194.29 [1978]~E(x19781,x19782)+E(f359(x19783,x19781,x19784),f359(x19783,x19782,x19784)) % 194.45/194.29 [1979]~E(x19791,x19792)+E(f359(x19793,x19794,x19791),f359(x19793,x19794,x19792)) % 194.45/194.29 [1980]~E(x19801,x19802)+E(f527(x19801,x19803,x19804),f527(x19802,x19803,x19804)) % 194.45/194.29 [1981]~E(x19811,x19812)+E(f527(x19813,x19811,x19814),f527(x19813,x19812,x19814)) % 194.45/194.29 [1982]~E(x19821,x19822)+E(f527(x19823,x19824,x19821),f527(x19823,x19824,x19822)) % 194.45/194.29 [1983]~E(x19831,x19832)+E(f781(x19831,x19833,x19834),f781(x19832,x19833,x19834)) % 194.45/194.29 [1984]~E(x19841,x19842)+E(f781(x19843,x19841,x19844),f781(x19843,x19842,x19844)) % 194.45/194.29 [1985]~E(x19851,x19852)+E(f781(x19853,x19854,x19851),f781(x19853,x19854,x19852)) % 194.45/194.29 [1986]~E(x19861,x19862)+E(f350(x19861,x19863,x19864,x19865,x19866),f350(x19862,x19863,x19864,x19865,x19866)) % 194.45/194.29 [1987]~E(x19871,x19872)+E(f350(x19873,x19871,x19874,x19875,x19876),f350(x19873,x19872,x19874,x19875,x19876)) % 194.45/194.29 [1988]~E(x19881,x19882)+E(f350(x19883,x19884,x19881,x19885,x19886),f350(x19883,x19884,x19882,x19885,x19886)) % 194.45/194.29 [1989]~E(x19891,x19892)+E(f350(x19893,x19894,x19895,x19891,x19896),f350(x19893,x19894,x19895,x19892,x19896)) % 194.45/194.29 [1990]~E(x19901,x19902)+E(f350(x19903,x19904,x19905,x19906,x19901),f350(x19903,x19904,x19905,x19906,x19902)) % 194.45/194.29 [1991]~E(x19911,x19912)+E(f461(x19911,x19913,x19914,x19915,x19916,x19917),f461(x19912,x19913,x19914,x19915,x19916,x19917)) % 194.45/194.29 [1992]~E(x19921,x19922)+E(f461(x19923,x19921,x19924,x19925,x19926,x19927),f461(x19923,x19922,x19924,x19925,x19926,x19927)) % 194.45/194.29 [1993]~E(x19931,x19932)+E(f461(x19933,x19934,x19931,x19935,x19936,x19937),f461(x19933,x19934,x19932,x19935,x19936,x19937)) % 194.45/194.29 [1994]~E(x19941,x19942)+E(f461(x19943,x19944,x19945,x19941,x19946,x19947),f461(x19943,x19944,x19945,x19942,x19946,x19947)) % 194.45/194.29 [1995]~E(x19951,x19952)+E(f461(x19953,x19954,x19955,x19956,x19951,x19957),f461(x19953,x19954,x19955,x19956,x19952,x19957)) % 194.45/194.29 [1996]~E(x19961,x19962)+E(f461(x19963,x19964,x19965,x19966,x19967,x19961),f461(x19963,x19964,x19965,x19966,x19967,x19962)) % 194.45/194.29 [1997]~E(x19971,x19972)+E(f519(x19971,x19973,x19974),f519(x19972,x19973,x19974)) % 194.45/194.29 [1998]~E(x19981,x19982)+E(f519(x19983,x19981,x19984),f519(x19983,x19982,x19984)) % 194.45/194.29 [1999]~E(x19991,x19992)+E(f519(x19993,x19994,x19991),f519(x19993,x19994,x19992)) % 194.45/194.29 [2000]~E(x20001,x20002)+E(f677(x20001,x20003,x20004,x20005),f677(x20002,x20003,x20004,x20005)) % 194.45/194.29 [2001]~E(x20011,x20012)+E(f677(x20013,x20011,x20014,x20015),f677(x20013,x20012,x20014,x20015)) % 194.45/194.29 [2002]~E(x20021,x20022)+E(f677(x20023,x20024,x20021,x20025),f677(x20023,x20024,x20022,x20025)) % 194.45/194.29 [2003]~E(x20031,x20032)+E(f677(x20033,x20034,x20035,x20031),f677(x20033,x20034,x20035,x20032)) % 194.45/194.29 [2004]~E(x20041,x20042)+E(f774(x20041,x20043,x20044,x20045,x20046),f774(x20042,x20043,x20044,x20045,x20046)) % 194.45/194.29 [2005]~E(x20051,x20052)+E(f774(x20053,x20051,x20054,x20055,x20056),f774(x20053,x20052,x20054,x20055,x20056)) % 194.45/194.29 [2006]~E(x20061,x20062)+E(f774(x20063,x20064,x20061,x20065,x20066),f774(x20063,x20064,x20062,x20065,x20066)) % 194.45/194.29 [2007]~E(x20071,x20072)+E(f774(x20073,x20074,x20075,x20071,x20076),f774(x20073,x20074,x20075,x20072,x20076)) % 194.45/194.29 [2008]~E(x20081,x20082)+E(f774(x20083,x20084,x20085,x20086,x20081),f774(x20083,x20084,x20085,x20086,x20082)) % 194.45/194.29 [2009]~E(x20091,x20092)+E(f872(x20091,x20093,x20094),f872(x20092,x20093,x20094)) % 194.45/194.29 [2010]~E(x20101,x20102)+E(f872(x20103,x20101,x20104),f872(x20103,x20102,x20104)) % 194.45/194.29 [2011]~E(x20111,x20112)+E(f872(x20113,x20114,x20111),f872(x20113,x20114,x20112)) % 194.45/194.29 [2012]~E(x20121,x20122)+E(f184(x20121,x20123,x20124),f184(x20122,x20123,x20124)) % 194.45/194.29 [2013]~E(x20131,x20132)+E(f184(x20133,x20131,x20134),f184(x20133,x20132,x20134)) % 194.45/194.29 [2014]~E(x20141,x20142)+E(f184(x20143,x20144,x20141),f184(x20143,x20144,x20142)) % 194.45/194.29 [2015]~E(x20151,x20152)+E(f219(x20151,x20153),f219(x20152,x20153)) % 194.45/194.29 [2016]~E(x20161,x20162)+E(f219(x20163,x20161),f219(x20163,x20162)) % 194.45/194.29 [2017]~E(x20171,x20172)+E(f271(x20171,x20173,x20174,x20175),f271(x20172,x20173,x20174,x20175)) % 194.45/194.29 [2018]~E(x20181,x20182)+E(f271(x20183,x20181,x20184,x20185),f271(x20183,x20182,x20184,x20185)) % 194.45/194.29 [2019]~E(x20191,x20192)+E(f271(x20193,x20194,x20191,x20195),f271(x20193,x20194,x20192,x20195)) % 194.45/194.29 [2020]~E(x20201,x20202)+E(f271(x20203,x20204,x20205,x20201),f271(x20203,x20204,x20205,x20202)) % 194.45/194.29 [2021]~E(x20211,x20212)+E(f479(x20211,x20213,x20214,x20215),f479(x20212,x20213,x20214,x20215)) % 194.45/194.29 [2022]~E(x20221,x20222)+E(f479(x20223,x20221,x20224,x20225),f479(x20223,x20222,x20224,x20225)) % 194.45/194.29 [2023]~E(x20231,x20232)+E(f479(x20233,x20234,x20231,x20235),f479(x20233,x20234,x20232,x20235)) % 194.45/194.29 [2024]~E(x20241,x20242)+E(f479(x20243,x20244,x20245,x20241),f479(x20243,x20244,x20245,x20242)) % 194.45/194.29 [2025]~E(x20251,x20252)+E(f702(x20251,x20253,x20254),f702(x20252,x20253,x20254)) % 194.45/194.29 [2026]~E(x20261,x20262)+E(f702(x20263,x20261,x20264),f702(x20263,x20262,x20264)) % 194.45/194.29 [2027]~E(x20271,x20272)+E(f702(x20273,x20274,x20271),f702(x20273,x20274,x20272)) % 194.45/194.29 [2028]~E(x20281,x20282)+E(f196(x20281,x20283,x20284,x20285),f196(x20282,x20283,x20284,x20285)) % 194.45/194.29 [2029]~E(x20291,x20292)+E(f196(x20293,x20291,x20294,x20295),f196(x20293,x20292,x20294,x20295)) % 194.45/194.29 [2030]~E(x20301,x20302)+E(f196(x20303,x20304,x20301,x20305),f196(x20303,x20304,x20302,x20305)) % 194.45/194.29 [2031]~E(x20311,x20312)+E(f196(x20313,x20314,x20315,x20311),f196(x20313,x20314,x20315,x20312)) % 194.45/194.29 [2032]~E(x20321,x20322)+E(f788(x20321,x20323,x20324),f788(x20322,x20323,x20324)) % 194.45/194.29 [2033]~E(x20331,x20332)+E(f788(x20333,x20331,x20334),f788(x20333,x20332,x20334)) % 194.45/194.29 [2034]~E(x20341,x20342)+E(f788(x20343,x20344,x20341),f788(x20343,x20344,x20342)) % 194.45/194.29 [2035]~E(x20351,x20352)+E(f824(x20351,x20353),f824(x20352,x20353)) % 194.45/194.29 [2036]~E(x20361,x20362)+E(f824(x20363,x20361),f824(x20363,x20362)) % 194.45/194.29 [2037]~E(x20371,x20372)+E(f389(x20371,x20373),f389(x20372,x20373)) % 194.45/194.29 [2038]~E(x20381,x20382)+E(f389(x20383,x20381),f389(x20383,x20382)) % 194.45/194.29 [2039]~E(x20391,x20392)+E(f470(x20391,x20393,x20394,x20395),f470(x20392,x20393,x20394,x20395)) % 194.45/194.29 [2040]~E(x20401,x20402)+E(f470(x20403,x20401,x20404,x20405),f470(x20403,x20402,x20404,x20405)) % 194.45/194.29 [2041]~E(x20411,x20412)+E(f470(x20413,x20414,x20411,x20415),f470(x20413,x20414,x20412,x20415)) % 194.45/194.29 [2042]~E(x20421,x20422)+E(f470(x20423,x20424,x20425,x20421),f470(x20423,x20424,x20425,x20422)) % 194.45/194.29 [2043]~E(x20431,x20432)+E(f401(x20431,x20433,x20434,x20435),f401(x20432,x20433,x20434,x20435)) % 194.45/194.29 [2044]~E(x20441,x20442)+E(f401(x20443,x20441,x20444,x20445),f401(x20443,x20442,x20444,x20445)) % 194.45/194.29 [2045]~E(x20451,x20452)+E(f401(x20453,x20454,x20451,x20455),f401(x20453,x20454,x20452,x20455)) % 194.45/194.29 [2046]~E(x20461,x20462)+E(f401(x20463,x20464,x20465,x20461),f401(x20463,x20464,x20465,x20462)) % 194.45/194.29 [2047]~E(x20471,x20472)+E(f332(x20471,x20473,x20474),f332(x20472,x20473,x20474)) % 194.45/194.29 [2048]~E(x20481,x20482)+E(f332(x20483,x20481,x20484),f332(x20483,x20482,x20484)) % 194.45/194.29 [2049]~E(x20491,x20492)+E(f332(x20493,x20494,x20491),f332(x20493,x20494,x20492)) % 194.45/194.29 [2050]~E(x20501,x20502)+E(f290(x20501,x20503,x20504),f290(x20502,x20503,x20504)) % 194.45/194.29 [2051]~E(x20511,x20512)+E(f290(x20513,x20511,x20514),f290(x20513,x20512,x20514)) % 194.45/194.29 [2052]~E(x20521,x20522)+E(f290(x20523,x20524,x20521),f290(x20523,x20524,x20522)) % 194.45/194.29 [2053]~E(x20531,x20532)+E(f357(x20531,x20533,x20534,x20535),f357(x20532,x20533,x20534,x20535)) % 194.45/194.29 [2054]~E(x20541,x20542)+E(f357(x20543,x20541,x20544,x20545),f357(x20543,x20542,x20544,x20545)) % 194.45/194.29 [2055]~E(x20551,x20552)+E(f357(x20553,x20554,x20551,x20555),f357(x20553,x20554,x20552,x20555)) % 194.45/194.29 [2056]~E(x20561,x20562)+E(f357(x20563,x20564,x20565,x20561),f357(x20563,x20564,x20565,x20562)) % 194.45/194.29 [2057]~E(x20571,x20572)+E(f888(x20571,x20573,x20574,x20575),f888(x20572,x20573,x20574,x20575)) % 194.45/194.29 [2058]~E(x20581,x20582)+E(f888(x20583,x20581,x20584,x20585),f888(x20583,x20582,x20584,x20585)) % 194.45/194.29 [2059]~E(x20591,x20592)+E(f888(x20593,x20594,x20591,x20595),f888(x20593,x20594,x20592,x20595)) % 194.45/194.29 [2060]~E(x20601,x20602)+E(f888(x20603,x20604,x20605,x20601),f888(x20603,x20604,x20605,x20602)) % 194.45/194.29 [2061]~E(x20611,x20612)+E(f414(x20611,x20613,x20614,x20615),f414(x20612,x20613,x20614,x20615)) % 194.45/194.29 [2062]~E(x20621,x20622)+E(f414(x20623,x20621,x20624,x20625),f414(x20623,x20622,x20624,x20625)) % 194.45/194.29 [2063]~E(x20631,x20632)+E(f414(x20633,x20634,x20631,x20635),f414(x20633,x20634,x20632,x20635)) % 194.45/194.29 [2064]~E(x20641,x20642)+E(f414(x20643,x20644,x20645,x20641),f414(x20643,x20644,x20645,x20642)) % 194.45/194.29 [2065]~E(x20651,x20652)+E(f400(x20651,x20653,x20654),f400(x20652,x20653,x20654)) % 194.45/194.29 [2066]~E(x20661,x20662)+E(f400(x20663,x20661,x20664),f400(x20663,x20662,x20664)) % 194.45/194.29 [2067]~E(x20671,x20672)+E(f400(x20673,x20674,x20671),f400(x20673,x20674,x20672)) % 194.45/194.29 [2068]~E(x20681,x20682)+E(f898(x20681,x20683,x20684),f898(x20682,x20683,x20684)) % 194.45/194.29 [2069]~E(x20691,x20692)+E(f898(x20693,x20691,x20694),f898(x20693,x20692,x20694)) % 194.45/194.29 [2070]~E(x20701,x20702)+E(f898(x20703,x20704,x20701),f898(x20703,x20704,x20702)) % 194.45/194.29 [2071]~E(x20711,x20712)+E(f270(x20711,x20713),f270(x20712,x20713)) % 194.45/194.29 [2072]~E(x20721,x20722)+E(f270(x20723,x20721),f270(x20723,x20722)) % 194.45/194.29 [2073]~E(x20731,x20732)+E(f125(x20731),f125(x20732)) % 194.45/194.29 [2074]~E(x20741,x20742)+E(f838(x20741,x20743),f838(x20742,x20743)) % 194.45/194.29 [2075]~E(x20751,x20752)+E(f838(x20753,x20751),f838(x20753,x20752)) % 194.45/194.29 [2076]~E(x20761,x20762)+E(f884(x20761,x20763),f884(x20762,x20763)) % 194.45/194.29 [2077]~E(x20771,x20772)+E(f884(x20773,x20771),f884(x20773,x20772)) % 194.45/194.29 [2078]~E(x20781,x20782)+E(f914(x20781,x20783,x20784,x20785),f914(x20782,x20783,x20784,x20785)) % 194.45/194.29 [2079]~E(x20791,x20792)+E(f914(x20793,x20791,x20794,x20795),f914(x20793,x20792,x20794,x20795)) % 194.45/194.29 [2080]~E(x20801,x20802)+E(f914(x20803,x20804,x20801,x20805),f914(x20803,x20804,x20802,x20805)) % 194.45/194.29 [2081]~E(x20811,x20812)+E(f914(x20813,x20814,x20815,x20811),f914(x20813,x20814,x20815,x20812)) % 194.45/194.29 [2082]~E(x20821,x20822)+E(f399(x20821,x20823,x20824),f399(x20822,x20823,x20824)) % 194.45/194.29 [2083]~E(x20831,x20832)+E(f399(x20833,x20831,x20834),f399(x20833,x20832,x20834)) % 194.45/194.29 [2084]~E(x20841,x20842)+E(f399(x20843,x20844,x20841),f399(x20843,x20844,x20842)) % 194.45/194.29 [2085]~E(x20851,x20852)+E(f764(x20851,x20853),f764(x20852,x20853)) % 194.45/194.29 [2086]~E(x20861,x20862)+E(f764(x20863,x20861),f764(x20863,x20862)) % 194.45/194.29 [2087]~E(x20871,x20872)+E(f388(x20871),f388(x20872)) % 194.45/194.29 [2088]~E(x20881,x20882)+E(f392(x20881,x20883,x20884,x20885,x20886),f392(x20882,x20883,x20884,x20885,x20886)) % 194.45/194.29 [2089]~E(x20891,x20892)+E(f392(x20893,x20891,x20894,x20895,x20896),f392(x20893,x20892,x20894,x20895,x20896)) % 194.45/194.29 [2090]~E(x20901,x20902)+E(f392(x20903,x20904,x20901,x20905,x20906),f392(x20903,x20904,x20902,x20905,x20906)) % 194.45/194.29 [2091]~E(x20911,x20912)+E(f392(x20913,x20914,x20915,x20911,x20916),f392(x20913,x20914,x20915,x20912,x20916)) % 194.45/194.29 [2092]~E(x20921,x20922)+E(f392(x20923,x20924,x20925,x20926,x20921),f392(x20923,x20924,x20925,x20926,x20922)) % 194.45/194.29 [2093]~E(x20931,x20932)+E(f654(x20931,x20933),f654(x20932,x20933)) % 194.45/194.29 [2094]~E(x20941,x20942)+E(f654(x20943,x20941),f654(x20943,x20942)) % 194.45/194.29 [2095]~E(x20951,x20952)+E(f349(x20951,x20953),f349(x20952,x20953)) % 194.45/194.29 [2096]~E(x20961,x20962)+E(f349(x20963,x20961),f349(x20963,x20962)) % 194.45/194.29 [2097]~E(x20971,x20972)+E(f265(x20971,x20973,x20974),f265(x20972,x20973,x20974)) % 194.45/194.29 [2098]~E(x20981,x20982)+E(f265(x20983,x20981,x20984),f265(x20983,x20982,x20984)) % 194.45/194.29 [2099]~E(x20991,x20992)+E(f265(x20993,x20994,x20991),f265(x20993,x20994,x20992)) % 194.45/194.29 [2100]~E(x21001,x21002)+E(f818(x21001,x21003,x21004,x21005,x21006,x21007,x21008),f818(x21002,x21003,x21004,x21005,x21006,x21007,x21008)) % 194.45/194.29 [2101]~E(x21011,x21012)+E(f818(x21013,x21011,x21014,x21015,x21016,x21017,x21018),f818(x21013,x21012,x21014,x21015,x21016,x21017,x21018)) % 194.45/194.29 [2102]~E(x21021,x21022)+E(f818(x21023,x21024,x21021,x21025,x21026,x21027,x21028),f818(x21023,x21024,x21022,x21025,x21026,x21027,x21028)) % 194.45/194.29 [2103]~E(x21031,x21032)+E(f818(x21033,x21034,x21035,x21031,x21036,x21037,x21038),f818(x21033,x21034,x21035,x21032,x21036,x21037,x21038)) % 194.45/194.29 [2104]~E(x21041,x21042)+E(f818(x21043,x21044,x21045,x21046,x21041,x21047,x21048),f818(x21043,x21044,x21045,x21046,x21042,x21047,x21048)) % 194.45/194.29 [2105]~E(x21051,x21052)+E(f818(x21053,x21054,x21055,x21056,x21057,x21051,x21058),f818(x21053,x21054,x21055,x21056,x21057,x21052,x21058)) % 194.45/194.29 [2106]~E(x21061,x21062)+E(f818(x21063,x21064,x21065,x21066,x21067,x21068,x21061),f818(x21063,x21064,x21065,x21066,x21067,x21068,x21062)) % 194.45/194.29 [2107]~E(x21071,x21072)+E(f901(x21071,x21073,x21074),f901(x21072,x21073,x21074)) % 194.45/194.29 [2108]~E(x21081,x21082)+E(f901(x21083,x21081,x21084),f901(x21083,x21082,x21084)) % 194.45/194.29 [2109]~E(x21091,x21092)+E(f901(x21093,x21094,x21091),f901(x21093,x21094,x21092)) % 194.45/194.29 [2110]~E(x21101,x21102)+E(f614(x21101,x21103,x21104,x21105),f614(x21102,x21103,x21104,x21105)) % 194.45/194.29 [2111]~E(x21111,x21112)+E(f614(x21113,x21111,x21114,x21115),f614(x21113,x21112,x21114,x21115)) % 194.45/194.29 [2112]~E(x21121,x21122)+E(f614(x21123,x21124,x21121,x21125),f614(x21123,x21124,x21122,x21125)) % 194.45/194.29 [2113]~E(x21131,x21132)+E(f614(x21133,x21134,x21135,x21131),f614(x21133,x21134,x21135,x21132)) % 194.45/194.29 [2114]~E(x21141,x21142)+E(f797(x21141,x21143,x21144),f797(x21142,x21143,x21144)) % 194.45/194.29 [2115]~E(x21151,x21152)+E(f797(x21153,x21151,x21154),f797(x21153,x21152,x21154)) % 194.45/194.29 [2116]~E(x21161,x21162)+E(f797(x21163,x21164,x21161),f797(x21163,x21164,x21162)) % 194.45/194.29 [2117]~E(x21171,x21172)+E(f437(x21171,x21173,x21174),f437(x21172,x21173,x21174)) % 194.45/194.29 [2118]~E(x21181,x21182)+E(f437(x21183,x21181,x21184),f437(x21183,x21182,x21184)) % 194.45/194.29 [2119]~E(x21191,x21192)+E(f437(x21193,x21194,x21191),f437(x21193,x21194,x21192)) % 194.45/194.29 [2120]~E(x21201,x21202)+E(f482(x21201,x21203,x21204,x21205),f482(x21202,x21203,x21204,x21205)) % 194.45/194.29 [2121]~E(x21211,x21212)+E(f482(x21213,x21211,x21214,x21215),f482(x21213,x21212,x21214,x21215)) % 194.45/194.29 [2122]~E(x21221,x21222)+E(f482(x21223,x21224,x21221,x21225),f482(x21223,x21224,x21222,x21225)) % 194.45/194.29 [2123]~E(x21231,x21232)+E(f482(x21233,x21234,x21235,x21231),f482(x21233,x21234,x21235,x21232)) % 194.45/194.29 [2124]~E(x21241,x21242)+E(f393(x21241,x21243,x21244),f393(x21242,x21243,x21244)) % 194.45/194.29 [2125]~E(x21251,x21252)+E(f393(x21253,x21251,x21254),f393(x21253,x21252,x21254)) % 194.45/194.29 [2126]~E(x21261,x21262)+E(f393(x21263,x21264,x21261),f393(x21263,x21264,x21262)) % 194.45/194.29 [2127]~E(x21271,x21272)+E(f642(x21271,x21273,x21274,x21275,x21276,x21277,x21278,x21279),f642(x21272,x21273,x21274,x21275,x21276,x21277,x21278,x21279)) % 194.45/194.29 [2128]~E(x21281,x21282)+E(f642(x21283,x21281,x21284,x21285,x21286,x21287,x21288,x21289),f642(x21283,x21282,x21284,x21285,x21286,x21287,x21288,x21289)) % 194.45/194.29 [2129]~E(x21291,x21292)+E(f642(x21293,x21294,x21291,x21295,x21296,x21297,x21298,x21299),f642(x21293,x21294,x21292,x21295,x21296,x21297,x21298,x21299)) % 194.45/194.29 [2130]~E(x21301,x21302)+E(f642(x21303,x21304,x21305,x21301,x21306,x21307,x21308,x21309),f642(x21303,x21304,x21305,x21302,x21306,x21307,x21308,x21309)) % 194.45/194.29 [2131]~E(x21311,x21312)+E(f642(x21313,x21314,x21315,x21316,x21311,x21317,x21318,x21319),f642(x21313,x21314,x21315,x21316,x21312,x21317,x21318,x21319)) % 194.45/194.29 [2132]~E(x21321,x21322)+E(f642(x21323,x21324,x21325,x21326,x21327,x21321,x21328,x21329),f642(x21323,x21324,x21325,x21326,x21327,x21322,x21328,x21329)) % 194.45/194.29 [2133]~E(x21331,x21332)+E(f642(x21333,x21334,x21335,x21336,x21337,x21338,x21331,x21339),f642(x21333,x21334,x21335,x21336,x21337,x21338,x21332,x21339)) % 194.45/194.29 [2134]~E(x21341,x21342)+E(f642(x21343,x21344,x21345,x21346,x21347,x21348,x21349,x21341),f642(x21343,x21344,x21345,x21346,x21347,x21348,x21349,x21342)) % 194.45/194.29 [2135]~E(x21351,x21352)+E(f913(x21351,x21353,x21354),f913(x21352,x21353,x21354)) % 194.45/194.29 [2136]~E(x21361,x21362)+E(f913(x21363,x21361,x21364),f913(x21363,x21362,x21364)) % 194.45/194.29 [2137]~E(x21371,x21372)+E(f913(x21373,x21374,x21371),f913(x21373,x21374,x21372)) % 194.45/194.29 [2138]~E(x21381,x21382)+E(f770(x21381,x21383,x21384),f770(x21382,x21383,x21384)) % 194.45/194.29 [2139]~E(x21391,x21392)+E(f770(x21393,x21391,x21394),f770(x21393,x21392,x21394)) % 194.45/194.29 [2140]~E(x21401,x21402)+E(f770(x21403,x21404,x21401),f770(x21403,x21404,x21402)) % 194.45/194.29 [2141]~E(x21411,x21412)+E(f502(x21411,x21413),f502(x21412,x21413)) % 194.45/194.29 [2142]~E(x21421,x21422)+E(f502(x21423,x21421),f502(x21423,x21422)) % 194.45/194.29 [2143]~E(x21431,x21432)+E(f891(x21431,x21433,x21434,x21435,x21436),f891(x21432,x21433,x21434,x21435,x21436)) % 194.45/194.29 [2144]~E(x21441,x21442)+E(f891(x21443,x21441,x21444,x21445,x21446),f891(x21443,x21442,x21444,x21445,x21446)) % 194.45/194.29 [2145]~E(x21451,x21452)+E(f891(x21453,x21454,x21451,x21455,x21456),f891(x21453,x21454,x21452,x21455,x21456)) % 194.45/194.29 [2146]~E(x21461,x21462)+E(f891(x21463,x21464,x21465,x21461,x21466),f891(x21463,x21464,x21465,x21462,x21466)) % 194.45/194.29 [2147]~E(x21471,x21472)+E(f891(x21473,x21474,x21475,x21476,x21471),f891(x21473,x21474,x21475,x21476,x21472)) % 194.45/194.29 [2148]~E(x21481,x21482)+E(f635(x21481,x21483,x21484),f635(x21482,x21483,x21484)) % 194.45/194.29 [2149]~E(x21491,x21492)+E(f635(x21493,x21491,x21494),f635(x21493,x21492,x21494)) % 194.45/194.29 [2150]~E(x21501,x21502)+E(f635(x21503,x21504,x21501),f635(x21503,x21504,x21502)) % 194.45/194.29 [2151]~E(x21511,x21512)+E(f712(x21511,x21513,x21514,x21515,x21516),f712(x21512,x21513,x21514,x21515,x21516)) % 194.45/194.29 [2152]~E(x21521,x21522)+E(f712(x21523,x21521,x21524,x21525,x21526),f712(x21523,x21522,x21524,x21525,x21526)) % 194.45/194.29 [2153]~E(x21531,x21532)+E(f712(x21533,x21534,x21531,x21535,x21536),f712(x21533,x21534,x21532,x21535,x21536)) % 194.45/194.29 [2154]~E(x21541,x21542)+E(f712(x21543,x21544,x21545,x21541,x21546),f712(x21543,x21544,x21545,x21542,x21546)) % 194.45/194.29 [2155]~E(x21551,x21552)+E(f712(x21553,x21554,x21555,x21556,x21551),f712(x21553,x21554,x21555,x21556,x21552)) % 194.45/194.29 [2156]~E(x21561,x21562)+E(f569(x21561),f569(x21562)) % 194.45/194.29 [2157]~E(x21571,x21572)+E(f828(x21571,x21573,x21574,x21575,x21576),f828(x21572,x21573,x21574,x21575,x21576)) % 194.45/194.29 [2158]~E(x21581,x21582)+E(f828(x21583,x21581,x21584,x21585,x21586),f828(x21583,x21582,x21584,x21585,x21586)) % 194.45/194.29 [2159]~E(x21591,x21592)+E(f828(x21593,x21594,x21591,x21595,x21596),f828(x21593,x21594,x21592,x21595,x21596)) % 194.45/194.29 [2160]~E(x21601,x21602)+E(f828(x21603,x21604,x21605,x21601,x21606),f828(x21603,x21604,x21605,x21602,x21606)) % 194.45/194.29 [2161]~E(x21611,x21612)+E(f828(x21613,x21614,x21615,x21616,x21611),f828(x21613,x21614,x21615,x21616,x21612)) % 194.45/194.29 [2162]~E(x21621,x21622)+E(f431(x21621,x21623,x21624,x21625,x21626,x21627,x21628),f431(x21622,x21623,x21624,x21625,x21626,x21627,x21628)) % 194.45/194.29 [2163]~E(x21631,x21632)+E(f431(x21633,x21631,x21634,x21635,x21636,x21637,x21638),f431(x21633,x21632,x21634,x21635,x21636,x21637,x21638)) % 194.45/194.29 [2164]~E(x21641,x21642)+E(f431(x21643,x21644,x21641,x21645,x21646,x21647,x21648),f431(x21643,x21644,x21642,x21645,x21646,x21647,x21648)) % 194.45/194.29 [2165]~E(x21651,x21652)+E(f431(x21653,x21654,x21655,x21651,x21656,x21657,x21658),f431(x21653,x21654,x21655,x21652,x21656,x21657,x21658)) % 194.45/194.29 [2166]~E(x21661,x21662)+E(f431(x21663,x21664,x21665,x21666,x21661,x21667,x21668),f431(x21663,x21664,x21665,x21666,x21662,x21667,x21668)) % 194.45/194.29 [2167]~E(x21671,x21672)+E(f431(x21673,x21674,x21675,x21676,x21677,x21671,x21678),f431(x21673,x21674,x21675,x21676,x21677,x21672,x21678)) % 194.45/194.29 [2168]~E(x21681,x21682)+E(f431(x21683,x21684,x21685,x21686,x21687,x21688,x21681),f431(x21683,x21684,x21685,x21686,x21687,x21688,x21682)) % 194.45/194.29 [2169]~E(x21691,x21692)+E(f570(x21691,x21693,x21694,x21695),f570(x21692,x21693,x21694,x21695)) % 194.45/194.29 [2170]~E(x21701,x21702)+E(f570(x21703,x21701,x21704,x21705),f570(x21703,x21702,x21704,x21705)) % 194.45/194.29 [2171]~E(x21711,x21712)+E(f570(x21713,x21714,x21711,x21715),f570(x21713,x21714,x21712,x21715)) % 194.45/194.29 [2172]~E(x21721,x21722)+E(f570(x21723,x21724,x21725,x21721),f570(x21723,x21724,x21725,x21722)) % 194.45/194.29 [2173]~E(x21731,x21732)+E(f650(x21731,x21733,x21734),f650(x21732,x21733,x21734)) % 194.45/194.29 [2174]~E(x21741,x21742)+E(f650(x21743,x21741,x21744),f650(x21743,x21742,x21744)) % 194.45/194.29 [2175]~E(x21751,x21752)+E(f650(x21753,x21754,x21751),f650(x21753,x21754,x21752)) % 194.45/194.29 [2176]~E(x21761,x21762)+E(f198(x21761,x21763,x21764,x21765),f198(x21762,x21763,x21764,x21765)) % 194.45/194.29 [2177]~E(x21771,x21772)+E(f198(x21773,x21771,x21774,x21775),f198(x21773,x21772,x21774,x21775)) % 194.45/194.29 [2178]~E(x21781,x21782)+E(f198(x21783,x21784,x21781,x21785),f198(x21783,x21784,x21782,x21785)) % 194.45/194.29 [2179]~E(x21791,x21792)+E(f198(x21793,x21794,x21795,x21791),f198(x21793,x21794,x21795,x21792)) % 194.45/194.29 [2180]~E(x21801,x21802)+E(f880(x21801,x21803,x21804,x21805,x21806),f880(x21802,x21803,x21804,x21805,x21806)) % 194.45/194.29 [2181]~E(x21811,x21812)+E(f880(x21813,x21811,x21814,x21815,x21816),f880(x21813,x21812,x21814,x21815,x21816)) % 194.45/194.29 [2182]~E(x21821,x21822)+E(f880(x21823,x21824,x21821,x21825,x21826),f880(x21823,x21824,x21822,x21825,x21826)) % 194.45/194.29 [2183]~E(x21831,x21832)+E(f880(x21833,x21834,x21835,x21831,x21836),f880(x21833,x21834,x21835,x21832,x21836)) % 194.45/194.29 [2184]~E(x21841,x21842)+E(f880(x21843,x21844,x21845,x21846,x21841),f880(x21843,x21844,x21845,x21846,x21842)) % 194.45/194.29 [2185]~E(x21851,x21852)+E(f579(x21851,x21853,x21854,x21855,x21856,x21857,x21858,x21859),f579(x21852,x21853,x21854,x21855,x21856,x21857,x21858,x21859)) % 194.45/194.29 [2186]~E(x21861,x21862)+E(f579(x21863,x21861,x21864,x21865,x21866,x21867,x21868,x21869),f579(x21863,x21862,x21864,x21865,x21866,x21867,x21868,x21869)) % 194.45/194.29 [2187]~E(x21871,x21872)+E(f579(x21873,x21874,x21871,x21875,x21876,x21877,x21878,x21879),f579(x21873,x21874,x21872,x21875,x21876,x21877,x21878,x21879)) % 194.45/194.29 [2188]~E(x21881,x21882)+E(f579(x21883,x21884,x21885,x21881,x21886,x21887,x21888,x21889),f579(x21883,x21884,x21885,x21882,x21886,x21887,x21888,x21889)) % 194.45/194.29 [2189]~E(x21891,x21892)+E(f579(x21893,x21894,x21895,x21896,x21891,x21897,x21898,x21899),f579(x21893,x21894,x21895,x21896,x21892,x21897,x21898,x21899)) % 194.45/194.29 [2190]~E(x21901,x21902)+E(f579(x21903,x21904,x21905,x21906,x21907,x21901,x21908,x21909),f579(x21903,x21904,x21905,x21906,x21907,x21902,x21908,x21909)) % 194.45/194.29 [2191]~E(x21911,x21912)+E(f579(x21913,x21914,x21915,x21916,x21917,x21918,x21911,x21919),f579(x21913,x21914,x21915,x21916,x21917,x21918,x21912,x21919)) % 194.45/194.29 [2192]~E(x21921,x21922)+E(f579(x21923,x21924,x21925,x21926,x21927,x21928,x21929,x21921),f579(x21923,x21924,x21925,x21926,x21927,x21928,x21929,x21922)) % 194.45/194.29 [2193]~E(x21931,x21932)+E(f825(x21931,x21933,x21934),f825(x21932,x21933,x21934)) % 194.45/194.29 [2194]~E(x21941,x21942)+E(f825(x21943,x21941,x21944),f825(x21943,x21942,x21944)) % 194.45/194.29 [2195]~E(x21951,x21952)+E(f825(x21953,x21954,x21951),f825(x21953,x21954,x21952)) % 194.45/194.29 [2196]~E(x21961,x21962)+E(f406(x21961,x21963,x21964,x21965),f406(x21962,x21963,x21964,x21965)) % 194.45/194.29 [2197]~E(x21971,x21972)+E(f406(x21973,x21971,x21974,x21975),f406(x21973,x21972,x21974,x21975)) % 194.45/194.29 [2198]~E(x21981,x21982)+E(f406(x21983,x21984,x21981,x21985),f406(x21983,x21984,x21982,x21985)) % 194.45/194.29 [2199]~E(x21991,x21992)+E(f406(x21993,x21994,x21995,x21991),f406(x21993,x21994,x21995,x21992)) % 194.45/194.29 [2200]~E(x22001,x22002)+E(f209(x22001),f209(x22002)) % 194.45/194.29 [2201]~E(x22011,x22012)+E(f747(x22011,x22013,x22014),f747(x22012,x22013,x22014)) % 194.45/194.29 [2202]~E(x22021,x22022)+E(f747(x22023,x22021,x22024),f747(x22023,x22022,x22024)) % 194.45/194.29 [2203]~E(x22031,x22032)+E(f747(x22033,x22034,x22031),f747(x22033,x22034,x22032)) % 194.45/194.29 [2204]~E(x22041,x22042)+E(f591(x22041,x22043,x22044,x22045,x22046),f591(x22042,x22043,x22044,x22045,x22046)) % 194.45/194.29 [2205]~E(x22051,x22052)+E(f591(x22053,x22051,x22054,x22055,x22056),f591(x22053,x22052,x22054,x22055,x22056)) % 194.45/194.29 [2206]~E(x22061,x22062)+E(f591(x22063,x22064,x22061,x22065,x22066),f591(x22063,x22064,x22062,x22065,x22066)) % 194.45/194.29 [2207]~E(x22071,x22072)+E(f591(x22073,x22074,x22075,x22071,x22076),f591(x22073,x22074,x22075,x22072,x22076)) % 194.45/194.29 [2208]~E(x22081,x22082)+E(f591(x22083,x22084,x22085,x22086,x22081),f591(x22083,x22084,x22085,x22086,x22082)) % 194.45/194.29 [2209]~E(x22091,x22092)+E(f683(x22091,x22093,x22094,x22095,x22096),f683(x22092,x22093,x22094,x22095,x22096)) % 194.45/194.29 [2210]~E(x22101,x22102)+E(f683(x22103,x22101,x22104,x22105,x22106),f683(x22103,x22102,x22104,x22105,x22106)) % 194.45/194.29 [2211]~E(x22111,x22112)+E(f683(x22113,x22114,x22111,x22115,x22116),f683(x22113,x22114,x22112,x22115,x22116)) % 194.45/194.29 [2212]~E(x22121,x22122)+E(f683(x22123,x22124,x22125,x22121,x22126),f683(x22123,x22124,x22125,x22122,x22126)) % 194.45/194.29 [2213]~E(x22131,x22132)+E(f683(x22133,x22134,x22135,x22136,x22131),f683(x22133,x22134,x22135,x22136,x22132)) % 194.45/194.29 [2214]~E(x22141,x22142)+E(f373(x22141,x22143,x22144),f373(x22142,x22143,x22144)) % 194.45/194.29 [2215]~E(x22151,x22152)+E(f373(x22153,x22151,x22154),f373(x22153,x22152,x22154)) % 194.45/194.29 [2216]~E(x22161,x22162)+E(f373(x22163,x22164,x22161),f373(x22163,x22164,x22162)) % 194.45/194.29 [2217]~E(x22171,x22172)+E(f457(x22171,x22173),f457(x22172,x22173)) % 194.45/194.29 [2218]~E(x22181,x22182)+E(f457(x22183,x22181),f457(x22183,x22182)) % 194.45/194.29 [2219]~E(x22191,x22192)+E(f798(x22191,x22193,x22194,x22195),f798(x22192,x22193,x22194,x22195)) % 194.45/194.29 [2220]~E(x22201,x22202)+E(f798(x22203,x22201,x22204,x22205),f798(x22203,x22202,x22204,x22205)) % 194.45/194.29 [2221]~E(x22211,x22212)+E(f798(x22213,x22214,x22211,x22215),f798(x22213,x22214,x22212,x22215)) % 194.45/194.29 [2222]~E(x22221,x22222)+E(f798(x22223,x22224,x22225,x22221),f798(x22223,x22224,x22225,x22222)) % 194.45/194.29 [2223]~E(x22231,x22232)+E(f348(x22231,x22233),f348(x22232,x22233)) % 194.45/194.29 [2224]~E(x22241,x22242)+E(f348(x22243,x22241),f348(x22243,x22242)) % 194.45/194.29 [2225]~E(x22251,x22252)+E(f340(x22251,x22253,x22254,x22255,x22256),f340(x22252,x22253,x22254,x22255,x22256)) % 194.45/194.29 [2226]~E(x22261,x22262)+E(f340(x22263,x22261,x22264,x22265,x22266),f340(x22263,x22262,x22264,x22265,x22266)) % 194.45/194.29 [2227]~E(x22271,x22272)+E(f340(x22273,x22274,x22271,x22275,x22276),f340(x22273,x22274,x22272,x22275,x22276)) % 194.45/194.29 [2228]~E(x22281,x22282)+E(f340(x22283,x22284,x22285,x22281,x22286),f340(x22283,x22284,x22285,x22282,x22286)) % 194.45/194.29 [2229]~E(x22291,x22292)+E(f340(x22293,x22294,x22295,x22296,x22291),f340(x22293,x22294,x22295,x22296,x22292)) % 194.45/194.29 [2230]~E(x22301,x22302)+E(f839(x22301,x22303,x22304),f839(x22302,x22303,x22304)) % 194.45/194.29 [2231]~E(x22311,x22312)+E(f839(x22313,x22311,x22314),f839(x22313,x22312,x22314)) % 194.45/194.29 [2232]~E(x22321,x22322)+E(f839(x22323,x22324,x22321),f839(x22323,x22324,x22322)) % 194.45/194.29 [2233]~E(x22331,x22332)+E(f749(x22331,x22333,x22334,x22335,x22336),f749(x22332,x22333,x22334,x22335,x22336)) % 194.45/194.29 [2234]~E(x22341,x22342)+E(f749(x22343,x22341,x22344,x22345,x22346),f749(x22343,x22342,x22344,x22345,x22346)) % 194.45/194.29 [2235]~E(x22351,x22352)+E(f749(x22353,x22354,x22351,x22355,x22356),f749(x22353,x22354,x22352,x22355,x22356)) % 194.45/194.29 [2236]~E(x22361,x22362)+E(f749(x22363,x22364,x22365,x22361,x22366),f749(x22363,x22364,x22365,x22362,x22366)) % 194.45/194.29 [2237]~E(x22371,x22372)+E(f749(x22373,x22374,x22375,x22376,x22371),f749(x22373,x22374,x22375,x22376,x22372)) % 194.45/194.29 [2238]~E(x22381,x22382)+E(f469(x22381,x22383,x22384,x22385),f469(x22382,x22383,x22384,x22385)) % 194.45/194.29 [2239]~E(x22391,x22392)+E(f469(x22393,x22391,x22394,x22395),f469(x22393,x22392,x22394,x22395)) % 194.45/194.29 [2240]~E(x22401,x22402)+E(f469(x22403,x22404,x22401,x22405),f469(x22403,x22404,x22402,x22405)) % 194.45/194.29 [2241]~E(x22411,x22412)+E(f469(x22413,x22414,x22415,x22411),f469(x22413,x22414,x22415,x22412)) % 194.45/194.29 [2242]~E(x22421,x22422)+E(f708(x22421,x22423,x22424),f708(x22422,x22423,x22424)) % 194.45/194.29 [2243]~E(x22431,x22432)+E(f708(x22433,x22431,x22434),f708(x22433,x22432,x22434)) % 194.45/194.29 [2244]~E(x22441,x22442)+E(f708(x22443,x22444,x22441),f708(x22443,x22444,x22442)) % 194.45/194.29 [2245]~E(x22451,x22452)+E(f526(x22451,x22453,x22454),f526(x22452,x22453,x22454)) % 194.45/194.29 [2246]~E(x22461,x22462)+E(f526(x22463,x22461,x22464),f526(x22463,x22462,x22464)) % 194.45/194.29 [2247]~E(x22471,x22472)+E(f526(x22473,x22474,x22471),f526(x22473,x22474,x22472)) % 194.45/194.29 [2248]~E(x22481,x22482)+E(f553(x22481,x22483,x22484),f553(x22482,x22483,x22484)) % 194.45/194.29 [2249]~E(x22491,x22492)+E(f553(x22493,x22491,x22494),f553(x22493,x22492,x22494)) % 194.45/194.29 [2250]~E(x22501,x22502)+E(f553(x22503,x22504,x22501),f553(x22503,x22504,x22502)) % 194.45/194.29 [2251]~E(x22511,x22512)+E(f583(x22511,x22513,x22514),f583(x22512,x22513,x22514)) % 194.45/194.29 [2252]~E(x22521,x22522)+E(f583(x22523,x22521,x22524),f583(x22523,x22522,x22524)) % 194.45/194.29 [2253]~E(x22531,x22532)+E(f583(x22533,x22534,x22531),f583(x22533,x22534,x22532)) % 194.45/194.29 [2254]~E(x22541,x22542)+E(f123(x22541,x22543,x22544,x22545),f123(x22542,x22543,x22544,x22545)) % 194.45/194.29 [2255]~E(x22551,x22552)+E(f123(x22553,x22551,x22554,x22555),f123(x22553,x22552,x22554,x22555)) % 194.45/194.29 [2256]~E(x22561,x22562)+E(f123(x22563,x22564,x22561,x22565),f123(x22563,x22564,x22562,x22565)) % 194.45/194.29 [2257]~E(x22571,x22572)+E(f123(x22573,x22574,x22575,x22571),f123(x22573,x22574,x22575,x22572)) % 194.45/194.29 [2258]~E(x22581,x22582)+E(f487(x22581,x22583,x22584,x22585),f487(x22582,x22583,x22584,x22585)) % 194.45/194.29 [2259]~E(x22591,x22592)+E(f487(x22593,x22591,x22594,x22595),f487(x22593,x22592,x22594,x22595)) % 194.45/194.29 [2260]~E(x22601,x22602)+E(f487(x22603,x22604,x22601,x22605),f487(x22603,x22604,x22602,x22605)) % 194.45/194.29 [2261]~E(x22611,x22612)+E(f487(x22613,x22614,x22615,x22611),f487(x22613,x22614,x22615,x22612)) % 194.45/194.29 [2262]~E(x22621,x22622)+E(f628(x22621,x22623),f628(x22622,x22623)) % 194.45/194.29 [2263]~E(x22631,x22632)+E(f628(x22633,x22631),f628(x22633,x22632)) % 194.45/194.29 [2264]~E(x22641,x22642)+E(f630(x22641,x22643,x22644),f630(x22642,x22643,x22644)) % 194.45/194.29 [2265]~E(x22651,x22652)+E(f630(x22653,x22651,x22654),f630(x22653,x22652,x22654)) % 194.45/194.29 [2266]~E(x22661,x22662)+E(f630(x22663,x22664,x22661),f630(x22663,x22664,x22662)) % 194.45/194.29 [2267]~E(x22671,x22672)+E(f873(x22671,x22673,x22674,x22675),f873(x22672,x22673,x22674,x22675)) % 194.45/194.29 [2268]~E(x22681,x22682)+E(f873(x22683,x22681,x22684,x22685),f873(x22683,x22682,x22684,x22685)) % 194.45/194.29 [2269]~E(x22691,x22692)+E(f873(x22693,x22694,x22691,x22695),f873(x22693,x22694,x22692,x22695)) % 194.45/194.29 [2270]~E(x22701,x22702)+E(f873(x22703,x22704,x22705,x22701),f873(x22703,x22704,x22705,x22702)) % 194.45/194.29 [2271]~E(x22711,x22712)+E(f212(x22711,x22713,x22714,x22715,x22716,x22717,x22718),f212(x22712,x22713,x22714,x22715,x22716,x22717,x22718)) % 194.45/194.29 [2272]~E(x22721,x22722)+E(f212(x22723,x22721,x22724,x22725,x22726,x22727,x22728),f212(x22723,x22722,x22724,x22725,x22726,x22727,x22728)) % 194.45/194.29 [2273]~E(x22731,x22732)+E(f212(x22733,x22734,x22731,x22735,x22736,x22737,x22738),f212(x22733,x22734,x22732,x22735,x22736,x22737,x22738)) % 194.45/194.29 [2274]~E(x22741,x22742)+E(f212(x22743,x22744,x22745,x22741,x22746,x22747,x22748),f212(x22743,x22744,x22745,x22742,x22746,x22747,x22748)) % 194.45/194.29 [2275]~E(x22751,x22752)+E(f212(x22753,x22754,x22755,x22756,x22751,x22757,x22758),f212(x22753,x22754,x22755,x22756,x22752,x22757,x22758)) % 194.45/194.29 [2276]~E(x22761,x22762)+E(f212(x22763,x22764,x22765,x22766,x22767,x22761,x22768),f212(x22763,x22764,x22765,x22766,x22767,x22762,x22768)) % 194.45/194.29 [2277]~E(x22771,x22772)+E(f212(x22773,x22774,x22775,x22776,x22777,x22778,x22771),f212(x22773,x22774,x22775,x22776,x22777,x22778,x22772)) % 194.45/194.29 [2278]~E(x22781,x22782)+E(f367(x22781,x22783,x22784),f367(x22782,x22783,x22784)) % 194.45/194.29 [2279]~E(x22791,x22792)+E(f367(x22793,x22791,x22794),f367(x22793,x22792,x22794)) % 194.45/194.29 [2280]~E(x22801,x22802)+E(f367(x22803,x22804,x22801),f367(x22803,x22804,x22802)) % 194.45/194.29 [2281]~E(x22811,x22812)+E(f416(x22811,x22813,x22814,x22815),f416(x22812,x22813,x22814,x22815)) % 194.45/194.29 [2282]~E(x22821,x22822)+E(f416(x22823,x22821,x22824,x22825),f416(x22823,x22822,x22824,x22825)) % 194.45/194.29 [2283]~E(x22831,x22832)+E(f416(x22833,x22834,x22831,x22835),f416(x22833,x22834,x22832,x22835)) % 194.45/194.29 [2284]~E(x22841,x22842)+E(f416(x22843,x22844,x22845,x22841),f416(x22843,x22844,x22845,x22842)) % 194.45/194.29 [2285]~E(x22851,x22852)+E(f207(x22851,x22853,x22854,x22855),f207(x22852,x22853,x22854,x22855)) % 194.45/194.29 [2286]~E(x22861,x22862)+E(f207(x22863,x22861,x22864,x22865),f207(x22863,x22862,x22864,x22865)) % 194.45/194.29 [2287]~E(x22871,x22872)+E(f207(x22873,x22874,x22871,x22875),f207(x22873,x22874,x22872,x22875)) % 194.45/194.29 [2288]~E(x22881,x22882)+E(f207(x22883,x22884,x22885,x22881),f207(x22883,x22884,x22885,x22882)) % 194.45/194.29 [2289]~E(x22891,x22892)+E(f197(x22891,x22893,x22894,x22895),f197(x22892,x22893,x22894,x22895)) % 194.45/194.29 [2290]~E(x22901,x22902)+E(f197(x22903,x22901,x22904,x22905),f197(x22903,x22902,x22904,x22905)) % 194.45/194.29 [2291]~E(x22911,x22912)+E(f197(x22913,x22914,x22911,x22915),f197(x22913,x22914,x22912,x22915)) % 194.45/194.29 [2292]~E(x22921,x22922)+E(f197(x22923,x22924,x22925,x22921),f197(x22923,x22924,x22925,x22922)) % 194.45/194.29 [2293]~E(x22931,x22932)+E(f509(x22931,x22933,x22934,x22935),f509(x22932,x22933,x22934,x22935)) % 194.45/194.29 [2294]~E(x22941,x22942)+E(f509(x22943,x22941,x22944,x22945),f509(x22943,x22942,x22944,x22945)) % 194.45/194.29 [2295]~E(x22951,x22952)+E(f509(x22953,x22954,x22951,x22955),f509(x22953,x22954,x22952,x22955)) % 194.45/194.29 [2296]~E(x22961,x22962)+E(f509(x22963,x22964,x22965,x22961),f509(x22963,x22964,x22965,x22962)) % 194.45/194.29 [2297]~E(x22971,x22972)+E(f516(x22971,x22973,x22974),f516(x22972,x22973,x22974)) % 194.45/194.29 [2298]~E(x22981,x22982)+E(f516(x22983,x22981,x22984),f516(x22983,x22982,x22984)) % 194.45/194.29 [2299]~E(x22991,x22992)+E(f516(x22993,x22994,x22991),f516(x22993,x22994,x22992)) % 194.45/194.29 [2300]~E(x23001,x23002)+E(f497(x23001,x23003,x23004,x23005,x23006),f497(x23002,x23003,x23004,x23005,x23006)) % 194.45/194.29 [2301]~E(x23011,x23012)+E(f497(x23013,x23011,x23014,x23015,x23016),f497(x23013,x23012,x23014,x23015,x23016)) % 194.45/194.29 [2302]~E(x23021,x23022)+E(f497(x23023,x23024,x23021,x23025,x23026),f497(x23023,x23024,x23022,x23025,x23026)) % 194.45/194.29 [2303]~E(x23031,x23032)+E(f497(x23033,x23034,x23035,x23031,x23036),f497(x23033,x23034,x23035,x23032,x23036)) % 194.45/194.29 [2304]~E(x23041,x23042)+E(f497(x23043,x23044,x23045,x23046,x23041),f497(x23043,x23044,x23045,x23046,x23042)) % 194.45/194.29 [2305]~E(x23051,x23052)+E(f409(x23051,x23053,x23054,x23055),f409(x23052,x23053,x23054,x23055)) % 194.45/194.29 [2306]~E(x23061,x23062)+E(f409(x23063,x23061,x23064,x23065),f409(x23063,x23062,x23064,x23065)) % 194.45/194.29 [2307]~E(x23071,x23072)+E(f409(x23073,x23074,x23071,x23075),f409(x23073,x23074,x23072,x23075)) % 194.45/194.29 [2308]~E(x23081,x23082)+E(f409(x23083,x23084,x23085,x23081),f409(x23083,x23084,x23085,x23082)) % 194.45/194.29 [2309]~E(x23091,x23092)+E(f656(x23091,x23093,x23094,x23095,x23096),f656(x23092,x23093,x23094,x23095,x23096)) % 194.45/194.29 [2310]~E(x23101,x23102)+E(f656(x23103,x23101,x23104,x23105,x23106),f656(x23103,x23102,x23104,x23105,x23106)) % 194.45/194.29 [2311]~E(x23111,x23112)+E(f656(x23113,x23114,x23111,x23115,x23116),f656(x23113,x23114,x23112,x23115,x23116)) % 194.45/194.29 [2312]~E(x23121,x23122)+E(f656(x23123,x23124,x23125,x23121,x23126),f656(x23123,x23124,x23125,x23122,x23126)) % 194.45/194.29 [2313]~E(x23131,x23132)+E(f656(x23133,x23134,x23135,x23136,x23131),f656(x23133,x23134,x23135,x23136,x23132)) % 194.45/194.29 [2314]~E(x23141,x23142)+E(f682(x23141,x23143,x23144,x23145),f682(x23142,x23143,x23144,x23145)) % 194.45/194.29 [2315]~E(x23151,x23152)+E(f682(x23153,x23151,x23154,x23155),f682(x23153,x23152,x23154,x23155)) % 194.45/194.29 [2316]~E(x23161,x23162)+E(f682(x23163,x23164,x23161,x23165),f682(x23163,x23164,x23162,x23165)) % 194.45/194.29 [2317]~E(x23171,x23172)+E(f682(x23173,x23174,x23175,x23171),f682(x23173,x23174,x23175,x23172)) % 194.45/194.29 [2318]~E(x23181,x23182)+E(f822(x23181,x23183),f822(x23182,x23183)) % 194.45/194.29 [2319]~E(x23191,x23192)+E(f822(x23193,x23191),f822(x23193,x23192)) % 194.45/194.29 [2320]~E(x23201,x23202)+E(f616(x23201,x23203,x23204),f616(x23202,x23203,x23204)) % 194.45/194.29 [2321]~E(x23211,x23212)+E(f616(x23213,x23211,x23214),f616(x23213,x23212,x23214)) % 194.45/194.29 [2322]~E(x23221,x23222)+E(f616(x23223,x23224,x23221),f616(x23223,x23224,x23222)) % 194.45/194.29 [2323]~E(x23231,x23232)+E(f562(x23231,x23233,x23234,x23235),f562(x23232,x23233,x23234,x23235)) % 194.45/194.29 [2324]~E(x23241,x23242)+E(f562(x23243,x23241,x23244,x23245),f562(x23243,x23242,x23244,x23245)) % 194.45/194.29 [2325]~E(x23251,x23252)+E(f562(x23253,x23254,x23251,x23255),f562(x23253,x23254,x23252,x23255)) % 194.45/194.29 [2326]~E(x23261,x23262)+E(f562(x23263,x23264,x23265,x23261),f562(x23263,x23264,x23265,x23262)) % 194.45/194.29 [2327]~E(x23271,x23272)+E(f531(x23271),f531(x23272)) % 194.45/194.29 [2328]~E(x23281,x23282)+E(f391(x23281),f391(x23282)) % 194.45/194.29 [2329]~E(x23291,x23292)+E(f558(x23291,x23293,x23294),f558(x23292,x23293,x23294)) % 194.45/194.29 [2330]~E(x23301,x23302)+E(f558(x23303,x23301,x23304),f558(x23303,x23302,x23304)) % 194.45/194.29 [2331]~E(x23311,x23312)+E(f558(x23313,x23314,x23311),f558(x23313,x23314,x23312)) % 194.45/194.29 [2332]~E(x23321,x23322)+E(f273(x23321,x23323),f273(x23322,x23323)) % 194.45/194.29 [2333]~E(x23331,x23332)+E(f273(x23333,x23331),f273(x23333,x23332)) % 194.45/194.29 [2334]~E(x23341,x23342)+E(f874(x23341,x23343,x23344,x23345),f874(x23342,x23343,x23344,x23345)) % 194.45/194.29 [2335]~E(x23351,x23352)+E(f874(x23353,x23351,x23354,x23355),f874(x23353,x23352,x23354,x23355)) % 194.45/194.29 [2336]~E(x23361,x23362)+E(f874(x23363,x23364,x23361,x23365),f874(x23363,x23364,x23362,x23365)) % 194.45/194.29 [2337]~E(x23371,x23372)+E(f874(x23373,x23374,x23375,x23371),f874(x23373,x23374,x23375,x23372)) % 194.45/194.29 [2338]~E(x23381,x23382)+E(f342(x23381,x23383,x23384,x23385,x23386),f342(x23382,x23383,x23384,x23385,x23386)) % 194.45/194.29 [2339]~E(x23391,x23392)+E(f342(x23393,x23391,x23394,x23395,x23396),f342(x23393,x23392,x23394,x23395,x23396)) % 194.45/194.29 [2340]~E(x23401,x23402)+E(f342(x23403,x23404,x23401,x23405,x23406),f342(x23403,x23404,x23402,x23405,x23406)) % 194.45/194.29 [2341]~E(x23411,x23412)+E(f342(x23413,x23414,x23415,x23411,x23416),f342(x23413,x23414,x23415,x23412,x23416)) % 194.45/194.29 [2342]~E(x23421,x23422)+E(f342(x23423,x23424,x23425,x23426,x23421),f342(x23423,x23424,x23425,x23426,x23422)) % 194.45/194.29 [2343]~E(x23431,x23432)+E(f500(x23431,x23433),f500(x23432,x23433)) % 194.45/194.29 [2344]~E(x23441,x23442)+E(f500(x23443,x23441),f500(x23443,x23442)) % 194.45/194.29 [2345]~E(x23451,x23452)+E(f211(x23451,x23453,x23454,x23455),f211(x23452,x23453,x23454,x23455)) % 194.45/194.29 [2346]~E(x23461,x23462)+E(f211(x23463,x23461,x23464,x23465),f211(x23463,x23462,x23464,x23465)) % 194.45/194.29 [2347]~E(x23471,x23472)+E(f211(x23473,x23474,x23471,x23475),f211(x23473,x23474,x23472,x23475)) % 194.45/194.29 [2348]~E(x23481,x23482)+E(f211(x23483,x23484,x23485,x23481),f211(x23483,x23484,x23485,x23482)) % 194.45/194.29 [2349]~E(x23491,x23492)+E(f93(x23491,x23493,x23494),f93(x23492,x23493,x23494)) % 194.45/194.29 [2350]~E(x23501,x23502)+E(f93(x23503,x23501,x23504),f93(x23503,x23502,x23504)) % 194.45/194.29 [2351]~E(x23511,x23512)+E(f93(x23513,x23514,x23511),f93(x23513,x23514,x23512)) % 194.45/194.29 [2352]~E(x23521,x23522)+E(f578(x23521,x23523,x23524,x23525,x23526),f578(x23522,x23523,x23524,x23525,x23526)) % 194.45/194.29 [2353]~E(x23531,x23532)+E(f578(x23533,x23531,x23534,x23535,x23536),f578(x23533,x23532,x23534,x23535,x23536)) % 194.45/194.29 [2354]~E(x23541,x23542)+E(f578(x23543,x23544,x23541,x23545,x23546),f578(x23543,x23544,x23542,x23545,x23546)) % 194.45/194.29 [2355]~E(x23551,x23552)+E(f578(x23553,x23554,x23555,x23551,x23556),f578(x23553,x23554,x23555,x23552,x23556)) % 194.45/194.29 [2356]~E(x23561,x23562)+E(f578(x23563,x23564,x23565,x23566,x23561),f578(x23563,x23564,x23565,x23566,x23562)) % 194.45/194.29 [2357]~E(x23571,x23572)+E(f382(x23571,x23573,x23574),f382(x23572,x23573,x23574)) % 194.45/194.29 [2358]~E(x23581,x23582)+E(f382(x23583,x23581,x23584),f382(x23583,x23582,x23584)) % 194.45/194.29 [2359]~E(x23591,x23592)+E(f382(x23593,x23594,x23591),f382(x23593,x23594,x23592)) % 194.45/194.29 [2360]~E(x23601,x23602)+E(f236(x23601,x23603),f236(x23602,x23603)) % 194.45/194.29 [2361]~E(x23611,x23612)+E(f236(x23613,x23611),f236(x23613,x23612)) % 194.45/194.29 [2362]~E(x23621,x23622)+E(f817(x23621,x23623,x23624,x23625,x23626,x23627,x23628),f817(x23622,x23623,x23624,x23625,x23626,x23627,x23628)) % 194.45/194.29 [2363]~E(x23631,x23632)+E(f817(x23633,x23631,x23634,x23635,x23636,x23637,x23638),f817(x23633,x23632,x23634,x23635,x23636,x23637,x23638)) % 194.45/194.29 [2364]~E(x23641,x23642)+E(f817(x23643,x23644,x23641,x23645,x23646,x23647,x23648),f817(x23643,x23644,x23642,x23645,x23646,x23647,x23648)) % 194.45/194.29 [2365]~E(x23651,x23652)+E(f817(x23653,x23654,x23655,x23651,x23656,x23657,x23658),f817(x23653,x23654,x23655,x23652,x23656,x23657,x23658)) % 194.45/194.29 [2366]~E(x23661,x23662)+E(f817(x23663,x23664,x23665,x23666,x23661,x23667,x23668),f817(x23663,x23664,x23665,x23666,x23662,x23667,x23668)) % 194.45/194.29 [2367]~E(x23671,x23672)+E(f817(x23673,x23674,x23675,x23676,x23677,x23671,x23678),f817(x23673,x23674,x23675,x23676,x23677,x23672,x23678)) % 194.45/194.29 [2368]~E(x23681,x23682)+E(f817(x23683,x23684,x23685,x23686,x23687,x23688,x23681),f817(x23683,x23684,x23685,x23686,x23687,x23688,x23682)) % 194.45/194.29 [2369]~E(x23691,x23692)+E(f795(x23691,x23693,x23694),f795(x23692,x23693,x23694)) % 194.45/194.29 [2370]~E(x23701,x23702)+E(f795(x23703,x23701,x23704),f795(x23703,x23702,x23704)) % 194.45/194.29 [2371]~E(x23711,x23712)+E(f795(x23713,x23714,x23711),f795(x23713,x23714,x23712)) % 194.45/194.29 [2372]~E(x23721,x23722)+E(f681(x23721,x23723,x23724,x23725,x23726,x23727),f681(x23722,x23723,x23724,x23725,x23726,x23727)) % 194.45/194.29 [2373]~E(x23731,x23732)+E(f681(x23733,x23731,x23734,x23735,x23736,x23737),f681(x23733,x23732,x23734,x23735,x23736,x23737)) % 194.45/194.29 [2374]~E(x23741,x23742)+E(f681(x23743,x23744,x23741,x23745,x23746,x23747),f681(x23743,x23744,x23742,x23745,x23746,x23747)) % 194.45/194.29 [2375]~E(x23751,x23752)+E(f681(x23753,x23754,x23755,x23751,x23756,x23757),f681(x23753,x23754,x23755,x23752,x23756,x23757)) % 194.45/194.29 [2376]~E(x23761,x23762)+E(f681(x23763,x23764,x23765,x23766,x23761,x23767),f681(x23763,x23764,x23765,x23766,x23762,x23767)) % 194.45/194.29 [2377]~E(x23771,x23772)+E(f681(x23773,x23774,x23775,x23776,x23777,x23771),f681(x23773,x23774,x23775,x23776,x23777,x23772)) % 194.45/194.29 [2378]~E(x23781,x23782)+E(f204(x23781,x23783,x23784),f204(x23782,x23783,x23784)) % 194.45/194.29 [2379]~E(x23791,x23792)+E(f204(x23793,x23791,x23794),f204(x23793,x23792,x23794)) % 194.45/194.29 [2380]~E(x23801,x23802)+E(f204(x23803,x23804,x23801),f204(x23803,x23804,x23802)) % 194.45/194.29 [2381]~E(x23811,x23812)+E(f215(x23811,x23813),f215(x23812,x23813)) % 194.45/194.29 [2382]~E(x23821,x23822)+E(f215(x23823,x23821),f215(x23823,x23822)) % 194.45/194.29 [2383]~E(x23831,x23832)+E(f652(x23831,x23833,x23834),f652(x23832,x23833,x23834)) % 194.45/194.29 [2384]~E(x23841,x23842)+E(f652(x23843,x23841,x23844),f652(x23843,x23842,x23844)) % 194.45/194.29 [2385]~E(x23851,x23852)+E(f652(x23853,x23854,x23851),f652(x23853,x23854,x23852)) % 194.45/194.29 [2386]~E(x23861,x23862)+E(f785(x23861,x23863,x23864),f785(x23862,x23863,x23864)) % 194.45/194.29 [2387]~E(x23871,x23872)+E(f785(x23873,x23871,x23874),f785(x23873,x23872,x23874)) % 194.45/194.29 [2388]~E(x23881,x23882)+E(f785(x23883,x23884,x23881),f785(x23883,x23884,x23882)) % 194.45/194.29 [2389]~E(x23891,x23892)+E(f363(x23891,x23893,x23894,x23895),f363(x23892,x23893,x23894,x23895)) % 194.45/194.29 [2390]~E(x23901,x23902)+E(f363(x23903,x23901,x23904,x23905),f363(x23903,x23902,x23904,x23905)) % 194.45/194.29 [2391]~E(x23911,x23912)+E(f363(x23913,x23914,x23911,x23915),f363(x23913,x23914,x23912,x23915)) % 194.45/194.29 [2392]~E(x23921,x23922)+E(f363(x23923,x23924,x23925,x23921),f363(x23923,x23924,x23925,x23922)) % 194.45/194.29 [2393]~E(x23931,x23932)+E(f767(x23931,x23933),f767(x23932,x23933)) % 194.45/194.29 [2394]~E(x23941,x23942)+E(f767(x23943,x23941),f767(x23943,x23942)) % 194.45/194.29 [2395]~E(x23951,x23952)+E(f419(x23951,x23953,x23954,x23955,x23956),f419(x23952,x23953,x23954,x23955,x23956)) % 194.45/194.29 [2396]~E(x23961,x23962)+E(f419(x23963,x23961,x23964,x23965,x23966),f419(x23963,x23962,x23964,x23965,x23966)) % 194.45/194.29 [2397]~E(x23971,x23972)+E(f419(x23973,x23974,x23971,x23975,x23976),f419(x23973,x23974,x23972,x23975,x23976)) % 194.45/194.29 [2398]~E(x23981,x23982)+E(f419(x23983,x23984,x23985,x23981,x23986),f419(x23983,x23984,x23985,x23982,x23986)) % 194.45/194.29 [2399]~E(x23991,x23992)+E(f419(x23993,x23994,x23995,x23996,x23991),f419(x23993,x23994,x23995,x23996,x23992)) % 194.45/194.29 [2400]~E(x24001,x24002)+E(f892(x24001,x24003,x24004,x24005,x24006),f892(x24002,x24003,x24004,x24005,x24006)) % 194.45/194.29 [2401]~E(x24011,x24012)+E(f892(x24013,x24011,x24014,x24015,x24016),f892(x24013,x24012,x24014,x24015,x24016)) % 194.45/194.29 [2402]~E(x24021,x24022)+E(f892(x24023,x24024,x24021,x24025,x24026),f892(x24023,x24024,x24022,x24025,x24026)) % 194.45/194.29 [2403]~E(x24031,x24032)+E(f892(x24033,x24034,x24035,x24031,x24036),f892(x24033,x24034,x24035,x24032,x24036)) % 194.45/194.29 [2404]~E(x24041,x24042)+E(f892(x24043,x24044,x24045,x24046,x24041),f892(x24043,x24044,x24045,x24046,x24042)) % 194.45/194.29 [2405]~E(x24051,x24052)+E(f840(x24051,x24053,x24054,x24055,x24056),f840(x24052,x24053,x24054,x24055,x24056)) % 194.45/194.29 [2406]~E(x24061,x24062)+E(f840(x24063,x24061,x24064,x24065,x24066),f840(x24063,x24062,x24064,x24065,x24066)) % 194.45/194.29 [2407]~E(x24071,x24072)+E(f840(x24073,x24074,x24071,x24075,x24076),f840(x24073,x24074,x24072,x24075,x24076)) % 194.45/194.29 [2408]~E(x24081,x24082)+E(f840(x24083,x24084,x24085,x24081,x24086),f840(x24083,x24084,x24085,x24082,x24086)) % 194.45/194.29 [2409]~E(x24091,x24092)+E(f840(x24093,x24094,x24095,x24096,x24091),f840(x24093,x24094,x24095,x24096,x24092)) % 194.45/194.29 [2410]~E(x24101,x24102)+E(f422(x24101,x24103,x24104),f422(x24102,x24103,x24104)) % 194.45/194.29 [2411]~E(x24111,x24112)+E(f422(x24113,x24111,x24114),f422(x24113,x24112,x24114)) % 194.45/194.29 [2412]~E(x24121,x24122)+E(f422(x24123,x24124,x24121),f422(x24123,x24124,x24122)) % 194.45/194.29 [2413]~E(x24131,x24132)+E(f536(x24131,x24133,x24134),f536(x24132,x24133,x24134)) % 194.45/194.29 [2414]~E(x24141,x24142)+E(f536(x24143,x24141,x24144),f536(x24143,x24142,x24144)) % 194.45/194.29 [2415]~E(x24151,x24152)+E(f536(x24153,x24154,x24151),f536(x24153,x24154,x24152)) % 194.45/194.29 [2416]~E(x24161,x24162)+E(f277(x24161,x24163,x24164,x24165),f277(x24162,x24163,x24164,x24165)) % 194.45/194.29 [2417]~E(x24171,x24172)+E(f277(x24173,x24171,x24174,x24175),f277(x24173,x24172,x24174,x24175)) % 194.45/194.29 [2418]~E(x24181,x24182)+E(f277(x24183,x24184,x24181,x24185),f277(x24183,x24184,x24182,x24185)) % 194.45/194.29 [2419]~E(x24191,x24192)+E(f277(x24193,x24194,x24195,x24191),f277(x24193,x24194,x24195,x24192)) % 194.45/194.29 [2420]~E(x24201,x24202)+E(f675(x24201,x24203,x24204,x24205,x24206),f675(x24202,x24203,x24204,x24205,x24206)) % 194.45/194.29 [2421]~E(x24211,x24212)+E(f675(x24213,x24211,x24214,x24215,x24216),f675(x24213,x24212,x24214,x24215,x24216)) % 194.45/194.29 [2422]~E(x24221,x24222)+E(f675(x24223,x24224,x24221,x24225,x24226),f675(x24223,x24224,x24222,x24225,x24226)) % 194.45/194.29 [2423]~E(x24231,x24232)+E(f675(x24233,x24234,x24235,x24231,x24236),f675(x24233,x24234,x24235,x24232,x24236)) % 194.45/194.29 [2424]~E(x24241,x24242)+E(f675(x24243,x24244,x24245,x24246,x24241),f675(x24243,x24244,x24245,x24246,x24242)) % 194.45/194.29 [2425]~E(x24251,x24252)+E(f697(x24251,x24253),f697(x24252,x24253)) % 194.45/194.29 [2426]~E(x24261,x24262)+E(f697(x24263,x24261),f697(x24263,x24262)) % 194.45/194.29 [2427]~E(x24271,x24272)+E(f899(x24271,x24273,x24274),f899(x24272,x24273,x24274)) % 194.45/194.29 [2428]~E(x24281,x24282)+E(f899(x24283,x24281,x24284),f899(x24283,x24282,x24284)) % 194.45/194.29 [2429]~E(x24291,x24292)+E(f899(x24293,x24294,x24291),f899(x24293,x24294,x24292)) % 194.45/194.29 [2430]~E(x24301,x24302)+E(f707(x24301,x24303,x24304,x24305),f707(x24302,x24303,x24304,x24305)) % 194.45/194.29 [2431]~E(x24311,x24312)+E(f707(x24313,x24311,x24314,x24315),f707(x24313,x24312,x24314,x24315)) % 194.45/194.29 [2432]~E(x24321,x24322)+E(f707(x24323,x24324,x24321,x24325),f707(x24323,x24324,x24322,x24325)) % 194.45/194.29 [2433]~E(x24331,x24332)+E(f707(x24333,x24334,x24335,x24331),f707(x24333,x24334,x24335,x24332)) % 194.45/194.29 [2434]~E(x24341,x24342)+E(f411(x24341,x24343,x24344),f411(x24342,x24343,x24344)) % 194.45/194.29 [2435]~E(x24351,x24352)+E(f411(x24353,x24351,x24354),f411(x24353,x24352,x24354)) % 194.45/194.29 [2436]~E(x24361,x24362)+E(f411(x24363,x24364,x24361),f411(x24363,x24364,x24362)) % 194.45/194.29 [2437]~E(x24371,x24372)+E(f671(x24371,x24373,x24374,x24375,x24376),f671(x24372,x24373,x24374,x24375,x24376)) % 194.45/194.29 [2438]~E(x24381,x24382)+E(f671(x24383,x24381,x24384,x24385,x24386),f671(x24383,x24382,x24384,x24385,x24386)) % 194.45/194.29 [2439]~E(x24391,x24392)+E(f671(x24393,x24394,x24391,x24395,x24396),f671(x24393,x24394,x24392,x24395,x24396)) % 194.45/194.29 [2440]~E(x24401,x24402)+E(f671(x24403,x24404,x24405,x24401,x24406),f671(x24403,x24404,x24405,x24402,x24406)) % 194.45/194.29 [2441]~E(x24411,x24412)+E(f671(x24413,x24414,x24415,x24416,x24411),f671(x24413,x24414,x24415,x24416,x24412)) % 194.45/194.29 [2442]~E(x24421,x24422)+E(f771(x24421,x24423,x24424),f771(x24422,x24423,x24424)) % 194.45/194.29 [2443]~E(x24431,x24432)+E(f771(x24433,x24431,x24434),f771(x24433,x24432,x24434)) % 194.45/194.29 [2444]~E(x24441,x24442)+E(f771(x24443,x24444,x24441),f771(x24443,x24444,x24442)) % 194.45/194.29 [2445]~E(x24451,x24452)+E(f415(x24451,x24453,x24454,x24455),f415(x24452,x24453,x24454,x24455)) % 194.45/194.29 [2446]~E(x24461,x24462)+E(f415(x24463,x24461,x24464,x24465),f415(x24463,x24462,x24464,x24465)) % 194.45/194.29 [2447]~E(x24471,x24472)+E(f415(x24473,x24474,x24471,x24475),f415(x24473,x24474,x24472,x24475)) % 194.45/194.29 [2448]~E(x24481,x24482)+E(f415(x24483,x24484,x24485,x24481),f415(x24483,x24484,x24485,x24482)) % 194.45/194.29 [2449]~E(x24491,x24492)+E(f727(x24491,x24493),f727(x24492,x24493)) % 194.45/194.29 [2450]~E(x24501,x24502)+E(f727(x24503,x24501),f727(x24503,x24502)) % 194.45/194.29 [2451]~E(x24511,x24512)+E(f511(x24511,x24513,x24514,x24515,x24516),f511(x24512,x24513,x24514,x24515,x24516)) % 194.45/194.29 [2452]~E(x24521,x24522)+E(f511(x24523,x24521,x24524,x24525,x24526),f511(x24523,x24522,x24524,x24525,x24526)) % 194.45/194.29 [2453]~E(x24531,x24532)+E(f511(x24533,x24534,x24531,x24535,x24536),f511(x24533,x24534,x24532,x24535,x24536)) % 194.45/194.29 [2454]~E(x24541,x24542)+E(f511(x24543,x24544,x24545,x24541,x24546),f511(x24543,x24544,x24545,x24542,x24546)) % 194.45/194.29 [2455]~E(x24551,x24552)+E(f511(x24553,x24554,x24555,x24556,x24551),f511(x24553,x24554,x24555,x24556,x24552)) % 194.45/194.29 [2456]~E(x24561,x24562)+E(f347(x24561,x24563),f347(x24562,x24563)) % 194.45/194.29 [2457]~E(x24571,x24572)+E(f347(x24573,x24571),f347(x24573,x24572)) % 194.45/194.29 [2458]~E(x24581,x24582)+E(f846(x24581,x24583),f846(x24582,x24583)) % 194.45/194.29 [2459]~E(x24591,x24592)+E(f846(x24593,x24591),f846(x24593,x24592)) % 194.45/194.29 [2460]~E(x24601,x24602)+E(f751(x24601,x24603,x24604),f751(x24602,x24603,x24604)) % 194.45/194.29 [2461]~E(x24611,x24612)+E(f751(x24613,x24611,x24614),f751(x24613,x24612,x24614)) % 194.45/194.29 [2462]~E(x24621,x24622)+E(f751(x24623,x24624,x24621),f751(x24623,x24624,x24622)) % 194.45/194.29 [2463]~E(x24631,x24632)+E(f472(x24631,x24633,x24634,x24635),f472(x24632,x24633,x24634,x24635)) % 194.45/194.29 [2464]~E(x24641,x24642)+E(f472(x24643,x24641,x24644,x24645),f472(x24643,x24642,x24644,x24645)) % 194.45/194.29 [2465]~E(x24651,x24652)+E(f472(x24653,x24654,x24651,x24655),f472(x24653,x24654,x24652,x24655)) % 194.45/194.29 [2466]~E(x24661,x24662)+E(f472(x24663,x24664,x24665,x24661),f472(x24663,x24664,x24665,x24662)) % 194.45/194.29 [2467]~E(x24671,x24672)+E(f425(x24671,x24673,x24674,x24675,x24676),f425(x24672,x24673,x24674,x24675,x24676)) % 194.45/194.29 [2468]~E(x24681,x24682)+E(f425(x24683,x24681,x24684,x24685,x24686),f425(x24683,x24682,x24684,x24685,x24686)) % 194.45/194.29 [2469]~E(x24691,x24692)+E(f425(x24693,x24694,x24691,x24695,x24696),f425(x24693,x24694,x24692,x24695,x24696)) % 194.45/194.29 [2470]~E(x24701,x24702)+E(f425(x24703,x24704,x24705,x24701,x24706),f425(x24703,x24704,x24705,x24702,x24706)) % 194.45/194.29 [2471]~E(x24711,x24712)+E(f425(x24713,x24714,x24715,x24716,x24711),f425(x24713,x24714,x24715,x24716,x24712)) % 194.45/194.29 [2472]~E(x24721,x24722)+E(f856(x24721,x24723,x24724,x24725,x24726,x24727),f856(x24722,x24723,x24724,x24725,x24726,x24727)) % 194.45/194.29 [2473]~E(x24731,x24732)+E(f856(x24733,x24731,x24734,x24735,x24736,x24737),f856(x24733,x24732,x24734,x24735,x24736,x24737)) % 194.45/194.29 [2474]~E(x24741,x24742)+E(f856(x24743,x24744,x24741,x24745,x24746,x24747),f856(x24743,x24744,x24742,x24745,x24746,x24747)) % 194.45/194.29 [2475]~E(x24751,x24752)+E(f856(x24753,x24754,x24755,x24751,x24756,x24757),f856(x24753,x24754,x24755,x24752,x24756,x24757)) % 194.45/194.29 [2476]~E(x24761,x24762)+E(f856(x24763,x24764,x24765,x24766,x24761,x24767),f856(x24763,x24764,x24765,x24766,x24762,x24767)) % 194.45/194.29 [2477]~E(x24771,x24772)+E(f856(x24773,x24774,x24775,x24776,x24777,x24771),f856(x24773,x24774,x24775,x24776,x24777,x24772)) % 194.45/194.29 [2478]~E(x24781,x24782)+E(f394(x24781,x24783,x24784),f394(x24782,x24783,x24784)) % 194.45/194.29 [2479]~E(x24791,x24792)+E(f394(x24793,x24791,x24794),f394(x24793,x24792,x24794)) % 194.45/194.29 [2480]~E(x24801,x24802)+E(f394(x24803,x24804,x24801),f394(x24803,x24804,x24802)) % 194.45/194.29 [2481]~E(x24811,x24812)+E(f561(x24811,x24813,x24814,x24815,x24816),f561(x24812,x24813,x24814,x24815,x24816)) % 194.45/194.29 [2482]~E(x24821,x24822)+E(f561(x24823,x24821,x24824,x24825,x24826),f561(x24823,x24822,x24824,x24825,x24826)) % 194.45/194.29 [2483]~E(x24831,x24832)+E(f561(x24833,x24834,x24831,x24835,x24836),f561(x24833,x24834,x24832,x24835,x24836)) % 194.45/194.29 [2484]~E(x24841,x24842)+E(f561(x24843,x24844,x24845,x24841,x24846),f561(x24843,x24844,x24845,x24842,x24846)) % 194.45/194.29 [2485]~E(x24851,x24852)+E(f561(x24853,x24854,x24855,x24856,x24851),f561(x24853,x24854,x24855,x24856,x24852)) % 194.45/194.29 [2486]~E(x24861,x24862)+E(f208(x24861,x24863,x24864,x24865,x24866,x24867,x24868),f208(x24862,x24863,x24864,x24865,x24866,x24867,x24868)) % 194.45/194.29 [2487]~E(x24871,x24872)+E(f208(x24873,x24871,x24874,x24875,x24876,x24877,x24878),f208(x24873,x24872,x24874,x24875,x24876,x24877,x24878)) % 194.45/194.29 [2488]~E(x24881,x24882)+E(f208(x24883,x24884,x24881,x24885,x24886,x24887,x24888),f208(x24883,x24884,x24882,x24885,x24886,x24887,x24888)) % 194.45/194.29 [2489]~E(x24891,x24892)+E(f208(x24893,x24894,x24895,x24891,x24896,x24897,x24898),f208(x24893,x24894,x24895,x24892,x24896,x24897,x24898)) % 194.45/194.29 [2490]~E(x24901,x24902)+E(f208(x24903,x24904,x24905,x24906,x24901,x24907,x24908),f208(x24903,x24904,x24905,x24906,x24902,x24907,x24908)) % 194.45/194.29 [2491]~E(x24911,x24912)+E(f208(x24913,x24914,x24915,x24916,x24917,x24911,x24918),f208(x24913,x24914,x24915,x24916,x24917,x24912,x24918)) % 194.45/194.29 [2492]~E(x24921,x24922)+E(f208(x24923,x24924,x24925,x24926,x24927,x24928,x24921),f208(x24923,x24924,x24925,x24926,x24927,x24928,x24922)) % 194.45/194.29 [2493]~E(x24931,x24932)+E(f524(x24931,x24933,x24934),f524(x24932,x24933,x24934)) % 194.45/194.29 [2494]~E(x24941,x24942)+E(f524(x24943,x24941,x24944),f524(x24943,x24942,x24944)) % 194.45/194.29 [2495]~E(x24951,x24952)+E(f524(x24953,x24954,x24951),f524(x24953,x24954,x24952)) % 194.45/194.29 [2496]~E(x24961,x24962)+E(f417(x24961,x24963,x24964,x24965,x24966),f417(x24962,x24963,x24964,x24965,x24966)) % 194.45/194.29 [2497]~E(x24971,x24972)+E(f417(x24973,x24971,x24974,x24975,x24976),f417(x24973,x24972,x24974,x24975,x24976)) % 194.45/194.29 [2498]~E(x24981,x24982)+E(f417(x24983,x24984,x24981,x24985,x24986),f417(x24983,x24984,x24982,x24985,x24986)) % 194.45/194.29 [2499]~E(x24991,x24992)+E(f417(x24993,x24994,x24995,x24991,x24996),f417(x24993,x24994,x24995,x24992,x24996)) % 194.45/194.29 [2500]~E(x25001,x25002)+E(f417(x25003,x25004,x25005,x25006,x25001),f417(x25003,x25004,x25005,x25006,x25002)) % 194.45/194.29 [2501]~E(x25011,x25012)+E(f805(x25011,x25013,x25014,x25015),f805(x25012,x25013,x25014,x25015)) % 194.45/194.29 [2502]~E(x25021,x25022)+E(f805(x25023,x25021,x25024,x25025),f805(x25023,x25022,x25024,x25025)) % 194.45/194.29 [2503]~E(x25031,x25032)+E(f805(x25033,x25034,x25031,x25035),f805(x25033,x25034,x25032,x25035)) % 194.45/194.29 [2504]~E(x25041,x25042)+E(f805(x25043,x25044,x25045,x25041),f805(x25043,x25044,x25045,x25042)) % 194.45/194.29 [2505]~E(x25051,x25052)+E(f823(x25051,x25053,x25054,x25055),f823(x25052,x25053,x25054,x25055)) % 194.45/194.29 [2506]~E(x25061,x25062)+E(f823(x25063,x25061,x25064,x25065),f823(x25063,x25062,x25064,x25065)) % 194.45/194.29 [2507]~E(x25071,x25072)+E(f823(x25073,x25074,x25071,x25075),f823(x25073,x25074,x25072,x25075)) % 194.45/194.29 [2508]~E(x25081,x25082)+E(f823(x25083,x25084,x25085,x25081),f823(x25083,x25084,x25085,x25082)) % 194.45/194.29 [2509]~E(x25091,x25092)+E(f722(x25091,x25093,x25094),f722(x25092,x25093,x25094)) % 194.45/194.29 [2510]~E(x25101,x25102)+E(f722(x25103,x25101,x25104),f722(x25103,x25102,x25104)) % 194.45/194.29 [2511]~E(x25111,x25112)+E(f722(x25113,x25114,x25111),f722(x25113,x25114,x25112)) % 194.45/194.29 [2512]~E(x25121,x25122)+E(f820(x25121,x25123),f820(x25122,x25123)) % 194.45/194.29 [2513]~E(x25131,x25132)+E(f820(x25133,x25131),f820(x25133,x25132)) % 194.45/194.29 [2514]~E(x25141,x25142)+E(f237(x25141,x25143),f237(x25142,x25143)) % 194.45/194.29 [2515]~E(x25151,x25152)+E(f237(x25153,x25151),f237(x25153,x25152)) % 194.45/194.29 [2516]~E(x25161,x25162)+E(f503(x25161,x25163,x25164),f503(x25162,x25163,x25164)) % 194.45/194.29 [2517]~E(x25171,x25172)+E(f503(x25173,x25171,x25174),f503(x25173,x25172,x25174)) % 194.45/194.29 [2518]~E(x25181,x25182)+E(f503(x25183,x25184,x25181),f503(x25183,x25184,x25182)) % 194.45/194.29 [2519]~E(x25191,x25192)+E(f676(x25191,x25193,x25194,x25195),f676(x25192,x25193,x25194,x25195)) % 194.45/194.29 [2520]~E(x25201,x25202)+E(f676(x25203,x25201,x25204,x25205),f676(x25203,x25202,x25204,x25205)) % 194.45/194.29 [2521]~E(x25211,x25212)+E(f676(x25213,x25214,x25211,x25215),f676(x25213,x25214,x25212,x25215)) % 194.45/194.29 [2522]~E(x25221,x25222)+E(f676(x25223,x25224,x25225,x25221),f676(x25223,x25224,x25225,x25222)) % 194.45/194.29 [2523]~E(x25231,x25232)+E(f547(x25231,x25233,x25234,x25235),f547(x25232,x25233,x25234,x25235)) % 194.45/194.29 [2524]~E(x25241,x25242)+E(f547(x25243,x25241,x25244,x25245),f547(x25243,x25242,x25244,x25245)) % 194.45/194.29 [2525]~E(x25251,x25252)+E(f547(x25253,x25254,x25251,x25255),f547(x25253,x25254,x25252,x25255)) % 194.45/194.29 [2526]~E(x25261,x25262)+E(f547(x25263,x25264,x25265,x25261),f547(x25263,x25264,x25265,x25262)) % 194.45/194.29 [2527]~E(x25271,x25272)+E(f543(x25271,x25273,x25274,x25275,x25276,x25277,x25278),f543(x25272,x25273,x25274,x25275,x25276,x25277,x25278)) % 194.45/194.29 [2528]~E(x25281,x25282)+E(f543(x25283,x25281,x25284,x25285,x25286,x25287,x25288),f543(x25283,x25282,x25284,x25285,x25286,x25287,x25288)) % 194.45/194.29 [2529]~E(x25291,x25292)+E(f543(x25293,x25294,x25291,x25295,x25296,x25297,x25298),f543(x25293,x25294,x25292,x25295,x25296,x25297,x25298)) % 194.45/194.29 [2530]~E(x25301,x25302)+E(f543(x25303,x25304,x25305,x25301,x25306,x25307,x25308),f543(x25303,x25304,x25305,x25302,x25306,x25307,x25308)) % 194.45/194.29 [2531]~E(x25311,x25312)+E(f543(x25313,x25314,x25315,x25316,x25311,x25317,x25318),f543(x25313,x25314,x25315,x25316,x25312,x25317,x25318)) % 194.45/194.29 [2532]~E(x25321,x25322)+E(f543(x25323,x25324,x25325,x25326,x25327,x25321,x25328),f543(x25323,x25324,x25325,x25326,x25327,x25322,x25328)) % 194.45/194.29 [2533]~E(x25331,x25332)+E(f543(x25333,x25334,x25335,x25336,x25337,x25338,x25331),f543(x25333,x25334,x25335,x25336,x25337,x25338,x25332)) % 194.45/194.29 [2534]~E(x25341,x25342)+E(f725(x25341,x25343,x25344,x25345,x25346),f725(x25342,x25343,x25344,x25345,x25346)) % 194.45/194.29 [2535]~E(x25351,x25352)+E(f725(x25353,x25351,x25354,x25355,x25356),f725(x25353,x25352,x25354,x25355,x25356)) % 194.45/194.29 [2536]~E(x25361,x25362)+E(f725(x25363,x25364,x25361,x25365,x25366),f725(x25363,x25364,x25362,x25365,x25366)) % 194.45/194.29 [2537]~E(x25371,x25372)+E(f725(x25373,x25374,x25375,x25371,x25376),f725(x25373,x25374,x25375,x25372,x25376)) % 194.45/194.29 [2538]~E(x25381,x25382)+E(f725(x25383,x25384,x25385,x25386,x25381),f725(x25383,x25384,x25385,x25386,x25382)) % 194.45/194.29 [2539]~E(x25391,x25392)+E(f433(x25391,x25393),f433(x25392,x25393)) % 194.45/194.29 [2540]~E(x25401,x25402)+E(f433(x25403,x25401),f433(x25403,x25402)) % 194.45/194.29 [2541]~E(x25411,x25412)+E(f894(x25411,x25413),f894(x25412,x25413)) % 194.45/194.29 [2542]~E(x25421,x25422)+E(f894(x25423,x25421),f894(x25423,x25422)) % 194.45/194.29 [2543]~E(x25431,x25432)+E(f881(x25431,x25433,x25434,x25435,x25436),f881(x25432,x25433,x25434,x25435,x25436)) % 194.45/194.29 [2544]~E(x25441,x25442)+E(f881(x25443,x25441,x25444,x25445,x25446),f881(x25443,x25442,x25444,x25445,x25446)) % 194.45/194.29 [2545]~E(x25451,x25452)+E(f881(x25453,x25454,x25451,x25455,x25456),f881(x25453,x25454,x25452,x25455,x25456)) % 194.45/194.29 [2546]~E(x25461,x25462)+E(f881(x25463,x25464,x25465,x25461,x25466),f881(x25463,x25464,x25465,x25462,x25466)) % 194.45/194.29 [2547]~E(x25471,x25472)+E(f881(x25473,x25474,x25475,x25476,x25471),f881(x25473,x25474,x25475,x25476,x25472)) % 194.45/194.29 [2548]~E(x25481,x25482)+E(f191(x25481,x25483,x25484,x25485),f191(x25482,x25483,x25484,x25485)) % 194.45/194.29 [2549]~E(x25491,x25492)+E(f191(x25493,x25491,x25494,x25495),f191(x25493,x25492,x25494,x25495)) % 194.45/194.29 [2550]~E(x25501,x25502)+E(f191(x25503,x25504,x25501,x25505),f191(x25503,x25504,x25502,x25505)) % 194.45/194.29 [2551]~E(x25511,x25512)+E(f191(x25513,x25514,x25515,x25511),f191(x25513,x25514,x25515,x25512)) % 194.45/194.29 [2552]~E(x25521,x25522)+E(f588(x25521,x25523,x25524,x25525),f588(x25522,x25523,x25524,x25525)) % 194.45/194.29 [2553]~E(x25531,x25532)+E(f588(x25533,x25531,x25534,x25535),f588(x25533,x25532,x25534,x25535)) % 194.45/194.29 [2554]~E(x25541,x25542)+E(f588(x25543,x25544,x25541,x25545),f588(x25543,x25544,x25542,x25545)) % 194.45/194.29 [2555]~E(x25551,x25552)+E(f588(x25553,x25554,x25555,x25551),f588(x25553,x25554,x25555,x25552)) % 194.45/194.29 [2556]~E(x25561,x25562)+E(f653(x25561,x25563,x25564),f653(x25562,x25563,x25564)) % 194.45/194.29 [2557]~E(x25571,x25572)+E(f653(x25573,x25571,x25574),f653(x25573,x25572,x25574)) % 194.45/194.29 [2558]~E(x25581,x25582)+E(f653(x25583,x25584,x25581),f653(x25583,x25584,x25582)) % 194.45/194.29 [2559]~E(x25591,x25592)+E(f260(x25591,x25593,x25594,x25595,x25596),f260(x25592,x25593,x25594,x25595,x25596)) % 194.45/194.29 [2560]~E(x25601,x25602)+E(f260(x25603,x25601,x25604,x25605,x25606),f260(x25603,x25602,x25604,x25605,x25606)) % 194.45/194.29 [2561]~E(x25611,x25612)+E(f260(x25613,x25614,x25611,x25615,x25616),f260(x25613,x25614,x25612,x25615,x25616)) % 194.45/194.29 [2562]~E(x25621,x25622)+E(f260(x25623,x25624,x25625,x25621,x25626),f260(x25623,x25624,x25625,x25622,x25626)) % 194.45/194.29 [2563]~E(x25631,x25632)+E(f260(x25633,x25634,x25635,x25636,x25631),f260(x25633,x25634,x25635,x25636,x25632)) % 194.45/194.29 [2564]~E(x25641,x25642)+E(f447(x25641,x25643,x25644),f447(x25642,x25643,x25644)) % 194.45/194.29 [2565]~E(x25651,x25652)+E(f447(x25653,x25651,x25654),f447(x25653,x25652,x25654)) % 194.45/194.29 [2566]~E(x25661,x25662)+E(f447(x25663,x25664,x25661),f447(x25663,x25664,x25662)) % 194.45/194.29 [2567]~E(x25671,x25672)+E(f852(x25671,x25673),f852(x25672,x25673)) % 194.45/194.29 [2568]~E(x25681,x25682)+E(f852(x25683,x25681),f852(x25683,x25682)) % 194.45/194.29 [2569]~E(x25691,x25692)+E(f442(x25691,x25693),f442(x25692,x25693)) % 194.45/194.29 [2570]~E(x25701,x25702)+E(f442(x25703,x25701),f442(x25703,x25702)) % 194.45/194.29 [2571]~E(x25711,x25712)+E(f471(x25711,x25713,x25714,x25715),f471(x25712,x25713,x25714,x25715)) % 194.45/194.29 [2572]~E(x25721,x25722)+E(f471(x25723,x25721,x25724,x25725),f471(x25723,x25722,x25724,x25725)) % 194.45/194.29 [2573]~E(x25731,x25732)+E(f471(x25733,x25734,x25731,x25735),f471(x25733,x25734,x25732,x25735)) % 194.45/194.29 [2574]~E(x25741,x25742)+E(f471(x25743,x25744,x25745,x25741),f471(x25743,x25744,x25745,x25742)) % 194.45/194.29 [2575]~E(x25751,x25752)+E(f205(x25751),f205(x25752)) % 194.45/194.29 [2576]~E(x25761,x25762)+E(f603(x25761,x25763,x25764,x25765),f603(x25762,x25763,x25764,x25765)) % 194.45/194.29 [2577]~E(x25771,x25772)+E(f603(x25773,x25771,x25774,x25775),f603(x25773,x25772,x25774,x25775)) % 194.45/194.29 [2578]~E(x25781,x25782)+E(f603(x25783,x25784,x25781,x25785),f603(x25783,x25784,x25782,x25785)) % 194.45/194.29 [2579]~E(x25791,x25792)+E(f603(x25793,x25794,x25795,x25791),f603(x25793,x25794,x25795,x25792)) % 194.45/194.29 [2580]~E(x25801,x25802)+E(f337(x25801,x25803,x25804,x25805),f337(x25802,x25803,x25804,x25805)) % 194.45/194.29 [2581]~E(x25811,x25812)+E(f337(x25813,x25811,x25814,x25815),f337(x25813,x25812,x25814,x25815)) % 194.45/194.29 [2582]~E(x25821,x25822)+E(f337(x25823,x25824,x25821,x25825),f337(x25823,x25824,x25822,x25825)) % 194.45/194.29 [2583]~E(x25831,x25832)+E(f337(x25833,x25834,x25835,x25831),f337(x25833,x25834,x25835,x25832)) % 194.45/194.29 [2584]~E(x25841,x25842)+E(f386(x25841),f386(x25842)) % 194.45/194.29 [2585]~E(x25851,x25852)+E(f631(x25851,x25853,x25854),f631(x25852,x25853,x25854)) % 194.45/194.29 [2586]~E(x25861,x25862)+E(f631(x25863,x25861,x25864),f631(x25863,x25862,x25864)) % 194.45/194.29 [2587]~E(x25871,x25872)+E(f631(x25873,x25874,x25871),f631(x25873,x25874,x25872)) % 194.45/194.29 [2588]~E(x25881,x25882)+E(f632(x25881,x25883,x25884),f632(x25882,x25883,x25884)) % 194.45/194.29 [2589]~E(x25891,x25892)+E(f632(x25893,x25891,x25894),f632(x25893,x25892,x25894)) % 194.45/194.29 [2590]~E(x25901,x25902)+E(f632(x25903,x25904,x25901),f632(x25903,x25904,x25902)) % 194.45/194.29 [2591]~E(x25911,x25912)+E(f593(x25911,x25913,x25914,x25915,x25916,x25917),f593(x25912,x25913,x25914,x25915,x25916,x25917)) % 194.45/194.29 [2592]~E(x25921,x25922)+E(f593(x25923,x25921,x25924,x25925,x25926,x25927),f593(x25923,x25922,x25924,x25925,x25926,x25927)) % 194.45/194.29 [2593]~E(x25931,x25932)+E(f593(x25933,x25934,x25931,x25935,x25936,x25937),f593(x25933,x25934,x25932,x25935,x25936,x25937)) % 194.45/194.29 [2594]~E(x25941,x25942)+E(f593(x25943,x25944,x25945,x25941,x25946,x25947),f593(x25943,x25944,x25945,x25942,x25946,x25947)) % 194.45/194.29 [2595]~E(x25951,x25952)+E(f593(x25953,x25954,x25955,x25956,x25951,x25957),f593(x25953,x25954,x25955,x25956,x25952,x25957)) % 194.45/194.29 [2596]~E(x25961,x25962)+E(f593(x25963,x25964,x25965,x25966,x25967,x25961),f593(x25963,x25964,x25965,x25966,x25967,x25962)) % 194.45/194.29 [2597]~E(x25971,x25972)+E(f535(x25971,x25973,x25974),f535(x25972,x25973,x25974)) % 194.45/194.29 [2598]~E(x25981,x25982)+E(f535(x25983,x25981,x25984),f535(x25983,x25982,x25984)) % 194.45/194.29 [2599]~E(x25991,x25992)+E(f535(x25993,x25994,x25991),f535(x25993,x25994,x25992)) % 194.45/194.29 [2600]~E(x26001,x26002)+E(f883(x26001,x26003),f883(x26002,x26003)) % 194.45/194.29 [2601]~E(x26011,x26012)+E(f883(x26013,x26011),f883(x26013,x26012)) % 194.45/194.29 [2602]~E(x26021,x26022)+E(f429(x26021,x26023,x26024,x26025,x26026),f429(x26022,x26023,x26024,x26025,x26026)) % 194.45/194.29 [2603]~E(x26031,x26032)+E(f429(x26033,x26031,x26034,x26035,x26036),f429(x26033,x26032,x26034,x26035,x26036)) % 194.45/194.29 [2604]~E(x26041,x26042)+E(f429(x26043,x26044,x26041,x26045,x26046),f429(x26043,x26044,x26042,x26045,x26046)) % 194.45/194.29 [2605]~E(x26051,x26052)+E(f429(x26053,x26054,x26055,x26051,x26056),f429(x26053,x26054,x26055,x26052,x26056)) % 194.45/194.29 [2606]~E(x26061,x26062)+E(f429(x26063,x26064,x26065,x26066,x26061),f429(x26063,x26064,x26065,x26066,x26062)) % 194.45/194.29 [2607]~E(x26071,x26072)+E(f800(x26071,x26073,x26074,x26075),f800(x26072,x26073,x26074,x26075)) % 194.45/194.29 [2608]~E(x26081,x26082)+E(f800(x26083,x26081,x26084,x26085),f800(x26083,x26082,x26084,x26085)) % 194.45/194.29 [2609]~E(x26091,x26092)+E(f800(x26093,x26094,x26091,x26095),f800(x26093,x26094,x26092,x26095)) % 194.45/194.29 [2610]~E(x26101,x26102)+E(f800(x26103,x26104,x26105,x26101),f800(x26103,x26104,x26105,x26102)) % 194.45/194.29 [2611]~E(x26111,x26112)+E(f807(x26111,x26113,x26114),f807(x26112,x26113,x26114)) % 194.45/194.29 [2612]~E(x26121,x26122)+E(f807(x26123,x26121,x26124),f807(x26123,x26122,x26124)) % 194.45/194.29 [2613]~E(x26131,x26132)+E(f807(x26133,x26134,x26131),f807(x26133,x26134,x26132)) % 194.45/194.29 [2614]~E(x26141,x26142)+E(f395(x26141,x26143,x26144),f395(x26142,x26143,x26144)) % 194.45/194.29 [2615]~E(x26151,x26152)+E(f395(x26153,x26151,x26154),f395(x26153,x26152,x26154)) % 194.45/194.29 [2616]~E(x26161,x26162)+E(f395(x26163,x26164,x26161),f395(x26163,x26164,x26162)) % 194.45/194.29 [2617]~E(x26171,x26172)+E(f477(x26171,x26173,x26174),f477(x26172,x26173,x26174)) % 194.45/194.29 [2618]~E(x26181,x26182)+E(f477(x26183,x26181,x26184),f477(x26183,x26182,x26184)) % 194.45/194.29 [2619]~E(x26191,x26192)+E(f477(x26193,x26194,x26191),f477(x26193,x26194,x26192)) % 194.45/194.29 [2620]~E(x26201,x26202)+E(f361(x26201,x26203,x26204),f361(x26202,x26203,x26204)) % 194.45/194.29 [2621]~E(x26211,x26212)+E(f361(x26213,x26211,x26214),f361(x26213,x26212,x26214)) % 194.45/194.29 [2622]~E(x26221,x26222)+E(f361(x26223,x26224,x26221),f361(x26223,x26224,x26222)) % 194.45/194.29 [2623]~E(x26231,x26232)+E(f730(x26231,x26233,x26234,x26235,x26236),f730(x26232,x26233,x26234,x26235,x26236)) % 194.45/194.29 [2624]~E(x26241,x26242)+E(f730(x26243,x26241,x26244,x26245,x26246),f730(x26243,x26242,x26244,x26245,x26246)) % 194.45/194.29 [2625]~E(x26251,x26252)+E(f730(x26253,x26254,x26251,x26255,x26256),f730(x26253,x26254,x26252,x26255,x26256)) % 194.45/194.29 [2626]~E(x26261,x26262)+E(f730(x26263,x26264,x26265,x26261,x26266),f730(x26263,x26264,x26265,x26262,x26266)) % 194.45/194.29 [2627]~E(x26271,x26272)+E(f730(x26273,x26274,x26275,x26276,x26271),f730(x26273,x26274,x26275,x26276,x26272)) % 194.45/194.29 [2628]~E(x26281,x26282)+E(f436(x26281,x26283,x26284),f436(x26282,x26283,x26284)) % 194.45/194.29 [2629]~E(x26291,x26292)+E(f436(x26293,x26291,x26294),f436(x26293,x26292,x26294)) % 194.45/194.29 [2630]~E(x26301,x26302)+E(f436(x26303,x26304,x26301),f436(x26303,x26304,x26302)) % 194.45/194.29 [2631]~E(x26311,x26312)+E(f368(x26311,x26313,x26314,x26315),f368(x26312,x26313,x26314,x26315)) % 194.45/194.29 [2632]~E(x26321,x26322)+E(f368(x26323,x26321,x26324,x26325),f368(x26323,x26322,x26324,x26325)) % 194.45/194.29 [2633]~E(x26331,x26332)+E(f368(x26333,x26334,x26331,x26335),f368(x26333,x26334,x26332,x26335)) % 194.45/194.29 [2634]~E(x26341,x26342)+E(f368(x26343,x26344,x26345,x26341),f368(x26343,x26344,x26345,x26342)) % 194.45/194.29 [2635]~E(x26351,x26352)+E(f715(x26351,x26353,x26354,x26355),f715(x26352,x26353,x26354,x26355)) % 194.45/194.29 [2636]~E(x26361,x26362)+E(f715(x26363,x26361,x26364,x26365),f715(x26363,x26362,x26364,x26365)) % 194.45/194.29 [2637]~E(x26371,x26372)+E(f715(x26373,x26374,x26371,x26375),f715(x26373,x26374,x26372,x26375)) % 194.45/194.29 [2638]~E(x26381,x26382)+E(f715(x26383,x26384,x26385,x26381),f715(x26383,x26384,x26385,x26382)) % 194.45/194.29 [2639]~E(x26391,x26392)+E(f423(x26391,x26393,x26394),f423(x26392,x26393,x26394)) % 194.45/194.29 [2640]~E(x26401,x26402)+E(f423(x26403,x26401,x26404),f423(x26403,x26402,x26404)) % 194.45/194.29 [2641]~E(x26411,x26412)+E(f423(x26413,x26414,x26411),f423(x26413,x26414,x26412)) % 194.45/194.29 [2642]~E(x26421,x26422)+E(f379(x26421),f379(x26422)) % 194.45/194.29 [2643]~E(x26431,x26432)+E(f41(x26431),f41(x26432)) % 194.45/194.29 [2644]~E(x26441,x26442)+E(f590(x26441,x26443,x26444,x26445),f590(x26442,x26443,x26444,x26445)) % 194.45/194.29 [2645]~E(x26451,x26452)+E(f590(x26453,x26451,x26454,x26455),f590(x26453,x26452,x26454,x26455)) % 194.45/194.29 [2646]~E(x26461,x26462)+E(f590(x26463,x26464,x26461,x26465),f590(x26463,x26464,x26462,x26465)) % 194.45/194.29 [2647]~E(x26471,x26472)+E(f590(x26473,x26474,x26475,x26471),f590(x26473,x26474,x26475,x26472)) % 194.45/194.29 [2648]~E(x26481,x26482)+E(f552(x26481),f552(x26482)) % 194.45/194.29 [2649]~E(x26491,x26492)+E(f226(x26491,x26493,x26494,x26495,x26496),f226(x26492,x26493,x26494,x26495,x26496)) % 194.45/194.29 [2650]~E(x26501,x26502)+E(f226(x26503,x26501,x26504,x26505,x26506),f226(x26503,x26502,x26504,x26505,x26506)) % 194.45/194.29 [2651]~E(x26511,x26512)+E(f226(x26513,x26514,x26511,x26515,x26516),f226(x26513,x26514,x26512,x26515,x26516)) % 194.45/194.29 [2652]~E(x26521,x26522)+E(f226(x26523,x26524,x26525,x26521,x26526),f226(x26523,x26524,x26525,x26522,x26526)) % 194.45/194.29 [2653]~E(x26531,x26532)+E(f226(x26533,x26534,x26535,x26536,x26531),f226(x26533,x26534,x26535,x26536,x26532)) % 194.45/194.29 [2654]~E(x26541,x26542)+E(f608(x26541,x26543,x26544,x26545),f608(x26542,x26543,x26544,x26545)) % 194.45/194.29 [2655]~E(x26551,x26552)+E(f608(x26553,x26551,x26554,x26555),f608(x26553,x26552,x26554,x26555)) % 194.45/194.29 [2656]~E(x26561,x26562)+E(f608(x26563,x26564,x26561,x26565),f608(x26563,x26564,x26562,x26565)) % 194.45/194.29 [2657]~E(x26571,x26572)+E(f608(x26573,x26574,x26575,x26571),f608(x26573,x26574,x26575,x26572)) % 194.45/194.29 [2658]~E(x26581,x26582)+E(f576(x26581,x26583,x26584,x26585,x26586,x26587),f576(x26582,x26583,x26584,x26585,x26586,x26587)) % 194.45/194.29 [2659]~E(x26591,x26592)+E(f576(x26593,x26591,x26594,x26595,x26596,x26597),f576(x26593,x26592,x26594,x26595,x26596,x26597)) % 194.45/194.29 [2660]~E(x26601,x26602)+E(f576(x26603,x26604,x26601,x26605,x26606,x26607),f576(x26603,x26604,x26602,x26605,x26606,x26607)) % 194.45/194.29 [2661]~E(x26611,x26612)+E(f576(x26613,x26614,x26615,x26611,x26616,x26617),f576(x26613,x26614,x26615,x26612,x26616,x26617)) % 194.45/194.29 [2662]~E(x26621,x26622)+E(f576(x26623,x26624,x26625,x26626,x26621,x26627),f576(x26623,x26624,x26625,x26626,x26622,x26627)) % 194.45/194.29 [2663]~E(x26631,x26632)+E(f576(x26633,x26634,x26635,x26636,x26637,x26631),f576(x26633,x26634,x26635,x26636,x26637,x26632)) % 194.45/194.29 [2664]~E(x26641,x26642)+E(f742(x26641,x26643,x26644),f742(x26642,x26643,x26644)) % 194.45/194.29 [2665]~E(x26651,x26652)+E(f742(x26653,x26651,x26654),f742(x26653,x26652,x26654)) % 194.45/194.29 [2666]~E(x26661,x26662)+E(f742(x26663,x26664,x26661),f742(x26663,x26664,x26662)) % 194.45/194.29 [2667]~E(x26671,x26672)+E(f538(x26671,x26673,x26674,x26675,x26676,x26677,x26678),f538(x26672,x26673,x26674,x26675,x26676,x26677,x26678)) % 194.45/194.29 [2668]~E(x26681,x26682)+E(f538(x26683,x26681,x26684,x26685,x26686,x26687,x26688),f538(x26683,x26682,x26684,x26685,x26686,x26687,x26688)) % 194.45/194.29 [2669]~E(x26691,x26692)+E(f538(x26693,x26694,x26691,x26695,x26696,x26697,x26698),f538(x26693,x26694,x26692,x26695,x26696,x26697,x26698)) % 194.45/194.29 [2670]~E(x26701,x26702)+E(f538(x26703,x26704,x26705,x26701,x26706,x26707,x26708),f538(x26703,x26704,x26705,x26702,x26706,x26707,x26708)) % 194.45/194.29 [2671]~E(x26711,x26712)+E(f538(x26713,x26714,x26715,x26716,x26711,x26717,x26718),f538(x26713,x26714,x26715,x26716,x26712,x26717,x26718)) % 194.45/194.29 [2672]~E(x26721,x26722)+E(f538(x26723,x26724,x26725,x26726,x26727,x26721,x26728),f538(x26723,x26724,x26725,x26726,x26727,x26722,x26728)) % 194.45/194.29 [2673]~E(x26731,x26732)+E(f538(x26733,x26734,x26735,x26736,x26737,x26738,x26731),f538(x26733,x26734,x26735,x26736,x26737,x26738,x26732)) % 194.45/194.29 [2674]~E(x26741,x26742)+E(f537(x26741,x26743,x26744,x26745),f537(x26742,x26743,x26744,x26745)) % 194.45/194.29 [2675]~E(x26751,x26752)+E(f537(x26753,x26751,x26754,x26755),f537(x26753,x26752,x26754,x26755)) % 194.45/194.29 [2676]~E(x26761,x26762)+E(f537(x26763,x26764,x26761,x26765),f537(x26763,x26764,x26762,x26765)) % 194.45/194.29 [2677]~E(x26771,x26772)+E(f537(x26773,x26774,x26775,x26771),f537(x26773,x26774,x26775,x26772)) % 194.45/194.29 [2678]~E(x26781,x26782)+E(f564(x26781,x26783,x26784,x26785,x26786),f564(x26782,x26783,x26784,x26785,x26786)) % 194.45/194.29 [2679]~E(x26791,x26792)+E(f564(x26793,x26791,x26794,x26795,x26796),f564(x26793,x26792,x26794,x26795,x26796)) % 194.45/194.29 [2680]~E(x26801,x26802)+E(f564(x26803,x26804,x26801,x26805,x26806),f564(x26803,x26804,x26802,x26805,x26806)) % 194.45/194.29 [2681]~E(x26811,x26812)+E(f564(x26813,x26814,x26815,x26811,x26816),f564(x26813,x26814,x26815,x26812,x26816)) % 194.45/194.29 [2682]~E(x26821,x26822)+E(f564(x26823,x26824,x26825,x26826,x26821),f564(x26823,x26824,x26825,x26826,x26822)) % 194.45/194.29 [2683]~E(x26831,x26832)+E(f734(x26831,x26833,x26834),f734(x26832,x26833,x26834)) % 194.45/194.29 [2684]~E(x26841,x26842)+E(f734(x26843,x26841,x26844),f734(x26843,x26842,x26844)) % 194.45/194.29 [2685]~E(x26851,x26852)+E(f734(x26853,x26854,x26851),f734(x26853,x26854,x26852)) % 194.45/194.29 [2686]~E(x26861,x26862)+E(f567(x26861,x26863,x26864,x26865,x26866,x26867),f567(x26862,x26863,x26864,x26865,x26866,x26867)) % 194.45/194.29 [2687]~E(x26871,x26872)+E(f567(x26873,x26871,x26874,x26875,x26876,x26877),f567(x26873,x26872,x26874,x26875,x26876,x26877)) % 194.45/194.29 [2688]~E(x26881,x26882)+E(f567(x26883,x26884,x26881,x26885,x26886,x26887),f567(x26883,x26884,x26882,x26885,x26886,x26887)) % 194.45/194.29 [2689]~E(x26891,x26892)+E(f567(x26893,x26894,x26895,x26891,x26896,x26897),f567(x26893,x26894,x26895,x26892,x26896,x26897)) % 194.45/194.29 [2690]~E(x26901,x26902)+E(f567(x26903,x26904,x26905,x26906,x26901,x26907),f567(x26903,x26904,x26905,x26906,x26902,x26907)) % 194.45/194.29 [2691]~E(x26911,x26912)+E(f567(x26913,x26914,x26915,x26916,x26917,x26911),f567(x26913,x26914,x26915,x26916,x26917,x26912)) % 194.45/194.29 [2692]~E(x26921,x26922)+E(f580(x26921,x26923,x26924,x26925,x26926,x26927,x26928,x26929),f580(x26922,x26923,x26924,x26925,x26926,x26927,x26928,x26929)) % 194.45/194.29 [2693]~E(x26931,x26932)+E(f580(x26933,x26931,x26934,x26935,x26936,x26937,x26938,x26939),f580(x26933,x26932,x26934,x26935,x26936,x26937,x26938,x26939)) % 194.45/194.29 [2694]~E(x26941,x26942)+E(f580(x26943,x26944,x26941,x26945,x26946,x26947,x26948,x26949),f580(x26943,x26944,x26942,x26945,x26946,x26947,x26948,x26949)) % 194.45/194.29 [2695]~E(x26951,x26952)+E(f580(x26953,x26954,x26955,x26951,x26956,x26957,x26958,x26959),f580(x26953,x26954,x26955,x26952,x26956,x26957,x26958,x26959)) % 194.45/194.29 [2696]~E(x26961,x26962)+E(f580(x26963,x26964,x26965,x26966,x26961,x26967,x26968,x26969),f580(x26963,x26964,x26965,x26966,x26962,x26967,x26968,x26969)) % 194.45/194.29 [2697]~E(x26971,x26972)+E(f580(x26973,x26974,x26975,x26976,x26977,x26971,x26978,x26979),f580(x26973,x26974,x26975,x26976,x26977,x26972,x26978,x26979)) % 194.45/194.29 [2698]~E(x26981,x26982)+E(f580(x26983,x26984,x26985,x26986,x26987,x26988,x26981,x26989),f580(x26983,x26984,x26985,x26986,x26987,x26988,x26982,x26989)) % 194.45/194.29 [2699]~E(x26991,x26992)+E(f580(x26993,x26994,x26995,x26996,x26997,x26998,x26999,x26991),f580(x26993,x26994,x26995,x26996,x26997,x26998,x26999,x26992)) % 194.45/194.29 [2700]~E(x27001,x27002)+E(f385(x27001),f385(x27002)) % 194.45/194.29 [2701]~E(x27011,x27012)+E(f586(x27011,x27013),f586(x27012,x27013)) % 194.45/194.29 [2702]~E(x27021,x27022)+E(f586(x27023,x27021),f586(x27023,x27022)) % 194.45/194.29 [2703]~E(x27031,x27032)+E(f612(x27031,x27033),f612(x27032,x27033)) % 194.45/194.29 [2704]~E(x27041,x27042)+E(f612(x27043,x27041),f612(x27043,x27042)) % 194.45/194.29 [2705]~E(x27051,x27052)+E(f646(x27051,x27053,x27054,x27055,x27056),f646(x27052,x27053,x27054,x27055,x27056)) % 194.45/194.29 [2706]~E(x27061,x27062)+E(f646(x27063,x27061,x27064,x27065,x27066),f646(x27063,x27062,x27064,x27065,x27066)) % 194.45/194.29 [2707]~E(x27071,x27072)+E(f646(x27073,x27074,x27071,x27075,x27076),f646(x27073,x27074,x27072,x27075,x27076)) % 194.45/194.29 [2708]~E(x27081,x27082)+E(f646(x27083,x27084,x27085,x27081,x27086),f646(x27083,x27084,x27085,x27082,x27086)) % 194.45/194.29 [2709]~E(x27091,x27092)+E(f646(x27093,x27094,x27095,x27096,x27091),f646(x27093,x27094,x27095,x27096,x27092)) % 194.45/194.29 [2710]~E(x27101,x27102)+E(f772(x27101,x27103,x27104,x27105),f772(x27102,x27103,x27104,x27105)) % 194.45/194.29 [2711]~E(x27111,x27112)+E(f772(x27113,x27111,x27114,x27115),f772(x27113,x27112,x27114,x27115)) % 194.45/194.29 [2712]~E(x27121,x27122)+E(f772(x27123,x27124,x27121,x27125),f772(x27123,x27124,x27122,x27125)) % 194.45/194.29 [2713]~E(x27131,x27132)+E(f772(x27133,x27134,x27135,x27131),f772(x27133,x27134,x27135,x27132)) % 194.45/194.29 [2714]~E(x27141,x27142)+E(f329(x27141),f329(x27142)) % 194.45/194.29 [2715]~E(x27151,x27152)+E(f779(x27151,x27153,x27154,x27155,x27156,x27157,x27158),f779(x27152,x27153,x27154,x27155,x27156,x27157,x27158)) % 194.45/194.29 [2716]~E(x27161,x27162)+E(f779(x27163,x27161,x27164,x27165,x27166,x27167,x27168),f779(x27163,x27162,x27164,x27165,x27166,x27167,x27168)) % 194.45/194.29 [2717]~E(x27171,x27172)+E(f779(x27173,x27174,x27171,x27175,x27176,x27177,x27178),f779(x27173,x27174,x27172,x27175,x27176,x27177,x27178)) % 194.45/194.29 [2718]~E(x27181,x27182)+E(f779(x27183,x27184,x27185,x27181,x27186,x27187,x27188),f779(x27183,x27184,x27185,x27182,x27186,x27187,x27188)) % 194.45/194.29 [2719]~E(x27191,x27192)+E(f779(x27193,x27194,x27195,x27196,x27191,x27197,x27198),f779(x27193,x27194,x27195,x27196,x27192,x27197,x27198)) % 194.45/194.29 [2720]~E(x27201,x27202)+E(f779(x27203,x27204,x27205,x27206,x27207,x27201,x27208),f779(x27203,x27204,x27205,x27206,x27207,x27202,x27208)) % 194.45/194.29 [2721]~E(x27211,x27212)+E(f779(x27213,x27214,x27215,x27216,x27217,x27218,x27211),f779(x27213,x27214,x27215,x27216,x27217,x27218,x27212)) % 194.45/194.29 [2722]~E(x27221,x27222)+E(f377(x27221),f377(x27222)) % 194.45/194.29 [2723]~E(x27231,x27232)+E(f225(x27231,x27233,x27234,x27235,x27236),f225(x27232,x27233,x27234,x27235,x27236)) % 194.45/194.29 [2724]~E(x27241,x27242)+E(f225(x27243,x27241,x27244,x27245,x27246),f225(x27243,x27242,x27244,x27245,x27246)) % 194.45/194.29 [2725]~E(x27251,x27252)+E(f225(x27253,x27254,x27251,x27255,x27256),f225(x27253,x27254,x27252,x27255,x27256)) % 194.45/194.29 [2726]~E(x27261,x27262)+E(f225(x27263,x27264,x27265,x27261,x27266),f225(x27263,x27264,x27265,x27262,x27266)) % 194.45/194.29 [2727]~E(x27271,x27272)+E(f225(x27273,x27274,x27275,x27276,x27271),f225(x27273,x27274,x27275,x27276,x27272)) % 194.45/194.29 [2728]~E(x27281,x27282)+E(f907(x27281,x27283),f907(x27282,x27283)) % 194.45/194.29 [2729]~E(x27291,x27292)+E(f907(x27293,x27291),f907(x27293,x27292)) % 194.45/194.29 [2730]~E(x27301,x27302)+E(f23(x27301,x27303),f23(x27302,x27303)) % 194.45/194.29 [2731]~E(x27311,x27312)+E(f23(x27313,x27311),f23(x27313,x27312)) % 194.45/194.29 [2732]~E(x27321,x27322)+E(f596(x27321,x27323),f596(x27322,x27323)) % 194.45/194.29 [2733]~E(x27331,x27332)+E(f596(x27333,x27331),f596(x27333,x27332)) % 194.45/194.29 [2734]~E(x27341,x27342)+E(f784(x27341,x27343,x27344),f784(x27342,x27343,x27344)) % 194.45/194.29 [2735]~E(x27351,x27352)+E(f784(x27353,x27351,x27354),f784(x27353,x27352,x27354)) % 194.45/194.29 [2736]~E(x27361,x27362)+E(f784(x27363,x27364,x27361),f784(x27363,x27364,x27362)) % 194.45/194.29 [2737]~E(x27371,x27372)+E(f678(x27371,x27373),f678(x27372,x27373)) % 194.45/194.29 [2738]~E(x27381,x27382)+E(f678(x27383,x27381),f678(x27383,x27382)) % 194.45/194.29 [2739]~E(x27391,x27392)+E(f474(x27391,x27393,x27394,x27395),f474(x27392,x27393,x27394,x27395)) % 194.45/194.29 [2740]~E(x27401,x27402)+E(f474(x27403,x27401,x27404,x27405),f474(x27403,x27402,x27404,x27405)) % 194.45/194.29 [2741]~E(x27411,x27412)+E(f474(x27413,x27414,x27411,x27415),f474(x27413,x27414,x27412,x27415)) % 194.45/194.29 [2742]~E(x27421,x27422)+E(f474(x27423,x27424,x27425,x27421),f474(x27423,x27424,x27425,x27422)) % 194.45/194.29 [2743]~E(x27431,x27432)+E(f718(x27431,x27433,x27434,x27435,x27436),f718(x27432,x27433,x27434,x27435,x27436)) % 194.45/194.29 [2744]~E(x27441,x27442)+E(f718(x27443,x27441,x27444,x27445,x27446),f718(x27443,x27442,x27444,x27445,x27446)) % 194.45/194.29 [2745]~E(x27451,x27452)+E(f718(x27453,x27454,x27451,x27455,x27456),f718(x27453,x27454,x27452,x27455,x27456)) % 194.45/194.29 [2746]~E(x27461,x27462)+E(f718(x27463,x27464,x27465,x27461,x27466),f718(x27463,x27464,x27465,x27462,x27466)) % 194.45/194.29 [2747]~E(x27471,x27472)+E(f718(x27473,x27474,x27475,x27476,x27471),f718(x27473,x27474,x27475,x27476,x27472)) % 194.45/194.29 [2748]~E(x27481,x27482)+E(f339(x27481,x27483,x27484),f339(x27482,x27483,x27484)) % 194.45/194.29 [2749]~E(x27491,x27492)+E(f339(x27493,x27491,x27494),f339(x27493,x27492,x27494)) % 194.45/194.29 [2750]~E(x27501,x27502)+E(f339(x27503,x27504,x27501),f339(x27503,x27504,x27502)) % 194.45/194.29 [2751]~E(x27511,x27512)+E(f851(x27511,x27513),f851(x27512,x27513)) % 194.45/194.29 [2752]~E(x27521,x27522)+E(f851(x27523,x27521),f851(x27523,x27522)) % 194.45/194.29 [2753]~E(x27531,x27532)+E(f95(x27531,x27533,x27534,x27535),f95(x27532,x27533,x27534,x27535)) % 194.45/194.29 [2754]~E(x27541,x27542)+E(f95(x27543,x27541,x27544,x27545),f95(x27543,x27542,x27544,x27545)) % 194.45/194.29 [2755]~E(x27551,x27552)+E(f95(x27553,x27554,x27551,x27555),f95(x27553,x27554,x27552,x27555)) % 194.45/194.29 [2756]~E(x27561,x27562)+E(f95(x27563,x27564,x27565,x27561),f95(x27563,x27564,x27565,x27562)) % 194.45/194.29 [2757]~E(x27571,x27572)+E(f819(x27571),f819(x27572)) % 194.45/194.29 [2758]~E(x27581,x27582)+E(f230(x27581,x27583,x27584,x27585),f230(x27582,x27583,x27584,x27585)) % 194.45/194.29 [2759]~E(x27591,x27592)+E(f230(x27593,x27591,x27594,x27595),f230(x27593,x27592,x27594,x27595)) % 194.45/194.29 [2760]~E(x27601,x27602)+E(f230(x27603,x27604,x27601,x27605),f230(x27603,x27604,x27602,x27605)) % 194.45/194.29 [2761]~E(x27611,x27612)+E(f230(x27613,x27614,x27615,x27611),f230(x27613,x27614,x27615,x27612)) % 194.45/194.29 [2762]~E(x27621,x27622)+E(f274(x27621,x27623,x27624,x27625),f274(x27622,x27623,x27624,x27625)) % 194.45/194.29 [2763]~E(x27631,x27632)+E(f274(x27633,x27631,x27634,x27635),f274(x27633,x27632,x27634,x27635)) % 194.45/194.29 [2764]~E(x27641,x27642)+E(f274(x27643,x27644,x27641,x27645),f274(x27643,x27644,x27642,x27645)) % 194.45/194.29 [2765]~E(x27651,x27652)+E(f274(x27653,x27654,x27655,x27651),f274(x27653,x27654,x27655,x27652)) % 194.45/194.29 [2766]~E(x27661,x27662)+E(f789(x27661,x27663,x27664),f789(x27662,x27663,x27664)) % 194.45/194.29 [2767]~E(x27671,x27672)+E(f789(x27673,x27671,x27674),f789(x27673,x27672,x27674)) % 194.45/194.29 [2768]~E(x27681,x27682)+E(f789(x27683,x27684,x27681),f789(x27683,x27684,x27682)) % 194.45/194.29 [2769]~E(x27691,x27692)+E(f246(x27691,x27693,x27694,x27695,x27696,x27697),f246(x27692,x27693,x27694,x27695,x27696,x27697)) % 194.45/194.29 [2770]~E(x27701,x27702)+E(f246(x27703,x27701,x27704,x27705,x27706,x27707),f246(x27703,x27702,x27704,x27705,x27706,x27707)) % 194.45/194.29 [2771]~E(x27711,x27712)+E(f246(x27713,x27714,x27711,x27715,x27716,x27717),f246(x27713,x27714,x27712,x27715,x27716,x27717)) % 194.45/194.29 [2772]~E(x27721,x27722)+E(f246(x27723,x27724,x27725,x27721,x27726,x27727),f246(x27723,x27724,x27725,x27722,x27726,x27727)) % 194.45/194.29 [2773]~E(x27731,x27732)+E(f246(x27733,x27734,x27735,x27736,x27731,x27737),f246(x27733,x27734,x27735,x27736,x27732,x27737)) % 194.45/194.29 [2774]~E(x27741,x27742)+E(f246(x27743,x27744,x27745,x27746,x27747,x27741),f246(x27743,x27744,x27745,x27746,x27747,x27742)) % 194.45/194.29 [2775]~E(x27751,x27752)+E(f435(x27751,x27753,x27754),f435(x27752,x27753,x27754)) % 194.45/194.29 [2776]~E(x27761,x27762)+E(f435(x27763,x27761,x27764),f435(x27763,x27762,x27764)) % 194.45/194.29 [2777]~E(x27771,x27772)+E(f435(x27773,x27774,x27771),f435(x27773,x27774,x27772)) % 194.45/194.29 [2778]~E(x27781,x27782)+E(f587(x27781,x27783),f587(x27782,x27783)) % 194.45/194.29 [2779]~E(x27791,x27792)+E(f587(x27793,x27791),f587(x27793,x27792)) % 194.45/194.29 [2780]~E(x27801,x27802)+E(f356(x27801,x27803,x27804,x27805,x27806),f356(x27802,x27803,x27804,x27805,x27806)) % 194.45/194.29 [2781]~E(x27811,x27812)+E(f356(x27813,x27811,x27814,x27815,x27816),f356(x27813,x27812,x27814,x27815,x27816)) % 194.45/194.29 [2782]~E(x27821,x27822)+E(f356(x27823,x27824,x27821,x27825,x27826),f356(x27823,x27824,x27822,x27825,x27826)) % 194.45/194.29 [2783]~E(x27831,x27832)+E(f356(x27833,x27834,x27835,x27831,x27836),f356(x27833,x27834,x27835,x27832,x27836)) % 194.45/194.29 [2784]~E(x27841,x27842)+E(f356(x27843,x27844,x27845,x27846,x27841),f356(x27843,x27844,x27845,x27846,x27842)) % 194.45/194.29 [2785]~E(x27851,x27852)+E(f364(x27851,x27853),f364(x27852,x27853)) % 194.45/194.29 [2786]~E(x27861,x27862)+E(f364(x27863,x27861),f364(x27863,x27862)) % 194.45/194.29 [2787]~E(x27871,x27872)+E(f443(x27871),f443(x27872)) % 194.45/194.29 [2788]~E(x27881,x27882)+E(f853(x27881,x27883,x27884,x27885),f853(x27882,x27883,x27884,x27885)) % 194.45/194.29 [2789]~E(x27891,x27892)+E(f853(x27893,x27891,x27894,x27895),f853(x27893,x27892,x27894,x27895)) % 194.45/194.29 [2790]~E(x27901,x27902)+E(f853(x27903,x27904,x27901,x27905),f853(x27903,x27904,x27902,x27905)) % 194.45/194.29 [2791]~E(x27911,x27912)+E(f853(x27913,x27914,x27915,x27911),f853(x27913,x27914,x27915,x27912)) % 194.45/194.29 [2792]~P1(x27921)+P1(x27922)+~E(x27921,x27922) % 194.45/194.29 [2793]~P2(x27931)+P2(x27932)+~E(x27931,x27932) % 194.45/194.29 [2794]~P61(x27941)+P61(x27942)+~E(x27941,x27942) % 194.45/194.29 [2795]~P112(x27951)+P112(x27952)+~E(x27951,x27952) % 194.45/194.29 [2796]P29(x27962,x27963,x27964)+~E(x27961,x27962)+~P29(x27961,x27963,x27964) % 194.45/194.29 [2797]P29(x27973,x27972,x27974)+~E(x27971,x27972)+~P29(x27973,x27971,x27974) % 194.45/194.29 [2798]P29(x27983,x27984,x27982)+~E(x27981,x27982)+~P29(x27983,x27984,x27981) % 194.45/194.29 [2799]P10(x27992,x27993)+~E(x27991,x27992)+~P10(x27991,x27993) % 194.45/194.29 [2800]P10(x28003,x28002)+~E(x28001,x28002)+~P10(x28003,x28001) % 194.45/194.29 [2801]~P62(x28011)+P62(x28012)+~E(x28011,x28012) % 194.45/194.29 [2802]~P95(x28021)+P95(x28022)+~E(x28021,x28022) % 194.45/194.29 [2803]~P111(x28031)+P111(x28032)+~E(x28031,x28032) % 194.45/194.29 [2804]~P96(x28041)+P96(x28042)+~E(x28041,x28042) % 194.45/194.29 [2805]~P138(x28051)+P138(x28052)+~E(x28051,x28052) % 194.45/194.29 [2806]~P102(x28061)+P102(x28062)+~E(x28061,x28062) % 194.45/194.29 [2807]~P106(x28071)+P106(x28072)+~E(x28071,x28072) % 194.45/194.29 [2808]~P86(x28081)+P86(x28082)+~E(x28081,x28082) % 194.45/194.29 [2809]~P93(x28091)+P93(x28092)+~E(x28091,x28092) % 194.45/194.29 [2810]~P113(x28101)+P113(x28102)+~E(x28101,x28102) % 194.45/194.29 [2811]~P129(x28111)+P129(x28112)+~E(x28111,x28112) % 194.45/194.29 [2812]~P72(x28121)+P72(x28122)+~E(x28121,x28122) % 194.45/194.29 [2813]P22(x28132,x28133,x28134,x28135)+~E(x28131,x28132)+~P22(x28131,x28133,x28134,x28135) % 194.45/194.29 [2814]P22(x28143,x28142,x28144,x28145)+~E(x28141,x28142)+~P22(x28143,x28141,x28144,x28145) % 194.45/194.29 [2815]P22(x28153,x28154,x28152,x28155)+~E(x28151,x28152)+~P22(x28153,x28154,x28151,x28155) % 194.45/194.29 [2816]P22(x28163,x28164,x28165,x28162)+~E(x28161,x28162)+~P22(x28163,x28164,x28165,x28161) % 194.45/194.29 [2817]~P114(x28171)+P114(x28172)+~E(x28171,x28172) % 194.45/194.29 [2818]~P92(x28181)+P92(x28182)+~E(x28181,x28182) % 194.45/194.29 [2819]~P100(x28191)+P100(x28192)+~E(x28191,x28192) % 194.45/194.29 [2820]~P115(x28201)+P115(x28202)+~E(x28201,x28202) % 194.45/194.29 [2821]~P63(x28211)+P63(x28212)+~E(x28211,x28212) % 194.45/194.29 [2822]P40(x28222,x28223,x28224,x28225)+~E(x28221,x28222)+~P40(x28221,x28223,x28224,x28225) % 194.45/194.29 [2823]P40(x28233,x28232,x28234,x28235)+~E(x28231,x28232)+~P40(x28233,x28231,x28234,x28235) % 194.45/194.29 [2824]P40(x28243,x28244,x28242,x28245)+~E(x28241,x28242)+~P40(x28243,x28244,x28241,x28245) % 194.45/194.29 [2825]P40(x28253,x28254,x28255,x28252)+~E(x28251,x28252)+~P40(x28253,x28254,x28255,x28251) % 194.45/194.29 [2826]~P121(x28261)+P121(x28262)+~E(x28261,x28262) % 194.45/194.29 [2827]~P64(x28271)+P64(x28272)+~E(x28271,x28272) % 194.45/194.29 [2828]~P73(x28281)+P73(x28282)+~E(x28281,x28282) % 194.45/194.29 [2829]~P39(x28291)+P39(x28292)+~E(x28291,x28292) % 194.45/194.29 [2830]~P71(x28301)+P71(x28302)+~E(x28301,x28302) % 194.45/194.29 [2831]~P84(x28311)+P84(x28312)+~E(x28311,x28312) % 194.45/194.29 [2832]~P85(x28321)+P85(x28322)+~E(x28321,x28322) % 194.45/194.29 [2833]~P105(x28331)+P105(x28332)+~E(x28331,x28332) % 194.45/194.29 [2834]P36(x28342,x28343)+~E(x28341,x28342)+~P36(x28341,x28343) % 194.45/194.29 [2835]P36(x28353,x28352)+~E(x28351,x28352)+~P36(x28353,x28351) % 194.45/194.29 [2836]P57(x28362,x28363,x28364,x28365,x28366)+~E(x28361,x28362)+~P57(x28361,x28363,x28364,x28365,x28366) % 194.45/194.29 [2837]P57(x28373,x28372,x28374,x28375,x28376)+~E(x28371,x28372)+~P57(x28373,x28371,x28374,x28375,x28376) % 194.45/194.29 [2838]P57(x28383,x28384,x28382,x28385,x28386)+~E(x28381,x28382)+~P57(x28383,x28384,x28381,x28385,x28386) % 194.45/194.29 [2839]P57(x28393,x28394,x28395,x28392,x28396)+~E(x28391,x28392)+~P57(x28393,x28394,x28395,x28391,x28396) % 194.45/194.29 [2840]P57(x28403,x28404,x28405,x28406,x28402)+~E(x28401,x28402)+~P57(x28403,x28404,x28405,x28406,x28401) % 194.45/194.29 [2841]P59(x28412,x28413,x28414,x28415)+~E(x28411,x28412)+~P59(x28411,x28413,x28414,x28415) % 194.45/194.29 [2842]P59(x28423,x28422,x28424,x28425)+~E(x28421,x28422)+~P59(x28423,x28421,x28424,x28425) % 194.45/194.29 [2843]P59(x28433,x28434,x28432,x28435)+~E(x28431,x28432)+~P59(x28433,x28434,x28431,x28435) % 194.45/194.29 [2844]P59(x28443,x28444,x28445,x28442)+~E(x28441,x28442)+~P59(x28443,x28444,x28445,x28441) % 194.45/194.29 [2845]~P65(x28451)+P65(x28452)+~E(x28451,x28452) % 194.45/194.29 [2846]~P90(x28461)+P90(x28462)+~E(x28461,x28462) % 194.45/194.29 [2847]~P107(x28471)+P107(x28472)+~E(x28471,x28472) % 194.45/194.29 [2848]~P101(x28481)+P101(x28482)+~E(x28481,x28482) % 194.45/194.29 [2849]P150(x28492,x28493,x28494)+~E(x28491,x28492)+~P150(x28491,x28493,x28494) % 194.45/194.29 [2850]P150(x28503,x28502,x28504)+~E(x28501,x28502)+~P150(x28503,x28501,x28504) % 194.45/194.29 [2851]P150(x28513,x28514,x28512)+~E(x28511,x28512)+~P150(x28513,x28514,x28511) % 194.45/194.29 [2852]~P91(x28521)+P91(x28522)+~E(x28521,x28522) % 194.45/194.29 [2853]P5(x28532,x28533,x28534)+~E(x28531,x28532)+~P5(x28531,x28533,x28534) % 194.45/194.29 [2854]P5(x28543,x28542,x28544)+~E(x28541,x28542)+~P5(x28543,x28541,x28544) % 194.45/194.29 [2855]P5(x28553,x28554,x28552)+~E(x28551,x28552)+~P5(x28553,x28554,x28551) % 194.45/194.29 [2856]~P74(x28561)+P74(x28562)+~E(x28561,x28562) % 194.45/194.29 [2857]P149(x28572,x28573,x28574)+~E(x28571,x28572)+~P149(x28571,x28573,x28574) % 194.45/194.29 [2858]P149(x28583,x28582,x28584)+~E(x28581,x28582)+~P149(x28583,x28581,x28584) % 194.45/194.29 [2859]P149(x28593,x28594,x28592)+~E(x28591,x28592)+~P149(x28593,x28594,x28591) % 194.45/194.29 [2860]P45(x28602,x28603)+~E(x28601,x28602)+~P45(x28601,x28603) % 194.45/194.29 [2861]P45(x28613,x28612)+~E(x28611,x28612)+~P45(x28613,x28611) % 194.45/194.29 [2862]~P125(x28621)+P125(x28622)+~E(x28621,x28622) % 194.45/194.29 [2863]~P75(x28631)+P75(x28632)+~E(x28631,x28632) % 194.45/194.29 [2864]P26(x28642,x28643,x28644)+~E(x28641,x28642)+~P26(x28641,x28643,x28644) % 194.45/194.29 [2865]P26(x28653,x28652,x28654)+~E(x28651,x28652)+~P26(x28653,x28651,x28654) % 194.45/194.29 [2866]P26(x28663,x28664,x28662)+~E(x28661,x28662)+~P26(x28663,x28664,x28661) % 194.45/194.29 [2867]~P77(x28671)+P77(x28672)+~E(x28671,x28672) % 194.45/194.29 [2868]~P116(x28681)+P116(x28682)+~E(x28681,x28682) % 194.45/194.29 [2869]~P124(x28691)+P124(x28692)+~E(x28691,x28692) % 194.45/194.29 [2870]~P66(x28701)+P66(x28702)+~E(x28701,x28702) % 194.45/194.29 [2871]P35(x28712,x28713)+~E(x28711,x28712)+~P35(x28711,x28713) % 194.45/194.29 [2872]P35(x28723,x28722)+~E(x28721,x28722)+~P35(x28723,x28721) % 194.45/194.29 [2873]P32(x28732,x28733,x28734,x28735,x28736)+~E(x28731,x28732)+~P32(x28731,x28733,x28734,x28735,x28736) % 194.45/194.29 [2874]P32(x28743,x28742,x28744,x28745,x28746)+~E(x28741,x28742)+~P32(x28743,x28741,x28744,x28745,x28746) % 194.45/194.29 [2875]P32(x28753,x28754,x28752,x28755,x28756)+~E(x28751,x28752)+~P32(x28753,x28754,x28751,x28755,x28756) % 194.45/194.29 [2876]P32(x28763,x28764,x28765,x28762,x28766)+~E(x28761,x28762)+~P32(x28763,x28764,x28765,x28761,x28766) % 194.45/194.29 [2877]P32(x28773,x28774,x28775,x28776,x28772)+~E(x28771,x28772)+~P32(x28773,x28774,x28775,x28776,x28771) % 194.45/194.29 [2878]~P137(x28781)+P137(x28782)+~E(x28781,x28782) % 194.45/194.29 [2879]P23(x28792,x28793,x28794,x28795,x28796)+~E(x28791,x28792)+~P23(x28791,x28793,x28794,x28795,x28796) % 194.45/194.29 [2880]P23(x28803,x28802,x28804,x28805,x28806)+~E(x28801,x28802)+~P23(x28803,x28801,x28804,x28805,x28806) % 194.45/194.29 [2881]P23(x28813,x28814,x28812,x28815,x28816)+~E(x28811,x28812)+~P23(x28813,x28814,x28811,x28815,x28816) % 194.45/194.29 [2882]P23(x28823,x28824,x28825,x28822,x28826)+~E(x28821,x28822)+~P23(x28823,x28824,x28825,x28821,x28826) % 194.45/194.29 [2883]P23(x28833,x28834,x28835,x28836,x28832)+~E(x28831,x28832)+~P23(x28833,x28834,x28835,x28836,x28831) % 194.45/194.29 [2884]~P142(x28841)+P142(x28842)+~E(x28841,x28842) % 194.45/194.29 [2885]P24(x28852,x28853)+~E(x28851,x28852)+~P24(x28851,x28853) % 194.45/194.29 [2886]P24(x28863,x28862)+~E(x28861,x28862)+~P24(x28863,x28861) % 194.45/194.29 [2887]~P67(x28871)+P67(x28872)+~E(x28871,x28872) % 194.45/194.29 [2888]P27(x28882,x28883)+~E(x28881,x28882)+~P27(x28881,x28883) % 194.45/194.29 [2889]P27(x28893,x28892)+~E(x28891,x28892)+~P27(x28893,x28891) % 194.45/194.29 [2890]~P76(x28901)+P76(x28902)+~E(x28901,x28902) % 194.45/194.29 [2891]P25(x28912,x28913,x28914)+~E(x28911,x28912)+~P25(x28911,x28913,x28914) % 194.45/194.29 [2892]P25(x28923,x28922,x28924)+~E(x28921,x28922)+~P25(x28923,x28921,x28924) % 194.45/194.29 [2893]P25(x28933,x28934,x28932)+~E(x28931,x28932)+~P25(x28933,x28934,x28931) % 194.45/194.29 [2894]P38(x28942,x28943,x28944)+~E(x28941,x28942)+~P38(x28941,x28943,x28944) % 194.45/194.29 [2895]P38(x28953,x28952,x28954)+~E(x28951,x28952)+~P38(x28953,x28951,x28954) % 194.45/194.29 [2896]P38(x28963,x28964,x28962)+~E(x28961,x28962)+~P38(x28963,x28964,x28961) % 194.45/194.29 [2897]~P78(x28971)+P78(x28972)+~E(x28971,x28972) % 194.45/194.29 [2898]P6(x28982,x28983,x28984)+~E(x28981,x28982)+~P6(x28981,x28983,x28984) % 194.45/194.29 [2899]P6(x28993,x28992,x28994)+~E(x28991,x28992)+~P6(x28993,x28991,x28994) % 194.45/194.29 [2900]P6(x29003,x29004,x29002)+~E(x29001,x29002)+~P6(x29003,x29004,x29001) % 194.45/194.29 [2901]~P3(x29011)+P3(x29012)+~E(x29011,x29012) % 194.45/194.29 [2902]~P79(x29021)+P79(x29022)+~E(x29021,x29022) % 194.45/194.29 [2903]P50(x29032,x29033)+~E(x29031,x29032)+~P50(x29031,x29033) % 194.45/194.29 [2904]P50(x29043,x29042)+~E(x29041,x29042)+~P50(x29043,x29041) % 194.45/194.29 [2905]~P70(x29051)+P70(x29052)+~E(x29051,x29052) % 194.45/194.29 [2906]~P128(x29061)+P128(x29062)+~E(x29061,x29062) % 194.45/194.29 [2907]~P130(x29071)+P130(x29072)+~E(x29071,x29072) % 194.45/194.29 [2908]P33(x29082,x29083,x29084)+~E(x29081,x29082)+~P33(x29081,x29083,x29084) % 194.45/194.29 [2909]P33(x29093,x29092,x29094)+~E(x29091,x29092)+~P33(x29093,x29091,x29094) % 194.45/194.29 [2910]P33(x29103,x29104,x29102)+~E(x29101,x29102)+~P33(x29103,x29104,x29101) % 194.45/194.29 [2911]~P94(x29111)+P94(x29112)+~E(x29111,x29112) % 194.45/194.29 [2912]~P146(x29121)+P146(x29122)+~E(x29121,x29122) % 194.45/194.29 [2913]~P81(x29131)+P81(x29132)+~E(x29131,x29132) % 194.45/194.29 [2914]~P117(x29141)+P117(x29142)+~E(x29141,x29142) % 194.45/194.29 [2915]P16(x29152,x29153,x29154)+~E(x29151,x29152)+~P16(x29151,x29153,x29154) % 194.45/194.29 [2916]P16(x29163,x29162,x29164)+~E(x29161,x29162)+~P16(x29163,x29161,x29164) % 194.45/194.29 [2917]P16(x29173,x29174,x29172)+~E(x29171,x29172)+~P16(x29173,x29174,x29171) % 194.45/194.29 [2918]P11(x29182,x29183,x29184)+~E(x29181,x29182)+~P11(x29181,x29183,x29184) % 194.45/194.29 [2919]P11(x29193,x29192,x29194)+~E(x29191,x29192)+~P11(x29193,x29191,x29194) % 194.45/194.29 [2920]P11(x29203,x29204,x29202)+~E(x29201,x29202)+~P11(x29203,x29204,x29201) % 194.45/194.29 [2921]P53(x29212,x29213,x29214)+~E(x29211,x29212)+~P53(x29211,x29213,x29214) % 194.45/194.29 [2922]P53(x29223,x29222,x29224)+~E(x29221,x29222)+~P53(x29223,x29221,x29224) % 194.45/194.29 [2923]P53(x29233,x29234,x29232)+~E(x29231,x29232)+~P53(x29233,x29234,x29231) % 194.45/194.29 [2924]~P122(x29241)+P122(x29242)+~E(x29241,x29242) % 194.45/194.29 [2925]P13(x29252,x29253)+~E(x29251,x29252)+~P13(x29251,x29253) % 194.45/194.29 [2926]P13(x29263,x29262)+~E(x29261,x29262)+~P13(x29263,x29261) % 194.45/194.29 [2927]~P80(x29271)+P80(x29272)+~E(x29271,x29272) % 194.45/194.29 [2928]~P118(x29281)+P118(x29282)+~E(x29281,x29282) % 194.45/194.29 [2929]P58(x29292,x29293)+~E(x29291,x29292)+~P58(x29291,x29293) % 194.45/194.29 [2930]P58(x29303,x29302)+~E(x29301,x29302)+~P58(x29303,x29301) % 194.45/194.29 [2931]P52(x29312,x29313)+~E(x29311,x29312)+~P52(x29311,x29313) % 194.45/194.29 [2932]P52(x29323,x29322)+~E(x29321,x29322)+~P52(x29323,x29321) % 194.45/194.29 [2933]P28(x29332,x29333,x29334)+~E(x29331,x29332)+~P28(x29331,x29333,x29334) % 194.45/194.29 [2934]P28(x29343,x29342,x29344)+~E(x29341,x29342)+~P28(x29343,x29341,x29344) % 194.45/194.29 [2935]P28(x29353,x29354,x29352)+~E(x29351,x29352)+~P28(x29353,x29354,x29351) % 194.45/194.29 [2936]~P147(x29361)+P147(x29362)+~E(x29361,x29362) % 194.45/194.29 [2937]~P136(x29371)+P136(x29372)+~E(x29371,x29372) % 194.45/194.29 [2938]~P87(x29381)+P87(x29382)+~E(x29381,x29382) % 194.45/194.29 [2939]~P123(x29391)+P123(x29392)+~E(x29391,x29392) % 194.45/194.29 [2940]P56(x29402,x29403,x29404)+~E(x29401,x29402)+~P56(x29401,x29403,x29404) % 194.45/194.29 [2941]P56(x29413,x29412,x29414)+~E(x29411,x29412)+~P56(x29413,x29411,x29414) % 194.45/194.29 [2942]P56(x29423,x29424,x29422)+~E(x29421,x29422)+~P56(x29423,x29424,x29421) % 194.45/194.29 [2943]~P88(x29431)+P88(x29432)+~E(x29431,x29432) % 194.45/194.29 [2944]P9(x29442,x29443,x29444,x29445,x29446,x29447)+~E(x29441,x29442)+~P9(x29441,x29443,x29444,x29445,x29446,x29447) % 194.45/194.29 [2945]P9(x29453,x29452,x29454,x29455,x29456,x29457)+~E(x29451,x29452)+~P9(x29453,x29451,x29454,x29455,x29456,x29457) % 194.45/194.29 [2946]P9(x29463,x29464,x29462,x29465,x29466,x29467)+~E(x29461,x29462)+~P9(x29463,x29464,x29461,x29465,x29466,x29467) % 194.45/194.29 [2947]P9(x29473,x29474,x29475,x29472,x29476,x29477)+~E(x29471,x29472)+~P9(x29473,x29474,x29475,x29471,x29476,x29477) % 194.45/194.29 [2948]P9(x29483,x29484,x29485,x29486,x29482,x29487)+~E(x29481,x29482)+~P9(x29483,x29484,x29485,x29486,x29481,x29487) % 194.45/194.29 [2949]P9(x29493,x29494,x29495,x29496,x29497,x29492)+~E(x29491,x29492)+~P9(x29493,x29494,x29495,x29496,x29497,x29491) % 194.45/194.29 [2950]~P119(x29501)+P119(x29502)+~E(x29501,x29502) % 194.45/194.29 [2951]~P135(x29511)+P135(x29512)+~E(x29511,x29512) % 194.45/194.29 [2952]~P144(x29521)+P144(x29522)+~E(x29521,x29522) % 194.45/194.29 [2953]P31(x29532,x29533,x29534)+~E(x29531,x29532)+~P31(x29531,x29533,x29534) % 194.45/194.29 [2954]P31(x29543,x29542,x29544)+~E(x29541,x29542)+~P31(x29543,x29541,x29544) % 194.45/194.29 [2955]P31(x29553,x29554,x29552)+~E(x29551,x29552)+~P31(x29553,x29554,x29551) % 194.45/194.29 [2956]P42(x29562,x29563,x29564,x29565,x29566,x29567)+~E(x29561,x29562)+~P42(x29561,x29563,x29564,x29565,x29566,x29567) % 194.45/194.29 [2957]P42(x29573,x29572,x29574,x29575,x29576,x29577)+~E(x29571,x29572)+~P42(x29573,x29571,x29574,x29575,x29576,x29577) % 194.45/194.29 [2958]P42(x29583,x29584,x29582,x29585,x29586,x29587)+~E(x29581,x29582)+~P42(x29583,x29584,x29581,x29585,x29586,x29587) % 194.45/194.29 [2959]P42(x29593,x29594,x29595,x29592,x29596,x29597)+~E(x29591,x29592)+~P42(x29593,x29594,x29595,x29591,x29596,x29597) % 194.45/194.29 [2960]P42(x29603,x29604,x29605,x29606,x29602,x29607)+~E(x29601,x29602)+~P42(x29603,x29604,x29605,x29606,x29601,x29607) % 194.45/194.29 [2961]P42(x29613,x29614,x29615,x29616,x29617,x29612)+~E(x29611,x29612)+~P42(x29613,x29614,x29615,x29616,x29617,x29611) % 194.45/194.29 [2962]P14(x29622,x29623,x29624)+~E(x29621,x29622)+~P14(x29621,x29623,x29624) % 194.45/194.29 [2963]P14(x29633,x29632,x29634)+~E(x29631,x29632)+~P14(x29633,x29631,x29634) % 194.45/194.29 [2964]P14(x29643,x29644,x29642)+~E(x29641,x29642)+~P14(x29643,x29644,x29641) % 194.45/194.29 [2965]~P139(x29651)+P139(x29652)+~E(x29651,x29652) % 194.45/194.29 [2966]~P143(x29661)+P143(x29662)+~E(x29661,x29662) % 194.45/194.29 [2967]~P132(x29671)+P132(x29672)+~E(x29671,x29672) % 194.45/194.29 [2968]P55(x29682,x29683,x29684)+~E(x29681,x29682)+~P55(x29681,x29683,x29684) % 194.45/194.29 [2969]P55(x29693,x29692,x29694)+~E(x29691,x29692)+~P55(x29693,x29691,x29694) % 194.45/194.29 [2970]P55(x29703,x29704,x29702)+~E(x29701,x29702)+~P55(x29703,x29704,x29701) % 194.45/194.29 [2971]~P109(x29711)+P109(x29712)+~E(x29711,x29712) % 194.45/194.29 [2972]~P34(x29721)+P34(x29722)+~E(x29721,x29722) % 194.45/194.29 [2973]~P99(x29731)+P99(x29732)+~E(x29731,x29732) % 194.45/194.29 [2974]P15(x29742,x29743,x29744)+~E(x29741,x29742)+~P15(x29741,x29743,x29744) % 194.45/194.29 [2975]P15(x29753,x29752,x29754)+~E(x29751,x29752)+~P15(x29753,x29751,x29754) % 194.45/194.29 [2976]P15(x29763,x29764,x29762)+~E(x29761,x29762)+~P15(x29763,x29764,x29761) % 194.45/194.29 [2977]~P68(x29771)+P68(x29772)+~E(x29771,x29772) % 194.45/194.29 [2978]~P89(x29781)+P89(x29782)+~E(x29781,x29782) % 194.45/194.29 [2979]P49(x29792,x29793,x29794)+~E(x29791,x29792)+~P49(x29791,x29793,x29794) % 194.45/194.29 [2980]P49(x29803,x29802,x29804)+~E(x29801,x29802)+~P49(x29803,x29801,x29804) % 194.45/194.29 [2981]P49(x29813,x29814,x29812)+~E(x29811,x29812)+~P49(x29813,x29814,x29811) % 194.45/194.29 [2982]~P140(x29821)+P140(x29822)+~E(x29821,x29822) % 194.45/194.29 [2983]~P82(x29831)+P82(x29832)+~E(x29831,x29832) % 194.45/194.29 [2984]P51(x29842,x29843)+~E(x29841,x29842)+~P51(x29841,x29843) % 194.45/194.29 [2985]P51(x29853,x29852)+~E(x29851,x29852)+~P51(x29853,x29851) % 194.45/194.29 [2986]P37(x29862,x29863)+~E(x29861,x29862)+~P37(x29861,x29863) % 194.45/194.29 [2987]P37(x29873,x29872)+~E(x29871,x29872)+~P37(x29873,x29871) % 194.45/194.29 [2988]~P69(x29881)+P69(x29882)+~E(x29881,x29882) % 194.45/194.29 [2989]~P145(x29891)+P145(x29892)+~E(x29891,x29892) % 194.45/194.29 [2990]~P148(x29901)+P148(x29902)+~E(x29901,x29902) % 194.45/194.29 [2991]P19(x29912,x29913,x29914,x29915,x29916)+~E(x29911,x29912)+~P19(x29911,x29913,x29914,x29915,x29916) % 194.45/194.29 [2992]P19(x29923,x29922,x29924,x29925,x29926)+~E(x29921,x29922)+~P19(x29923,x29921,x29924,x29925,x29926) % 194.45/194.29 [2993]P19(x29933,x29934,x29932,x29935,x29936)+~E(x29931,x29932)+~P19(x29933,x29934,x29931,x29935,x29936) % 194.45/194.29 [2994]P19(x29943,x29944,x29945,x29942,x29946)+~E(x29941,x29942)+~P19(x29943,x29944,x29945,x29941,x29946) % 194.45/194.29 [2995]P19(x29953,x29954,x29955,x29956,x29952)+~E(x29951,x29952)+~P19(x29953,x29954,x29955,x29956,x29951) % 194.45/194.29 [2996]P17(x29962,x29963,x29964,x29965)+~E(x29961,x29962)+~P17(x29961,x29963,x29964,x29965) % 194.45/194.29 [2997]P17(x29973,x29972,x29974,x29975)+~E(x29971,x29972)+~P17(x29973,x29971,x29974,x29975) % 194.45/194.29 [2998]P17(x29983,x29984,x29982,x29985)+~E(x29981,x29982)+~P17(x29983,x29984,x29981,x29985) % 194.45/194.29 [2999]P17(x29993,x29994,x29995,x29992)+~E(x29991,x29992)+~P17(x29993,x29994,x29995,x29991) % 194.45/194.29 [3000]~P104(x30001)+P104(x30002)+~E(x30001,x30002) % 194.45/194.29 [3001]~P103(x30011)+P103(x30012)+~E(x30011,x30012) % 194.45/194.29 [3002]P43(x30022,x30023)+~E(x30021,x30022)+~P43(x30021,x30023) % 194.45/194.29 [3003]P43(x30033,x30032)+~E(x30031,x30032)+~P43(x30033,x30031) % 194.45/194.29 [3004]~P120(x30041)+P120(x30042)+~E(x30041,x30042) % 194.45/194.29 [3005]P30(x30052,x30053,x30054,x30055)+~E(x30051,x30052)+~P30(x30051,x30053,x30054,x30055) % 194.45/194.29 [3006]P30(x30063,x30062,x30064,x30065)+~E(x30061,x30062)+~P30(x30063,x30061,x30064,x30065) % 194.45/194.29 [3007]P30(x30073,x30074,x30072,x30075)+~E(x30071,x30072)+~P30(x30073,x30074,x30071,x30075) % 194.45/194.29 [3008]P30(x30083,x30084,x30085,x30082)+~E(x30081,x30082)+~P30(x30083,x30084,x30085,x30081) % 194.45/194.29 [3009]~P108(x30091)+P108(x30092)+~E(x30091,x30092) % 194.45/194.29 [3010]P60(x30102,x30103)+~E(x30101,x30102)+~P60(x30101,x30103) % 194.45/194.29 [3011]P60(x30113,x30112)+~E(x30111,x30112)+~P60(x30113,x30111) % 194.45/194.29 [3012]P12(x30122,x30123,x30124)+~E(x30121,x30122)+~P12(x30121,x30123,x30124) % 194.45/194.29 [3013]P12(x30133,x30132,x30134)+~E(x30131,x30132)+~P12(x30133,x30131,x30134) % 194.45/194.29 [3014]P12(x30143,x30144,x30142)+~E(x30141,x30142)+~P12(x30143,x30144,x30141) % 194.45/194.29 [3015]P21(x30152,x30153,x30154,x30155,x30156,x30157)+~E(x30151,x30152)+~P21(x30151,x30153,x30154,x30155,x30156,x30157) % 194.45/194.29 [3016]P21(x30163,x30162,x30164,x30165,x30166,x30167)+~E(x30161,x30162)+~P21(x30163,x30161,x30164,x30165,x30166,x30167) % 194.45/194.29 [3017]P21(x30173,x30174,x30172,x30175,x30176,x30177)+~E(x30171,x30172)+~P21(x30173,x30174,x30171,x30175,x30176,x30177) % 194.45/194.29 [3018]P21(x30183,x30184,x30185,x30182,x30186,x30187)+~E(x30181,x30182)+~P21(x30183,x30184,x30185,x30181,x30186,x30187) % 194.45/194.29 [3019]P21(x30193,x30194,x30195,x30196,x30192,x30197)+~E(x30191,x30192)+~P21(x30193,x30194,x30195,x30196,x30191,x30197) % 194.45/194.29 [3020]P21(x30203,x30204,x30205,x30206,x30207,x30202)+~E(x30201,x30202)+~P21(x30203,x30204,x30205,x30206,x30207,x30201) % 194.45/194.29 [3021]~P83(x30211)+P83(x30212)+~E(x30211,x30212) % 194.45/194.29 [3022]~P141(x30221)+P141(x30222)+~E(x30221,x30222) % 194.45/194.29 [3023]P4(x30232,x30233)+~E(x30231,x30232)+~P4(x30231,x30233) % 194.45/194.29 [3024]P4(x30243,x30242)+~E(x30241,x30242)+~P4(x30243,x30241) % 194.45/194.29 [3025]P8(x30252,x30253,x30254,x30255)+~E(x30251,x30252)+~P8(x30251,x30253,x30254,x30255) % 194.45/194.29 [3026]P8(x30263,x30262,x30264,x30265)+~E(x30261,x30262)+~P8(x30263,x30261,x30264,x30265) % 194.45/194.29 [3027]P8(x30273,x30274,x30272,x30275)+~E(x30271,x30272)+~P8(x30273,x30274,x30271,x30275) % 194.45/194.29 [3028]P8(x30283,x30284,x30285,x30282)+~E(x30281,x30282)+~P8(x30283,x30284,x30285,x30281) % 194.45/194.29 [3029]~P131(x30291)+P131(x30292)+~E(x30291,x30292) % 194.45/194.29 [3030]~P126(x30301)+P126(x30302)+~E(x30301,x30302) % 194.45/194.29 [3031]~P110(x30311)+P110(x30312)+~E(x30311,x30312) % 194.45/194.29 [3032]~P134(x30321)+P134(x30322)+~E(x30321,x30322) % 194.45/194.29 [3033]P7(x30332,x30333,x30334,x30335,x30336)+~E(x30331,x30332)+~P7(x30331,x30333,x30334,x30335,x30336) % 194.45/194.29 [3034]P7(x30343,x30342,x30344,x30345,x30346)+~E(x30341,x30342)+~P7(x30343,x30341,x30344,x30345,x30346) % 194.45/194.29 [3035]P7(x30353,x30354,x30352,x30355,x30356)+~E(x30351,x30352)+~P7(x30353,x30354,x30351,x30355,x30356) % 194.45/194.29 [3036]P7(x30363,x30364,x30365,x30362,x30366)+~E(x30361,x30362)+~P7(x30363,x30364,x30365,x30361,x30366) % 194.45/194.29 [3037]P7(x30373,x30374,x30375,x30376,x30372)+~E(x30371,x30372)+~P7(x30373,x30374,x30375,x30376,x30371) % 194.45/194.29 [3038]P48(x30382,x30383)+~E(x30381,x30382)+~P48(x30381,x30383) % 194.45/194.29 [3039]P48(x30393,x30392)+~E(x30391,x30392)+~P48(x30393,x30391) % 194.45/194.29 [3040]P20(x30402,x30403,x30404,x30405,x30406,x30407)+~E(x30401,x30402)+~P20(x30401,x30403,x30404,x30405,x30406,x30407) % 194.45/194.29 [3041]P20(x30413,x30412,x30414,x30415,x30416,x30417)+~E(x30411,x30412)+~P20(x30413,x30411,x30414,x30415,x30416,x30417) % 194.45/194.29 [3042]P20(x30423,x30424,x30422,x30425,x30426,x30427)+~E(x30421,x30422)+~P20(x30423,x30424,x30421,x30425,x30426,x30427) % 194.45/194.29 [3043]P20(x30433,x30434,x30435,x30432,x30436,x30437)+~E(x30431,x30432)+~P20(x30433,x30434,x30435,x30431,x30436,x30437) % 194.45/194.29 [3044]P20(x30443,x30444,x30445,x30446,x30442,x30447)+~E(x30441,x30442)+~P20(x30443,x30444,x30445,x30446,x30441,x30447) % 194.45/194.29 [3045]P20(x30453,x30454,x30455,x30456,x30457,x30452)+~E(x30451,x30452)+~P20(x30453,x30454,x30455,x30456,x30457,x30451) % 194.45/194.29 [3046]~P133(x30461)+P133(x30462)+~E(x30461,x30462) % 194.45/194.29 [3047]~P98(x30471)+P98(x30472)+~E(x30471,x30472) % 194.45/194.29 [3048]P18(x30482,x30483,x30484,x30485)+~E(x30481,x30482)+~P18(x30481,x30483,x30484,x30485) % 194.45/194.29 [3049]P18(x30493,x30492,x30494,x30495)+~E(x30491,x30492)+~P18(x30493,x30491,x30494,x30495) % 194.45/194.29 [3050]P18(x30503,x30504,x30502,x30505)+~E(x30501,x30502)+~P18(x30503,x30504,x30501,x30505) % 194.45/194.29 [3051]P18(x30513,x30514,x30515,x30512)+~E(x30511,x30512)+~P18(x30513,x30514,x30515,x30511) % 194.45/194.29 [3052]~P97(x30521)+P97(x30522)+~E(x30521,x30522) % 194.45/194.29 [3053]~P44(x30531)+P44(x30532)+~E(x30531,x30532) % 194.45/194.29 [3054]P41(x30542,x30543,x30544,x30545)+~E(x30541,x30542)+~P41(x30541,x30543,x30544,x30545) % 194.45/194.29 [3055]P41(x30553,x30552,x30554,x30555)+~E(x30551,x30552)+~P41(x30553,x30551,x30554,x30555) % 194.45/194.29 [3056]P41(x30563,x30564,x30562,x30565)+~E(x30561,x30562)+~P41(x30563,x30564,x30561,x30565) % 194.45/194.29 [3057]P41(x30573,x30574,x30575,x30572)+~E(x30571,x30572)+~P41(x30573,x30574,x30575,x30571) % 194.45/194.29 [3058]P47(x30582,x30583,x30584)+~E(x30581,x30582)+~P47(x30581,x30583,x30584) % 194.45/194.29 [3059]P47(x30593,x30592,x30594)+~E(x30591,x30592)+~P47(x30593,x30591,x30594) % 194.45/194.29 [3060]P47(x30603,x30604,x30602)+~E(x30601,x30602)+~P47(x30603,x30604,x30601) % 194.45/194.29 [3061]P54(x30612,x30613)+~E(x30611,x30612)+~P54(x30611,x30613) % 194.45/194.29 [3062]P54(x30623,x30622)+~E(x30621,x30622)+~P54(x30623,x30621) % 194.45/194.29 [3063]P46(x30632,x30633,x30634)+~E(x30631,x30632)+~P46(x30631,x30633,x30634) % 194.45/194.29 [3064]P46(x30643,x30642,x30644)+~E(x30641,x30642)+~P46(x30643,x30641,x30644) % 194.45/194.29 [3065]P46(x30653,x30654,x30652)+~E(x30651,x30652)+~P46(x30653,x30654,x30651) % 194.45/194.29 [3066]~P127(x30661)+P127(x30662)+~E(x30661,x30662) % 194.45/194.29 % 194.45/194.29 %------------------------------------------- % 194.56/194.35 cnf(10424,plain, % 194.56/194.35 (~E(f324(a114,x104241),x104241)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10433,plain, % 194.56/194.35 (~E(f324(f168(x104331),f324(a114,f324(f168(x104331),x104332))),x104332)), % 194.56/194.35 inference(scs_inference,[],[4615,10424,3257,3294,3306,4674,4707,4733,4788,4792,4820,4835])). % 194.56/194.35 cnf(10434,plain, % 194.56/194.35 (~E(f324(a114,x104341),x104341)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10447,plain, % 194.56/194.35 (~E(f324(a114,x104471),x104471)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10452,plain, % 194.56/194.35 (~P1(f324(f324(f172(x104521),f115(x104521)),x104522))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10455,plain, % 194.56/194.35 (~P1(f324(f324(f172(x104551),f115(x104551)),x104552))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10458,plain, % 194.56/194.35 (~E(f324(a114,x104581),x104581)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10461,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x104611),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(10464,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x104641),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(10481,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x104811)),x104811))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(10484,plain, % 194.56/194.35 (~E(f324(f324(f151(x104841),x104842),x104843),x104843)), % 194.56/194.35 inference(rename_variables,[],[4635])). % 194.56/194.35 cnf(10490,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x104901),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(10493,plain, % 194.56/194.35 (E(f324(f282(x104931,x104931),f263(x104931,x104932)),x104932)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(10496,plain, % 194.56/194.35 (E(f324(f282(x104961,x104961),f263(x104961,x104962)),x104962)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(10501,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x105011),x105011))), % 194.56/194.35 inference(rename_variables,[],[4667])). % 194.56/194.35 cnf(10506,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x105061),x105062)),x105062))), % 194.56/194.35 inference(rename_variables,[],[4691])). % 194.56/194.35 cnf(10509,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x105091),x105092)),x105092))), % 194.56/194.35 inference(rename_variables,[],[4691])). % 194.56/194.35 cnf(10516,plain, % 194.56/194.35 (~E(x105161,f324(a114,x105161))), % 194.56/194.35 inference(scs_inference,[],[4615,10424,10434,10447,3257,3424,10493,3298,3361,3294,3321,3306,4635,3531,3447,4671,10461,10464,4668,4629,4676,10452,4667,4677,4280,4674,3440,4660,4693,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312])). % 194.56/194.35 cnf(10520,plain, % 194.56/194.35 (~P1(f324(f145(x105201,x105202),f324(f324(f252(f921(x105201),f921(x105201)),x105203),f115(x105201))))), % 194.56/194.35 inference(scs_inference,[],[4615,10424,10434,10447,3257,3424,10493,3298,3361,3294,3321,3306,4635,4696,3531,3447,4671,10461,10464,4046,4668,4629,4676,10452,4667,4677,4280,4674,3440,4660,4693,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321])). % 194.56/194.35 cnf(10530,plain, % 194.56/194.35 (~E(f324(a114,x105301),x105301)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10533,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x105331),x105331))), % 194.56/194.35 inference(rename_variables,[],[4667])). % 194.56/194.35 cnf(10536,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f45(a920,x105361,x105362)),x105361))), % 194.56/194.35 inference(rename_variables,[],[3918])). % 194.56/194.35 cnf(10557,plain, % 194.56/194.35 (E(f324(f35(a920),f324(f280(a920),x105571)),x105571)), % 194.56/194.35 inference(rename_variables,[],[3359])). % 194.56/194.35 cnf(10565,plain, % 194.56/194.35 (~E(f324(a114,x105651),x105651)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10568,plain, % 194.56/194.35 (~E(f324(a114,x105681),x105681)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10571,plain, % 194.56/194.35 (~E(f324(a114,x105711),x105711)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10573,plain, % 194.56/194.35 (P1(f324(a194,a99))), % 194.56/194.35 inference(scs_inference,[],[4615,10424,10434,10447,10458,10530,10565,10568,3257,3424,10493,3298,3361,3294,3321,3306,3394,4635,3359,4696,3379,3531,3447,4671,10461,10464,4046,3465,4668,4629,4676,10452,4667,10501,10533,3556,3981,3918,4677,10481,4280,4674,4659,3440,4660,4693,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457])). % 194.56/194.35 cnf(10576,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x105761),f324(a114,x105761)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(10578,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x105781),f324(a114,x105781)))), % 194.56/194.35 inference(scs_inference,[],[4615,10424,10434,10447,10458,10530,10565,10568,3257,3424,10493,3298,3361,3294,3321,3306,3394,4635,3359,4696,3379,3531,3447,4671,10461,10464,4046,3465,4668,4629,4676,10452,4667,10501,10533,3556,3981,3918,4677,10481,4280,4674,4659,3440,4660,4693,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469])). % 194.56/194.35 cnf(10585,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x105851),x105851))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(10592,plain, % 194.56/194.35 (E(f324(f282(x105921,x105921),f263(x105921,x105922)),x105922)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(10595,plain, % 194.56/194.35 (E(f324(f282(x105951,x105951),f263(x105951,x105952)),x105952)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(10612,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x106121),x106121))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(10618,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),f2(a1)),f380(f324(f172(x106181),f115(x106181)))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3394,4635,3359,4696,3379,3531,10576,3447,4671,10461,10464,3900,4046,3491,3465,4668,4629,4676,10452,10455,4189,3463,3464,4667,10501,10533,3556,3981,3918,10536,4677,10481,4280,4674,4659,3440,4660,4693,3941,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558])). % 194.56/194.35 cnf(10619,plain, % 194.56/194.35 (~P1(f324(f324(f172(x106191),f115(x106191)),x106192))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10625,plain, % 194.56/194.35 (E(f324(f324(f79(a920),x106251),f861(x106251,x106251)),x106251)), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3394,4635,3359,4696,3379,3531,10576,3447,4671,10461,10464,3900,4046,3491,3465,4668,4629,4676,10452,10455,4189,3463,10585,3464,4667,10501,10533,3556,3981,3918,10536,4677,10481,4280,4674,4659,3440,4660,4693,3941,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599])). % 194.56/194.35 cnf(10648,plain, % 194.56/194.35 (~E(f324(f324(f151(x106481),x106482),x106483),x106483)), % 194.56/194.35 inference(rename_variables,[],[4635])). % 194.56/194.35 cnf(10651,plain, % 194.56/194.35 (~E(f324(a114,x106511),f2(a920))), % 194.56/194.35 inference(rename_variables,[],[4625])). % 194.56/194.35 cnf(10662,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x106621),x106621))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(10667,plain, % 194.56/194.35 (~E(f324(a114,x106671),x106671)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10670,plain, % 194.56/194.35 (~P1(f324(f324(f189(f928(x106701,f928(x106702,a916))),x106703),x106704))), % 194.56/194.35 inference(rename_variables,[],[4694])). % 194.56/194.35 cnf(10677,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x106771),x106771))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(10681,plain, % 194.56/194.35 (~E(f324(f168(x106811),f324(f324(f151(x106811),x106812),x106813)),f115(x106811))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,4625,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3394,4635,10484,3359,4696,3379,3825,3531,10576,3447,4671,10461,10464,10490,3900,4046,3489,3491,3465,4668,4629,4676,10452,10455,4189,3463,10585,3464,10612,4667,10501,10533,3556,3981,3918,10536,4677,10481,4280,4674,4659,3440,3444,4660,4693,4694,3941,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800])). % 194.56/194.35 cnf(10690,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x106901),f324(a114,x106901)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(10711,plain, % 194.56/194.35 (~P1(f324(f324(f172(x107111),f115(x107111)),x107112))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10721,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x107211),f324(a114,f324(a114,x107211))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,4625,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,4696,3379,3825,3531,10576,10690,3447,4671,10461,10464,10490,3900,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,4189,3463,10585,10677,3464,10612,4667,10501,10533,3556,3981,3918,10536,4677,10481,4280,4674,4659,3440,3444,4661,4660,4693,4694,3941,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897])). % 194.56/194.35 cnf(10730,plain, % 194.56/194.35 (~P1(f324(f324(f172(x107301),f115(x107301)),x107302))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10737,plain, % 194.56/194.35 (~P1(f324(f324(f172(x107371),f115(x107371)),x107372))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10750,plain, % 194.56/194.35 (~E(f324(a114,x107501),f2(a920))), % 194.56/194.35 inference(rename_variables,[],[4625])). % 194.56/194.35 cnf(10755,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x107551),x107551))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(10758,plain, % 194.56/194.35 (P1(f324(f324(f326(x107581),x107582),f242(f928(x107581,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(10762,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),f2(a920)),f324(a106,f77(a1))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,4625,10651,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,4696,3379,3825,3531,10576,10690,3447,4671,10461,10464,10490,4684,3900,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,4189,3463,10585,10677,3464,10612,4667,10501,10533,3616,3556,3981,3918,10536,4677,10481,4280,4674,4659,3440,3444,4661,4660,4693,4694,3941,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037])). % 194.56/194.35 cnf(10765,plain, % 194.56/194.35 (~P1(f324(f324(f172(x107651),f115(x107651)),x107652))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10770,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x107701),f324(a114,x107701)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(10773,plain, % 194.56/194.35 (~P1(f324(f324(f172(x107731),f115(x107731)),x107732))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10776,plain, % 194.56/194.35 (~P1(f324(f324(f172(x107761),f115(x107761)),x107762))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10779,plain, % 194.56/194.35 (~P1(f324(f62(x107791,x107792,f189(f928(x107791,a916))),x107793))), % 194.56/194.35 inference(rename_variables,[],[4690])). % 194.56/194.35 cnf(10782,plain, % 194.56/194.35 (~P1(f324(f62(x107821,x107822,f189(f928(x107821,a916))),x107823))), % 194.56/194.35 inference(rename_variables,[],[4690])). % 194.56/194.35 cnf(10785,plain, % 194.56/194.35 (~P1(f324(f324(f189(f928(x107851,f928(x107852,a916))),x107853),x107854))), % 194.56/194.35 inference(rename_variables,[],[4694])). % 194.56/194.35 cnf(10790,plain, % 194.56/194.35 (~P1(f324(f324(f172(x107901),f115(x107901)),x107902))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10800,plain, % 194.56/194.35 (~E(f324(f168(x108001),f324(a114,f324(f324(f134(x108001),f324(f168(x108001),x108002)),f324(f324(f151(x108001),x108003),f115(x108001))))),f324(f324(f151(x108001),x108003),x108002))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,4696,3379,3825,3531,10576,10690,10770,3447,4671,10461,10464,10490,4684,3900,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,4189,3463,10585,10677,10755,3464,10612,4667,10501,10533,3616,3556,3981,3918,10536,4677,10481,4280,4674,4659,3440,3444,4661,4660,4690,10779,4693,4694,10670,3941,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153])). % 194.56/194.35 cnf(10801,plain, % 194.56/194.35 (~E(f324(a114,x108011),x108011)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(10819,plain, % 194.56/194.35 (P1(f324(f324(f235(a101),f324(a5,x108191)),f324(a5,f324(a114,x108191))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,4696,3379,3825,3531,10576,10690,10770,3913,3447,4671,10461,10464,10490,4684,3900,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,4189,3463,10585,10677,10755,3464,10612,4667,10501,10533,3616,3556,3981,3918,10536,4677,10481,4280,4674,4659,3440,3444,4661,4660,4690,10779,4693,4694,10670,3941,4691,10506,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236])). % 194.56/194.35 cnf(10826,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x108261),x108261))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(10829,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x108291),f324(f324(f80(a920),x108291),x108291)))), % 194.56/194.35 inference(rename_variables,[],[3724])). % 194.56/194.35 cnf(10832,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x108321),f324(f324(f80(a920),x108321),x108321)))), % 194.56/194.35 inference(rename_variables,[],[3724])). % 194.56/194.35 cnf(10835,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x108351),f324(a114,f324(f324(f79(a920),x108352),x108351))))), % 194.56/194.35 inference(rename_variables,[],[3911])). % 194.56/194.35 cnf(10840,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x108401),f324(a114,x108401)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(10843,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x108431),f324(a114,x108431)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(10846,plain, % 194.56/194.35 (P1(f324(f324(f326(x108461),x108462),f242(f928(x108461,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(10865,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x108651)),x108651))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(10868,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x108681)),x108681))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(10871,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x108711),x108712)),x108712))), % 194.56/194.35 inference(rename_variables,[],[4691])). % 194.56/194.35 cnf(10874,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x108741),x108742)),x108742))), % 194.56/194.35 inference(rename_variables,[],[4691])). % 194.56/194.35 cnf(10877,plain, % 194.56/194.35 (P1(f324(f242(f928(x108771,a916)),x108772))), % 194.56/194.35 inference(rename_variables,[],[3524])). % 194.56/194.35 cnf(10880,plain, % 194.56/194.35 (E(f324(f35(a920),f324(f280(a920),x108801)),x108801)), % 194.56/194.35 inference(rename_variables,[],[3359])). % 194.56/194.35 cnf(10883,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x108831),f324(a114,x108831)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(10890,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x108901),x108901))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(10894,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f324(f105(a920),a82)),f324(f105(a920),x108941)))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,3913,3447,4671,10461,10464,10490,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,4189,3463,10585,10677,10755,10826,3464,10612,10662,4667,10501,10533,3616,10758,3524,3556,3981,3918,10536,4677,10481,10865,4280,4674,4659,3440,3444,4661,4660,4690,10779,4695,3724,10829,4693,4694,10670,3941,4691,10506,10509,10871,3911,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423])). % 194.56/194.35 cnf(10895,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x108951),x108951))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(10904,plain, % 194.56/194.35 (E(f324(f282(x109041,x109041),f263(x109041,x109042)),x109042)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(10907,plain, % 194.56/194.35 (P1(f324(f242(f928(x109071,a916)),x109072))), % 194.56/194.35 inference(rename_variables,[],[3524])). % 194.56/194.35 cnf(10910,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f2(a920)),x109101))), % 194.56/194.35 inference(rename_variables,[],[3483])). % 194.56/194.35 cnf(10913,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x109131,a916)),f189(f928(x109131,a916))),x109132))), % 194.56/194.35 inference(rename_variables,[],[3910])). % 194.56/194.35 cnf(10916,plain, % 194.56/194.35 (P1(f324(f242(f928(x109161,a916)),x109162))), % 194.56/194.35 inference(rename_variables,[],[3524])). % 194.56/194.35 cnf(10919,plain, % 194.56/194.35 (P1(f324(f242(f928(x109191,a916)),x109192))), % 194.56/194.35 inference(rename_variables,[],[3524])). % 194.56/194.35 cnf(10921,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(f324(f80(a920),f324(a114,x109211)),f324(a114,x109211))),x109211))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,10595,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,3913,3447,4671,10461,10464,10490,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,4189,3463,10585,10677,10755,10826,3464,10612,10662,4667,10501,10533,3616,10758,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,3483,4280,4674,4659,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,4693,4694,10670,3941,4691,10506,10509,10871,3911,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473])). % 194.56/194.35 cnf(10922,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x109221),f324(f324(f80(a920),x109221),x109221)))), % 194.56/194.35 inference(rename_variables,[],[3724])). % 194.56/194.35 cnf(10926,plain, % 194.56/194.35 (E(f324(f168(x109261),f173(x109262,f324(f324(f134(x109261),f324(f168(x109261),x109263)),f324(f324(f151(x109261),x109264),f115(x109261))),f115(x109262))),f324(f324(f151(x109261),x109264),x109263))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,3913,3447,4671,10461,10464,10490,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,4189,3463,10585,10677,10755,10826,3464,10612,10662,4667,10501,10533,3616,10758,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,3483,4280,4674,4659,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,4693,4694,10670,3941,4691,10506,10509,10871,3911,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512])). % 194.56/194.35 cnf(10962,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x109621),x109621))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(10973,plain, % 194.56/194.35 (~P1(f324(f324(f172(x109731),f115(x109731)),x109732))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(10980,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x109801),f324(a114,x109801)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(10982,plain, % 194.56/194.35 (P1(f324(f324(f235(a1),f324(f324(f3(a1),x109821),f77(a1))),x109821))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,3913,3447,4671,10461,10464,10490,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4189,3463,10585,10677,10755,10826,10890,10962,3464,10612,10662,10895,4667,10501,10533,3616,10758,4680,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,4693,4694,10670,3941,4691,10506,10509,10871,3911,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782])). % 194.56/194.35 cnf(10983,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x109831),x109831))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(10988,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x109881),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(11001,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x110011),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(11004,plain, % 194.56/194.35 (~P1(f324(f324(f235(f928(x110041,a916)),x110042),f189(f928(x110041,a916))))), % 194.56/194.35 inference(rename_variables,[],[4688])). % 194.56/194.35 cnf(11007,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x110071),x110071))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11010,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x110101),x110101))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11024,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x110241),f324(f324(f3(a920),x110241),x110242)))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,3913,3447,4671,10461,10464,10490,10988,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,3464,10612,10662,10895,4667,10501,10533,3616,10758,4680,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,4693,4694,10670,3941,4691,10506,10509,10871,3911,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943])). % 194.56/194.35 cnf(11025,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x110251),x110251))), % 194.56/194.35 inference(rename_variables,[],[4667])). % 194.56/194.35 cnf(11034,plain, % 194.56/194.35 (~P1(f324(f324(f326(x110341),x110342),f189(f928(x110341,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11041,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x110411),x110411))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11044,plain, % 194.56/194.35 (~P1(f324(f324(f326(x110441),x110442),f189(f928(x110441,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11047,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x110471,a916)),f324(f307(x110472,x110471,x110473),f324(f308(x110472,x110471,x110473),x110474))),x110474))), % 194.56/194.35 inference(rename_variables,[],[4335])). % 194.56/194.35 cnf(11054,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x110541,a916)),f324(f172(x110541),f324(f136(x110541,x110542),x110543))),f324(f172(x110541),x110543)))), % 194.56/194.35 inference(rename_variables,[],[4106])). % 194.56/194.35 cnf(11057,plain, % 194.56/194.35 (E(f324(f307(x110571,x110571,f7(x110571)),x110572),x110572)), % 194.56/194.35 inference(rename_variables,[],[3520])). % 194.56/194.35 cnf(11060,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f2(a920)),x110601))), % 194.56/194.35 inference(rename_variables,[],[3483])). % 194.56/194.35 cnf(11063,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x110631),x110631))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11066,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x110661),x110661))), % 194.56/194.35 inference(rename_variables,[],[4667])). % 194.56/194.35 cnf(11072,plain, % 194.56/194.35 (E(f324(f324(f134(a920),f139(a920,f324(f299(a920,x110721),x110721))),f324(f324(f151(a920),x110721),f115(a920))),f139(a920,f324(f299(a920,x110721),f324(a114,x110721))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,3464,10612,10662,10895,4667,10501,10533,11025,3616,10758,4680,11034,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340])). % 194.56/194.35 cnf(11075,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x110751),x110751))), % 194.56/194.35 inference(rename_variables,[],[4667])). % 194.56/194.35 cnf(11086,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x110861),f324(f324(f80(a920),x110861),x110861)))), % 194.56/194.35 inference(rename_variables,[],[3724])). % 194.56/194.35 cnf(11092,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x110921),f324(a114,f324(f324(f79(a920),x110922),x110921))))), % 194.56/194.35 inference(rename_variables,[],[3911])). % 194.56/194.35 cnf(11098,plain, % 194.56/194.35 (~E(x110981,f324(f324(f151(x110982),x110983),x110981))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,3464,10612,10662,10895,4667,10501,10533,11025,11066,3616,10758,4680,11034,11044,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526])). % 194.56/194.35 cnf(11099,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x110991),x110991))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11101,plain, % 194.56/194.35 (P1(f324(f324(f235(a1),x111011),f324(f324(f79(a1),x111011),f77(a1))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,4680,11034,11044,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576])). % 194.56/194.35 cnf(11102,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x111021),x111021))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(11104,plain, % 194.56/194.35 (~E(f324(f72(x111041,x111042,x111043,a114),x111044),x111044)), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,4680,11034,11044,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586])). % 194.56/194.35 cnf(11105,plain, % 194.56/194.35 (~E(f324(a114,x111051),x111051)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11109,plain, % 194.56/194.35 (P1(f324(f324(f326(f927(x111091,x111091)),x111092),f304(x111091,f242(f928(f927(x111091,x111091),a916)))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,4680,11034,11044,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607])). % 194.56/194.35 cnf(11110,plain, % 194.56/194.35 (P1(f324(f324(f326(x111101),x111102),f242(f928(x111101,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(11114,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x111141),f324(f324(f3(a920),f2(a920)),x111142)))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,11054,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,4680,11034,11044,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,4280,4674,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657])). % 194.56/194.35 cnf(11115,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x111151),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(11130,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f2(a920)),x111301))), % 194.56/194.35 inference(rename_variables,[],[3483])). % 194.56/194.35 cnf(11137,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x111371),x111371))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11146,plain, % 194.56/194.35 (~P1(f324(f324(f326(x111461),x111462),f189(f928(x111461,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11148,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x111481,a916)),f38(f928(x111481,a916),f324(f305(x111481),x111482))),x111482))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,11054,3826,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,4680,11034,11044,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930])). % 194.56/194.35 cnf(11153,plain, % 194.56/194.35 (P1(f324(f324(f326(f921(x111531)),x111532),f161(x111531,f242(f928(x111531,a916)))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,11054,3826,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,4680,11034,11044,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941])). % 194.56/194.35 cnf(11154,plain, % 194.56/194.35 (P1(f324(f324(f326(x111541),x111542),f242(f928(x111541,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(11157,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x111571),f921(x111571))),f324(f324(f252(f921(x111571),f921(x111571)),x111572),f115(x111571))),f145(x111571,x111573)))), % 194.56/194.35 inference(rename_variables,[],[4696])). % 194.56/194.35 cnf(11163,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x111631,x111631)),x111632),f263(x111631,f189(f928(x111631,a916)))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,11054,3826,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,4680,11034,11044,11146,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081])). % 194.56/194.35 cnf(11164,plain, % 194.56/194.35 (~P1(f324(f324(f326(x111641),x111642),f189(f928(x111641,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11166,plain, % 194.56/194.35 (~P1(f324(f324(f326(x111661),x111662),f324(f308(x111661,x111663,x111664),f189(f928(x111663,a916)))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,11054,3826,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,4680,11034,11044,11146,11164,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115])). % 194.56/194.35 cnf(11167,plain, % 194.56/194.35 (~P1(f324(f324(f326(x111671),x111672),f189(f928(x111671,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11170,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x111701,a916)),x111702),f324(f324(f306(x111701),x111703),x111702)))), % 194.56/194.35 inference(rename_variables,[],[3908])). % 194.56/194.35 cnf(11173,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x111731),x111731))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11175,plain, % 194.56/194.35 (P1(f324(f324(f326(x111751),x111752),f324(f324(f306(x111751),x111753),f324(f324(f306(x111751),x111752),x111754))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,3394,4635,10484,3359,10557,4696,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,11054,3826,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,4680,11034,11044,11146,11164,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,3908,11170,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206])). % 194.56/194.35 cnf(11176,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x111761,a916)),x111762),f324(f324(f306(x111761),x111763),x111762)))), % 194.56/194.35 inference(rename_variables,[],[3908])). % 194.56/194.35 cnf(11179,plain, % 194.56/194.35 (E(f324(f307(x111791,x111791,f7(x111791)),x111792),x111792)), % 194.56/194.35 inference(rename_variables,[],[3520])). % 194.56/194.35 cnf(11181,plain, % 194.56/194.35 (P32(x111811,x111812,x111813,f116(x111811,f115(x111811)),f115(x111812))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,3257,3308,3424,10493,10496,10592,10595,3401,3298,3361,3294,3321,3306,3932,3520,11057,3394,4635,10484,3359,10557,4696,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,4201,4106,11054,3826,4189,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,4680,11034,11044,11146,11164,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,3908,11170,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224])). % 194.56/194.35 cnf(11192,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x111921,a916)),x111922),f324(f324(f306(x111921),x111923),x111922)))), % 194.56/194.35 inference(rename_variables,[],[3908])). % 194.56/194.35 cnf(11203,plain, % 194.56/194.35 (~E(f324(a114,x112031),f2(a920))), % 194.56/194.35 inference(rename_variables,[],[4625])). % 194.56/194.35 cnf(11206,plain, % 194.56/194.35 (~P1(f324(f324(f172(x112061),f115(x112061)),x112062))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(11219,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x112191),f324(a114,x112191)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(11229,plain, % 194.56/194.35 (~E(f324(f307(x112291,f928(x112291,a916),x112292),x112293),f324(f305(x112291),x112293))), % 194.56/194.35 inference(rename_variables,[],[4678])). % 194.56/194.35 cnf(11232,plain, % 194.56/194.35 (~P1(f324(f324(f326(x112321),x112322),f189(f928(x112321,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11235,plain, % 194.56/194.35 (~P1(f324(f324(f326(x112351),x112352),f189(f928(x112351,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11238,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x112381,x112381)),f324(f324(f252(x112381,x112381),x112382),x112383)),f153(x112381,f115(f928(x112381,a920)))))), % 194.56/194.35 inference(rename_variables,[],[4695])). % 194.56/194.35 cnf(11241,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x112411,x112411)),f324(f324(f252(x112411,x112411),x112412),x112413)),f153(x112411,f115(f928(x112411,a920)))))), % 194.56/194.35 inference(rename_variables,[],[4695])). % 194.56/194.35 cnf(11246,plain, % 194.56/194.35 (~P1(f324(f324(f326(x112461),x112462),f189(f928(x112461,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11249,plain, % 194.56/194.35 (P1(f324(f324(f326(f927(x112491,x112491)),f324(f324(f252(x112491,x112491),x112492),x112492)),f304(x112491,x112493)))), % 194.56/194.35 inference(rename_variables,[],[4097])). % 194.56/194.35 cnf(11252,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x112521,a916)),x112522),f242(f928(x112521,a916))))), % 194.56/194.35 inference(rename_variables,[],[3843])). % 194.56/194.35 cnf(11255,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x112551,a916)),f324(f172(x112551),f176(x112551,x112552,x112553))),f324(f172(x112551),x112552)))), % 194.56/194.35 inference(rename_variables,[],[4155])). % 194.56/194.35 cnf(11257,plain, % 194.56/194.35 (P1(f324(f61(x112571),f324(f324(f72(x112572,x112573,x112574,f307(a920,x112571,x112575)),f262(a920)),f324(f324(f9(a920,a920,a916),f235(a920)),x112576))))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,10750,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,3359,10557,4239,4097,4696,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,4680,11034,11044,11146,11164,11167,11232,11235,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3910,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690])). % 194.56/194.35 cnf(11271,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x112711,a916)),f189(f928(x112711,a916))),x112712))), % 194.56/194.35 inference(rename_variables,[],[3910])). % 194.56/194.35 cnf(11279,plain, % 194.56/194.35 (~P1(f324(f324(f67(f921(x112791),f921(x112791),f145(x112791,x112792)),x112793),f115(x112791)))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,4625,10651,10750,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,3359,10557,4239,4097,4696,11157,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,4680,11034,11044,11146,11164,11167,11232,11235,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730])). % 194.56/194.35 cnf(11282,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x112821),f921(x112821))),f324(f324(f252(f921(x112821),f921(x112821)),x112822),f115(x112821))),f147(x112821,x112823)))), % 194.56/194.35 inference(rename_variables,[],[4697])). % 194.56/194.35 cnf(11293,plain, % 194.56/194.35 (~E(f324(a114,x112931),x112931)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11296,plain, % 194.56/194.35 (~E(f324(a114,x112961),x112961)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11303,plain, % 194.56/194.35 (~E(f324(a114,x113031),f2(a920))), % 194.56/194.35 inference(rename_variables,[],[4625])). % 194.56/194.35 cnf(11305,plain, % 194.56/194.35 (E(f324(x113051,f324(f91(x113052,x113053,f242(f928(x113052,a916)),x113051),f324(x113051,x113054))),f324(x113051,x113054))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,3359,10557,4239,4097,4696,11157,4697,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,4680,11034,11044,11146,11164,11167,11232,11235,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789])). % 194.56/194.35 cnf(11308,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x113081,a916)),x113082),x113082))), % 194.56/194.35 inference(rename_variables,[],[3758])). % 194.56/194.35 cnf(11315,plain, % 194.56/194.35 (~E(f324(a114,x113151),x113151)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11318,plain, % 194.56/194.35 (~E(f324(a114,x113181),x113181)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11320,plain, % 194.56/194.35 (~P23(x113201,f928(x113201,a916),x113202,x113203,f324(f305(x113201),x113203))), % 194.56/194.35 inference(scs_inference,[],[3507,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3359,10557,4239,4097,4696,11157,4697,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,4680,11034,11044,11146,11164,11167,11232,11235,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3758,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827])). % 194.56/194.35 cnf(11323,plain, % 194.56/194.35 (P22(x113231,x113231,f7(x113231),x113232)), % 194.56/194.35 inference(rename_variables,[],[3700])). % 194.56/194.35 cnf(11328,plain, % 194.56/194.35 (~E(f324(f307(x113281,f928(x113281,a916),x113282),x113283),f324(f305(x113281),x113283))), % 194.56/194.35 inference(rename_variables,[],[4678])). % 194.56/194.35 cnf(11333,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x113331,a916)),x113332),f242(f928(x113331,a916))))), % 194.56/194.35 inference(rename_variables,[],[3843])). % 194.56/194.35 cnf(11349,plain, % 194.56/194.35 (~P1(f324(f324(f326(x113491),x113492),f189(f928(x113491,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11352,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x113521)),x113521))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(11357,plain, % 194.56/194.35 (~P1(f324(f324(f326(x113571),x113572),f189(f928(x113571,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11367,plain, % 194.56/194.35 (~P1(f324(f324(f326(a920),f324(a114,f324(f142(a920,a920,f79(a920),f2(a920)),x113671))),f324(f172(a920),x113671)))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,4696,11157,4697,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,11252,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3758,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011])). % 194.56/194.35 cnf(11368,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x113681)),x113681))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(11371,plain, % 194.56/194.35 (~P1(f324(f324(f326(x113711),x113712),f189(f928(x113711,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11380,plain, % 194.56/194.35 (P1(f324(f324(f326(f927(x113801,x113801)),f324(f324(f252(x113801,x113801),x113802),x113802)),f304(x113801,x113803)))), % 194.56/194.35 inference(rename_variables,[],[4097])). % 194.56/194.35 cnf(11383,plain, % 194.56/194.35 (P1(f324(f324(f326(x113831),x113832),f242(f928(x113831,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(11386,plain, % 194.56/194.35 (P1(f324(f324(f326(x113861),x113862),f242(f928(x113861,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(11390,plain, % 194.56/194.35 (P1(f324(f324(f326(f927(f921(x113901),f921(x113901))),f324(f324(f252(f921(x113901),f921(x113901)),f115(x113901)),f115(x113901))),f324(f284(f921(x113901),f921(x113901)),f158(x113901,x113902))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,4696,11157,4697,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,11252,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3758,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183])). % 194.56/194.35 cnf(11393,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x113931),f921(x113931))),f324(f324(f252(f921(x113931),f921(x113931)),x113932),f115(x113931))),f145(x113931,x113933)))), % 194.56/194.35 inference(rename_variables,[],[4696])). % 194.56/194.35 cnf(11396,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x113961),f921(x113961))),f324(f324(f252(f921(x113961),f921(x113961)),x113962),f115(x113961))),f147(x113961,x113963)))), % 194.56/194.35 inference(rename_variables,[],[4697])). % 194.56/194.35 cnf(11399,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x113991),f921(x113991))),f324(f324(f252(f921(x113991),f921(x113991)),x113992),f115(x113991))),f157(x113991,x113993)))), % 194.56/194.35 inference(rename_variables,[],[4698])). % 194.56/194.35 cnf(11401,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x114011),f921(x114011))),f324(f324(f252(f921(x114011),f921(x114011)),f115(x114011)),x114012)),f324(f284(f921(x114011),f921(x114011)),f145(x114011,x114013))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,11252,4688,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3758,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231])). % 194.56/194.35 cnf(11404,plain, % 194.56/194.35 (~P1(f324(f324(f235(f928(x114041,a916)),x114042),f189(f928(x114041,a916))))), % 194.56/194.35 inference(rename_variables,[],[4688])). % 194.56/194.35 cnf(11407,plain, % 194.56/194.35 (~P1(f324(f324(f326(x114071),x114072),f189(f928(x114071,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11411,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114111,a916)),x114112),f324(f324(f112(f928(x114111,a916)),x114113),f242(f928(x114111,a916)))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3758,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290])). % 194.56/194.35 cnf(11412,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114121,a916)),x114122),f242(f928(x114121,a916))))), % 194.56/194.35 inference(rename_variables,[],[3843])). % 194.56/194.35 cnf(11415,plain, % 194.56/194.35 (~P1(f324(f324(f189(f928(x114151,f928(x114152,a916))),x114153),x114154))), % 194.56/194.35 inference(rename_variables,[],[4694])). % 194.56/194.35 cnf(11421,plain, % 194.56/194.35 (~P1(f324(f324(f255(x114211,x114212,a916,f324(f172(x114213),f115(x114213))),x114214),x114215))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,4064,3908,11170,11176,3758,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404])). % 194.56/194.35 cnf(11422,plain, % 194.56/194.35 (~P1(f324(f324(f172(x114221),f115(x114221)),x114222))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(11427,plain, % 194.56/194.35 (~P1(f324(f324(f326(x114271),x114272),f189(f928(x114271,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11430,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x114301,x114301)),f324(f324(f252(x114301,x114301),x114302),x114303)),f153(x114301,f115(f928(x114301,a920)))))), % 194.56/194.35 inference(rename_variables,[],[4695])). % 194.56/194.35 cnf(11432,plain, % 194.56/194.35 (E(f324(f307(x114321,x114322,x114323),f510(x114324,x114323,x114321,f324(f307(x114321,x114322,x114323),x114324),x114322)),f324(f307(x114321,x114322,x114323),x114324))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426])). % 194.56/194.35 cnf(11433,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114331,a916)),x114332),x114332))), % 194.56/194.35 inference(rename_variables,[],[3758])). % 194.56/194.35 cnf(11436,plain, % 194.56/194.35 (~P1(f324(f324(f326(x114361),x114362),f189(f928(x114361,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11438,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114381,a916)),f324(f283(x114382,x114381,f189(f928(f927(x114382,x114381),a916))),x114383)),x114384))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471])). % 194.56/194.35 cnf(11439,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114391,a916)),f189(f928(x114391,a916))),x114392))), % 194.56/194.35 inference(rename_variables,[],[3910])). % 194.56/194.35 cnf(11442,plain, % 194.56/194.35 (P1(f324(f324(f326(f927(x114421,x114421)),f324(f324(f252(x114421,x114421),x114422),x114422)),f304(x114421,x114423)))), % 194.56/194.35 inference(rename_variables,[],[4097])). % 194.56/194.35 cnf(11444,plain, % 194.56/194.35 (~P32(x114441,x114442,x114443,f324(f324(f154(x114444,x114441),x114445),f324(a114,f115(x114444))),f115(x114442))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479])). % 194.56/194.35 cnf(11446,plain, % 194.56/194.35 (~E(f324(f324(f103(f928(f927(f921(x114461),f921(x114461)),a916)),f324(f284(f921(x114461),f921(x114461)),f158(x114461,x114462))),f304(f921(x114461),f158(x114461,x114462))),f189(f928(f927(f921(x114461),f921(x114461)),a916)))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502])). % 194.56/194.35 cnf(11448,plain, % 194.56/194.35 (P32(x114481,x114482,x114483,f324(f324(f154(x114484,x114481),x114485),f116(x114484,f115(x114484))),f115(x114482))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503])). % 194.56/194.35 cnf(11452,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x114521),f921(x114521))),f324(f324(f252(f921(x114521),f921(x114521)),x114522),f115(x114521))),f324(f284(f921(x114521),f921(x114521)),f157(x114521,x114523))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,11399,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594])). % 194.56/194.35 cnf(11453,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x114531),f921(x114531))),f324(f324(f252(f921(x114531),f921(x114531)),x114532),f115(x114531))),f157(x114531,x114533)))), % 194.56/194.35 inference(rename_variables,[],[4698])). % 194.56/194.35 cnf(11459,plain, % 194.56/194.35 (~P1(f324(f324(f326(f921(x114591)),f115(x114591)),f324(f264(f921(x114591),f921(x114591)),f145(x114591,x114592))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,11399,4699,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635])). % 194.56/194.35 cnf(11460,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x114601),f921(x114601))),f324(f324(f252(f921(x114601),f921(x114601)),f115(x114601)),x114602)),f145(x114601,x114603)))), % 194.56/194.35 inference(rename_variables,[],[4699])). % 194.56/194.35 cnf(11465,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f928(x114651,a916),f928(x114651,a916))),f324(f324(f252(f928(x114651,a916),f928(x114651,a916)),x114652),f189(f928(x114651,a916)))),f311(x114651)))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,11399,4699,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637])). % 194.56/194.35 cnf(11468,plain, % 194.56/194.35 (P1(f324(f324(f326(x114681),x114682),f242(f928(x114681,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(11473,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114731,a916)),f189(f928(x114731,a916))),x114732))), % 194.56/194.35 inference(rename_variables,[],[3910])). % 194.56/194.35 cnf(11476,plain, % 194.56/194.35 (~P1(f324(f324(f326(x114761),x114762),f189(f928(x114761,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11479,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114791,a916)),x114792),f242(f928(x114791,a916))))), % 194.56/194.35 inference(rename_variables,[],[3843])). % 194.56/194.35 cnf(11483,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114831,a916)),f324(f283(x114832,x114831,x114833),f189(f928(x114832,a916)))),x114834))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,11399,4699,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743])). % 194.56/194.35 cnf(11484,plain, % 194.56/194.35 (P1(f324(f324(f234(f928(x114841,a916)),f189(f928(x114841,a916))),x114842))), % 194.56/194.35 inference(rename_variables,[],[3910])). % 194.56/194.35 cnf(11486,plain, % 194.56/194.35 (~P1(f324(f66(a920,x114861,x114862,x114863,f242(f928(a920,a916))),x114864))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,4698,11399,4699,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,3524,10877,10907,10916,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764])). % 194.56/194.35 cnf(11497,plain, % 194.56/194.35 (P1(f324(f242(f928(x114971,a916)),x114972))), % 194.56/194.35 inference(rename_variables,[],[3524])). % 194.56/194.35 cnf(11505,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x115051),f921(x115051))),f324(f324(f252(f921(x115051),f921(x115051)),x115052),f115(x115051))),f145(x115051,x115053)))), % 194.56/194.35 inference(rename_variables,[],[4696])). % 194.56/194.35 cnf(11508,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x115081),f921(x115081))),f324(f324(f252(f921(x115081),f921(x115081)),x115082),f115(x115081))),f147(x115081,x115083)))), % 194.56/194.35 inference(rename_variables,[],[4697])). % 194.56/194.35 cnf(11511,plain, % 194.56/194.35 (~E(f324(f324(f151(x115111),x115112),x115113),x115113)), % 194.56/194.35 inference(rename_variables,[],[4635])). % 194.56/194.35 cnf(11514,plain, % 194.56/194.35 (~E(f324(a114,x115141),x115141)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11517,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115171),x115172),f189(f928(x115171,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11519,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115191),x115192),f324(f283(x115193,x115191,x115194),f324(f283(x115195,x115193,x115196),f189(f928(x115195,a916))))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,4697,11282,11396,4698,11399,4699,11460,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884])). % 194.56/194.35 cnf(11522,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115221),x115222),f189(f928(x115221,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11525,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115251),x115252),f189(f928(x115251,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11528,plain, % 194.56/194.35 (P1(f324(f324(f326(f927(f921(x115281),f921(x115281))),f324(f324(f252(f921(x115281),f921(x115281)),x115282),x115282)),f158(x115281,f304(x115281,x115283))))), % 194.56/194.35 inference(rename_variables,[],[4232])). % 194.56/194.35 cnf(11531,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x115311),f921(x115311))),f324(f324(f252(f921(x115311),f921(x115311)),x115312),f115(x115311))),f145(x115311,x115313)))), % 194.56/194.35 inference(rename_variables,[],[4696])). % 194.56/194.35 cnf(11535,plain, % 194.56/194.35 (E(f324(f324(f151(x115351),f684(f304(x115351,x115352),f324(f324(f151(x115351),x115353),x115354),x115354,x115353,x115351)),f685(f304(x115351,x115352),f324(f324(f151(x115351),x115353),x115354),x115354,x115353,x115351)),f324(f324(f151(x115351),x115353),x115354))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,11505,4697,11282,11396,4698,11399,4699,11460,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4232,11528,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941])). % 194.56/194.35 cnf(11541,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115411),x115412),f189(f928(x115411,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11544,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115441),x115442),f189(f928(x115441,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11547,plain, % 194.56/194.35 (P1(f324(f324(f326(x115471),x115472),f242(f928(x115471,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(11550,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x115501),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(11554,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x115541),f921(x115541))),f324(f324(f252(f921(x115541),f921(x115541)),x115542),x115543)),f157(x115541,f153(x115541,f115(f928(x115541,a920))))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,4678,11229,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,11505,4697,11282,11396,4698,11399,4699,11460,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4232,11528,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,11468,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,11430,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077])). % 194.56/194.35 cnf(11555,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x115551,x115551)),f324(f324(f252(x115551,x115551),x115552),x115553)),f153(x115551,f115(f928(x115551,a920)))))), % 194.56/194.35 inference(rename_variables,[],[4695])). % 194.56/194.35 cnf(11557,plain, % 194.56/194.35 (~E(f324(f258(x115571,x115572,x115573,x115573,f307(x115574,f928(x115574,a916),x115575),f31(x115573)),x115576),f324(f258(x115571,x115572,x115573,x115573,f305(x115574),f31(x115573)),x115576))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,4678,11229,11328,3567,3359,10557,4239,4097,11249,11380,4696,11157,11393,11505,4697,11282,11396,4698,11399,4699,11460,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4232,11528,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,11468,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,11430,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118])). % 194.56/194.35 cnf(11558,plain, % 194.56/194.35 (~E(f324(f307(x115581,f928(x115581,a916),x115582),x115583),f324(f305(x115581),x115583))), % 194.56/194.35 inference(rename_variables,[],[4678])). % 194.56/194.35 cnf(11561,plain, % 194.56/194.35 (~E(f324(f307(x115611,f928(x115611,a916),x115612),x115613),f324(f305(x115611),x115613))), % 194.56/194.35 inference(rename_variables,[],[4678])). % 194.56/194.35 cnf(11566,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x115661),f921(x115661))),f324(f324(f252(f921(x115661),f921(x115661)),x115662),f115(x115661))),f145(x115661,x115663)))), % 194.56/194.35 inference(rename_variables,[],[4696])). % 194.56/194.35 cnf(11569,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x115691),f921(x115691))),f324(f324(f252(f921(x115691),f921(x115691)),x115692),f115(x115691))),f147(x115691,x115693)))), % 194.56/194.35 inference(rename_variables,[],[4697])). % 194.56/194.35 cnf(11572,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(f921(x115721),f921(x115721))),f324(f324(f252(f921(x115721),f921(x115721)),x115722),f115(x115721))),f145(x115721,x115723)))), % 194.56/194.35 inference(rename_variables,[],[4696])). % 194.56/194.35 cnf(11575,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115751),x115752),f189(f928(x115751,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11579,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x115791,x115792)),x115793),f324(f324(f286(x115791,x115794,x115792),f189(f928(f927(x115791,x115794),a916))),x115795)))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,4678,11229,11328,11558,3567,3359,10557,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4232,11528,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,11468,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,11430,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333])). % 194.56/194.35 cnf(11580,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115801),x115802),f189(f928(x115801,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11583,plain, % 194.56/194.35 (~P1(f324(f324(f326(x115831),x115832),f189(f928(x115831,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11586,plain, % 194.56/194.35 (P1(f324(f324(f326(x115861),f324(x115862,x115863)),f324(f307(x115864,x115861,x115862),f242(f928(x115864,a916)))))), % 194.56/194.35 inference(rename_variables,[],[4064])). % 194.56/194.35 cnf(11588,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x115881,x115882)),x115883),f324(f307(f927(x115884,x115884),f927(x115881,x115882),f258(x115884,x115881,x115884,x115882,x115885,x115886)),f153(x115884,f115(f928(x115884,a920))))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,4625,10651,10750,11203,3257,3308,3424,10493,10496,10592,10595,3401,3920,3298,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,4678,11229,11328,11558,3567,3359,10557,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,4671,10461,10464,10490,10988,11001,11115,4684,3900,3667,4046,3489,3491,3465,4668,4629,4232,11528,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,11468,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4690,10779,4695,11238,11241,11430,11555,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410])). % 194.56/194.35 cnf(11589,plain, % 194.56/194.35 (~P1(f324(f324(f326(f927(x115891,x115891)),f324(f324(f252(x115891,x115891),x115892),x115893)),f153(x115891,f115(f928(x115891,a920)))))), % 194.56/194.35 inference(rename_variables,[],[4695])). % 194.56/194.35 cnf(11597,plain, % 194.56/194.35 (E(f116(x115971,f115(x115971)),f115(x115971))), % 194.56/194.35 inference(rename_variables,[],[3308])). % 194.56/194.35 cnf(11600,plain, % 194.56/194.35 (~E(f324(a114,x116001),x116001)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11607,plain, % 194.56/194.35 (~E(f324(a114,x116071),x116071)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11612,plain, % 194.56/194.35 (E(f324(f282(x116121,x116121),f263(x116121,x116122)),x116122)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11615,plain, % 194.56/194.35 (E(f324(f282(x116151,x116151),f263(x116151,x116152)),x116152)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11621,plain, % 194.56/194.35 (~E(f324(a114,x116211),x116211)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11626,plain, % 194.56/194.35 (~E(f324(f324(f79(a1),x116261),x116261),a99)), % 194.56/194.35 inference(rename_variables,[],[4632])). % 194.56/194.35 cnf(11633,plain, % 194.56/194.35 (E(f324(f324(f3(a920),f2(a920)),x116331),f2(a920))), % 194.56/194.35 inference(rename_variables,[],[3380])). % 194.56/194.35 cnf(11636,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x116361),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(11643,plain, % 194.56/194.35 (E(f324(f324(f79(a1),f324(f324(f80(a1),x116431),f324(f324(f36(a1),x116432),x116431))),f45(a1,x116432,x116431)),x116432)), % 194.56/194.35 inference(rename_variables,[],[4013])). % 194.56/194.35 cnf(11667,plain, % 194.56/194.35 (~E(f324(a114,x116671),x116671)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11670,plain, % 194.56/194.35 (~E(f324(a114,x116701),x116701)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11692,plain, % 194.56/194.35 (~E(f324(a114,x116921),x116921)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11695,plain, % 194.56/194.35 (~E(f324(f324(f151(x116951),x116952),x116953),x116953)), % 194.56/194.35 inference(rename_variables,[],[4635])). % 194.56/194.35 cnf(11702,plain, % 194.56/194.35 (~P1(f324(f324(f172(x117021),f115(x117021)),x117022))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(11708,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),f2(a920)),f324(a114,x117081)))), % 194.56/194.35 inference(rename_variables,[],[3543])). % 194.56/194.35 cnf(11709,plain, % 194.56/194.35 (~E(f324(a114,x117091),x117091)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11712,plain, % 194.56/194.35 (P1(f324(f324(f326(x117121),x117122),f242(f928(x117121,a916))))), % 194.56/194.35 inference(rename_variables,[],[3616])). % 194.56/194.35 cnf(11724,plain, % 194.56/194.35 (~E(f324(a114,x117241),x117241)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11727,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x117271),x117271))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(11734,plain, % 194.56/194.35 (P1(f324(f66(x117341,x117342,x117343,x117344,f189(f928(x117341,a916))),x117344))), % 194.56/194.35 inference(rename_variables,[],[4374])). % 194.56/194.35 cnf(11735,plain, % 194.56/194.35 (E(f324(f282(x117351,x117351),f263(x117351,x117352)),x117352)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11747,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),f324(f324(f79(a920),x117471),x117472)),f324(f324(f79(a920),f324(a114,f324(f324(f79(a920),x117471),x117472))),f324(f324(f79(a920),x117471),x117472))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,3384,4625,10651,10750,11203,3071,3074,3082,3087,3089,3090,3103,3113,3124,3125,3134,3157,3158,3165,3182,3214,3236,3244,3355,3257,4613,3308,3424,10493,10496,10592,10595,10904,11612,11615,3401,3920,3298,4013,11643,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,11511,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,3543,4671,10461,10464,10490,10988,11001,11115,11550,4684,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,11102,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,10874,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480])). % 194.56/194.35 cnf(11748,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x117481),x117482)),x117482))), % 194.56/194.35 inference(rename_variables,[],[4691])). % 194.56/194.35 cnf(11751,plain, % 194.56/194.35 (~P1(f324(f324(f235(a1),f324(f102(a1),x117511)),f2(a1)))), % 194.56/194.35 inference(rename_variables,[],[4684])). % 194.56/194.35 cnf(11763,plain, % 194.56/194.35 (~E(f324(f324(f151(x117631),x117632),f324(f324(f134(x117631),f116(x117631,f115(x117631))),x117633)),x117633)), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,3384,4625,10651,10750,11203,3071,3074,3082,3086,3087,3089,3090,3103,3113,3124,3125,3134,3157,3158,3165,3182,3214,3236,3244,3355,3257,4613,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,3401,3920,3298,4013,11643,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,11511,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,3543,4671,10461,10464,10490,10988,11001,11115,11550,11636,4684,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,11102,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,11368,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,10874,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499])). % 194.56/194.35 cnf(11765,plain, % 194.56/194.35 (~E(f324(f324(f103(a920),f324(a114,x117651)),x117651),f324(a114,x117651))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,3384,4625,10651,10750,11203,3071,3074,3082,3086,3087,3089,3090,3094,3103,3113,3124,3125,3134,3157,3158,3165,3182,3214,3236,3244,3355,3257,4613,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,3401,3920,3298,4013,11643,3361,3294,3321,3306,3932,3520,11057,3394,4095,4635,10484,10648,11511,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,3913,3447,3543,4671,10461,10464,10490,10988,11001,11115,11550,11636,4684,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,11102,4667,10501,10533,11025,11066,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,3524,10877,10907,10916,10919,3556,3981,3918,10536,4677,10481,10865,10868,11352,11368,3483,10910,11060,4280,4674,3989,4659,4662,3440,3444,4661,4660,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,10874,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503])). % 194.56/194.35 cnf(11774,plain, % 194.56/194.35 (E(f324(f282(x117741,x117741),f263(x117741,x117742)),x117742)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11779,plain, % 194.56/194.35 (E(f324(f282(x117791,x117791),f263(x117791,x117792)),x117792)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11782,plain, % 194.56/194.35 (~P1(f324(f324(f235(a1),f324(f102(a1),x117821)),f2(a1)))), % 194.56/194.35 inference(rename_variables,[],[4684])). % 194.56/194.35 cnf(11787,plain, % 194.56/194.35 (~E(f324(a114,x117871),x117871)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11796,plain, % 194.56/194.35 (~P1(f324(f324(f172(x117961),f115(x117961)),x117962))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(11819,plain, % 194.56/194.35 (~P1(f324(f324(f235(a1),f324(f102(a1),x118191)),f2(a1)))), % 194.56/194.35 inference(rename_variables,[],[4684])). % 194.56/194.35 cnf(11822,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x118221),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(11823,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),x118231),f324(a114,x118231)))), % 194.56/194.35 inference(rename_variables,[],[3531])). % 194.56/194.35 cnf(11826,plain, % 194.56/194.35 (~P1(f324(f324(f235(a1),f324(f102(a1),x118261)),f2(a1)))), % 194.56/194.35 inference(rename_variables,[],[4684])). % 194.56/194.35 cnf(11829,plain, % 194.56/194.35 (~P1(f324(f324(f326(x118291),x118292),f189(f928(x118291,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11830,plain, % 194.56/194.35 (P1(f324(f324(f326(f928(x118301,a916)),x118302),f324(f305(x118301),x118302)))), % 194.56/194.35 inference(rename_variables,[],[3826])). % 194.56/194.35 cnf(11845,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x118451)),x118451))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(11846,plain, % 194.56/194.35 (~E(f324(a114,x118461),x118461)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11849,plain, % 194.56/194.35 (E(f324(f282(x118491,x118491),f263(x118491,x118492)),x118492)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11859,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x118591),x118592)),x118591))), % 194.56/194.35 inference(rename_variables,[],[4692])). % 194.56/194.35 cnf(11862,plain, % 194.56/194.35 (~P1(f324(f324(f235(a1),f324(f102(a1),x118621)),f2(a1)))), % 194.56/194.35 inference(rename_variables,[],[4684])). % 194.56/194.35 cnf(11865,plain, % 194.56/194.35 (~E(f324(a114,x118651),x118651)), % 194.56/194.35 inference(rename_variables,[],[4615])). % 194.56/194.35 cnf(11878,plain, % 194.56/194.35 (P1(f324(f324(f326(x118781),x118782),f324(f324(f306(x118781),x118782),x118783)))), % 194.56/194.35 inference(rename_variables,[],[3774])). % 194.56/194.35 cnf(11879,plain, % 194.56/194.35 (~P1(f324(f324(f234(a1),f2(a1)),f324(f78(a1),f324(f102(a1),f324(a114,x118791)))))), % 194.56/194.35 inference(rename_variables,[],[4693])). % 194.56/194.35 cnf(11882,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),f324(f324(f3(a920),x118821),x118822)),f324(a114,x118821)))), % 194.56/194.35 inference(rename_variables,[],[3913])). % 194.56/194.35 cnf(11885,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f45(a920,x118851,x118852)),x118851))), % 194.56/194.35 inference(rename_variables,[],[3918])). % 194.56/194.35 cnf(11891,plain, % 194.56/194.35 (E(f324(f282(x118911,x118911),f263(x118911,x118912)),x118912)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11896,plain, % 194.56/194.35 (E(f324(f324(f134(x118961),f169(x118961,x118962,x118963)),f169(x118961,x118964,x118963)),f324(f324(f134(x118961),f169(x118961,x118964,x118963)),f169(x118961,x118962,x118963)))), % 194.56/194.35 inference(rename_variables,[],[4027])). % 194.56/194.35 cnf(11901,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x119011)),x119011))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(11910,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x119101),x119101))), % 194.56/194.35 inference(rename_variables,[],[4667])). % 194.56/194.35 cnf(11913,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f45(a920,x119131,x119132)),x119131))), % 194.56/194.35 inference(rename_variables,[],[3918])). % 194.56/194.35 cnf(11914,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f2(a920)),x119141))), % 194.56/194.35 inference(rename_variables,[],[3483])). % 194.56/194.35 cnf(11916,plain, % 194.56/194.35 (~P1(f324(f324(f234(a1),f77(a1)),f2(a1)))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,3071,3073,3074,3082,3083,3086,3087,3089,3090,3094,3095,3103,3109,3110,3113,3124,3125,3134,3157,3158,3165,3182,3214,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,3447,3543,4671,10461,10464,10490,10988,11001,11115,11550,11636,4684,11751,11782,11819,11826,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,3464,10612,10662,10895,10983,11102,4667,10501,10533,11025,11066,11075,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,4677,10481,10865,10868,11352,11368,11845,3483,10910,11060,11130,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,10874,4692,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946])). % 194.56/194.35 cnf(11931,plain, % 194.56/194.35 (E(f324(f282(x119311,x119311),f263(x119311,x119312)),x119312)), % 194.56/194.35 inference(rename_variables,[],[3424])). % 194.56/194.35 cnf(11934,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x119341),x119341))), % 194.56/194.35 inference(rename_variables,[],[4667])). % 194.56/194.35 cnf(11937,plain, % 194.56/194.35 (P1(f324(f324(f326(x119371),f324(x119372,x119373)),f324(f307(x119374,x119371,x119372),f242(f928(x119374,a916)))))), % 194.56/194.35 inference(rename_variables,[],[4064])). % 194.56/194.35 cnf(11938,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x119381)),x119381))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(11941,plain, % 194.56/194.35 (P1(f324(f324(f326(x119411),f324(x119412,x119413)),f324(f307(x119414,x119411,x119412),f242(f928(x119414,a916)))))), % 194.56/194.35 inference(rename_variables,[],[4064])). % 194.56/194.35 cnf(11942,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x119421),x119422)),x119422))), % 194.56/194.35 inference(rename_variables,[],[4691])). % 194.56/194.35 cnf(11947,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x119471),x119472)),x119471))), % 194.56/194.35 inference(rename_variables,[],[4692])). % 194.56/194.35 cnf(11950,plain, % 194.56/194.35 (~P1(f324(f324(f172(x119501),f115(x119501)),x119502))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(11953,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x119531),x119531))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(11959,plain, % 194.56/194.35 (~P33(x119591,x119592,f115(x119591))), % 194.56/194.35 inference(rename_variables,[],[4646])). % 194.56/194.35 cnf(11962,plain, % 194.56/194.35 (P1(f324(f324(f326(x119621),x119622),f324(f324(f306(x119621),x119622),x119623)))), % 194.56/194.35 inference(rename_variables,[],[3774])). % 194.56/194.35 cnf(11974,plain, % 194.56/194.35 (E(f324(f35(x119741),f324(f324(f306(x119741),x119742),f189(f928(x119741,a916)))),f324(a114,f324(f35(x119741),f189(f928(x119741,a916)))))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,3071,3073,3074,3082,3083,3086,3087,3089,3090,3094,3095,3103,3109,3110,3113,3124,3125,3134,3157,3158,3165,3182,3214,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,4684,11751,11782,11819,11826,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,3464,10612,10662,10895,10983,11102,3539,4667,10501,10533,11025,11066,11075,11910,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,4677,10481,10865,10868,11352,11368,11845,11901,3483,10910,11060,11130,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122])). % 194.56/194.35 cnf(11975,plain, % 194.56/194.35 (~P1(f324(f324(f326(x119751),x119752),f189(f928(x119751,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(11980,plain, % 194.56/194.35 (E(f324(f324(f18(x119801,x119802),x119803),x119804),x119803)), % 194.56/194.35 inference(rename_variables,[],[3454])). % 194.56/194.35 cnf(11983,plain, % 194.56/194.35 (E(f324(f324(f18(x119831,x119832),x119833),x119834),x119833)), % 194.56/194.35 inference(rename_variables,[],[3454])). % 194.56/194.35 cnf(11995,plain, % 194.56/194.35 (P1(f324(f324(f235(a920),f2(a920)),f324(a114,x119951)))), % 194.56/194.35 inference(rename_variables,[],[3543])). % 194.56/194.35 cnf(11998,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),x119981),x119981))), % 194.56/194.35 inference(rename_variables,[],[3463])). % 194.56/194.35 cnf(12001,plain, % 194.56/194.35 (P1(f324(f61(x120011),f324(f172(x120011),x120012)))), % 194.56/194.35 inference(rename_variables,[],[3502])). % 194.56/194.35 cnf(12004,plain, % 194.56/194.35 (P1(f324(f61(x120041),f324(f172(x120041),x120042)))), % 194.56/194.35 inference(rename_variables,[],[3502])). % 194.56/194.35 cnf(12007,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),f324(f78(a1),f324(f102(a1),x120071))),f324(f102(a1),x120072)))), % 194.56/194.35 inference(rename_variables,[],[3942])). % 194.56/194.35 cnf(12010,plain, % 194.56/194.35 (~P1(f324(f324(f326(x120101),x120102),f189(f928(x120101,a916))))), % 194.56/194.35 inference(rename_variables,[],[4680])). % 194.56/194.35 cnf(12024,plain, % 194.56/194.35 (~P1(f324(f324(f326(a920),f2(a920)),f324(f301(a920),x120241)))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3109,3110,3113,3124,3125,3134,3157,3158,3165,3182,3214,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,4684,11751,11782,11819,11826,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,3464,10612,10662,10895,10983,11102,3539,4667,10501,10533,11025,11066,11075,11910,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,4677,10481,10865,10868,11352,11368,11845,11901,11938,3483,10910,11060,11130,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296])). % 194.56/194.35 cnf(12032,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),f45(a920,x120321,f189(a920))),x120321))), % 194.56/194.35 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3109,3110,3113,3124,3125,3134,3157,3158,3165,3182,3214,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,4684,11751,11782,11819,11826,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,3464,10612,10662,10895,10983,11102,11727,3539,4667,10501,10533,11025,11066,11075,11910,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,4677,10481,10865,10868,11352,11368,11845,11901,11938,3483,10910,11060,11130,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329])). % 194.56/194.35 cnf(12033,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x120331),x120331))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(12036,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x120361),x120361))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(12045,plain, % 194.56/194.35 (P1(f324(f324(f234(a1),x120451),x120451))), % 194.56/194.35 inference(rename_variables,[],[3464])). % 194.56/194.35 cnf(12048,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x120481),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(12053,plain, % 194.56/194.35 (~P1(f324(f324(f235(a920),x120531),f2(a920)))), % 194.56/194.35 inference(rename_variables,[],[4671])). % 194.56/194.35 cnf(12062,plain, % 194.56/194.35 (P1(f324(f324(f234(a920),f2(a920)),x120621))), % 194.56/194.35 inference(rename_variables,[],[3483])). % 194.56/194.35 cnf(12063,plain, % 194.56/194.35 (~P1(f324(f324(f234(a920),f324(a114,x120631)),x120631))), % 194.56/194.35 inference(rename_variables,[],[4677])). % 194.56/194.35 cnf(12066,plain, % 194.56/194.35 (~P1(f324(f324(f172(x120661),f115(x120661)),x120662))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(12069,plain, % 194.56/194.35 (~P1(f324(f324(f172(x120691),f115(x120691)),x120692))), % 194.56/194.35 inference(rename_variables,[],[4676])). % 194.56/194.35 cnf(12083,plain, % 194.56/194.35 (~P1(f324(f324(f235(a1),f324(f102(a1),f324(a114,x120831))),f324(f78(a1),f2(a1))))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,3464,10612,10662,10895,10983,11102,11727,12033,12036,3539,4667,10501,10533,11025,11066,11075,11910,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588])). % 194.56/194.36 cnf(12087,plain, % 194.56/194.36 (P1(f324(f324(f235(a1),f324(f78(a1),f77(a1))),f2(a1)))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,3464,10612,10662,10895,10983,11102,11727,12033,12036,3539,4667,10501,10533,11025,11066,11075,11910,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604])). % 194.56/194.36 cnf(12090,plain, % 194.56/194.36 (~P1(f324(f324(f234(a920),f324(a114,x120901)),x120901))), % 194.56/194.36 inference(rename_variables,[],[4677])). % 194.56/194.36 cnf(12093,plain, % 194.56/194.36 (~P1(f324(f324(f234(a920),f324(a114,x120931)),x120931))), % 194.56/194.36 inference(rename_variables,[],[4677])). % 194.56/194.36 cnf(12096,plain, % 194.56/194.36 (~P1(f324(f324(f234(a920),f324(a114,x120961)),x120961))), % 194.56/194.36 inference(rename_variables,[],[4677])). % 194.56/194.36 cnf(12099,plain, % 194.56/194.36 (~P1(f324(f324(f234(a920),f324(a114,x120991)),x120991))), % 194.56/194.36 inference(rename_variables,[],[4677])). % 194.56/194.36 cnf(12101,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),f324(f324(f112(a920),x121011),x121012)),x121012))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,3464,10612,10662,10895,10983,11102,11727,12033,12036,3539,4667,10501,10533,11025,11066,11075,11910,11934,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613])). % 194.56/194.36 cnf(12102,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x121021),x121021))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12105,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x121051),x121051))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12108,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x121081),x121081))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12111,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x121111),x121111))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12127,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),f324(f324(f3(a920),x121271),f324(a114,x121271))),f2(a920)))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,3464,10612,10662,10895,10983,11102,11727,12033,12036,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679])). % 194.56/194.36 cnf(12128,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x121281),x121281))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12131,plain, % 194.56/194.36 (P22(a920,a920,a114,x121311)), % 194.56/194.36 inference(rename_variables,[],[3666])). % 194.56/194.36 cnf(12133,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x121331),f324(f75(a1),x121331)))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699])). % 194.56/194.36 cnf(12134,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x121341),x121341))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(12145,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x121451),x121451))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(12147,plain, % 194.56/194.36 (~P1(f324(f324(f172(x121471),f324(f136(x121471,x121472),f115(x121471))),x121473))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,4155,3826,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747])). % 194.56/194.36 cnf(12148,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x121481,a916)),f324(f172(x121481),f324(f136(x121481,x121482),x121483))),f324(f172(x121481),x121483)))), % 194.56/194.36 inference(rename_variables,[],[4106])). % 194.56/194.36 cnf(12155,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x121551),f324(a114,x121551)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(12158,plain, % 194.56/194.36 (P1(f324(f324(f326(f928(x121581,a916)),x121582),f324(f305(x121581),x121582)))), % 194.56/194.36 inference(rename_variables,[],[3826])). % 194.56/194.36 cnf(12159,plain, % 194.56/194.36 (~E(f324(a114,x121591),x121591)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12164,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x121641),x121641))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(12168,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),f324(a106,f2(a1))),f324(a106,f77(a1))))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,4155,3826,11830,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803])). % 194.56/194.36 cnf(12169,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x121691),x121691))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(12180,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x121801,a916)),x121802),f324(f324(f306(x121801),x121803),x121802)))), % 194.56/194.36 inference(rename_variables,[],[3908])). % 194.56/194.36 cnf(12183,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x121831),x121831))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12184,plain, % 194.56/194.36 (~E(f324(a114,x121841),x121841)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12197,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x121971),x121971))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12198,plain, % 194.56/194.36 (~E(f324(a114,x121981),x121981)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12201,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x122011),x122011))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12204,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x122041),x122041))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12206,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),f324(f324(f103(a920),x122061),x122062)),x122062))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3920,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,4155,3826,11830,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937])). % 194.56/194.36 cnf(12207,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x122071),x122071))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12210,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x122101),x122101))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12213,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x122131),x122131))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(12216,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122161),x122161))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12219,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122191),x122191))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12220,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x122201),f324(a114,x122201)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(12227,plain, % 194.56/194.36 (~E(f324(a114,x122271),x122271)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12232,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122321),x122321))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12233,plain, % 194.56/194.36 (~E(f324(a114,x122331),x122331)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12236,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x122361),x122361))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(12238,plain, % 194.56/194.36 (~P1(f324(f324(f234(a920),f324(a106,f77(a1))),f324(a106,f2(a1))))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,4155,3826,11830,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,3483,10910,11060,11130,11914,3942,4280,4674,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011])). % 194.56/194.36 cnf(12249,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x122491),x122491))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12250,plain, % 194.56/194.36 (~P1(f324(f324(f172(x122501),f115(x122501)),x122502))), % 194.56/194.36 inference(rename_variables,[],[4676])). % 194.56/194.36 cnf(12257,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x122571),x122571))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(12262,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),f2(a920)),x122621))), % 194.56/194.36 inference(rename_variables,[],[3483])). % 194.56/194.36 cnf(12276,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122761),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(12279,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122791),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(12282,plain, % 194.56/194.36 (~P1(f324(f324(f326(x122821),x122822),f189(f928(x122821,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12285,plain, % 194.56/194.36 (~P1(f324(f324(f326(x122851),x122852),f189(f928(x122851,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12288,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122881),x122881))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12290,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122901),f324(f324(f103(a920),x122901),x122902)))), % 194.56/194.36 inference(scs_inference,[],[3507,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,3913,11882,3447,3543,11708,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,4155,3826,11830,4189,3843,11252,11333,11412,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,3483,10910,11060,11130,11914,12062,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,51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% 194.56/194.36 cnf(12291,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122911),x122911))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12294,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122941),x122941))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12297,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x122971),x122971))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12300,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x123001),f324(a114,x123001)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(12307,plain, % 194.56/194.36 (P1(f324(f324(f326(f928(x123071,a916)),x123072),f324(f305(x123071),x123072)))), % 194.56/194.36 inference(rename_variables,[],[3826])). % 194.56/194.36 cnf(12312,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x123121,a916)),x123122),f324(f324(f306(x123121),x123123),x123122)))), % 194.56/194.36 inference(rename_variables,[],[3908])). % 194.56/194.36 cnf(12319,plain, % 194.56/194.36 (~P1(f324(f324(f326(x123191),x123192),f189(f928(x123191,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12328,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x123281,a916)),x123282),f242(f928(x123281,a916))))), % 194.56/194.36 inference(rename_variables,[],[3843])). % 194.56/194.36 cnf(12329,plain, % 194.56/194.36 (~E(f324(a114,x123291),x123291)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12332,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x123321,a916)),x123322),f242(f928(x123321,a916))))), % 194.56/194.36 inference(rename_variables,[],[3843])). % 194.56/194.36 cnf(12335,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x123351,a916)),f324(f172(x123351),f324(f136(x123351,x123352),x123353))),f324(f172(x123351),x123353)))), % 194.56/194.36 inference(rename_variables,[],[4106])). % 194.56/194.36 cnf(12341,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x123411),f324(a114,x123411)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(12350,plain, % 194.56/194.36 (P40(a25,x123501,x123502,x123501)), % 194.56/194.36 inference(rename_variables,[],[3676])). % 194.56/194.36 cnf(12352,plain, % 194.56/194.36 (~P1(f324(f324(f326(f927(x123521,x123521)),x123522),f153(x123521,f115(f928(x123521,a920)))))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,3700,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,12148,4155,3826,11830,12158,4189,3843,11252,11333,11412,11479,12328,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,3483,10910,11060,11130,11914,12062,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,3758,11308,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406])). % 194.56/194.36 cnf(12353,plain, % 194.56/194.36 (E(f324(f282(x123531,x123531),f263(x123531,x123532)),x123532)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12364,plain, % 194.56/194.36 (~P1(f324(f324(f234(a920),f324(a114,x123641)),x123641))), % 194.56/194.36 inference(rename_variables,[],[4677])). % 194.56/194.36 cnf(12365,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x123651),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(12368,plain, % 194.56/194.36 (P1(f324(f61(x123681),f189(f928(x123681,a916))))), % 194.56/194.36 inference(rename_variables,[],[3539])). % 194.56/194.36 cnf(12369,plain, % 194.56/194.36 (~P1(f324(f324(f326(x123691),x123692),f189(f928(x123691,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12372,plain, % 194.56/194.36 (P40(a25,x123721,x123722,x123721)), % 194.56/194.36 inference(rename_variables,[],[3676])). % 194.56/194.36 cnf(12381,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x123811,a916)),f324(f172(x123811),f176(x123811,x123812,x123813))),f324(f172(x123811),x123812)))), % 194.56/194.36 inference(rename_variables,[],[4155])). % 194.56/194.36 cnf(12384,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x123841),x123841))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12387,plain, % 194.56/194.36 (P22(x123871,x123871,f7(x123871),x123872)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12395,plain, % 194.56/194.36 (P1(f324(f324(f326(f928(x123951,a916)),x123952),f324(f305(x123951),x123952)))), % 194.56/194.36 inference(rename_variables,[],[3826])). % 194.56/194.36 cnf(12404,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x124041),x124041))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12407,plain, % 194.56/194.36 (~P1(f324(f324(f326(x124071),x124072),f189(f928(x124071,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12410,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x124101,a916)),x124102),f324(f324(f306(x124101),x124103),x124102)))), % 194.56/194.36 inference(rename_variables,[],[3908])). % 194.56/194.36 cnf(12411,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x124111,a916)),x124112),f242(f928(x124111,a916))))), % 194.56/194.36 inference(rename_variables,[],[3843])). % 194.56/194.36 cnf(12418,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x124181),x124181))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12421,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x124211),x124211))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12424,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x124241),x124241))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12427,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x124271),x124271))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12430,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x124301),f324(a114,x124301)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(12433,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x124331),f324(a114,x124331)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(12435,plain, % 194.56/194.36 (P1(f324(f324(f234(a916),x124351),x124351))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,4133,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,12004,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,12148,4155,11255,3826,11830,12158,12307,4189,3843,11252,11333,11412,11479,12328,12332,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,3483,10910,11060,11130,11914,12062,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,12312,3758,11308,11433,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770])). % 194.56/194.36 cnf(12436,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x124361,a916)),x124362),x124362))), % 194.56/194.36 inference(rename_variables,[],[3758])). % 194.56/194.36 cnf(12443,plain, % 194.56/194.36 (P1(f324(f324(f326(f928(x124431,a916)),x124432),f324(f305(x124431),x124432)))), % 194.56/194.36 inference(rename_variables,[],[3826])). % 194.56/194.36 cnf(12449,plain, % 194.56/194.36 (~P1(f324(f324(f235(a1),f324(f324(f79(a1),a82),a82)),f2(a1)))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,4645,4646,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,4133,3306,3307,3932,3520,11057,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,12004,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,12148,4155,11255,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,3483,10910,11060,11130,11914,12062,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,12312,3758,11308,11433,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938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% 194.56/194.36 cnf(12452,plain, % 194.56/194.36 (~E(f324(a114,x124521),x124521)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12453,plain, % 194.56/194.36 (E(f324(f307(x124531,x124531,f7(x124531)),x124532),x124532)), % 194.56/194.36 inference(rename_variables,[],[3520])). % 194.56/194.36 cnf(12456,plain, % 194.56/194.36 (P30(x124561,x124562,f115(x124561),f115(x124561))), % 194.56/194.36 inference(rename_variables,[],[3708])). % 194.56/194.36 cnf(12459,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x124591,a916)),f324(f172(x124591),f176(x124591,x124592,x124593))),f324(f172(x124591),x124592)))), % 194.56/194.36 inference(rename_variables,[],[4155])). % 194.56/194.36 cnf(12460,plain, % 194.56/194.36 (P1(f324(f61(x124601),f324(f172(x124601),x124602)))), % 194.56/194.36 inference(rename_variables,[],[3502])). % 194.56/194.36 cnf(12470,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),f324(f256(x124701,x124702),f324(f324(f252(x124701,x124702),a931),x124703))),x124703))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,3708,4645,4646,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,4133,3306,3307,3932,3520,11057,11179,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3825,4510,4511,4632,3761,3977,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,12004,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4106,11054,12148,4155,11255,12381,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,3616,10758,10846,11110,11154,11383,11386,11468,11547,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,3483,10910,11060,11130,11914,12062,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,12312,3758,11308,11433,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,4335,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909])). % 194.56/194.36 cnf(12471,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x124711),x124711))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12474,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x124741),x124741))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12479,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),f2(a920)),x124791))), % 194.56/194.36 inference(rename_variables,[],[3483])). % 194.56/194.36 cnf(12486,plain, % 194.56/194.36 (P10(a920,f324(f168(a920),f324(f324(f154(f921(x124861),a920),f190(f921(x124861))),f179(x124861,x124862))))), % 194.56/194.36 inference(rename_variables,[],[4023])). % 194.56/194.36 cnf(12489,plain, % 194.56/194.36 (P22(x124891,x124891,f7(x124891),x124892)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12492,plain, % 194.56/194.36 (P22(x124921,x124921,f7(x124921),x124922)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12495,plain, % 194.56/194.36 (P1(f324(f324(f326(f921(x124951)),f115(x124951)),f161(x124951,x124952)))), % 194.56/194.36 inference(rename_variables,[],[3658])). % 194.56/194.36 cnf(12498,plain, % 194.56/194.36 (~P1(f324(f324(f189(f928(x124981,f928(x124982,a916))),x124983),x124984))), % 194.56/194.36 inference(rename_variables,[],[4694])). % 194.56/194.36 cnf(12503,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x125031),x125031))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12504,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),f2(a920)),x125041))), % 194.56/194.36 inference(rename_variables,[],[3483])). % 194.56/194.36 cnf(12507,plain, % 194.56/194.36 (~P1(f324(f324(f189(f928(x125071,f928(x125072,a916))),x125073),x125074))), % 194.56/194.36 inference(rename_variables,[],[4694])). % 194.56/194.36 cnf(12510,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(f927(f921(x125101),f921(x125101)),a916)),f158(x125101,x125102)),f304(f921(x125101),f157(x125101,x125102))))), % 194.56/194.36 inference(rename_variables,[],[4160])). % 194.56/194.36 cnf(12516,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125161,a916)),f324(f307(x125162,x125161,x125163),f324(f308(x125162,x125161,x125163),x125164))),x125164))), % 194.56/194.36 inference(rename_variables,[],[4335])). % 194.56/194.36 cnf(12519,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125191,a916)),f324(f172(x125191),f176(x125191,x125192,x125193))),f324(f172(x125191),x125192)))), % 194.56/194.36 inference(rename_variables,[],[4155])). % 194.56/194.36 cnf(12520,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125201,a916)),f324(f172(x125201),f324(f136(x125201,x125202),x125203))),f324(f172(x125201),x125203)))), % 194.56/194.36 inference(rename_variables,[],[4106])). % 194.56/194.36 cnf(12522,plain, % 194.56/194.36 (~P1(f324(f324(f234(f928(x125221,a916)),f242(f928(x125221,a916))),f189(f928(x125221,a916))))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,12387,12489,3708,4645,4646,3333,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,4133,3306,3307,3932,3340,3520,11057,11179,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,3825,4510,4511,4632,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,12004,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4160,12510,4106,11054,12148,12335,4155,11255,12381,12459,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,12312,3758,11308,11433,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,4335,11047,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198])). % 194.56/194.36 cnf(12523,plain, % 194.56/194.36 (~P1(f324(f324(f235(f928(x125231,a916)),x125232),f189(f928(x125231,a916))))), % 194.56/194.36 inference(rename_variables,[],[4688])). % 194.56/194.36 cnf(12531,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125311,a916)),f324(f307(x125312,x125311,x125313),f324(f308(x125312,x125311,x125313),x125314))),x125314))), % 194.56/194.36 inference(rename_variables,[],[4335])). % 194.56/194.36 cnf(12535,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(f921(a920),f921(a920))),f324(f324(f252(f921(a920),f921(a920)),f115(a920)),f116(a920,f115(a920)))),f263(f921(a920),f161(a920,x125351))))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,12387,12489,3708,3717,3434,4645,4646,3330,3333,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,4133,3306,3307,3932,3340,3520,11057,11179,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,3825,4510,4511,4632,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,12004,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4160,12510,4106,11054,12148,12335,4155,11255,12381,12459,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,12312,3758,11308,11433,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,4335,11047,12516,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,947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% 194.56/194.36 cnf(12536,plain, % 194.56/194.36 (P1(f324(f324(f326(f921(x125361)),f115(x125361)),f161(x125361,x125362)))), % 194.56/194.36 inference(rename_variables,[],[3658])). % 194.56/194.36 cnf(12537,plain, % 194.56/194.36 (~P1(f324(f324(f326(x125371),x125372),x125373))+P1(f324(f324(f326(f927(x125371,x125371)),f324(f324(f252(x125371,x125371),x125372),x125374)),f263(x125371,x125373)))+~E(x125372,x125374)), % 194.56/194.36 inference(rename_variables,[],[8291])). % 194.56/194.36 cnf(12539,plain, % 194.56/194.36 (~P1(f324(f324(f326(f927(f921(x125391),f921(x125391))),f324(f324(f252(f921(x125391),f921(x125391)),x125392),f115(x125391))),f145(x125391,x125393)))), % 194.56/194.36 inference(rename_variables,[],[4696])). % 194.56/194.36 cnf(12542,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x125421),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(12544,plain, % 194.56/194.36 (~P1(f324(f61(x125441),f242(f928(x125441,a916))))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,12387,12489,3708,3717,3434,4645,4646,3330,3333,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,4133,3306,3307,3932,3340,3520,11057,11179,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,3825,4510,4511,4632,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,12004,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4160,12510,4106,11054,12148,12335,4155,11255,12381,12459,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,12312,3758,11308,11433,12436,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,4335,11047,12516,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9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% 194.56/194.36 cnf(12545,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125451,a916)),x125452),x125452))), % 194.56/194.36 inference(rename_variables,[],[3758])). % 194.56/194.36 cnf(12548,plain, % 194.56/194.36 (~P1(f324(f324(f326(x125481),x125482),f189(f928(x125481,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12551,plain, % 194.56/194.36 (~P1(f324(f324(f189(f928(x125511,f928(x125512,a916))),x125513),x125514))), % 194.56/194.36 inference(rename_variables,[],[4694])). % 194.56/194.36 cnf(12554,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125541,a916)),f324(f307(x125542,x125541,x125543),f324(f308(x125542,x125541,x125543),x125544))),x125544))), % 194.56/194.36 inference(rename_variables,[],[4335])). % 194.56/194.36 cnf(12555,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125551,a916)),x125552),x125552))), % 194.56/194.36 inference(rename_variables,[],[3758])). % 194.56/194.36 cnf(12560,plain, % 194.56/194.36 (E(f324(f282(x125601,x125601),f263(x125601,x125602)),x125602)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12563,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x125631,a916)),f324(f172(x125631),f176(x125631,x125632,x125633))),f324(f172(x125631),x125632)))), % 194.56/194.36 inference(rename_variables,[],[4155])). % 194.56/194.36 cnf(12564,plain, % 194.56/194.36 (P1(f324(f61(x125641),f324(f172(x125641),x125642)))), % 194.56/194.36 inference(rename_variables,[],[3502])). % 194.56/194.36 cnf(12567,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x125671),x125671))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12570,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x125701),x125701))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12573,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x125731),x125731))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12577,plain, % 194.56/194.36 (~P1(f324(f324(f235(f928(a920,a916)),f300(a920,x125771,x125772)),f300(a920,f324(a114,x125773),x125773)))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,12387,12489,3708,3717,3434,4645,4646,3330,3333,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,3666,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3317,4133,3306,3307,3932,3340,3520,11057,11179,3394,4095,4635,10484,10648,11511,3454,11980,4678,11229,11328,11558,11561,3567,3358,3359,10557,10880,3620,3275,3380,11633,4239,4097,11249,11380,11442,4696,11157,11393,11505,11531,11566,11572,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,3825,4510,4511,4632,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3651,4685,4232,11528,3784,3502,12001,12004,12460,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,4201,4160,12510,4106,11054,12148,12335,4155,11255,12381,12459,12519,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,4064,11586,11937,3908,11170,11176,11192,12180,12312,3758,11308,11433,12436,12545,3910,10913,11271,11439,11473,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,12507,4335,11047,12516,12531,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553])). % 194.56/194.36 cnf(12584,plain, % 194.56/194.36 (P22(x125841,x125841,f7(x125841),x125842)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12592,plain, % 194.56/194.36 (~P1(f324(f324(f326(x125921),x125922),f189(f928(x125921,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12595,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(x125951,x125951)),f324(f324(f252(x125951,x125951),x125952),x125952)),f304(x125951,x125953)))), % 194.56/194.36 inference(rename_variables,[],[4097])). % 194.56/194.36 cnf(12598,plain, % 194.56/194.36 (~P1(f324(f324(f326(x125981),x125982),f189(f928(x125981,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12601,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(x126011,x126011)),f324(f324(f252(x126011,x126011),x126012),x126012)),f304(x126011,x126013)))), % 194.56/194.36 inference(rename_variables,[],[4097])). % 194.56/194.36 cnf(12607,plain, % 194.56/194.36 (E(f324(f324(f306(x126071),x126072),f324(f324(f306(x126071),x126072),x126073)),f324(f324(f306(x126071),x126072),x126073))), % 194.56/194.36 inference(rename_variables,[],[3609])). % 194.56/194.36 cnf(12608,plain, % 194.56/194.36 (~E(f324(f324(f306(x126081),x126082),x126083),f189(f928(x126081,a916)))), % 194.56/194.36 inference(rename_variables,[],[4656])). % 194.56/194.36 cnf(12611,plain, % 194.56/194.36 (~E(f324(f324(f151(x126111),x126112),x126113),x126113)), % 194.56/194.36 inference(rename_variables,[],[4635])). % 194.56/194.36 cnf(12618,plain, % 194.56/194.36 (P1(f324(f324(f326(x126181),x126182),f242(f928(x126181,a916))))), % 194.56/194.36 inference(rename_variables,[],[3616])). % 194.56/194.36 cnf(12619,plain, % 194.56/194.36 (~E(f324(a114,x126191),x126191)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12622,plain, % 194.56/194.36 (P1(f324(f324(f326(f921(x126221)),f115(x126221)),f161(x126221,x126222)))), % 194.56/194.36 inference(rename_variables,[],[3658])). % 194.56/194.36 cnf(12623,plain, % 194.56/194.36 (~E(f324(f324(f151(x126231),x126232),x126233),f115(x126231))), % 194.56/194.36 inference(rename_variables,[],[4642])). % 194.56/194.36 cnf(12626,plain, % 194.56/194.36 (P22(x126261,x126261,f7(x126261),x126262)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12629,plain, % 194.56/194.36 (P1(f324(f324(f326(x126291),f324(x126292,x126293)),f324(f307(x126294,x126291,x126292),f242(f928(x126294,a916)))))), % 194.56/194.36 inference(rename_variables,[],[4064])). % 194.56/194.36 cnf(12630,plain, % 194.56/194.36 (P22(x126301,x126301,f7(x126301),x126302)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12633,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126331,a916)),f189(f928(x126331,a916))),x126332))), % 194.56/194.36 inference(rename_variables,[],[3910])). % 194.56/194.36 cnf(12634,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126341,a916)),x126342),x126342))), % 194.56/194.36 inference(rename_variables,[],[3758])). % 194.56/194.36 cnf(12637,plain, % 194.56/194.36 (P1(f324(f324(f326(x126371),f324(x126372,x126373)),f324(f307(x126374,x126371,x126372),f242(f928(x126374,a916)))))), % 194.56/194.36 inference(rename_variables,[],[4064])). % 194.56/194.36 cnf(12638,plain, % 194.56/194.36 (P22(x126381,x126381,f7(x126381),x126382)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12641,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(f921(x126411),f921(x126411))),f324(f324(f252(f921(x126411),f921(x126411)),f115(x126411)),f115(x126411))),f158(x126411,x126412)))), % 194.56/194.36 inference(rename_variables,[],[4239])). % 194.56/194.36 cnf(12644,plain, % 194.56/194.36 (~P1(f324(f324(f172(x126441),f115(x126441)),x126442))), % 194.56/194.36 inference(rename_variables,[],[4676])). % 194.56/194.36 cnf(12645,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x126451),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(12651,plain, % 194.56/194.36 (E(f324(f324(f134(x126511),x126512),f115(x126511)),x126512)), % 194.56/194.36 inference(rename_variables,[],[3395])). % 194.56/194.36 cnf(12652,plain, % 194.56/194.36 (~E(f324(f324(f151(x126521),x126522),x126523),x126523)), % 194.56/194.36 inference(rename_variables,[],[4635])). % 194.56/194.36 cnf(12655,plain, % 194.56/194.36 (E(f324(f324(f134(x126551),x126552),f115(x126551)),x126552)), % 194.56/194.36 inference(rename_variables,[],[3395])). % 194.56/194.36 cnf(12656,plain, % 194.56/194.36 (~E(f324(f324(f151(x126561),x126562),x126563),x126563)), % 194.56/194.36 inference(rename_variables,[],[4635])). % 194.56/194.36 cnf(12659,plain, % 194.56/194.36 (E(f324(f324(f134(x126591),x126592),f115(x126591)),x126592)), % 194.56/194.36 inference(rename_variables,[],[3395])). % 194.56/194.36 cnf(12666,plain, % 194.56/194.36 (P52(x126661,f263(x126661,x126662))), % 194.56/194.36 inference(rename_variables,[],[3334])). % 194.56/194.36 cnf(12669,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126691,a916)),f324(f172(x126691),f324(f136(x126691,x126692),x126693))),f324(f172(x126691),x126693)))), % 194.56/194.36 inference(rename_variables,[],[4106])). % 194.56/194.36 cnf(12670,plain, % 194.56/194.36 (E(f324(f307(x126701,x126701,f7(x126701)),x126702),x126702)), % 194.56/194.36 inference(rename_variables,[],[3520])). % 194.56/194.36 cnf(12675,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126751,a916)),x126752),f242(f928(x126751,a916))))), % 194.56/194.36 inference(rename_variables,[],[3843])). % 194.56/194.36 cnf(12679,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x126791),x126791))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12680,plain, % 194.56/194.36 (~E(f324(a114,x126801),x126801)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12683,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126831,a916)),f189(f928(x126831,a916))),x126832))), % 194.56/194.36 inference(rename_variables,[],[3910])). % 194.56/194.36 cnf(12686,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x126861),x126861))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12689,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126891,a916)),x126892),x126892))), % 194.56/194.36 inference(rename_variables,[],[3758])). % 194.56/194.36 cnf(12694,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126941,a916)),x126942),f324(f324(f306(x126941),x126943),x126942)))), % 194.56/194.36 inference(rename_variables,[],[3908])). % 194.56/194.36 cnf(12697,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x126971,a916)),x126972),x126972))), % 194.56/194.36 inference(rename_variables,[],[3758])). % 194.56/194.36 cnf(12698,plain, % 194.56/194.36 (~P1(f324(f324(f326(x126981),x126982),f189(f928(x126981,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12701,plain, % 194.56/194.36 (~P1(f324(f324(f326(x127011),x127012),f189(f928(x127011,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12709,plain, % 194.56/194.36 (~P1(f324(f324(f234(f928(f927(x127091,x127091),a916)),f324(f307(f927(x127091,x127091),f927(x127091,x127091),f7(f927(x127091,x127091))),f242(f928(f927(x127091,x127091),a916)))),f324(f307(f927(x127091,x127091),f927(x127091,x127091),f7(f927(x127091,x127091))),f189(f928(f927(x127091,x127091),a916)))))), % 194.56/194.36 inference(scs_inference,[],[3507,3676,12350,3700,11323,12387,12489,12492,12584,12626,12630,12638,3708,3717,3434,4645,4646,3330,3333,3334,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,3519,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,3395,12651,12655,3401,3410,3920,4225,3298,3660,4013,11643,3361,3294,3321,3779,3317,4133,3306,3307,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,4642,12623,3454,11980,4678,11229,11328,11558,11561,3567,4656,3358,3359,10557,10880,3620,3275,3380,11633,4239,12641,4097,11249,11380,11442,12595,12601,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,4632,11626,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3851,3651,4685,4232,11528,3784,3502,12001,12004,12460,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,3524,10877,10907,10916,10919,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,3908,11170,11176,11192,12180,12312,12410,3758,11308,11433,12436,12545,12555,12634,12689,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,12507,4335,11047,12516,12531,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,867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% 194.56/194.36 cnf(12710,plain, % 194.56/194.36 (P22(x127101,x127101,f7(x127101),x127102)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12713,plain, % 194.56/194.36 (E(f324(f190(f921(x127131)),f169(x127131,x127132,x127133)),x127132)), % 194.56/194.36 inference(rename_variables,[],[3530])). % 194.56/194.36 cnf(12716,plain, % 194.56/194.36 (P23(x127161,x127161,f31(x127161),x127162,x127162)), % 194.56/194.36 inference(rename_variables,[],[4121])). % 194.56/194.36 cnf(12719,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x127191),x127191))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12720,plain, % 194.56/194.36 (P1(f324(f242(f928(x127201,a916)),x127202))), % 194.56/194.36 inference(rename_variables,[],[3524])). % 194.56/194.36 cnf(12723,plain, % 194.56/194.36 (~P1(f324(f324(f326(x127231),x127232),f189(f928(x127231,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12726,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x127261,a916)),x127262),f324(f324(f306(x127261),x127263),x127262)))), % 194.56/194.36 inference(rename_variables,[],[3908])). % 194.56/194.36 cnf(12729,plain, % 194.56/194.36 (P1(f324(f324(f326(x127291),f324(x127292,x127293)),f324(f307(x127294,x127291,x127292),f242(f928(x127294,a916)))))), % 194.56/194.36 inference(rename_variables,[],[4064])). % 194.56/194.36 cnf(12730,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(x127301,x127301)),f324(f324(f252(x127301,x127301),x127302),x127302)),f304(x127301,x127303)))), % 194.56/194.36 inference(rename_variables,[],[4097])). % 194.56/194.36 cnf(12733,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(x127331,x127331)),f324(f324(f252(x127331,x127331),x127332),x127332)),f304(x127331,x127333)))), % 194.56/194.36 inference(rename_variables,[],[4097])). % 194.56/194.36 cnf(12736,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x127361),x127361))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(12737,plain, % 194.56/194.36 (P1(f324(f242(f928(x127371,a916)),x127372))), % 194.56/194.36 inference(rename_variables,[],[3524])). % 194.56/194.36 cnf(12740,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x127401,a916)),x127402),f242(f928(x127401,a916))))), % 194.56/194.36 inference(rename_variables,[],[3843])). % 194.56/194.36 cnf(12741,plain, % 194.56/194.36 (P23(x127411,x127411,f31(x127411),x127412,x127412)), % 194.56/194.36 inference(rename_variables,[],[4121])). % 194.56/194.36 cnf(12744,plain, % 194.56/194.36 (P1(f324(f61(x127441),f324(f172(x127441),x127442)))), % 194.56/194.36 inference(rename_variables,[],[3502])). % 194.56/194.36 cnf(12746,plain, % 194.56/194.36 (E(f324(f324(f134(x127461),f709(x127462,x127463,f115(x127461),f324(f324(f151(x127461),x127463),x127462),x127461)),f115(x127461)),x127462)), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,3676,12350,3700,11323,12387,12489,12492,12584,12626,12630,12638,3708,3717,3434,4645,4646,3330,3333,3334,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,3519,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,3395,12651,12655,12659,3401,3410,3920,4225,3530,3298,3660,4013,11643,3361,3294,3321,3779,3317,4133,3306,3307,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,4642,12623,3454,11980,4678,11229,11328,11558,11561,3567,4656,3358,3359,10557,10880,3620,3275,3380,11633,4239,12641,4097,11249,11380,11442,12595,12601,12730,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,4632,11626,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3851,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,3524,10877,10907,10916,10919,11497,12720,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,12507,4335,11047,12516,12531,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591])). % 194.56/194.36 cnf(12751,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(x127511,x127511)),f324(f324(f252(x127511,x127511),x127512),x127512)),f324(f324(f286(x127511,x127511,x127511),f304(x127511,x127513)),f304(x127511,f304(x127511,x127513)))))), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,3676,12350,3700,11323,12387,12489,12492,12584,12626,12630,12638,3708,3717,3434,4645,4646,3330,3333,3334,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,3519,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,3395,12651,12655,12659,3401,3410,3920,4225,3530,3298,3660,4013,11643,3361,3294,3321,3779,3317,4133,3306,3307,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,4642,12623,3454,11980,4678,11229,11328,11558,11561,3567,4656,3358,3359,10557,10880,3620,3275,3380,11633,4239,12641,4097,11249,11380,11442,12595,12601,12730,12733,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,4632,11626,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3851,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,3524,10877,10907,10916,10919,11497,12720,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,12507,4335,11047,12516,12531,4243,3941,3886,4691,10506,10509,10871,10874,11748,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641])). % 194.56/194.36 cnf(12754,plain, % 194.56/194.36 (~P1(f324(f324(f189(f928(x127541,f928(x127542,a916))),x127543),x127544))), % 194.56/194.36 inference(rename_variables,[],[4694])). % 194.56/194.36 cnf(12757,plain, % 194.56/194.36 (~P1(f324(f324(f189(f928(x127571,f928(x127572,a916))),x127573),x127574))), % 194.56/194.36 inference(rename_variables,[],[4694])). % 194.56/194.36 cnf(12760,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x127601,a916)),x127602),f242(f928(x127601,a916))))), % 194.56/194.36 inference(rename_variables,[],[3843])). % 194.56/194.36 cnf(12763,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(x127631,x127631)),f324(f324(f252(x127631,x127631),x127632),x127632)),f304(x127631,x127633)))), % 194.56/194.36 inference(rename_variables,[],[4097])). % 194.56/194.36 cnf(12766,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),f324(f324(f79(a920),x127661),x127662)),x127662))), % 194.56/194.36 inference(rename_variables,[],[4691])). % 194.56/194.36 cnf(12767,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x127671),f324(a114,x127671)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(12770,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x127701,a916)),x127702),f242(f928(x127701,a916))))), % 194.56/194.36 inference(rename_variables,[],[3843])). % 194.56/194.36 cnf(12773,plain, % 194.56/194.36 (E(f324(f282(x127731,x127731),f263(x127731,x127732)),x127732)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12783,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x127831),f324(f190(f921(x127832)),f115(x127832))))), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,3676,12350,3700,11323,12387,12489,12492,12584,12626,12630,12638,3708,3717,3434,4645,4646,3330,3333,3334,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,3519,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,3798,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,3395,12651,12655,12659,3401,3410,3920,4225,3530,3298,3660,4013,11643,3361,3294,3321,3779,3317,4133,3306,3307,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,4642,12623,3454,11980,4678,11229,11328,11558,11561,3567,4656,3358,3359,10557,10880,3620,3275,3380,11633,4239,12641,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,4632,11626,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3851,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,3524,10877,10907,10916,10919,11497,12720,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,12507,12551,12754,4335,11047,12516,12531,4243,3941,3886,4691,10506,10509,10871,10874,11748,11942,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,82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% 194.56/194.36 cnf(12784,plain, % 194.56/194.36 (~P1(f324(f324(f326(x127841),x127842),f189(f928(x127841,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12785,plain, % 194.56/194.36 (P1(f324(f324(f326(f927(f921(x127851),f921(x127851))),f324(f324(f252(f921(x127851),f921(x127851)),f115(x127851)),f115(x127851))),f158(x127851,x127852)))), % 194.56/194.36 inference(rename_variables,[],[4239])). % 194.56/194.36 cnf(12790,plain, % 194.56/194.36 (~P1(f324(f324(f326(x127901),x127902),f189(f928(x127901,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12795,plain, % 194.56/194.36 (P29(x127951,x127952,f115(x127951))), % 194.56/194.36 inference(rename_variables,[],[3400])). % 194.56/194.36 cnf(12798,plain, % 194.56/194.36 (E(f324(f190(f921(x127981)),f169(x127981,x127982,x127983)),x127982)), % 194.56/194.36 inference(rename_variables,[],[3530])). % 194.56/194.36 cnf(12801,plain, % 194.56/194.36 (~P1(f324(f324(f326(x128011),x128012),f189(f928(x128011,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12805,plain, % 194.56/194.36 (~P1(f324(f324(f326(f927(f921(x128051),f921(x128051))),f324(f324(f252(f921(x128051),f921(x128051)),x128052),x128052)),f147(x128051,f153(x128051,f115(f928(x128051,a920))))))), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,3676,12350,3700,11323,12387,12489,12492,12584,12626,12630,12638,3708,3717,3434,3400,4645,4646,3330,3333,3334,4644,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,3519,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3230,3234,3236,3244,3353,3354,3355,3257,4613,3798,4027,11896,3308,11597,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,3395,12651,12655,12659,3401,3410,3920,4225,3530,12713,3298,3660,4013,11643,3361,3294,3321,3779,3317,4133,3306,3307,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,4642,12623,3454,11980,4678,11229,11328,11558,11561,3567,4656,3358,3359,10557,10880,3620,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,4632,11626,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,4684,11751,11782,11819,11826,11862,3900,3667,4046,3489,3491,3465,4668,4629,3851,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,3524,10877,10907,10916,10919,11497,12720,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,4280,4674,3953,3989,4659,4662,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,4693,11879,4694,10670,10785,11415,12498,12507,12551,12754,4335,11047,12516,12531,4243,3941,3886,4691,10506,10509,10871,10874,11748,11942,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8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% 194.56/194.36 cnf(12807,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x128071),x128071))), % 194.56/194.36 inference(rename_variables,[],[4667])). % 194.56/194.36 cnf(12810,plain, % 194.56/194.36 (P1(f324(f324(f326(x128101),x128102),f242(f928(x128101,a916))))), % 194.56/194.36 inference(rename_variables,[],[3616])). % 194.56/194.36 cnf(12811,plain, % 194.56/194.36 (E(f324(f190(f921(x128111)),f169(x128111,x128112,x128113)),x128112)), % 194.56/194.36 inference(rename_variables,[],[3530])). % 194.56/194.36 cnf(12814,plain, % 194.56/194.36 (~P1(f324(f324(f189(f928(x128141,f928(x128142,a916))),x128143),x128144))), % 194.56/194.36 inference(rename_variables,[],[4694])). % 194.56/194.36 cnf(12815,plain, % 194.56/194.36 (P11(x128151,x128152,f324(f324(f306(f919(x128151)),f324(f324(f324(f90(x128151),f324(f324(f9(x128151,f928(a918,a916),f928(a918,a916)),f324(f324(f10(f928(a918,f928(a916,a916)),f928(f928(a918,a916),f928(a918,a916)),x128151),f20(a918,a916,a916)),f324(f324(f10(f928(a918,a916),f928(a918,f928(a916,a916)),x128151),f324(f10(a916,f928(a916,a916),a918),a322)),x128153))),f324(f324(f10(a916,a916,a918),a319),x128154))),f29(x128154,x128155)),x128153)),f189(f928(f919(x128151),a916))))), % 194.56/194.36 inference(rename_variables,[],[4598])). % 194.56/194.36 cnf(12818,plain, % 194.56/194.36 (P1(f324(f324(f234(f928(x128181,a916)),x128182),x128182))), % 194.56/194.36 inference(rename_variables,[],[3758])). % 194.56/194.36 cnf(12821,plain, % 194.56/194.36 (~P1(f324(f324(f326(x128211),x128212),f189(f928(x128211,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(12824,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),f2(a1)),f324(f324(f244(a1),f324(f75(a1),x128241)),x128242)))), % 194.56/194.36 inference(rename_variables,[],[3941])). % 194.56/194.36 cnf(12827,plain, % 194.56/194.36 (~E(f324(a114,x128271),x128271)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(12829,plain, % 194.56/194.36 (E(f324(f282(x128291,x128291),f263(x128291,x128292)),x128292)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12831,plain, % 194.56/194.36 (E(f324(f282(x128311,x128311),f263(x128311,x128312)),x128312)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12839,plain, % 194.56/194.36 (E(f324(f282(x128391,x128391),f263(x128391,x128392)),x128392)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12841,plain, % 194.56/194.36 (P22(x128411,x128411,f7(x128411),x128412)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12843,plain, % 194.56/194.36 (P22(x128431,x128431,f7(x128431),x128432)), % 194.56/194.36 inference(rename_variables,[],[3700])). % 194.56/194.36 cnf(12846,plain, % 194.56/194.36 (E(f324(f324(x128461,x128462),f324(f184(x128463,x128464,x128461),x128462)),f324(f184(x128463,x128464,x128461),f324(a114,x128462)))), % 194.56/194.36 inference(rename_variables,[],[3860])). % 194.56/194.36 cnf(12850,plain, % 194.56/194.36 (E(f324(f282(x128501,x128501),f263(x128501,x128502)),x128502)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12852,plain, % 194.56/194.36 (P40(a25,x128521,x128522,x128521)), % 194.56/194.36 inference(rename_variables,[],[3676])). % 194.56/194.36 cnf(12854,plain, % 194.56/194.36 (P40(a25,x128541,x128542,x128541)), % 194.56/194.36 inference(rename_variables,[],[3676])). % 194.56/194.36 cnf(12856,plain, % 194.56/194.36 (E(f324(f282(x128561,x128561),f263(x128561,x128562)),x128562)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12858,plain, % 194.56/194.36 (P36(x128581,f263(x128581,x128582))), % 194.56/194.36 inference(rename_variables,[],[3331])). % 194.56/194.36 cnf(12864,plain, % 194.56/194.36 (E(f324(f282(x128641,x128641),f263(x128641,x128642)),x128642)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12871,plain, % 194.56/194.36 (E(f189(f928(f927(x128711,x128711),a916)),f263(x128711,f189(f928(x128711,a916))))), % 194.56/194.36 inference(rename_variables,[],[3534])). % 194.56/194.36 cnf(12873,plain, % 194.56/194.36 (E(f324(f282(x128731,x128731),f263(x128731,x128732)),x128732)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12879,plain, % 194.56/194.36 (E(f324(f282(x128791,x128791),f263(x128791,x128792)),x128792)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12882,plain, % 194.56/194.36 (E(f324(f282(x128821,x128821),f263(x128821,x128822)),x128822)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12884,plain, % 194.56/194.36 (P35(x128841,f153(x128841,x128842))), % 194.56/194.36 inference(rename_variables,[],[3330])). % 194.56/194.36 cnf(12892,plain, % 194.56/194.36 (P23(x128921,x128921,f31(x128921),x128922,x128922)), % 194.56/194.36 inference(rename_variables,[],[4121])). % 194.56/194.36 cnf(12894,plain, % 194.56/194.36 (P23(x128941,x128941,f31(x128941),x128942,x128942)), % 194.56/194.36 inference(rename_variables,[],[4121])). % 194.56/194.36 cnf(12896,plain, % 194.56/194.36 (P23(x128961,x128961,f31(x128961),x128962,x128962)), % 194.56/194.36 inference(rename_variables,[],[4121])). % 194.56/194.36 cnf(12904,plain, % 194.56/194.36 (E(f324(f282(x129041,x129041),f263(x129041,x129042)),x129042)), % 194.56/194.36 inference(rename_variables,[],[3424])). % 194.56/194.36 cnf(12916,plain, % 194.56/194.36 (P53(x129161,x129162,f263(x129161,x129162))), % 194.56/194.36 inference(rename_variables,[],[3433])). % 194.56/194.36 cnf(12918,plain, % 194.56/194.36 (P53(x129181,x129182,f263(x129181,x129182))), % 194.56/194.36 inference(rename_variables,[],[3433])). % 194.56/194.36 cnf(12920,plain, % 194.56/194.36 (P53(x129201,x129202,f263(x129201,x129202))), % 194.56/194.36 inference(rename_variables,[],[3433])). % 194.56/194.36 cnf(12922,plain, % 194.56/194.36 (P52(x129221,f263(x129221,x129222))), % 194.56/194.36 inference(rename_variables,[],[3334])). % 194.56/194.36 cnf(12927,plain, % 194.56/194.36 (P56(x129271,f189(f928(x129271,a916)),x129272)), % 194.56/194.36 inference(rename_variables,[],[3481])). % 194.56/194.36 cnf(12931,plain, % 194.56/194.36 (P42(x129311,x129312,x129313,x129314,f189(f928(x129311,a916)),x129314)), % 194.56/194.36 inference(rename_variables,[],[4396])). % 194.56/194.36 cnf(12938,plain, % 194.56/194.36 (P55(x129381,x129381,f263(x129381,x129382))), % 194.56/194.36 inference(rename_variables,[],[3434])). % 194.56/194.36 cnf(12948,plain, % 194.56/194.36 (P30(x129481,x129482,f115(x129481),f115(x129481))), % 194.56/194.36 inference(rename_variables,[],[3708])). % 194.56/194.36 cnf(12950,plain, % 194.56/194.36 (P30(x129501,x129502,f115(x129501),f115(x129501))), % 194.56/194.36 inference(rename_variables,[],[3708])). % 194.56/194.36 cnf(12956,plain, % 194.56/194.36 (P12(x129561,f928(x129561,a916),f306(x129561))), % 194.56/194.36 inference(rename_variables,[],[3437])). % 194.56/194.36 cnf(12978,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x129781),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(12987,plain, % 194.56/194.36 (~P1(f324(f324(f235(a1),f324(f102(a1),x129871)),f324(f78(a1),f324(f102(a1),x129872))))), % 194.56/194.36 inference(rename_variables,[],[4689])). % 194.56/194.36 cnf(12997,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x129971),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(13000,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x130001),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(13003,plain, % 194.56/194.36 (P1(f324(f61(a920),f302(a920,x130031,x130032)))), % 194.56/194.36 inference(rename_variables,[],[3669])). % 194.56/194.36 cnf(13006,plain, % 194.56/194.36 (P1(f324(f61(a920),f302(a920,x130061,x130062)))), % 194.56/194.36 inference(rename_variables,[],[3669])). % 194.56/194.36 cnf(13009,plain, % 194.56/194.36 (P1(f324(f61(a920),f302(a920,x130091,x130092)))), % 194.56/194.36 inference(rename_variables,[],[3669])). % 194.56/194.36 cnf(13012,plain, % 194.56/194.36 (P1(f324(f61(a920),f302(a920,x130121,x130122)))), % 194.56/194.36 inference(rename_variables,[],[3669])). % 194.56/194.36 cnf(13019,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),f324(f78(a1),f324(f102(a1),x130191))),f324(f102(a1),x130192)))), % 194.56/194.36 inference(rename_variables,[],[3942])). % 194.56/194.36 cnf(13021,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),f2(a1)),f324(f105(a1),f2(a1))))), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3106,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3222,3230,3234,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,3395,12651,12655,12659,3401,3410,3920,4225,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,4684,11751,11782,11819,11826,11862,3900,3667,3669,13003,13006,13009,4046,3489,3491,3465,4668,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,3524,10877,10907,10916,10919,11497,12720,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,12007,4280,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,3886,3887,4691,10506,10509,10871,10874,11748,11942,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158])). % 194.56/194.36 cnf(13024,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x130241),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(13025,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x130251),x130251))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(13032,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x130321),f324(a114,x130321)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(13034,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),f2(a1)),a82))), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3106,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3222,3230,3234,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,3395,12651,12655,12659,3401,3410,3920,4225,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,4684,11751,11782,11819,11826,11862,3900,3667,3669,13003,13006,13009,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,3524,10877,10907,10916,10919,11497,12720,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,12007,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,3886,3887,4691,10506,10509,10871,10874,11748,11942,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265])). % 194.56/194.36 cnf(13036,plain, % 194.56/194.36 (~P1(f324(f324(f235(a1),f2(a1)),f324(f105(a1),f2(a1))))), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3106,3109,3110,3113,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3222,3230,3234,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,3395,12651,12655,12659,3401,3410,3920,4225,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,4684,11751,11782,11819,11826,11862,3900,3667,3669,13003,13006,13009,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,3524,10877,10907,10916,10919,11497,12720,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,12007,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,3886,3887,4691,10506,10509,10871,10874,11748,11942,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414])). % 194.56/194.36 cnf(13039,plain, % 194.56/194.36 (P1(f324(f324(f234(a1),x130391),x130391))), % 194.56/194.36 inference(rename_variables,[],[3464])). % 194.56/194.36 cnf(13042,plain, % 194.56/194.36 (P1(f324(f61(a920),f302(a920,x130421,x130422)))), % 194.56/194.36 inference(rename_variables,[],[3669])). % 194.56/194.36 cnf(13045,plain, % 194.56/194.36 (P1(f324(f61(a920),f302(a920,x130451,x130452)))), % 194.56/194.36 inference(rename_variables,[],[3669])). % 194.56/194.36 cnf(13048,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x130481),x130481))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(13049,plain, % 194.56/194.36 (~E(f324(a114,x130491),f2(a920))), % 194.56/194.36 inference(rename_variables,[],[4625])). % 194.56/194.36 cnf(13066,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),f45(a920,x130661,x130662)),x130661))), % 194.56/194.36 inference(rename_variables,[],[3918])). % 194.56/194.36 cnf(13071,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x130711),f324(a114,x130711)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(13074,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x130741),f324(a114,x130741)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(13075,plain, % 194.56/194.36 (~P1(f324(f324(f235(a920),x130751),f2(a920)))), % 194.56/194.36 inference(rename_variables,[],[4671])). % 194.56/194.36 cnf(13084,plain, % 194.56/194.36 (~P1(f324(f324(f235(a1),f324(f102(a1),x130841)),f2(a1)))), % 194.56/194.36 inference(rename_variables,[],[4684])). % 194.56/194.36 cnf(13085,plain, % 194.56/194.36 (P1(f324(f242(f928(x130851,a916)),x130852))), % 194.56/194.36 inference(rename_variables,[],[3524])). % 194.56/194.36 cnf(13088,plain, % 194.56/194.36 (~P1(f324(f324(f235(a1),f324(f102(a1),x130881)),f2(a1)))), % 194.56/194.36 inference(rename_variables,[],[4684])). % 194.56/194.36 cnf(13089,plain, % 194.56/194.36 (P1(f324(f242(f928(x130891,a916)),x130892))), % 194.56/194.36 inference(rename_variables,[],[3524])). % 194.56/194.36 cnf(13092,plain, % 194.56/194.36 (P1(f324(f242(f928(x130921,a916)),x130922))), % 194.56/194.36 inference(rename_variables,[],[3524])). % 194.56/194.36 cnf(13095,plain, % 194.56/194.36 (P1(f324(f242(f928(x130951,a916)),x130952))), % 194.56/194.36 inference(rename_variables,[],[3524])). % 194.56/194.36 cnf(13103,plain, % 194.56/194.36 (~P1(f324(f324(f326(x131031),x131032),f189(f928(x131031,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(13104,plain, % 194.56/194.36 (P1(f324(f61(x131041),f189(f928(x131041,a916))))), % 194.56/194.36 inference(rename_variables,[],[3539])). % 194.56/194.36 cnf(13106,plain, % 194.56/194.36 (~P1(f324(f324(f234(a1),f324(f105(a1),a82)),f324(f105(a1),a99)))), % 194.56/194.36 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3134,3140,3157,3158,3165,3168,3182,3214,3222,3230,3234,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,3395,12651,12655,12659,3401,3410,3920,4225,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,4023,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,4684,11751,11782,11819,11826,11862,13084,3900,3667,3669,13003,13006,13009,13012,13042,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,3539,12368,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,3563,3556,3981,3918,10536,11885,11913,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,3942,12007,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,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% 194.56/194.36 cnf(13113,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),f2(a920)),x131131))), % 194.56/194.36 inference(rename_variables,[],[3483])). % 194.56/194.36 cnf(13116,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x131161),f324(a114,x131161)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(13117,plain, % 194.56/194.36 (~E(f324(a114,x131171),x131171)), % 194.56/194.36 inference(rename_variables,[],[4615])). % 194.56/194.36 cnf(13120,plain, % 194.56/194.36 (~P1(f324(f324(f326(x131201),x131202),f189(f928(x131201,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(13123,plain, % 194.56/194.36 (~P1(f324(f324(f326(x131231),x131232),f189(f928(x131231,a916))))), % 194.56/194.36 inference(rename_variables,[],[4680])). % 194.56/194.36 cnf(13126,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x131261),x131261))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(13134,plain, % 194.56/194.36 (P1(f324(f324(f235(a920),x131341),f324(a114,x131341)))), % 194.56/194.36 inference(rename_variables,[],[3531])). % 194.56/194.36 cnf(13137,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x131371),x131371))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(13142,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x131421),x131421))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(13145,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x131451),x131451))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(13148,plain, % 194.56/194.36 (P1(f324(f324(f234(a920),x131481),x131481))), % 194.56/194.36 inference(rename_variables,[],[3463])). % 194.56/194.36 cnf(13151,plain, % 194.56/194.36 (E(f324(f324(f3(f928(x131511,a916)),f189(f928(x131511,a916))),x131512),f189(f928(x131511,a916)))), % 194.56/194.36 inference(rename_variables,[],[3728])). % 194.56/194.36 cnf(13152,plain, % 194.56/194.36 (P1(f324(f61(x131521),f189(f928(x131521,a916))))), % 194.56/194.36 inference(rename_variables,[],[3539])). % 194.56/194.36 cnf(13155,plain, % 194.56/194.36 (E(f324(f324(f3(f928(x131551,a916)),f189(f928(x131551,a916))),x131552),f189(f928(x131551,a916)))), % 194.56/194.36 inference(rename_variables,[],[3728])). % 194.56/194.36 cnf(13156,plain, % 194.56/194.36 (P1(f324(f61(x131561),f189(f928(x131561,a916))))), % 194.56/194.36 inference(rename_variables,[],[3539])). % 194.56/194.36 cnf(13159,plain, % 194.56/194.36 (E(f324(f324(f3(f928(x131591,a916)),f189(f928(x131591,a916))),x131592),f189(f928(x131591,a916)))), % 194.56/194.36 inference(rename_variables,[],[3728])). % 194.56/194.36 cnf(13160,plain, % 194.56/194.36 (P1(f324(f61(x131601),f189(f928(x131601,a916))))), % 194.56/194.37 inference(rename_variables,[],[3539])). % 194.56/194.37 cnf(13163,plain, % 194.56/194.37 (E(f324(f324(f3(f928(x131631,a916)),f189(f928(x131631,a916))),x131632),f189(f928(x131631,a916)))), % 194.56/194.37 inference(rename_variables,[],[3728])). % 194.56/194.37 cnf(13164,plain, % 194.56/194.37 (P1(f324(f61(x131641),f189(f928(x131641,a916))))), % 194.56/194.37 inference(rename_variables,[],[3539])). % 194.56/194.37 cnf(13168,plain, % 194.56/194.37 (E(f324(f282(x131681,x131681),f263(x131681,x131682)),x131682)), % 194.56/194.37 inference(rename_variables,[],[3424])). % 194.56/194.37 cnf(13173,plain, % 194.56/194.37 (E(f324(f324(f3(f928(x131731,a916)),f189(f928(x131731,a916))),x131732),f189(f928(x131731,a916)))), % 194.56/194.37 inference(rename_variables,[],[3728])). % 194.56/194.37 cnf(13174,plain, % 194.56/194.37 (P1(f324(f61(x131741),f189(f928(x131741,a916))))), % 194.56/194.37 inference(rename_variables,[],[3539])). % 194.56/194.37 cnf(13178,plain, % 194.56/194.37 (P1(f324(f61(x131781),f189(f928(x131781,a916))))), % 194.56/194.37 inference(rename_variables,[],[3539])). % 194.56/194.37 cnf(13181,plain, % 194.56/194.37 (P1(f324(f324(f234(a920),x131811),x131811))), % 194.56/194.37 inference(rename_variables,[],[3463])). % 194.56/194.37 cnf(13185,plain, % 194.56/194.37 (P1(f324(f324(f234(a1),x131851),x131851))), % 194.56/194.37 inference(rename_variables,[],[3464])). % 194.56/194.37 cnf(13194,plain, % 194.56/194.37 (P1(f324(f324(f234(a920),x131941),x131941))), % 194.56/194.37 inference(rename_variables,[],[3463])). % 194.56/194.37 cnf(13205,plain, % 194.56/194.37 (P1(f324(f324(f234(a1),x132051),x132051))), % 194.56/194.37 inference(rename_variables,[],[3464])). % 194.56/194.37 cnf(13215,plain, % 194.56/194.37 (~P1(f324(f324(f235(a920),x132151),f2(a920)))), % 194.56/194.37 inference(rename_variables,[],[4671])). % 194.56/194.37 cnf(13219,plain, % 194.56/194.37 (~P1(f324(f324(f326(x132191),x132192),f189(f928(x132191,a916))))), % 194.56/194.37 inference(rename_variables,[],[4680])). % 194.56/194.37 cnf(13221,plain, % 194.56/194.37 (~P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(a114,x132211)),x132212)),x132212))), % 194.56/194.37 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3128,3134,3140,3157,3158,3165,3168,3182,3190,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,3395,12651,12655,12659,3401,3410,3920,4225,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,3669,13003,13006,13009,13012,13042,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,3563,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,12504,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981])). % 194.56/194.37 cnf(13232,plain, % 194.56/194.37 (P1(f324(f324(f326(x132321),x132322),f242(f928(x132321,a916))))), % 194.56/194.37 inference(rename_variables,[],[3616])). % 194.56/194.37 cnf(13233,plain, % 194.56/194.37 (E(f324(f193(x132331,x132332),x132333),f122(x132331,x132332))), % 194.56/194.37 inference(rename_variables,[],[3378])). % 194.56/194.37 cnf(13235,plain, % 194.56/194.37 (~P22(f921(x132351),x132352,f193(x132353,x132354),f161(x132351,f242(f928(x132351,a916))))), % 194.56/194.37 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3128,3134,3140,3157,3158,3165,3168,3182,3190,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,3669,13003,13006,13009,13012,13042,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,3563,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,12504,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032])). % 194.56/194.37 cnf(13239,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(x132391,a916)),x132392),f242(f928(x132391,a916))))), % 194.56/194.37 inference(rename_variables,[],[3843])). % 194.56/194.37 cnf(13242,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(x132421,a916)),x132422),x132422))), % 194.56/194.37 inference(rename_variables,[],[3758])). % 194.56/194.37 cnf(13248,plain, % 194.56/194.37 (~P1(f324(f324(f235(a920),x132481),f2(a920)))), % 194.56/194.37 inference(rename_variables,[],[4671])). % 194.56/194.37 cnf(13249,plain, % 194.56/194.37 (P1(f324(f324(f234(a1),x132491),x132491))), % 194.56/194.37 inference(rename_variables,[],[3464])). % 194.56/194.37 cnf(13253,plain, % 194.56/194.37 (~P1(f324(f324(f235(a920),x132531),f2(a920)))), % 194.56/194.37 inference(rename_variables,[],[4671])). % 194.56/194.37 cnf(13254,plain, % 194.56/194.37 (P1(f324(f324(f234(a1),x132541),x132541))), % 194.56/194.37 inference(rename_variables,[],[3464])). % 194.56/194.37 cnf(13256,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(a1,a916)),f300(a1,f77(a1),f2(a1))),f300(a1,f2(a1),f77(a1))))), % 194.56/194.37 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3128,3134,3140,3157,3158,3165,3168,3182,3190,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,3669,13003,13006,13009,13012,13042,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,3563,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,12504,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307])). % 194.56/194.37 cnf(13259,plain, % 194.56/194.37 (P1(f324(f324(f234(a920),x132591),x132591))), % 194.56/194.37 inference(rename_variables,[],[3463])). % 194.56/194.37 cnf(13260,plain, % 194.56/194.37 (P1(f324(f61(a920),f300(a920,x132601,x132602)))), % 194.56/194.37 inference(rename_variables,[],[3667])). % 194.56/194.37 cnf(13267,plain, % 194.56/194.37 (E(f324(f324(f18(x132671,x132672),x132673),x132674),x132673)), % 194.56/194.37 inference(rename_variables,[],[3454])). % 194.56/194.37 cnf(13270,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(x132701,a916)),f324(f172(x132701),f176(x132701,x132702,x132703))),f324(f172(x132701),x132702)))), % 194.56/194.37 inference(rename_variables,[],[4155])). % 194.56/194.37 cnf(13274,plain, % 194.56/194.37 (~P1(f324(f324(f235(a920),x132741),f2(a920)))), % 194.56/194.37 inference(rename_variables,[],[4671])). % 194.56/194.37 cnf(13275,plain, % 194.56/194.37 (P1(f324(f324(f234(a1),x132751),x132751))), % 194.56/194.37 inference(rename_variables,[],[3464])). % 194.56/194.37 cnf(13279,plain, % 194.56/194.37 (~P1(f324(f324(f235(a920),x132791),f2(a920)))), % 194.56/194.37 inference(rename_variables,[],[4671])). % 194.56/194.37 cnf(13280,plain, % 194.56/194.37 (P1(f324(f324(f234(a1),x132801),x132801))), % 194.56/194.37 inference(rename_variables,[],[3464])). % 194.56/194.37 cnf(13284,plain, % 194.56/194.37 (~P1(f324(f324(f234(f928(a920,a916)),f300(a920,f324(a114,x132841),f324(a114,x132841))),f300(a920,x132842,x132841)))), % 194.56/194.37 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3128,3134,3140,3157,3158,3165,3168,3182,3190,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,3563,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,3483,10910,11060,11130,11914,12062,12262,12479,12504,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,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5,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664])). % 194.56/194.37 cnf(13285,plain, % 194.56/194.37 (P1(f324(f324(f234(a920),x132851),x132851))), % 194.56/194.37 inference(rename_variables,[],[3463])). % 194.56/194.37 cnf(13288,plain, % 194.56/194.37 (P1(f324(f324(f234(a920),x132881),x132881))), % 194.56/194.37 inference(rename_variables,[],[3463])). % 194.56/194.37 cnf(13291,plain, % 194.56/194.37 (~P1(f324(f324(f234(a920),f324(a114,x132911)),x132911))), % 194.56/194.37 inference(rename_variables,[],[4677])). % 194.56/194.37 cnf(13296,plain, % 194.56/194.37 (E(x132961,f547(f324(f7(x132962),f324(f7(x132962),x132961)),f7(x132962),x132962,x132962))), % 194.56/194.37 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3128,3134,3140,3157,3158,3165,3168,3182,3190,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,4688,11004,11404,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,3563,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816])). % 194.56/194.37 cnf(13297,plain, % 194.56/194.37 (P1(f324(f324(f326(x132971),f324(x132972,x132973)),f324(f307(x132974,x132971,x132972),f242(f928(x132974,a916)))))), % 194.56/194.37 inference(rename_variables,[],[4064])). % 194.56/194.37 cnf(13298,plain, % 194.56/194.37 (P22(x132981,x132981,f7(x132981),x132982)), % 194.56/194.37 inference(rename_variables,[],[3700])). % 194.56/194.37 cnf(13302,plain, % 194.56/194.37 (~P1(f324(f324(f326(x133021),x133022),f189(f928(x133021,a916))))), % 194.56/194.37 inference(rename_variables,[],[4680])). % 194.56/194.37 cnf(13306,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(x133061,a916)),x133062),f242(f928(x133061,a916))))), % 194.56/194.37 inference(rename_variables,[],[3843])). % 194.56/194.37 cnf(13307,plain, % 194.56/194.37 (P22(x133071,x133071,f7(x133071),x133072)), % 194.56/194.37 inference(rename_variables,[],[3700])). % 194.56/194.37 cnf(13311,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(x133111,a916)),x133112),f242(f928(x133111,a916))))), % 194.56/194.37 inference(rename_variables,[],[3843])). % 194.56/194.37 cnf(13312,plain, % 194.56/194.37 (P22(x133121,x133121,f7(x133121),x133122)), % 194.56/194.37 inference(rename_variables,[],[3700])). % 194.56/194.37 cnf(13316,plain, % 194.56/194.37 (P22(x133161,x133161,f7(x133161),x133162)), % 194.56/194.37 inference(rename_variables,[],[3700])). % 194.56/194.37 cnf(13318,plain, % 194.56/194.37 (~P1(f324(f324(f235(f928(a920,a916)),f324(f307(a1,a920,a106),f189(f928(a1,a916)))),f324(f307(a1,a920,a106),f189(f928(a1,a916)))))), % 194.56/194.37 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3128,3134,3140,3157,3158,3165,3168,3182,3190,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,4054,4678,11229,11328,11558,11561,3860,12846,3567,3785,3540,4656,3534,12871,3358,3359,10557,10880,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,4510,4511,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,4046,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,4201,4160,12510,4106,11054,12148,12335,12520,4155,11255,12381,12459,12519,12563,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,4688,11004,11404,12523,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,3563,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,4660,3774,11878,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,3908,11170,11176,11192,12180,12312,12410,12694,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,4237,3910,10913,11271,11439,11473,11484,12633,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161])). % 194.56/194.37 cnf(13319,plain, % 194.56/194.37 (~P1(f324(f324(f235(f928(x133191,a916)),x133192),f189(f928(x133191,a916))))), % 194.56/194.37 inference(rename_variables,[],[4688])). % 194.56/194.37 cnf(13323,plain, % 194.56/194.37 (~P1(f324(f324(f172(x133231),f115(x133231)),x133232))), % 194.56/194.37 inference(rename_variables,[],[4676])). % 194.56/194.37 cnf(13326,plain, % 194.56/194.37 (P22(x133261,x133261,f7(x133261),x133262)), % 194.56/194.37 inference(rename_variables,[],[3700])). % 194.56/194.37 cnf(13329,plain, % 194.56/194.37 (P22(x133291,x133291,f7(x133291),x133292)), % 194.56/194.37 inference(rename_variables,[],[3700])). % 194.56/194.37 cnf(13332,plain, % 194.56/194.37 (P1(f324(f324(f326(x133321),f324(x133322,x133323)),f324(f307(x133324,x133321,x133322),f242(f928(x133324,a916)))))), % 194.56/194.37 inference(rename_variables,[],[4064])). % 194.56/194.37 cnf(13338,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(x133381,a916)),x133382),f242(f928(x133381,a916))))), % 194.56/194.37 inference(rename_variables,[],[3843])). % 194.56/194.37 cnf(13343,plain, % 194.56/194.37 (P1(f324(f324(f234(f928(x133431,a916)),f189(f928(x133431,a916))),x133432))), % 194.56/194.37 inference(rename_variables,[],[3910])). % 194.56/194.37 cnf(13347,plain, % 194.56/194.37 (E(f324(f282(x133471,x133471),f263(x133471,x133472)),x133472)), % 194.56/194.37 inference(rename_variables,[],[3424])). % 194.56/194.37 cnf(13351,plain, % 194.56/194.37 (~P1(f324(f324(f326(x133511),x133512),f189(f928(x133511,a916))))), % 194.56/194.38 inference(rename_variables,[],[4680])). % 194.56/194.38 cnf(13354,plain, % 194.56/194.38 (P1(f324(f324(f234(f928(x133541,a916)),x133542),f324(f324(f306(x133541),x133543),x133542)))), % 194.56/194.38 inference(rename_variables,[],[3908])). % 194.56/194.38 cnf(13356,plain, % 194.56/194.38 (P22(x133561,x133561,f7(x133561),x133562)), % 194.56/194.38 inference(rename_variables,[],[3700])). % 194.56/194.38 cnf(13359,plain, % 194.56/194.38 (P1(f324(f324(f234(f928(x133591,a916)),x133592),f242(f928(x133591,a916))))), % 194.56/194.38 inference(rename_variables,[],[3843])). % 194.56/194.38 cnf(13363,plain, % 194.56/194.38 (P1(f324(f324(f326(x133631),x133632),f242(f928(x133631,a916))))), % 194.56/194.38 inference(rename_variables,[],[3616])). % 194.56/194.38 cnf(13364,plain, % 194.56/194.38 (~E(f324(f324(f151(x133641),x133642),x133643),x133643)), % 194.56/194.38 inference(rename_variables,[],[4635])). % 194.56/194.38 cnf(13367,plain, % 194.56/194.38 (E(f324(f324(f18(x133671,x133672),x133673),x133674),x133673)), % 194.56/194.38 inference(rename_variables,[],[3454])). % 194.56/194.38 cnf(13370,plain, % 194.56/194.38 (~P1(f324(f324(f326(x133701),x133702),f189(f928(x133701,a916))))), % 194.56/194.38 inference(rename_variables,[],[4680])). % 194.56/194.38 cnf(13373,plain, % 194.56/194.38 (~P1(f324(f324(f326(x133731),x133732),f189(f928(x133731,a916))))), % 194.56/194.38 inference(rename_variables,[],[4680])). % 194.56/194.38 cnf(13376,plain, % 194.56/194.38 (P1(f324(f324(f234(f928(x133761,a916)),x133762),f242(f928(x133761,a916))))), % 194.56/194.38 inference(rename_variables,[],[3843])). % 194.56/194.38 cnf(13377,plain, % 194.56/194.38 (P22(x133771,x133771,f7(x133771),x133772)), % 194.56/194.38 inference(rename_variables,[],[3700])). % 194.56/194.38 cnf(13384,plain, % 194.56/194.38 (P1(f324(f324(f235(a920),x133841),f324(a114,x133841)))), % 194.56/194.38 inference(rename_variables,[],[3531])). % 194.56/194.38 cnf(13385,plain, % 194.56/194.38 (~E(f324(a114,x133851),x133851)), % 194.56/194.38 inference(rename_variables,[],[4615])). % 194.56/194.38 cnf(13388,plain, % 194.56/194.38 (P1(f324(f324(f235(a920),x133881),f324(a114,f324(f324(f79(a920),x133882),x133881))))), % 194.56/194.38 inference(rename_variables,[],[3911])). % 194.56/194.38 cnf(13389,plain, % 194.56/194.38 (P1(f324(f324(f235(a920),x133891),f324(a114,x133891)))), % 194.56/194.38 inference(rename_variables,[],[3531])). % 194.56/194.38 cnf(13398,plain, % 194.56/194.38 (P1(f324(f324(f234(a1),f2(a1)),f324(f102(a1),x133981)))), % 194.56/194.38 inference(rename_variables,[],[3563])). % 194.56/194.38 cnf(13405,plain, % 194.56/194.38 (P1(f324(f324(f234(a920),f2(a920)),x134051))), % 194.56/194.38 inference(rename_variables,[],[3483])). % 194.56/194.38 cnf(13406,plain, % 194.56/194.38 (P1(f324(f324(f234(a920),x134061),x134061))), % 194.56/194.38 inference(rename_variables,[],[3463])). % 194.56/194.38 cnf(13409,plain, % 194.56/194.38 (~E(f324(a114,x134091),f2(a920))), % 194.56/194.38 inference(rename_variables,[],[4625])). % 194.56/194.38 cnf(13412,plain, % 194.56/194.38 (P1(f324(f324(f234(a1),x134121),x134121))), % 194.56/194.38 inference(rename_variables,[],[3464])). % 194.56/194.38 cnf(13413,plain, % 194.56/194.38 (P1(f324(f61(a1),f300(a1,x134131,x134132)))), % 194.56/194.38 inference(rename_variables,[],[3670])). % 194.56/194.38 cnf(13418,plain, % 194.56/194.38 (~P1(f324(f324(f326(x134181),x134182),f189(f928(x134181,a916))))), % 194.56/194.38 inference(rename_variables,[],[4680])). % 194.56/194.38 cnf(13421,plain, % 194.56/194.38 (P1(f324(f61(a920),f302(a920,x134211,x134212)))), % 194.56/194.38 inference(rename_variables,[],[3669])). % 194.56/194.38 cnf(13422,plain, % 194.56/194.38 (E(f324(f324(f188(a920),f324(a114,x134221)),f324(a114,x134222)),f324(a114,f324(f324(f188(a920),x134221),x134222)))), % 194.56/194.38 inference(rename_variables,[],[3630])). % 194.56/194.38 cnf(13425,plain, % 194.56/194.38 (P1(f324(f61(a920),f302(a920,x134251,x134252)))), % 194.56/194.38 inference(rename_variables,[],[3669])). % 194.56/194.38 cnf(13426,plain, % 194.56/194.38 (E(f324(f324(f233(a920),f324(a114,x134261)),f324(a114,x134262)),f324(a114,f324(f324(f233(a920),x134261),x134262)))), % 194.56/194.38 inference(rename_variables,[],[3633])). % 194.56/194.38 cnf(13429,plain, % 194.56/194.38 (P1(f324(f61(a920),f302(a920,x134291,x134292)))), % 194.56/194.38 inference(rename_variables,[],[3669])). % 194.56/194.38 cnf(13433,plain, % 194.56/194.38 (P1(f324(f61(a920),f302(a920,x134331,x134332)))), % 194.56/194.38 inference(rename_variables,[],[3669])). % 194.56/194.38 cnf(13438,plain, % 194.56/194.38 (~P1(f324(f324(f326(x134381),x134382),f189(f928(x134381,a916))))), % 194.56/194.38 inference(rename_variables,[],[4680])). % 194.56/194.38 cnf(13439,plain, % 194.56/194.38 (E(f324(f324(f18(x134391,x134392),x134393),x134394),x134393)), % 194.56/194.38 inference(rename_variables,[],[3454])). % 194.56/194.38 cnf(13442,plain, % 194.56/194.38 (P1(f324(f324(f234(f928(x134421,a916)),f324(f172(x134421),f324(f136(x134421,x134422),x134423))),f324(f172(x134421),x134423)))), % 194.56/194.38 inference(rename_variables,[],[4106])). % 194.56/194.38 cnf(13443,plain, % 194.56/194.38 (E(f324(f324(f18(x134431,x134432),x134433),x134434),x134433)), % 194.56/194.38 inference(rename_variables,[],[3454])). % 194.56/194.38 cnf(13446,plain, % 194.56/194.38 (P1(f324(f324(f234(f928(x134461,a916)),f324(f172(x134461),f324(f324(f175(x134461),x134462),x134463))),f324(f172(x134461),x134463)))), % 194.56/194.38 inference(rename_variables,[],[4150])). % 194.56/194.38 cnf(13447,plain, % 194.56/194.38 (E(f324(f324(f18(x134471,x134472),x134473),x134474),x134473)), % 194.56/194.38 inference(rename_variables,[],[3454])). % 194.56/194.38 cnf(13451,plain, % 194.56/194.38 (E(f324(f324(f18(x134511,x134512),x134513),x134514),x134513)), % 194.56/194.38 inference(rename_variables,[],[3454])). % 194.56/194.38 cnf(13464,plain, % 194.56/194.38 (P1(f324(f324(f234(a1),f2(a1)),f324(f102(a1),x134641)))), % 194.56/194.38 inference(rename_variables,[],[3563])). % 194.56/194.38 cnf(13469,plain, % 194.56/194.38 (P22(x134691,x134691,f7(x134691),x134692)), % 194.56/194.38 inference(rename_variables,[],[3700])). % 194.56/194.38 cnf(13472,plain, % 194.56/194.38 (~P1(f324(f324(f326(x134721),x134722),f189(f928(x134721,a916))))), % 194.56/194.38 inference(rename_variables,[],[4680])). % 194.56/194.38 cnf(13473,plain, % 194.56/194.38 (E(f324(f282(x134731,x134731),f263(x134731,x134732)),x134732)), % 194.56/194.38 inference(rename_variables,[],[3424])). % 194.56/194.38 cnf(13474,plain, % 194.56/194.38 (P22(x134741,x134741,f7(x134741),x134742)), % 194.56/194.38 inference(rename_variables,[],[3700])). % 194.56/194.38 cnf(13477,plain, % 194.56/194.38 (~P1(f324(f324(f326(x134771),x134772),f189(f928(x134771,a916))))), % 194.56/194.38 inference(rename_variables,[],[4680])). % 194.56/194.38 cnf(13478,plain, % 194.56/194.38 (E(f324(f282(x134781,x134781),f263(x134781,x134782)),x134782)), % 194.56/194.38 inference(rename_variables,[],[3424])). % 194.56/194.38 cnf(13479,plain, % 194.56/194.38 (P22(x134791,x134791,f7(x134791),x134792)), % 194.56/194.38 inference(rename_variables,[],[3700])). % 194.56/194.38 cnf(13483,plain, % 194.56/194.38 (P1(f324(f324(f235(f928(a1,a916)),f300(a1,f77(a1),f2(a1))),f300(a1,f2(a1),f77(a1))))), % 194.56/194.38 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3128,3134,3140,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,3913,11882,3447,3543,11708,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,49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2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566])). % 194.56/194.38 cnf(13492,plain, % 194.56/194.38 (P1(f324(f324(f234(a920),f2(a920)),x134921))), % 194.56/194.38 inference(rename_variables,[],[3483])). % 194.56/194.38 cnf(13493,plain, % 194.56/194.38 (P1(f324(f324(f235(a920),f2(a920)),f324(a114,x134931)))), % 194.56/194.38 inference(rename_variables,[],[3543])). % 194.56/194.38 cnf(13494,plain, % 194.56/194.38 (E(f324(f282(x134941,x134941),f263(x134941,x134942)),x134942)), % 194.56/194.38 inference(rename_variables,[],[3424])). % 194.56/194.38 cnf(13523,plain, % 194.56/194.38 (~E(f324(f324(f151(x135231),x135232),x135233),f324(f168(x135231),f115(x135231)))), % 194.56/194.38 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836])). % 194.56/194.38 cnf(13579,plain, % 194.56/194.38 (P1(f324(f324(f235(a1),f2(a1)),f324(f75(a1),f77(a1))))), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817])). % 194.56/194.39 cnf(13599,plain, % 194.56/194.39 (~P1(f324(f61(x135991),f37(f928(x135991,a916),f242(f928(f928(x135991,a916),a916)))))), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817,5843,5847,5905,5907,5916,5922,6003,6082,6235,6401])). % 194.56/194.39 cnf(13625,plain, % 194.56/194.39 (P29(x136251,f324(f234(f928(x136252,a916)),f324(f283(x136253,x136252,x136254),f189(f928(x136253,a916)))),x136255)), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817,5843,5847,5905,5907,5916,5922,6003,6082,6235,6401,6524,6682,6886,7101,7142,7237,7310,7529,7547,7616,7946,7947,8049])). % 194.56/194.39 cnf(13635,plain, % 194.56/194.39 (P40(a25,f914(f235(a920),a25,f234(a920),x136351),x136351,f338(f235(a920),a25,f234(a920),x136351))), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817,5843,5847,5905,5907,5916,5922,6003,6082,6235,6401,6524,6682,6886,7101,7142,7237,7310,7529,7547,7616,7946,7947,8049,8083,8112,8207,8213,8519])). % 194.56/194.39 cnf(13641,plain, % 194.56/194.39 (~P1(f324(f324(f234(f928(a1,a916)),f324(f307(a920,a1,f102(a1)),f300(a920,f2(a920),f2(a920)))),f324(f307(a920,a1,f102(a1)),f300(a920,f324(a114,f2(a920)),x136411))))), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817,5843,5847,5905,5907,5916,5922,6003,6082,6235,6401,6524,6682,6886,7101,7142,7237,7310,7529,7547,7616,7946,7947,8049,8083,8112,8207,8213,8519,8908,9144,9247])). % 194.56/194.39 cnf(13659,plain, % 194.56/194.39 (~P1(f324(f324(f234(a920),f324(a114,f324(f142(a920,a920,f79(a920),f2(a920)),f169(a920,f324(a114,f2(a920)),f324(a114,f2(a920)))))),f324(a114,f2(a920))))), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3829,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,13433,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,13477,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,12814,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817,5843,5847,5905,5907,5916,5922,6003,6082,6235,6401,6524,6682,6886,7101,7142,7237,7310,7529,7547,7616,7946,7947,8049,8083,8112,8207,8213,8519,8908,9144,9247,9497,9778,5064,5209,5412,5809,6053])). % 194.56/194.39 cnf(13671,plain, % 194.56/194.39 (P1(f324(f324(f234(a920),f324(f324(f79(a920),f2(a920)),x136711)),x136711))), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3920,4225,3378,13233,3530,12713,12798,3297,3298,3660,4013,11643,3518,3361,3363,3829,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,4095,4635,10484,10648,11511,11695,12611,12652,12656,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,13433,3670,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,13477,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,12814,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817,5843,5847,5905,5907,5916,5922,6003,6082,6235,6401,6524,6682,6886,7101,7142,7237,7310,7529,7547,7616,7946,7947,8049,8083,8112,8207,8213,8519,8908,9144,9247,9497,9778,5064,5209,5412,5809,6053,6128,6132,6150,6160,6184,6198,6455])). % 194.56/194.39 cnf(13707,plain, % 194.56/194.39 (P1(f324(f324(f235(f928(a1,a916)),f324(f307(a1,a1,f7(a1)),f300(a1,f77(a1),f2(a1)))),f324(f307(a1,a1,f7(a1)),f300(a1,f2(a1),f77(a1)))))), % 194.56/194.39 inference(scs_inference,[],[3507,4121,12716,12741,12892,12894,12896,3676,12350,12372,12852,12854,3700,11323,12387,12489,12492,12584,12626,12630,12638,12710,12841,12843,13298,13307,13312,13316,13326,13329,13356,13377,13469,13474,13479,3708,12456,12948,12950,3717,3433,12916,12918,12920,3434,12938,3400,12795,4645,4646,11959,4396,12931,3437,12956,3274,3330,12884,3331,12858,3332,3333,3334,12666,12922,4644,3760,4615,10424,10434,10447,10458,10530,10565,10568,10571,10667,10801,11105,11293,11296,11315,11318,11514,11600,11607,11621,11667,11670,11692,11709,11724,11787,11846,11865,12159,12184,12198,12227,12233,12329,12452,12619,12680,12827,13117,13385,3519,3481,12927,3666,12131,3384,4625,10651,10750,11203,11303,13049,13409,4633,3071,3073,3074,3078,3079,3082,3083,3085,3086,3087,3089,3090,3094,3095,3102,3103,3105,3106,3109,3110,3113,3117,3121,3124,3125,3126,3128,3134,3140,3144,3154,3157,3158,3165,3168,3173,3182,3190,3191,3194,3202,3208,3214,3222,3227,3230,3234,3235,3236,3244,3353,3354,3355,4612,3257,3329,4613,3798,4027,11896,3308,11597,3445,3421,3424,10493,10496,10592,10595,10904,11612,11615,11735,11774,11779,11849,11891,11931,12353,12560,12773,12829,12831,12839,12850,12856,12864,12873,12879,12882,12904,13168,13347,13473,13478,13494,3395,12651,12655,12659,3401,3410,3515,3920,4225,3378,13233,3530,12713,12798,12811,3297,3298,3660,4013,11643,3518,3361,3363,3829,3294,3321,3779,3317,3426,4130,4021,3841,4598,12815,4133,3306,3307,3284,3932,3340,3520,11057,11179,12453,12670,3394,3419,4095,4635,10484,10648,11511,11695,12611,12652,12656,13364,4642,12623,3454,11980,11983,13267,13367,13439,13443,13447,13451,4054,4678,11229,11328,11558,11561,3860,12846,3451,3567,3785,3540,3559,4656,12608,3534,12871,3358,3359,10557,10880,4665,3620,3348,3275,3380,11633,4239,12641,12785,4097,11249,11380,11442,12595,12601,12730,12733,12763,4696,11157,11393,11505,11531,11566,11572,12539,4697,11282,11396,11508,11569,4698,11399,11453,4699,11460,4700,3379,3658,12495,12536,12622,3825,3609,12607,4510,4511,3642,3681,4632,11626,3802,3761,3804,3977,3728,13151,13155,13159,13163,13173,4023,12486,3644,3903,3531,10576,10690,10770,10840,10843,10883,10980,11219,11823,12155,12220,12300,12341,12430,12433,12767,13032,13071,13074,13116,13134,13384,13389,3913,11882,3447,3543,11708,11995,13493,3723,4671,10461,10464,10490,10988,11001,11115,11550,11636,11822,12048,12053,12276,12279,12365,12542,12645,12978,12997,13000,13024,13075,13215,13248,13253,13274,13279,4684,11751,11782,11819,11826,11862,13084,13088,3900,3667,13260,3669,13003,13006,13009,13012,13042,13045,13421,13425,13429,13433,3670,13413,4046,3630,13422,3633,13426,3489,3491,3465,4668,3357,4629,3851,4161,3651,4685,4232,11528,3784,3502,12001,12004,12460,12564,12744,4676,10452,10455,10619,10711,10730,10737,10765,10773,10776,10790,10973,11206,11422,11702,11796,11950,12066,12069,12250,12644,13323,4201,4160,12510,4106,11054,12148,12335,12520,12669,13442,4150,13446,4155,11255,12381,12459,12519,12563,13270,4156,3826,11830,12158,12307,12395,12443,4189,3843,11252,11333,11412,11479,12328,12332,12411,12675,12740,12760,12770,13239,13306,13311,13338,13359,13376,4688,11004,11404,12523,13319,3463,10585,10677,10755,10826,10890,10962,11007,11010,11041,11063,11099,11137,11173,11953,11998,12128,12183,12201,12204,12207,12210,12249,12384,12404,12418,12421,12424,12427,12503,12567,12686,12736,13025,13048,13126,13137,13142,13145,13148,13181,13194,13259,13285,13288,13406,3464,10612,10662,10895,10983,11102,11727,12033,12036,12045,12134,12145,12164,12169,12213,12236,12257,13039,13185,13205,13249,13254,13275,13280,13412,3539,12368,13104,13152,13156,13160,13164,13174,13178,4667,10501,10533,11025,11066,11075,11910,11934,12102,12105,12108,12111,12197,12216,12219,12232,12288,12291,12294,12297,12471,12474,12570,12573,12679,12719,12807,3616,10758,10846,11110,11154,11383,11386,11468,11547,11712,12618,12810,13232,13363,4680,11034,11044,11146,11164,11167,11232,11235,11246,11349,11357,11371,11407,11427,11436,11476,11517,11522,11525,11541,11544,11575,11580,11583,11829,11975,12010,12282,12285,12319,12369,12407,12548,12592,12598,12698,12701,12723,12784,12790,12801,12821,13103,13120,13123,13219,13302,13351,13370,13373,13418,13438,13472,13477,3524,10877,10907,10916,10919,11497,12720,12737,13085,13089,13092,13095,3563,13398,13464,3556,3981,3918,10536,11885,11913,13066,4677,10481,10865,10868,11352,11368,11845,11901,11938,12063,12090,12093,12096,12099,12364,13291,3483,10910,11060,11130,11914,12062,12262,12479,12504,13113,13405,13492,3942,12007,13019,4280,3673,4674,3953,3989,4659,4662,4663,3440,3444,4661,3442,4660,4447,3774,11878,11962,4374,11734,4690,10779,10782,4695,11238,11241,11430,11555,11589,4064,11586,11937,11941,12629,12637,12729,13297,13332,3908,11170,11176,11192,12180,12312,12410,12694,12726,13354,3758,11308,11433,12436,12545,12555,12634,12689,12697,12818,13242,4237,3910,10913,11271,11439,11473,11484,12633,12683,13343,3724,10829,10832,10922,11086,3726,4693,11879,4689,12987,4694,10670,10785,11415,12498,12507,12551,12754,12757,12814,4335,11047,12516,12531,12554,4243,3941,12824,3886,3887,4691,10506,10509,10871,10874,11748,11942,12766,4692,11859,11947,3911,10835,11092,13388,4175,4707,4733,4788,4792,4820,4835,4842,4844,4880,4885,4914,4920,5006,5032,5033,5048,5099,5100,5122,5123,5137,5140,5165,5171,5187,5190,5191,5192,5197,5198,5223,5249,5251,5252,5262,5267,5276,5312,5313,5321,5330,5334,5336,5339,5351,5353,5359,5364,5365,5378,5384,5387,5388,5392,5426,5440,5449,5451,5452,5455,5456,5457,5467,5469,5475,5476,5477,5483,5487,5488,5489,5497,5501,5502,5507,5520,5528,5540,5542,5550,5554,5558,5584,5598,5599,5614,5626,5648,5654,5676,5677,5681,5700,5708,5709,5714,5715,5725,5727,5740,5744,5753,5754,5756,5757,5773,5778,5788,5789,5800,5807,5821,5825,5828,5834,5835,5836,5839,5844,5880,5881,5884,5886,5889,5890,5891,5893,5895,5897,5902,5909,5924,5938,5943,5944,5947,5958,5959,5966,5968,5972,5974,5980,5988,5989,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6074,6084,6090,6108,6111,6120,6153,6167,6194,6211,6212,6215,6230,6232,6234,6236,6251,6252,6255,6257,6260,6261,6276,6284,6285,6286,6288,6290,6326,6327,6332,6335,6342,6346,6380,6382,6384,6386,6395,6397,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6461,6462,6463,6464,6466,6473,6478,6512,6513,6516,6517,6518,6520,6521,6522,6523,6532,6566,6567,6576,6598,6599,6619,6621,6632,6633,6639,6669,6671,6685,6723,6725,6726,6782,6805,6849,6868,6877,6878,6879,6880,6898,6899,6906,6918,6921,6923,6924,6925,6927,6929,6943,6954,6955,6956,6969,7023,7035,7037,7041,7059,7060,7093,7106,7137,7223,7251,7306,7327,7336,7340,7403,7413,7476,7478,7492,7501,7502,7503,7520,7524,7526,7576,7586,7592,7607,7655,7657,7660,7701,7702,7720,7788,7806,7830,7853,7865,7879,7890,7901,7902,7928,7930,7932,7941,7984,7996,8021,8081,8115,8151,8190,8206,8208,8224,8225,8299,8366,8390,8409,8436,8475,8476,8494,8534,8536,8538,8545,8559,8563,8578,8601,8609,8611,8621,8626,8630,8631,8632,8633,8634,8635,8657,8671,8672,8690,8692,8696,8697,8698,8699,8700,8718,8719,8720,8730,8743,8746,8757,8762,8764,8766,8767,8768,8775,8781,8789,8792,8809,8810,8818,8819,8827,8846,8859,8863,8884,8905,8906,8909,8910,8916,8926,8927,8950,8961,8971,8972,8973,8976,8999,9000,9011,9063,9073,9075,9091,9103,9104,9105,9116,9183,9214,9215,9216,9231,9248,9256,9284,9290,9340,9367,9398,9404,9414,9415,9416,9426,9454,9471,9475,9479,9502,9503,9530,9594,9599,9602,9635,9636,9637,9661,9662,9679,9700,9706,9718,9743,9764,9773,9774,9775,9776,9792,9794,9799,9829,9830,9836,9837,9883,9884,9894,9895,9919,9938,9940,9941,9950,9963,9988,10022,10024,10028,10077,10118,10119,10121,10130,10131,10151,10156,10247,10333,10334,10395,10410,2,10,11,4720,4721,4739,4781,4782,4784,4807,4813,4814,4824,4869,4871,4919,5049,5050,5063,5088,5143,5144,5150,5151,5153,5155,5164,5167,5168,5176,5188,5189,5195,5216,5217,5238,5243,5244,5245,5246,5250,5258,5261,5269,5270,5271,5327,5332,5333,5338,5345,5375,5385,5390,5406,5424,5425,5432,5433,5434,5445,5463,5465,5466,5473,5480,5481,5493,5494,5495,5496,5498,5499,5503,5504,5505,5506,5536,5537,5538,5546,5547,5548,5549,5590,5595,5597,5625,5633,5635,5636,5638,5639,5641,5642,5644,5653,5658,5659,5660,5662,5664,5665,5666,5667,5668,5669,5678,5679,5689,5692,5703,5719,5720,5723,5734,5736,5737,5738,5765,5775,5791,5792,5801,5802,5804,5806,5811,5846,5851,5853,5911,5945,5946,5951,5957,5960,5961,5962,5963,5975,5985,5990,5991,6000,6021,6050,6069,6072,6073,6075,6098,6102,6105,6106,6107,6122,6131,6137,6138,6169,6170,6174,6196,6199,6202,6224,6225,6253,6256,6264,6275,6283,6287,6294,6295,6296,6297,6317,6318,6329,6347,6398,6435,6437,6458,6459,6465,6469,6470,6474,6489,6504,6525,6526,6533,6542,6544,6559,6579,6586,6588,6603,6604,6607,6608,6610,6612,6613,6614,6616,6618,6620,6625,6626,6628,6629,6635,6637,6679,6684,6699,6701,6702,6703,6740,6745,6747,6752,6753,6761,6765,6777,6800,6801,6803,6804,6816,6822,6841,6844,6862,6889,6892,6893,6894,6900,6914,6933,6935,6937,6939,6944,6950,6952,6966,6971,6972,7009,7010,7011,7025,7026,7028,7029,7034,7049,7051,7066,7091,7114,7126,7128,7130,7132,7133,7165,7166,7169,7170,7177,7178,7180,7182,7204,7214,7215,7226,7236,7275,7285,7289,7296,7307,7312,7314,7321,7329,7330,7344,7361,7382,7384,7401,7406,7459,7460,7461,7463,7465,7469,7475,7477,7540,7559,7572,7589,7590,7595,7606,7637,7640,7647,7663,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7829,7831,7832,7833,7838,7859,7876,7881,7887,7889,7897,7909,7910,7912,7933,7939,7967,8034,8035,8036,8084,8092,8093,8117,8118,8137,8138,8139,8197,8198,8228,8259,8269,8280,8291,8322,8326,8332,8344,8362,8367,8389,8434,8463,8477,8497,8500,8527,8553,8612,8613,8616,8617,8688,8722,8723,8724,8725,8752,8784,8813,8820,8821,8862,8883,8928,8944,8990,8993,9008,9015,9060,9099,9100,9118,9119,9132,9253,9258,9262,9282,9300,9325,9327,9332,9338,9341,9342,9352,9353,9374,9380,9390,9397,9440,9459,9480,9515,9516,9522,9561,9585,9591,9631,9641,9644,9645,9647,9648,9660,9684,9699,9708,9709,9711,9713,9742,9864,9865,9914,9915,9955,9994,10104,10160,10222,10309,10325,10330,3,2792,2793,2796,2797,2798,2800,2808,2813,2814,2815,2816,2820,2823,2825,2829,2834,2835,2838,2839,2845,2849,2850,2851,2853,2854,2855,2856,2857,2858,2859,2860,2862,2864,2870,2871,2872,2873,2874,2876,2877,2879,2880,2881,2882,2883,2889,2891,2893,2901,2908,2909,2910,2918,2919,2920,2921,2922,2923,2931,2932,2940,2941,2956,2959,2960,2961,2968,2969,2970,2986,2987,3005,3007,3008,3010,3012,3014,3024,3025,3027,3061,3062,5326,5423,5462,5606,5607,5608,5690,5790,5820,5854,5870,5872,5878,5939,5940,5941,5942,5949,5987,6117,6158,6168,6193,6228,6265,6414,6419,6456,6457,6479,6482,6484,6491,6492,6493,6494,6495,6496,6497,6498,6581,6649,6650,6739,6772,6773,6813,6814,6951,6965,7038,7039,7046,7067,7089,7098,7100,7147,7167,7168,7186,7187,7225,7269,7270,7368,7439,7440,7441,7442,7457,7493,7545,7546,7555,7563,7564,7575,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7949,7975,7981,7982,7990,7993,8031,8032,8113,8156,8210,8233,8234,8307,8402,8473,8474,8478,8512,8574,8575,8644,8664,8665,8666,8667,8816,9053,9077,9078,9147,9161,9179,9217,9218,9347,9349,9383,9409,9441,9485,9682,9806,9951,10129,10185,10187,10407,5268,6564,6565,6652,6672,6673,6727,6728,7088,7305,8460,8738,8984,9172,9173,9244,9245,9437,9533,9534,9535,9536,9745,10016,10030,10383,10384,6634,8566,8567,9041,9061,10017,10382,5730,4745,4754,4786,4787,4790,4836,4840,4845,4886,4983,5000,5030,5031,5062,5121,5124,5183,5320,5360,5361,5363,5370,5371,5395,5439,5470,5492,5622,5695,5696,5697,5758,5816,5817,5843,5847,5905,5907,5916,5922,6003,6082,6235,6401,6524,6682,6886,7101,7142,7237,7310,7529,7547,7616,7946,7947,8049,8083,8112,8207,8213,8519,8908,9144,9247,9497,9778,5064,5209,5412,5809,6053,6128,6132,6150,6160,6184,6198,6455,6540,6642,7222,7256,7297,7506,7573,8006,8045,8172,12537,9005,9079])). % 194.56/194.39 cnf(13799,plain, % 194.56/194.39 (~P1(f324(f324(f326(x137991),x137992),f324(f283(x137993,x137991,x137994),f324(f283(x137995,x137993,x137996),f189(f928(x137995,a916))))))), % 194.56/194.39 inference(rename_variables,[],[11519])). % 194.56/194.39 cnf(13809,plain, % 194.56/194.39 (E(f324(x138091,f324(f91(x138092,x138093,f242(f928(x138092,a916)),x138091),f324(x138091,x138094))),f324(x138091,x138094))), % 194.56/194.39 inference(rename_variables,[],[11305])). % 194.56/194.39 cnf(13814,plain, % 194.56/194.39 (E(f324(x138141,f324(f91(x138142,x138143,f242(f928(x138142,a916)),x138141),f324(x138141,x138144))),f324(x138141,x138144))), % 194.56/194.39 inference(rename_variables,[],[11305])). % 194.56/194.39 cnf(13822,plain, % 194.56/194.39 (P1(f324(f324(f235(a1),x138221),f324(f324(f79(a1),x138221),f77(a1))))), % 194.56/194.39 inference(rename_variables,[],[11101])). % 194.56/194.39 cnf(13825,plain, % 194.56/194.39 (P1(f324(f324(f235(a1),x138251),f324(f324(f79(a1),x138251),f77(a1))))), % 194.56/194.39 inference(rename_variables,[],[11101])). % 194.56/194.39 cnf(13830,plain, % 194.56/194.39 (~P1(f324(f324(f235(a920),x138301),f324(f190(f921(x138302)),f115(x138302))))), % 194.56/194.39 inference(rename_variables,[],[12783])). % 194.56/194.39 cnf(13843,plain, % 194.56/194.39 (E(f324(x138431,f324(f91(x138432,x138433,f242(f928(x138432,a916)),x138431),f324(x138431,x138434))),f324(x138431,x138434))), % 194.56/194.39 inference(rename_variables,[],[11305])). % 194.56/194.39 cnf(13862,plain, % 194.56/194.39 (~P1(f324(f324(f326(x138621),x138622),f324(f283(x138623,x138621,x138624),f324(f283(x138625,x138623,x138626),f189(f928(x138625,a916))))))), % 194.56/194.39 inference(rename_variables,[],[11519])). % 194.56/194.39 cnf(13865,plain, % 194.56/194.39 (E(f324(x138651,f324(f91(x138652,x138653,f242(f928(x138652,a916)),x138651),f324(x138651,x138654))),f324(x138651,x138654))), % 194.56/194.39 inference(rename_variables,[],[11305])). % 194.56/194.39 cnf(13871,plain, % 194.56/194.39 (E(f324(x138711,f324(f91(x138712,x138713,f242(f928(x138712,a916)),x138711),f324(x138711,x138714))),f324(x138711,x138714))), % 194.56/194.39 inference(rename_variables,[],[11305])). % 194.56/194.39 cnf(13874,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x138741,x138742)),x138743),f324(f307(f927(x138744,x138744),f927(x138741,x138742),f258(x138744,x138741,x138744,x138742,x138745,x138746)),f153(x138744,f115(f928(x138744,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(13877,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x138771,x138772)),x138773),f324(f307(f927(x138774,x138774),f927(x138771,x138772),f258(x138774,x138771,x138774,x138772,x138775,x138776)),f153(x138774,f115(f928(x138774,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(13880,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x138801,x138802)),x138803),f324(f307(f927(x138804,x138804),f927(x138801,x138802),f258(x138804,x138801,x138804,x138802,x138805,x138806)),f153(x138804,f115(f928(x138804,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(13883,plain, % 194.56/194.39 (~P1(f324(f324(f326(x138831),x138832),f324(f283(x138833,x138831,x138834),f324(f283(x138835,x138833,x138836),f189(f928(x138835,a916))))))), % 194.56/194.39 inference(rename_variables,[],[11519])). % 194.56/194.39 cnf(13886,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x138861,x138862)),x138863),f324(f307(f927(x138864,x138864),f927(x138861,x138862),f258(x138864,x138861,x138864,x138862,x138865,x138866)),f153(x138864,f115(f928(x138864,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(13889,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x138891,x138892)),x138893),f324(f307(f927(x138894,x138894),f927(x138891,x138892),f258(x138894,x138891,x138894,x138892,x138895,x138896)),f153(x138894,f115(f928(x138894,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(13892,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x138921,x138922)),x138923),f324(f307(f927(x138924,x138924),f927(x138921,x138922),f258(x138924,x138921,x138924,x138922,x138925,x138926)),f153(x138924,f115(f928(x138924,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(13895,plain, % 194.56/194.39 (~P1(f324(f324(f326(x138951),x138952),f324(f283(x138953,x138951,x138954),f324(f283(x138955,x138953,x138956),f189(f928(x138955,a916))))))), % 194.56/194.39 inference(rename_variables,[],[11519])). % 194.56/194.39 cnf(13898,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x138981,x138981)),x138982),f263(x138981,f189(f928(x138981,a916)))))), % 194.56/194.39 inference(rename_variables,[],[11163])). % 194.56/194.39 cnf(13901,plain, % 194.56/194.39 (E(f324(x139011,f324(f91(x139012,x139013,f242(f928(x139012,a916)),x139011),f324(x139011,x139014))),f324(x139011,x139014))), % 194.56/194.39 inference(rename_variables,[],[11305])). % 194.56/194.39 cnf(13919,plain, % 194.56/194.39 (~P1(f324(f324(f172(x139191),f324(f136(x139191,x139192),f115(x139191))),x139193))), % 194.56/194.39 inference(rename_variables,[],[12147])). % 194.56/194.39 cnf(13922,plain, % 194.56/194.39 (E(f324(f78(f928(x139221,a916)),f324(f78(f928(x139221,a916)),x139222)),x139222)), % 194.56/194.39 inference(rename_variables,[],[3590])). % 194.56/194.39 cnf(13927,plain, % 194.56/194.39 (~E(f324(f258(x139271,x139272,x139273,x139273,f307(x139274,f928(x139274,a916),x139275),f31(x139273)),x139276),f324(f258(x139271,x139272,x139273,x139273,f305(x139274),f31(x139273)),x139276))), % 194.56/194.39 inference(rename_variables,[],[11557])). % 194.56/194.39 cnf(13932,plain, % 194.56/194.39 (E(f324(f78(f928(x139321,a916)),f324(f78(f928(x139321,a916)),x139322)),x139322)), % 194.56/194.39 inference(rename_variables,[],[3590])). % 194.56/194.39 cnf(13941,plain, % 194.56/194.39 (P1(f324(f324(f235(a1),f324(f324(f3(a1),x139411),f77(a1))),x139411))), % 194.56/194.39 inference(rename_variables,[],[10982])). % 194.56/194.39 cnf(13952,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x139521,a916)),f324(f172(x139521),f324(f324(f138(x139521),x139522),x139523))),f324(f172(x139521),x139523)))), % 194.56/194.39 inference(rename_variables,[],[4151])). % 194.56/194.39 cnf(13955,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x139551,a916)),f324(f283(x139552,x139551,x139553),f189(f928(x139552,a916)))),x139554))), % 194.56/194.39 inference(rename_variables,[],[11483])). % 194.56/194.39 cnf(13963,plain, % 194.56/194.39 (P1(f324(f324(f235(a1),f324(f324(f3(a1),x139631),f77(a1))),x139631))), % 194.56/194.39 inference(rename_variables,[],[10982])). % 194.56/194.39 cnf(13966,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x139661,x139661)),x139662),f263(x139661,f189(f928(x139661,a916)))))), % 194.56/194.39 inference(rename_variables,[],[11163])). % 194.56/194.39 cnf(13976,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x139761,x139762)),x139763),f324(f307(f927(x139764,x139764),f927(x139761,x139762),f258(x139764,x139761,x139764,x139762,x139765,x139766)),f153(x139764,f115(f928(x139764,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(13989,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x139891,a916)),x139892),f324(f324(f112(f928(x139891,a916)),x139893),x139892)))), % 194.56/194.39 inference(rename_variables,[],[4051])). % 194.56/194.39 cnf(13992,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x139921,a916)),f324(f283(x139922,x139921,f189(f928(f927(x139922,x139921),a916))),x139923)),x139924))), % 194.56/194.39 inference(rename_variables,[],[11438])). % 194.56/194.39 cnf(14002,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x140021,x140021)),x140022),f263(x140021,f189(f928(x140021,a916)))))), % 194.56/194.39 inference(rename_variables,[],[11163])). % 194.56/194.39 cnf(14007,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(f928(x140071,a916),f928(x140071,a916))),f324(f324(f252(f928(x140071,a916),f928(x140071,a916)),x140072),f189(f928(x140071,a916)))),f311(x140071)))), % 194.56/194.39 inference(rename_variables,[],[11465])). % 194.56/194.39 cnf(14019,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x140191,x140191)),x140192),f153(x140191,f115(f928(x140191,a920)))))), % 194.56/194.39 inference(rename_variables,[],[12352])). % 194.56/194.39 cnf(14024,plain, % 194.56/194.39 (E(f324(f324(f79(a920),f2(a920)),x140241),x140241)), % 194.56/194.39 inference(rename_variables,[],[3372])). % 194.56/194.39 cnf(14033,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(f921(x140331),f921(x140331))),f324(f324(f252(f921(x140331),f921(x140331)),x140332),x140333)),f157(x140331,f153(x140331,f115(f928(x140331,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11554])). % 194.56/194.39 cnf(14036,plain, % 194.56/194.39 (~P1(f324(f324(f67(f921(x140361),f921(x140361),f145(x140361,x140362)),x140363),f115(x140361)))), % 194.56/194.39 inference(rename_variables,[],[11279])). % 194.56/194.39 cnf(14044,plain, % 194.56/194.39 (P1(f324(f324(f235(a1),f324(f324(f3(a1),x140441),f77(a1))),x140441))), % 194.56/194.39 inference(rename_variables,[],[10982])). % 194.56/194.39 cnf(14049,plain, % 194.56/194.39 (~P1(f324(f324(f172(x140491),f324(f136(x140491,x140492),f115(x140491))),x140493))), % 194.56/194.39 inference(rename_variables,[],[12147])). % 194.56/194.39 cnf(14052,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x140521,a916)),f324(f283(x140522,x140521,f189(f928(f927(x140522,x140521),a916))),x140523)),x140524))), % 194.56/194.39 inference(rename_variables,[],[11438])). % 194.56/194.39 cnf(14055,plain, % 194.56/194.39 (~E(x140551,f324(f324(f151(x140552),x140553),x140551))), % 194.56/194.39 inference(rename_variables,[],[11098])). % 194.56/194.39 cnf(14064,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x140641,a916)),f324(f283(x140642,x140641,f189(f928(f927(x140642,x140641),a916))),x140643)),x140644))), % 194.56/194.39 inference(rename_variables,[],[11438])). % 194.56/194.39 cnf(14069,plain, % 194.56/194.39 (~E(f242(f928(x140691,a916)),f189(f928(x140691,a916)))), % 194.56/194.39 inference(rename_variables,[],[4636])). % 194.56/194.39 cnf(14082,plain, % 194.56/194.39 (~P1(f324(f324(f172(x140821),f324(f136(x140821,x140822),f115(x140821))),x140823))), % 194.56/194.39 inference(rename_variables,[],[12147])). % 194.56/194.39 cnf(14085,plain, % 194.56/194.39 (~P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(a114,x140851)),x140852)),x140852))), % 194.56/194.39 inference(rename_variables,[],[13221])). % 194.56/194.39 cnf(14102,plain, % 194.56/194.39 (~E(f242(f928(x141021,a916)),f189(f928(x141021,a916)))), % 194.56/194.39 inference(rename_variables,[],[4636])). % 194.56/194.39 cnf(14109,plain, % 194.56/194.39 (~P1(f324(f324(f255(x141091,x141092,a916,f324(f172(x141093),f115(x141093))),x141094),x141095))), % 194.56/194.39 inference(rename_variables,[],[11421])). % 194.56/194.39 cnf(14114,plain, % 194.56/194.39 (~P1(f324(f324(f255(x141141,x141142,a916,f324(f172(x141143),f115(x141143))),x141144),x141145))), % 194.56/194.39 inference(rename_variables,[],[11421])). % 194.56/194.39 cnf(14125,plain, % 194.56/194.39 (P1(f324(f324(f326(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f324(f324(f252(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x141251),f189(f928(f927(a920,a920),a916)))),a71))), % 194.56/194.39 inference(rename_variables,[],[4427])). % 194.56/194.39 cnf(14141,plain, % 194.56/194.39 (P1(f324(f324(f234(a1),f45(a920,x141411,f189(a920))),x141411))), % 194.56/194.39 inference(rename_variables,[],[12032])). % 194.56/194.39 cnf(14164,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x141641,x141642)),x141643),f324(f307(f927(x141644,x141644),f927(x141641,x141642),f258(x141644,x141641,x141644,x141642,x141645,x141646)),f153(x141644,f115(f928(x141644,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(14178,plain, % 194.56/194.39 (~P1(f324(f324(f235(a920),f324(f256(x141781,x141782),f324(f324(f252(x141781,x141782),a931),x141783))),x141783))), % 194.56/194.39 inference(rename_variables,[],[12470])). % 194.56/194.39 cnf(14181,plain, % 194.56/194.39 (P1(f324(f324(f234(a920),x141811),f324(f324(f79(a920),x141812),x141811)))), % 194.56/194.39 inference(rename_variables,[],[3725])). % 194.56/194.39 cnf(14191,plain, % 194.56/194.39 (P1(f324(f324(f234(a1),f45(a920,x141911,f189(a920))),x141911))), % 194.56/194.39 inference(rename_variables,[],[12032])). % 194.56/194.39 cnf(14194,plain, % 194.56/194.39 (~P1(f324(f324(f172(x141941),f324(f136(x141941,x141942),f115(x141941))),x141943))), % 194.56/194.39 inference(rename_variables,[],[12147])). % 194.56/194.39 cnf(14201,plain, % 194.56/194.39 (~P1(f324(f324(f67(f921(x142011),f921(x142011),f145(x142011,x142012)),x142013),f115(x142011)))), % 194.56/194.39 inference(rename_variables,[],[11279])). % 194.56/194.39 cnf(14204,plain, % 194.56/194.39 (~P1(f324(f324(f234(a920),f324(f324(f79(a920),f324(a114,x142041)),x142042)),x142042))), % 194.56/194.39 inference(rename_variables,[],[13221])). % 194.56/194.39 cnf(14209,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x142091,x142092)),x142093),f324(f307(f927(x142094,x142094),f927(x142091,x142092),f258(x142094,x142091,x142094,x142092,x142095,x142096)),f153(x142094,f115(f928(x142094,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(14215,plain, % 194.56/194.39 (P1(f324(f324(f235(a1),f324(f324(f3(a1),x142151),f77(a1))),x142151))), % 194.56/194.39 inference(rename_variables,[],[10982])). % 194.56/194.39 cnf(14220,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(f921(x142201),f921(x142201))),f324(f324(f252(f921(x142201),f921(x142201)),x142202),f115(x142201))),f324(f284(f921(x142201),f921(x142201)),f157(x142201,x142203))))), % 194.56/194.39 inference(rename_variables,[],[11452])). % 194.56/194.39 cnf(14225,plain, % 194.56/194.39 (~P1(f324(f324(f235(a920),x142251),f324(f190(f921(x142252)),f115(x142252))))), % 194.56/194.39 inference(rename_variables,[],[12783])). % 194.56/194.39 cnf(14235,plain, % 194.56/194.39 (E(f324(x142351,f324(f91(x142352,x142353,f242(f928(x142352,a916)),x142351),f324(x142351,x142354))),f324(x142351,x142354))), % 194.56/194.39 inference(rename_variables,[],[11305])). % 194.56/194.39 cnf(14250,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(f921(x142501),f921(x142501))),f324(f324(f252(f921(x142501),f921(x142501)),x142502),x142503)),f157(x142501,f153(x142501,f115(f928(x142501,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11554])). % 194.56/194.39 cnf(14253,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x142531,x142531)),x142532),f263(x142531,f189(f928(x142531,a916)))))), % 194.56/194.39 inference(rename_variables,[],[11163])). % 194.56/194.39 cnf(14260,plain, % 194.56/194.39 (P1(f324(f324(f235(a920),x142601),f324(a114,f324(f324(f79(a920),x142601),x142602))))), % 194.56/194.39 inference(rename_variables,[],[3912])). % 194.56/194.39 cnf(14270,plain, % 194.56/194.39 (~E(f324(f324(f151(x142701),x142702),x142703),f324(f168(x142701),f115(x142701)))), % 194.56/194.39 inference(rename_variables,[],[13523])). % 194.56/194.39 cnf(14289,plain, % 194.56/194.39 (E(f324(f324(f79(a920),x142891),f861(x142891,x142891)),x142891)), % 194.56/194.39 inference(rename_variables,[],[10625])). % 194.56/194.39 cnf(14292,plain, % 194.56/194.39 (~P1(f324(f324(f172(x142921),f324(f136(x142921,x142922),f115(x142921))),x142923))), % 194.56/194.39 inference(rename_variables,[],[12147])). % 194.56/194.39 cnf(14299,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(f921(x142991),f921(x142991))),f324(f324(f252(f921(x142991),f921(x142991)),x142992),x142993)),f157(x142991,f153(x142991,f115(f928(x142991,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11554])). % 194.56/194.39 cnf(14304,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x143041,x143042)),x143043),f324(f307(f927(x143044,x143044),f927(x143041,x143042),f258(x143044,x143041,x143044,x143042,x143045,x143046)),f153(x143044,f115(f928(x143044,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(14309,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(f921(x143091),f921(x143091))),f324(f324(f252(f921(x143091),f921(x143091)),f115(x143091)),x143092)),f324(f284(f921(x143091),f921(x143091)),f145(x143091,x143093))))), % 194.56/194.39 inference(rename_variables,[],[11401])). % 194.56/194.39 cnf(14318,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x143181,x143181)),x143182),f263(x143181,f189(f928(x143181,a916)))))), % 194.56/194.39 inference(rename_variables,[],[11163])). % 194.56/194.39 cnf(14336,plain, % 194.56/194.39 (~E(x143361,f324(f324(f151(x143362),x143363),x143361))), % 194.56/194.39 inference(rename_variables,[],[11098])). % 194.56/194.39 cnf(14339,plain, % 194.56/194.39 (P1(f324(f324(f235(a1),f324(f324(f3(a1),x143391),f77(a1))),x143391))), % 194.56/194.39 inference(rename_variables,[],[10982])). % 194.56/194.39 cnf(14362,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x143621,x143621)),x143622),f263(x143621,f189(f928(x143621,a916)))))), % 194.56/194.39 inference(rename_variables,[],[11163])). % 194.56/194.39 cnf(14373,plain, % 194.56/194.39 (~P1(f324(f324(f326(f927(x143731,x143732)),x143733),f324(f307(f927(x143734,x143734),f927(x143731,x143732),f258(x143734,x143731,x143734,x143732,x143735,x143736)),f153(x143734,f115(f928(x143734,a920))))))), % 194.56/194.39 inference(rename_variables,[],[11588])). % 194.56/194.39 cnf(14376,plain, % 194.56/194.39 (~P1(f324(f324(f326(x143761),x143762),f324(f283(x143763,x143761,x143764),f324(f283(x143765,x143763,x143766),f189(f928(x143765,a916))))))), % 194.56/194.39 inference(rename_variables,[],[11519])). % 194.56/194.39 cnf(14410,plain, % 194.56/194.39 (~E(f324(f324(f151(x144101),x144102),x144103),f324(f168(x144101),f115(x144101)))), % 194.56/194.39 inference(rename_variables,[],[13523])). % 194.56/194.39 cnf(14416,plain, % 194.56/194.39 (E(f324(f78(f928(x144161,a916)),f324(f78(f928(x144161,a916)),x144162)),x144162)), % 194.56/194.39 inference(rename_variables,[],[3590])). % 194.56/194.39 cnf(14419,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x144191,a916)),f324(f324(f3(f928(x144191,a916)),x144192),x144193)),x144192))), % 194.56/194.39 inference(rename_variables,[],[4174])). % 194.56/194.39 cnf(14424,plain, % 194.56/194.39 (E(f324(f307(x144241,x144241,f31(x144241)),x144242),x144242)), % 194.56/194.39 inference(rename_variables,[],[3521])). % 194.56/194.39 cnf(14436,plain, % 194.56/194.39 (P1(f324(f324(f234(f928(x144361,a916)),x144362),f324(f324(f112(f928(x144361,a916)),x144363),x144362)))), % 194.56/194.39 inference(rename_variables,[],[4051])). % 194.56/194.39 cnf(14450,plain, % 194.56/194.39 (~E(f324(f324(f151(x144501),x144502),x144503),f324(f168(x144501),f115(x144501)))), % 194.56/194.39 inference(rename_variables,[],[13523])). % 194.56/194.39 cnf(14459,plain, % 194.56/194.39 (P1(f324(f324(f234(a920),x144591),f324(f324(f79(a920),x144592),x144591)))), % 194.56/194.39 inference(rename_variables,[],[3725])). % 194.64/194.39 cnf(14472,plain, % 194.64/194.39 (P1(f324(f324(f234(f928(x144721,a916)),x144722),f324(f324(f112(f928(x144721,a916)),x144723),f242(f928(x144721,a916)))))), % 194.64/194.39 inference(rename_variables,[],[11411])). % 194.64/194.39 cnf(14475,plain, % 194.64/194.39 (~P1(f324(f324(f172(x144751),f324(f136(x144751,x144752),f115(x144751))),x144753))), % 194.64/194.39 inference(rename_variables,[],[12147])). % 194.64/194.39 cnf(14478,plain, % 194.64/194.39 (P1(f324(f324(f234(f928(x144781,a916)),x144782),f324(f324(f112(f928(x144781,a916)),x144783),x144782)))), % 194.64/194.39 inference(rename_variables,[],[4051])). % 194.64/194.39 cnf(14481,plain, % 194.64/194.39 (E(f324(x144811,f324(f91(x144812,x144813,f242(f928(x144812,a916)),x144811),f324(x144811,x144814))),f324(x144811,x144814))), % 194.64/194.39 inference(rename_variables,[],[11305])). % 194.64/194.39 cnf(14488,plain, % 194.64/194.39 (P1(f324(f324(f234(a1),f45(a920,x144881,f189(a920))),x144881))), % 194.64/194.39 inference(rename_variables,[],[12032])). % 194.64/194.39 cnf(14493,plain, % 194.64/194.39 (P1(f324(f324(f234(f928(x144931,a916)),f324(f324(f3(f928(x144931,a916)),x144932),x144933)),x144932))), % 194.64/194.39 inference(rename_variables,[],[4174])). % 194.64/194.39 cnf(14496,plain, % 194.64/194.39 (~P1(f324(f324(f326(x144961),x144962),f324(f283(x144963,x144961,x144964),f324(f283(x144965,x144963,x144966),f189(f928(x144965,a916))))))), % 194.64/194.39 inference(rename_variables,[],[11519])). % 194.64/194.39 cnf(14507,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(x145071,x145072)),x145073),f324(f307(f927(x145074,x145074),f927(x145071,x145072),f258(x145074,x145071,x145074,x145072,x145075,x145076)),f153(x145074,f115(f928(x145074,a920))))))), % 194.64/194.39 inference(rename_variables,[],[11588])). % 194.64/194.39 cnf(14522,plain, % 194.64/194.39 (P1(f324(f324(f235(a1),f324(f324(f3(a1),x145221),f77(a1))),x145221))), % 194.64/194.39 inference(rename_variables,[],[10982])). % 194.64/194.39 cnf(14533,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(f921(x145331),f921(x145331))),f324(f324(f252(f921(x145331),f921(x145331)),x145332),x145333)),f157(x145331,f153(x145331,f115(f928(x145331,a920))))))), % 194.64/194.39 inference(rename_variables,[],[11554])). % 194.64/194.39 cnf(14545,plain, % 194.64/194.39 (P1(f324(f324(f234(a920),x145451),f324(f324(f79(a920),x145452),x145451)))), % 194.64/194.39 inference(rename_variables,[],[3725])). % 194.64/194.39 cnf(14548,plain, % 194.64/194.39 (P1(f324(f324(f234(f928(x145481,a916)),x145482),f324(f324(f112(f928(x145481,a916)),x145483),x145482)))), % 194.64/194.39 inference(rename_variables,[],[4051])). % 194.64/194.39 cnf(14556,plain, % 194.64/194.39 (E(f324(x145561,f324(f91(x145562,x145563,f242(f928(x145562,a916)),x145561),f324(x145561,x145564))),f324(x145561,x145564))), % 194.64/194.39 inference(rename_variables,[],[11305])). % 194.64/194.39 cnf(14562,plain, % 194.64/194.39 (E(f324(f78(f928(x145621,a916)),f324(f78(f928(x145621,a916)),x145622)),x145622)), % 194.64/194.39 inference(rename_variables,[],[3590])). % 194.64/194.39 cnf(14565,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(x145651,x145651)),x145652),f263(x145651,f189(f928(x145651,a916)))))), % 194.64/194.39 inference(rename_variables,[],[11163])). % 194.64/194.39 cnf(14568,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(f921(x145681),f921(x145681))),f324(f324(f252(f921(x145681),f921(x145681)),x145682),x145683)),f157(x145681,f153(x145681,f115(f928(x145681,a920))))))), % 194.64/194.39 inference(rename_variables,[],[11554])). % 194.64/194.39 cnf(14576,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(f921(x145761),f921(x145761))),f324(f324(f252(f921(x145761),f921(x145761)),x145762),x145763)),f157(x145761,f153(x145761,f115(f928(x145761,a920))))))), % 194.64/194.39 inference(rename_variables,[],[11554])). % 194.64/194.39 cnf(14582,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(x145821,x145821)),x145822),f263(x145821,f189(f928(x145821,a916)))))), % 194.64/194.39 inference(rename_variables,[],[11163])). % 194.64/194.39 cnf(14585,plain, % 194.64/194.39 (E(f324(f78(f928(x145851,a916)),f324(f78(f928(x145851,a916)),x145852)),x145852)), % 194.64/194.39 inference(rename_variables,[],[3590])). % 194.64/194.39 cnf(14588,plain, % 194.64/194.39 (~E(f324(f168(x145881),f324(f324(f151(x145881),x145882),x145883)),f115(x145881))), % 194.64/194.39 inference(rename_variables,[],[10681])). % 194.64/194.39 cnf(14591,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(x145911,x145911)),x145912),f263(x145911,f189(f928(x145911,a916)))))), % 194.64/194.39 inference(rename_variables,[],[11163])). % 194.64/194.39 cnf(14628,plain, % 194.64/194.39 (P1(f324(f324(f234(f928(x146281,a916)),f324(f324(f3(f928(x146281,a916)),x146282),x146283)),x146282))), % 194.64/194.39 inference(rename_variables,[],[4174])). % 194.64/194.39 cnf(14633,plain, % 194.64/194.39 (~P1(f324(f324(f326(f927(x146331,x146332)),x146333),f324(f307(f927(x146334,x146334),f927(x146331,x146332),f258(x146334,x146331,x146334,x146332,x146335,x146336)),f153(x146334,f115(f928(x146334,a920))))))), % 194.64/194.39 inference(rename_variables,[],[11588])). % 194.64/194.39 cnf(14666,plain, % 194.64/194.39 (P1(f324(f324(f234(f928(x146661,a916)),f324(f324(f3(f928(x146661,a916)),x146662),x146663)),x146662))), % 194.64/194.39 inference(rename_variables,[],[4174])). % 194.64/194.39 cnf(14704,plain, % 194.64/194.39 ($false), % 194.64/194.39 inference(scs_inference,[],[4014,3590,13922,13932,14416,14562,14585,3968,4427,14125,3372,14024,3725,14181,14459,14545,3701,3418,4151,13952,4066,3992,3912,14260,4636,14069,14102,3521,14424,3925,4018,4664,4174,14419,14493,14628,14666,3556,3465,4083,4051,13989,14436,14478,14548,4457,4661,11181,11448,10681,14588,11432,13296,12746,11279,14036,14201,13523,14270,14410,14450,11390,11535,11401,14309,11452,14220,10926,11459,10520,11098,14055,14336,12751,10618,12147,13919,14049,14082,14194,14292,14475,11763,11175,11557,13927,11305,13809,13814,13843,13865,13871,13901,14235,14481,14556,13579,10762,12805,11554,14033,14250,14299,14533,14568,14576,11588,13874,13877,13880,13886,13889,13892,13976,14164,14209,14304,14373,14507,14633,11519,13799,13862,13883,13895,14376,14496,11579,12238,11465,14007,13318,13483,13235,11163,13898,13966,14002,14253,14318,14362,14565,14582,14591,12352,14019,11153,11166,11109,11421,14109,14114,11438,13992,14052,14064,11257,11148,11483,13955,13641,11411,14472,12709,11444,13625,13707,10625,14289,11104,13106,12168,12522,13256,13599,11486,10800,12435,12544,12783,13830,14225,13036,10433,13671,12024,12470,14178,11114,12101,12206,13221,14085,14204,11446,10921,11024,12290,10982,13941,13963,14044,14215,14339,14522,12083,11747,12032,14141,14191,14488,13659,11320,13284,12535,12577,12133,13021,10894,11101,13822,13825,11367,11765,10578,10721,10516,10819,11916,11974,12449,12087,12127,11072,13034,13635,10573,3122,3409,3460,3955,3668,4687,4367,4700,4160,3908,4892,5575,5672,5673,5842,5899,5908,6146,6190,6218,6241,6392,6622,6651,6690,6980,7036,7464,7877,8073,8129,8130,8131,8871,9040,9163,4729,5179,5368,5369,5545,6887,7219,7220,7732,8974,8975,8991,8992,9589,5265,9399,5502,5839,5924,6520,9773,5895,6066,6440,9602,10119,6235,5198,5364,5365,5540,5754,7340,6524,5336,5426,7106,8672,9479,9637,5457,9794,5171,5725,7060,5696,8601,4842,5183,7023,8366,8809,6466,6521,6386,6956,8115,6532,9938,8846,9940,6236,6397,8973,6522,5489,5886,6927,7930,8632,6899,5800,8630,5958,6407,8536,6464,4836,5312,6517,7403,6463,9764,5456,7476,6478,10131,6286,6063,6382,5695,9105,5371,5477,7529,5313,5455,6215,6567,9340,9774,6064,5392,5470,5339,5487,8611,9599,5439,5378,6326,6433,8112,5395,5488,6211,6516,8671,5542,5360,5834,7336,7788,8730,6921,5554,8578,5828,8690,5262,7501,5191,5614,6167,5744,5938,6523,8699,10024,6380,8768,9700,5048,5648,5708,9830,6284,5192,6399,7093,8545,4886,8818,5388,5451,8190,8563,9963,10130,5916,6003,6261,9215,9502,8697,7586,7932,7576,5677,6879,8762,7492,4733,5000,5032,7701,8884,9415,9471,10156,6232,9635,9775,4885,5520,9894,10247,5251,5252,7327,5321,5353,8827,6576,8621,6230,9799,4844,5584,6669,7059,8476,8767,8972,6267,5320,5909,6120,9416,5843,5550,4914,5384,6955,9594,7607,5363,5654,5966,6111,8863,6943,5943,6639,5974,7941,4707,8151,6415,7137,5825,6395,6346,8976,9706,5440,7879,6619,5558,5099,9837,6327,5884,4983,6260,4792,5715,6599,8494,8905,5033,8409,5905,7996,8909,5753,7035,9426,5697,5757,5881,5676,5836,6969,8757,5469,8021,4835,5123,5959,5598,5727,6782,8635,8961,9231,5740,7310,6918,8999,9248,10118,4787,8609,5197,9454,8633,8208,5681,9636,6062,8081,8225,8781,10333,8559,6234,9884,7547,9290,9216,8766,6954,8224,9398,6431,9883,5121,5893,6255,6682,6898,6878,8908,5922,5062,8634,6082,6924,10028,6108,6805,8719,5622,9075,5599,6412,6725,8692,5501,6194,6877,4840,5190,7853,9183,6084,7655,7865,7251,6886,8206,4820]), % 194.64/194.39 ['proof']). % 194.64/194.39 % SZS output end Proof % 194.64/194.39 % Total time :178.570000s %------------------------------------------------------------------------------