%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW363+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n025.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 18:08:27 EDT 2024 % Result : Theorem 199.88s 200.98s % Output : CNFRefutation 200.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW363+1 : TPTP v8.2.0. Released v5.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jun 19 06:54:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.50/0.57 start to proof:theBenchmark % 199.43/200.79 %------------------------------------------- % 199.43/200.79 % File :CSE---1.7 % 199.43/200.79 % Problem :theBenchmark % 199.43/200.79 % Transform :cnf % 199.43/200.79 % Format :tptp:raw % 199.43/200.79 % Command :java -jar mcs_scs.jar %d %s % 199.43/200.79 % 199.43/200.79 % Result :Theorem 173.400000s % 199.43/200.79 % Output :CNFRefutation 173.400000s % 199.43/200.79 %------------------------------------------- % 199.43/200.80 %------------------------------------------------------------------------------ % 199.43/200.80 % File : SWW363+1 : TPTP v8.2.0. Released v5.2.0. % 199.43/200.80 % Domain : Software Verification % 199.43/200.80 % Problem : Hoare's Logic with Procedures 435435, 5000 axioms selected % 199.43/200.80 % Version : Especial. % 199.43/200.80 % English : % 199.43/200.80 % 199.43/200.80 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 199.43/200.80 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 199.43/200.80 % Source : [Bla11] % 199.43/200.80 % Names : hoare_435435.5000.p [Bla11] % 199.43/200.80 % 199.43/200.80 % Status : ContradictoryAxioms % 199.43/200.80 % Rating : 0.83 v8.2.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.90 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.97 v6.0.0, 0.91 v5.5.0, 1.00 v5.2.0 % 199.43/200.80 % Syntax : Number of formulae : 5229 (1637 unt; 0 def) % 199.43/200.80 % Number of atoms : 12835 (4423 equ) % 199.43/200.80 % Maximal formula atoms : 13 ( 2 avg) % 199.43/200.80 % Number of connectives : 8613 (1007 ~; 154 |; 737 &) % 199.43/200.80 % ( 911 <=>;5804 =>; 0 <=; 0 <~>) % 199.43/200.80 % Maximal formula depth : 22 ( 6 avg) % 199.43/200.80 % Maximal term depth : 19 ( 2 avg) % 199.43/200.80 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty) % 199.43/200.80 % Number of functors : 377 ( 377 usr; 50 con; 0-7 aty) % 199.43/200.80 % Number of variables : 16547 (16395 !; 152 ?) % 199.43/200.80 % SPC : FOF_CAX_RFO_SEQ % 199.43/200.80 % 199.43/200.80 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 199.43/200.80 % 2011-03-01 12:35:41 % 199.43/200.80 %------------------------------------------------------------------------------ % 199.43/200.80 %----Relevant facts (4983) % 199.43/200.80 fof(fact_ext,axiom, % 199.43/200.80 ! [V_g_2,V_f_2] : % 199.43/200.80 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 199.43/200.80 => V_f_2 = V_g_2 ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_assms_I1_J,axiom, % 199.43/200.80 ! [V_G_2,V_ts_2] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2)) % 199.43/200.80 => v_P(V_G_2,V_ts_2) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_assms_I3_J,axiom, % 199.43/200.80 ! [V_G_2,V_c_2] : % 199.43/200.80 ( v_wt(V_c_2) % 199.43/200.80 => ( ! [B_x] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U)) % 199.43/200.80 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) % 199.43/200.80 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_finite__imageI,axiom, % 199.43/200.80 ! [V_h_2,T_c,V_F_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.43/200.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_empty__subsetI,axiom, % 199.43/200.80 ! [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)) ). % 199.43/200.80 % 199.43/200.80 fof(fact_finite_OinsertI,axiom, % 199.43/200.80 ! [V_a_2,V_A_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_finite_OemptyI,axiom, % 199.43/200.80 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.43/200.80 % 199.43/200.80 fof(fact_card__image__le,axiom, % 199.43/200.80 ! [V_f_2,T_c,V_A_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.80 => 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))) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_card__mono,axiom, % 199.43/200.80 ! [V_A_2,V_B_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.43/200.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.80 => 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))) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_card__seteq,axiom, % 199.43/200.80 ! [V_A_2,V_B_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.43/200.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.80 => ( 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))) % 199.43/200.80 => V_A_2 = V_B_2 ) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_card__insert__le,axiom, % 199.43/200.80 ! [V_x_2,V_A_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.80 => 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)))) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_assms_I2_J,axiom, % 199.43/200.80 ! [V_G_2,V_pn_2] : % 199.43/200.80 ( v_P(hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,V_pn_2)),V_G_2),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2)))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) % 199.43/200.80 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,V_pn_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_image__constant__conv,axiom, % 199.43/200.80 ! [V_c_2,T_c,T_b,V_A_2] : % 199.43/200.80 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.80 => 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)) ) % 199.43/200.80 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.80 => 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))) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_Suc__diff__le,axiom, % 199.43/200.80 ! [V_m,V_n] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.43/200.80 => 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)) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_equalityI,axiom, % 199.43/200.80 ! [V_B_2,V_A_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.43/200.80 => V_A_2 = V_B_2 ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_finite__code,axiom, % 199.43/200.80 ! [V_A_2,T_b] : % 199.43/200.80 ( class_Finite__Set_Ofinite(T_b) % 199.43/200.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_finite,axiom, % 199.43/200.80 ! [V_A_2,T_b] : % 199.43/200.80 ( class_Finite__Set_Ofinite(T_b) % 199.43/200.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_insert__code,axiom, % 199.43/200.80 ! [V_x_2,V_A_2,V_y_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 199.43/200.80 <=> ( V_y_2 = V_x_2 % 199.43/200.80 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_insert__commute,axiom, % 199.43/200.80 ! [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)) ). % 199.43/200.80 % 199.43/200.80 fof(fact_insert__absorb2,axiom, % 199.43/200.80 ! [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) ). % 199.43/200.80 % 199.43/200.80 fof(fact_Suc__inject,axiom, % 199.43/200.80 ! [V_y,V_x] : % 199.43/200.80 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 199.43/200.80 => V_x = V_y ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_nat_Oinject,axiom, % 199.43/200.80 ! [V_nat_H_2,V_nat_2] : % 199.43/200.80 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 199.43/200.80 <=> V_nat_2 = V_nat_H_2 ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_Suc__n__not__n,axiom, % 199.43/200.80 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 199.43/200.80 % 199.43/200.80 fof(fact_n__not__Suc__n,axiom, % 199.43/200.80 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 199.43/200.80 % 199.43/200.80 fof(fact_equalityE,axiom, % 199.43/200.80 ! [T_b,V_B_2,V_A_2] : % 199.43/200.80 ( V_A_2 = V_B_2 % 199.43/200.80 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.80 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_subset__trans,axiom, % 199.43/200.80 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.43/200.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_equalityD2,axiom, % 199.43/200.80 ! [T_b,V_B_2,V_A_2] : % 199.43/200.80 ( V_A_2 = V_B_2 % 199.43/200.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_equalityD1,axiom, % 199.43/200.80 ! [T_b,V_B_2,V_A_2] : % 199.43/200.80 ( V_A_2 = V_B_2 % 199.43/200.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_set__eq__subset,axiom, % 199.43/200.80 ! [T_b,V_B_2,V_A_2] : % 199.43/200.80 ( V_A_2 = V_B_2 % 199.43/200.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_subset__refl,axiom, % 199.43/200.80 ! [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)) ). % 199.43/200.80 % 199.43/200.80 fof(fact_le__antisym,axiom, % 199.43/200.80 ! [V_n,V_m] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.43/200.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.43/200.80 => V_m = V_n ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_le__trans,axiom, % 199.43/200.80 ! [V_k,V_j,V_i] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.43/200.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 199.43/200.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_eq__imp__le,axiom, % 199.43/200.80 ! [V_n,V_m] : % 199.43/200.80 ( V_m = V_n % 199.43/200.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_nat__le__linear,axiom, % 199.43/200.80 ! [V_n,V_m] : % 199.43/200.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.43/200.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_le__refl,axiom, % 199.43/200.80 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 199.43/200.80 % 199.43/200.80 fof(fact_diff__commute,axiom, % 199.43/200.80 ! [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) ). % 199.43/200.80 % 199.43/200.80 fof(fact_image__image,axiom, % 199.43/200.80 ! [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) ). % 199.43/200.80 % 199.43/200.80 fof(fact_finite_Oequations_I1_J,axiom, % 199.43/200.80 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.43/200.80 % 199.43/200.80 fof(fact_singleton__inject,axiom, % 199.43/200.80 ! [V_b_2,V_a_2,T_b] : % 199.43/200.80 ( 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))) % 199.43/200.80 => V_a_2 = V_b_2 ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_doubleton__eq__iff,axiom, % 199.43/200.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.43/200.80 ( 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)))) % 199.43/200.80 <=> ( ( V_a_2 = V_c_2 % 199.43/200.80 & V_b_2 = V_d_2 ) % 199.43/200.80 | ( V_a_2 = V_d_2 % 199.43/200.80 & V_b_2 = V_c_2 ) ) ) ). % 199.43/200.80 % 199.43/200.80 fof(fact_insert__not__empty,axiom, % 199.43/200.81 ! [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)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_empty__not__insert,axiom, % 199.43/200.81 ! [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) ). % 199.43/200.81 % 199.43/200.81 fof(fact_finite__insert,axiom, % 199.43/200.81 ! [V_A_2,V_a_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 199.43/200.81 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_subset__empty,axiom, % 199.43/200.81 ! [V_A_2,T_b] : % 199.43/200.81 ( 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)))) % 199.43/200.81 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_image__is__empty,axiom, % 199.43/200.81 ! [V_A_2,V_f_2,T_b,T_c] : % 199.43/200.81 ( 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)) % 199.43/200.81 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_image__empty,axiom, % 199.43/200.81 ! [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)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_empty__is__image,axiom, % 199.43/200.81 ! [V_A_2,V_f_2,T_c,T_b] : % 199.43/200.81 ( 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) % 199.43/200.81 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_finite__subset,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.43/200.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_rev__finite__subset,axiom, % 199.43/200.81 ! [V_A_2,V_B_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insert__mono,axiom, % 199.43/200.81 ! [V_a_2,V_D_2,V_C_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 199.43/200.81 => 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))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_subset__insertI2,axiom, % 199.43/200.81 ! [V_b_2,V_B_2,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.81 => 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))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_subset__insertI,axiom, % 199.43/200.81 ! [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))) ). % 199.43/200.81 % 199.43/200.81 fof(fact_image__insert,axiom, % 199.43/200.81 ! [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)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_image__mono,axiom, % 199.43/200.81 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.81 => 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))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_subset__image__iff,axiom, % 199.43/200.81 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 199.43/200.81 ( 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))) % 199.43/200.81 <=> ? [B_AA] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 199.43/200.81 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Suc__leD,axiom, % 199.43/200.81 ! [V_n,V_m] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_le__SucE,axiom, % 199.43/200.81 ! [V_n,V_m] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 199.43/200.81 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.43/200.81 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_le__SucI,axiom, % 199.43/200.81 ! [V_n,V_m] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Suc__le__mono,axiom, % 199.43/200.81 ! [V_m_2,V_na_2] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Nat_OSuc,V_m_2))) % 199.43/200.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_le__Suc__eq,axiom, % 199.43/200.81 ! [V_na_2,V_m_2] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 199.43/200.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.43/200.81 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_not__less__eq__eq,axiom, % 199.43/200.81 ! [V_na_2,V_m_2] : % 199.43/200.81 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.43/200.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Suc__n__not__le__n,axiom, % 199.43/200.81 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Suc__diff__diff,axiom, % 199.43/200.81 ! [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) ). % 199.43/200.81 % 199.43/200.81 fof(fact_diff__Suc__Suc,axiom, % 199.43/200.81 ! [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) ). % 199.43/200.81 % 199.43/200.81 fof(fact_le__diff__iff,axiom, % 199.43/200.81 ! [V_na_2,V_m_2,V_k_2] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2))) % 199.43/200.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Nat_Odiff__diff__eq,axiom, % 199.43/200.81 ! [V_n,V_m,V_k] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 199.43/200.81 => 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) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_eq__diff__iff,axiom, % 199.43/200.81 ! [V_na_2,V_m_2,V_k_2] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 199.43/200.81 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2) % 199.43/200.81 <=> V_m_2 = V_na_2 ) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_diff__diff__cancel,axiom, % 199.43/200.81 ! [V_n,V_i] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 199.43/200.81 => 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 ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_diff__le__mono,axiom, % 199.43/200.81 ! [V_l,V_n,V_m] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.43/200.81 => 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))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_diff__le__mono2,axiom, % 199.43/200.81 ! [V_l,V_n,V_m] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.43/200.81 => 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))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_diff__le__self,axiom, % 199.43/200.81 ! [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)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_subset__singletonD,axiom, % 199.43/200.81 ! [V_x_2,V_A_2,T_b] : % 199.43/200.81 ( 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))))) % 199.43/200.81 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.81 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_finite__surj,axiom, % 199.43/200.81 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.81 => ( 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))) % 199.43/200.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_assms_I4_J,axiom, % 199.43/200.81 ! [V_pn_2] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U)) % 199.43/200.81 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_the__elem__eq,axiom, % 199.43/200.81 ! [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 ). % 199.43/200.81 % 199.43/200.81 fof(fact_order__refl,axiom, % 199.43/200.81 ! [V_x,T_a] : % 199.43/200.81 ( class_Orderings_Opreorder(T_a) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_bot__fun__def,axiom, % 199.43/200.81 ! [V_x_2,T_c,T_b] : % 199.43/200.81 ( class_Orderings_Obot(T_b) % 199.43/200.81 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_bot__apply,axiom, % 199.43/200.81 ! [V_x_2,T_c,T_b] : % 199.43/200.81 ( class_Orderings_Obot(T_b) % 199.43/200.81 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_le__funE,axiom, % 199.43/200.81 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 199.43/200.81 ( class_Orderings_Oord(T_c) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.43/200.81 => 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))) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_le__funD,axiom, % 199.43/200.81 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 199.43/200.81 ( class_Orderings_Oord(T_c) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.43/200.81 => 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))) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_le__fun__def,axiom, % 199.43/200.81 ! [V_g_2,V_f_2,T_b,T_c] : % 199.43/200.81 ( class_Orderings_Oord(T_c) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.43/200.81 <=> ! [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))) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_diff__eq__diff__less__eq,axiom, % 199.43/200.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.43/200.81 ( class_Groups_Oordered__ab__group__add(T_b) % 199.43/200.81 => ( 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) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 199.43/200.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_bot__least,axiom, % 199.43/200.81 ! [V_x,T_a] : % 199.43/200.81 ( class_Orderings_Obot(T_a) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_folding__one__idem_Osubset__idem,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.43/200.81 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.43/200.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.81 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.43/200.81 => 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) ) ) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_DiffI,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.43/200.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 199.43/200.81 => 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))) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_equalityCE,axiom, % 199.43/200.81 ! [V_c_2,T_b,V_B_2,V_A_2] : % 199.43/200.81 ( V_A_2 = V_B_2 % 199.43/200.81 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.43/200.81 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 199.43/200.81 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_DiffE,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.43/200.81 ( 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))) % 199.43/200.81 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_finite__Diff,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.81 => 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))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_emptyE,axiom, % 199.43/200.81 ! [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)))) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insertE,axiom, % 199.43/200.81 ! [V_A_2,V_b_2,V_a_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 199.43/200.81 => ( V_a_2 != V_b_2 % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insertCI,axiom, % 199.43/200.81 ! [V_b_2,V_B_2,V_a_2,T_b] : % 199.43/200.81 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 199.43/200.81 => V_a_2 = V_b_2 ) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_subsetD,axiom, % 199.43/200.81 ! [V_c_2,V_B_2,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_image__eqI,axiom, % 199.43/200.81 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 199.43/200.81 ( V_b_2 = hAPP(V_f_2,V_x_2) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_mem__def,axiom, % 199.43/200.81 ! [V_A_2,V_x_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.81 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Diff__iff,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.43/200.81 ( 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))) % 199.43/200.81 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.43/200.81 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_eqset__imp__iff,axiom, % 199.43/200.81 ! [V_x_2,T_b,V_B_2,V_A_2] : % 199.43/200.81 ( V_A_2 = V_B_2 % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.81 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_eqelem__imp__iff,axiom, % 199.43/200.81 ! [V_A_2,T_b,V_y_2,V_x_2] : % 199.43/200.81 ( V_x_2 = V_y_2 % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.81 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_eq__mem__trans,axiom, % 199.43/200.81 ! [V_A_2,T_b,V_b_2,V_a_2] : % 199.43/200.81 ( V_a_2 = V_b_2 % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_DiffD1,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.43/200.81 ( 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))) % 199.43/200.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_DiffD2,axiom, % 199.43/200.81 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.43/200.81 ( 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))) % 199.43/200.81 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insert__Diff1,axiom, % 199.43/200.81 ! [V_A_2,V_B_2,V_x_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.43/200.81 => 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) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insert__Diff__if,axiom, % 199.43/200.81 ! [V_A_2,V_B_2,V_x_2,T_b] : % 199.43/200.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.43/200.81 => 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) ) % 199.43/200.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.43/200.81 => 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)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_folding__one__idem_Oidem,axiom, % 199.43/200.81 ! [V_x_2,V_F_2,V_f_2,T_b] : % 199.43/200.81 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.43/200.81 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_folding__one__idem_Oin__idem,axiom, % 199.43/200.81 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.43/200.81 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.43/200.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.81 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Diff__insert__absorb,axiom, % 199.43/200.81 ! [V_A_2,V_x_2,T_b] : % 199.43/200.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.81 => 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 ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insert__Diff,axiom, % 199.43/200.81 ! [V_A_2,V_a_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.43/200.81 => 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 ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_empty__Diff,axiom, % 199.43/200.81 ! [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)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Diff__empty,axiom, % 199.43/200.81 ! [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 ). % 199.43/200.81 % 199.43/200.81 fof(fact_Diff__cancel,axiom, % 199.43/200.81 ! [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)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_finite__Diff2,axiom, % 199.43/200.81 ! [V_A_2,V_B_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.43/200.81 => ( 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))) % 199.43/200.81 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Diff__subset,axiom, % 199.43/200.81 ! [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)) ). % 199.43/200.81 % 199.43/200.81 fof(fact_Diff__mono,axiom, % 199.43/200.81 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 199.43/200.81 => 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))) ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_double__diff,axiom, % 199.43/200.81 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.43/200.81 => 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 ) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_all__not__in__conv,axiom, % 199.43/200.81 ! [V_A_2,T_b] : % 199.43/200.81 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.43/200.81 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_ex__in__conv,axiom, % 199.43/200.81 ! [V_A_2,T_b] : % 199.43/200.81 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.43/200.81 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_empty__iff,axiom, % 199.43/200.81 ! [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)))) ). % 199.43/200.81 % 199.43/200.81 fof(fact_equals0D,axiom, % 199.43/200.81 ! [V_a_2,T_b,V_A_2] : % 199.43/200.81 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.81 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insertI1,axiom, % 199.43/200.81 ! [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))) ). % 199.43/200.81 % 199.43/200.81 fof(fact_insert__iff,axiom, % 199.43/200.81 ! [V_A_2,V_b_2,V_a_2,T_b] : % 199.43/200.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 199.43/200.81 <=> ( V_a_2 = V_b_2 % 199.43/200.82 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_insert__ident,axiom, % 199.43/200.82 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.43/200.82 => ( 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) % 199.43/200.82 <=> V_A_2 = V_B_2 ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_insertI2,axiom, % 199.43/200.82 ! [V_b_2,V_B_2,V_a_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_insert__absorb,axiom, % 199.43/200.82 ! [V_A_2,V_a_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.43/200.82 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_in__mono,axiom, % 199.43/200.82 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_set__rev__mp,axiom, % 199.43/200.82 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_set__mp,axiom, % 199.43/200.82 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_image__iff,axiom, % 199.43/200.82 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.43/200.82 <=> ? [B_x] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.43/200.82 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_imageI,axiom, % 199.43/200.82 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_rev__image__eqI,axiom, % 199.43/200.82 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_subset__insert__iff,axiom, % 199.43/200.82 ! [V_B_2,V_x_2,V_A_2,T_b] : % 199.43/200.82 ( 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))) % 199.43/200.82 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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)) ) % 199.43/200.82 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_diff__single__insert,axiom, % 199.43/200.82 ! [V_B_2,V_x_2,V_A_2,T_b] : % 199.43/200.82 ( 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)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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))) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_Diff__insert,axiom, % 199.43/200.82 ! [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)))) ). % 199.43/200.82 % 199.43/200.82 fof(fact_Diff__insert2,axiom, % 199.43/200.82 ! [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) ). % 199.43/200.82 % 199.43/200.82 fof(fact_insert__Diff__single,axiom, % 199.43/200.82 ! [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) ). % 199.43/200.82 % 199.43/200.82 fof(fact_finite__Diff__insert,axiom, % 199.43/200.82 ! [V_B_2,V_a_2,V_A_2,T_b] : % 199.43/200.82 ( 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)))) % 199.43/200.82 <=> 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))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_image__diff__subset,axiom, % 199.43/200.82 ! [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)))) ). % 199.43/200.82 % 199.43/200.82 fof(fact_singleton__iff,axiom, % 199.43/200.82 ! [V_a_2,V_b_2,T_b] : % 199.43/200.82 ( 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))))) % 199.43/200.82 <=> V_b_2 = V_a_2 ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_singletonE,axiom, % 199.43/200.82 ! [V_a_2,V_b_2,T_b] : % 199.43/200.82 ( 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))))) % 199.43/200.82 => V_b_2 = V_a_2 ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_insert__subset,axiom, % 199.43/200.82 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( 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)) % 199.43/200.82 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.43/200.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_subset__insert,axiom, % 199.43/200.82 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => ( 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))) % 199.43/200.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_insert__image,axiom, % 199.43/200.82 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_card__Suc__Diff1,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_linorder__linear,axiom, % 199.43/200.82 ! [V_y,V_x,T_a] : % 199.43/200.82 ( class_Orderings_Olinorder(T_a) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.43/200.82 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_order__eq__iff,axiom, % 199.43/200.82 ! [V_y_2,V_x_2,T_b] : % 199.43/200.82 ( class_Orderings_Oorder(T_b) % 199.43/200.82 => ( V_x_2 = V_y_2 % 199.43/200.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.43/200.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_order__eq__refl,axiom, % 199.43/200.82 ! [V_y,V_x,T_a] : % 199.43/200.82 ( class_Orderings_Opreorder(T_a) % 199.43/200.82 => ( V_x = V_y % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_order__antisym__conv,axiom, % 199.43/200.82 ! [V_x_2,V_y_2,T_b] : % 199.43/200.82 ( class_Orderings_Oorder(T_b) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.43/200.82 <=> V_x_2 = V_y_2 ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_ord__eq__le__trans,axiom, % 199.43/200.82 ! [V_c,V_b,V_a,T_a] : % 199.43/200.82 ( class_Orderings_Oord(T_a) % 199.43/200.82 => ( V_a = V_b % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_xt1_I3_J,axiom, % 199.43/200.82 ! [V_c,V_b,V_a,T_a] : % 199.43/200.82 ( class_Orderings_Oorder(T_a) % 199.43/200.82 => ( V_a = V_b % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_ord__le__eq__trans,axiom, % 199.43/200.82 ! [V_c,V_b,V_a,T_a] : % 199.43/200.82 ( class_Orderings_Oord(T_a) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.43/200.82 => ( V_b = V_c % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_xt1_I4_J,axiom, % 199.43/200.82 ! [V_c,V_a,V_b,T_a] : % 199.43/200.82 ( class_Orderings_Oorder(T_a) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.43/200.82 => ( V_b = V_c % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_order__antisym,axiom, % 199.43/200.82 ! [V_y,V_x,T_a] : % 199.43/200.82 ( class_Orderings_Oorder(T_a) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.43/200.82 => V_x = V_y ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_order__trans,axiom, % 199.43/200.82 ! [V_z,V_y,V_x,T_a] : % 199.43/200.82 ( class_Orderings_Opreorder(T_a) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_xt1_I5_J,axiom, % 199.43/200.82 ! [V_x,V_y,T_a] : % 199.43/200.82 ( class_Orderings_Oorder(T_a) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.43/200.82 => V_x = V_y ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_xt1_I6_J,axiom, % 199.43/200.82 ! [V_z,V_x,V_y,T_a] : % 199.43/200.82 ( class_Orderings_Oorder(T_a) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_linorder__le__cases,axiom, % 199.43/200.82 ! [V_y,V_x,T_a] : % 199.43/200.82 ( class_Orderings_Olinorder(T_a) % 199.43/200.82 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.43/200.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_diff__eq__diff__eq,axiom, % 199.43/200.82 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.43/200.82 ( class_Groups_Oab__group__add(T_b) % 199.43/200.82 => ( 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) % 199.43/200.82 => ( V_a_2 = V_b_2 % 199.43/200.82 <=> V_c_2 = V_d_2 ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_image__constant,axiom, % 199.43/200.82 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_card__Diff__subset,axiom, % 199.43/200.82 ! [V_A_2,V_B_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.43/200.82 => 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)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_diff__card__le__card__Diff,axiom, % 199.43/200.82 ! [V_A_2,V_B_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.43/200.82 => 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)))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_card__insert__if,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.82 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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) ) % 199.43/200.82 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_card__insert__disjoint,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.82 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => 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)) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_card__insert,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.82 => 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)))))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_card__Diff1__le,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.82 => 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))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.43/200.82 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.43/200.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.82 => 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)) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_pred__subset__eq,axiom, % 199.43/200.82 ! [V_S_2,V_R_2,T_b] : % 199.43/200.82 ( 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))) % 199.43/200.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_bot__empty__eq,axiom, % 199.43/200.82 ! [V_x_2,T_b] : % 199.43/200.82 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 199.43/200.82 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_folding__one_Oremove,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.43/200.82 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.43/200.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.82 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.43/200.82 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 199.43/200.82 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.43/200.82 => 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)))))) ) ) ) ) ) ). % 199.43/200.82 % 199.43/200.82 fof(fact_folding__image__simple_Oremove,axiom, % 199.43/200.82 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.43/200.82 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.43/200.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.43/200.83 => 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)))))) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__one_Oinsert,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.43/200.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.83 => 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)) ) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_card__Diff__singleton__if,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.83 => 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)) ) % 199.43/200.83 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.83 => 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) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_card__Diff__singleton,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.83 => 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)) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_finite__subset__induct,axiom, % 199.43/200.83 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.43/200.83 => ( ! [B_a,B_F] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.43/200.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 199.43/200.83 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 199.43/200.83 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 199.43/200.83 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_the__elem__def,axiom, % 199.43/200.83 ! [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))))) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__one__idem_Ohom__commute,axiom, % 199.43/200.83 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.43/200.83 => ( ! [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)) % 199.43/200.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.43/200.83 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.83 => 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)) ) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__one_Oinsert__remove,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.43/200.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.43/200.83 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.43/200.83 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.43/200.83 => 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)))))) ) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.43/200.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.43/200.83 => 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)))))) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_Diff__idemp,axiom, % 199.43/200.83 ! [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) ). % 199.43/200.83 % 199.43/200.83 fof(fact_one__reorient,axiom, % 199.43/200.83 ! [V_x_2,T_b] : % 199.43/200.83 ( class_Groups_Oone(T_b) % 199.43/200.83 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 199.43/200.83 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__image__simple_Oempty,axiom, % 199.43/200.83 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.43/200.83 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_diff__Suc__1,axiom, % 199.43/200.83 ! [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 ). % 199.43/200.83 % 199.43/200.83 fof(fact_diff__Suc__eq__diff__pred,axiom, % 199.43/200.83 ! [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) ). % 199.43/200.83 % 199.43/200.83 fof(fact_eq__mem,axiom, % 199.43/200.83 ! [V_y_2,V_x_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 199.43/200.83 <=> V_x_2 = V_y_2 ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_predicate1D,axiom, % 199.43/200.83 ! [V_x_2,V_Q_2,V_Pa_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 199.43/200.83 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.43/200.83 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_rev__predicate1D,axiom, % 199.43/200.83 ! [V_Q_2,T_b,V_x_2,V_Pa_2] : % 199.43/200.83 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 199.43/200.83 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__one_Osingleton,axiom, % 199.43/200.83 ! [V_x_2,V_F_2,V_f_2,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.43/200.83 => 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 ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_pred__equals__eq,axiom, % 199.43/200.83 ! [V_S_2,V_R_2,T_b] : % 199.43/200.83 ( 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) % 199.43/200.83 <=> V_R_2 = V_S_2 ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_card__Diff__insert,axiom, % 199.43/200.83 ! [V_B_2,V_a_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.43/200.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 199.43/200.83 => 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)) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__image__simple_Oinsert,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.43/200.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.43/200.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.43/200.83 => 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)) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_fun__diff__def,axiom, % 199.43/200.83 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.43/200.83 ( class_Groups_Ominus(T_b) % 199.43/200.83 => 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)) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_flat__lub__def,axiom, % 199.43/200.83 ! [V_b_2,V_A_2,T_b] : % 199.43/200.83 ( ( 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))))) % 199.43/200.83 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 199.43/200.83 & ( ~ 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))))) % 199.43/200.83 => 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)))))) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_card_Oremove,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.83 => 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)))))) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_minus__apply,axiom, % 199.43/200.83 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.43/200.83 ( class_Groups_Ominus(T_b) % 199.43/200.83 => 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)) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_folding__one_Oclosed,axiom, % 199.43/200.83 ! [V_A_2,V_F_2,V_f_2,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.43/200.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.43/200.83 => ( ! [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)))))) % 199.43/200.83 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_card_Oinsert__remove,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => 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)))))) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_card__Diff2__less,axiom, % 199.43/200.83 ! [V_y_2,V_x_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.43/200.83 => 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))) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_card__Diff1__less,axiom, % 199.43/200.83 ! [V_x_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.43/200.83 => 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))) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_finite__empty__induct,axiom, % 199.43/200.83 ! [V_Pa_2,V_A_2,T_b] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.43/200.83 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 199.43/200.83 => ( ! [B_a,B_A] : % 199.43/200.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 199.43/200.83 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 199.43/200.83 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 199.43/200.83 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_fun__left__comm__idem__remove,axiom, % 199.43/200.83 ! [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))))) ). % 199.43/200.83 % 199.43/200.83 fof(fact_the__sym__eq__trivial,axiom, % 199.43/200.83 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 199.43/200.83 % 199.43/200.83 fof(fact_lessI,axiom, % 199.43/200.83 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 199.43/200.83 % 199.43/200.83 fof(fact_Suc__mono,axiom, % 199.43/200.83 ! [V_n,V_m] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.43/200.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 199.43/200.83 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 199.43/200.83 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.43/200.83 => 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) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_less__not__refl,axiom, % 199.43/200.83 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 199.43/200.83 % 199.43/200.83 fof(fact_not__add__less1,axiom, % 199.43/200.83 ! [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)) ). % 199.43/200.83 % 199.43/200.83 fof(fact_not__add__less2,axiom, % 199.43/200.83 ! [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)) ). % 199.43/200.83 % 199.43/200.83 fof(fact_nat__neq__iff,axiom, % 199.43/200.83 ! [V_na_2,V_m_2] : % 199.43/200.83 ( V_m_2 != V_na_2 % 199.43/200.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.43/200.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_nat__add__commute,axiom, % 199.43/200.83 ! [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) ). % 199.43/200.83 % 199.43/200.83 fof(fact_nat__add__left__commute,axiom, % 199.43/200.83 ! [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)) ). % 199.43/200.83 % 199.43/200.83 fof(fact_nat__add__assoc,axiom, % 199.43/200.83 ! [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)) ). % 199.43/200.83 % 199.43/200.83 fof(fact_nat__add__left__cancel,axiom, % 199.43/200.83 ! [V_na_2,V_m_2,V_k_2] : % 199.43/200.83 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2) % 199.43/200.83 <=> V_m_2 = V_na_2 ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_nat__add__right__cancel,axiom, % 199.43/200.83 ! [V_na_2,V_k_2,V_m_2] : % 199.43/200.83 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2) % 199.43/200.83 <=> V_m_2 = V_na_2 ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_nat__add__left__cancel__less,axiom, % 199.43/200.83 ! [V_na_2,V_m_2,V_k_2] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2))) % 199.43/200.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_linorder__neqE__nat,axiom, % 199.43/200.83 ! [V_y,V_x] : % 199.43/200.83 ( V_x != V_y % 199.43/200.83 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 199.43/200.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_less__irrefl__nat,axiom, % 199.43/200.83 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 199.43/200.83 % 199.43/200.83 fof(fact_less__not__refl2,axiom, % 199.43/200.83 ! [V_m,V_n] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 199.43/200.83 => V_m != V_n ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_less__not__refl3,axiom, % 199.43/200.83 ! [V_t,V_s] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 199.43/200.83 => V_s != V_t ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_trans__less__add1,axiom, % 199.43/200.83 ! [V_m,V_j,V_i] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.43/200.83 => 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))) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_trans__less__add2,axiom, % 199.43/200.83 ! [V_m,V_j,V_i] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.43/200.83 => 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))) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_add__less__mono1,axiom, % 199.43/200.83 ! [V_k,V_j,V_i] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.43/200.83 => 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))) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_add__less__mono,axiom, % 199.43/200.83 ! [V_l,V_k,V_j,V_i] : % 199.43/200.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.43/200.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 199.43/200.83 => 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))) ) ) ). % 199.43/200.83 % 199.43/200.83 fof(fact_less__add__eq__less,axiom, % 199.43/200.83 ! [V_n,V_m,V_l,V_k] : % 199.43/200.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 199.43/200.84 => ( 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) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__lessD1,axiom, % 199.43/200.84 ! [V_k,V_j,V_i] : % 199.43/200.84 ( 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)) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_nat__less__cases,axiom, % 199.43/200.84 ! [V_Pa_2,V_na_2,V_m_2] : % 199.43/200.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.43/200.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 199.43/200.84 => ( ( V_m_2 = V_na_2 % 199.43/200.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 199.43/200.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 199.43/200.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 199.43/200.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__irrefl,axiom, % 199.43/200.84 ! [V_x,T_a] : % 199.43/200.84 ( class_Orderings_Opreorder(T_a) % 199.43/200.84 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__neq__iff,axiom, % 199.43/200.84 ! [V_y_2,V_x_2,T_b] : % 199.43/200.84 ( class_Orderings_Olinorder(T_b) % 199.43/200.84 => ( V_x_2 != V_y_2 % 199.43/200.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.43/200.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_not__less__iff__gr__or__eq,axiom, % 199.43/200.84 ! [V_y_2,V_x_2,T_b] : % 199.43/200.84 ( class_Orderings_Olinorder(T_b) % 199.43/200.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.43/200.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 199.43/200.84 | V_x_2 = V_y_2 ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__less__linear,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Olinorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 | V_x = V_y % 199.43/200.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oab__semigroup__add(T_a) % 199.43/200.84 => 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)) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__left__cancel,axiom, % 199.43/200.84 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.43/200.84 ( class_Groups_Ocancel__semigroup__add(T_b) % 199.43/200.84 => ( 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) % 199.43/200.84 <=> V_b_2 = V_c_2 ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__right__cancel,axiom, % 199.43/200.84 ! [V_c_2,V_a_2,V_b_2,T_b] : % 199.43/200.84 ( class_Groups_Ocancel__semigroup__add(T_b) % 199.43/200.84 => ( 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) % 199.43/200.84 <=> V_b_2 = V_c_2 ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__less__cancel__right,axiom, % 199.43/200.84 ! [V_b_2,V_c_2,V_a_2,T_b] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.43/200.84 => ( 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))) % 199.43/200.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__less__cancel__left,axiom, % 199.43/200.84 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.43/200.84 => ( 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))) % 199.43/200.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__antisym__conv3,axiom, % 199.43/200.84 ! [V_x_2,V_y_2,T_b] : % 199.43/200.84 ( class_Orderings_Olinorder(T_b) % 199.43/200.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 199.43/200.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.43/200.84 <=> V_x_2 = V_y_2 ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__neqE,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Olinorder(T_a) % 199.43/200.84 => ( V_x != V_y % 199.43/200.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_less__imp__neq,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Oorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => V_x != V_y ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__not__sym,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Opreorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__imp__not__less,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Opreorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__imp__not__eq,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Oorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => V_x != V_y ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__imp__not__eq2,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Oorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => V_y != V_x ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__strict__right__mono,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.43/200.84 => 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))) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__strict__left__mono,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.43/200.84 => 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))) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__asym_H,axiom, % 199.43/200.84 ! [V_b,V_a,T_a] : % 199.43/200.84 ( class_Orderings_Opreorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.43/200.84 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_xt1_I9_J,axiom, % 199.43/200.84 ! [V_a,V_b,T_a] : % 199.43/200.84 ( class_Orderings_Oorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.43/200.84 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_ord__eq__less__trans,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Orderings_Oord(T_a) % 199.43/200.84 => ( V_a = V_b % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_xt1_I1_J,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Orderings_Oorder(T_a) % 199.43/200.84 => ( V_a = V_b % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_ord__less__eq__trans,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Orderings_Oord(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.43/200.84 => ( V_b = V_c % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_xt1_I2_J,axiom, % 199.43/200.84 ! [V_c,V_a,V_b,T_a] : % 199.43/200.84 ( class_Orderings_Oorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.43/200.84 => ( V_b = V_c % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__trans,axiom, % 199.43/200.84 ! [V_z,V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Opreorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_xt1_I10_J,axiom, % 199.43/200.84 ! [V_z,V_x,V_y,T_a] : % 199.43/200.84 ( class_Orderings_Oorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__strict__mono,axiom, % 199.43/200.84 ! [V_d,V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.43/200.84 => 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))) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__asym,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Opreorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__left__imp__eq,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Ocancel__semigroup__add(T_a) % 199.43/200.84 => ( 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) % 199.43/200.84 => V_b = V_c ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__imp__eq,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 199.43/200.84 => ( 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) % 199.43/200.84 => V_b = V_c ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__right__imp__eq,axiom, % 199.43/200.84 ! [V_c,V_a,V_b,T_a] : % 199.43/200.84 ( class_Groups_Ocancel__semigroup__add(T_a) % 199.43/200.84 => ( 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) % 199.43/200.84 => V_b = V_c ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__less__imp__less__right,axiom, % 199.43/200.84 ! [V_b,V_c,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.43/200.84 => ( 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))) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__less__imp__less__left,axiom, % 199.43/200.84 ! [V_b,V_a,V_c,T_a] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.43/200.84 => ( 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))) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__cases,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Olinorder(T_a) % 199.43/200.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.43/200.84 => ( V_x != V_y % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__less__le__mono,axiom, % 199.43/200.84 ! [V_d,V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.43/200.84 => 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))) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__le__less__mono,axiom, % 199.43/200.84 ! [V_d,V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.43/200.84 => 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))) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_less__iff__Suc__add,axiom, % 199.43/200.84 ! [V_na_2,V_m_2] : % 199.43/200.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.43/200.84 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_less__add__Suc2,axiom, % 199.43/200.84 ! [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)))) ). % 199.43/200.84 % 199.43/200.84 fof(fact_less__add__Suc1,axiom, % 199.43/200.84 ! [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)))) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__diff__inverse,axiom, % 199.43/200.84 ! [V_n,V_m] : % 199.43/200.84 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.43/200.84 => 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 ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_less__diff__conv,axiom, % 199.43/200.84 ! [V_k_2,V_j_2,V_i_2] : % 199.43/200.84 ( 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))) % 199.43/200.84 <=> 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)) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 199.43/200.84 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.43/200.84 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.43/200.84 => 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)) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__le__cancel__right,axiom, % 199.43/200.84 ! [V_b_2,V_c_2,V_a_2,T_b] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.43/200.84 => ( 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))) % 199.43/200.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__le__cancel__left,axiom, % 199.43/200.84 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.43/200.84 => ( 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))) % 199.43/200.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__right__mono,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.43/200.84 => 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))) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__left__mono,axiom, % 199.43/200.84 ! [V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.43/200.84 => 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))) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__mono,axiom, % 199.43/200.84 ! [V_d,V_c,V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.43/200.84 => 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))) ) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__le__imp__le__right,axiom, % 199.43/200.84 ! [V_b,V_c,V_a,T_a] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.43/200.84 => ( 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))) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__le__imp__le__left,axiom, % 199.43/200.84 ! [V_b,V_a,V_c,T_a] : % 199.43/200.84 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.43/200.84 => ( 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))) % 199.43/200.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_diff__add__cancel,axiom, % 199.43/200.84 ! [V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Ogroup__add(T_a) % 199.43/200.84 => 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 ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_add__diff__cancel,axiom, % 199.43/200.84 ! [V_b,V_a,T_a] : % 199.43/200.84 ( class_Groups_Ogroup__add(T_a) % 199.43/200.84 => 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 ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__not__less,axiom, % 199.43/200.84 ! [V_y_2,V_x_2,T_b] : % 199.43/200.84 ( class_Orderings_Olinorder(T_b) % 199.43/200.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.43/200.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__not__le,axiom, % 199.43/200.84 ! [V_y_2,V_x_2,T_b] : % 199.43/200.84 ( class_Orderings_Olinorder(T_b) % 199.43/200.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.43/200.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_linorder__le__less__linear,axiom, % 199.43/200.84 ! [V_y,V_x,T_a] : % 199.43/200.84 ( class_Orderings_Olinorder(T_a) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.43/200.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.43/200.84 % 199.43/200.84 fof(fact_order__less__le,axiom, % 199.43/200.84 ! [V_y_2,V_x_2,T_b] : % 199.43/200.84 ( class_Orderings_Oorder(T_b) % 199.43/200.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.43/200.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.43/200.85 & V_x_2 != V_y_2 ) ) ) ). % 199.43/200.85 % 199.43/200.85 fof(fact_less__le__not__le,axiom, % 199.43/200.85 ! [V_y_2,V_x_2,T_b] : % 199.43/200.85 ( class_Orderings_Opreorder(T_b) % 199.43/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.43/200.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.43/200.85 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 199.43/200.85 % 199.43/200.85 fof(fact_order__le__less,axiom, % 199.43/200.85 ! [V_y_2,V_x_2,T_b] : % 199.43/200.85 ( class_Orderings_Oorder(T_b) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.59/200.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.59/200.85 | V_x_2 = V_y_2 ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_leI,axiom, % 199.59/200.85 ! [V_y,V_x,T_a] : % 199.59/200.85 ( class_Orderings_Olinorder(T_a) % 199.59/200.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_not__leE,axiom, % 199.59/200.85 ! [V_x,V_y,T_a] : % 199.59/200.85 ( class_Orderings_Olinorder(T_a) % 199.59/200.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_linorder__antisym__conv1,axiom, % 199.59/200.85 ! [V_y_2,V_x_2,T_b] : % 199.59/200.85 ( class_Orderings_Olinorder(T_b) % 199.59/200.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.59/200.85 <=> V_x_2 = V_y_2 ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_order__neq__le__trans,axiom, % 199.59/200.85 ! [V_b,V_a,T_a] : % 199.59/200.85 ( class_Orderings_Oorder(T_a) % 199.59/200.85 => ( V_a != V_b % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_xt1_I12_J,axiom, % 199.59/200.85 ! [V_b,V_a,T_a] : % 199.59/200.85 ( class_Orderings_Oorder(T_a) % 199.59/200.85 => ( V_a != V_b % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_leD,axiom, % 199.59/200.85 ! [V_x,V_y,T_a] : % 199.59/200.85 ( class_Orderings_Olinorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.59/200.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_order__less__imp__le,axiom, % 199.59/200.85 ! [V_y,V_x,T_a] : % 199.59/200.85 ( class_Orderings_Opreorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_linorder__antisym__conv2,axiom, % 199.59/200.85 ! [V_y_2,V_x_2,T_b] : % 199.59/200.85 ( class_Orderings_Olinorder(T_b) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.59/200.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.59/200.85 <=> V_x_2 = V_y_2 ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_order__le__imp__less__or__eq,axiom, % 199.59/200.85 ! [V_y,V_x,T_a] : % 199.59/200.85 ( class_Orderings_Oorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.59/200.85 | V_x = V_y ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_order__le__neq__trans,axiom, % 199.59/200.85 ! [V_b,V_a,T_a] : % 199.59/200.85 ( class_Orderings_Oorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.85 => ( V_a != V_b % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_xt1_I11_J,axiom, % 199.59/200.85 ! [V_a,V_b,T_a] : % 199.59/200.85 ( class_Orderings_Oorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.59/200.85 => ( V_a != V_b % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_order__less__le__trans,axiom, % 199.59/200.85 ! [V_z,V_y,V_x,T_a] : % 199.59/200.85 ( class_Orderings_Opreorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_xt1_I7_J,axiom, % 199.59/200.85 ! [V_z,V_x,V_y,T_a] : % 199.59/200.85 ( class_Orderings_Oorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_order__le__less__trans,axiom, % 199.59/200.85 ! [V_z,V_y,V_x,T_a] : % 199.59/200.85 ( class_Orderings_Opreorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_xt1_I8_J,axiom, % 199.59/200.85 ! [V_z,V_x,V_y,T_a] : % 199.59/200.85 ( class_Orderings_Oorder(T_a) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__eq__diff__less,axiom, % 199.59/200.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.59/200.85 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.85 => ( 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) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 199.59/200.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__Suc__right,axiom, % 199.59/200.85 ! [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)) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__Suc,axiom, % 199.59/200.85 ! [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)) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__Suc__shift,axiom, % 199.59/200.85 ! [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)) ). % 199.59/200.85 % 199.59/200.85 fof(fact_not__less__eq,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__Suc__eq,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 199.59/200.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 | V_m_2 = V_na_2 ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_Suc__less__eq,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2))) % 199.59/200.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_not__less__less__Suc__eq,axiom, % 199.59/200.85 ! [V_m_2,V_na_2] : % 199.59/200.85 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 199.59/200.85 <=> V_na_2 = V_m_2 ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__antisym,axiom, % 199.59/200.85 ! [V_m,V_n] : % 199.59/200.85 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 199.59/200.85 => V_m = V_n ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__SucI,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_Suc__lessI,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__trans__Suc,axiom, % 199.59/200.85 ! [V_k,V_j,V_i] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__SucE,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 199.59/200.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => V_m = V_n ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_Suc__lessD,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_Suc__less__SucD,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__add2,axiom, % 199.59/200.85 ! [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))) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__add1,axiom, % 199.59/200.85 ! [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))) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__iff__add,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_nat__add__left__cancel__le,axiom, % 199.59/200.85 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2))) % 199.59/200.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_trans__le__add1,axiom, % 199.59/200.85 ! [V_m,V_j,V_i] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.85 => 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))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_trans__le__add2,axiom, % 199.59/200.85 ! [V_m,V_j,V_i] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.85 => 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))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__le__mono1,axiom, % 199.59/200.85 ! [V_k,V_j,V_i] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.85 => 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))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__le__mono,axiom, % 199.59/200.85 ! [V_l,V_k,V_j,V_i] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 199.59/200.85 => 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))) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__leD2,axiom, % 199.59/200.85 ! [V_n,V_k,V_m] : % 199.59/200.85 ( 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)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__leD1,axiom, % 199.59/200.85 ! [V_n,V_k,V_m] : % 199.59/200.85 ( 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)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__leE,axiom, % 199.59/200.85 ! [V_n,V_k,V_m] : % 199.59/200.85 ( 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)) % 199.59/200.85 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__add__inverse2,axiom, % 199.59/200.85 ! [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 ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__add__inverse,axiom, % 199.59/200.85 ! [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 ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__diff__left,axiom, % 199.59/200.85 ! [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)) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__cancel,axiom, % 199.59/200.85 ! [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) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__cancel2,axiom, % 199.59/200.85 ! [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) ). % 199.59/200.85 % 199.59/200.85 fof(fact_nat__less__le,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 & V_m_2 != V_na_2 ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__eq__less__or__eq,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 | V_m_2 = V_na_2 ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__imp__le__nat,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__neq__implies__less,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => ( V_m != V_n % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__or__eq__imp__le,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 | V_m = V_n ) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__imp__diff__less,axiom, % 199.59/200.85 ! [V_n,V_k,V_j] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 199.59/200.85 => 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)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__less__mono2,axiom, % 199.59/200.85 ! [V_l,V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 199.59/200.85 => 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))) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_fun__left__comm__idem__insert,axiom, % 199.59/200.85 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__eq__Suc__le,axiom, % 199.59/200.85 ! [V_m_2,V_na_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 199.59/200.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_less__Suc__eq__le,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 199.59/200.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_Suc__le__eq,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 199.59/200.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__imp__less__Suc,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_Suc__leI,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__less__Suc__eq,axiom, % 199.59/200.85 ! [V_na_2,V_m_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.59/200.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 199.59/200.85 <=> V_na_2 = V_m_2 ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_Suc__le__lessD,axiom, % 199.59/200.85 ! [V_n,V_m] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 199.59/200.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__diff__right,axiom, % 199.59/200.85 ! [V_i,V_j,V_k] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.59/200.85 => 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) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__diff__conv,axiom, % 199.59/200.85 ! [V_i_2,V_k_2,V_j_2] : % 199.59/200.85 ( 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)) % 199.59/200.85 <=> 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))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__add__diff,axiom, % 199.59/200.85 ! [V_m,V_n,V_k] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 199.59/200.85 => 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))) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__add__diff__inverse,axiom, % 199.59/200.85 ! [V_m,V_n] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.59/200.85 => 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 ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__diff__assoc,axiom, % 199.59/200.85 ! [V_i,V_j,V_k] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.59/200.85 => 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) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__diff__conv2,axiom, % 199.59/200.85 ! [V_i_2,V_j_2,V_k_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 199.59/200.85 => ( 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))) % 199.59/200.85 <=> 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)) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__add__diff__inverse2,axiom, % 199.59/200.85 ! [V_m,V_n] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.59/200.85 => 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 ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_le__imp__diff__is__add,axiom, % 199.59/200.85 ! [V_k_2,V_j_2,V_i_2] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.59/200.85 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 199.59/200.85 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__add__assoc,axiom, % 199.59/200.85 ! [V_i,V_j,V_k] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.59/200.85 => 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)) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_add__diff__assoc2,axiom, % 199.59/200.85 ! [V_i,V_j,V_k] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.59/200.85 => 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) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__add__assoc2,axiom, % 199.59/200.85 ! [V_i,V_j,V_k] : % 199.59/200.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.59/200.85 => 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) ) ). % 199.59/200.85 % 199.59/200.85 fof(fact_diff__less__Suc,axiom, % 199.59/200.85 ! [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))) ). % 199.59/200.85 % 199.59/200.86 fof(fact_Suc__eq__plus1,axiom, % 199.59/200.86 ! [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)) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Suc__eq__plus1__left,axiom, % 199.59/200.86 ! [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) ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__less__mono,axiom, % 199.59/200.86 ! [V_c,V_b,V_a] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 199.59/200.86 => 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))) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__diff__iff,axiom, % 199.59/200.86 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2))) % 199.59/200.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__eq__Suc__le__raw,axiom, % 199.59/200.86 ! [V_na_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__Suc__diff__eq1,axiom, % 199.59/200.86 ! [V_m,V_j,V_k] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.59/200.86 => 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)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__Suc__diff__eq2,axiom, % 199.59/200.86 ! [V_m,V_j,V_k] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.59/200.86 => 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)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_card_Oinsert,axiom, % 199.59/200.86 ! [V_x_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => 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)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_the__eq__trivial,axiom, % 199.59/200.86 ! [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 ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__add__one,axiom, % 199.59/200.86 ! [V_a,T_a] : % 199.59/200.86 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.86 => 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)))) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_termination__basic__simps_I3_J,axiom, % 199.59/200.86 ! [V_z,V_y,V_x] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 199.59/200.86 => 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))) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_termination__basic__simps_I4_J,axiom, % 199.59/200.86 ! [V_y,V_z,V_x] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 199.59/200.86 => 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))) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_termination__basic__simps_I5_J,axiom, % 199.59/200.86 ! [V_y,V_x] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_termination__basic__simps_I2_J,axiom, % 199.59/200.86 ! [V_y,V_z,V_x] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 199.59/200.86 => 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))) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_termination__basic__simps_I1_J,axiom, % 199.59/200.86 ! [V_z,V_y,V_x] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 199.59/200.86 => 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))) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 199.59/200.86 ! [V_na_2,V_m_2] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 199.59/200.86 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_card__Plus,axiom, % 199.59/200.86 ! [V_B_2,T_c,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.59/200.86 => 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)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_psubset__insert__iff,axiom, % 199.59/200.86 ! [V_B_2,V_x_2,V_A_2,T_b] : % 199.59/200.86 ( 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))) % 199.59/200.86 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 199.59/200.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.59/200.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => 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)) ) % 199.59/200.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.59/200.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.59/200.86 => 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) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 199.59/200.86 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.59/200.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.59/200.86 => 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)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_psubset__trans,axiom, % 199.59/200.86 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_folding__image__simple__idem_Oidem,axiom, % 199.59/200.86 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.59/200.86 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__fun__def,axiom, % 199.59/200.86 ! [V_g_2,V_f_2,T_b,T_c] : % 199.59/200.86 ( class_Orderings_Oord(T_c) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.59/200.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.59/200.86 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_psubsetD,axiom, % 199.59/200.86 ! [V_c_2,V_B_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_not__psubset__empty,axiom, % 199.59/200.86 ! [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)))) ). % 199.59/200.86 % 199.59/200.86 fof(fact_subset__psubset__trans,axiom, % 199.59/200.86 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_psubset__subset__trans,axiom, % 199.59/200.86 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_psubset__imp__subset,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_subset__iff__psubset__eq,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 | V_A_2 = V_B_2 ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_psubset__eq,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 & V_A_2 != V_B_2 ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_finite__PlusD_I2_J,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,T_c,T_b] : % 199.59/200.86 ( 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))) % 199.59/200.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_finite__PlusD_I1_J,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,T_c,T_b] : % 199.59/200.86 ( 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))) % 199.59/200.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_finite__Plus,axiom, % 199.59/200.86 ! [V_B_2,T_c,V_A_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.59/200.86 => 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))) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_finite__Plus__iff,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,T_c,T_b] : % 199.59/200.86 ( 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))) % 199.59/200.86 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_nat__case__Suc,axiom, % 199.59/200.86 ! [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) ). % 199.59/200.86 % 199.59/200.86 fof(fact_psubset__card__mono,axiom, % 199.59/200.86 ! [V_A_2,V_B_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => 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))) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_linorder__neqE__linordered__idom,axiom, % 199.59/200.86 ! [V_y,V_x,T_a] : % 199.59/200.86 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.86 => ( V_x != V_y % 199.59/200.86 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_card__psubset,axiom, % 199.59/200.86 ! [V_A_2,V_B_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => ( 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))) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 199.59/200.86 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.59/200.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.59/200.86 => 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) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Plus__eq__empty__conv,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,T_c,T_b] : % 199.59/200.86 ( 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)) % 199.59/200.86 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.86 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_card__Plus__conv__if,axiom, % 199.59/200.86 ! [V_B_2,T_c,V_A_2,T_b] : % 199.59/200.86 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 199.59/200.86 => 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)) ) % 199.59/200.86 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 199.59/200.86 => 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) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_finite__induct,axiom, % 199.59/200.86 ! [V_Pa_2,V_F_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.59/200.86 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.59/200.86 => ( ! [B_x,B_F] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 199.59/200.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 199.59/200.86 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 199.59/200.86 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 199.59/200.86 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 199.59/200.86 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => ( 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) % 199.59/200.86 => 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)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Diff1__fold__graph,axiom, % 199.59/200.86 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( 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)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => 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))) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_image__ident,axiom, % 199.59/200.86 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 199.59/200.86 % 199.59/200.86 fof(fact_card__inj__on__le,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.86 => ( 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)) % 199.59/200.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.59/200.86 => 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))) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__eq__if,axiom, % 199.59/200.86 ! [V_n,V_m] : % 199.59/200.86 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 199.59/200.86 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 => 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)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Suc__diff__1,axiom, % 199.59/200.86 ! [V_n] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.59/200.86 => 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 ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Suc__pred_H,axiom, % 199.59/200.86 ! [V_n] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.59/200.86 => 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))) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__zeroE,axiom, % 199.59/200.86 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.59/200.86 % 199.59/200.86 fof(fact_le0,axiom, % 199.59/200.86 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__empty,axiom, % 199.59/200.86 ! [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))) ). % 199.59/200.86 % 199.59/200.86 fof(fact_zero__less__Suc,axiom, % 199.59/200.86 ! [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))) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__contraD,axiom, % 199.59/200.86 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.86 => ( V_x_2 != V_y_2 % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.59/200.86 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__iff,axiom, % 199.59/200.86 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.59/200.86 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.59/200.86 <=> V_x_2 = V_y_2 ) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__onD,axiom, % 199.59/200.86 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.86 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.59/200.86 => V_x_2 = V_y_2 ) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__def,axiom, % 199.59/200.86 ! [V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.86 <=> ! [B_x] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.59/200.86 => ! [B_xa] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.59/200.86 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 199.59/200.86 => B_x = B_xa ) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__id2,axiom, % 199.59/200.86 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 199.59/200.86 % 199.59/200.86 fof(fact_zero__reorient,axiom, % 199.59/200.86 ! [V_x_2,T_b] : % 199.59/200.86 ( class_Groups_Ozero(T_b) % 199.59/200.86 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 199.59/200.86 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_bot__nat__def,axiom, % 199.59/200.86 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.86 % 199.59/200.86 fof(fact_subset__inj__on,axiom, % 199.59/200.86 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__diff,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.86 => 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)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__Suc,axiom, % 199.59/200.86 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 199.59/200.86 % 199.59/200.86 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 199.59/200.86 ! [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) ). % 199.59/200.86 % 199.59/200.86 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 199.59/200.86 ! [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) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__0__left,axiom, % 199.59/200.86 ! [V_a,T_a] : % 199.59/200.86 ( class_Groups_Omonoid__add(T_a) % 199.59/200.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__0,axiom, % 199.59/200.86 ! [V_a,T_a] : % 199.59/200.86 ( class_Groups_Ocomm__monoid__add(T_a) % 199.59/200.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_double__zero__sym,axiom, % 199.59/200.86 ! [V_a_2,T_b] : % 199.59/200.86 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.86 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 199.59/200.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__0__right,axiom, % 199.59/200.86 ! [V_a,T_a] : % 199.59/200.86 ( class_Groups_Omonoid__add(T_a) % 199.59/200.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add_Ocomm__neutral,axiom, % 199.59/200.86 ! [V_a,T_a] : % 199.59/200.86 ( class_Groups_Ocomm__monoid__add(T_a) % 199.59/200.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__0__right,axiom, % 199.59/200.86 ! [V_a,T_a] : % 199.59/200.86 ( class_Groups_Ogroup__add(T_a) % 199.59/200.86 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__self,axiom, % 199.59/200.86 ! [V_a,T_a] : % 199.59/200.86 ( class_Groups_Ogroup__add(T_a) % 199.59/200.86 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_eq__iff__diff__eq__0,axiom, % 199.59/200.86 ! [V_b_2,V_a_2,T_b] : % 199.59/200.86 ( class_Groups_Oab__group__add(T_b) % 199.59/200.86 => ( V_a_2 = V_b_2 % 199.59/200.86 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_right__minus__eq,axiom, % 199.59/200.86 ! [V_b_2,V_a_2,T_b] : % 199.59/200.86 ( class_Groups_Ogroup__add(T_b) % 199.59/200.86 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.86 <=> V_a_2 = V_b_2 ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_zero__neq__one,axiom, % 199.59/200.86 ! [T_a] : % 199.59/200.86 ( class_Rings_Ozero__neq__one(T_a) % 199.59/200.86 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_one__neq__zero,axiom, % 199.59/200.86 ! [T_a] : % 199.59/200.86 ( class_Rings_Ozero__neq__one(T_a) % 199.59/200.86 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Zero__not__Suc,axiom, % 199.59/200.86 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 199.59/200.86 % 199.59/200.86 fof(fact_nat_Osimps_I2_J,axiom, % 199.59/200.86 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Suc__not__Zero,axiom, % 199.59/200.86 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.86 % 199.59/200.86 fof(fact_nat_Osimps_I3_J,axiom, % 199.59/200.86 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Zero__neq__Suc,axiom, % 199.59/200.86 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 199.59/200.86 % 199.59/200.86 fof(fact_Suc__neq__Zero,axiom, % 199.59/200.86 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.86 % 199.59/200.86 fof(fact_not__less0,axiom, % 199.59/200.86 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.59/200.86 % 199.59/200.86 fof(fact_neq0__conv,axiom, % 199.59/200.86 ! [V_na_2] : % 199.59/200.86 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__nat__zero__code,axiom, % 199.59/200.86 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.59/200.86 % 199.59/200.86 fof(fact_gr__implies__not0,axiom, % 199.59/200.86 ! [V_n,V_m] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.86 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_gr0I,axiom, % 199.59/200.86 ! [V_n] : % 199.59/200.86 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_plus__nat_Oadd__0,axiom, % 199.59/200.86 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 199.59/200.86 % 199.59/200.86 fof(fact_Nat_Oadd__0__right,axiom, % 199.59/200.86 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__is__0,axiom, % 199.59/200.86 ! [V_na_2,V_m_2] : % 199.59/200.86 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__eq__self__zero,axiom, % 199.59/200.86 ! [V_n,V_m] : % 199.59/200.86 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 199.59/200.86 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 199.59/200.86 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 199.59/200.86 % 199.59/200.86 fof(fact_le__0__eq,axiom, % 199.59/200.86 ! [V_na_2] : % 199.59/200.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 199.59/200.86 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__0__eq__0,axiom, % 199.59/200.86 ! [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) ). % 199.59/200.86 % 199.59/200.86 fof(fact_minus__nat_Odiff__0,axiom, % 199.59/200.86 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__self__eq__0,axiom, % 199.59/200.86 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.86 % 199.59/200.86 fof(fact_diffs0__imp__equal,axiom, % 199.59/200.86 ! [V_n,V_m] : % 199.59/200.86 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.86 => V_m = V_n ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__strict__subset,axiom, % 199.59/200.86 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.86 => 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))) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__add__nat,axiom, % 199.59/200.86 ! [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) ). % 199.59/200.86 % 199.59/200.86 fof(fact_fold__graph_Oequations_I1_J,axiom, % 199.59/200.86 ! [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)) ). % 199.59/200.86 % 199.59/200.86 fof(fact_fold__graph_OemptyI,axiom, % 199.59/200.86 ! [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)) ). % 199.59/200.86 % 199.59/200.86 fof(fact_empty__fold__graphE,axiom, % 199.59/200.86 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( 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)) % 199.59/200.86 => V_x_2 = V_z_2 ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_fold__graph__imp__finite,axiom, % 199.59/200.86 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 199.59/200.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_nat__case__0,axiom, % 199.59/200.86 ! [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 ). % 199.59/200.86 % 199.59/200.86 fof(fact_diff__Suc,axiom, % 199.59/200.86 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2)) ). % 199.59/200.86 % 199.59/200.86 fof(fact_finite__imageD,axiom, % 199.59/200.86 ! [V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.59/200.86 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 199.59/200.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_card__image,axiom, % 199.59/200.86 ! [V_A_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.86 => 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) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_inj__on__image__set__diff,axiom, % 199.59/200.86 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 199.59/200.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.59/200.86 => 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)) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 199.59/200.86 ! [V_a_2,T_b] : % 199.59/200.86 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.86 => ( 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))) % 199.59/200.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 199.59/200.86 ! [V_a_2,T_b] : % 199.59/200.86 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.86 => ( 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))) % 199.59/200.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__nonneg__nonneg,axiom, % 199.59/200.86 ! [V_b,V_a,T_a] : % 199.59/200.86 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.86 => 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))) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__nonneg__eq__0__iff,axiom, % 199.59/200.86 ! [V_y_2,V_x_2,T_b] : % 199.59/200.86 ( class_Groups_Oordered__comm__monoid__add(T_b) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 199.59/200.86 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.86 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.86 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__increasing,axiom, % 199.59/200.86 ! [V_c,V_b,V_a,T_a] : % 199.59/200.86 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 199.59/200.86 => 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))) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__increasing2,axiom, % 199.59/200.86 ! [V_a,V_b,V_c,T_a] : % 199.59/200.86 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.59/200.86 => 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))) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_add__nonpos__nonpos,axiom, % 199.59/200.86 ! [V_b,V_a,T_a] : % 199.59/200.86 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.86 => 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))) ) ) ) ). % 199.59/200.86 % 199.59/200.86 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 199.59/200.87 ! [V_a_2,T_b] : % 199.59/200.87 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.87 => ( 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))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 199.59/200.87 ! [V_a_2,T_b] : % 199.59/200.87 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.87 => ( 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))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__pos__pos,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__neg__neg,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_pos__add__strict,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_le__iff__diff__le__0,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,T_b] : % 199.59/200.87 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 199.59/200.87 <=> 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))) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_less__iff__diff__less__0,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,T_b] : % 199.59/200.87 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 199.59/200.87 <=> 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))) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_zero__le__one,axiom, % 199.59/200.87 ! [T_a] : % 199.59/200.87 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.87 => 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))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_not__one__le__zero,axiom, % 199.59/200.87 ! [T_a] : % 199.59/200.87 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.87 => ~ 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))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_not__one__less__zero,axiom, % 199.59/200.87 ! [T_a] : % 199.59/200.87 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.87 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_zero__less__one,axiom, % 199.59/200.87 ! [T_a] : % 199.59/200.87 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_less__Suc__eq__0__disj,axiom, % 199.59/200.87 ! [V_na_2,V_m_2] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 199.59/200.87 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.87 | ? [B_j] : % 199.59/200.87 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 199.59/200.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_less__Suc0,axiom, % 199.59/200.87 ! [V_na_2] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 199.59/200.87 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_gr0__conv__Suc,axiom, % 199.59/200.87 ! [V_na_2] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 199.59/200.87 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__is__1,axiom, % 199.59/200.87 ! [V_na_2,V_m_2] : % 199.59/200.87 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.59/200.87 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.59/200.87 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.59/200.87 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.87 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_one__is__add,axiom, % 199.59/200.87 ! [V_na_2,V_m_2] : % 199.59/200.87 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) % 199.59/200.87 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.59/200.87 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.59/200.87 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.87 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__gr__0,axiom, % 199.59/200.87 ! [V_na_2,V_m_2] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2))) % 199.59/200.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 199.59/200.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card_Oempty,axiom, % 199.59/200.87 ! [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) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card__infinite,axiom, % 199.59/200.87 ! [V_A_2,T_b] : % 199.59/200.87 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_diff__less,axiom, % 199.59/200.87 ! [V_m,V_n] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.59/200.87 => 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)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_zero__less__diff,axiom, % 199.59/200.87 ! [V_m_2,V_na_2] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_diff__add__0,axiom, % 199.59/200.87 ! [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) ). % 199.59/200.87 % 199.59/200.87 fof(fact_diff__is__0__eq,axiom, % 199.59/200.87 ! [V_na_2,V_m_2] : % 199.59/200.87 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_diff__is__0__eq_H,axiom, % 199.59/200.87 ! [V_n,V_m] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.59/200.87 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_One__nat__def,axiom, % 199.59/200.87 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fold__graph_OinsertI,axiom, % 199.59/200.87 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.59/200.87 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.87 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.59/200.87 => 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))) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_finite__surj__inj,axiom, % 199.59/200.87 ! [V_f_2,V_A_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => ( 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))) % 199.59/200.87 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_endo__inj__surj,axiom, % 199.59/200.87 ! [V_f_2,V_A_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => ( 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)) % 199.59/200.87 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 199.59/200.87 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_inj__on__iff__eq__card,axiom, % 199.59/200.87 ! [V_f_2,T_c,V_A_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.87 <=> 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) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_eq__card__imp__inj__on,axiom, % 199.59/200.87 ! [V_f_2,T_c,V_A_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => ( 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) % 199.59/200.87 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_pigeonhole,axiom, % 199.59/200.87 ! [V_A_2,V_f_2,T_c,T_b] : % 199.59/200.87 ( 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))) % 199.59/200.87 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__nonpos__neg,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__neg__nonpos,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__strict__increasing2,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__strict__increasing,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__nonneg__pos,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__pos__nonneg,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_zero__less__two,axiom, % 199.59/200.87 ! [T_a] : % 199.59/200.87 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.87 => 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)))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_inj__on__insert,axiom, % 199.59/200.87 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 199.59/200.87 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 199.59/200.87 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.87 & ~ 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))))))) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card__eq__0__iff,axiom, % 199.59/200.87 ! [V_A_2,T_b] : % 199.59/200.87 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.87 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.87 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card__ge__0__finite,axiom, % 199.59/200.87 ! [V_A_2,T_b] : % 199.59/200.87 ( 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))) % 199.59/200.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Suc__pred,axiom, % 199.59/200.87 ! [V_n] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.59/200.87 => 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 ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_diff__Suc__less,axiom, % 199.59/200.87 ! [V_i,V_n] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_nat__diff__split__asm,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,V_Pa_2] : % 199.59/200.87 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 199.59/200.87 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 199.59/200.87 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.59/200.87 | ? [B_d] : % 199.59/200.87 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 199.59/200.87 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_nat__diff__split,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,V_Pa_2] : % 199.59/200.87 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 199.59/200.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 199.59/200.87 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.59/200.87 & ! [B_d] : % 199.59/200.87 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 199.59/200.87 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card__bij__eq,axiom, % 199.59/200.87 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.87 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.87 => ( 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)) % 199.59/200.87 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 199.59/200.87 => ( 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)) % 199.59/200.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.59/200.87 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card__gt__0__iff,axiom, % 199.59/200.87 ! [V_A_2,T_b] : % 199.59/200.87 ( 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))) % 199.59/200.87 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.87 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_inj__on__iff__card__le,axiom, % 199.59/200.87 ! [V_B_2,T_c,V_A_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.59/200.87 => ( ? [B_f] : % 199.59/200.87 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 199.59/200.87 & 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)) ) % 199.59/200.87 <=> 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_inj__on__iff__surj,axiom, % 199.59/200.87 ! [V_A_H_2,T_c,T_b,V_A_2] : % 199.59/200.87 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.87 => ( ? [B_f] : % 199.59/200.87 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 199.59/200.87 & 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)) ) % 199.59/200.87 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_even__less__0__iff,axiom, % 199.59/200.87 ! [V_a_2,T_b] : % 199.59/200.87 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.87 => ( 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))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fold1Set_Ointros,axiom, % 199.59/200.87 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 199.59/200.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.59/200.87 => 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)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card__Suc__eq,axiom, % 199.59/200.87 ! [V_k_2,V_A_2,T_b] : % 199.59/200.87 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 199.59/200.87 <=> ? [B_b,B_B] : % 199.59/200.87 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 199.59/200.87 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 199.59/200.87 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 199.59/200.87 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.87 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 199.59/200.87 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 199.59/200.87 ( 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)) % 199.59/200.87 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.87 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 199.59/200.87 | ? [B_x,B_y] : % 199.59/200.87 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 199.59/200.87 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 199.59/200.87 & 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) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_double__eq__0__iff,axiom, % 199.59/200.87 ! [V_a_2,T_b] : % 199.59/200.87 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.87 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.87 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_add__0__iff,axiom, % 199.59/200.87 ! [V_a_2,V_b_2,T_b] : % 199.59/200.87 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 199.59/200.87 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 199.59/200.87 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fold1Set__nonempty,axiom, % 199.59/200.87 ! [V_x_2,V_A_2,V_f_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 199.59/200.87 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_empty__fold1SetE,axiom, % 199.59/200.87 ! [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)) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 199.59/200.87 ! [V_c,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 199.59/200.87 ! [V_d,V_c,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 199.59/200.87 ! [V_d,V_c,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 199.59/200.87 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_finite__nat__set__iff__bounded,axiom, % 199.59/200.87 ! [V_N_2] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 199.59/200.87 <=> ? [B_m] : % 199.59/200.87 ! [B_x] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 199.59/200.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 199.59/200.87 ! [V_N_2] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 199.59/200.87 <=> ? [B_m] : % 199.59/200.87 ! [B_x] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 199.59/200.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fold1Set__sing,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,V_f_2,T_b] : % 199.59/200.87 ( 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)) % 199.59/200.87 <=> V_a_2 = V_b_2 ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OatMost__iff,axiom, % 199.59/200.87 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OatLeast__iff,axiom, % 199.59/200.87 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OlessThan__iff,axiom, % 199.59/200.87 ! [V_k_2,V_less_2,V_i_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OgreaterThan__iff,axiom, % 199.59/200.87 ! [V_k_2,V_less_2,V_i_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OatLeastAtMost__iff,axiom, % 199.59/200.87 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 199.59/200.87 ( 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))) % 199.59/200.87 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 199.59/200.87 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 199.59/200.87 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 199.59/200.87 ( 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))) % 199.59/200.87 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 199.59/200.87 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OatLeastLessThan__iff,axiom, % 199.59/200.87 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 199.59/200.87 ( 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))) % 199.59/200.87 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 199.59/200.87 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 199.59/200.87 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 199.59/200.87 ( 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))) % 199.59/200.87 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 199.59/200.87 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Ints__odd__less__0,axiom, % 199.59/200.87 ! [V_a_2,T_b] : % 199.59/200.87 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.87 => ( 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))) % 199.59/200.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Ints__0,axiom, % 199.59/200.87 ! [T_b] : % 199.59/200.87 ( class_Rings_Oring__1(T_b) % 199.59/200.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Ints__add,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,T_b] : % 199.59/200.87 ( class_Rings_Oring__1(T_b) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Ints__diff,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,T_b] : % 199.59/200.87 ( class_Rings_Oring__1(T_b) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.87 => 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))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Ints__1,axiom, % 199.59/200.87 ! [T_b] : % 199.59/200.87 ( class_Rings_Oring__1(T_b) % 199.59/200.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Ints__double__eq__0__iff,axiom, % 199.59/200.87 ! [V_a_2,T_b] : % 199.59/200.87 ( class_Int_Oring__char__0(T_b) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.87 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.87 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_Ints__odd__nonzero,axiom, % 199.59/200.87 ! [V_a_2,T_b] : % 199.59/200.87 ( class_Int_Oring__char__0(T_b) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.87 => 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) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__image,axiom, % 199.59/200.87 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.59/200.87 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.87 => 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)))))) ) % 199.59/200.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.87 => 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) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_the__inv__into__into,axiom, % 199.59/200.87 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.87 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.87 => 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)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ex__least__nat__less,axiom, % 199.59/200.87 ! [V_na_2,V_Pa_2] : % 199.59/200.87 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 199.59/200.87 => ( hBOOL(hAPP(V_Pa_2,V_na_2)) % 199.59/200.87 => ? [B_k] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2)) % 199.59/200.87 & ! [B_i] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 199.59/200.87 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 199.59/200.87 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card__def,axiom, % 199.59/200.87 ! [V_A_2,T_b] : % 199.59/200.87 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => 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) ) % 199.59/200.87 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_card_Oeq__fold__g,axiom, % 199.59/200.87 ! [V_A_2,T_b] : % 199.59/200.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fold1Set_Oequations,axiom, % 199.59/200.87 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 199.59/200.87 ( 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)) % 199.59/200.87 <=> ? [B_a,B_A] : % 199.59/200.87 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 199.59/200.87 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 199.59/200.87 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_insert__fold1SetE,axiom, % 199.59/200.87 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 199.59/200.87 ( 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)) % 199.59/200.87 => ~ ! [B_a,B_A] : % 199.59/200.87 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 199.59/200.87 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 199.59/200.87 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_inj__on__diff__nat,axiom, % 199.59/200.87 ! [V_k_2,V_N_2] : % 199.59/200.87 ( ! [B_x] : % 199.59/200.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 199.59/200.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fold__graph__permute__diff,axiom, % 199.59/200.87 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 199.59/200.87 ( class_Groups_Oab__semigroup__mult(T_b) % 199.59/200.87 => ( 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)) % 199.59/200.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.59/200.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 199.59/200.87 => 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)) ) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__triv,axiom, % 199.59/200.87 ! [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 ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__idem,axiom, % 199.59/200.87 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 199.59/200.87 ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.59/200.87 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__other,axiom, % 199.59/200.87 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 199.59/200.87 ( V_z_2 != V_x_2 % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__twist,axiom, % 199.59/200.87 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 199.59/200.87 ( V_a_2 != V_c_2 % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__apply,axiom, % 199.59/200.87 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 199.59/200.87 ( ( V_z_2 = V_x_2 % 199.59/200.87 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 199.59/200.87 & ( V_z_2 != V_x_2 % 199.59/200.87 => 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) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__same,axiom, % 199.59/200.87 ! [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 ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__upd,axiom, % 199.59/200.87 ! [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) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__idem__iff,axiom, % 199.59/200.87 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.59/200.87 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 199.59/200.87 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__left__idem,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__idem,axiom, % 199.59/200.87 ! [V_x,T_a] : % 199.59/200.87 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_times_Oidem,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Groups_Oab__semigroup__mult(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 199.59/200.87 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 199.59/200.87 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 199.59/200.87 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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))) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 199.59/200.87 ! [V_rx,V_ly,V_lx,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 199.59/200.87 ! [V_rx,V_ly,V_lx,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 199.59/200.87 ! [V_ry,V_rx,V_lx,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 199.59/200.87 ! [V_ry,V_rx,V_lx,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_fun__upd__def,axiom, % 199.59/200.87 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 199.59/200.87 ( ( V_x_2 = V_a_2 % 199.59/200.87 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 199.59/200.87 & ( V_x_2 != V_a_2 % 199.59/200.87 => 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) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_divisors__zero,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ono__zero__divisors(T_a) % 199.59/200.87 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 199.59/200.87 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 199.59/200.87 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_no__zero__divisors,axiom, % 199.59/200.87 ! [V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ono__zero__divisors(T_a) % 199.59/200.87 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.59/200.87 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__eq__0__iff,axiom, % 199.59/200.87 ! [V_b_2,V_a_2,T_b] : % 199.59/200.87 ( class_Rings_Oring__no__zero__divisors(T_b) % 199.59/200.87 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.87 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.87 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__zero__right,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Omult__zero(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__zero__left,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Omult__zero(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 199.59/200.87 ! [V_z,V_y,V_x,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_crossproduct__noteq,axiom, % 199.59/200.87 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.59/200.87 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 199.59/200.87 => ( ( V_a_2 != V_b_2 % 199.59/200.87 & V_c_2 != V_d_2 ) % 199.59/200.87 <=> 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)) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 199.59/200.87 ! [V_b,V_m,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_crossproduct__eq,axiom, % 199.59/200.87 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 199.59/200.87 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 199.59/200.87 => ( 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)) % 199.59/200.87 <=> ( V_w_2 = V_x_2 % 199.59/200.87 | V_y_2 = V_z_2 ) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__class_Odistrib,axiom, % 199.59/200.87 ! [V_c,V_b,V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring(T_a) % 199.59/200.87 => 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)) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_combine__common__factor,axiom, % 199.59/200.87 ! [V_c,V_b,V_e,V_a,T_a] : % 199.59/200.87 ( class_Rings_Osemiring(T_a) % 199.59/200.87 => 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) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult_Ocomm__neutral,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Groups_Ocomm__monoid__mult(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__1__right,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Groups_Omonoid__mult(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__1,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Groups_Ocomm__monoid__mult(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__1__left,axiom, % 199.59/200.87 ! [V_a,T_a] : % 199.59/200.87 ( class_Groups_Omonoid__mult(T_a) % 199.59/200.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__cancel2,axiom, % 199.59/200.87 ! [V_na_2,V_k_2,V_m_2] : % 199.59/200.87 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2) % 199.59/200.87 <=> ( V_m_2 = V_na_2 % 199.59/200.87 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.59/200.87 % 199.59/200.87 fof(fact_mult__cancel1,axiom, % 199.59/200.87 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.87 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2) % 199.59/200.88 <=> ( V_m_2 = V_na_2 % 199.59/200.88 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__is__0,axiom, % 199.59/200.88 ! [V_na_2,V_m_2] : % 199.59/200.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.88 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.88 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__0__right,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__0,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Suc__mult__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2) % 199.59/200.88 <=> V_m_2 = V_na_2 ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_add__mult__distrib,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_add__mult__distrib2,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__mono,axiom, % 199.59/200.88 ! [V_l,V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__mono2,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__mono1,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_le__cube,axiom, % 199.59/200.88 ! [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)))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_le__square,axiom, % 199.59/200.88 ! [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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold__image__distrib,axiom, % 199.59/200.88 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.59/200.88 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_diff__mult__distrib,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_diff__mult__distrib2,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__eq__1__iff,axiom, % 199.59/200.88 ! [V_na_2,V_m_2] : % 199.59/200.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.59/200.88 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.59/200.88 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__1__right,axiom, % 199.59/200.88 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__1__eq__mult__iff,axiom, % 199.59/200.88 ! [V_na_2,V_m_2] : % 199.59/200.88 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) % 199.59/200.88 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.59/200.88 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__1,axiom, % 199.59/200.88 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold__image__empty,axiom, % 199.59/200.88 ! [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 ). % 199.59/200.88 % 199.59/200.88 fof(fact_fun__left__comm__idem,axiom, % 199.59/200.88 ! [T_b] : % 199.59/200.88 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.59/200.88 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold__image__insert,axiom, % 199.59/200.88 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 199.59/200.88 ( class_Groups_Oab__semigroup__mult(T_c) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.59/200.88 => 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)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_split__mult__neg__le,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.59/200.88 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 199.59/200.88 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_split__mult__pos__le,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_a) % 199.59/200.88 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 199.59/200.88 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__mono,axiom, % 199.59/200.88 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__mono_H,axiom, % 199.59/200.88 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__left__mono__neg,axiom, % 199.59/200.88 ! [V_c,V_a,V_b,T_a] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__right__mono__neg,axiom, % 199.59/200.88 ! [V_c,V_a,V_b,T_a] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comm__mult__left__mono,axiom, % 199.59/200.88 ! [V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__comm__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__left__mono,axiom, % 199.59/200.88 ! [V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__right__mono,axiom, % 199.59/200.88 ! [V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__nonpos__nonpos,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__nonpos__nonneg,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__nonneg__nonpos2,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__nonneg__nonpos,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__nonneg__nonneg,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__0__iff,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 199.59/200.88 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zero__le__mult__iff,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 199.59/200.88 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zero__le__square,axiom, % 199.59/200.88 ! [V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__ring(T_a) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_not__square__less__zero,axiom, % 199.59/200.88 ! [V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__ring(T_a) % 199.59/200.88 => ~ 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__cancel__right__disj,axiom, % 199.59/200.88 ! [V_b_2,V_c_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 199.59/200.88 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__cancel__left__disj,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 199.59/200.88 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__cancel__left__pos,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__pos__pos,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__pos__neg,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__pos__neg2,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zero__less__mult__pos,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zero__less__mult__pos2,axiom, % 199.59/200.88 ! [V_a,V_b,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__cancel__left__neg,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__neg__pos,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__neg__neg,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__strict__right__mono,axiom, % 199.59/200.88 ! [V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__strict__left__mono,axiom, % 199.59/200.88 ! [V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comm__mult__strict__left__mono,axiom, % 199.59/200.88 ! [V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__strict__right__mono__neg,axiom, % 199.59/200.88 ! [V_c,V_a,V_b,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__strict__left__mono__neg,axiom, % 199.59/200.88 ! [V_c,V_a,V_b,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_add__scale__eq__noteq,axiom, % 199.59/200.88 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 199.59/200.88 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 199.59/200.88 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 199.59/200.88 => ( ( V_a = V_b % 199.59/200.88 & V_c != V_d ) % 199.59/200.88 => 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)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sum__squares__eq__zero__iff,axiom, % 199.59/200.88 ! [V_y_2,V_x_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( 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) % 199.59/200.88 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.88 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_less__1__mult,axiom, % 199.59/200.88 ! [V_n,V_m,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_eq__add__iff2,axiom, % 199.59/200.88 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Oring(T_b) % 199.59/200.88 => ( 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) % 199.59/200.88 <=> 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) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_eq__add__iff1,axiom, % 199.59/200.88 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Oring(T_b) % 199.59/200.88 => ( 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) % 199.59/200.88 <=> 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 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 199.59/200.88 ! [V_m,V_a,T_a] : % 199.59/200.88 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 199.59/200.88 ! [V_a,V_m,T_a] : % 199.59/200.88 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 199.59/200.88 ! [V_m,T_a] : % 199.59/200.88 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__eq__1__iff,axiom, % 199.59/200.88 ! [V_na_2,V_m_2] : % 199.59/200.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.59/200.88 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.59/200.88 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__mono2,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__mono1,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__cancel2,axiom, % 199.59/200.88 ! [V_na_2,V_k_2,V_m_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2))) % 199.59/200.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 199.59/200.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__0__less__mult__iff,axiom, % 199.59/200.88 ! [V_na_2,V_m_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2))) % 199.59/200.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Suc__mult__less__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__Suc__right,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__Suc,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Suc__mult__le__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__eq__self__implies__10,axiom, % 199.59/200.88 ! [V_n,V_m] : % 199.59/200.88 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 199.59/200.88 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.59/200.88 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Ints__mult,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Oring__1(T_b) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 199.59/200.88 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.59/200.88 => 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) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__cancel__left__pos,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__cancel__left__neg,axiom, % 199.59/200.88 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__strict__mono,axiom, % 199.59/200.88 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__strict__mono_H,axiom, % 199.59/200.88 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__le__imp__less,axiom, % 199.59/200.88 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__less__imp__less,axiom, % 199.59/200.88 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => 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))) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__right__less__imp__less,axiom, % 199.59/200.88 ! [V_b,V_c,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__imp__less__right,axiom, % 199.59/200.88 ! [V_b,V_c,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__left__less__imp__less,axiom, % 199.59/200.88 ! [V_b,V_a,V_c,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__less__imp__less__left,axiom, % 199.59/200.88 ! [V_b,V_a,V_c,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__right__le__imp__le,axiom, % 199.59/200.88 ! [V_b,V_c,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__left__le__imp__le,axiom, % 199.59/200.88 ! [V_b,V_a,V_c,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sum__squares__ge__zero,axiom, % 199.59/200.88 ! [V_y,V_x,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__ring(T_a) % 199.59/200.88 => 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)))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sum__squares__le__zero__iff,axiom, % 199.59/200.88 ! [V_y_2,V_x_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.88 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sum__squares__gt__zero__iff,axiom, % 199.59/200.88 ! [V_y_2,V_x_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__ring__strict(T_b) % 199.59/200.88 => ( 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)))) % 199.59/200.88 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.88 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_not__sum__squares__lt__zero,axiom, % 199.59/200.88 ! [V_y,V_x,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__ring(T_a) % 199.59/200.88 => ~ 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__right__le__one__le,axiom, % 199.59/200.88 ! [V_y,V_x,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 199.59/200.88 => 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)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__left__le__one__le,axiom, % 199.59/200.88 ! [V_y,V_x,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 199.59/200.88 => 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)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_le__add__iff1,axiom, % 199.59/200.88 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_le__add__iff2,axiom, % 199.59/200.88 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_less__add__iff2,axiom, % 199.59/200.88 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_less__add__iff1,axiom, % 199.59/200.88 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Oordered__ring(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_one__less__mult,axiom, % 199.59/200.88 ! [V_m,V_n] : % 199.59/200.88 ( 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)) % 199.59/200.88 => ( 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)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_n__less__n__mult__m,axiom, % 199.59/200.88 ! [V_m,V_n] : % 199.59/200.88 ( 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)) % 199.59/200.88 => ( 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)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_n__less__m__mult__n,axiom, % 199.59/200.88 ! [V_m,V_n] : % 199.59/200.88 ( 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)) % 199.59/200.88 => ( 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)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_one__le__mult__iff,axiom, % 199.59/200.88 ! [V_na_2,V_m_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2))) % 199.59/200.88 <=> ( 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)) % 199.59/200.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 199.59/200.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__le__cancel2,axiom, % 199.59/200.88 ! [V_na_2,V_k_2,V_m_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2))) % 199.59/200.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold__graph__insert__swap,axiom, % 199.59/200.88 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 199.59/200.88 ( class_Groups_Oab__semigroup__mult(T_b) % 199.59/200.88 => ( 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)) % 199.59/200.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 199.59/200.88 => 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))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_the__inv__into__f__f,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.88 => 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 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_the__inv__into__f__eq,axiom, % 199.59/200.88 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.88 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_the__inv__into__onto,axiom, % 199.59/200.88 ! [V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => 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 ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_inj__on__the__inv__into,axiom, % 199.59/200.88 ! [V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_convex__bound__le,axiom, % 199.59/200.88 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__1(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 199.59/200.88 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 199.59/200.88 => 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)) ) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_inj__on__fun__updI,axiom, % 199.59/200.88 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.59/200.88 => 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) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__eq__if,axiom, % 199.59/200.88 ! [V_n,V_m] : % 199.59/200.88 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.59/200.88 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.88 => 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_the__inv__into__def,axiom, % 199.59/200.88 ! [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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_convex__bound__lt,axiom, % 199.59/200.88 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 199.59/200.88 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 199.59/200.88 => 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)) ) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_f__the__inv__into__f,axiom, % 199.59/200.88 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.59/200.88 => 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 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__less__add__iff1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__less__add__iff2,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__le__add__iff1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__diff__add__eq1,axiom, % 199.59/200.88 ! [V_n,V_m,V_u,V_i,V_j] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__eq__add__iff1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 199.59/200.88 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2) % 199.59/200.88 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_na_2 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__le__add__iff2,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__diff__add__eq2,axiom, % 199.59/200.88 ! [V_n,V_m,V_u,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__eq__add__iff2,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.59/200.88 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2) % 199.59/200.88 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__le__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__assoc,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__commute,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__eq__cancel__disj,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2) % 199.59/200.88 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.88 | V_m_2 = V_na_2 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_left__add__mult__distrib,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__less__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__mult__eq__cancel1,axiom, % 199.59/200.88 ! [V_na_2,V_m_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.59/200.88 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2) % 199.59/200.88 <=> V_m_2 = V_na_2 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold1__insert,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,T_b] : % 199.59/200.88 ( class_Groups_Oab__semigroup__mult(T_b) % 199.59/200.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.88 => 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)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold__image__1,axiom, % 199.59/200.88 ! [V_f_2,V_S_2,T_b,T_c] : % 199.59/200.88 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.59/200.88 => ( ! [B_x] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.59/200.88 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_card_Oneutral,axiom, % 199.59/200.88 ! [V_A_2,T_b] : % 199.59/200.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.59/200.88 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.59/200.88 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold__image__cong,axiom, % 199.59/200.88 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.59/200.88 ( class_Groups_Oab__semigroup__mult(T_c) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( ! [B_x] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.59/200.88 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_expand__Suc,axiom, % 199.59/200.88 ! [V_v] : % 199.59/200.88 ( 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))) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_pair__box_Osize_I1_J,axiom, % 199.59/200.88 ! [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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold__image__reindex,axiom, % 199.59/200.88 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 199.59/200.88 ( class_Groups_Oab__semigroup__mult(T_d) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat_Osize_I2_J,axiom, % 199.59/200.88 ! [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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn__1__pos,axiom, % 199.59/200.88 ! [V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.88 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_pair__box_Oinject,axiom, % 199.59/200.88 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 199.59/200.88 ( 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) % 199.59/200.88 <=> ( V_a_2 = V_a_H_2 % 199.59/200.88 & V_b_2 = V_b_H_2 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_o__eq__elim,axiom, % 199.59/200.88 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 199.59/200.88 ( 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) % 199.59/200.88 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_o__eq__dest,axiom, % 199.59/200.88 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 199.59/200.88 ( 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) % 199.59/200.88 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_o__apply,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_o__assoc,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_o__def,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comp__cong,axiom, % 199.59/200.88 ! [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] : % 199.59/200.88 ( 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)) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn__sgn,axiom, % 199.59/200.88 ! [V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_eq__number__of,axiom, % 199.59/200.88 ! [V_y_2,V_x_2,T_b] : % 199.59/200.88 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.88 & class_Int_Oring__char__0(T_b) ) % 199.59/200.88 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.59/200.88 <=> V_x_2 = V_y_2 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_number__of__reorient,axiom, % 199.59/200.88 ! [V_x_2,V_w_2,T_b] : % 199.59/200.88 ( class_Int_Onumber(T_b) % 199.59/200.88 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 199.59/200.88 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_image__compose,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_le__number__of,axiom, % 199.59/200.88 ! [V_y_2,V_x_2,T_b] : % 199.59/200.88 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.88 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_less__number__of,axiom, % 199.59/200.88 ! [V_y_2,V_x_2,T_b] : % 199.59/200.88 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.88 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_inj__on__imageI2,axiom, % 199.59/200.88 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 199.59/200.88 ( 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) % 199.59/200.88 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_number__of__add,axiom, % 199.59/200.88 ! [V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_add__number__of__eq,axiom, % 199.59/200.88 ! [V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_add__number__of__left,axiom, % 199.59/200.88 ! [V_z,V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_mult__number__of__left,axiom, % 199.59/200.88 ! [V_z,V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_arith__simps_I32_J,axiom, % 199.59/200.88 ! [V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_number__of__mult,axiom, % 199.59/200.88 ! [V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_number__of__diff,axiom, % 199.59/200.88 ! [V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fun__upd__comp,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 199.59/200.88 ! [V_x_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat_Osize_I1_J,axiom, % 199.59/200.88 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn0,axiom, % 199.59/200.88 ! [T_a] : % 199.59/200.88 ( class_Groups_Osgn__if(T_a) % 199.59/200.88 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn__0__0,axiom, % 199.59/200.88 ! [V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.88 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.88 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn__times,axiom, % 199.59/200.88 ! [V_b,V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_inj__on__imageI,axiom, % 199.59/200.88 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 199.59/200.88 ( 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) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comp__inj__on,axiom, % 199.59/200.88 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => ( 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)) % 199.59/200.88 => 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) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_comp__inj__on__iff,axiom, % 199.59/200.88 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.59/200.88 => ( 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)) % 199.59/200.88 <=> 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) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_le__number__of__eq__not__less,axiom, % 199.59/200.88 ! [V_w_2,V_v_2,T_b] : % 199.59/200.88 ( ( class_Int_Onumber(T_b) % 199.59/200.88 & class_Orderings_Olinorder(T_b) ) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> ~ 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_left__distrib__number__of,axiom, % 199.59/200.88 ! [V_v,V_b,V_a,T_b] : % 199.59/200.88 ( ( class_Int_Onumber(T_b) % 199.59/200.88 & class_Rings_Osemiring(T_b) ) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_right__distrib__number__of,axiom, % 199.59/200.88 ! [V_c,V_b,V_v,T_b] : % 199.59/200.88 ( ( class_Int_Onumber(T_b) % 199.59/200.88 & class_Rings_Osemiring(T_b) ) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_add__number__of__diff1,axiom, % 199.59/200.88 ! [V_c,V_w,V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_right__diff__distrib__number__of,axiom, % 199.59/200.88 ! [V_c,V_b,V_v,T_b] : % 199.59/200.88 ( ( class_Int_Onumber(T_b) % 199.59/200.88 & class_Rings_Oring(T_b) ) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_left__diff__distrib__number__of,axiom, % 199.59/200.88 ! [V_v,V_b,V_a,T_b] : % 199.59/200.88 ( ( class_Int_Onumber(T_b) % 199.59/200.88 & class_Rings_Oring(T_b) ) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Ints__number__of,axiom, % 199.59/200.88 ! [V_w_2,T_b] : % 199.59/200.88 ( class_Int_Onumber__ring(T_b) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold1__singleton__def,axiom, % 199.59/200.88 ! [V_a_2,V_f_2,T_b,V_g_2] : % 199.59/200.88 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 199.59/200.88 => 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 ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold1__singleton,axiom, % 199.59/200.88 ! [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 ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__one_Oeq__fold,axiom, % 199.59/200.88 ! [V_A_2,V_F_2,V_f_2,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn__less,axiom, % 199.59/200.88 ! [V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn__greater,axiom, % 199.59/200.88 ! [V_a_2,T_b] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.88 => ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold1__def,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_the__inv__into__comp,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 199.59/200.88 ( 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)) % 199.59/200.88 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 199.59/200.88 => ( 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)))) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold1__insert__idem,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,T_b] : % 199.59/200.88 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.59/200.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => 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)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_sgn__pos,axiom, % 199.59/200.88 ! [V_a,T_a] : % 199.59/200.88 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.88 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_pair__box_Osize_I2_J,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_pair__box_Osimps_I2_J,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_pair__box_Orecs,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Oremove,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.88 => 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)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__image_Oreindex,axiom, % 199.59/200.88 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.59/200.88 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Oinsert__remove,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat_Osize_I4_J,axiom, % 199.59/200.88 ! [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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_fold1__in,axiom, % 199.59/200.88 ! [V_A_2,T_b] : % 199.59/200.88 ( class_Groups_Oab__semigroup__mult(T_b) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.88 => ( ! [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)))))) % 199.59/200.88 => 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)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_times__numeral__code_I5_J,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_plus__numeral__code_I9_J,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_less__eq__number__of__int__code,axiom, % 199.59/200.88 ! [V_l_2,V_k_2] : % 199.59/200.88 ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_less__number__of__int__code,axiom, % 199.59/200.88 ! [V_l_2,V_k_2] : % 199.59/200.88 ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_int__one__le__iff__zero__less,axiom, % 199.59/200.88 ! [V_z_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zle__add1__eq__le,axiom, % 199.59/200.88 ! [V_z_2,V_w_2] : % 199.59/200.88 ( 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)))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zle__diff1__eq,axiom, % 199.59/200.88 ! [V_z_2,V_w_2] : % 199.59/200.88 ( 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)))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_add1__zle__eq,axiom, % 199.59/200.88 ! [V_z_2,V_w_2] : % 199.59/200.88 ( 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)) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_le__imp__0__less,axiom, % 199.59/200.88 ! [V_z] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zless__imp__add1__zle,axiom, % 199.59/200.88 ! [V_z,V_w] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_less__bin__lemma,axiom, % 199.59/200.88 ! [V_l_2,V_k_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 199.59/200.88 <=> 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_odd__nonzero,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_int__0__less__1,axiom, % 199.59/200.88 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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zless__add1__eq,axiom, % 199.59/200.88 ! [V_z_2,V_w_2] : % 199.59/200.88 ( 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)))) % 199.59/200.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 199.59/200.88 | V_w_2 = V_z_2 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_odd__less__0,axiom, % 199.59/200.88 ! [V_z_2] : % 199.59/200.88 ( 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))) % 199.59/200.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__strict__right__mono,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zless__linear,axiom, % 199.59/200.88 ! [V_y,V_x] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 199.59/200.88 | V_x = V_y % 199.59/200.88 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__0__right,axiom, % 199.59/200.88 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__0,axiom, % 199.59/200.88 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__zless__mono,axiom, % 199.59/200.88 ! [V_z,V_z_H,V_w,V_w_H] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zless__le,axiom, % 199.59/200.88 ! [V_w_2,V_z_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 199.59/200.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 199.59/200.88 & V_z_2 != V_w_2 ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zle__refl,axiom, % 199.59/200.88 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zle__linear,axiom, % 199.59/200.88 ! [V_w,V_z] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 199.59/200.88 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zle__trans,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zle__antisym,axiom, % 199.59/200.88 ! [V_w,V_z] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 199.59/200.88 => V_z = V_w ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__left__mono,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.59/200.88 => 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))) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__commute,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__left__commute,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__assoc,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_pos__zmult__eq__1__iff,axiom, % 199.59/200.88 ! [V_na_2,V_m_2] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 199.59/200.88 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.59/200.88 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.59/200.88 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zmult__zless__mono2,axiom, % 199.59/200.88 ! [V_k,V_j,V_i] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zdiff__zmult__distrib,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zdiff__zmult__distrib2,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zmult__1,axiom, % 199.59/200.88 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 199.59/200.88 % 199.59/200.88 fof(fact_zmult__1__right,axiom, % 199.59/200.88 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 199.59/200.88 % 199.59/200.88 fof(fact_zmult__commute,axiom, % 199.59/200.88 ! [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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zmult__assoc,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__zmult__distrib2,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zadd__zmult__distrib,axiom, % 199.59/200.88 ! [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)) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__size,axiom, % 199.59/200.88 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 199.59/200.88 ! [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] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Ocommute__comp,axiom, % 199.59/200.88 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Ocommute__left__comp,axiom, % 199.59/200.88 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => 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)) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__image_Odistrib,axiom, % 199.59/200.88 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.59/200.88 => 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat_Osize_I3_J,axiom, % 199.59/200.88 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) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Ocommute__comp_H,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Ocommute__left__comp_H,axiom, % 199.59/200.88 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Ocommute__comp_H_H,axiom, % 199.59/200.88 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.59/200.88 => 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)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 199.59/200.88 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.59/200.88 => 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)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__image_Oeq__fold,axiom, % 199.59/200.88 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.59/200.88 => 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) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding_Oinsert,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.88 => 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)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_self__quotient__aux2,axiom, % 199.59/200.88 ! [V_q,V_r,V_a] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.59/200.88 => ( 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)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_self__quotient__aux1,axiom, % 199.59/200.88 ! [V_q,V_r,V_a] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.59/200.88 => ( 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)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zdiv__mono2__neg__lemma,axiom, % 199.59/200.88 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 199.59/200.88 ( 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) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_unique__quotient__lemma__neg,axiom, % 199.59/200.88 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 199.59/200.88 ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_zdiv__mono2__lemma,axiom, % 199.59/200.88 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 199.59/200.88 ( 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) % 199.59/200.88 => ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_unique__quotient__lemma,axiom, % 199.59/200.88 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 199.59/200.88 ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_q__neg__lemma,axiom, % 199.59/200.88 ! [V_r_H,V_q_H,V_b_H] : % 199.59/200.88 ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_q__pos__lemma,axiom, % 199.59/200.88 ! [V_r_H,V_q_H,V_b_H] : % 199.59/200.88 ( 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))) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.59/200.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_number__of__is__id,axiom, % 199.59/200.88 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 199.59/200.88 % 199.59/200.88 fof(fact_int__0__neq__1,axiom, % 199.59/200.88 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 199.59/200.88 ! [V_y,V_x] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 199.59/200.88 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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 199.59/200.88 ! [V_y,V_x] : % 199.59/200.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.59/200.88 => 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))) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 199.59/200.88 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))) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 199.59/200.88 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__idem_Oinsert__idem,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => 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)) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__idem_Oin__comp__idem,axiom, % 199.59/200.88 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_hom__fold1__commute,axiom, % 199.59/200.88 ! [V_N_2,V_h_2,T_b] : % 199.59/200.88 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.59/200.88 => ( ! [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)) % 199.59/200.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.59/200.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.59/200.88 => 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)) ) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__idem_Oidem__comp,axiom, % 199.59/200.88 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_folding__idem_Oidem__left__comp,axiom, % 199.59/200.88 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.88 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.59/200.88 => 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) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_tsub__def,axiom, % 199.59/200.88 ! [V_x,V_y] : % 199.59/200.88 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 199.59/200.88 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 199.59/200.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 199.59/200.88 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_of__nat__number__of__lemma,axiom, % 199.59/200.88 ! [V_v,T_a] : % 199.59/200.88 ( class_Int_Onumber__ring(T_a) % 199.59/200.88 => ( ( 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))) % 199.59/200.88 => 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) ) % 199.59/200.88 & ( ~ 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))) % 199.59/200.88 => 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) ) ) ) ). % 199.59/200.88 % 199.59/200.88 fof(fact_nat__number__of__mult__left,axiom, % 199.59/200.89 ! [V_k,V_v_H,V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_mult__nat__number__of,axiom, % 199.59/200.89 ! [V_v_H,V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_tsub__eq,axiom, % 199.59/200.89 ! [V_x,V_y] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 199.59/200.89 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fold1__eq__fold,axiom, % 199.59/200.89 ! [V_a_2,V_A_2,T_b] : % 199.59/200.89 ( class_Groups_Oab__semigroup__mult(T_b) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.59/200.89 => 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) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_bool_Osize_I2_J,axiom, % 199.59/200.89 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.89 % 199.59/200.89 fof(fact_bool_Osize_I1_J,axiom, % 199.59/200.89 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__eq__iff,axiom, % 199.59/200.89 ! [V_na_2,V_m_2,T_b] : % 199.59/200.89 ( class_Nat_Osemiring__char__0(T_b) % 199.59/200.89 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2) % 199.59/200.89 <=> V_m_2 = V_na_2 ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fold__empty,axiom, % 199.59/200.89 ! [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 ). % 199.59/200.89 % 199.59/200.89 fof(fact_Pls__def,axiom, % 199.59/200.89 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I19_J,axiom, % 199.59/200.89 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I2_J,axiom, % 199.59/200.89 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__Pls__right,axiom, % 199.59/200.89 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__Pls,axiom, % 199.59/200.89 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 199.59/200.89 % 199.59/200.89 fof(fact_mult__Pls,axiom, % 199.59/200.89 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 199.59/200.89 % 199.59/200.89 fof(fact_diff__bin__simps_I1_J,axiom, % 199.59/200.89 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 199.59/200.89 ! [V_A_2] : % 199.59/200.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 199.59/200.89 <=> 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fold__image__def,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__eq__0__conv,axiom, % 199.59/200.89 ! [V_na_2] : % 199.59/200.89 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.59/200.89 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__0,axiom, % 199.59/200.89 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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 199.59/200.89 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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zero__zle__int,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 199.59/200.89 ! [V_Pa_2] : % 199.59/200.89 ( ! [B_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.59/200.89 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 199.59/200.89 ! [V_Pa_2] : % 199.59/200.89 ( ? [B_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.59/200.89 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.59/200.89 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__less__0__conv,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zless__int,axiom, % 199.59/200.89 ! [V_na_2,V_m_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 199.59/200.89 ! [V_y_2,V_x_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zle__int,axiom, % 199.59/200.89 ! [V_na_2,V_m_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 199.59/200.89 ! [V_y_2,V_x_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zadd__int__left,axiom, % 199.59/200.89 ! [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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zadd__int,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zle__iff__zadd,axiom, % 199.59/200.89 ! [V_z_2,V_w_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 199.59/200.89 <=> ? [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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__0__le__iff,axiom, % 199.59/200.89 ! [V_n,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.89 => 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zero__le__imp__of__nat,axiom, % 199.59/200.89 ! [V_m,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.89 => 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__less__0__iff,axiom, % 199.59/200.89 ! [V_m,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.89 => ~ 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_semiring__norm_I112_J,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_number__of__Pls,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__mult,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zmult__int,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__numeral__0,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__numeral__0__right,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__0,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__less__imp__less,axiom, % 199.59/200.89 ! [V_n,V_m,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.89 => ( 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))) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__imp__of__nat__less,axiom, % 199.59/200.89 ! [V_n,V_m,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__less__iff,axiom, % 199.59/200.89 ! [V_na_2,V_m_2,T_b] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__1,axiom, % 199.59/200.89 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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 199.59/200.89 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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__le__iff,axiom, % 199.59/200.89 ! [V_na_2,V_m_2,T_b] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__add,axiom, % 199.59/200.89 ! [V_n,V_m,T_a] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_bin__less__0__simps_I1_J,axiom, % 199.59/200.89 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__number__of__Pls,axiom, % 199.59/200.89 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.89 % 199.59/200.89 fof(fact_semiring__norm_I113_J,axiom, % 199.59/200.89 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__mult,axiom, % 199.59/200.89 ! [V_n,V_m,T_a] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zero__is__num__zero,axiom, % 199.59/200.89 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__1,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_folding_Oeq__fold,axiom, % 199.59/200.89 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Ints__of__nat,axiom, % 199.59/200.89 ! [V_na_2,T_b] : % 199.59/200.89 ( class_Rings_Oring__1(T_b) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fold__def,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__le__0__conv,axiom, % 199.59/200.89 ! [V_na_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.59/200.89 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__Suc0__eq__1,axiom, % 199.59/200.89 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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zless__iff__Suc__zadd,axiom, % 199.59/200.89 ! [V_z_2,V_w_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 199.59/200.89 <=> ? [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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__Suc,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zdiff__int,axiom, % 199.59/200.89 ! [V_m,V_n] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__Suc,axiom, % 199.59/200.89 ! [V_m,T_a] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_eq__0__number__of,axiom, % 199.59/200.89 ! [V_v_2] : % 199.59/200.89 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_eq__number__of__0,axiom, % 199.59/200.89 ! [V_v_2] : % 199.59/200.89 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__nat__number__of,axiom, % 199.59/200.89 ! [V_v_H_2,V_v_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 199.59/200.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__diff,axiom, % 199.59/200.89 ! [V_m,V_n,T_a] : % 199.59/200.89 ( class_Rings_Oring__1(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__nat__number__of,axiom, % 199.59/200.89 ! [V_v_H_2,V_v_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 199.59/200.89 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 199.59/200.89 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 199.59/200.89 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zero__less__int__conv,axiom, % 199.59/200.89 ! [V_na_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zmult__zless__mono2__lemma,axiom, % 199.59/200.89 ! [V_k,V_j,V_i] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__special_I1_J,axiom, % 199.59/200.89 ! [V_y_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__special_I3_J,axiom, % 199.59/200.89 ! [V_x_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__special_I1_J,axiom, % 199.59/200.89 ! [V_y_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__special_I3_J,axiom, % 199.59/200.89 ! [V_x_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fold1__eq__fold__idem,axiom, % 199.59/200.89 ! [V_a_2,V_A_2,T_b] : % 199.59/200.89 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__0__less__iff,axiom, % 199.59/200.89 ! [V_na_2,T_b] : % 199.59/200.89 ( class_Rings_Olinordered__semidom(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__0__number__of,axiom, % 199.59/200.89 ! [V_v_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__nat__number__of,axiom, % 199.59/200.89 ! [V_v_H,V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 199.59/200.89 => 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)) ) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__fold__remove,axiom, % 199.59/200.89 ! [V_B_2,V_A_2,T_b] : % 199.59/200.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_folding__one_Oeq__fold_H,axiom, % 199.59/200.89 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.89 => 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) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 199.59/200.89 ! [V_y,V_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zdiff__int__split,axiom, % 199.59/200.89 ! [V_y_2,V_x_2,V_Pa_2] : % 199.59/200.89 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 199.59/200.89 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 199.59/200.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_number__of2,axiom, % 199.59/200.89 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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 199.59/200.89 ! [V_na_2,T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_na_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__rec,axiom, % 199.59/200.89 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.89 => 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)))))) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__1__add__number__of,axiom, % 199.59/200.89 ! [V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__number__of__add__1,axiom, % 199.59/200.89 ! [V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 199.59/200.89 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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)))))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__number__of__diff__1,axiom, % 199.59/200.89 ! [V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 199.59/200.89 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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 199.59/200.89 ! [V_A_2,V_x_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 199.59/200.89 <=> 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 199.59/200.89 ! [V_B_2,V_A_2] : % 199.59/200.89 ( V_A_2 = V_B_2 % 199.59/200.89 <=> 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 199.59/200.89 ! [V_y_2,V_x_2] : % 199.59/200.89 ( 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) % 199.59/200.89 <=> V_x_2 = V_y_2 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 199.59/200.89 ! [V_B_2,V_A_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.89 <=> 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 199.59/200.89 ! [V_B_2,V_A_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.59/200.89 <=> 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__int__eq,axiom, % 199.59/200.89 ! [V_na_2,V_m_2] : % 199.59/200.89 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) % 199.59/200.89 <=> V_m_2 = V_na_2 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_succ__pred,axiom, % 199.59/200.89 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 199.59/200.89 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 199.59/200.89 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm,axiom, % 199.59/200.89 ! [T_b] : % 199.59/200.89 ( class_Groups_Oab__semigroup__mult(T_b) % 199.59/200.89 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 199.59/200.89 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 199.59/200.89 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.59/200.89 => V_y_2 = V_x_2 ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__iff__pred__less,axiom, % 199.59/200.89 ! [V_l_2,V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_pred__def,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 199.59/200.89 ! [V_i_2,V_inc_2,T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 199.59/200.89 ! [V_i_2,V_na_2,V_inc_2,T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_na_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_na_2,hAPP(V_inc_2,V_i_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 199.59/200.89 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_succ__def,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__equality,axiom, % 199.59/200.89 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.59/200.89 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_number__of__succ,axiom, % 199.59/200.89 ! [V_k,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 199.59/200.89 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__insert,axiom, % 199.59/200.89 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.89 => 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)) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 199.59/200.89 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.59/200.89 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.59/200.89 => 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) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Suc__diff__number__of,axiom, % 199.59/200.89 ! [V_m,V_v] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 199.59/200.89 => 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 199.59/200.89 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.59/200.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.59/200.89 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.59/200.89 => ? [B_y_H] : % 199.59/200.89 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 199.59/200.89 & 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)) ) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Suc__nat__number__of__add,axiom, % 199.59/200.89 ! [V_n,V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nats__number__of,axiom, % 199.59/200.89 ! [V_w_2,T_b] : % 199.59/200.89 ( class_Int_Onumber__ring(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_decr__mult__lemma,axiom, % 199.59/200.89 ! [V_k_2,V_Pa_2,V_d_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 199.59/200.89 => ( ! [B_x] : % 199.59/200.89 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.59/200.89 => ! [B_x] : % 199.59/200.89 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_incr__mult__lemma,axiom, % 199.59/200.89 ! [V_k_2,V_Pa_2,V_d_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 199.59/200.89 => ( ! [B_x] : % 199.59/200.89 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.59/200.89 => ! [B_x] : % 199.59/200.89 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Suc__nat__number__of,axiom, % 199.59/200.89 ! [V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zero__less__imp__eq__int,axiom, % 199.59/200.89 ! [V_k] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.59/200.89 => ? [B_n] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 199.59/200.89 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__number__of__eq,axiom, % 199.59/200.89 ! [V_v,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_not__neg__0,axiom, % 199.59/200.89 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_not__neg__int,axiom, % 199.59/200.89 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_not__neg__1,axiom, % 199.59/200.89 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_not__neg__eq__ge__0,axiom, % 199.59/200.89 ! [V_x_2] : % 199.59/200.89 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__def,axiom, % 199.59/200.89 ! [V_Z_2] : % 199.59/200.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_not__neg__number__of__Pls,axiom, % 199.59/200.89 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__imp__number__of__eq__0,axiom, % 199.59/200.89 ! [V_v] : % 199.59/200.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nats__0,axiom, % 199.59/200.89 ! [T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nats__add,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.59/200.89 => 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))) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nats__mult,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.59/200.89 => 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))) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nats__1,axiom, % 199.59/200.89 ! [T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__in__Nats,axiom, % 199.59/200.89 ! [V_na_2,T_b] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_b) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_eq__nat__number__of,axiom, % 199.59/200.89 ! [V_v_H_2,V_v_2] : % 199.59/200.89 ( 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) % 199.59/200.89 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 199.59/200.89 => 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))) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 199.59/200.89 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 199.59/200.89 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 199.59/200.89 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__number__of__add__left,axiom, % 199.59/200.89 ! [V_k,V_v_H,V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.59/200.89 => 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) ) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__nat__number__of,axiom, % 199.59/200.89 ! [V_v] : % 199.59/200.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__number__of__pred__iff__0,axiom, % 199.59/200.89 ! [V_v_2] : % 199.59/200.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 199.59/200.89 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__case__add__eq__if,axiom, % 199.59/200.89 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__Suc__number__of,axiom, % 199.59/200.89 ! [V_v_2,V_na_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__number__of__Suc,axiom, % 199.59/200.89 ! [V_na_2,V_v_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__Suc__number__of,axiom, % 199.59/200.89 ! [V_v_2,V_na_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__number__of__Suc,axiom, % 199.59/200.89 ! [V_na_2,V_v_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__number__of__Bit1,axiom, % 199.59/200.89 ! [V_w_2] : % 199.59/200.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 199.59/200.89 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 199.59/200.89 => 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)))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_incr__lemma,axiom, % 199.59/200.89 ! [V_x,V_z,V_d] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_decr__lemma,axiom, % 199.59/200.89 ! [V_z,V_x,V_d] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I51_J,axiom, % 199.59/200.89 ! [V_l_2,V_k_2] : % 199.59/200.89 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 199.59/200.89 <=> V_k_2 = V_l_2 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__idempotent,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__abs__mult__distrib,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__ge__self,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__le__D1,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 199.59/200.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__zero,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__eq__0,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.59/200.89 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.89 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__add__abs,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__mult,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__mult__self,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__minus__commute,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__one,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__of__nat,axiom, % 199.59/200.89 ! [V_n,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__int__eq,axiom, % 199.59/200.89 ! [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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I34_J,axiom, % 199.59/200.89 ! [V_l_2,V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__eq__int__code_I16_J,axiom, % 199.59/200.89 ! [V_k2_2,V_k1_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__int__code_I16_J,axiom, % 199.59/200.89 ! [V_k2_2,V_k1_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I17_J,axiom, % 199.59/200.89 ! [V_l_2,V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__int,axiom, % 199.59/200.89 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I39_J,axiom, % 199.59/200.89 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I46_J,axiom, % 199.59/200.89 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 199.59/200.89 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)))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__of__nonneg,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__le__zero__iff,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__ge__zero,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__of__pos,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zero__less__abs__iff,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__not__less__zero,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => ~ 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__triangle__ineq,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__mult__less,axiom, % 199.59/200.89 ! [V_d,V_b,V_c,V_a,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 199.59/200.89 => 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))) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__triangle__ineq3,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__triangle__ineq2,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__triangle__ineq2__sym,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 199.59/200.89 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__0,axiom, % 199.59/200.89 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.59/200.89 % 199.59/200.89 fof(fact_ex__nat,axiom, % 199.59/200.89 ! [V_Pa_2] : % 199.59/200.89 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.59/200.89 <=> ? [B_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.59/200.89 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_all__nat,axiom, % 199.59/200.89 ! [V_Pa_2] : % 199.59/200.89 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.59/200.89 <=> ! [B_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 199.59/200.89 ! [V_y_2,V_x_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 199.59/200.89 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 199.59/200.89 <=> V_x_2 = V_y_2 ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_eq__nat__nat__iff,axiom, % 199.59/200.89 ! [V_z_H_2,V_z_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 199.59/200.89 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 199.59/200.89 <=> V_z_2 = V_z_H_2 ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_bin__less__0__simps_I4_J,axiom, % 199.59/200.89 ! [V_w_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__zmult__eq__1,axiom, % 199.59/200.89 ! [V_n,V_m] : % 199.59/200.89 ( 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) % 199.59/200.89 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__number__of,axiom, % 199.59/200.89 ! [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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__number__of__def,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I22_J,axiom, % 199.59/200.89 ! [V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I12_J,axiom, % 199.59/200.89 ! [V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 199.59/200.89 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Bit1__def,axiom, % 199.59/200.89 ! [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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__sgn,axiom, % 199.59/200.89 ! [V_k,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_mult__sgn__abs,axiom, % 199.59/200.89 ! [V_x,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__nat,axiom, % 199.59/200.89 ! [V_z] : % 199.59/200.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 199.59/200.89 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_not__neg__nat,axiom, % 199.59/200.89 ! [V_z] : % 199.59/200.89 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 199.59/200.89 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__number__of__Bit1,axiom, % 199.59/200.89 ! [V_w_2] : % 199.59/200.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 199.59/200.89 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__set__return__embed,axiom, % 199.59/200.89 ! [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 ). % 199.59/200.89 % 199.59/200.89 fof(fact_succ__Pls,axiom, % 199.59/200.89 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__mult__pos,axiom, % 199.59/200.89 ! [V_y,V_x,T_a] : % 199.59/200.89 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__eq__mult,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Rings_Oordered__ring__abs(T_a) % 199.59/200.89 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.59/200.89 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 199.59/200.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.59/200.89 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__triangle__ineq4,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__diff__triangle__ineq,axiom, % 199.59/200.89 ! [V_d,V_c,V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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))))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 199.59/200.89 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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__0__iff,axiom, % 199.59/200.89 ! [V_i_2] : % 199.59/200.89 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__le__0,axiom, % 199.59/200.89 ! [V_z] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.59/200.89 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zless__nat__conj,axiom, % 199.59/200.89 ! [V_z_2,V_w_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 199.59/200.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__mono__iff,axiom, % 199.59/200.89 ! [V_w_2,V_z_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_number__of__Bit1,axiom, % 199.59/200.89 ! [V_w,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zabs__less__one__iff,axiom, % 199.59/200.89 ! [V_z_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 199.59/200.89 ! [V_y_2,V_x_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__1,axiom, % 199.59/200.89 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_mult__numeral__1__right,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_mult__numeral__1,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__nat__eq,axiom, % 199.59/200.89 ! [V_z] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.89 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.89 => 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) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__eq__iff,axiom, % 199.59/200.89 ! [V_z_2,V_m_2] : % 199.59/200.89 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 199.59/200.89 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 199.59/200.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__0__le,axiom, % 199.59/200.89 ! [V_z] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.89 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zless__nat__eq__int__zless,axiom, % 199.59/200.89 ! [V_z_2,V_m_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 199.59/200.89 <=> 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_numeral__1__eq__1,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_semiring__norm_I110_J,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I29_J,axiom, % 199.59/200.89 ! [V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I5_J,axiom, % 199.59/200.89 ! [V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_one__is__num__one,axiom, % 199.59/200.89 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Numeral1__eq1__nat,axiom, % 199.59/200.89 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__numeral__1__eq__1,axiom, % 199.59/200.89 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zero__less__nat__eq,axiom, % 199.59/200.89 ! [V_z_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 199.59/200.89 ! [V_y_2,V_x_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__less__eq__zless,axiom, % 199.59/200.89 ! [V_z_2,V_w_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__eq__iff,axiom, % 199.59/200.89 ! [V_m_2,V_w_2] : % 199.59/200.89 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 199.59/200.89 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.59/200.89 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.59/200.89 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__eq__iff2,axiom, % 199.59/200.89 ! [V_w_2,V_m_2] : % 199.59/200.89 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 199.59/200.89 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.59/200.89 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.59/200.89 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__le__eq__zle,axiom, % 199.59/200.89 ! [V_z_2,V_w_2] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.59/200.89 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_split__nat,axiom, % 199.59/200.89 ! [V_i_2,V_Pa_2] : % 199.59/200.89 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 199.59/200.89 <=> ( ! [B_n] : % 199.59/200.89 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 199.59/200.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.59/200.89 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 199.59/200.89 ! [V_y,V_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__add__distrib,axiom, % 199.59/200.89 ! [V_z_H,V_z] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__eq__iff__number__of,axiom, % 199.59/200.89 ! [V_v_2,V_m_2] : % 199.59/200.89 ( 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) % 199.59/200.89 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 199.59/200.89 & 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 199.59/200.89 ! [V_y,V_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__mult__distrib,axiom, % 199.59/200.89 ! [V_z_H,V_z] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__diff__distrib,axiom, % 199.59/200.89 ! [V_z,V_z_H] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_numeral__3__eq__3,axiom, % 199.59/200.89 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)))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_numeral__1__eq__Suc__0,axiom, % 199.59/200.89 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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 199.59/200.89 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))))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Suc3__eq__add__3,axiom, % 199.59/200.89 ! [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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 199.59/200.89 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)))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 199.59/200.89 ! [V_y,V_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_diff__nat__eq__if,axiom, % 199.59/200.89 ! [V_z_2,V_z_H_2] : % 199.59/200.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_one__less__nat__eq,axiom, % 199.59/200.89 ! [V_z_2] : % 199.59/200.89 ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__less__iff,axiom, % 199.59/200.89 ! [V_m_2,V_w_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 199.59/200.89 <=> 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__special_I2_J,axiom, % 199.59/200.89 ! [V_y_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__special_I4_J,axiom, % 199.59/200.89 ! [V_x_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 199.59/200.89 ! [V_z] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__special_I2_J,axiom, % 199.59/200.89 ! [V_y_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__special_I4_J,axiom, % 199.59/200.89 ! [V_x_2,T_b] : % 199.59/200.89 ( ( class_Int_Onumber__ring(T_b) % 199.59/200.89 & class_Rings_Olinordered__idom(T_b) ) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__special_I3_J,axiom, % 199.59/200.89 ! [V_v,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__special_I2_J,axiom, % 199.59/200.89 ! [V_w,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Suc__diff__eq__diff__pred,axiom, % 199.59/200.89 ! [V_m,V_n] : % 199.59/200.89 ( 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)) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_eq__number__of__Suc,axiom, % 199.59/200.89 ! [V_na_2,V_v_2] : % 199.59/200.89 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Suc__eq__number__of,axiom, % 199.59/200.89 ! [V_v_2,V_na_2] : % 199.59/200.89 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__case__number__of,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__aux__def,axiom, % 199.59/200.89 ! [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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__rec__add__eq__if,axiom, % 199.59/200.89 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_na_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__rec__number__of,axiom, % 199.59/200.89 ! [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)))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_transfer__morphism__nat__int,axiom, % 199.59/200.89 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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_diff__nat__number__of,axiom, % 199.59/200.89 ! [V_v_2,V_v_H_2] : % 199.59/200.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 199.59/200.89 => 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) ) % 199.59/200.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 199.59/200.89 => 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_of__nat__double,axiom, % 199.59/200.89 ! [V_x,T_a] : % 199.59/200.89 ( class_Rings_Osemiring__1(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power__number__of__odd__number__of,axiom, % 199.59/200.89 ! [V_v_2,V_w_2,T_b] : % 199.59/200.89 ( class_Int_Onumber__ring(T_b) % 199.59/200.89 => ( ( 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))) % 199.59/200.89 => 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))) ) % 199.59/200.89 & ( ~ 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))) % 199.59/200.89 => 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) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_inj__uminus,axiom, % 199.59/200.89 ! [V_A_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.89 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_negative__zle,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_negative__zless,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zpower__int,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_int__power,axiom, % 199.59/200.89 ! [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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_compl__eq__compl__iff,axiom, % 199.59/200.89 ! [V_y_2,V_x_2,T_b] : % 199.59/200.89 ( class_Lattices_Oboolean__algebra(T_b) % 199.59/200.89 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 199.59/200.89 <=> V_x_2 = V_y_2 ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_uminus__apply,axiom, % 199.59/200.89 ! [V_x_2,V_A_2,T_c,T_b] : % 199.59/200.89 ( class_Groups_Ouminus(T_b) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_double__compl,axiom, % 199.59/200.89 ! [V_x,T_a] : % 199.59/200.89 ( class_Lattices_Oboolean__algebra(T_a) % 199.59/200.89 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_fun__Compl__def,axiom, % 199.59/200.89 ! [V_x_2,V_A_2,T_c,T_b] : % 199.59/200.89 ( class_Groups_Ouminus(T_b) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__equal__iff__equal,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_b) % 199.59/200.89 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 199.59/200.89 <=> V_a_2 = V_b_2 ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__equation__iff,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_b) % 199.59/200.89 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 199.59/200.89 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_equation__minus__iff,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_b) % 199.59/200.89 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 199.59/200.89 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__minus,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_a) % 199.59/200.89 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I48_J,axiom, % 199.59/200.89 ! [V_l_2,V_k_2] : % 199.59/200.89 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 199.59/200.89 <=> V_k_2 = V_l_2 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__Bit0,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zminus__zminus,axiom, % 199.59/200.89 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 199.59/200.89 % 199.59/200.89 fof(fact_arith__simps_I30_J,axiom, % 199.59/200.89 ! [V_w,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_number__of__minus,axiom, % 199.59/200.89 ! [V_w,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power2__minus,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Rings_Oring__1(T_a) % 199.59/200.89 => 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)))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__number__of__mult,axiom, % 199.59/200.89 ! [V_z,V_w,T_a] : % 199.59/200.89 ( class_Int_Onumber__ring(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__imp__neg__le,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__le__iff__le,axiom, % 199.59/200.89 ! [V_a_2,V_b_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__le__iff,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.89 => ( 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)) % 199.59/200.89 <=> 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)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_le__minus__iff,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_compl__mono,axiom, % 199.59/200.89 ! [V_y,V_x,T_a] : % 199.59/200.89 ( class_Lattices_Oboolean__algebra(T_a) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.59/200.89 => 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))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_compl__le__compl__iff,axiom, % 199.59/200.89 ! [V_y_2,V_x_2,T_b] : % 199.59/200.89 ( class_Lattices_Oboolean__algebra(T_b) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__equal__zero,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.89 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 199.59/200.89 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__equal__0__iff__equal,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_b) % 199.59/200.89 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.59/200.89 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_equal__neg__zero,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.89 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 199.59/200.89 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__0__equal__iff__equal,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_b) % 199.59/200.89 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 199.59/200.89 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__zero,axiom, % 199.59/200.89 ! [T_a] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_a) % 199.59/200.89 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_neg__less__iff__less,axiom, % 199.59/200.89 ! [V_a_2,V_b_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.89 => ( 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))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__less__iff,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__minus__iff,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__add__cancel,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_a) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__minus__cancel,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_a) % 199.59/200.89 => 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 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__add,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Ogroup__add(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__add__distrib,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oab__group__add(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_square__eq__iff,axiom, % 199.59/200.89 ! [V_b_2,V_a_2,T_b] : % 199.59/200.89 ( class_Rings_Oidom(T_b) % 199.59/200.89 => ( 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) % 199.59/200.89 <=> ( V_a_2 = V_b_2 % 199.59/200.89 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__mult__minus,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Rings_Oring(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__mult__commute,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Rings_Oring(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__mult__left,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Rings_Oring(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__mult__right,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Rings_Oring(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 199.59/200.89 ! [V_q,V_y,V_x,T_a] : % 199.59/200.89 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__diff__eq,axiom, % 199.59/200.89 ! [V_b,V_a,T_a] : % 199.59/200.89 ( class_Groups_Oab__group__add(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power__number__of__even,axiom, % 199.59/200.89 ! [V_w_2,V_z_2,T_b] : % 199.59/200.89 ( class_Int_Onumber__ring(T_b) % 199.59/200.89 => 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__eq__int__code_I13_J,axiom, % 199.59/200.89 ! [V_k2_2,V_k1_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I31_J,axiom, % 199.59/200.89 ! [V_l_2,V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I14_J,axiom, % 199.59/200.89 ! [V_l_2,V_k_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_less__int__code_I13_J,axiom, % 199.59/200.89 ! [V_k2_2,V_k1_2] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.59/200.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zminus__0,axiom, % 199.59/200.89 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) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I44_J,axiom, % 199.59/200.89 ! [V_k_2] : % 199.59/200.89 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 199.59/200.89 <=> V_k_2 = c_Int_OPls ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I38_J,axiom, % 199.59/200.89 ! [V_l_2] : % 199.59/200.89 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 199.59/200.89 <=> c_Int_OPls = V_l_2 ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Bit0__Pls,axiom, % 199.59/200.89 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I50_J,axiom, % 199.59/200.89 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 199.59/200.89 % 199.59/200.89 fof(fact_rel__simps_I49_J,axiom, % 199.59/200.89 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 199.59/200.89 % 199.59/200.89 fof(fact_add__Bit0__Bit0,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Bit0__def,axiom, % 199.59/200.89 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 199.59/200.89 % 199.59/200.89 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 199.59/200.89 ! [V_q,V_p,V_x,T_a] : % 199.59/200.89 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zpower__zpower,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zpower__number__of__even,axiom, % 199.59/200.89 ! [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))) ). % 199.59/200.89 % 199.59/200.89 fof(fact_mult__Bit0,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_abs__minus__cancel,axiom, % 199.59/200.89 ! [V_a,T_a] : % 199.59/200.89 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__Pls,axiom, % 199.59/200.89 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 199.59/200.89 % 199.59/200.89 fof(fact_zminus__zadd__distrib,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_minus__numeral__code_I5_J,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_diff__bin__simps_I7_J,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 199.59/200.89 ! [V_x,T_a] : % 199.59/200.89 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.89 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_zmult__zminus,axiom, % 199.59/200.89 ! [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)) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power2__eq__1__iff,axiom, % 199.59/200.89 ! [V_a_2,T_b] : % 199.59/200.89 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 199.59/200.89 => ( 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) % 199.59/200.89 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 199.59/200.89 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power__minus__even,axiom, % 199.59/200.89 ! [V_n,V_a,T_a] : % 199.59/200.89 ( class_Rings_Oring__1(T_a) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_nat__power__eq,axiom, % 199.59/200.89 ! [V_n,V_z] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 199.59/200.89 ! [V_n,V_x] : % 199.59/200.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.89 => 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)) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power__minus1__even,axiom, % 199.59/200.89 ! [V_n,T_a] : % 199.59/200.89 ( class_Rings_Oring__1(T_a) % 199.59/200.89 => 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) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power__number__of__even__number__of,axiom, % 199.59/200.89 ! [V_w_2,V_v_2,T_b] : % 199.59/200.89 ( class_Int_Onumber__ring(T_b) % 199.59/200.89 => 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))) ) ). % 199.59/200.89 % 199.59/200.89 fof(fact_power__minus1__odd,axiom, % 199.59/200.89 ! [V_n,T_a] : % 199.59/200.89 ( class_Rings_Oring__1(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_zero__power2,axiom, % 199.59/200.90 ! [T_a] : % 199.59/200.90 ( class_Rings_Osemiring__1(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_zero__eq__power2,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 199.59/200.90 => ( 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) % 199.59/200.90 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 199.59/200.90 ! [V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.90 => 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)))) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_power2__eq__square,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_one__power2,axiom, % 199.59/200.90 ! [T_a] : % 199.59/200.90 ( class_Rings_Osemiring__1(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_power__even__eq,axiom, % 199.59/200.90 ! [V_n,V_a,T_a] : % 199.59/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.59/200.90 => 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)))) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_power2__abs,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.90 => 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)))) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_abs__power2,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.59/200.90 => 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)))) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_neg__0__le__iff__le,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.90 => ( 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))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_le__minus__self__iff,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.90 => ( 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))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_neg__le__0__iff__le,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.90 => ( 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))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_minus__le__self__iff,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.90 => ( 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)) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_neg__0__less__iff__less,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.90 => ( 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))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_neg__less__0__iff__less,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add(T_b) % 199.59/200.90 => ( 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))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_neg__less__nonneg,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.59/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_less__minus__self__iff,axiom, % 199.59/200.90 ! [V_a_2,T_b] : % 199.59/200.90 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_right__minus,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Groups_Ogroup__add(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_eq__neg__iff__add__eq__0,axiom, % 199.59/200.90 ! [V_b_2,V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Ogroup__add(T_b) % 199.59/200.90 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 199.59/200.90 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_left__minus,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Groups_Ogroup__add(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_ab__left__minus,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Groups_Oab__group__add(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_minus__unique,axiom, % 199.59/200.90 ! [V_b,V_a,T_a] : % 199.59/200.90 ( class_Groups_Ogroup__add(T_a) % 199.59/200.90 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 199.59/200.90 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_diff__0,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Groups_Ogroup__add(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 199.59/200.90 ! [V_y,V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__ring__1(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_diff__def,axiom, % 199.59/200.90 ! [V_b,V_a,T_a] : % 199.59/200.90 ( class_Groups_Ogroup__add(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_ab__diff__minus,axiom, % 199.59/200.90 ! [V_b,V_a,T_a] : % 199.59/200.90 ( class_Groups_Oab__group__add(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_diff__minus__eq__add,axiom, % 199.59/200.90 ! [V_b,V_a,T_a] : % 199.59/200.90 ( class_Groups_Ogroup__add(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_square__eq__1__iff,axiom, % 199.59/200.90 ! [V_x_2,T_b] : % 199.59/200.90 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 199.59/200.90 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 199.59/200.90 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 199.59/200.90 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 199.59/200.90 ! [V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__ring__1(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 199.59/200.90 ! [V_q,V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 199.59/200.90 ! [V_q,V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 199.59/200.90 ! [V_q,V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 199.59/200.90 ! [V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.90 => 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) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 199.59/200.90 ! [V_q,V_p,V_x,T_a] : % 199.59/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.59/200.90 => 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)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_abs__ge__minus__self,axiom, % 199.59/200.90 ! [V_a,T_a] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.90 => 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))) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_abs__le__iff,axiom, % 199.59/200.90 ! [V_b_2,V_a_2,T_b] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.59/200.90 => ( 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)) % 199.59/200.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 199.59/200.90 & 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)) ) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_abs__leI,axiom, % 199.59/200.90 ! [V_b,V_a,T_a] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.59/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 199.59/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_abs__le__D2,axiom, % 199.59/200.90 ! [V_b,V_a,T_a] : % 199.59/200.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.59/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 199.59/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_abs__less__iff,axiom, % 199.59/200.90 ! [V_b_2,V_a_2,T_b] : % 199.59/200.90 ( class_Rings_Olinordered__idom(T_b) % 199.59/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 199.59/200.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 199.59/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_bin__less__0__simps_I3_J,axiom, % 199.59/200.90 ! [V_w_2] : % 199.59/200.90 ( 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))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 199.59/200.90 ! [V_n,V_x] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.59/200.90 => 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))) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_nat__rec__0,axiom, % 199.59/200.90 ! [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 ). % 199.59/200.90 % 199.59/200.90 fof(fact_nat__rec__Suc,axiom, % 199.59/200.90 ! [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)) ). % 199.59/200.90 % 199.59/200.90 fof(fact_rel__simps_I21_J,axiom, % 199.59/200.90 ! [V_k_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_rel__simps_I27_J,axiom, % 199.59/200.90 ! [V_k_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_less__eq__int__code_I14_J,axiom, % 199.59/200.90 ! [V_k2_2,V_k1_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_rel__simps_I32_J,axiom, % 199.59/200.90 ! [V_l_2,V_k_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_rel__simps_I10_J,axiom, % 199.59/200.90 ! [V_k_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_rel__simps_I4_J,axiom, % 199.59/200.90 ! [V_k_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_rel__simps_I16_J,axiom, % 199.59/200.90 ! [V_l_2,V_k_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_less__int__code_I15_J,axiom, % 199.59/200.90 ! [V_k2_2,V_k1_2] : % 199.59/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.59/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.59/200.90 % 199.59/200.90 fof(fact_add__Bit0__Bit1,axiom, % 199.59/200.90 ! [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)) ). % 199.59/200.90 % 199.59/200.90 fof(fact_add__Bit1__Bit0,axiom, % 199.59/200.90 ! [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)) ). % 199.59/200.90 % 199.59/200.90 fof(fact_zpower__zadd__distrib,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zadd__zminus__inverse2,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_negative__eq__positive,axiom, % 199.73/200.90 ! [V_m_2,V_na_2] : % 199.73/200.90 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) % 199.73/200.90 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I3_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I10_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I9_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_not__int__zless__negative,axiom, % 199.73/200.90 ! [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)))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__int__def__symmetric,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__int__def,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Ints__minus,axiom, % 199.73/200.90 ! [V_a_2,T_b] : % 199.73/200.90 ( class_Rings_Oring__1(T_b) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Ints__power,axiom, % 199.73/200.90 ! [V_na_2,V_a_2,T_b] : % 199.73/200.90 ( class_Rings_Oring__1(T_b) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__number__of__Bit0,axiom, % 199.73/200.90 ! [V_w_2] : % 199.73/200.90 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 199.73/200.90 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pred__Bit1,axiom, % 199.73/200.90 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pred__Bit0,axiom, % 199.73/200.90 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_minus__Bit1,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power2__eq__imp__eq,axiom, % 199.73/200.90 ! [V_y,V_x,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( 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)))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.90 => V_x = V_y ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power2__le__imp__le,axiom, % 199.73/200.90 ! [V_y,V_x,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( 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)))))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__le__power2,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => 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)))))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power2__less__0,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => ~ 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__less__power2,axiom, % 199.73/200.90 ! [V_a_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.90 => ( 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)))))) % 199.73/200.90 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_sum__power2__eq__zero__iff,axiom, % 199.73/200.90 ! [V_y_2,V_x_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.90 => ( 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) % 199.73/200.90 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.90 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power2__eq__square__number__of,axiom, % 199.73/200.90 ! [V_w,T_b] : % 199.73/200.90 ( ( class_Groups_Omonoid__mult(T_b) % 199.73/200.90 & class_Int_Onumber(T_b) ) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_succ__Bit0,axiom, % 199.73/200.90 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 199.73/200.90 % 199.73/200.90 fof(fact_succ__Bit1,axiom, % 199.73/200.90 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 199.73/200.90 ! [V_n,V_x,T_a] : % 199.73/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__number__of__Bit0,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__nat__number__of,axiom, % 199.73/200.90 ! [V_n,V_v] : % 199.73/200.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.90 => 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) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__nat__number__of__number__of,axiom, % 199.73/200.90 ! [V_w,V_v] : % 199.73/200.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.90 => 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)) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power2__less__imp__less,axiom, % 199.73/200.90 ! [V_y,V_x,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( 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)))))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_sum__power2__ge__zero,axiom, % 199.73/200.90 ! [V_y,V_x,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => 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))))))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_sum__power2__le__zero__iff,axiom, % 199.73/200.90 ! [V_y_2,V_x_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.90 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_sum__power2__gt__zero__iff,axiom, % 199.73/200.90 ! [V_y_2,V_x_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.90 => ( 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))))))) % 199.73/200.90 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.90 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_not__sum__power2__lt__zero,axiom, % 199.73/200.90 ! [V_y,V_x,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => ~ 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power2__sum,axiom, % 199.73/200.90 ! [V_y,V_x,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__le__even__power_H,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => 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)))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__odd__eq,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => 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))))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 199.73/200.90 ! [V_n,V_x,T_a] : % 199.73/200.90 ( class_Rings_Ocomm__semiring__1(T_a) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_number__of__Bit0,axiom, % 199.73/200.90 ! [V_w,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__minus__le__zero,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__of__nonpos,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.90 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__of__neg,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.90 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__if,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Groups_Oabs__if(T_a) % 199.73/200.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.90 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.90 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I15_J,axiom, % 199.73/200.90 ! [V_l_2,V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_less__int__code_I14_J,axiom, % 199.73/200.90 ! [V_k2_2,V_k1_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I33_J,axiom, % 199.73/200.90 ! [V_l_2,V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_less__eq__int__code_I15_J,axiom, % 199.73/200.90 ! [V_k2_2,V_k1_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__number__of__eq,axiom, % 199.73/200.90 ! [V_w,V_v,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mult__Bit1,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_int__zle__neg,axiom, % 199.73/200.90 ! [V_m_2,V_na_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))) % 199.73/200.90 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_negative__zle__0,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zsgn__def,axiom, % 199.73/200.90 ! [V_i] : % 199.73/200.90 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.73/200.90 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 199.73/200.90 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 199.73/200.90 => 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)) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__zminus__int,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__le__zpower__abs,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_minus__numeral__code_I6_J,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zabs__def,axiom, % 199.73/200.90 ! [V_i] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__zminus__int,axiom, % 199.73/200.90 ! [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))))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I8_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power2__diff,axiom, % 199.73/200.90 ! [V_y,V_x,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_odd__0__le__power__imp__0__le,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => ( 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))))) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_odd__power__less__zero,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_add__Bit1__Bit1,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_double__number__of__Bit0,axiom, % 199.73/200.90 ! [V_w,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__number__of,axiom, % 199.73/200.90 ! [V_x,T_a] : % 199.73/200.90 ( ( class_Int_Onumber__ring(T_a) % 199.73/200.90 & class_Rings_Olinordered__idom(T_a) ) % 199.73/200.90 => ( ( 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))) % 199.73/200.90 => 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)) ) % 199.73/200.90 & ( ~ 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))) % 199.73/200.90 => 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) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power3__eq__cube,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_add__number__of__diff2,axiom, % 199.73/200.90 ! [V_w,V_c,V_v,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_number__of1,axiom, % 199.73/200.90 ! [V_n] : % 199.73/200.90 ( 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))) % 199.73/200.90 => ( 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)))) % 199.73/200.90 & 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_sgn__neg,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.90 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_sgn__1__neg,axiom, % 199.73/200.90 ! [V_a_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.90 => ( 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)) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_sgn__if,axiom, % 199.73/200.90 ! [V_x,T_a] : % 199.73/200.90 ( class_Groups_Osgn__if(T_a) % 199.73/200.90 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 199.73/200.90 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.90 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.90 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_number__of__pred,axiom, % 199.73/200.90 ! [V_w,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_not__zle__0__negative,axiom, % 199.73/200.90 ! [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))))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_negative__zless__0,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__eq__if,axiom, % 199.73/200.90 ! [V_p,V_m] : % 199.73/200.90 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 199.73/200.90 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__less__zpower__abs__iff,axiom, % 199.73/200.90 ! [V_na_2,V_x_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_na_2))) % 199.73/200.90 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mult__2,axiom, % 199.73/200.90 ! [V_z,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mult__2__right,axiom, % 199.73/200.90 ! [V_z,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_one__add__one__is__two,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_numeral__2__eq__2,axiom, % 199.73/200.90 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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_semiring__norm_I115_J,axiom, % 199.73/200.90 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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 199.73/200.90 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))))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_add__2__eq__Suc,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_add__2__eq__Suc_H,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__mult__2,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__mult__2__right,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 199.73/200.90 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)))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 199.73/200.90 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)))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__1__add__1,axiom, % 199.73/200.90 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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__mult__distrib__neg,axiom, % 199.73/200.90 ! [V_z_H,V_z] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_less__2__cases,axiom, % 199.73/200.90 ! [V_n] : % 199.73/200.90 ( 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))))) % 199.73/200.90 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__2,axiom, % 199.73/200.90 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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__special_I2_J,axiom, % 199.73/200.90 ! [V_v,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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)))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__special_I1_J,axiom, % 199.73/200.90 ! [V_w,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__number__of__odd,axiom, % 199.73/200.90 ! [V_z_2,V_w_2,T_b] : % 199.73/200.90 ( class_Int_Onumber__ring(T_b) % 199.73/200.90 => ( ( 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))) % 199.73/200.90 => 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))) ) % 199.73/200.90 & ( ~ 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))) % 199.73/200.90 => 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) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zpower__number__of__odd,axiom, % 199.73/200.90 ! [V_z_2,V_w_2] : % 199.73/200.90 ( ( 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))) % 199.73/200.90 => 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))) ) % 199.73/200.90 & ( ~ 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))) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__strict__mono,axiom, % 199.73/200.90 ! [V_n,V_b,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => 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))) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_one__less__power,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__le__imp__le__exp,axiom, % 199.73/200.90 ! [V_n,V_m,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => ( 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))) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__increasing__iff,axiom, % 199.73/200.90 ! [V_y_2,V_x_2,V_b_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_b) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__decreasing,axiom, % 199.73/200.90 ! [V_a,V_N,V_n,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.73/200.90 => 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))) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__strict__decreasing,axiom, % 199.73/200.90 ! [V_a,V_N,V_n,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.73/200.90 => 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))) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__Suc__less__one,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_ComplI,axiom, % 199.73/200.90 ! [V_A_2,V_c_2,T_b] : % 199.73/200.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Compl__iff,axiom, % 199.73/200.90 ! [V_A_2,V_c_2,T_b] : % 199.73/200.90 ( 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))) % 199.73/200.90 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_ComplD,axiom, % 199.73/200.90 ! [V_A_2,V_c_2,T_b] : % 199.73/200.90 ( 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))) % 199.73/200.90 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_ComplE,axiom, % 199.73/200.90 ! [V_A_2,V_c_2,T_b] : % 199.73/200.90 ( 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))) % 199.73/200.90 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Compl__subset__Compl__iff,axiom, % 199.73/200.90 ! [V_B_2,V_A_2,T_b] : % 199.73/200.90 ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Compl__anti__mono,axiom, % 199.73/200.90 ! [V_B_2,V_A_2,T_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_subset__Compl__self__eq,axiom, % 199.73/200.90 ! [V_A_2,T_b] : % 199.73/200.90 ( 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))) % 199.73/200.90 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_field__power__not__zero,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 199.73/200.90 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 199.73/200.90 ! [V_m_2,V_x_2] : % 199.73/200.90 ( 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)) % 199.73/200.90 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__Suc__0,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__power__less__imp__less,axiom, % 199.73/200.90 ! [V_n,V_m,V_i] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 199.73/200.90 => ( 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))) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__zero__less__power__iff,axiom, % 199.73/200.90 ! [V_na_2,V_x_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_na_2))) % 199.73/200.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 199.73/200.90 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__commutes,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__mult__distrib,axiom, % 199.73/200.90 ! [V_n,V_b,V_a,T_a] : % 199.73/200.90 ( class_Groups_Ocomm__monoid__mult(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__one,axiom, % 199.73/200.90 ! [V_n,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_of__nat__power,axiom, % 199.73/200.90 ! [V_n,V_m,T_a] : % 199.73/200.90 ( class_Rings_Osemiring__1(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__mult,axiom, % 199.73/200.90 ! [V_n,V_m,V_a,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__abs,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__one__right,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__mono,axiom, % 199.73/200.90 ! [V_n,V_b,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__le__power,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__less__power,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__eq__0__iff,axiom, % 199.73/200.90 ! [V_na_2,V_a_2,T_b] : % 199.73/200.90 ( ( class_Power_Opower(T_b) % 199.73/200.90 & class_Rings_Omult__zero(T_b) % 199.73/200.90 & class_Rings_Ono__zero__divisors(T_b) % 199.73/200.90 & class_Rings_Ozero__neq__one(T_b) ) % 199.73/200.90 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.90 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.90 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_one__le__power,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__0__Suc,axiom, % 199.73/200.90 ! [V_n,T_a] : % 199.73/200.90 ( ( class_Power_Opower(T_a) % 199.73/200.90 & class_Rings_Osemiring__0(T_a) ) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__inject__exp,axiom, % 199.73/200.90 ! [V_na_2,V_m_2,V_a_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_b) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 199.73/200.90 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) % 199.73/200.90 <=> V_m_2 = V_na_2 ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__Suc2,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__Suc,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Power_Opower(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__one__le__power,axiom, % 199.73/200.90 ! [V_n,V_i] : % 199.73/200.90 ( 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)) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__0,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Power_Opower(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__add,axiom, % 199.73/200.90 ! [V_n,V_m,V_a,T_a] : % 199.73/200.90 ( class_Groups_Omonoid__mult(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__power__minus,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__less__imp__less__base,axiom, % 199.73/200.90 ! [V_b,V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( 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))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__le__imp__le__base,axiom, % 199.73/200.90 ! [V_b,V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( 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)))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__inject__base,axiom, % 199.73/200.90 ! [V_b,V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( 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)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.73/200.90 => V_a = V_b ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__gt1__lemma,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__less__power__Suc,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__0__left,axiom, % 199.73/200.90 ! [V_n,T_a] : % 199.73/200.90 ( ( class_Power_Opower(T_a) % 199.73/200.90 & class_Rings_Osemiring__0(T_a) ) % 199.73/200.90 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => 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) ) % 199.73/200.90 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => 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) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__gt1,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__strict__increasing__iff,axiom, % 199.73/200.90 ! [V_y_2,V_x_2,V_b_2,T_b] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_b) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__less__imp__less__exp,axiom, % 199.73/200.90 ! [V_n,V_m,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => ( 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))) % 199.73/200.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__strict__increasing,axiom, % 199.73/200.90 ! [V_a,V_N,V_n,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zero__le__power__abs,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__idom(T_a) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__increasing,axiom, % 199.73/200.90 ! [V_a,V_N,V_n,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__minus,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Oring__1(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__Suc__less,axiom, % 199.73/200.90 ! [V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__eq__imp__eq__base,axiom, % 199.73/200.90 ! [V_b,V_n,V_a,T_a] : % 199.73/200.90 ( class_Rings_Olinordered__semidom(T_a) % 199.73/200.90 => ( 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) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => V_a = V_b ) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_eq__special_I2_J,axiom, % 199.73/200.90 ! [V_y_2,T_b] : % 199.73/200.90 ( class_Int_Onumber__ring(T_b) % 199.73/200.90 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.73/200.90 <=> 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_eq__special_I4_J,axiom, % 199.73/200.90 ! [V_x_2,T_b] : % 199.73/200.90 ( class_Int_Onumber__ring(T_b) % 199.73/200.90 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 199.73/200.90 <=> 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))))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__zmod__mult__2,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__number__of__Bit1,axiom, % 199.73/200.90 ! [V_v,V_w] : % 199.73/200.90 ( ( 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))) % 199.73/200.90 => 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)) ) % 199.73/200.90 & ( ~ 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))) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__zmod__mult__2,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__zdiv__mult__2,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Compl__eq__Compl__iff,axiom, % 199.73/200.90 ! [V_B_2,V_A_2,T_b] : % 199.73/200.90 ( 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) % 199.73/200.90 <=> V_A_2 = V_B_2 ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_double__complement,axiom, % 199.73/200.90 ! [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 ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zdiv__trivial,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__div__trivial,axiom, % 199.73/200.90 ! [V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_DIVISION__BY__ZERO,axiom, % 199.73/200.90 ! [V_a] : % 199.73/200.90 ( 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) % 199.73/200.90 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mod__trivial,axiom, % 199.73/200.90 ! [V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zadd1__eq,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mod__equality,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mod__equality2,axiom, % 199.73/200.90 ! [V_c,V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__div__equality,axiom, % 199.73/200.90 ! [V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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 ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__div__equality2,axiom, % 199.73/200.90 ! [V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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 ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 199.73/200.90 ! [V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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 ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zdiv__equality,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zmult1__eq,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zmod__equality,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zmod__equality2,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmult__div__cancel,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zdiv__equality_H,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__0,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__by__0,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__self,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__add__self2,axiom, % 199.73/200.90 ! [V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__add__self1,axiom, % 199.73/200.90 ! [V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__add__right__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__add__left__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__add__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__simps_I2_J,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__simps_I1_J,axiom, % 199.73/200.90 ! [V_b,V_c,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__add__cong,axiom, % 199.73/200.90 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 199.73/200.90 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 199.73/200.90 => 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) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__cong,axiom, % 199.73/200.90 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 199.73/200.90 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 199.73/200.90 => 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) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__simps_I4_J,axiom, % 199.73/200.90 ! [V_b,V_c,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__mult2,axiom, % 199.73/200.90 ! [V_b,V_c,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__mult1,axiom, % 199.73/200.90 ! [V_b,V_a,V_c,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__left__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__right__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__diff__cong,axiom, % 199.73/200.90 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 199.73/200.90 ( class_Divides_Oring__div(T_a) % 199.73/200.90 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 199.73/200.90 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 199.73/200.90 => 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) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__diff__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Oring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__diff__left__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Oring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__diff__right__eq,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Oring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__minus__cong,axiom, % 199.73/200.90 ! [V_a_H,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Oring__div(T_a) % 199.73/200.90 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__minus__eq,axiom, % 199.73/200.90 ! [V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Oring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zero,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zero,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__self,axiom, % 199.73/200.90 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zminus__zminus,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zminus2,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__simps_I3_J,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zmult1__eq,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiff__zmod__right,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiff__zmod__left,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zminus__zmod,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zminus__zminus,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zminus2,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__by__0,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__0,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__by__1,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zpower__zmod,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__self2__is__0,axiom, % 199.73/200.90 ! [V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__self1__is__0,axiom, % 199.73/200.90 ! [V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zmult2__eq,axiom, % 199.73/200.90 ! [V_b,V_a,V_c] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__self2,axiom, % 199.73/200.90 ! [V_c,V_b,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__self1,axiom, % 199.73/200.90 ! [V_b,V_c,V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__by__1,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zminus2__eq__if,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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)) ) % 199.73/200.90 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zminus1__eq__if,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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)) ) % 199.73/200.90 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_iszero__0,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Rings_Osemiring__1(T_a) % 199.73/200.90 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_iszero__def,axiom, % 199.73/200.90 ! [V_z_2,T_b] : % 199.73/200.90 ( class_Rings_Osemiring__1(T_b) % 199.73/200.90 => ( c_Int_Oiszero(T_b,V_z_2) % 199.73/200.90 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 199.73/200.90 ! [V_y,V_x] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_not__iszero__1,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Rings_Osemiring__1(T_a) % 199.73/200.90 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__neg__pos__less0,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 199.73/200.90 ! [V_a_2,V_b_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 199.73/200.90 ! [V_a_2,V_b_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__self,axiom, % 199.73/200.90 ! [V_a] : % 199.73/200.90 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 199.73/200.90 ! [V_y,V_x] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__le__nonneg__dividend,axiom, % 199.73/200.90 ! [V_k,V_m] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__mod__bound,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__mod__bound,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__number__of__Bit0,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__eq__0__iff,axiom, % 199.73/200.90 ! [V_d_2,V_m_2] : % 199.73/200.90 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zminus1__not__zero,axiom, % 199.73/200.90 ! [V_l,V_k] : % 199.73/200.90 ( 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) % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zminus2__not__zero,axiom, % 199.73/200.90 ! [V_l,V_k] : % 199.73/200.90 ( 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) % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__mult1__if,axiom, % 199.73/200.90 ! [V_b,V_a,V_c,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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) ) % 199.73/200.90 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__self2__is__id,axiom, % 199.73/200.90 ! [V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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 ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__self1__is__id,axiom, % 199.73/200.90 ! [V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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 ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__mult2,axiom, % 199.73/200.90 ! [V_b,V_a,V_c,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__mult1,axiom, % 199.73/200.90 ! [V_b,V_a,V_c,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__self,axiom, % 199.73/200.90 ! [V_a,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__pos__lemma,axiom, % 199.73/200.90 ! [V_na_2,V_Pa_2,V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 199.73/200.90 <=> ! [B_i,B_j] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 199.73/200.90 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 199.73/200.90 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__neg__lemma,axiom, % 199.73/200.90 ! [V_na_2,V_Pa_2,V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 199.73/200.90 <=> ! [B_i,B_j] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 199.73/200.90 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__eq__0__iff,axiom, % 199.73/200.90 ! [V_k_2,V_i_2] : % 199.73/200.90 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 199.73/200.90 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 199.73/200.90 ! [V_a_2,V_b_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 199.73/200.90 ! [V_i_2,V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 199.73/200.90 ! [V_b_2,V_a_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__mono2,axiom, % 199.73/200.90 ! [V_b,V_b_H,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__nonneg__neg__le0,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__pos__pos__trivial,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 199.73/200.90 ! [V_a_2,V_b_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( 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))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__nonpos__pos__le0,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__mono2__neg,axiom, % 199.73/200.90 ! [V_b,V_b_H,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__neg__neg__trivial,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__mono1,axiom, % 199.73/200.90 ! [V_b,V_a_H,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__mono1__neg,axiom, % 199.73/200.90 ! [V_b,V_a_H,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_int__div__less__self,axiom, % 199.73/200.90 ! [V_k,V_x] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__zmult2__eq,axiom, % 199.73/200.90 ! [V_b,V_a,V_c] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__mod__sign,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__mod__conj,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.90 => ( 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))) % 199.73/200.90 & 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__pos__pos__trivial,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__mod__sign,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__mod__conj,axiom, % 199.73/200.90 ! [V_a,V_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( 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))) % 199.73/200.90 & 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__neg__neg__trivial,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zminus2__eq__if,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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) ) % 199.73/200.90 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__zminus1__eq__if,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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) ) % 199.73/200.90 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__self2,axiom, % 199.73/200.90 ! [V_c,V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__self1,axiom, % 199.73/200.90 ! [V_c,V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__add__self1,axiom, % 199.73/200.90 ! [V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__add__self2,axiom, % 199.73/200.90 ! [V_a,V_b,T_a] : % 199.73/200.90 ( class_Divides_Osemiring__div(T_a) % 199.73/200.90 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_iszero__Numeral0,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_iszero__number__of__Bit1,axiom, % 199.73/200.90 ! [V_w,T_a] : % 199.73/200.90 ( ( class_Int_Onumber__ring(T_a) % 199.73/200.90 & class_Int_Oring__char__0(T_a) ) % 199.73/200.90 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_iszero__number__of__Bit0,axiom, % 199.73/200.90 ! [V_w_2,T_b] : % 199.73/200.90 ( ( class_Int_Onumber__ring(T_b) % 199.73/200.90 & class_Int_Oring__char__0(T_b) ) % 199.73/200.90 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 199.73/200.90 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__pos__neg__trivial,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.90 => ( 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))) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__zdiv,axiom, % 199.73/200.90 ! [V_k_2,V_na_2,V_Pa_2] : % 199.73/200.90 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2))) % 199.73/200.90 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.90 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.73/200.90 => ! [B_i] : % 199.73/200.90 ( ? [B_j] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 199.73/200.90 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 199.73/200.90 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ! [B_i] : % 199.73/200.90 ( ? [B_j] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_divmod__int__rel__div__eq,axiom, % 199.73/200.90 ! [V_r_1,V_y,V_b_1,V_a_1] : % 199.73/200.90 ( 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) % 199.73/200.90 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 199.73/200.90 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__zmod,axiom, % 199.73/200.90 ! [V_k_2,V_na_2,V_Pa_2] : % 199.73/200.90 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 199.73/200.90 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 199.73/200.90 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.73/200.90 => ! [B_i,B_j] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 199.73/200.90 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 199.73/200.90 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => ! [B_i,B_j] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmult2__lemma__aux3,axiom, % 199.73/200.90 ! [V_q,V_b,V_r,V_c] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmult2__lemma__aux4,axiom, % 199.73/200.90 ! [V_q,V_b,V_r,V_c] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmult2__lemma__aux1,axiom, % 199.73/200.90 ! [V_q,V_r,V_b,V_c] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmult2__lemma__aux2,axiom, % 199.73/200.90 ! [V_q,V_r,V_b,V_c] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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))) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_divmod__int__rel__mod__eq,axiom, % 199.73/200.90 ! [V_y,V_q_1,V_b_1,V_a_1] : % 199.73/200.90 ( 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) % 199.73/200.90 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 199.73/200.90 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__number__of__Bit0,axiom, % 199.73/200.90 ! [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))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_not__iszero__Numeral1,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_eq__number__of__eq,axiom, % 199.73/200.90 ! [V_y_2,V_x_2,T_b] : % 199.73/200.90 ( class_Int_Onumber__ring(T_b) % 199.73/200.90 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.73/200.90 <=> 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__number__of__Bit1,axiom, % 199.73/200.90 ! [V_v,V_w] : % 199.73/200.90 ( ( 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))) % 199.73/200.90 => 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)) ) % 199.73/200.90 & ( ~ 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))) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_int__power__div__base,axiom, % 199.73/200.90 ! [V_k,V_m] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.73/200.90 => 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_eq__special_I1_J,axiom, % 199.73/200.90 ! [V_y_2,T_b] : % 199.73/200.90 ( class_Int_Onumber__ring(T_b) % 199.73/200.90 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.73/200.90 <=> 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_eq__special_I3_J,axiom, % 199.73/200.90 ! [V_x_2,T_b] : % 199.73/200.90 ( class_Int_Onumber__ring(T_b) % 199.73/200.90 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.90 <=> 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)))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__zdiv__mult__2,axiom, % 199.73/200.90 ! [V_b,V_a] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_z3div__def,axiom, % 199.73/200.90 ! [V_k,V_l] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.73/200.90 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_z3mod__def,axiom, % 199.73/200.90 ! [V_k,V_l] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.73/200.90 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__power__power,axiom, % 199.73/200.90 ! [T_b] : % 199.73/200.90 ( class_Power_Opower(T_b) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__m1__odd,axiom, % 199.73/200.90 ! [V_n,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power__m1__even,axiom, % 199.73/200.90 ! [V_n,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_one__mod__nat__number__of,axiom, % 199.73/200.90 ! [V_v_H] : % 199.73/200.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.73/200.90 => 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)) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__add1__eq,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult1__eq,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult2__eq,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mod__equality_H,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mult__div__cancel,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Divides_Omod__div__equality_H,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__le__dividend,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__le__mono,axiom, % 199.73/200.90 ! [V_k,V_n,V_m] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => 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))) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult2__eq,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__less,axiom, % 199.73/200.90 ! [V_n,V_m] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__less__eq__dividend,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__distrib2,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__distrib,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I24_J,axiom, % 199.73/200.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I7_J,axiom, % 199.73/200.90 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I40_J,axiom, % 199.73/200.90 c_Int_OMin != c_Int_OPls ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I37_J,axiom, % 199.73/200.90 c_Int_OPls != c_Int_OMin ). % 199.73/200.90 % 199.73/200.90 fof(fact_Bit1__Min,axiom, % 199.73/200.90 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I43_J,axiom, % 199.73/200.90 ! [V_l_2] : % 199.73/200.90 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 199.73/200.90 <=> c_Int_OMin = V_l_2 ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I47_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 199.73/200.90 <=> V_k_2 = c_Int_OMin ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I42_J,axiom, % 199.73/200.90 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I45_J,axiom, % 199.73/200.90 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__1,axiom, % 199.73/200.90 ! [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 ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__less,axiom, % 199.73/200.90 ! [V_n,V_m] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__mult__div__cancel__disj,axiom, % 199.73/200.90 ! [V_n,V_m,V_k] : % 199.73/200.90 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => 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) ) % 199.73/200.90 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__Suc,axiom, % 199.73/200.90 ! [V_n,V_m] : % 199.73/200.90 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.73/200.90 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__1,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__less__divisor,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__eq__0__iff,axiom, % 199.73/200.90 ! [V_d_2,V_m_2] : % 199.73/200.90 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__geq,axiom, % 199.73/200.90 ! [V_n,V_m] : % 199.73/200.90 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__if,axiom, % 199.73/200.90 ! [V_n,V_m] : % 199.73/200.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => 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) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__self3,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_le__mod__geq,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__int,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_bin__less__0__simps_I2_J,axiom, % 199.73/200.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I20_J,axiom, % 199.73/200.90 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I23_J,axiom, % 199.73/200.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I26_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I30_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I6_J,axiom, % 199.73/200.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I3_J,axiom, % 199.73/200.90 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I13_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I9_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I28_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I8_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__int,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_eq__number__of__Pls__Min,axiom, % 199.73/200.90 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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Int_OMin__def,axiom, % 199.73/200.90 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mult__Min,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_neg__number__of__Min,axiom, % 199.73/200.90 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pred__Pls,axiom, % 199.73/200.90 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 199.73/200.90 % 199.73/200.90 fof(fact_add__Min__right,axiom, % 199.73/200.90 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 199.73/200.90 % 199.73/200.90 fof(fact_add__Min,axiom, % 199.73/200.90 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pred__Min,axiom, % 199.73/200.90 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nonzero__number__of__Min,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_succ__Min,axiom, % 199.73/200.90 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I2_J,axiom, % 199.73/200.90 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__le__mono2,axiom, % 199.73/200.90 ! [V_k,V_n,V_m] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__mult__div__cancel1,axiom, % 199.73/200.90 ! [V_n,V_m,V_k] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__self1__is__m,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => 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 ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__mult__self__is__m,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => 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 ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__less__dividend,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__le__divisor,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__mult__self4,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mult__minus1__right,axiom, % 199.73/200.90 ! [V_z,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mult__minus1,axiom, % 199.73/200.90 ! [V_z,T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_arith__simps_I31_J,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_number__of__Min,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( class_Int_Onumber__ring(T_a) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__minus__one,axiom, % 199.73/200.90 ! [T_a] : % 199.73/200.90 ( ( class_Int_Onumber__ring(T_a) % 199.73/200.90 & class_Rings_Olinordered__idom(T_a) ) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I11_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_rel__simps_I25_J,axiom, % 199.73/200.90 ! [V_k_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 199.73/200.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmod__minus1__right,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I4_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_minus__Min,axiom, % 199.73/200.90 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 199.73/200.90 % 199.73/200.90 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 199.73/200.90 ! [V_n,V_m] : % 199.73/200.90 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.73/200.90 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.73/200.90 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zmult__eq__1__iff,axiom, % 199.73/200.90 ! [V_na_2,V_m_2] : % 199.73/200.90 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.73/200.90 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.73/200.90 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 199.73/200.90 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 199.73/200.90 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I5_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_diff__bin__simps_I6_J,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_power_Opower_Opower__0,axiom, % 199.73/200.90 ! [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 ). % 199.73/200.90 % 199.73/200.90 fof(fact_power_Opower_Opower__Suc,axiom, % 199.73/200.90 ! [V_na_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_na_2)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_zdiv__minus1__right,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__geq,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__if,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.90 => 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)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__div,axiom, % 199.73/200.90 ! [V_k_2,V_na_2,V_Pa_2] : % 199.73/200.90 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2))) % 199.73/200.90 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.73/200.90 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => ! [B_i,B_j] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 199.73/200.90 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__div__distrib,axiom, % 199.73/200.90 ! [V_y,V_x] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.73/200.90 => 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)) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 199.73/200.90 ! [V_y,V_x] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__lemma,axiom, % 199.73/200.90 ! [V_q,V_b,V_r,V_c] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 199.73/200.90 => 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))) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__mod,axiom, % 199.73/200.90 ! [V_k_2,V_na_2,V_Pa_2] : % 199.73/200.90 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2))) % 199.73/200.90 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 199.73/200.90 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 => ! [B_i,B_j] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 199.73/200.90 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 199.73/200.90 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Suc__times__mod__eq,axiom, % 199.73/200.90 ! [V_m,V_k] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_nat__mod__distrib,axiom, % 199.73/200.90 ! [V_y,V_x] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 199.73/200.90 ! [V_y,V_x] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_abs__power__minus__one,axiom, % 199.73/200.90 ! [V_n,T_a] : % 199.73/200.90 ( ( class_Int_Onumber__ring(T_a) % 199.73/200.90 & class_Rings_Olinordered__idom(T_a) ) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__eq__minus1,axiom, % 199.73/200.90 ! [V_b] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.90 => 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) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_le__div__geq,axiom, % 199.73/200.90 ! [V_m,V_n] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.73/200.90 => 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)) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__div__lemma,axiom, % 199.73/200.90 ! [V_m_2,V_q_2,V_na_2] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 199.73/200.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_q_2)),V_m_2)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_q_2)))) ) % 199.73/200.90 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_split__div_H,axiom, % 199.73/200.90 ! [V_na_2,V_m_2,V_Pa_2] : % 199.73/200.90 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2))) % 199.73/200.90 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.90 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.73/200.90 | ? [B_q] : % 199.73/200.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q)),V_m_2)) % 199.73/200.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,B_q)))) % 199.73/200.90 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Suc__div__eq__add3__div,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__Suc__eq__div__add3,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div2__Suc__Suc,axiom, % 199.73/200.90 ! [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))))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_add__self__div__2,axiom, % 199.73/200.90 ! [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 ). % 199.73/200.90 % 199.73/200.90 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_Suc__mod__eq__add3__mod,axiom, % 199.73/200.90 ! [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) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod__Suc__eq__mod__add3,axiom, % 199.73/200.90 ! [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)) ). % 199.73/200.90 % 199.73/200.90 fof(fact_mod2__Suc__Suc,axiom, % 199.73/200.90 ! [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)))) ). % 199.73/200.90 % 199.73/200.90 fof(fact_div__nat__number__of,axiom, % 199.73/200.90 ! [V_v_H,V_v] : % 199.73/200.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.90 => 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) ) % 199.73/200.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.91 => 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_mod__nat__number__of,axiom, % 199.73/200.91 ! [V_v_H,V_v] : % 199.73/200.91 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.73/200.91 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_div__pos__neg__trivial,axiom, % 199.73/200.91 ! [V_b,V_a] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.91 => ( 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))) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zmod__minus1,axiom, % 199.73/200.91 ! [V_b] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_div__2__gt__zero,axiom, % 199.73/200.91 ! [V_n] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 199.73/200.91 => 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)))))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_one__div__nat__number__of,axiom, % 199.73/200.91 ! [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))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_mod2__gr__0,axiom, % 199.73/200.91 ! [V_m_2] : % 199.73/200.91 ( 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)))))) % 199.73/200.91 <=> 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Suc__n__div__2__gt__zero,axiom, % 199.73/200.91 ! [V_n] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.91 => 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)))))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_int__of__code,axiom, % 199.73/200.91 ! [V_k] : % 199.73/200.91 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.73/200.91 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.73/200.91 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.73/200.91 => ( ( 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) % 199.73/200.91 => 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)))))) ) % 199.73/200.91 & ( 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) % 199.73/200.91 => 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)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 199.73/200.91 ! [V_B_2,V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.91 <=> 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 199.73/200.91 ! [V_B_2,V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.91 <=> 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__Suc__number__of,axiom, % 199.73/200.91 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__number__of__Suc,axiom, % 199.73/200.91 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_card__greaterThanLessThan__int,axiom, % 199.73/200.91 ! [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)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_finite__greaterThanLessThan__int,axiom, % 199.73/200.91 ! [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))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__assoc,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf_Oassoc,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__left__commute,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 199.73/200.91 ! [V_c,V_a,V_b,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__left__idem,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__commute,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf_Ocommute,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf_Oidem,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral__zero__minus__one,axiom, % 199.73/200.91 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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__le__iff__disj,axiom, % 199.73/200.91 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 199.73/200.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__infE,axiom, % 199.73/200.91 ! [V_b,V_a,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( 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))) % 199.73/200.91 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.73/200.91 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__mono,axiom, % 199.73/200.91 ! [V_d,V_b,V_c,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__greatest,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__infI,axiom, % 199.73/200.91 ! [V_b,V_a,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__absorb2,axiom, % 199.73/200.91 ! [V_x,V_y,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__absorb1,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__infI2,axiom, % 199.73/200.91 ! [V_a,V_x,V_b,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__infI1,axiom, % 199.73/200.91 ! [V_b,V_x,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__inf__iff,axiom, % 199.73/200.91 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__iff__inf,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.73/200.91 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__le2,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__le1,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__less__iff__disj,axiom, % 199.73/200.91 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 199.73/200.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__less__iff__conj,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,V_z_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oless__infI1,axiom, % 199.73/200.91 ! [V_b,V_x,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oless__infI2,axiom, % 199.73/200.91 ! [V_a,V_x,V_b,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__add__distrib__left,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__diff__distrib__left,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Groups_Oordered__ab__group__add(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__0R,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__0L,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__Suc__Suc,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__diff,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 199.73/200.91 ! [T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__number__of,axiom, % 199.73/200.91 ! [V_v,V_u,T_b] : % 199.73/200.91 ( ( class_Int_Onumber(T_b) % 199.73/200.91 & class_Orderings_Oord(T_b) ) % 199.73/200.91 => ( ( 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))) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 199.73/200.91 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nat__set__def,axiom, % 199.73/200.91 ! [V_S_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_S_2) % 199.73/200.91 <=> ! [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_greaterThanLessThan__empty,axiom, % 199.73/200.91 ! [V_k_2,V_l_2,T_b] : % 199.73/200.91 ( class_Orderings_Oorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_image__uminus__greaterThanLessThan,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 199.73/200.91 ! [V_B_2,V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.91 => ( V_A_2 = V_B_2 % 199.73/200.91 <=> 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zero__code__numeral__code,axiom, % 199.73/200.91 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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__Suc1,axiom, % 199.73/200.91 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),V_m_2) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__Suc2,axiom, % 199.73/200.91 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_na_2)),V_m_2) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 199.73/200.91 ! [V_x_2,V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__nat__int__set__return__embed,axiom, % 199.73/200.91 ! [V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => 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 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 199.73/200.91 ! [V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 199.73/200.91 <=> 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 199.73/200.91 ! [V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_one__code__numeral__code,axiom, % 199.73/200.91 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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_fold1__antimono,axiom, % 199.73/200.91 ! [V_B_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_strict__below__fold1__iff,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ! [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_fold1__strict__below__iff,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ? [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_fold1__below__iff,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ? [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Obelow__fold1__iff,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ! [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ofold1__belowI,axiom, % 199.73/200.91 ! [V_a_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_finite__greaterThanLessThan,axiom, % 199.73/200.91 ! [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))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oidem,axiom, % 199.73/200.91 ! [V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_card__greaterThanLessThan,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ofold__inf__insert,axiom, % 199.73/200.91 ! [V_a_2,V_b_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_semilattice__big_OF__eq,axiom, % 199.73/200.91 ! [V_A_2,V_F_2,V_f_2,T_b] : % 199.73/200.91 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nat__of__aux__code,axiom, % 199.73/200.91 ! [V_n,V_i] : % 199.73/200.91 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.73/200.91 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 199.73/200.91 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_dual__max,axiom, % 199.73/200.91 ! [T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_comm__monoid__big_OF__eq,axiom, % 199.73/200.91 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.73/200.91 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.73/200.91 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.73/200.91 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__ord__min,axiom, % 199.73/200.91 ! [T_b] : % 199.73/200.91 ( class_Orderings_Oord(T_b) % 199.73/200.91 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_comm__monoid__big_Oinfinite,axiom, % 199.73/200.91 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.73/200.91 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.73/200.91 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.73/200.91 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 199.73/200.91 ! [V_A_2,V_x_2] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x_2) % 199.73/200.91 => ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 199.73/200.91 <=> 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral_Osize_I1_J,axiom, % 199.73/200.91 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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oremove,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 199.73/200.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => 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)))))) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__of__nat,axiom, % 199.73/200.91 ! [V_k,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => 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)))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oremove,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 199.73/200.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => 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)))))) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__eq__iff,axiom, % 199.73/200.91 ! [V_z_2,V_w_2,T_b] : % 199.73/200.91 ( class_Int_Oring__char__0(T_b) % 199.73/200.91 => ( 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) % 199.73/200.91 <=> V_w_2 = V_z_2 ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_number__of__eq,axiom, % 199.73/200.91 ! [V_k,T_a] : % 199.73/200.91 ( class_Int_Onumber__ring(T_a) % 199.73/200.91 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_int__number__of__def,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__int__eq,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 199.73/200.91 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 199.73/200.91 ! [V_y,V_x] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x) % 199.73/200.91 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.73/200.91 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 199.73/200.91 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 199.73/200.91 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 199.73/200.91 ! [V_y,V_x] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x) % 199.73/200.91 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.73/200.91 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 199.73/200.91 ! [V_y,V_x] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x) % 199.73/200.91 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.73/200.91 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 199.73/200.91 ! [V_y,V_x] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x) % 199.73/200.91 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.73/200.91 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 199.73/200.91 ! [V_n,V_x] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x) % 199.73/200.91 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 199.73/200.91 ! [V_y,V_x] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x) % 199.73/200.91 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.73/200.91 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__eq__0__iff,axiom, % 199.73/200.91 ! [V_z_2,T_b] : % 199.73/200.91 ( class_Int_Oring__char__0(T_b) % 199.73/200.91 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__0__eq__iff,axiom, % 199.73/200.91 ! [V_z_2,T_b] : % 199.73/200.91 ( class_Int_Oring__char__0(T_b) % 199.73/200.91 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 199.73/200.91 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__0,axiom, % 199.73/200.91 ! [T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__le__iff,axiom, % 199.73/200.91 ! [V_z_2,V_w_2,T_b] : % 199.73/200.91 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__less__iff,axiom, % 199.73/200.91 ! [V_z_2,V_w_2,T_b] : % 199.73/200.91 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__add,axiom, % 199.73/200.91 ! [V_z,V_w,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__number__of__eq,axiom, % 199.73/200.91 ! [V_v,T_a] : % 199.73/200.91 ( class_Int_Onumber__ring(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__mult,axiom, % 199.73/200.91 ! [V_z,V_w,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__1,axiom, % 199.73/200.91 ! [T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__diff,axiom, % 199.73/200.91 ! [V_z,V_w,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Osingleton,axiom, % 199.73/200.91 ! [V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => 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 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__of__nat__eq,axiom, % 199.73/200.91 ! [V_n,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__minus,axiom, % 199.73/200.91 ! [V_z,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Ints__of__int,axiom, % 199.73/200.91 ! [V_z_2,T_b] : % 199.73/200.91 ( class_Rings_Oring__1(T_b) % 199.73/200.91 => 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))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__power,axiom, % 199.73/200.91 ! [V_n,V_z,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_is__nat__def,axiom, % 199.73/200.91 ! [V_x_2] : % 199.73/200.91 ( c_Nat__Transfer_Ois__nat(V_x_2) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min__le,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 199.73/200.91 ! [V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => 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 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 199.73/200.91 ! [V_x_2,V_A_2] : % 199.73/200.91 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 199.73/200.91 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min__in,axiom, % 199.73/200.91 ! [V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oin__idem,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__m1,axiom, % 199.73/200.91 ! [T_a] : % 199.73/200.91 ( class_Int_Onumber__ring(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 199.73/200.91 ! [V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_OF__eq,axiom, % 199.73/200.91 ! [V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 199.73/200.91 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__le__0__iff,axiom, % 199.73/200.91 ! [V_z_2,T_b] : % 199.73/200.91 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__0__le__iff,axiom, % 199.73/200.91 ! [V_z_2,T_b] : % 199.73/200.91 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__less__0__iff,axiom, % 199.73/200.91 ! [V_z_2,T_b] : % 199.73/200.91 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__0__less__iff,axiom, % 199.73/200.91 ! [V_z_2,T_b] : % 199.73/200.91 ( class_Rings_Olinordered__idom(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 199.73/200.91 ! [V_B_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.91 => 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) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min__antimono,axiom, % 199.73/200.91 ! [V_N_2,V_M_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 199.73/200.91 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__nat__nat,axiom, % 199.73/200.91 ! [V_z,T_a] : % 199.73/200.91 ( class_Rings_Oring__1(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 199.73/200.91 ! [V_a_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min__insert,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Osubset__idem,axiom, % 199.73/200.91 ! [V_B_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.91 => 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) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oeq__fold__idem_H,axiom, % 199.73/200.91 ! [V_a_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 199.73/200.91 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => 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)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => 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 ) % 199.73/200.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => 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)))))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oinsert,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => 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)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oinsert__remove,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.73/200.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.91 => 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)))))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oeq__fold_H,axiom, % 199.73/200.91 ! [V_x_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__num,axiom, % 199.73/200.91 ! [V_k_2,T_b] : % 199.73/200.91 ( class_Rings_Oring__1(T_b) % 199.73/200.91 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 199.73/200.91 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => 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))))) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral_Osize_I2_J,axiom, % 199.73/200.91 ! [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))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 199.73/200.91 ! [V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( ! [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)))))) % 199.73/200.91 => 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)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Min_Oclosed,axiom, % 199.73/200.91 ! [V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.91 => ( ! [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)))))) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nitpick_Oint__lcm__def,axiom, % 199.73/200.91 ! [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)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral_Oinject,axiom, % 199.73/200.91 ! [V_code__numeral_H_2,V_code__numeral_2] : % 199.73/200.91 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 199.73/200.91 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral_Osimps_I3_J,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral_Osimps_I2_J,axiom, % 199.73/200.91 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Suc__code__numeral__minus__one,axiom, % 199.73/200.91 ! [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 ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral_Osize_I4_J,axiom, % 199.73/200.91 ! [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))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nitpick_Onat__lcm__def,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__rel__def,axiom, % 199.73/200.91 ! [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))))))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nitpick_OFrac__def,axiom, % 199.73/200.91 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)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__gen__delta,axiom, % 199.73/200.91 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.91 => 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)))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.91 => 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)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__int__setprod,axiom, % 199.73/200.91 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.91 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 199.73/200.91 & class_Rings_Oring__1(T_b) ) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_of__nat__setprod,axiom, % 199.73/200.91 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.91 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 199.73/200.91 & class_Rings_Osemiring__1(T_b) ) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_int__setprod,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__timesf,axiom, % 199.73/200.91 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__1,axiom, % 199.73/200.91 ! [V_A_2,T_c,T_b] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_abs__setprod,axiom, % 199.73/200.91 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_b) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 199.73/200.91 ! [V_A_2,V_f_2,T_b] : % 199.73/200.91 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.91 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__zero__iff,axiom, % 199.73/200.91 ! [V_f_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( ( class_Rings_Ocomm__semiring__1(T_c) % 199.73/200.91 & class_Rings_Ono__zero__divisors(T_c) ) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( 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) % 199.73/200.91 <=> ? [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.91 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__zero,axiom, % 199.73/200.91 ! [V_f_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Rings_Ocomm__semiring__1(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ? [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.91 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Oempty,axiom, % 199.73/200.91 ! [V_g_2,T_c,T_b] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__empty,axiom, % 199.73/200.91 ! [V_f_2,T_c,T_b] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__infinite,axiom, % 199.73/200.91 ! [V_f_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Oinfinite,axiom, % 199.73/200.91 ! [V_g_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__eq__1__iff,axiom, % 199.73/200.91 ! [V_f_2,V_F_2,T_b] : % 199.73/200.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.73/200.91 => ( 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) % 199.73/200.91 <=> ! [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 199.73/200.91 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 199.73/200.91 ! [V_f_2,V_A_2,T_b] : % 199.73/200.91 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.91 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.73/200.91 => ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Odistrib,axiom, % 199.73/200.91 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__pos__nat__iff,axiom, % 199.73/200.91 ! [V_f_2,V_S_2,T_b] : % 199.73/200.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ! [B_x] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__reindex__cong,axiom, % 199.73/200.91 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.73/200.91 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.73/200.91 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 199.73/200.91 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 199.73/200.91 => 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) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__reindex,axiom, % 199.73/200.91 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.73/200.91 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__delta_H,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.91 => 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) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__delta,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.91 => 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) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__constant,axiom, % 199.73/200.91 ! [V_y_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__correct,axiom, % 199.73/200.91 ! [V_a,V_b] : % 199.73/200.91 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__insert,axiom, % 199.73/200.91 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Oinsert,axiom, % 199.73/200.91 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Oreindex,axiom, % 199.73/200.91 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_OF__eq,axiom, % 199.73/200.91 ! [V_g_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Oeq__fold,axiom, % 199.73/200.91 ! [V_g_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Nitpick_Oint__gcd__def,axiom, % 199.73/200.91 ! [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)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Oinsert__remove,axiom, % 199.73/200.91 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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)))))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nat__gcd_Osimps,axiom, % 199.73/200.91 ! [V_x,V_y] : % 199.73/200.91 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.91 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 199.73/200.91 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod_Oremove,axiom, % 199.73/200.91 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.91 => 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)))))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_code__numeral_Osize_I3_J,axiom, % 199.73/200.91 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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zmult2__lemma,axiom, % 199.73/200.91 ! [V_c,V_r,V_q,V_b,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.73/200.91 => 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)))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__diff1,axiom, % 199.73/200.91 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Fields_Ofield(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.91 => 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) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_adjust__eq,axiom, % 199.73/200.91 ! [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))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_adjust__def,axiom, % 199.73/200.91 ! [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))))))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__number__of__Suc,axiom, % 199.73/200.91 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Max_Oidem,axiom, % 199.73/200.91 ! [V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oless__supI2,axiom, % 199.73/200.91 ! [V_a,V_b,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 199.73/200.91 => 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oless__supI1,axiom, % 199.73/200.91 ! [V_b,V_a,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 199.73/200.91 => 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_less__max__iff__disj,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,V_z_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 199.73/200.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__less__iff__conj,axiom, % 199.73/200.91 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_add__divide__distrib,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_times__divide__eq__right,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__add__distrib__left,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_diff__divide__distrib,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__assoc,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup_Oassoc,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__left__commute,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup_Oleft__commute,axiom, % 199.73/200.91 ! [V_c,V_a,V_b,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__left__idem,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup_Oleft__idem,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__commute,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup_Ocommute,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup_Oidem,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_bot__empty__eq2,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,T_c,T_b] : % 199.73/200.91 ( 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)) % 199.73/200.91 <=> 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)))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_pred__equals__eq2,axiom, % 199.73/200.91 ! [V_S_2,V_R_2,T_c,T_b] : % 199.73/200.91 ( 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) % 199.73/200.91 <=> V_R_2 = V_S_2 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_pred__subset__eq2,axiom, % 199.73/200.91 ! [V_S_2,V_R_2,T_c,T_b] : % 199.73/200.91 ( 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))) % 199.73/200.91 <=> 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_le__maxI1,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_le__maxI2,axiom, % 199.73/200.91 ! [V_x,V_y,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__iff__sup,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.73/200.91 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__sup__iff,axiom, % 199.73/200.91 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__supI1,axiom, % 199.73/200.91 ! [V_b,V_a,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.73/200.91 => 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__supI2,axiom, % 199.73/200.91 ! [V_a,V_b,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.73/200.91 => 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__absorb2,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__absorb1,axiom, % 199.73/200.91 ! [V_x,V_y,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.73/200.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__supI,axiom, % 199.73/200.91 ! [V_b,V_x,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__least,axiom, % 199.73/200.91 ! [V_z,V_x,V_y,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__mono,axiom, % 199.73/200.91 ! [V_d,V_b,V_c,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ole__supE,axiom, % 199.73/200.91 ! [V_x,V_b,V_a,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => ( 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)) % 199.73/200.91 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.73/200.91 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_le__max__iff__disj,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,V_z_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 199.73/200.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__zero__left,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__zero,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__diff__distrib__left,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Groups_Oordered__ab__group__add(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__1,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_power__divide,axiom, % 199.73/200.91 ! [V_n,V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__Suc__Suc,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__0L,axiom, % 199.73/200.91 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__0R,axiom, % 199.73/200.91 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 199.73/200.91 % 199.73/200.91 fof(fact_minus__divide__left,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 199.73/200.91 ! [V_x,V_z,V_y,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__inf__distrib2,axiom, % 199.73/200.91 ! [V_x,V_z,V_y,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__inf__distrib1,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Oinf__sup__absorb,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__inf__absorb,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 199.73/200.91 ! [T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_eq__divide__imp,axiom, % 199.73/200.91 ! [V_b,V_a,V_c,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 199.73/200.91 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__eq__imp,axiom, % 199.73/200.91 ! [V_a,V_b,V_c,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 199.73/200.91 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nonzero__divide__eq__eq,axiom, % 199.73/200.91 ! [V_a_2,V_b_2,V_c_2,T_b] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_b) % 199.73/200.91 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 199.73/200.91 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nonzero__eq__divide__eq,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_b) % 199.73/200.91 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 199.73/200.91 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_right__inverse__eq,axiom, % 199.73/200.91 ! [V_a_2,V_b_2,T_b] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_b) % 199.73/200.91 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 199.73/200.91 <=> V_a_2 = V_b_2 ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__self,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__self__if,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 199.73/200.91 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 199.73/200.91 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__number__of,axiom, % 199.73/200.91 ! [V_v,V_u,T_b] : % 199.73/200.91 ( ( class_Int_Onumber(T_b) % 199.73/200.91 & class_Orderings_Oord(T_b) ) % 199.73/200.91 => ( ( 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))) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => 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) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nonzero__minus__divide__right,axiom, % 199.73/200.91 ! [V_a,V_b,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nonzero__minus__divide__divide,axiom, % 199.73/200.91 ! [V_a,V_b,T_a] : % 199.73/200.91 ( class_Rings_Odivision__ring(T_a) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nonzero__power__divide,axiom, % 199.73/200.91 ! [V_n,V_a,V_b,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Odistrib__inf__le,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Odistrib__sup__le,axiom, % 199.73/200.91 ! [V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Orderings_Olinorder(T_a) % 199.73/200.91 => 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)))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_power__one__over,axiom, % 199.73/200.91 ! [V_n,V_a,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_minus__max__eq__min,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Groups_Olinordered__ab__group__add(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_minus__min__eq__max,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Groups_Olinordered__ab__group__add(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nat__minus__add__max,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__rel__0,axiom, % 199.73/200.91 ! [V_b] : % 199.73/200.91 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => 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)))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_self__remainder,axiom, % 199.73/200.91 ! [V_r,V_q,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_unique__quotient,axiom, % 199.73/200.91 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( 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))) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => V_q = V_q_H ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_unique__remainder,axiom, % 199.73/200.91 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( 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))) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => V_r = V_r_H ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_setprod__dividef,axiom, % 199.73/200.91 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_c) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_eq__divide__eq__number__of1,axiom, % 199.73/200.91 ! [V_w_2,V_b_2,V_a_2,T_b] : % 199.73/200.91 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => 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 ) % 199.73/200.91 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_eq__divide__eq__number__of,axiom, % 199.73/200.91 ! [V_c_2,V_b_2,V_w_2,T_b] : % 199.73/200.91 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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) % 199.73/200.91 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => 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 ) % 199.73/200.91 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__eq__eq__number__of,axiom, % 199.73/200.91 ! [V_w_2,V_c_2,V_b_2,T_b] : % 199.73/200.91 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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) % 199.73/200.91 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => 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) ) % 199.73/200.91 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__eq__eq__number__of1,axiom, % 199.73/200.91 ! [V_a_2,V_w_2,V_b_2,T_b] : % 199.73/200.91 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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 % 199.73/200.91 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__Numeral0,axiom, % 199.73/200.91 ! [V_x,T_a] : % 199.73/200.91 ( ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 & class_Int_Onumber__ring(T_a) ) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__Suc1,axiom, % 199.73/200.91 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),V_m_2) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__Suc2,axiom, % 199.73/200.91 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_na_2)),V_m_2) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__numeral__1,axiom, % 199.73/200.91 ! [V_a,T_a] : % 199.73/200.91 ( ( class_Fields_Ofield(T_a) % 199.73/200.91 & class_Int_Onumber__ring(T_a) ) % 199.73/200.91 => 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 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__Numeral1,axiom, % 199.73/200.91 ! [V_x,T_a] : % 199.73/200.91 ( ( class_Fields_Ofield(T_a) % 199.73/200.91 & class_Int_Onumber__ring(T_a) ) % 199.73/200.91 => 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 ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__minus1,axiom, % 199.73/200.91 ! [V_x,T_a] : % 199.73/200.91 ( ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 & class_Int_Onumber__ring(T_a) ) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__ord__max,axiom, % 199.73/200.91 ! [T_b] : % 199.73/200.91 ( class_Orderings_Oord(T_b) % 199.73/200.91 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Ofold__sup__insert,axiom, % 199.73/200.91 ! [V_a_2,V_b_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_dual__min,axiom, % 199.73/200.91 ! [T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_self__quotient,axiom, % 199.73/200.91 ! [V_r,V_q,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__rel__mod,axiom, % 199.73/200.91 ! [V_r,V_q,V_b,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__rel__div,axiom, % 199.73/200.91 ! [V_r,V_q,V_b,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__mod__div,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_less__divide__eq__number__of1,axiom, % 199.73/200.91 ! [V_w_2,V_b_2,V_a_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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)))) % 199.73/200.91 <=> ( ( 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))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => ( ( 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))) % 199.73/200.91 => 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)))) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_less__divide__eq__number__of,axiom, % 199.73/200.91 ! [V_c_2,V_b_2,V_w_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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))) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__less__eq__number__of,axiom, % 199.73/200.91 ! [V_w_2,V_c_2,V_b_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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))) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__less__eq__number__of1,axiom, % 199.73/200.91 ! [V_a_2,V_w_2,V_b_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( ( 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))) % 199.73/200.91 => 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)))) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => ( ( 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))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_power__diff,axiom, % 199.73/200.91 ! [V_m,V_n,V_a,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__le__fold__sup,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_minus1__divide,axiom, % 199.73/200.91 ! [V_x,T_a] : % 199.73/200.91 ( ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 & class_Int_Onumber__ring(T_a) ) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_min__max_Osup__Inf__absorb,axiom, % 199.73/200.91 ! [V_a_2,V_A_2,T_b] : % 199.73/200.91 ( class_Orderings_Olinorder(T_b) % 199.73/200.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.91 => 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 ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__rel__div__mod,axiom, % 199.73/200.91 ! [V_a,V_b] : % 199.73/200.91 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => 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)))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_le__divide__eq__number__of1,axiom, % 199.73/200.91 ! [V_w_2,V_b_2,V_a_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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)))) % 199.73/200.91 <=> ( ( 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))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => ( ( 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))) % 199.73/200.91 => 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)))) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_le__divide__eq__number__of,axiom, % 199.73/200.91 ! [V_c_2,V_b_2,V_w_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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))) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__le__eq__number__of,axiom, % 199.73/200.91 ! [V_w_2,V_c_2,V_b_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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))) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__le__eq__number__of1,axiom, % 199.73/200.91 ! [V_a_2,V_w_2,V_b_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber(T_b) ) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( ( 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))) % 199.73/200.91 => 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)))) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => ( ( 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))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zadd1__lemma,axiom, % 199.73/200.91 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( 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))) % 199.73/200.91 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => 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)))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zminus1__lemma,axiom, % 199.73/200.91 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 199.73/200.91 ( 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))) % 199.73/200.91 => 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))))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_half__gt__zero,axiom, % 199.73/200.91 ! [V_r,T_a] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.73/200.91 & class_Int_Onumber__ring(T_a) ) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 199.73/200.91 => 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)))))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_half__gt__zero__iff,axiom, % 199.73/200.91 ! [V_r_2,T_b] : % 199.73/200.91 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 & class_Int_Onumber__ring(T_b) ) % 199.73/200.91 => ( 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)))))) % 199.73/200.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divmod__int__relI,axiom, % 199.73/200.91 ! [V_r,V_q,V_b,V_a] : % 199.73/200.91 ( 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) % 199.73/200.91 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 199.73/200.91 => 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zmult1__lemma,axiom, % 199.73/200.91 ! [V_a,V_r,V_q,V_c,V_b] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 => 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)))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_max__Suc__number__of,axiom, % 199.73/200.91 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_pair__imageI,axiom, % 199.73/200.91 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.91 ( 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)) % 199.73/200.91 => 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))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_norm__frac_Osimps,axiom, % 199.73/200.91 ! [V_a_2,V_b_2] : % 199.73/200.91 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.91 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 199.73/200.91 ! [V_w] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( ( 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)))) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ 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)))) % 199.73/200.91 => 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)))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_splitI,axiom, % 199.73/200.91 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 199.73/200.91 => 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))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_prod__caseI,axiom, % 199.73/200.91 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 199.73/200.91 => 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))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_mem__splitI,axiom, % 199.73/200.91 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 199.73/200.91 => 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)))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_bot2E,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_splitD_H,axiom, % 199.73/200.91 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 199.73/200.91 ( 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)) % 199.73/200.91 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_less__by__empty,axiom, % 199.73/200.91 ! [V_B_2,T_b,V_A_2] : % 199.73/200.91 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_predicate2D,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.73/200.91 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_rev__predicate2D,axiom, % 199.73/200.91 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2)) % 199.73/200.91 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Pair__inject,axiom, % 199.73/200.91 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 199.73/200.91 ( 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) % 199.73/200.91 => ~ ( V_a = V_a_H % 199.73/200.91 => V_b != V_b_H ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_Pair__eq,axiom, % 199.73/200.91 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.91 ( 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) % 199.73/200.91 <=> ( V_a_2 = V_a_H_2 % 199.73/200.91 & V_b_2 = V_b_H_2 ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_split__paired__All,axiom, % 199.73/200.91 ! [T_c,T_b,V_Pa_2] : % 199.73/200.91 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.73/200.91 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_split__weak__cong,axiom, % 199.73/200.91 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 199.73/200.91 ( V_p_2 = V_q_2 % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_negDivAlg__correct,axiom, % 199.73/200.91 ! [V_b,V_a] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.91 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_prod_Osimps_I2_J,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_split__conv,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_splitD,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 199.73/200.91 ( 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))) % 199.73/200.91 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_negDivAlg__div__mod,axiom, % 199.73/200.91 ! [V_l,V_k] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_negDivAlg__minus1,axiom, % 199.73/200.91 ! [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))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_split__eta,axiom, % 199.73/200.91 ! [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 ). % 199.73/200.91 % 199.73/200.91 fof(fact_split__paired__The,axiom, % 199.73/200.91 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 199.73/200.91 % 199.73/200.91 fof(fact_The__split__eq,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_swap__inj__on,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_split__twice,axiom, % 199.73/200.91 ! [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) ). % 199.73/200.91 % 199.73/200.91 fof(fact_negDivAlg_Osimps,axiom, % 199.73/200.91 ! [V_b,V_a] : % 199.73/200.91 ( ( ( 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))) % 199.73/200.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ ( 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))) % 199.73/200.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.91 => 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))) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_negDivAlg__eqn__number__of,axiom, % 199.73/200.91 ! [V_w,V_v] : % 199.73/200.91 ( 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))) % 199.73/200.91 => ( ( 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)))) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ 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)))) % 199.73/200.91 => 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)))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_negDivAlg__eqn,axiom, % 199.73/200.91 ! [V_a,V_b] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.91 => ( ( 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))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ 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))) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_in__rel__def,axiom, % 199.73/200.91 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 199.73/200.91 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 199.73/200.91 <=> 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_div__mod__code__numeral__def,axiom, % 199.73/200.91 ! [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)) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__left__mono__neg,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => ( 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))) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__left__mono,axiom, % 199.73/200.91 ! [V_c,V_a,V_b,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.73/200.91 => ( 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))) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_neg__divide__le__eq,axiom, % 199.73/200.91 ! [V_a_2,V_b_2,V_c_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_times__divide__times__eq,axiom, % 199.73/200.91 ! [V_w,V_z,V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_minus__divide__divide,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => 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) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_minus__divide__right,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_abs__divide,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.73/200.91 => 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)) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zero__le__divide__iff,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 199.73/200.91 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__le__0__iff,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 199.73/200.91 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__right__mono,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__right__mono__neg,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_zero__less__divide__iff,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 199.73/200.91 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__less__0__iff,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 199.73/200.91 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__pos__pos,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__pos__neg,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__neg__pos,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__neg__neg,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__strict__right__mono,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__strict__right__mono__neg,axiom, % 199.73/200.91 ! [V_c,V_a,V_b,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_eq__divide__eq,axiom, % 199.73/200.91 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_b) % 199.73/200.91 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 199.73/200.91 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 199.73/200.91 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__eq__eq,axiom, % 199.73/200.91 ! [V_a_2,V_c_2,V_b_2,T_b] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_b) % 199.73/200.91 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 199.73/200.91 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 199.73/200.91 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_mult__divide__mult__cancel__right,axiom, % 199.73/200.91 ! [V_b,V_a,V_c,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_mult__divide__mult__cancel__left,axiom, % 199.73/200.91 ! [V_b,V_a,V_c,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_frac__eq__eq,axiom, % 199.73/200.91 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 199.73/200.91 ( class_Fields_Ofield(T_b) % 199.73/200.91 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.91 => ( 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) % 199.73/200.91 <=> 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) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_nonzero__abs__divide,axiom, % 199.73/200.91 ! [V_a,V_b,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__nonneg__pos,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__nonneg__neg,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_frac__less2,axiom, % 199.73/200.91 ! [V_z,V_w,V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 199.73/200.91 => 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))) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_frac__less,axiom, % 199.73/200.91 ! [V_z,V_w,V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 199.73/200.91 => 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))) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_frac__le,axiom, % 199.73/200.91 ! [V_z,V_w,V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 199.73/200.91 => 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))) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__nonpos__pos,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__nonpos__neg,axiom, % 199.73/200.91 ! [V_y,V_x,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_less__divide__eq,axiom, % 199.73/200.91 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__less__eq,axiom, % 199.73/200.91 ! [V_a_2,V_c_2,V_b_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => 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))) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => 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)) ) % 199.73/200.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_pos__less__divide__eq,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_pos__divide__less__eq,axiom, % 199.73/200.91 ! [V_a_2,V_b_2,V_c_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_mult__imp__div__pos__less,axiom, % 199.73/200.91 ! [V_z,V_x,V_y,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.91 => ( 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))) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_mult__imp__less__div__pos,axiom, % 199.73/200.91 ! [V_x,V_z,V_y,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.91 => ( 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)) % 199.73/200.91 => 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_neg__less__divide__eq,axiom, % 199.73/200.91 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => ( 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))) % 199.73/200.91 <=> 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))) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_neg__divide__less__eq,axiom, % 199.73/200.91 ! [V_a_2,V_b_2,V_c_2,T_b] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_b) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.91 => ( 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)) % 199.73/200.91 <=> 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__strict__left__mono,axiom, % 199.73/200.91 ! [V_c,V_a,V_b,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.73/200.91 => ( 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))) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__strict__left__mono__neg,axiom, % 199.73/200.91 ! [V_c,V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.73/200.91 => ( 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))) % 199.73/200.91 => 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))) ) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_add__num__frac,axiom, % 199.73/200.91 ! [V_x,V_z,V_y,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_add__divide__eq__iff,axiom, % 199.73/200.91 ! [V_y,V_x,V_z,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_add__frac__num,axiom, % 199.73/200.91 ! [V_z,V_x,V_y,T_a] : % 199.73/200.91 ( class_Fields_Ofield__inverse__zero(T_a) % 199.73/200.91 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__add__eq__iff,axiom, % 199.73/200.91 ! [V_y,V_x,V_z,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_add__frac__eq,axiom, % 199.73/200.91 ! [V_w,V_x,V_z,V_y,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_diff__frac__eq,axiom, % 199.73/200.91 ! [V_w,V_x,V_z,V_y,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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)) ) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_divide__diff__eq__iff,axiom, % 199.73/200.91 ! [V_y,V_x,V_z,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_diff__divide__eq__iff,axiom, % 199.73/200.91 ! [V_y,V_x,V_z,T_a] : % 199.73/200.91 ( class_Fields_Ofield(T_a) % 199.73/200.91 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.73/200.91 => 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) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_gt__half__sum,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.73/200.91 => 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)) ) ) ). % 199.73/200.91 % 199.73/200.91 fof(fact_less__half__sum,axiom, % 199.73/200.91 ! [V_b,V_a,T_a] : % 199.73/200.91 ( class_Fields_Olinordered__field(T_a) % 199.73/200.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.73/200.92 => 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))))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_abs__div__pos,axiom, % 199.73/200.92 ! [V_x,V_y,T_a] : % 199.73/200.92 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__divide__eq,axiom, % 199.73/200.92 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.92 => 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))) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divide__le__eq,axiom, % 199.73/200.92 ! [V_a_2,V_c_2,V_b_2,T_b] : % 199.73/200.92 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.73/200.92 => ( 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)) % 199.73/200.92 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.92 => 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))) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pos__le__divide__eq,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.73/200.92 ( class_Fields_Olinordered__field(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pos__divide__le__eq,axiom, % 199.73/200.92 ! [V_a_2,V_b_2,V_c_2,T_b] : % 199.73/200.92 ( class_Fields_Olinordered__field(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 199.73/200.92 => ( 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)) % 199.73/200.92 <=> 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mult__imp__div__pos__le,axiom, % 199.73/200.92 ! [V_z,V_x,V_y,T_a] : % 199.73/200.92 ( class_Fields_Olinordered__field(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.92 => ( 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))) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mult__imp__le__div__pos,axiom, % 199.73/200.92 ! [V_x,V_z,V_y,T_a] : % 199.73/200.92 ( class_Fields_Olinordered__field(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_neg__le__divide__eq,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.73/200.92 ( class_Fields_Olinordered__field(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Nitpick_Orefl_H__def,axiom, % 199.73/200.92 ! [V_r_2,T_b] : % 199.73/200.92 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 199.73/200.92 <=> ! [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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 199.73/200.92 ! [V_w] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( 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))) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ 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))) % 199.73/200.92 => 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)))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg_Osimps,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => 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) ) % 199.73/200.92 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg__eqn__number__of,axiom, % 199.73/200.92 ! [V_w,V_v] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( 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))) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ 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))) % 199.73/200.92 => 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)))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg__eqn,axiom, % 199.73/200.92 ! [V_a,V_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.73/200.92 => 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) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg__0,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg__correct,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg__div__mod,axiom, % 199.73/200.92 ! [V_l,V_k] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__int__def,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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))) ) ) ) ) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => 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))) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__step,axiom, % 199.73/200.92 ! [V_m,V_n] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__int__pdivmod,axiom, % 199.73/200.92 ! [V_l_2,V_k_2] : % 199.73/200.92 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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) ) % 199.73/200.92 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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)))) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__int__code,axiom, % 199.73/200.92 ! [V_l_2,V_k_2] : % 199.73/200.92 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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) ) % 199.73/200.92 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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)))) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_negDivAlg_Opsimps,axiom, % 199.73/200.92 ! [V_b_2,V_a_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( ( 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))) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ ( 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))) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_accp__downward,axiom, % 199.73/200.92 ! [V_a_2,V_b_2,V_r_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 199.73/200.92 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_accp_Oequations,axiom, % 199.73/200.92 ! [V_a_2,V_r_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 199.73/200.92 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_accp_Osimps,axiom, % 199.73/200.92 ! [V_a_2,V_r_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 199.73/200.92 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_negateSnd__def,axiom, % 199.73/200.92 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apsnd__conv,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apsnd__compose,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__zero,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_accp__subset,axiom, % 199.73/200.92 ! [V_R2_2,V_R1_2,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__base,axiom, % 199.73/200.92 ! [V_n,V_m] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_negateSnd__eq,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__div__mod,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__int__rel__neg,axiom, % 199.73/200.92 ! [V_qr,V_b,V_a] : % 199.73/200.92 ( 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)) % 199.73/200.92 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__if,axiom, % 199.73/200.92 ! [V_m_2,V_na_2] : % 199.73/200.92 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 199.73/200.92 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) ) % 199.73/200.92 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 199.73/200.92 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2),V_na_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pdivmod__def,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pdivmod__posDivAlg,axiom, % 199.73/200.92 ! [V_k,V_l] : % 199.73/200.92 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg_Opsimps,axiom, % 199.73/200.92 ! [V_b_2,V_a_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => 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) ) % 199.73/200.92 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_norm__frac_Opsimps,axiom, % 199.73/200.92 ! [V_b_2,V_a_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.73/200.92 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.73/200.92 => 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))) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_negDivAlg_Opinduct,axiom, % 199.73/200.92 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ! [B_a,B_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( ~ ( 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))) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 199.73/200.92 ! [V_c,V_r,V_q,V_b,V_a] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.73/200.92 => 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)))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 199.73/200.92 ! [V_a,V_r,V_q,V_c,V_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.73/200.92 => 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)))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__rel__unique,axiom, % 199.73/200.92 ! [V_qr_H,V_qr,V_n,V_m] : % 199.73/200.92 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 199.73/200.92 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 199.73/200.92 => V_qr = V_qr_H ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 199.73/200.92 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__eq,axiom, % 199.73/200.92 ! [V_qr,V_n,V_m] : % 199.73/200.92 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 199.73/200.92 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__def,axiom, % 199.73/200.92 ! [V_na_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_na_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_na_2)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__eq,axiom, % 199.73/200.92 ! [V_r,V_q,V_n,V_m] : % 199.73/200.92 ( 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))) % 199.73/200.92 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__eq,axiom, % 199.73/200.92 ! [V_r,V_q,V_n,V_m] : % 199.73/200.92 ( 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))) % 199.73/200.92 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__rel,axiom, % 199.73/200.92 ! [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)))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__rel__add1__eq,axiom, % 199.73/200.92 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( 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))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.73/200.92 => 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)))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_posDivAlg_Opinduct,axiom, % 199.73/200.92 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ! [B_a,B_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_nat__gcd_Opsimps,axiom, % 199.73/200.92 ! [V_y_2,V_x_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.92 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 199.73/200.92 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 199.73/200.92 ! [V_f_2,V_A_2,T_b] : % 199.73/200.92 ( ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.92 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__pos__neg__1__number__of,axiom, % 199.73/200.92 ! [V_w] : % 199.73/200.92 ( 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))) % 199.73/200.92 => 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))))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_in__measure,axiom, % 199.73/200.92 ! [V_f_2,V_y_2,V_x_2,T_b] : % 199.73/200.92 ( hBOOL(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))) % 199.73/200.92 <=> 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_snd__conv,axiom, % 199.73/200.92 ! [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 ). % 199.73/200.92 % 199.73/200.92 fof(fact_snd__eqD,axiom, % 199.73/200.92 ! [V_a,V_y,V_x,T_a,T_b] : % 199.73/200.92 ( 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 % 199.73/200.92 => V_y = V_a ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apsnd__eq__conv,axiom, % 199.73/200.92 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 199.73/200.92 ( 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) % 199.73/200.92 <=> 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_snd__apsnd,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_snd__def,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__int__def,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__neg__pos,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__pos__pos,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__pos__pos__1__number__of,axiom, % 199.73/200.92 ! [V_w] : % 199.73/200.92 ( 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))) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__pos__neg,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => 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)))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__neg__neg,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => 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)))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_norm__frac_Opinduct,axiom, % 199.73/200.92 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ! [B_a,B_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__pos__neg__1__number__of,axiom, % 199.73/200.92 ! [V_w] : % 199.73/200.92 ( 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))) % 199.73/200.92 => 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))))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_nat__gcd_Opinduct,axiom, % 199.73/200.92 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ! [B_x,B_y] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mlex__leq,axiom, % 199.73/200.92 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( hBOOL(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)) % 199.73/200.92 => hBOOL(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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mlex__less,axiom, % 199.73/200.92 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.73/200.92 ( 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))) % 199.73/200.92 => hBOOL(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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fst__eqD,axiom, % 199.73/200.92 ! [V_a,V_y,V_x,T_b,T_a] : % 199.73/200.92 ( 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 % 199.73/200.92 => V_x = V_a ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fst__conv,axiom, % 199.73/200.92 ! [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 ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pair__fst__snd__eq,axiom, % 199.73/200.92 ! [T_c,T_b,V_t_2,V_s_2] : % 199.73/200.92 ( V_s_2 = V_t_2 % 199.73/200.92 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 199.73/200.92 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_prod__eqI,axiom, % 199.73/200.92 ! [V_q,V_p,T_b,T_a] : % 199.73/200.92 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 199.73/200.92 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 199.73/200.92 => V_p = V_q ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fst__apsnd,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fst__def,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pair__collapse,axiom, % 199.73/200.92 ! [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 ). % 199.73/200.92 % 199.73/200.92 fof(fact_surjective__pairing,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_split__comp,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_prod__case__beta,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__int__def,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mod__nat__def,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_split__beta,axiom, % 199.73/200.92 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_split__comp__eq,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_split__def,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_The__split,axiom, % 199.73/200.92 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__neg__pos,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__pos__pos,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__pos__pos__1__number__of,axiom, % 199.73/200.92 ! [V_w] : % 199.73/200.92 ( 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))) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__pos__neg,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => 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)))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__neg__neg,axiom, % 199.73/200.92 ! [V_b,V_a] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => 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)))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_prod__size__simp,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_exI__realizer,axiom, % 199.73/200.92 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_conjI__realizer,axiom, % 199.73/200.92 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] : % 199.73/200.92 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 199.73/200.92 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 199.73/200.92 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 199.73/200.92 & 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)))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_prod_Orecs,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Oremove,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 199.73/200.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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)))))) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Osingleton,axiom, % 199.73/200.92 ! [V_x_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => 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 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_div__nat__def,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max__ge,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max__in,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Oin__idem,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_OF__eq,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max__mono,axiom, % 199.73/200.92 ! [V_N_2,V_M_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 199.73/200.92 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.92 => 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))) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max__insert,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Osubset__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Oeq__fold__idem_H,axiom, % 199.73/200.92 ! [V_a_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Oinsert,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Oinsert__remove,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.73/200.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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)))))) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Oeq__fold_H,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_minus__Min__eq__Max,axiom, % 199.73/200.92 ! [V_S_2,T_b] : % 199.73/200.92 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.92 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_minus__Max__eq__Min,axiom, % 199.73/200.92 ! [V_S_2,T_b] : % 199.73/200.92 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.92 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_divmod__nat__rel__def,axiom, % 199.73/200.92 ! [V_qr_2,V_na_2,V_m_2] : % 199.73/200.92 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2)) % 199.73/200.92 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)) % 199.73/200.92 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.92 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.73/200.92 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 199.73/200.92 => ( 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))) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)) ) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 199.73/200.92 & 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))) ) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Oclosed,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( ! [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)))))) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OInf__le__Sup,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_in__lex__prod,axiom, % 199.73/200.92 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 <=> ( hBOOL(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)) % 199.73/200.92 | ( V_a_2 = V_a_H_2 % 199.73/200.92 & 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_in__finite__psubset,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.92 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 199.73/200.92 ! [V_x_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => 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 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 199.73/200.92 ! [V_a_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.92 => 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 ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 199.73/200.92 ! [V_a_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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 ) % 199.73/200.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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)))))) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oremove,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 199.73/200.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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)))))) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_same__fstI,axiom, % 199.73/200.92 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 199.73/200.92 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.73/200.92 => ( 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))) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( ! [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)))))) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apfst__apsnd,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apsnd__apfst,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apfst__conv,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apfst__compose,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apfst__eq__conv,axiom, % 199.73/200.92 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 199.73/200.92 ( 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) % 199.73/200.92 <=> 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fst__apfst,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_snd__apfst,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_apsnd__apfst__commute,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pair__lessI2,axiom, % 199.73/200.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 199.73/200.92 ! [V_N_2,V_h_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( ! [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)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.92 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 199.73/200.92 ! [V_N_2,V_h_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( ! [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)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.92 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max_Ohom__commute,axiom, % 199.73/200.92 ! [V_N_2,V_h_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( ! [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)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.92 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pair__lessI1,axiom, % 199.73/200.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pair__leqI2,axiom, % 199.73/200.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_smax__insertI,axiom, % 199.73/200.92 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_smin__insertI,axiom, % 199.73/200.92 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pair__leqI1,axiom, % 199.73/200.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_smin__emptyI,axiom, % 199.73/200.92 ! [V_X_2] : % 199.73/200.92 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_smax__emptyI,axiom, % 199.73/200.92 ! [V_Y_2] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 199.73/200.92 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_wmin__insertI,axiom, % 199.73/200.92 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_wmax__insertI,axiom, % 199.73/200.92 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_wmin__emptyI,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_wmax__emptyI,axiom, % 199.73/200.92 ! [V_X_2] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_max__rpair__set,axiom, % 199.73/200.92 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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__rpair__set,axiom, % 199.73/200.92 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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__strict__def,axiom, % 199.73/200.92 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 199.73/200.92 % 199.73/200.92 fof(fact_less__than__iff,axiom, % 199.73/200.92 ! [V_y_2,V_x_2] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_pair__less__def,axiom, % 199.73/200.92 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mlex__prod__def,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__weak__def,axiom, % 199.73/200.92 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)))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_intrel__iff,axiom, % 199.73/200.92 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_rp__inv__image__rp,axiom, % 199.73/200.92 ! [V_f_2,T_c,V_Pa_2,T_b] : % 199.73/200.92 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 199.73/200.92 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup1E,axiom, % 199.73/200.92 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 199.73/200.92 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup1CI,axiom, % 199.73/200.92 ! [T_b,V_A_2,V_x_2,V_B_2] : % 199.73/200.92 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 199.73/200.92 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UnE,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UnCI,axiom, % 199.73/200.92 ! [V_A_2,V_B_2,V_c_2,T_b] : % 199.73/200.92 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UnI2,axiom, % 199.73/200.92 ! [V_A_2,V_B_2,V_c_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UnI1,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__iff,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__insert__right,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__insert__left,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__fun__def,axiom, % 199.73/200.92 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_less__supI1,axiom, % 199.73/200.92 ! [V_b,V_a,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_less__supI2,axiom, % 199.73/200.92 ! [V_a,V_b,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup1I1,axiom, % 199.73/200.92 ! [V_B_2,T_b,V_x_2,V_A_2] : % 199.73/200.92 ( hBOOL(hAPP(V_A_2,V_x_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup1I2,axiom, % 199.73/200.92 ! [V_A_2,T_b,V_x_2,V_B_2] : % 199.73/200.92 ( hBOOL(hAPP(V_B_2,V_x_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__absorb,axiom, % 199.73/200.92 ! [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 ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__commute,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__left__absorb,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__left__commute,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__assoc,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_bex__Un,axiom, % 199.73/200.92 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 199.73/200.92 ( ? [B_x] : % 199.73/200.92 ( 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))) % 199.73/200.92 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.73/200.92 <=> ( ? [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.92 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.73/200.92 | ? [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 199.73/200.92 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ball__Un,axiom, % 199.73/200.92 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 199.73/200.92 ( ! [B_x] : % 199.73/200.92 ( 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))) % 199.73/200.92 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.73/200.92 <=> ( ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.92 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.73/200.92 & ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 199.73/200.92 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup_Oidem,axiom, % 199.73/200.92 ! [V_a,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__idem,axiom, % 199.73/200.92 ! [V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup_Ocommute,axiom, % 199.73/200.92 ! [V_b,V_a,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_inf__sup__aci_I5_J,axiom, % 199.73/200.92 ! [V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Olattice(T_a) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__commute,axiom, % 199.73/200.92 ! [V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup_Oleft__idem,axiom, % 199.73/200.92 ! [V_b,V_a,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_inf__sup__aci_I8_J,axiom, % 199.73/200.92 ! [V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Olattice(T_a) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__left__idem,axiom, % 199.73/200.92 ! [V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup_Oleft__commute,axiom, % 199.73/200.92 ! [V_c,V_a,V_b,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_inf__sup__aci_I7_J,axiom, % 199.73/200.92 ! [V_z,V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Olattice(T_a) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__left__commute,axiom, % 199.73/200.92 ! [V_z,V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup_Oassoc,axiom, % 199.73/200.92 ! [V_c,V_b,V_a,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_inf__sup__aci_I6_J,axiom, % 199.73/200.92 ! [V_z,V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Olattice(T_a) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__assoc,axiom, % 199.73/200.92 ! [V_z,V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__apply,axiom, % 199.73/200.92 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oidem,axiom, % 199.73/200.92 ! [V_x,T_a] : % 199.73/200.92 ( class_Lattices_Olattice(T_a) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__Diff__cancel,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__Diff__cancel2,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__Diff,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__Un,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__mono,axiom, % 199.73/200.92 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__least,axiom, % 199.73/200.92 ! [V_B_2,V_C_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__absorb2,axiom, % 199.73/200.92 ! [V_A_2,V_B_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__absorb1,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_subset__Un__eq,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.92 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__upper2,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__upper1,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_inf__sup__ord_I3_J,axiom, % 199.73/200.92 ! [V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Olattice(T_a) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__ge1,axiom, % 199.73/200.92 ! [V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_inf__sup__ord_I4_J,axiom, % 199.73/200.92 ! [V_x,V_y,T_a] : % 199.73/200.92 ( class_Lattices_Olattice(T_a) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__ge2,axiom, % 199.73/200.92 ! [V_x,V_y,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__iff__sup,axiom, % 199.73/200.92 ! [V_y_2,V_x_2,T_b] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.73/200.92 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__sup__iff,axiom, % 199.73/200.92 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_b) % 199.73/200.92 => ( 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)) % 199.73/200.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__supI1,axiom, % 199.73/200.92 ! [V_b,V_a,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__supI2,axiom, % 199.73/200.92 ! [V_a,V_b,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__absorb2,axiom, % 199.73/200.92 ! [V_y,V_x,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__absorb1,axiom, % 199.73/200.92 ! [V_x,V_y,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__supI,axiom, % 199.73/200.92 ! [V_b,V_x,V_a,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__least,axiom, % 199.73/200.92 ! [V_z,V_x,V_y,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__mono,axiom, % 199.73/200.92 ! [V_d,V_b,V_c,V_a,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__supE,axiom, % 199.73/200.92 ! [V_x,V_b,V_a,T_a] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_a) % 199.73/200.92 => ( 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)) % 199.73/200.92 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.73/200.92 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__max,axiom, % 199.73/200.92 ! [T_b] : % 199.73/200.92 ( ( class_Lattices_Osemilattice__sup(T_b) % 199.73/200.92 & class_Orderings_Olinorder(T_b) ) % 199.73/200.92 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__empty,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__empty__right,axiom, % 199.73/200.92 ! [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 ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__empty__left,axiom, % 199.73/200.92 ! [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 ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__eq__bot__iff,axiom, % 199.73/200.92 ! [V_y_2,V_x_2,T_b] : % 199.73/200.92 ( class_Lattices_Obounded__lattice__bot(T_b) % 199.73/200.92 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 199.73/200.92 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 199.73/200.92 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__bot__right,axiom, % 199.73/200.92 ! [V_x,T_a] : % 199.73/200.92 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__bot__left,axiom, % 199.73/200.92 ! [V_x,T_a] : % 199.73/200.92 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.73/200.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__Un,axiom, % 199.73/200.92 ! [V_G_2,V_F_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) % 199.73/200.92 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.73/200.92 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__UnI,axiom, % 199.73/200.92 ! [V_G_2,V_F_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) % 199.73/200.92 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fun__left__comm__idem__sup,axiom, % 199.73/200.92 ! [T_b] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_b) % 199.73/200.92 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__Un__eq,axiom, % 199.73/200.92 ! [V_x_2,V_S_2,V_R_2,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_insert__is__Un,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Diff__partition,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.92 => 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 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Diff__subset__conv,axiom, % 199.73/200.92 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_inj__on__Un__image__eq__iff,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 => ( 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) % 199.73/200.92 <=> V_A_2 = V_B_2 ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Compl__Diff__eq,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_rp__inv__image__def,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.73/200.92 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fold__sup__insert,axiom, % 199.73/200.92 ! [V_a_2,V_b_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_folding__one__idem_Ounion__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.73/200.92 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_folding__idem_Ounion__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.73/200.92 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__le__fold__sup,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Osemilattice__sup(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.92 => 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))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_union__fold__insert,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_fold1__Un2,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Min__Un,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Max__Un,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__eq__fold__image,axiom, % 199.73/200.92 ! [V_f_2,T_c,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_max__weak__def,axiom, % 199.73/200.92 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)))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_in__inv__image,axiom, % 199.73/200.92 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 199.73/200.92 ( hBOOL(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))) % 199.73/200.92 <=> 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I4_J,axiom, % 199.73/200.92 ! [V_u_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oremove,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 199.73/200.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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)))))) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__greaterThanAtMost,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__greaterThanAtMost__int,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2] : % 199.73/200.92 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.92 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__nat__def,axiom, % 199.73/200.92 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Osingleton,axiom, % 199.73/200.92 ! [V_x_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => 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 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2] : % 199.73/200.92 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.92 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_greaterThanAtMost__empty,axiom, % 199.73/200.92 ! [V_k_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 199.73/200.92 ! [V_l_2,V_k_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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) % 199.73/200.92 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_greaterThanAtMost__empty__iff,axiom, % 199.73/200.92 ! [V_l_2,V_k_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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)) % 199.73/200.92 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I20_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__greaterThanAtMost,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__Un__eq2,axiom, % 199.73/200.92 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oin__idem,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_OF__eq,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oinsert__idem,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Osubset__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__greaterThanAtMost__int,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Ounion__idem,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 199.73/200.92 ! [V_a_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_max__strict__def,axiom, % 199.73/200.92 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I16_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_measure__def,axiom, % 199.73/200.92 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oinsert,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oinsert__remove,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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 ) % 199.73/200.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.92 => 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)))))) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 199.73/200.92 ! [V_x_2,V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_max__ext__additive,axiom, % 199.73/200.92 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 => ( 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))) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_max__extp__max__ext__eq,axiom, % 199.73/200.92 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 199.73/200.92 ( 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) % 199.73/200.92 <=> 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_irrefl__def,axiom, % 199.73/200.92 ! [V_r_2,T_b] : % 199.73/200.92 ( c_Relation_Oirrefl(T_b,V_r_2) % 199.73/200.92 <=> ! [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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Field__insert,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Oclosed,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => ( ! [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)))))) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup2E,axiom, % 199.73/200.92 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup2CI,axiom, % 199.73/200.92 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 199.73/200.92 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 199.73/200.92 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup2I1,axiom, % 199.73/200.92 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup2I2,axiom, % 199.73/200.92 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Field__empty,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mono__Field,axiom, % 199.73/200.92 ! [V_s_2,V_r_2,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Field__Un,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__Field,axiom, % 199.73/200.92 ! [V_r_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.73/200.92 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Min_Ohom__commute,axiom, % 199.73/200.92 ! [V_N_2,V_h_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( ! [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)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.92 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Sup__fin_Ohom__commute,axiom, % 199.73/200.92 ! [V_N_2,V_h_2,T_b] : % 199.73/200.92 ( class_Lattices_Olattice(T_b) % 199.73/200.92 => ( ! [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)) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.92 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_negD,axiom, % 199.73/200.92 ! [V_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.73/200.92 => ? [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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUPR__fold__sup,axiom, % 199.73/200.92 ! [V_f_2,V_A_2,T_b,T_c] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP1__I,axiom, % 199.73/200.92 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP2__I,axiom, % 199.73/200.92 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__UN,axiom, % 199.73/200.92 ! [V_B_2,T_c,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.92 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__o,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_sup__SUPR__fold__sup,axiom, % 199.73/200.92 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__eq__UN,axiom, % 199.73/200.92 ! [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)))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__I,axiom, % 199.73/200.92 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le__SUPI,axiom, % 199.73/200.92 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP__subset,axiom, % 199.73/200.92 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ball__UN,axiom, % 199.73/200.92 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.92 ( ! [B_x] : % 199.73/200.92 ( 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))) % 199.73/200.92 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.92 => ! [B_xa] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 199.73/200.92 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP2__iff,axiom, % 199.73/200.92 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> ? [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP1__iff,axiom, % 199.73/200.92 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> ? [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__UN__flatten,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__simps_I9_J,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__extend__simps_I9_J,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__iff,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 199.73/200.92 ( 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))) % 199.73/200.92 <=> ? [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UNION__empty__conv_I2_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b,T_c] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.92 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__constant,axiom, % 199.73/200.92 ! [V_c_2,T_c,T_b,V_A_2] : % 199.73/200.92 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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 ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__empty2,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UNION__empty__conv_I1_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_c,T_b] : % 199.73/200.92 ( 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) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.92 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__subset__iff,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__simps_I10_J,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__UN,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__extend__simps_I10_J,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__Un,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__Un__distrib,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP__commute,axiom, % 199.73/200.92 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUPR__apply,axiom, % 199.73/200.92 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__extend__simps_I6_J,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__simps_I6_J,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__insert__distrib,axiom, % 199.73/200.92 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__upper,axiom, % 199.73/200.92 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__absorb,axiom, % 199.73/200.92 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__simps_I1_J,axiom, % 199.73/200.92 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 199.73/200.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__singleton,axiom, % 199.73/200.92 ! [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 ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__extend__simps_I1_J,axiom, % 199.73/200.92 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 199.73/200.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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))) ) % 199.73/200.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP__le__iff,axiom, % 199.73/200.92 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.92 => ( 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)) % 199.73/200.92 <=> ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_less__SUP__iff,axiom, % 199.73/200.92 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 199.73/200.92 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.92 & class_Orderings_Olinorder(T_b) ) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> ? [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__extend__simps_I2_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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 ) % 199.73/200.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__extend__simps_I3_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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 ) % 199.73/200.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__simps_I2_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__simps_I3_J,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__insert,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SUP__const,axiom, % 199.73/200.92 ! [V_M_2,T_b,V_A_2,T_c] : % 199.73/200.92 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.92 => 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 ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_nat__def,axiom, % 199.73/200.92 ! [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)))))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_strong__setprod__reindex__cong,axiom, % 199.73/200.92 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 199.73/200.92 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.73/200.92 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.73/200.92 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 199.73/200.92 => ( ! [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.92 => 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) ) % 199.73/200.92 => 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) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_setprod__mono__one__left,axiom, % 199.73/200.92 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.73/200.92 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.73/200.92 => ( ! [B_x] : % 199.73/200.92 ( 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))) % 199.73/200.92 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.73/200.92 => 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) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_setprod__mono__one__right,axiom, % 199.73/200.92 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.73/200.92 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.73/200.92 => ( ! [B_x] : % 199.73/200.92 ( 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))) % 199.73/200.92 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.73/200.92 => 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) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Rep__Integ__inject,axiom, % 199.73/200.92 ! [V_y_2,V_x_2] : % 199.73/200.92 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 199.73/200.92 <=> V_x_2 = V_y_2 ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__Pow,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I19_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_equiv__intrel__iff,axiom, % 199.73/200.92 ! [V_y_2,V_x_2] : % 199.73/200.92 ( 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)))) % 199.73/200.92 <=> 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I3_J,axiom, % 199.73/200.92 ! [V_u_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__atLeastLessThan,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__atLeastAtMost,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__atLeastAtMost__int,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__atLeastLessThan__int,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_PowI,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pow__insert,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pow__empty,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__add__atLeastLessThan,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__Pow__iff,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 199.73/200.92 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Image__empty,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pow__bottom,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pow__iff,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 199.73/200.92 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_PowD,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pow__mono,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__Pow__surj,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 199.73/200.92 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 199.73/200.92 => 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) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__eq__iff,axiom, % 199.73/200.92 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 199.73/200.92 => ( 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) % 199.73/200.92 <=> ( V_a_2 = V_c_2 % 199.73/200.92 & V_b_2 = V_d_2 ) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 199.73/200.92 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( 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) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 199.73/200.92 => V_a_2 = V_c_2 ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 199.73/200.92 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( 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) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 199.73/200.92 => V_b_2 = V_d_2 ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pow__top,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__Suc__atLeastLessThan,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Cantors__paradox,axiom, % 199.73/200.92 ! [V_A_2,T_b] : % 199.73/200.92 ~ ? [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__Suc__atLeastAtMost,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Pow__not__empty,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__Pow__subset,axiom, % 199.73/200.92 ! [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)))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I21_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Image__Un,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__add__atLeastAtMost,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 199.73/200.92 ! [V_na_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Image__UN,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_UN__Pow__subset,axiom, % 199.73/200.92 ! [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)))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 199.73/200.92 ! [V_na_2,V_m_2] : % 199.73/200.92 ( c_Nat__Transfer_Ois__nat(V_m_2) % 199.73/200.92 => ( c_Nat__Transfer_Ois__nat(V_na_2) % 199.73/200.92 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_na_2))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan0,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I6_J,axiom, % 199.73/200.92 ! [V_u_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__atLeastLessThan,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Image__mono,axiom, % 199.73/200.92 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Un__Image,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 199.73/200.92 ! [V_y_2,V_x_2] : % 199.73/200.92 ( c_Nat__Transfer_Ois__nat(V_x_2) % 199.73/200.92 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I18_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastatMost__empty__iff2,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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) % 199.73/200.92 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastatMost__empty__iff,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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)) % 199.73/200.92 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastatMost__empty,axiom, % 199.73/200.92 ! [V_a_2,V_b_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastatMost__subset__iff,axiom, % 199.73/200.92 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 199.73/200.92 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__empty,axiom, % 199.73/200.92 ! [V_a_2,V_b_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__empty__iff,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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)) % 199.73/200.92 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__empty__iff2,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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) % 199.73/200.92 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastAtMost__singleton,axiom, % 199.73/200.92 ! [V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastAtMost__singleton__iff,axiom, % 199.73/200.92 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> ( V_a_2 = V_b_2 % 199.73/200.92 & V_b_2 = V_c_2 ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastAtMost__singleton_H,axiom, % 199.73/200.92 ! [V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( V_a_2 = V_b_2 % 199.73/200.92 => 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))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__subset__iff,axiom, % 199.73/200.92 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( 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))) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 199.73/200.92 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I17_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__uminus__atLeastAtMost,axiom, % 199.73/200.92 ! [V_y_2,V_x_2,T_b] : % 199.73/200.92 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__diff,axiom, % 199.73/200.92 ! [V_m_2,V_na_2,V_i_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2)) % 199.73/200.92 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_na_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_na_2),V_m_2) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__Pow__mono,axiom, % 199.73/200.92 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.92 ( 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)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 199.73/200.92 ! [V_y_2,V_x_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.73/200.92 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Image__iff,axiom, % 199.73/200.92 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 199.73/200.92 <=> ? [B_x] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.92 & 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_rev__ImageI,axiom, % 199.73/200.92 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.92 => ( 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)) % 199.73/200.92 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__atLeastAtMost,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastAtMostSuc__conv,axiom, % 199.73/200.92 ! [V_na_2,V_m_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 199.73/200.92 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__singleton,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Image__eq__UN,axiom, % 199.73/200.92 ! [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))))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastatMost__psubset__iff,axiom, % 199.73/200.92 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.92 ( class_Orderings_Oorder(T_b) % 199.73/200.92 => ( 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))) % 199.73/200.92 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 199.73/200.92 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 199.73/200.92 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 199.73/200.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 199.73/200.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThan__add__Un,axiom, % 199.73/200.92 ! [V_k_2,V_j_2,V_i_2] : % 199.73/200.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I22_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_subset__card__intvl__is__intvl,axiom, % 199.73/200.92 ! [V_k_2,V_A_2] : % 199.73/200.92 ( 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))))) % 199.73/200.92 => 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__uminus__greaterThanAtMost,axiom, % 199.73/200.92 ! [V_y_2,V_x_2,T_b] : % 199.73/200.92 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__uminus__atLeastLessThan,axiom, % 199.73/200.92 ! [V_y_2,V_x_2,T_b] : % 199.73/200.92 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__add__int__atLeastLessThan,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__atLeastZeroLessThan__int,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__atLeastLessThan__int,axiom, % 199.73/200.92 ! [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)) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 199.73/200.92 ! [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) ). % 199.73/200.92 % 199.73/200.92 fof(fact_atLeastLessThanSuc,axiom, % 199.73/200.92 ! [V_na_2,V_m_2] : % 199.73/200.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.92 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_na_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.92 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_simp__from__to,axiom, % 199.73/200.92 ! [V_i_2,V_j_2] : % 199.73/200.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 199.73/200.92 => 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)) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I15_J,axiom, % 199.73/200.92 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.73/200.92 => 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) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Image__singleton__iff,axiom, % 199.73/200.92 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 199.73/200.92 ( 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)))))) % 199.73/200.92 <=> 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_card__atLeastAtMost__int,axiom, % 199.73/200.92 ! [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))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 199.73/200.92 ! [V_x_2,V_y_2,V_c_2] : % 199.73/200.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 199.73/200.92 => 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)) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 199.73/200.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 199.73/200.92 => 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))) ) % 199.73/200.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 199.73/200.92 => 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)) ) ) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_ivl__disj__un_I5_J,axiom, % 199.73/200.92 ! [V_u_2,V_l_2,T_b] : % 199.73/200.92 ( class_Orderings_Olinorder(T_b) % 199.73/200.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.92 => 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) ) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_of__int,axiom, % 199.73/200.92 ! [V_j_2,V_i_2,T_b] : % 199.73/200.92 ( class_Rings_Oring__1(T_b) % 199.73/200.92 => 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)) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_One__int__def,axiom, % 199.73/200.92 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))))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_mult,axiom, % 199.73/200.92 ! [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))))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_le,axiom, % 199.73/200.92 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 199.73/200.92 ( 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))))))) % 199.73/200.92 <=> 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))) ) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Rep__Integ__inverse,axiom, % 199.73/200.92 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 199.73/200.92 % 199.73/200.92 fof(fact_minus,axiom, % 199.73/200.92 ! [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))))) ). % 199.73/200.92 % 199.73/200.92 fof(fact_Zero__int__def,axiom, % 199.73/200.93 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))))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_int__def,axiom, % 199.73/200.93 ! [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))))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_add,axiom, % 199.73/200.93 ! [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))))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_nat,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_minus__int__def,axiom, % 199.73/200.93 ! [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))))))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_less,axiom, % 199.73/200.93 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 199.73/200.93 ( 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))))))) % 199.73/200.93 <=> 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_all__nat__less,axiom, % 199.73/200.93 ! [V_Pa_2,V_na_2] : % 199.73/200.93 ( ! [B_m] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 199.73/200.93 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.73/200.93 <=> ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2))) % 199.73/200.93 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ex__nat__less,axiom, % 199.73/200.93 ! [V_Pa_2,V_na_2] : % 199.73/200.93 ( ? [B_m] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 199.73/200.93 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.73/200.93 <=> ? [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2))) % 199.73/200.93 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_all__nat__less__eq,axiom, % 199.73/200.93 ! [V_Pa_2,V_na_2] : % 199.73/200.93 ( ! [B_m] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 199.73/200.93 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.73/200.93 <=> ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))) % 199.73/200.93 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ex__nat__less__eq,axiom, % 199.73/200.93 ! [V_Pa_2,V_na_2] : % 199.73/200.93 ( ? [B_m] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 199.73/200.93 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.73/200.93 <=> ? [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))) % 199.73/200.93 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_bset_I8_J,axiom, % 199.73/200.93 ! [V_B_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 199.73/200.93 => 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))) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_aset_I6_J,axiom, % 199.73/200.93 ! [V_A_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Powp__Pow__eq,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_bset_I3_J,axiom, % 199.73/200.93 ! [V_B_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xa] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 199.73/200.93 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 199.73/200.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Powp__mono,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.93 => 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_aset_I4_J,axiom, % 199.73/200.93 ! [V_A_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( B_x != V_t_2 % 199.73/200.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_bset_I4_J,axiom, % 199.73/200.93 ! [V_B_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( B_x != V_t_2 % 199.73/200.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_bset_I7_J,axiom, % 199.73/200.93 ! [V_B_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 199.73/200.93 => 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))) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_aset_I5_J,axiom, % 199.73/200.93 ! [V_A_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_aset_I3_J,axiom, % 199.73/200.93 ! [V_A_2,V_t_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xa] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 199.73/200.93 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 199.73/200.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_aset_I8_J,axiom, % 199.73/200.93 ! [V_t_2,V_A_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_bset_I6_J,axiom, % 199.73/200.93 ! [V_t_2,V_B_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_eq__Abs__Integ,axiom, % 199.73/200.93 ! [V_z_2] : % 199.73/200.93 ~ ! [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))))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_periodic__finite__ex,axiom, % 199.73/200.93 ! [V_Pa_2,V_d_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 199.73/200.93 => ( ! [B_x,B_k] : % 199.73/200.93 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.73/200.93 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 199.73/200.93 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.73/200.93 <=> ? [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_aset_I7_J,axiom, % 199.73/200.93 ! [V_t_2,V_A_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_bset_I5_J,axiom, % 199.73/200.93 ! [V_t_2,V_B_2,V_D_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.73/200.93 => ! [B_x] : % 199.73/200.93 ( ! [B_xa] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ! [B_xb] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.73/200.93 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_image__atLeastZeroLessThan__int,axiom, % 199.73/200.93 ! [V_u_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 199.73/200.93 => 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_finite__lessThan,axiom, % 199.73/200.93 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__eq__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 199.73/200.93 <=> V_x_2 = V_y_2 ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card__lessThan,axiom, % 199.73/200.93 ! [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 ). % 199.73/200.93 % 199.73/200.93 fof(fact_atLeast0LessThan,axiom, % 199.73/200.93 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__0,axiom, % 199.73/200.93 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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__Suc,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__iff,axiom, % 199.73/200.93 ! [V_k_2,V_i_2,T_b] : % 199.73/200.93 ( class_Orderings_Oord(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__subset__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( 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))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__strict__subset__iff,axiom, % 199.73/200.93 ! [V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_na_2))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_single__Diff__lessThan,axiom, % 199.73/200.93 ! [V_k_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I8_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 199.73/200.93 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_arith__series__int,axiom, % 199.73/200.93 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Id__on__def,axiom, % 199.73/200.93 ! [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)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_arith__series__nat,axiom, % 199.73/200.93 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_arith__series__general,axiom, % 199.73/200.93 ! [V_na_2,V_d_2,V_a_2,T_b] : % 199.73/200.93 ( class_Rings_Ocomm__semiring__1(T_b) % 199.73/200.93 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__abs,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.73/200.93 => 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__abs__ge__zero,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.73/200.93 => 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__divide__distrib,axiom, % 199.73/200.93 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Fields_Ofield(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_abs__setsum__abs,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__addf,axiom, % 199.73/200.93 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__right__distrib,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 199.73/200.93 ( class_Rings_Osemiring__0(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__left__distrib,axiom, % 199.73/200.93 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Rings_Osemiring__0(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__product,axiom, % 199.73/200.93 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Rings_Osemiring__0(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_of__int__setsum,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Rings_Oring__1(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_of__nat__setsum,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Rings_Osemiring__1(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_int__setsum,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__commute,axiom, % 199.73/200.93 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__0,axiom, % 199.73/200.93 ! [V_A_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__negf,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Oab__group__add(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__subtractf,axiom, % 199.73/200.93 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Oab__group__add(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__empty,axiom, % 199.73/200.93 ! [V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Oempty,axiom, % 199.73/200.93 ! [V_g_2,T_c,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Oinfinite,axiom, % 199.73/200.93 ! [V_g_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__infinite,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__eq__0__iff,axiom, % 199.73/200.93 ! [V_f_2,V_F_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.73/200.93 => ( 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) % 199.73/200.93 <=> ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 199.73/200.93 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Odistrib,axiom, % 199.73/200.93 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card__eq__setsum,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 199.73/200.93 ! [V_na_2,V_m_2,V_f_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 199.73/200.93 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 199.73/200.93 ! [V_na_2,V_m_2,V_f_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 199.73/200.93 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Id__on__def_H,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__eq__Suc0__iff,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 <=> ? [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.73/200.93 & ! [B_xa] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.73/200.93 => ( B_x != B_xa % 199.73/200.93 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__reindex,axiom, % 199.73/200.93 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_d) % 199.73/200.93 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__eq__1__iff,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( 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) % 199.73/200.93 <=> ? [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.73/200.93 & ! [B_xa] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.73/200.93 => ( B_x != B_xa % 199.73/200.93 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__add__nat__ivl,axiom, % 199.73/200.93 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 199.73/200.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__diff__nat__ivl,axiom, % 199.73/200.93 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Groups_Oab__group__add(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 199.73/200.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 199.73/200.93 ! [V_k_2,V_f_2] : % 199.73/200.93 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__delta,axiom, % 199.73/200.93 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.93 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.93 => 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) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__delta_H,axiom, % 199.73/200.93 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.93 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.93 => 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) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__constant,axiom, % 199.73/200.93 ! [V_A_2,V_y_2,T_c,T_b] : % 199.73/200.93 ( class_Rings_Osemiring__1(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Id__on__empty,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__lessThan__Suc,axiom, % 199.73/200.93 ! [V_na_2,V_f_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,V_na_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__insert,axiom, % 199.73/200.93 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.73/200.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Oinsert,axiom, % 199.73/200.93 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__diff,axiom, % 199.73/200.93 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Oab__group__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Oreindex,axiom, % 199.73/200.93 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 199.73/200.93 => 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) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Oeq__fold,axiom, % 199.73/200.93 ! [V_g_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_OF__eq,axiom, % 199.73/200.93 ! [V_g_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__diff__nat,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,V_B_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 199.73/200.93 ! [V_k_2,V_f_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__head__upt__Suc,axiom, % 199.73/200.93 ! [V_f_2,V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_na_2))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__head__Suc,axiom, % 199.73/200.93 ! [V_f_2,V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_na_2))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Oinsert__remove,axiom, % 199.73/200.93 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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)))))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Id__on__eqI,axiom, % 199.73/200.93 ! [V_A_2,T_b,V_b_2,V_a_2] : % 199.73/200.93 ( V_a_2 = V_b_2 % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => hBOOL(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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Id__on__iff,axiom, % 199.73/200.93 ! [V_A_2,V_y_2,V_x_2,T_b] : % 199.73/200.93 ( hBOOL(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))) % 199.73/200.93 <=> ( V_x_2 = V_y_2 % 199.73/200.93 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__diff1__nat,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,V_a_2,T_b] : % 199.73/200.93 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__op__ivl__Suc,axiom, % 199.73/200.93 ! [V_f_2,V_m_2,V_na_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(V_f_2,V_na_2)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__cl__ivl__Suc,axiom, % 199.73/200.93 ! [V_f_2,V_m_2,V_na_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__head,axiom, % 199.73/200.93 ! [V_Pa_2,V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_na_2))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__ub__add__nat,axiom, % 199.73/200.93 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2)))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Oremove,axiom, % 199.73/200.93 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => 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)))))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__diff1_H,axiom, % 199.73/200.93 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)))))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__diff1__ring,axiom, % 199.73/200.93 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Rings_Oring(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__diff1,axiom, % 199.73/200.93 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Oab__group__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_geometric__sum,axiom, % 199.73/200.93 ! [V_na_2,V_x_2,T_b] : % 199.73/200.93 ( class_Fields_Ofield(T_b) % 199.73/200.93 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_na_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_gauss__sum,axiom, % 199.73/200.93 ! [V_na_2,T_b] : % 199.73/200.93 ( class_Rings_Ocomm__semiring__1(T_b) % 199.73/200.93 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__natinterval__difff,axiom, % 199.73/200.93 ! [V_f_2,V_na_2,V_m_2,T_b] : % 199.73/200.93 ( class_Groups_Oab__group__add(T_b) % 199.73/200.93 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,T_b] : % 199.73/200.93 ( ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__mono2,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Oordered__comm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.93 => ( ! [B_b] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 199.73/200.93 => 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))) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__bounded,axiom, % 199.73/200.93 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 199.73/200.93 & class_Rings_Osemiring__1(T_c) ) % 199.73/200.93 => ( ! [B_i] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 199.73/200.93 => 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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__mono3,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 199.73/200.93 ( ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 199.73/200.93 => 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))) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 199.73/200.93 ! [V_A_2,V_f_2,T_b] : % 199.73/200.93 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 199.73/200.93 ! [V_f_2,V_A_2,T_b] : % 199.73/200.93 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.73/200.93 => ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__reindex__nonzero,axiom, % 199.73/200.93 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_d) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.73/200.93 => ! [B_y] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 199.73/200.93 => ( B_x != B_y % 199.73/200.93 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 199.73/200.93 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 199.73/200.93 => 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) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__def,axiom, % 199.73/200.93 ! [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)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 199.73/200.93 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Id__onE,axiom, % 199.73/200.93 ! [V_A_2,V_c_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 199.73/200.93 => ~ ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_finite__atMost,axiom, % 199.73/200.93 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atMost__eq__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 199.73/200.93 <=> V_x_2 = V_y_2 ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__empty,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__is__empty2,axiom, % 199.73/200.93 ! [V_r_2,V_A_2,T_b] : % 199.73/200.93 ( 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) % 199.73/200.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__is__empty,axiom, % 199.73/200.93 ! [V_r_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atLeast0AtMost,axiom, % 199.73/200.93 ! [V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) ). % 199.73/200.93 % 199.73/200.93 fof(fact_lessThan__Suc__atMost,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card__atMost,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atMost__Suc,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atMost__iff,axiom, % 199.73/200.93 ! [V_k_2,V_i_2,T_b] : % 199.73/200.93 ( class_Orderings_Oord(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atMost__subset__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => ( 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))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__le__add__shift,axiom, % 199.73/200.93 ! [V_k_2,V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))),V_M_2) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__diff1,axiom, % 199.73/200.93 ! [V_a_2,V_A_2,V_r_2,T_b] : % 199.73/200.93 ( 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) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__atMost__Suc,axiom, % 199.73/200.93 ! [V_na_2,V_f_2,T_b] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotientI,axiom, % 199.73/200.93 ! [V_r_2,V_A_2,V_x_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atMost__0,axiom, % 199.73/200.93 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))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I9_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_singleton__quotient,axiom, % 199.73/200.93 ! [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))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card__quotient__disjoint,axiom, % 199.73/200.93 ! [V_r_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( 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) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__le__eq__Un0,axiom, % 199.73/200.93 ! [V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I2_J,axiom, % 199.73/200.93 ! [V_u_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I10_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I7_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_subset__equiv__class,axiom, % 199.73/200.93 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( 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)))))) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 199.73/200.93 => hBOOL(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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotientE,axiom, % 199.73/200.93 ! [V_r_2,V_A_2,V_X_2,T_b] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ~ ! [B_x] : % 199.73/200.93 ( 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)))) % 199.73/200.93 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_eq__equiv__class__iff2,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.73/200.93 => ( 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) % 199.73/200.93 <=> hBOOL(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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_equiv__class__subset,axiom, % 199.73/200.93 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( hBOOL(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)) % 199.73/200.93 => 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)))))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_equiv__class__self,axiom, % 199.73/200.93 ! [V_a_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)))))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_equiv__class__eq,axiom, % 199.73/200.93 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( hBOOL(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)) % 199.73/200.93 => 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)))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__eq__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 199.73/200.93 => ( V_X_2 = V_Y_2 % 199.73/200.93 <=> hBOOL(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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__eqI,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 199.73/200.93 => ( hBOOL(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)) % 199.73/200.93 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_eq__equiv__class,axiom, % 199.73/200.93 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 199.73/200.93 ( 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)))) % 199.73/200.93 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 199.73/200.93 => hBOOL(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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_eq__equiv__class__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.73/200.93 => ( 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)))) % 199.73/200.93 <=> hBOOL(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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_equiv__class__eq__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( hBOOL(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)) % 199.73/200.93 <=> ( 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)))) % 199.73/200.93 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__equiv__class,axiom, % 199.73/200.93 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__equiv__class2,axiom, % 199.73/200.93 ! [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] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 199.73/200.93 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 199.73/200.93 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 199.73/200.93 => 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) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_equiv__class__nondisjoint,axiom, % 199.73/200.93 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( 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))))))) % 199.73/200.93 => hBOOL(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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__nonneg__0,axiom, % 199.73/200.93 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 199.73/200.93 => ( ! [B_i] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 199.73/200.93 => ( 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) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 199.73/200.93 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf1E,axiom, % 199.73/200.93 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 199.73/200.93 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf1I,axiom, % 199.73/200.93 ! [T_b,V_B_2,V_x_2,V_A_2] : % 199.73/200.93 ( hBOOL(hAPP(V_A_2,V_x_2)) % 199.73/200.93 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_IntE,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.93 ( 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))) % 199.73/200.93 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.93 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_IntI,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 199.73/200.93 => 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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_finite__Int,axiom, % 199.73/200.93 ! [V_G_2,V_F_2,T_b] : % 199.73/200.93 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.73/200.93 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) % 199.73/200.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inj__on__Int,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.73/200.93 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__Int__distrib,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__Diff,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__Int__distrib2,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__Int2,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__simps_I5_J,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__simps_I4_J,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__extend__simps_I5_J,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__UN__distrib,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__extend__simps_I4_J,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__UN__distrib2,axiom, % 199.73/200.93 ! [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))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Pow__Int__eq,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oidem,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__apply,axiom, % 199.73/200.93 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__assoc,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__aci_I2_J,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf_Oassoc,axiom, % 199.73/200.93 ! [V_c,V_b,V_a,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__left__commute,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__aci_I3_J,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf_Oleft__commute,axiom, % 199.73/200.93 ! [V_c,V_a,V_b,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__left__idem,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__aci_I4_J,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf_Oleft__idem,axiom, % 199.73/200.93 ! [V_b,V_a,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__commute,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__aci_I1_J,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf_Ocommute,axiom, % 199.73/200.93 ! [V_b,V_a,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__idem,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf_Oidem,axiom, % 199.73/200.93 ! [V_a,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__assoc,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__left__commute,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__left__absorb,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__commute,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__absorb,axiom, % 199.73/200.93 ! [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 ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf1D2,axiom, % 199.73/200.93 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf1D1,axiom, % 199.73/200.93 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_less__infI2,axiom, % 199.73/200.93 ! [V_a,V_x,V_b,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_less__infI1,axiom, % 199.73/200.93 ! [V_b,V_x,V_a,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__min,axiom, % 199.73/200.93 ! [T_b] : % 199.73/200.93 ( ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 & class_Orderings_Olinorder(T_b) ) % 199.73/200.93 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__fun__def,axiom, % 199.73/200.93 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 199.73/200.93 ! [V_B_2,V_A_2] : % 199.73/200.93 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.93 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fun__left__comm__idem__inf,axiom, % 199.73/200.93 ! [T_b] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__Int__eq,axiom, % 199.73/200.93 ! [V_x_2,V_S_2,V_R_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_insert__inter__insert,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_IntD2,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_IntD1,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__iff,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_c_2,T_b] : % 199.73/200.93 ( 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))) % 199.73/200.93 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.93 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__mono,axiom, % 199.73/200.93 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 199.73/200.93 => 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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__greatest,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_C_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 199.73/200.93 => 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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__absorb1,axiom, % 199.73/200.93 ! [V_A_2,V_B_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__absorb2,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__lower2,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__lower1,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__ord_I1_J,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__le1,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__ord_I2_J,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__le2,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_le__iff__inf,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.73/200.93 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_le__inf__iff,axiom, % 199.73/200.93 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 => ( 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))) % 199.73/200.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.73/200.93 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_le__infI1,axiom, % 199.73/200.93 ! [V_b,V_x,V_a,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_le__infI2,axiom, % 199.73/200.93 ! [V_a,V_x,V_b,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__absorb1,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__absorb2,axiom, % 199.73/200.93 ! [V_x,V_y,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_le__infI,axiom, % 199.73/200.93 ! [V_b,V_a,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__greatest,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__mono,axiom, % 199.73/200.93 ! [V_d,V_b,V_c,V_a,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_le__infE,axiom, % 199.73/200.93 ! [V_b,V_a,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_a) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.73/200.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__bot__left,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__bot__right,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__empty__left,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__empty__right,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_disjoint__iff__not__equal,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 => ! [B_xa] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 199.73/200.93 => B_x != B_xa ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_sup__inf__distrib2,axiom, % 199.73/200.93 ! [V_x,V_z,V_y,T_a] : % 199.73/200.93 ( class_Lattices_Odistrib__lattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__distrib2,axiom, % 199.73/200.93 ! [V_x,V_z,V_y,T_a] : % 199.73/200.93 ( class_Lattices_Odistrib__lattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_sup__inf__distrib1,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Odistrib__lattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__distrib1,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Odistrib__lattice(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_sup__inf__absorb,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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 ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__sup__absorb,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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 ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Un__Int__crazy,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Un__Int__distrib2,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__Un__distrib2,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Un__Int__distrib,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__Un__distrib,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_distrib__sup__le,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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)))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_distrib__inf__le,axiom, % 199.73/200.93 ! [V_z,V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Olattice(T_a) % 199.73/200.93 => 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)))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__compl__bot,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_compl__inf__bot,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_diff__eq,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_compl__inf,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_compl__sup,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__insert__right,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_a_2,T_b] : % 199.73/200.93 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__insert__left,axiom, % 199.73/200.93 ! [V_B_2,V_C_2,V_a_2,T_b] : % 199.73/200.93 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.73/200.93 => 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)) ) % 199.73/200.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__insert__right__if0,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_a_2,T_b] : % 199.73/200.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__insert__left__if0,axiom, % 199.73/200.93 ! [V_B_2,V_C_2,V_a_2,T_b] : % 199.73/200.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__insert__right__if1,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_a_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__insert__left__if1,axiom, % 199.73/200.93 ! [V_B_2,V_C_2,V_a_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_image__Int__subset,axiom, % 199.73/200.93 ! [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)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__disjoint,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__triv,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Un__Int__assoc__eq,axiom, % 199.73/200.93 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Un__Diff__Int,axiom, % 199.73/200.93 ! [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 ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__Un,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__Int,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I11_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 199.73/200.93 ! [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))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__disjoint2,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__disjoint,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Image__Int__subset,axiom, % 199.73/200.93 ! [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)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__Int,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__Un,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__Compl,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Diff__eq,axiom, % 199.73/200.93 ! [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)) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I14_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Image__Id__on,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 199.73/200.93 ! [V_B_2,V_A_2] : % 199.73/200.93 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.73/200.93 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.93 => 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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_congruent2__implies__congruent,axiom, % 199.73/200.93 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 199.73/200.93 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fold__inf__insert,axiom, % 199.73/200.93 ! [V_a_2,V_b_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__Sup__absorb,axiom, % 199.73/200.93 ! [V_a_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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 ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inj__on__image__Int,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_disjoint__eq__subset__Compl,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I15_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__atLeastAtMost,axiom, % 199.73/200.93 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__atLeastLessThan,axiom, % 199.73/200.93 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I4_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I2_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I16_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I13_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I12_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__greaterThanAtMost,axiom, % 199.73/200.93 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I9_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__greaterThanLessThan,axiom, % 199.73/200.93 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__atLeastAtMostL1,axiom, % 199.73/200.93 ! [V_d_2,V_b_2,V_a_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__atLeastAtMostR1,axiom, % 199.73/200.93 ! [V_d_2,V_c_2,V_b_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I3_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I1_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I10_J,axiom, % 199.73/200.93 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_folding__image__simple_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fold__inf__le__inf,axiom, % 199.73/200.93 ! [V_b_2,V_a_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fold1__belowI,axiom, % 199.73/200.93 ! [V_a_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_below__fold1__iff,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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))) % 199.73/200.93 <=> ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__Un__Int,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setprod__Un__Int,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setprod_Ounion__inter,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card__Un__Int,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card__Diff__subset__Int,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( 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))) % 199.73/200.93 => 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__restrict__set,axiom, % 199.73/200.93 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_folding_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_quotient__disj,axiom, % 199.73/200.93 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( V_X_2 = V_Y_2 % 199.73/200.93 | 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_folding__one_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.73/200.93 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_folding__one_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.73/200.93 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__Un__disjoint,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__Un,axiom, % 199.73/200.93 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Oab__group__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setprod_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setprod__Un__disjoint,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card__Un__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inj__on__Un,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.73/200.93 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.73/200.93 & 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fold__image__Un__Int,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fold1__Un,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Groups_Oab__semigroup__mult(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Sup__fin_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Min_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Min_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Max_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Max_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_congruent2D,axiom, % 199.73/200.93 ! [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] : % 199.73/200.93 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 199.73/200.93 => ( 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)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__Un__nat,axiom, % 199.73/200.93 ! [V_f_2,V_B_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => 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))) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_folding_Ounion,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.73/200.93 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_congruentD,axiom, % 199.73/200.93 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 199.73/200.93 => ( 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)) % 199.73/200.93 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fold__Un__disjoint,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_congruent2__implies__congruent__UN,axiom, % 199.73/200.93 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 199.73/200.93 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 199.73/200.93 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__equiv__class__inject,axiom, % 199.73/200.93 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 199.73/200.93 => ( 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) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 => ! [B_y] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 199.73/200.93 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 199.73/200.93 => 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)) ) ) ) % 199.73/200.93 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__equiv__class__type2,axiom, % 199.73/200.93 ! [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] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 199.73/200.93 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 199.73/200.93 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( ! [B_x1] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 199.73/200.93 => ! [B_x2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UN__equiv__class__type,axiom, % 199.73/200.93 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 199.73/200.93 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.93 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 199.73/200.93 => ( 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))) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_card_Ounion__inter__neutral,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( ( ? [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))) % 199.73/200.93 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__nat__def,axiom, % 199.73/200.93 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__Int__eq2,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 <=> 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))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setprod__Un,axiom, % 199.73/200.93 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Fields_Ofield(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 199.73/200.93 => 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))) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_fold__image__Un__one,axiom, % 199.73/200.93 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setprod_Ounion__inter__neutral,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf2E,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.73/200.93 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf2I,axiom, % 199.73/200.93 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 199.73/200.93 => 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)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf2D2,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf2D1,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.93 ( 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)) % 199.73/200.93 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setprod__Un__one,axiom, % 199.73/200.93 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__Un__zero,axiom, % 199.73/200.93 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum_Ounion__inter__neutral,axiom, % 199.73/200.93 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oremove,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.93 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 199.73/200.93 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.93 => 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)))))) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__nonneg__leq__bound,axiom, % 199.73/200.93 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 199.73/200.93 => ( ! [B_i] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 199.73/200.93 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_sum__diff__distrib,axiom, % 199.73/200.93 ! [V_na_2,V_Pa_2,V_Q_2] : % 199.73/200.93 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_Pa_2,B_x))) % 199.73/200.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Osingleton,axiom, % 199.73/200.93 ! [V_x_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => 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 ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_sup__Inf__absorb,axiom, % 199.73/200.93 ! [V_a_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.93 => 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 ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oin__idem,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => 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) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_OF__eq,axiom, % 199.73/200.93 ! [V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oinsert__idem,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => 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)) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Osubset__idem,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Ounion__idem,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => 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)) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__le__Sup,axiom, % 199.73/200.93 ! [V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => 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))) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 199.73/200.93 ! [V_a_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oinsert,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oinsert__remove,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.93 => 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 ) % 199.73/200.93 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 199.73/200.93 => 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)))))) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Ounion__inter,axiom, % 199.73/200.93 ! [V_B_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.93 => ( 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)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 199.73/200.93 ! [V_x_2,V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.93 => 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) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Oclosed,axiom, % 199.73/200.93 ! [V_A_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( ! [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)))))) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Inf__fin_Ohom__commute,axiom, % 199.73/200.93 ! [V_N_2,V_h_2,T_b] : % 199.73/200.93 ( class_Lattices_Olattice(T_b) % 199.73/200.93 => ( ! [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)) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.93 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => 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)) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ImageE,axiom, % 199.73/200.93 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 199.73/200.93 => ~ ! [B_x] : % 199.73/200.93 ( 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)) % 199.73/200.93 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__mono__zero__left,axiom, % 199.73/200.93 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__mono__zero__right,axiom, % 199.73/200.93 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.73/200.93 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( 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))) % 199.73/200.93 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_setsum__strict__mono,axiom, % 199.73/200.93 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 199.73/200.93 ( ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.93 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 199.73/200.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.73/200.93 => 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))) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atMost__Int__atLeast,axiom, % 199.73/200.93 ! [V_na_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_na_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_na_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_na_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_field__le__mult__one__interval,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.73/200.93 => ( ! [B_z] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 199.73/200.93 => 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)) ) ) % 199.73/200.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 199.73/200.93 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 199.73/200.93 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.73/200.93 => ( V_A_2 = V_B_2 % 199.73/200.93 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.73/200.93 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atLeast__eq__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 199.73/200.93 <=> V_x_2 = V_y_2 ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atLeast__iff,axiom, % 199.73/200.93 ! [V_k_2,V_i_2,T_b] : % 199.73/200.93 ( class_Orderings_Oord(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atLeast__subset__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => ( 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))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__lessThan,axiom, % 199.73/200.93 ! [V_k_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__atLeast,axiom, % 199.73/200.93 ! [V_k_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I14_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I8_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__atLeastAtMostR2,axiom, % 199.73/200.93 ! [V_d_2,V_c_2,V_a_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__atLeastAtMostL2,axiom, % 199.73/200.93 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I6_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_image__uminus__atLeast,axiom, % 199.73/200.93 ! [V_x_2,T_b] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_image__uminus__atMost,axiom, % 199.73/200.93 ! [V_x_2,T_b] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atLeast__Suc,axiom, % 199.73/200.93 ! [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)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I12_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I13_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I1_J,axiom, % 199.73/200.93 ! [V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_atLeast__Suc__greaterThan,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_greaterThan__eq__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 199.73/200.93 <=> V_x_2 = V_y_2 ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_greaterThan__iff,axiom, % 199.73/200.93 ! [V_k_2,V_i_2,T_b] : % 199.73/200.93 ( class_Orderings_Oord(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_greaterThan__subset__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( 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))) % 199.73/200.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__atMost,axiom, % 199.73/200.93 ! [V_k_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Compl__greaterThan,axiom, % 199.73/200.93 ! [V_k_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => 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) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I7_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__un_I11_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Olinorder(T_b) % 199.73/200.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.73/200.93 => 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) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_image__uminus__lessThan,axiom, % 199.73/200.93 ! [V_x_2,T_b] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_image__uminus__greaterThan,axiom, % 199.73/200.93 ! [V_x_2,T_b] : % 199.73/200.93 ( class_Groups_Oordered__ab__group__add(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_ivl__disj__int_I5_J,axiom, % 199.73/200.93 ! [V_u_2,V_l_2,T_b] : % 199.73/200.93 ( class_Orderings_Oorder(T_b) % 199.73/200.93 => 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)) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_greaterThan__Suc,axiom, % 199.73/200.93 ! [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)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_code__numeral_Osimps_I5_J,axiom, % 199.73/200.93 ! [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) ). % 199.73/200.93 % 199.73/200.93 fof(fact_compl__unique,axiom, % 199.73/200.93 ! [V_y,V_x,T_a] : % 199.73/200.93 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.93 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 199.73/200.93 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 199.73/200.93 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 199.73/200.93 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 199.73/200.93 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.93 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.73/200.93 => ( V_A_2 = V_B_2 % 199.73/200.93 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.73/200.93 => ( ! [B_x] : % 199.73/200.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.73/200.93 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 199.73/200.93 => 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) ) ) ) ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_UNIV__I,axiom, % 199.73/200.93 ! [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)))) ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__UNIV__right,axiom, % 199.73/200.93 ! [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 ). % 199.73/200.93 % 199.73/200.93 fof(fact_Int__UNIV__left,axiom, % 199.73/200.93 ! [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 ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__top__left,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Obounded__lattice__top(T_a) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__top__right,axiom, % 199.73/200.93 ! [V_x,T_a] : % 199.73/200.93 ( class_Lattices_Obounded__lattice__top(T_a) % 199.73/200.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 199.73/200.93 % 199.73/200.93 fof(fact_inf__eq__top__iff,axiom, % 199.73/200.93 ! [V_y_2,V_x_2,T_b] : % 199.73/200.93 ( class_Lattices_Obounded__lattice__top(T_b) % 199.73/200.93 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 199.73/200.93 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 199.73/200.94 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__UNIV__left,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__UNIV__right,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UNIV__not__empty,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_subset__UNIV,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__UNIV,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( class_Finite__Set_Ofinite(T_b) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__fun__UNIVD2,axiom, % 199.73/200.94 ! [T_c,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__option__UNIV,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Prod__UNIV,axiom, % 199.73/200.94 ! [T_c,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 199.73/200.94 => 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)))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Plus__UNIV__iff,axiom, % 199.73/200.94 ! [T_c,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.73/200.94 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_infinite__UNIV__nat,axiom, % 199.73/200.94 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UNIV__Plus__UNIV,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_top__apply,axiom, % 199.73/200.94 ! [V_x_2,T_c,T_b] : % 199.73/200.94 ( class_Orderings_Otop(T_b) % 199.73/200.94 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Pow__UNIV,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__UNIV__unit,axiom, % 199.73/200.94 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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_range__composition,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_equiv__intrel,axiom, % 199.73/200.94 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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_injD,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.73/200.94 => V_x_2 = V_y_2 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__eq,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.73/200.94 <=> V_x_2 = V_y_2 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__int,axiom, % 199.73/200.94 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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_sup__top__right,axiom, % 199.73/200.94 ! [V_x,T_a] : % 199.73/200.94 ( class_Lattices_Obounded__lattice__top(T_a) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_sup__top__left,axiom, % 199.73/200.94 ! [V_x,T_a] : % 199.73/200.94 ( class_Lattices_Obounded__lattice__top(T_a) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_top__greatest,axiom, % 199.73/200.94 ! [V_x,T_a] : % 199.73/200.94 ( class_Orderings_Otop(T_a) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_infinite__UNIV__int,axiom, % 199.73/200.94 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__lessThan__UNIV,axiom, % 199.73/200.94 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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__atMost__UNIV,axiom, % 199.73/200.94 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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_range__eqI,axiom, % 199.73/200.94 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 199.73/200.94 ( V_b_2 = hAPP(V_f_2,V_x_2) % 199.73/200.94 => 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))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rangeI,axiom, % 199.73/200.94 ! [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))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__atLeast__UNIV,axiom, % 199.73/200.94 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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Diff__UNIV,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_comp__surj,axiom, % 199.73/200.94 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.73/200.94 => ( 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))) % 199.73/200.94 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__image__eq__iff,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( 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) % 199.73/200.94 <=> V_A_2 = V_B_2 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__comp,axiom, % 199.73/200.94 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__empty__eq,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__UNIV__eq,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__compl,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 199.73/200.94 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__partition2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__partition,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__eq__Diff__UNIV,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SUP__UN__eq,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__range__imageI,axiom, % 199.73/200.94 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 199.73/200.94 ( 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))))) % 199.73/200.94 => 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))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_the__inv__f__f,axiom, % 199.73/200.94 ! [V_x_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__fun__UNIVD1,axiom, % 199.73/200.94 ! [T_c,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 => ( 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)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__of__nat,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( class_Nat_Osemiring__char__0(T_b) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_atLeast__0,axiom, % 199.73/200.94 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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__fun,axiom, % 199.73/200.94 ! [T_d,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_compl__top__eq,axiom, % 199.73/200.94 ! [T_a] : % 199.73/200.94 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.94 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_compl__bot__eq,axiom, % 199.73/200.94 ! [T_a] : % 199.73/200.94 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.94 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_compl__sup__top,axiom, % 199.73/200.94 ! [V_x,T_a] : % 199.73/200.94 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_sup__compl__top,axiom, % 199.73/200.94 ! [V_x,T_a] : % 199.73/200.94 ( class_Lattices_Oboolean__algebra(T_a) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_range__ex1__eq,axiom, % 199.73/200.94 ! [V_b_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( 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))))) % 199.73/200.94 <=> ? [B_x] : % 199.73/200.94 ( V_b_2 = hAPP(V_f_2,B_x) % 199.73/200.94 & ! [B_y] : % 199.73/200.94 ( V_b_2 = hAPP(V_f_2,B_y) % 199.73/200.94 => B_y = B_x ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__image__mem__iff,axiom, % 199.73/200.94 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( 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))) % 199.73/200.94 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__UNIV__inj__surj,axiom, % 199.73/200.94 ! [V_f_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.73/200.94 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__UNIV__surj__inj,axiom, % 199.73/200.94 ! [V_f_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.73/200.94 => ( 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)) % 199.73/200.94 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__image__subset__iff,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( 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))) % 199.73/200.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__Int,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__set__diff,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_surj__Compl__image__subset,axiom, % 199.73/200.94 ! [V_A_2,V_f_2,T_b,T_c] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_greaterThan__0,axiom, % 199.73/200.94 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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__UN__finite__eq,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__singleton,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__UNIV__card__ge__0,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.73/200.94 => 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))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__UNIV__bool,axiom, % 199.73/200.94 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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__image__Compl__subset,axiom, % 199.73/200.94 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SUP__UN__eq2,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_code__numeral_Osimps_I4_J,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__finite2__subset,axiom, % 199.73/200.94 ! [V_B_2,V_k_2,V_A_2,T_b] : % 199.73/200.94 ( ! [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))) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INFI__fold__inf,axiom, % 199.73/200.94 ! [V_f_2,V_A_2,T_b,T_c] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__finite2__eq,axiom, % 199.73/200.94 ! [V_B_2,V_k_2,V_A_2,T_b] : % 199.73/200.94 ( ! [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) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_top1I,axiom, % 199.73/200.94 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__E,axiom, % 199.73/200.94 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 199.73/200.94 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__D,axiom, % 199.73/200.94 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF1__E,axiom, % 199.73/200.94 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 199.73/200.94 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF1__D,axiom, % 199.73/200.94 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF2__D,axiom, % 199.73/200.94 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF2__E,axiom, % 199.73/200.94 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 199.73/200.94 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__INT,axiom, % 199.73/200.94 ! [V_A_2,T_c,V_I_2,T_b] : % 199.73/200.94 ( ? [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 199.73/200.94 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__empty,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__constant,axiom, % 199.73/200.94 ! [V_c_2,T_c,T_b,V_A_2] : % 199.73/200.94 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF__INT__eq,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF__INT__eq2,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b,T_c] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.94 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( 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) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.94 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I9_J,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I9_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Pow__INT__eq,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF__commute,axiom, % 199.73/200.94 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INFI__apply,axiom, % 199.73/200.94 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I5_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I5_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I7_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I6_J,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I7_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__INT__distrib,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I6_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__INT__distrib2,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I10_J,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I10_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__subset__iff,axiom, % 199.73/200.94 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__iff,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__Int__distrib,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_le__INF__iff,axiom, % 199.73/200.94 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( 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))) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF__less__iff,axiom, % 199.73/200.94 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 & class_Orderings_Olinorder(T_b) ) % 199.73/200.94 => ( 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)) % 199.73/200.94 <=> ? [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.73/200.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__insert__distrib,axiom, % 199.73/200.94 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__lower,axiom, % 199.73/200.94 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__absorb,axiom, % 199.73/200.94 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF__const,axiom, % 199.73/200.94 ! [V_M_2,T_b,V_A_2,T_c] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I1_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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 ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I2_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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 ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I2_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I1_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__insert,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I3_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I3_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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) ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__Un,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__extend__simps_I7_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__simps_I7_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Image__INT__subset,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__UN,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__INT,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__greaterThan__UNIV,axiom, % 199.73/200.94 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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF__subset,axiom, % 199.73/200.94 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I4_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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 ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I4_J,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.73/200.94 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF__leI,axiom, % 199.73/200.94 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inf__INFI__fold__inf,axiom, % 199.73/200.94 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Integ__def,axiom, % 199.73/200.94 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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__finite__subset,axiom, % 199.73/200.94 ! [V_C_2,V_A_2,T_b] : % 199.73/200.94 ( ! [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)) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_iso__tuple__UNIV__I,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF2__iff,axiom, % 199.73/200.94 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INF1__iff,axiom, % 199.73/200.94 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Rep__Integ,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_o__eq__dest__lhs,axiom, % 199.73/200.94 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 199.73/200.94 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 199.73/200.94 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_K__record__comp,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__INT,axiom, % 199.73/200.94 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 199.73/200.94 => 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)) ) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_equivp__equiv,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 199.73/200.94 <=> 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition__Integ,axiom, % 199.73/200.94 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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_equivp__transp,axiom, % 199.73/200.94 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 199.73/200.94 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_equivp__symp,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_R_2,T_b] : % 199.73/200.94 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_equivp__reflp,axiom, % 199.73/200.94 ! [V_x_2,V_R_2,T_b] : % 199.73/200.94 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.73/200.94 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_equivp__def,axiom, % 199.73/200.94 ! [V_R_2,T_b] : % 199.73/200.94 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.73/200.94 <=> ! [B_x,B_y] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 199.73/200.94 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_identity__equivp,axiom, % 199.73/200.94 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition_ORep__range,axiom, % 199.73/200.94 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.73/200.94 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.73/200.94 => 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 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition_OAbs__image,axiom, % 199.73/200.94 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.73/200.94 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition_ORep,axiom, % 199.73/200.94 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.73/200.94 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition_ORep__inject,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.73/200.94 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.73/200.94 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 199.73/200.94 <=> V_x_2 = V_y_2 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition_ORep__inverse,axiom, % 199.73/200.94 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.73/200.94 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.73/200.94 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition_OAbs__inject,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.73/200.94 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 199.73/200.94 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 199.73/200.94 <=> V_x_2 = V_y_2 ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_type__definition_OAbs__inverse,axiom, % 199.73/200.94 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.73/200.94 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 199.73/200.94 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__vimage__singleton,axiom, % 199.73/200.94 ! [V_a_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__fold__inf,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_accp__acc__eq,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Inter,axiom, % 199.73/200.94 ! [V_M_2,T_b] : % 199.73/200.94 ( ? [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 199.73/200.94 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_InterD,axiom, % 199.73/200.94 ! [V_X_2,V_C_2,V_A_2,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_InterE,axiom, % 199.73/200.94 ! [V_X_2,V_C_2,V_A_2,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimageI,axiom, % 199.73/200.94 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 199.73/200.94 ( hAPP(V_f_2,V_a_2) = V_b_2 % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__INT,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__Inter,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_le__Inf__iff,axiom, % 199.73/200.94 ! [V_A_2,V_b_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( 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))) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__less__iff,axiom, % 199.73/200.94 ! [V_a_2,V_S_2,T_b] : % 199.73/200.94 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 & class_Orderings_Olinorder(T_b) ) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 199.73/200.94 <=> ? [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.73/200.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__compose,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__Compl,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__code,axiom, % 199.73/200.94 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 199.73/200.94 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__ident,axiom, % 199.73/200.94 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__mono,axiom, % 199.73/200.94 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__empty,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__Un,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__Int,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__Diff,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__UN,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__UNIV,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__eq,axiom, % 199.73/200.94 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 199.73/200.94 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimageD,axiom, % 199.73/200.94 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimageI2,axiom, % 199.73/200.94 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__vimage__subset,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_surj__image__vimage__eq,axiom, % 199.73/200.94 ! [V_A_2,V_f_2,T_b,T_c] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__lower,axiom, % 199.73/200.94 ! [V_A_2,V_B_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__anti__mono,axiom, % 199.73/200.94 ! [V_A_2,V_B_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__empty,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__insert,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__UNIV,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__lower,axiom, % 199.73/200.94 ! [V_A_2,V_x_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_acc__subset,axiom, % 199.73/200.94 ! [V_R2_2,V_R1_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__Un__distrib,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__singleton__eq,axiom, % 199.73/200.94 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 199.73/200.94 ( 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)))))) % 199.73/200.94 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__singleton,axiom, % 199.73/200.94 ! [V_a_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__empty,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__UNIV,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__insert,axiom, % 199.73/200.94 ! [V_A_2,V_a_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__insert,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__vimageD,axiom, % 199.73/200.94 ! [V_F_2,V_h_2,T_c,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 199.73/200.94 => ( 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)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INTER__eq__Inter__image,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__image__eq,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__subsetD,axiom, % 199.73/200.94 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__vimage__eq,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__vimageI,axiom, % 199.73/200.94 ! [V_h_2,T_c,V_F_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.73/200.94 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__vimage__image__eq,axiom, % 199.73/200.94 ! [V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__const,axiom, % 199.73/200.94 ! [T_c,V_A_2,V_c_2,T_b] : % 199.73/200.94 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__eq__UN,axiom, % 199.73/200.94 ! [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))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_acc_Osimps,axiom, % 199.73/200.94 ! [V_r_2,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( 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)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_acc__downward,axiom, % 199.73/200.94 ! [V_a_2,V_r_2,V_b_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.73/200.94 => ( hBOOL(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)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Int__eq__Inter,axiom, % 199.73/200.94 ! [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))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__subsetI,axiom, % 199.73/200.94 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => ( 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))) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Int__Inter__image,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__Un__subset,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__binary,axiom, % 199.73/200.94 ! [V_b_2,V_a_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__if,axiom, % 199.73/200.94 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 199.73/200.94 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.94 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.73/200.94 => 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 ) ) ) % 199.73/200.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 199.73/200.94 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.73/200.94 => 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) ) % 199.73/200.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.73/200.94 => 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)) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inf__Inf__fold__inf,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inf__fin__Inf,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_max__extp_Oequations,axiom, % 199.73/200.94 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 199.73/200.94 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 199.73/200.94 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 199.73/200.94 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 & ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 199.73/200.94 => ? [B_xa] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 199.73/200.94 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__fold__sup,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_max__ext_Ointros,axiom, % 199.73/200.94 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 199.73/200.94 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 199.73/200.94 => ? [B_xa] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 199.73/200.94 & 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)) ) ) % 199.73/200.94 => 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))) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UnionI,axiom, % 199.73/200.94 ! [V_A_2,V_C_2,V_X_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__Union,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__Union,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__extend__simps_I8_J,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__simps_I8_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Int__Union2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Int__Union,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__le__iff,axiom, % 199.73/200.94 ! [V_b_2,V_A_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( 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)) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Field__Union,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__Pow__eq,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_less__Sup__iff,axiom, % 199.73/200.94 ! [V_S_2,V_a_2,T_b] : % 199.73/200.94 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 & class_Orderings_Olinorder(T_b) ) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 199.73/200.94 <=> ? [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.73/200.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__simps_I8_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_INT__extend__simps_I8_J,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__disjoint,axiom, % 199.73/200.94 ! [V_A_2,V_C_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__upper,axiom, % 199.73/200.94 ! [V_A_2,V_B_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__empty,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__mono,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__quotient,axiom, % 199.73/200.94 ! [V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.94 => 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 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__insert,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__UnionD,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_subset__Pow__Union,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__UNIV,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__Un__distrib,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UNION__eq__Union__image,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__image__eq,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__upper,axiom, % 199.73/200.94 ! [V_A_2,V_x_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__empty,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__singleton,axiom, % 199.73/200.94 ! [V_a_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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 ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__insert,axiom, % 199.73/200.94 ! [V_A_2,V_a_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__UNIV,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__eq__Union,axiom, % 199.73/200.94 ! [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))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__Union__image,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__Int__subset,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__binary,axiom, % 199.73/200.94 ! [V_b_2,V_a_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_sup__Sup__fold__sup,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sup__fin__Sup,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nitpick_Ozero__frac__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__on__Inter,axiom, % 199.73/200.94 ! [V_f_2,T_c,T_b,V_S_2] : % 199.73/200.94 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 199.73/200.94 => ( ! [B_A] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 199.73/200.94 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Inter__subset,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( ! [B_X] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Union__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nitpick_Oone__frac__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nitpick_Ofrac__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Union,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 199.73/200.94 => ( ! [B_M] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_insert__partition,axiom, % 199.73/200.94 ! [V_F_2,V_x_2,T_b] : % 199.73/200.94 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ! [B_xa] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ( B_x != B_xa % 199.73/200.94 => 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)) ) ) ) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__partition,axiom, % 199.73/200.94 ! [V_k_2,V_C_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 199.73/200.94 => ( ! [B_c] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 199.73/200.94 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 199.73/200.94 => ( ! [B_c1] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 199.73/200.94 => ! [B_c2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 199.73/200.94 => ( B_c1 != B_c2 % 199.73/200.94 => 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)) ) ) ) % 199.73/200.94 => 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)) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__split__eq__Sigma,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_nat0__intermed__int__val,axiom, % 199.73/200.94 ! [V_k_2,V_f_2,V_na_2] : % 199.73/200.94 ( ! [B_i] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 199.73/200.94 => 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))) ) % 199.73/200.94 => ( 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)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 199.73/200.94 => ? [B_i] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 199.73/200.94 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_int__val__lemma,axiom, % 199.73/200.94 ! [V_k_2,V_f_2,V_na_2] : % 199.73/200.94 ( ! [B_i] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 199.73/200.94 => 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))) ) % 199.73/200.94 => ( 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)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 199.73/200.94 => ? [B_i] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 199.73/200.94 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SigmaI,axiom, % 199.73/200.94 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__Union,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__empty1,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Times__eq__cancel2,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 199.73/200.94 => ( 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)) % 199.73/200.94 <=> V_A_2 = V_B_2 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__Diff__distrib1,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Times__Diff__distrib1,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__Diff__distrib2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__cartesian__product,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__cartesian__product,axiom, % 199.73/200.94 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__add(T_b) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Times__empty,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__empty2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__Times__UNIV2,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__Times__UNIV1,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setprod__cartesian__product,axiom, % 199.73/200.94 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__Un__distrib1,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Times__Un__distrib1,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__Un__distrib2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_swap__product,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__cartesian__product,axiom, % 199.73/200.94 ! [V_B_2,T_c,V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.73/200.94 => 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)))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_equiv__type,axiom, % 199.73/200.94 ! [V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.73/200.94 => 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)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__Int__distrib1,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Times__Int__distrib1,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__Int__distrib2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Id__on__subset__Times,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UNIV__Times__UNIV,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SigmaE2,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.94 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SigmaD2,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SigmaD1,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_mem__Sigma__iff,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.94 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__cartesian__product__singleton,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Times__subset__cancel2,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 199.73/200.94 => ( 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)))) % 199.73/200.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Image__subset,axiom, % 199.73/200.94 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__cartesian__productD2,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__cartesian__productD1,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_c,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_fst__image__times,axiom, % 199.73/200.94 ! [V_A_2,T_c,T_b,V_B_2] : % 199.73/200.94 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_snd__image__times,axiom, % 199.73/200.94 ! [V_B_2,T_c,T_b,V_A_2] : % 199.73/200.94 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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)) ) % 199.73/200.94 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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 ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_insert__times__insert,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__equiv__class,axiom, % 199.73/200.94 ! [V_X_2,V_r_2,V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( 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)))) % 199.73/200.94 => ( 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))) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__Times,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UN__Times__distrib,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Sigma__def,axiom, % 199.73/200.94 ! [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))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__quotient,axiom, % 199.73/200.94 ! [V_r_2,V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( 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)))) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 199.73/200.94 ! [V_A_2,V_I_2,T_c,T_b] : % 199.73/200.94 ? [B_f] : % 199.73/200.94 ( 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)) % 199.73/200.94 & 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_fold__image__Sigma,axiom, % 199.73/200.94 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__SigmaI,axiom, % 199.73/200.94 ! [V_B_2,T_c,V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( ! [B_a] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setprod__Sigma,axiom, % 199.73/200.94 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__Sigma,axiom, % 199.73/200.94 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__add(T_d) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__SigmaI,axiom, % 199.73/200.94 ! [V_B_2,T_c,V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SigmaE,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ~ ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => ! [B_y] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 199.73/200.94 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__surj,axiom, % 199.73/200.94 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__inj__on,axiom, % 199.73/200.94 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.73/200.94 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__imageI,axiom, % 199.73/200.94 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_snd__prod__fun,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_fst__map__pair,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__simp,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__ident,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair_Ocompositionality,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__compose,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair_Ocomp,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_fst__comp__map__pair,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_snd__comp__map__pair,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair__surj__on,axiom, % 199.73/200.94 ! [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] : % 199.73/200.94 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 199.73/200.94 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_prod__fun__imageE,axiom, % 199.73/200.94 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 199.73/200.94 ( 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))) % 199.73/200.94 => ~ ! [B_x,B_y] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ~ 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__on__def,axiom, % 199.73/200.94 ! [V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.73/200.94 <=> ( 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)))) % 199.73/200.94 & ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setprod__pos__nat,axiom, % 199.73/200.94 ! [V_f_2,V_S_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.73/200.94 => 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))) ) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__on__Id__on,axiom, % 199.73/200.94 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__on__empty,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__on__Un,axiom, % 199.73/200.94 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.73/200.94 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__on__Int,axiom, % 199.73/200.94 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.73/200.94 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__onD,axiom, % 199.73/200.94 ! [V_a_2,V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.73/200.94 => hBOOL(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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__onD1,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.73/200.94 => ( hBOOL(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)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__onD2,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.73/200.94 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.73/200.94 => ( hBOOL(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)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_refl__onI,axiom, % 199.73/200.94 ! [V_A_2,V_r_2,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 => 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)) ) % 199.73/200.94 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Rep__Integ__cases,axiom, % 199.73/200.94 ! [V_y_2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 199.73/200.94 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Rep__Integ__induct,axiom, % 199.73/200.94 ! [V_Pa_2,V_y_2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 199.73/200.94 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 199.73/200.94 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( 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))) % 199.73/200.94 => hAPP(V_g_2,B_x) = V_z_2 ) % 199.73/200.94 => 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)) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__on__INTER,axiom, % 199.73/200.94 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 199.73/200.94 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => ( ! [B_i] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 199.73/200.94 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 199.73/200.94 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.73/200.94 => ( 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)) % 199.73/200.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.94 => ~ ! [B_y] : % 199.73/200.94 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 199.73/200.94 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__less__Suc2,axiom, % 199.73/200.94 ! [V_i_2,V_M_2] : % 199.73/200.94 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 199.73/200.94 => 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))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__less,axiom, % 199.73/200.94 ! [V_i_2,V_M_2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 199.73/200.94 => 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) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_card__less__Suc,axiom, % 199.73/200.94 ! [V_i_2,V_M_2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 199.73/200.94 => 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))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_CollectI,axiom, % 199.73/200.94 ! [T_b,V_a_2,V_Pa_2] : % 199.73/200.94 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Collect__conjI,axiom, % 199.73/200.94 ! [V_Q_2,V_Pa_2,T_b] : % 199.73/200.94 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Collect__less__nat,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Collect__le__nat,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__def,axiom, % 199.73/200.94 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 199.73/200.94 % 199.73/200.94 fof(fact_insert__Collect,axiom, % 199.73/200.94 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__disj__eq,axiom, % 199.73/200.94 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_empty__Collect__eq,axiom, % 199.73/200.94 ! [V_Pa_2,T_b] : % 199.73/200.94 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 199.73/200.94 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__empty__eq,axiom, % 199.73/200.94 ! [V_Pa_2,T_b] : % 199.73/200.94 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_empty__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__conj__eq,axiom, % 199.73/200.94 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Collect__disjI,axiom, % 199.73/200.94 ! [V_Q_2,V_Pa_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2)))) % 199.73/200.94 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_UNIV__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__mem__eq,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_mem__Collect__eq,axiom, % 199.73/200.94 ! [V_Pa_2,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_CollectD,axiom, % 199.73/200.94 ! [V_Pa_2,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_CollectE,axiom, % 199.73/200.94 ! [V_Pa_2,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__Collect__eq,axiom, % 199.73/200.94 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__neg__eq,axiom, % 199.73/200.94 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__split,axiom, % 199.73/200.94 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_SetCompr__Sigma__eq,axiom, % 199.73/200.94 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_insert__compr__raw,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_insert__compr,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Un__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Int__Collect,axiom, % 199.73/200.94 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))) % 199.73/200.94 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.94 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Int__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__conv__if,axiom, % 199.73/200.94 ! [T_b,V_a_2,V_Pa_2] : % 199.73/200.94 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.73/200.94 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 199.73/200.94 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.73/200.94 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__conv__if2,axiom, % 199.73/200.94 ! [T_b,V_a_2,V_Pa_2] : % 199.73/200.94 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.73/200.94 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 199.73/200.94 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.73/200.94 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_singleton__conv,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_singleton__conv2,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_set__diff__eq,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Collect__not,axiom, % 199.73/200.94 ! [V_Pa_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)))) % 199.73/200.94 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_insert__def,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Compl__eq,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Collect__imp__eq,axiom, % 199.73/200.94 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_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_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__M__bounded__by__nat,axiom, % 199.73/200.94 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__setsum__restrict,axiom, % 199.73/200.94 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__add(T_d) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 199.73/200.94 => 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) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_if__image__distrib,axiom, % 199.73/200.94 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_nat__seg__image__imp__finite,axiom, % 199.73/200.94 ! [V_na_2,V_f_2,T_b,V_A_2] : % 199.73/200.94 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_na_2))) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__restrict__set_H,axiom, % 199.73/200.94 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__image__gen,axiom, % 199.73/200.94 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Image__singleton,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__cases,axiom, % 199.73/200.94 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__multicount,axiom, % 199.73/200.94 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 199.73/200.94 => 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 ) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( class_Orderings_Olinorder(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))))) ) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 199.73/200.94 ! [V_x_2,V_A_2,T_b] : % 199.73/200.94 ( class_Orderings_Olinorder(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Collect__subsets,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => 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)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Pow__Compl,axiom, % 199.73/200.94 ! [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))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Pow__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Collect__bounded__ex,axiom, % 199.73/200.94 ! [V_Q_2,T_c,V_Pa_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))))) % 199.73/200.94 <=> ! [B_y] : % 199.73/200.94 ( hBOOL(hAPP(V_Pa_2,B_y)) % 199.73/200.94 => 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)))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__image__set,axiom, % 199.73/200.94 ! [V_f_2,T_c,V_Pa_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__graph,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 199.73/200.94 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__psubset__def,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inv__image__def,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 199.73/200.94 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 199.73/200.94 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_add__Min__commute,axiom, % 199.73/200.94 ! [V_k_2,V_N_2,T_b] : % 199.73/200.94 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.94 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_add__Max__commute,axiom, % 199.73/200.94 ! [V_k_2,V_N_2,T_b] : % 199.73/200.94 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.73/200.94 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_sup__Inf1__distrib,axiom, % 199.73/200.94 ! [V_x_2,V_A_2,T_b] : % 199.73/200.94 ( class_Lattices_Odistrib__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_sup__Inf2__distrib,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( class_Lattices_Odistrib__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))))) ) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inf__Sup1__distrib,axiom, % 199.73/200.94 ! [V_x_2,V_A_2,T_b] : % 199.73/200.94 ( class_Lattices_Odistrib__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inf__Sup2__distrib,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( class_Lattices_Odistrib__lattice(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))))) ) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 199.73/200.94 ! [V_x_2,V_A_2,T_b] : % 199.73/200.94 ( class_Orderings_Olinorder(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,T_b] : % 199.73/200.94 ( class_Orderings_Olinorder(T_b) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.73/200.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 => 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))))))) ) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Nitpick_Oprod__def,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_int__ge__less__than__def,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_int__ge__less__than2__def,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_reflp__def,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Predicate_Oreflp(T_b,V_r_2) % 199.73/200.94 <=> 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__mult__setsum__if__inj,axiom, % 199.73/200.94 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 199.73/200.94 ( class_Rings_Osemiring__0(T_d) % 199.73/200.94 => ( 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))) % 199.73/200.94 => 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))))))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__multicount__gen,axiom, % 199.73/200.94 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 199.73/200.94 => ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 199.73/200.94 => 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) ) % 199.73/200.94 => 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) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_inj__on__id,axiom, % 199.73/200.94 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair_Oid,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_map__pair_Oidentity,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_vimage__id,axiom, % 199.73/200.94 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 199.73/200.94 % 199.73/200.94 fof(fact_apfst__id,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_id__def,axiom, % 199.73/200.94 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 199.73/200.94 % 199.73/200.94 fof(fact_id__apply,axiom, % 199.73/200.94 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 199.73/200.94 % 199.73/200.94 fof(fact_reflpE,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_b] : % 199.73/200.94 ( c_Predicate_Oreflp(T_b,V_r_2) % 199.73/200.94 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_apsnd__id,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_o__id,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_id__o,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_o__eq__id__dest,axiom, % 199.73/200.94 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 199.73/200.94 ( 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) % 199.73/200.94 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_image__id,axiom, % 199.73/200.94 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 199.73/200.94 % 199.73/200.94 fof(fact_of__int__eq__id,axiom, % 199.73/200.94 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 199.73/200.94 % 199.73/200.94 fof(fact_surj__id,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_folding_Oempty,axiom, % 199.73/200.94 ! [V_F_2,V_f_2,T_c,T_b] : % 199.73/200.94 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.73/200.94 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_apfst__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_apsnd__def,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_split__Pair,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setsum__reindex__id,axiom, % 199.73/200.94 ! [V_B_2,V_f_2,T_b,T_c] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.94 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_setprod__reindex__id,axiom, % 199.73/200.94 ! [V_B_2,V_f_2,T_b,T_c] : % 199.73/200.94 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.73/200.94 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__conv__nat__seg__image,axiom, % 199.73/200.94 ! [V_A_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 <=> ? [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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__def,axiom, % 199.73/200.94 ! [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))))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__Collect__split,axiom, % 199.73/200.94 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__compI,axiom, % 199.73/200.94 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_RangeI,axiom, % 199.73/200.94 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__Id__on,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_O__assoc,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__empty1,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__empty2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__mono,axiom, % 199.73/200.94 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__distrib,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__distrib2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__UNION__distrib2,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__UNION__distrib,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_union__comp__emptyR,axiom, % 199.73/200.94 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_union__comp__emptyL,axiom, % 199.73/200.94 ! [V_B_2,V_C_2,V_A_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__Union,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__empty__iff,axiom, % 199.73/200.94 ! [V_r_2,T_b,T_c] : % 199.73/200.94 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__empty,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_rel__comp__subset__Sigma,axiom, % 199.73/200.94 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( 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)))) % 199.73/200.94 => ( 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)))) % 199.73/200.94 => 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)))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__Un__eq,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Range,axiom, % 199.73/200.94 ! [V_r_2,T_c,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_snd__eq__Range,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__iff,axiom, % 199.73/200.94 ! [V_r_2,T_c,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 199.73/200.94 <=> ? [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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__insert,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__Int__subset,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Range__Diff__subset,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_max__ext__compat,axiom, % 199.73/200.94 ! [V_S_2,V_R_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_min__ext__compat,axiom, % 199.73/200.94 ! [V_S_2,V_R_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_RangeP__Range__eq,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_RangeE,axiom, % 199.73/200.94 ! [V_r_2,T_c,V_b_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 199.73/200.94 => ~ ! [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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_pred__comp__rel__comp__eq,axiom, % 199.73/200.94 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_pred__comp_Ointros,axiom, % 199.73/200.94 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_RangeP_Ointros,axiom, % 199.73/200.94 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 199.73/200.94 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_pred__comp_Oequations,axiom, % 199.73/200.94 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> ? [B_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 199.73/200.94 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_RangeP_Oequations,axiom, % 199.73/200.94 ! [V_a2_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 199.73/200.94 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_reduction__pairI,axiom, % 199.73/200.94 ! [V_S_2,V_R_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__Collect__split,axiom, % 199.73/200.94 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_pigeonhole__infinite,axiom, % 199.73/200.94 ! [V_f_2,T_c,V_A_2,T_b] : % 199.73/200.94 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.73/200.94 => ? [B_x] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.94 & ~ 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)))))) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__less__than,axiom, % 199.73/200.94 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__empty,axiom, % 199.73/200.94 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__inv__image,axiom, % 199.73/200.94 ! [V_f_2,T_c,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__lex__prod,axiom, % 199.73/200.94 ! [V_rb_2,T_c,V_ra_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_ra_2) % 199.73/200.94 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 199.73/200.94 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__measure,axiom, % 199.73/200.94 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_DomainI,axiom, % 199.73/200.94 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__comp__self,axiom, % 199.73/200.94 ! [V_R_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.73/200.94 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__subset,axiom, % 199.73/200.94 ! [V_p_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => ( 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)) % 199.73/200.94 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_min__ext__wf,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__mlex,axiom, % 199.73/200.94 ! [V_f_2,V_R_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.73/200.94 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__Id__on,axiom, % 199.73/200.94 ! [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 ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__pair__less,axiom, % 199.73/200.94 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 199.73/200.94 % 199.73/200.94 fof(fact_max__ext__wf,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__Int1,axiom, % 199.73/200.94 ! [V_r_H_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__Int2,axiom, % 199.73/200.94 ! [V_r_H_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__finite__psubset,axiom, % 199.73/200.94 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__less,axiom, % 199.73/200.94 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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__not__refl,axiom, % 199.73/200.94 ! [V_a_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => ~ hBOOL(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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__not__sym,axiom, % 199.73/200.94 ! [V_x_2,V_a_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => ( hBOOL(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)) % 199.73/200.94 => ~ hBOOL(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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__asym,axiom, % 199.73/200.94 ! [V_x_2,V_a_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => ( hBOOL(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)) % 199.73/200.94 => ~ hBOOL(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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__irrefl,axiom, % 199.73/200.94 ! [V_a_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => ~ hBOOL(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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__int__ge__less__than2,axiom, % 199.73/200.94 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__int__ge__less__than,axiom, % 199.73/200.94 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__Un,axiom, % 199.73/200.94 ! [V_s_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => ( c_Wellfounded_Owf(T_b,V_s_2) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__acc__iff,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_acc__wfD,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__no__loop,axiom, % 199.73/200.94 ! [V_R_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__union__merge,axiom, % 199.73/200.94 ! [V_S_2,V_R_2,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> 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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__empty__iff,axiom, % 199.73/200.94 ! [V_r_2,T_c,T_b] : % 199.73/200.94 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.94 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__empty,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__mono,axiom, % 199.73/200.94 ! [V_s_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 => 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__Un__eq,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_finite__Domain,axiom, % 199.73/200.94 ! [V_r_2,T_c,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 199.73/200.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_fst__eq__Domain,axiom, % 199.73/200.94 ! [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) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 <=> ~ ? [B_f] : % 199.73/200.94 ! [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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wfE__pf,axiom, % 199.73/200.94 ! [V_A_2,V_R_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.73/200.94 => ( 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))) % 199.73/200.94 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__union__compatible,axiom, % 199.73/200.94 ! [V_S_2,V_R_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.73/200.94 => ( c_Wellfounded_Owf(T_b,V_S_2) % 199.73/200.94 => ( 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)) % 199.73/200.94 => 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)) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__iff,axiom, % 199.73/200.94 ! [V_r_2,T_c,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 199.73/200.94 <=> ? [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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf,axiom, % 199.73/200.94 ! [T_b] : % 199.73/200.94 ( class_Orderings_Owellorder(T_b) % 199.73/200.94 => 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)))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__insert,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_reduction__pair__def,axiom, % 199.73/200.94 ! [V_Pa_2,T_b] : % 199.73/200.94 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 199.73/200.94 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)) % 199.73/200.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_reduction__pair__lemma,axiom, % 199.73/200.94 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 199.73/200.94 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 199.73/200.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 199.73/200.94 => ( c_Wellfounded_Owf(T_b,V_S_2) % 199.73/200.94 => 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)) ) ) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__Int__subset,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__Diff__subset,axiom, % 199.73/200.94 ! [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)))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Field__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__map__pair__image,axiom, % 199.73/200.94 ! [V_f_2,T_c,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.73/200.94 => 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)) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_Domain__Union,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_DomainP__Domain__eq,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( 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)) % 199.73/200.94 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__lenlex,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_DomainE,axiom, % 199.73/200.94 ! [V_r_2,T_c,V_a_2,T_b] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 199.73/200.94 => ~ ! [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)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_DomainP_Ointros,axiom, % 199.73/200.94 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 199.73/200.94 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 199.73/200.94 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_DomainP_Oequations,axiom, % 199.73/200.94 ! [V_a1_2,V_r_2,T_c,T_b] : % 199.73/200.94 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 199.73/200.94 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_pred__nat__def,axiom, % 199.73/200.94 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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__lex,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__lexn,axiom, % 199.73/200.94 ! [V_na_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.94 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_lex__def,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_lexn_Osimps_I1_J,axiom, % 199.73/200.94 ! [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)) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__pred__nat,axiom, % 199.73/200.94 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__same__fst,axiom, % 199.73/200.94 ! [T_b,V_R_2,T_c,V_Pa_2] : % 199.73/200.94 ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.73/200.94 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 199.73/200.94 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__if__measure,axiom, % 199.73/200.94 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 199.73/200.94 ( ! [B_x] : % 199.73/200.94 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.73/200.94 => 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))) ) % 199.73/200.94 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wfP__def,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.73/200.94 <=> 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))) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wfP__empty,axiom, % 199.73/200.94 ! [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))) ). % 199.73/200.94 % 199.73/200.94 fof(fact_accp__wfPD,axiom, % 199.73/200.94 ! [V_x_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.73/200.94 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wfP__accp__iff,axiom, % 199.73/200.94 ! [V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.73/200.94 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wfP__subset,axiom, % 199.73/200.94 ! [V_p_2,V_r_2,T_b] : % 199.73/200.94 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.73/200.94 => ( 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)) % 199.73/200.94 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 199.73/200.94 % 199.73/200.94 fof(fact_wf__in__rel,axiom, % 199.73/200.94 ! [V_R_2,T_b] : % 199.73/200.94 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.73/200.95 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wfP__wf__eq,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wfP__acyclicP,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.73/200.95 => 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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_refl__on__def_H,axiom, % 199.73/200.95 ! [V_r_2,V_A_2,T_b] : % 199.73/200.95 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.73/200.95 <=> ( ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 199.73/200.95 => 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)) ) % 199.73/200.95 & ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.95 => 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)) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Abs__Integ__cases,axiom, % 199.73/200.95 ! [V_x_2] : % 199.73/200.95 ~ ! [B_y] : % 199.73/200.95 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 199.73/200.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_ball__empty,axiom, % 199.73/200.95 ! [V_Pa_2,T_b,B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wf__acyclic,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.95 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_acyclic__subset,axiom, % 199.73/200.95 ! [V_r_2,V_s_2,T_b] : % 199.73/200.95 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 199.73/200.95 => ( 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)) % 199.73/200.95 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Powp__def,axiom, % 199.73/200.95 ! [V_B_2,V_A_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 199.73/200.95 <=> ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 199.73/200.95 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_INFI__bool__eq,axiom, % 199.73/200.95 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Collect__ball__eq,axiom, % 199.73/200.95 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_congruent__def,axiom, % 199.73/200.95 ! [V_f_2,V_r_2,T_c,T_b] : % 199.73/200.95 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 199.73/200.95 <=> ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 199.73/200.95 => 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)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_INTER__def,axiom, % 199.73/200.95 ! [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)))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_finite__acyclic__wf,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.73/200.95 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.73/200.95 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wf__iff__acyclic__if__finite,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.73/200.95 => ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.95 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Sup__Inf,axiom, % 199.73/200.95 ! [V_A_2,T_b] : % 199.73/200.95 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.95 => 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)))))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Inf__Sup,axiom, % 199.73/200.95 ! [V_A_2,T_b] : % 199.73/200.95 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.73/200.95 => 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))))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Nitpick_Owf_H__def,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( c_Nitpick_Owf_H(T_b,V_r_2) % 199.73/200.95 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.73/200.95 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.73/200.95 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Abs__Integ__induct,axiom, % 199.73/200.95 ! [V_x_2,V_Pa_2] : % 199.73/200.95 ( ! [B_y] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_finite__UN__I,axiom, % 199.73/200.95 ! [V_B_2,T_c,V_A_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.95 => ( ! [B_a] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.73/200.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 199.73/200.95 => 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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Inter__eq,axiom, % 199.73/200.95 ! [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)))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wfP__SUP,axiom, % 199.73/200.95 ! [T_b,V_r_2,T_c] : % 199.73/200.95 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 199.73/200.95 => ( ! [B_i,B_j] : % 199.73/200.95 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 199.73/200.95 => 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)) ) % 199.73/200.95 => 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)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_mem__splitE,axiom, % 199.73/200.95 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 199.73/200.95 ( 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))) % 199.73/200.95 => ~ ! [B_x,B_y] : % 199.73/200.95 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 199.73/200.95 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_mem__splitI2,axiom, % 199.73/200.95 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 199.73/200.95 ( ! [B_a,B_b] : % 199.73/200.95 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 199.73/200.95 => 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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_setsum__SucD,axiom, % 199.73/200.95 ! [V_na_2,V_A_2,V_f_2,T_b] : % 199.73/200.95 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_na_2) % 199.73/200.95 => ? [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.95 & 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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Eps__split,axiom, % 199.73/200.95 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_nat__mod__eq__lemma,axiom, % 199.73/200.95 ! [V_y,V_n,V_x] : % 199.73/200.95 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 199.73/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 199.73/200.95 => ? [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)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_exE__some,axiom, % 199.73/200.95 ! [T_b,V_c_2,V_Pa_2] : % 199.73/200.95 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.73/200.95 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_someI__ex,axiom, % 199.73/200.95 ! [T_b,V_Pa_2] : % 199.73/200.95 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_some__eq__ex,axiom, % 199.73/200.95 ! [T_b,V_Pa_2] : % 199.73/200.95 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 199.73/200.95 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_some__eq__trivial,axiom, % 199.73/200.95 ! [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 ). % 199.73/200.95 % 199.73/200.95 fof(fact_some__sym__eq__trivial,axiom, % 199.73/200.95 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 199.73/200.95 % 199.73/200.95 fof(fact_tfl__some,axiom, % 199.73/200.95 ! [T_b,B_P] : % 199.73/200.95 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 199.73/200.95 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_someI,axiom, % 199.73/200.95 ! [T_b,V_x_2,V_Pa_2] : % 199.73/200.95 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_split__paired__Eps,axiom, % 199.73/200.95 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Eps__split__eq,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wfI__pf,axiom, % 199.73/200.95 ! [V_R_2,T_b] : % 199.73/200.95 ( ! [B_A] : % 199.73/200.95 ( 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))) % 199.73/200.95 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 199.73/200.95 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Sigma__mono,axiom, % 199.73/200.95 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.73/200.95 => ( ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.95 => 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))) ) % 199.73/200.95 => 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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_not__acc__down,axiom, % 199.73/200.95 ! [V_R_2,V_x_2,T_b] : % 199.73/200.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 199.73/200.95 => ~ ! [B_z] : % 199.73/200.95 ( 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)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_acc_OaccI,axiom, % 199.73/200.95 ! [V_r_2,V_x_2,T_b] : % 199.73/200.95 ( ! [B_y] : % 199.73/200.95 ( 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)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_max__ext_Osimps,axiom, % 199.73/200.95 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 199.73/200.95 ( 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))) % 199.73/200.95 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 199.73/200.95 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 199.73/200.95 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.73/200.95 & ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 199.73/200.95 => ? [B_xa] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 199.73/200.95 & 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)) ) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 199.73/200.95 ! [V_c_2,V_b_2,V_A_2,T_b] : % 199.73/200.95 ( class_Orderings_Olinorder(T_b) % 199.73/200.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.95 => ( ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 199.73/200.95 => 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))) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 199.73/200.95 ! [V_c_2,V_b_2,V_A_2,T_b] : % 199.73/200.95 ( class_Orderings_Olinorder(T_b) % 199.73/200.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.95 => ( ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 199.73/200.95 => 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))) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_mod__induct__0,axiom, % 199.73/200.95 ! [V_i_2,V_Pa_2,V_p_2] : % 199.73/200.95 ( ! [B_i] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 199.73/200.95 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 199.73/200.95 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 199.73/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 199.73/200.95 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_InterI,axiom, % 199.73/200.95 ! [V_A_2,V_C_2,T_b] : % 199.73/200.95 ( ! [B_X] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 199.73/200.95 => 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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Max__eqI,axiom, % 199.73/200.95 ! [V_x_2,V_A_2,T_b] : % 199.73/200.95 ( class_Orderings_Olinorder(T_b) % 199.73/200.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.95 => ( ! [B_y] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 199.73/200.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.95 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Min__eqI,axiom, % 199.73/200.95 ! [V_x_2,V_A_2,T_b] : % 199.73/200.95 ( class_Orderings_Olinorder(T_b) % 199.73/200.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.95 => ( ! [B_y] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 199.73/200.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.73/200.95 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_inf__le__fold__inf,axiom, % 199.73/200.95 ! [V_c_2,V_b_2,V_A_2,T_b] : % 199.73/200.95 ( class_Lattices_Osemilattice__inf(T_b) % 199.73/200.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.95 => ( ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 199.73/200.95 => 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))) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_fold__sup__le__sup,axiom, % 199.73/200.95 ! [V_c_2,V_b_2,V_A_2,T_b] : % 199.73/200.95 ( class_Lattices_Osemilattice__sup(T_b) % 199.73/200.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.73/200.95 => ( ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 199.73/200.95 => 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))) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wf__no__infinite__down__chainE,axiom, % 199.73/200.95 ! [V_f_2,V_r_2,T_b] : % 199.73/200.95 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.95 => ~ ! [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)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_setsum__reindex__cong,axiom, % 199.73/200.95 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 199.73/200.95 ( class_Groups_Ocomm__monoid__add(T_d) % 199.73/200.95 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.73/200.95 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 199.73/200.95 => ( ! [B_a] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.73/200.95 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 199.73/200.95 => 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) ) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_scomp__unfold,axiom, % 199.73/200.95 ! [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))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_setsum__ivl__cong,axiom, % 199.73/200.95 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 199.73/200.95 ( ( class_Groups_Ocomm__monoid__add(T_c) % 199.73/200.95 & class_Orderings_Oord(T_b) ) % 199.73/200.95 => ( V_a_2 = V_c_2 % 199.73/200.95 => ( V_b_2 = V_d_2 % 199.73/200.95 => ( ! [B_x] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 199.73/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 199.73/200.95 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 199.73/200.95 => 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)) ) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_less__eq,axiom, % 199.73/200.95 ! [V_na_2,V_m_2] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 199.73/200.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Pair__scomp,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_scomp__Pair,axiom, % 199.73/200.95 ! [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 ). % 199.73/200.95 % 199.73/200.95 fof(fact_scomp__scomp,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_scomp__apply,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wf__trancl,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.95 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_scomp__def,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_less__than__def,axiom, % 199.73/200.95 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 199.73/200.95 % 199.73/200.95 fof(fact_acyclic__def,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.73/200.95 <=> ! [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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl_Or__into__trancl,axiom, % 199.73/200.95 ! [V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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)) % 199.73/200.95 => hBOOL(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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__subset__Field2,axiom, % 199.73/200.95 ! [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))))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__Int__subset,axiom, % 199.73/200.95 ! [V_s_2,V_r_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 => ( 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)) % 199.73/200.95 => 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)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_r__into__trancl_H,axiom, % 199.73/200.95 ! [V_r_2,V_p_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__empty,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__domain,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__range,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_finite__trancl,axiom, % 199.73/200.95 ! [V_r_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.73/200.95 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__trans,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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)) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__into__trancl2,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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)) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_r__r__into__trancl,axiom, % 199.73/200.95 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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)) % 199.73/200.95 => ( 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)) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__mono,axiom, % 199.73/200.95 ! [V_s_2,V_r_2,V_p_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.73/200.95 => ( 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)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__unfold,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__subset__Sigma,axiom, % 199.73/200.95 ! [V_A_2,V_r_2,T_b] : % 199.73/200.95 ( 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)))) % 199.73/200.95 => 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)))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_iterate_Osimps,axiom, % 199.73/200.95 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 199.73/200.95 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.73/200.95 => 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) ) % 199.73/200.95 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.73/200.95 => 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)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__insert,axiom, % 199.73/200.95 ! [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)))))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_reflcl__set__eq,axiom, % 199.73/200.95 ! [V_y_2,V_x_2,V_r_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 <=> hBOOL(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)))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_r__into__rtrancl,axiom, % 199.73/200.95 ! [V_r_2,V_p_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl_Ortrancl__refl,axiom, % 199.73/200.95 ! [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))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_IdI,axiom, % 199.73/200.95 ! [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))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__into__rtrancl,axiom, % 199.73/200.95 ! [V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => hBOOL(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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__rtrancl__absorb,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__trancl__absorb,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__reflcl,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_reflcl__trancl,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__unfold__right,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__unfold__left,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__empty,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_r__comp__rtrancl__eq,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__idemp__self__comp,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__unfold,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__Int__subset,axiom, % 199.73/200.95 ! [V_r_2,V_s_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 => ( 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)) % 199.73/200.95 => 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)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_in__rtrancl__UnI,axiom, % 199.73/200.95 ! [V_S_2,V_R_2,V_x_2,T_b] : % 199.73/200.95 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.73/200.95 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 199.73/200.95 => 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)))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Image__closed__trancl,axiom, % 199.73/200.95 ! [V_X_2,V_r_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__reflcl__absorb,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__Un__rtrancl,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__reflcl,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__subset__rtrancl,axiom, % 199.73/200.95 ! [V_s_2,V_r_2,T_b] : % 199.73/200.95 ( 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))) % 199.73/200.95 => 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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__subset,axiom, % 199.73/200.95 ! [V_S_2,V_R_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 => ( 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))) % 199.73/200.95 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__mono,axiom, % 199.73/200.95 ! [V_s_2,V_r_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 => 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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__Un__subset,axiom, % 199.73/200.95 ! [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)))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_refl__rtrancl,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__idemp,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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)) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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)) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__trans,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__r__diff__Id,axiom, % 199.73/200.95 ! [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) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Range__rtrancl,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Domain__rtrancl,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Image__Id,axiom, % 199.73/200.95 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 199.73/200.95 % 199.73/200.95 fof(fact_Id__O__R,axiom, % 199.73/200.95 ! [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 ). % 199.73/200.95 % 199.73/200.95 fof(fact_R__O__Id,axiom, % 199.73/200.95 ! [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 ). % 199.73/200.95 % 199.73/200.95 fof(fact_pair__in__Id__conv,axiom, % 199.73/200.95 ! [V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 <=> V_a_2 = V_b_2 ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__trancl__trancl,axiom, % 199.73/200.95 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__rtrancl__trancl,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__into__trancl1,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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)) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtranclD,axiom, % 199.73/200.95 ! [V_R_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( V_a_2 = V_b_2 % 199.73/200.95 | ( V_a_2 != V_b_2 % 199.73/200.95 & hBOOL(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))) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__into__trancl2,axiom, % 199.73/200.95 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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)) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__eq__or__trancl,axiom, % 199.73/200.95 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 <=> ( V_x_2 = V_y_2 % 199.73/200.95 | ( V_x_2 != V_y_2 % 199.73/200.95 & hBOOL(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))) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Domain__Id,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Range__Id,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_refl__Id,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.73/200.95 fof(fact_pair__leq__def,axiom, % 199.73/200.95 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))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Not__Domain__rtrancl,axiom, % 199.73/200.95 ! [V_y_2,V_R_2,V_x_2,T_b] : % 199.73/200.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 199.73/200.95 => ( hBOOL(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))) % 199.73/200.95 <=> V_x_2 = V_y_2 ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_acc__downwards,axiom, % 199.73/200.95 ! [V_b_2,V_r_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.73/200.95 => ( 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))) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_acc__downwards__aux,axiom, % 199.73/200.95 ! [V_r_2,V_a_2,V_b_2,T_b] : % 199.73/200.95 ( 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))) % 199.73/200.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.73/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_wf__insert,axiom, % 199.73/200.95 ! [V_r_2,V_x_2,V_y_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 199.73/200.95 & ~ hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_acyclic__insert,axiom, % 199.73/200.95 ! [V_r_2,V_x_2,V_y_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.73/200.95 & ~ hBOOL(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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_refl__reflcl,axiom, % 199.73/200.95 ! [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))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_Id__def,axiom, % 199.73/200.95 ! [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))))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_irrefl__diff__Id,axiom, % 199.73/200.95 ! [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))) ). % 199.73/200.95 % 199.73/200.95 fof(fact_pred__nat__trancl__eq__le,axiom, % 199.73/200.95 ! [V_na_2,V_m_2] : % 199.73/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 199.73/200.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_trancl__subset__Sigma__aux,axiom, % 199.73/200.95 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.73/200.95 ( hBOOL(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))) % 199.73/200.95 => ( 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)))) % 199.73/200.95 => ( V_a_2 = V_b_2 % 199.73/200.95 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_log_Osimps,axiom, % 199.73/200.95 ! [V_i,V_b] : % 199.73/200.95 ( ( ( 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))) % 199.73/200.95 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 199.73/200.95 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 199.73/200.95 & ( ~ ( 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))) % 199.73/200.95 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 199.73/200.95 => 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))) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_minus__shift__def,axiom, % 199.73/200.95 ! [V_r,V_l,V_k] : % 199.73/200.95 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.73/200.95 => 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) ) % 199.73/200.95 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.73/200.95 => 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) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_inc__shift__def,axiom, % 199.73/200.95 ! [V_k,V_v] : % 199.73/200.95 ( ( V_v = V_k % 199.73/200.95 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 199.73/200.95 & ( V_v != V_k % 199.73/200.95 => 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)) ) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_range,axiom, % 199.73/200.95 ! [V_s,V_k] : % 199.73/200.95 ( 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)) % 199.73/200.95 => 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)) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_irrefl__tranclI,axiom, % 199.73/200.95 ! [V_x_2,V_r_2,T_b] : % 199.73/200.95 ( 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)) % 199.73/200.95 => ~ hBOOL(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))) ) ). % 199.73/200.95 % 199.73/200.95 fof(fact_rtrancl__converse,axiom, % 199.73/200.95 ! [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)) ). % 199.73/200.95 % 199.88/200.95 fof(fact_converse__Id,axiom, % 199.88/200.95 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__Un,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_trancl__converse,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_acyclic__converse,axiom, % 199.88/200.95 ! [V_r_2,T_b] : % 199.88/200.95 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.88/200.95 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_finite__converse,axiom, % 199.88/200.95 ! [V_r_2,T_c,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 199.88/200.95 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__Int,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__Id__on,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Field__converse,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__converse,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__inv__image,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_refl__on__converse,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.88/200.95 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__rel__comp,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__iff,axiom, % 199.88/200.95 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 <=> 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converseI,axiom, % 199.88/200.95 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converseD,axiom, % 199.88/200.95 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__UNION,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__INTER,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_wf__converse__trancl,axiom, % 199.88/200.95 ! [V_r_2,T_b] : % 199.88/200.95 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.88/200.95 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_equiv__comp__eq,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.88/200.95 => 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 ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Range__def,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Domain__converse,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Range__converse,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__converseD,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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)))) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__converseI,axiom, % 199.88/200.95 ! [V_r_2,V_x_2,V_y_2,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 => hBOOL(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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_trancl__converseD,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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)))) % 199.88/200.95 => hBOOL(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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_trancl__converseI,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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)))) % 199.88/200.95 => hBOOL(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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Image__subset__eq,axiom, % 199.88/200.95 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 <=> 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))))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_refl__on__comp__subset,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_comp__equivI,axiom, % 199.88/200.95 ! [V_A_2,V_r_2,T_b] : % 199.88/200.95 ( 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 % 199.88/200.95 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 199.88/200.95 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_finite__acyclic__wf__converse,axiom, % 199.88/200.95 ! [V_r_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.88/200.95 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.88/200.95 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converse__def,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Image__INT__eq,axiom, % 199.88/200.95 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 199.88/200.95 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 199.88/200.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sequence__trans,axiom, % 199.88/200.95 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 199.88/200.95 ( ! [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))) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valued__rel__comp,axiom, % 199.88/200.95 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 199.88/200.95 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 199.88/200.95 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valued__Id,axiom, % 199.88/200.95 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valued__subset,axiom, % 199.88/200.95 ! [V_s_2,V_r_2,T_c,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 199.88/200.95 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valued__Id__on,axiom, % 199.88/200.95 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valued__def,axiom, % 199.88/200.95 ! [V_r_2,T_c,T_b] : % 199.88/200.95 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 199.88/200.95 <=> ! [B_x,B_y] : % 199.88/200.95 ( 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)) % 199.88/200.95 => ! [B_z] : % 199.88/200.95 ( 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)) % 199.88/200.95 => B_y = B_z ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valuedD,axiom, % 199.88/200.95 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 199.88/200.95 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 199.88/200.95 => ( 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)) % 199.88/200.95 => ( 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)) % 199.88/200.95 => V_y_2 = V_z_2 ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valued__confluent,axiom, % 199.88/200.95 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 199.88/200.95 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 199.88/200.95 => ( hBOOL(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))) % 199.88/200.95 => ( hBOOL(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))) % 199.88/200.95 => ( 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))) % 199.88/200.95 | 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))) ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Image__Int__eq,axiom, % 199.88/200.95 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 199.88/200.95 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_total__on__diff__Id,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 199.88/200.95 ! [V_R_2,V_p_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.88/200.95 => 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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_single__valued__rel__pow,axiom, % 199.88/200.95 ! [V_na_2,V_R_2,T_b] : % 199.88/200.95 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 199.88/200.95 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__commute,axiom, % 199.88/200.95 ! [V_na_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__1,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_funpow__mult,axiom, % 199.88/200.95 ! [V_f_2,V_m_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) ). % 199.88/200.95 % 199.88/200.95 fof(fact_funpow__swap1,axiom, % 199.88/200.95 ! [V_x_2,V_na_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_comp__funpow,axiom, % 199.88/200.95 ! [V_f_2,V_na_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_na_2),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_na_2),V_f_2)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_wf__exp,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,T_b] : % 199.88/200.95 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) % 199.88/200.95 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__imp__rtrancl,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,V_p_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__power,axiom, % 199.88/200.95 ! [V_R_2,V_p_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.88/200.95 <=> ? [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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_relpow_Osimps_I2_J,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__add,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_relpow_Osimps_I1_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_total__on__empty,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_total__on__converse,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.88/200.95 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__0__I,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__0__E,axiom, % 199.88/200.95 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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))) % 199.88/200.95 => V_x_2 = V_y_2 ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__Suc__I2,axiom, % 199.88/200.95 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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)) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__Suc__I,axiom, % 199.88/200.95 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 199.88/200.95 => ( 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)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_funpow_Osimps_I2_J,axiom, % 199.88/200.95 ! [V_f_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_funpow__add,axiom, % 199.88/200.95 ! [V_f_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_funpow_Osimps_I1_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_trancl__power,axiom, % 199.88/200.95 ! [V_R_2,V_p_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 199.88/200.95 <=> ? [B_n] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 199.88/200.95 & 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_total__on__def,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 199.88/200.95 <=> ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.95 => ! [B_xa] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.88/200.95 => ( B_x != B_xa % 199.88/200.95 => ( 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)) % 199.88/200.95 | 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)) ) ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_funpow__code__def,axiom, % 199.88/200.95 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__E,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 199.88/200.95 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => V_x_2 != V_z_2 ) % 199.88/200.95 => ~ ! [B_y,B_m] : % 199.88/200.95 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 199.88/200.95 => ( 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))) % 199.88/200.95 => ~ 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)) ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__E2,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 199.88/200.95 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => V_x_2 != V_z_2 ) % 199.88/200.95 => ~ ! [B_y,B_m] : % 199.88/200.95 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 199.88/200.95 => ( 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)) % 199.88/200.95 => ~ 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))) ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_acyclicI,axiom, % 199.88/200.95 ! [V_r_2,T_b] : % 199.88/200.95 ( ! [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))) % 199.88/200.95 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__Un__separator__converseE,axiom, % 199.88/200.95 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2)))) % 199.88/200.95 => ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 199.88/200.95 => ! [B_y] : % 199.88/200.95 ( 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)) % 199.88/200.95 => B_y = B_x ) ) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__Un__separatorE,axiom, % 199.88/200.95 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2)))) % 199.88/200.95 => ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 199.88/200.95 => ! [B_y] : % 199.88/200.95 ( 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)) % 199.88/200.95 => B_x = B_y ) ) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__Suc__E,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) % 199.88/200.95 => ~ ! [B_y] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 199.88/200.95 => ~ 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__Suc__E2,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) % 199.88/200.95 => ~ ! [B_y] : % 199.88/200.95 ( 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)) % 199.88/200.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__pow__Suc__D2,axiom, % 199.88/200.95 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) % 199.88/200.95 => ? [B_y] : % 199.88/200.95 ( 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)) % 199.88/200.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_tranclD,axiom, % 199.88/200.95 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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))) % 199.88/200.95 => ? [B_z] : % 199.88/200.95 ( 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)) % 199.88/200.95 & 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_tranclD2,axiom, % 199.88/200.95 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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))) % 199.88/200.95 => ? [B_z] : % 199.88/200.95 ( 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))) % 199.88/200.95 & 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_IdE,axiom, % 199.88/200.95 ! [V_p_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 199.88/200.95 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nat__intermed__int__val,axiom, % 199.88/200.95 ! [V_k_2,V_f_2,V_na_2,V_m_2] : % 199.88/200.95 ( ! [B_i] : % 199.88/200.95 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 199.88/200.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) ) % 199.88/200.95 => 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))) ) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 199.88/200.95 => ? [B_i] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 199.88/200.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 199.88/200.95 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_mod__div__decomp,axiom, % 199.88/200.95 ! [V_b,V_a,T_a] : % 199.88/200.95 ( class_Divides_Osemiring__div(T_a) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_wf__eq__minimal,axiom, % 199.88/200.95 ! [V_r_2,T_b] : % 199.88/200.95 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.88/200.95 <=> ! [B_Q] : % 199.88/200.95 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 199.88/200.95 => ? [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 199.88/200.95 & ! [B_y] : % 199.88/200.95 ( 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)) % 199.88/200.95 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_transfer__nat__int__set__cong,axiom, % 199.88/200.95 ! [V_P_H_2,V_Pa_2] : % 199.88/200.95 ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.88/200.95 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.88/200.95 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 199.88/200.95 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Int__Collect__mono,axiom, % 199.88/200.95 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.88/200.95 => ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.95 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.88/200.95 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_UnionE,axiom, % 199.88/200.95 ! [V_C_2,V_A_2,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ~ ! [B_X] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 199.88/200.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rel__compE,axiom, % 199.88/200.95 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ~ ! [B_x,B_y,B_z] : % 199.88/200.95 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 199.88/200.95 => ( 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)) % 199.88/200.95 => ~ 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)) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_converseE,axiom, % 199.88/200.95 ! [V_r_2,V_yx_2,T_c,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ~ ! [B_x,B_y] : % 199.88/200.95 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 199.88/200.95 => ~ 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Oplus__frac__def,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_setprod__pos,axiom, % 199.88/200.95 ! [V_f_2,V_A_2,T_b,T_c] : % 199.88/200.95 ( class_Rings_Olinordered__semidom(T_c) % 199.88/200.95 => ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Otimes__frac__def,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Oof__frac__def,axiom, % 199.88/200.95 ! [V_q,T_a,T_b] : % 199.88/200.95 ( ( class_Rings_Oinverse(T_b) % 199.88/200.95 & class_Rings_Oring__1(T_b) ) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Oless__frac__def,axiom, % 199.88/200.95 ! [V_r_2,V_q_2,T_b] : % 199.88/200.95 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 199.88/200.95 <=> 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 199.88/200.95 ! [V_r_2,V_q_2,T_b] : % 199.88/200.95 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 199.88/200.95 <=> 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Odenom__def,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Onum__def,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_internal__split__def,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_setprod__nonneg,axiom, % 199.88/200.95 ! [V_f_2,V_A_2,T_b,T_c] : % 199.88/200.95 ( class_Rings_Olinordered__semidom(T_c) % 199.88/200.95 => ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_internal__split__conv,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_finite__less__ub,axiom, % 199.88/200.95 ! [V_u_2,V_f_2] : % 199.88/200.95 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 199.88/200.95 => 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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lenlex__def,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_neq__if__length__neq,axiom, % 199.88/200.95 ! [V_ys,V_xs,T_a] : % 199.88/200.95 ( 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) % 199.88/200.95 => V_xs != V_ys ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexn__length,axiom, % 199.88/200.95 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2))) % 199.88/200.95 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2 % 199.88/200.95 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lenlex__conv,axiom, % 199.88/200.95 ! [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)))))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__sublist,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexn_Osimps_I2_J,axiom, % 199.88/200.95 ! [V_na_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2)))))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_impossible__Cons,axiom, % 199.88/200.95 ! [V_x,V_ys,V_xs,T_a] : % 199.88/200.95 ( 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))) % 199.88/200.95 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_not__Cons__self,axiom, % 199.88/200.95 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 199.88/200.95 % 199.88/200.95 fof(fact_not__Cons__self2,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Oinject,axiom, % 199.88/200.95 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 199.88/200.95 ( 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) % 199.88/200.95 <=> ( V_a_2 = V_a_H_2 % 199.88/200.95 & V_list_2 = V_list_H_2 ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osize_I4_J,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Cons__in__lex,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( ( hBOOL(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)) % 199.88/200.95 & 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) ) % 199.88/200.95 | ( V_x_2 = V_y_2 % 199.88/200.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__Cons__def,axiom, % 199.88/200.95 ! [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)))))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_pick_Osimps,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a,V_i] : % 199.88/200.95 ( ( 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))) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( ~ 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))) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_select__weight__cons__zero,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__cons__cons,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( hBOOL(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)) % 199.88/200.95 | ( V_a_2 = V_b_2 % 199.88/200.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__lex,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 & 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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))) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osize_I2_J,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Cons__acc__listrel1I,axiom, % 199.88/200.95 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.88/200.95 => ( 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)))) % 199.88/200.95 => 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)))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1__converse,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1__mono,axiom, % 199.88/200.95 ! [V_s_2,V_r_2,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 199.88/200.95 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1I2,axiom, % 199.88/200.95 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__listrel1__eq__len,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1__eq__len,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__listrel1__converse,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 199.88/200.95 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1I1,axiom, % 199.88/200.95 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Cons__listrel1__Cons,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( ( hBOOL(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)) % 199.88/200.95 & V_xs_2 = V_ys_2 ) % 199.88/200.95 | ( V_x_2 = V_y_2 % 199.88/200.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__Cons,axiom, % 199.88/200.95 ! [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))))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__irreflexive,axiom, % 199.88/200.95 ! [V_y_2,V_r_2,T_b] : % 199.88/200.95 ( ! [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)) % 199.88/200.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__rtrancl__refl,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__mono,axiom, % 199.88/200.95 ! [V_s_2,V_r_2,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__eq__len,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__rtrancl__trans,axiom, % 199.88/200.95 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__reflcl__if__listrel1,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1__subset__listrel,axiom, % 199.88/200.95 ! [V_r_H_2,V_r_2,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel_OCons,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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)) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrelp__listrel__eq,axiom, % 199.88/200.95 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 199.88/200.95 ( 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) % 199.88/200.95 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__Cons2,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => ~ ! [B_x,B_xs] : % 199.88/200.95 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 199.88/200.95 => ( 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)) % 199.88/200.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrelp_OCons,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 199.88/200.95 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrelp_Oequations_I2_J,axiom, % 199.88/200.95 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 199.88/200.95 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__Cons1,axiom, % 199.88/200.95 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => ~ ! [B_y,B_ys] : % 199.88/200.95 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 199.88/200.95 => ( 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)) % 199.88/200.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__subset,axiom, % 199.88/200.95 ! [V_A_2,V_r_2,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => 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))))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lists__UNIV,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lists__mono,axiom, % 199.88/200.95 ! [V_B_2,V_A_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_equiv__listrel,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__refl__on,axiom, % 199.88/200.95 ! [V_r_2,V_A_2,T_b] : % 199.88/200.95 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Cons__in__lists__iff,axiom, % 199.88/200.95 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.88/200.95 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lists__accD,axiom, % 199.88/200.95 ! [V_r_2,V_xs_2,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => 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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lists__accI,axiom, % 199.88/200.95 ! [V_r_2,V_xs_2,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => 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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__iff__nth,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( 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) % 199.88/200.95 & ! [B_n] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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)) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__linear,axiom, % 199.88/200.95 ! [V_y_2,V_x_2,V_r_2,T_b] : % 199.88/200.95 ( ! [B_a,B_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 | B_a = B_b % 199.88/200.95 | 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)) ) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 | V_x_2 = V_y_2 % 199.88/200.95 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_infinite__UNIV__listI,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__eq__iff__nth__eq,axiom, % 199.88/200.95 ! [T_b,V_ys_2,V_xs_2] : % 199.88/200.95 ( V_xs_2 = V_ys_2 % 199.88/200.95 <=> ( 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) % 199.88/200.95 & ! [B_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__Cons__0,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__Cons__Suc,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth_Osimps,axiom, % 199.88/200.95 ! [V_na_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_na_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_na_2) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__Cons_H,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a,V_n] : % 199.88/200.95 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 199.88/200.95 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__Cons__number__of,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a,V_v] : % 199.88/200.95 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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 ) % 199.88/200.95 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__take__index__conv,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( ( 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))) % 199.88/200.95 & 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 ) % 199.88/200.95 | ? [B_i] : % 199.88/200.95 ( 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)))) % 199.88/200.95 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 199.88/200.95 & 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)) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__sublist,axiom, % 199.88/200.95 ! [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))))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_finite__set,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__subset__Cons,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__all,axiom, % 199.88/200.95 ! [V_n,V_xs,T_a] : % 199.88/200.95 ( 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)) % 199.88/200.95 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__take__subset__set__take,axiom, % 199.88/200.95 ! [V_xs_2,T_b,V_na_2,V_m_2] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__take__subset,axiom, % 199.88/200.95 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__sublist__subset,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__take,axiom, % 199.88/200.95 ! [V_xs,T_a,V_n,V_i] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__ConsD,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => ( V_y_2 = V_x_2 % 199.88/200.95 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__sublistD,axiom, % 199.88/200.95 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__takeD,axiom, % 199.88/200.95 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_notin__set__sublistI,axiom, % 199.88/200.95 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => ~ 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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__Suc__Cons,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__take,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__take,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_List_Oset_Osimps_I2_J,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sublist__upt__eq__take,axiom, % 199.88/200.95 ! [V_na_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_l_2) ). % 199.88/200.95 % 199.88/200.95 fof(fact_card__length,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_all__set__conv__all__nth,axiom, % 199.88/200.95 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.95 ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.95 <=> ! [B_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__size__estimation,axiom, % 199.88/200.95 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__size__estimation_H,axiom, % 199.88/200.95 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__lists__conv__set,axiom, % 199.88/200.95 ! [V_A_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 199.88/200.95 <=> ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__pos__if__in__set,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__conv__nth,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 <=> ? [B_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__mem,axiom, % 199.88/200.95 ! [V_xs_2,T_b,V_na_2] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lists__eq__set,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__conv__nth,axiom, % 199.88/200.95 ! [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))))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_finite__lists__length__eq,axiom, % 199.88/200.95 ! [V_na_2,V_A_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_finite__lists__length__le,axiom, % 199.88/200.95 ! [V_na_2,V_A_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__iff__zip,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( 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) % 199.88/200.95 & ! [B_x] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => 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)) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__zip,axiom, % 199.88/200.95 ! [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)))))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__zip,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__zip,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip__Cons__Cons,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__eq__iff__zip__eq,axiom, % 199.88/200.95 ! [T_b,V_ys_2,V_xs_2] : % 199.88/200.95 ( V_xs_2 = V_ys_2 % 199.88/200.95 <=> ( 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) % 199.88/200.95 & ! [B_x] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip__same,axiom, % 199.88/200.95 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 199.88/200.95 ( hBOOL(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)))) % 199.88/200.95 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 & V_a_2 = V_b_2 ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__zip__leftD,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__zip__rightD,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__zipE,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 199.88/200.95 ( 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)))) % 199.88/200.95 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__zip,axiom, % 199.88/200.95 ! [V_ys,T_b,V_xs,T_a,V_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( 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))) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_greaterThanLessThan__upto,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listsum__setsum__nth,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( class_Groups_Ocomm__monoid__add(T_b) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 199.88/200.95 ! [V_ns_2] : % 199.88/200.95 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 <=> ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 199.88/200.95 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__upto,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_atLeastAtMost__upto,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_elem__le__listsum__nat,axiom, % 199.88/200.95 ! [V_ns,V_k] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listsum__simps_I2_J,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a] : % 199.88/200.95 ( class_Groups_Omonoid__add(T_a) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_atLeastLessThan__upto,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_greaterThanAtMost__upto,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nat__list__def,axiom, % 199.88/200.95 ! [V_l_2] : % 199.88/200.95 ( c_List_Onat__list(V_l_2) % 199.88/200.95 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__size__pointwise,axiom, % 199.88/200.95 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 199.88/200.95 ( ! [B_x] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listsum__update__nat,axiom, % 199.88/200.95 ! [V_n,V_ns,V_k] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast__take,axiom, % 199.88/200.95 ! [V_xs,T_a,V_n] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__beyond,axiom, % 199.88/200.95 ! [V_x,V_i,V_xs,T_a] : % 199.88/200.95 ( 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)) % 199.88/200.95 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__list__update__neq,axiom, % 199.88/200.95 ! [V_x,V_xs,T_a,V_j,V_i] : % 199.88/200.95 ( V_i != V_j % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__id,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__list__update,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast__list__update,axiom, % 199.88/200.95 ! [V_x,V_xs,T_a,V_k] : % 199.88/200.95 ( ( 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)) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( 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)) % 199.88/200.95 => 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip__update,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_update__zip,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__overwrite,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__swap,axiom, % 199.88/200.95 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 199.88/200.95 ( V_i != V_i_H % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update_Osimps_I2_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__code_I2_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__code_I3_J,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__butlastD,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__update__subsetI,axiom, % 199.88/200.95 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 199.88/200.95 ( 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)) % 199.88/200.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__update__subset__insert,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__list__update__eq,axiom, % 199.88/200.95 ! [V_x,V_xs,T_a,V_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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 ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__same__conv,axiom, % 199.88/200.95 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 199.88/200.95 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__list__update,axiom, % 199.88/200.95 ! [V_x,V_j,V_xs,T_a,V_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( ( V_i = V_j % 199.88/200.95 => 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 ) % 199.88/200.95 & ( V_i != V_j % 199.88/200.95 => 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) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__butlast,axiom, % 199.88/200.95 ! [V_xs,T_a,V_n] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__butlast,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__update__memI,axiom, % 199.88/200.95 ! [V_x_2,V_xs_2,T_b,V_na_2] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_na_2),V_x_2)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast__conv__take,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1__iff__update,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ? [B_y,B_n] : % 199.88/200.95 ( 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)) % 199.88/200.95 & 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))) % 199.88/200.95 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__list__update,axiom, % 199.88/200.95 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 => ( ~ 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)))))) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__upto,axiom, % 199.88/200.95 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__take,axiom, % 199.88/200.95 ! [V_i,V_xs,T_a] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__sublistI,axiom, % 199.88/200.95 ! [V_I_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__zipI1,axiom, % 199.88/200.95 ! [V_ys,T_b,V_xs,T_a] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__zipI2,axiom, % 199.88/200.95 ! [V_xs,T_b,V_ys,T_a] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct_Osimps_I2_J,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 199.88/200.95 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__card,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_card__distinct,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( 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) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__eq__iff__index__eq,axiom, % 199.88/200.95 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 => ( 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))) % 199.88/200.95 => ( 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))) % 199.88/200.95 => ( 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) % 199.88/200.95 <=> V_i_2 = V_j_2 ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__conv__nth,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 <=> ! [B_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ! [B_j] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( B_i != B_j % 199.88/200.95 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__listsum__conv__Setsum,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( class_Groups_Ocomm__monoid__add(T_b) % 199.88/200.95 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nitpick_Ocard_H__def,axiom, % 199.88/200.95 ! [V_A_2,T_b] : % 199.88/200.95 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.95 => 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)))) ) % 199.88/200.95 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.95 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__take__lemma,axiom, % 199.88/200.95 ! [V_ys,V_xs,T_a,V_k] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( 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))) % 199.88/200.95 => ( ! [B_i] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 199.88/200.95 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 199.88/200.95 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__remove1__eq,axiom, % 199.88/200.95 ! [V_x_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 => 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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__Cons__number__of,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a,V_v] : % 199.88/200.95 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lists_ONil,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__Nil1,axiom, % 199.88/200.95 ! [V_r_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__Nil2,axiom, % 199.88/200.95 ! [V_r_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__butlast,axiom, % 199.88/200.95 ! [T_a,V_xs] : % 199.88/200.95 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.95 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__remove1,axiom, % 199.88/200.95 ! [V_x,V_xs,T_a] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct_Osimps_I1_J,axiom, % 199.88/200.95 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast_Osimps_I1_J,axiom, % 199.88/200.95 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast_Osimps_I2_J,axiom, % 199.88/200.95 ! [V_x,T_a,V_xs] : % 199.88/200.95 ( ( V_xs = c_List_Olist_ONil(T_a) % 199.88/200.95 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 199.88/200.95 & ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osimps_I2_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osimps_I3_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_remove1_Osimps_I2_J,axiom, % 199.88/200.95 ! [V_xs,T_a,V_y,V_x] : % 199.88/200.95 ( ( V_x = V_y % 199.88/200.95 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 199.88/200.95 & ( V_x != V_y % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_upto__empty,axiom, % 199.88/200.95 ! [V_i,V_j] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 199.88/200.95 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__eq__Nil,axiom, % 199.88/200.95 ! [V_xs_2,V_na_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.95 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__0,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__Nil,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sublist__nil,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_remove1__commute,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_remove1_Osimps_I1_J,axiom, % 199.88/200.95 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrelp_Oequations_I1_J,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrelp_ONil,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip__Nil,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip_Osimps_I1_J,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listsum__simps_I1_J,axiom, % 199.88/200.95 ! [T_a] : % 199.88/200.95 ( class_Groups_Omonoid__add(T_a) % 199.88/200.95 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osize_I3_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__0__conv,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__empty,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.88/200.95 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__empty2,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 199.88/200.95 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_List_Oset_Osimps_I1_J,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__code_I1_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update_Osimps_I1_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__nonempty,axiom, % 199.88/200.95 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 199.88/200.95 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osize_I1_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__remove1,axiom, % 199.88/200.95 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 199.88/200.95 ( V_a_2 != V_b_2 % 199.88/200.95 => ( 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)))) % 199.88/200.95 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_notin__set__remove1,axiom, % 199.88/200.95 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => ~ 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)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_remove1__idem,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sublist__empty,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__remove1__subset,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__greater__0__conv,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__1__Cons,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_not__Nil__listrel1,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_not__listrel1__Nil,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel_ONil,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__Nil__right,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nil__notin__lex,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nil2__notin__lex,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__Cons,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_na_2) ). % 199.88/200.95 % 199.88/200.95 fof(fact_upto_Osimps,axiom, % 199.88/200.95 ! [V_j,V_i] : % 199.88/200.95 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.88/200.95 => 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)) ) % 199.88/200.95 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.88/200.95 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sublist__singleton,axiom, % 199.88/200.95 ! [V_x_2,T_b,V_A_2] : % 199.88/200.95 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 199.88/200.95 => 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)) ) % 199.88/200.95 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 199.88/200.95 => 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lists__empty,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__Cons_H,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a,V_n] : % 199.88/200.95 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_upto__rec__number__of,axiom, % 199.88/200.95 ! [V_n,V_m] : % 199.88/200.95 ( ( 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))) % 199.88/200.95 => 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))) ) % 199.88/200.95 & ( ~ 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))) % 199.88/200.95 => 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel__Nil,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__Cons__sing__Nil,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__remove1,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => 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)) ) % 199.88/200.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_upto_Opsimps,axiom, % 199.88/200.95 ! [V_j_2,V_i_2] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 199.88/200.95 => 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)) ) % 199.88/200.95 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 199.88/200.95 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_select,axiom, % 199.88/200.95 ! [V_s_2,T_b,V_xs_2] : % 199.88/200.95 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listset_Osimps_I1_J,axiom, % 199.88/200.95 ! [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))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip__Cons1,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osimps_I5_J,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list_Osimps_I4_J,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_listset_Osimps_I2_J,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip__Cons,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sorted__list__of__set__remove,axiom, % 199.88/200.95 ! [V_x_2,V_A_2,T_b] : % 199.88/200.95 ( class_Orderings_Olinorder(T_b) % 199.88/200.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_upto_Opinduct,axiom, % 199.88/200.95 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( ! [B_i,B_j] : % 199.88/200.95 ( 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))) % 199.88/200.95 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 199.88/200.95 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 199.88/200.95 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 199.88/200.95 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sorted__list__of__set__empty,axiom, % 199.88/200.95 ! [T_b] : % 199.88/200.95 ( class_Orderings_Olinorder(T_b) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_anamorph_Osimps,axiom, % 199.88/200.95 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 199.88/200.95 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sublist__Cons,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__eq__Cons__conv,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 199.88/200.95 ( 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) % 199.88/200.95 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 199.88/200.95 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 199.88/200.95 | ? [B_ys_H] : % 199.88/200.95 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 199.88/200.95 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Cons__eq__append__conv,axiom, % 199.88/200.95 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( 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) % 199.88/200.95 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 199.88/200.95 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 199.88/200.95 | ? [B_ys_H] : % 199.88/200.95 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 199.88/200.95 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append1__eq__conv,axiom, % 199.88/200.95 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 <=> ( V_xs_2 = V_ys_2 % 199.88/200.95 & V_x_2 = V_y_2 ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__Cons,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_Cons__eq__appendI,axiom, % 199.88/200.95 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 199.88/200.95 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 199.88/200.95 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 199.88/200.95 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__in__lists__conv,axiom, % 199.88/200.95 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( 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))) % 199.88/200.95 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 199.88/200.95 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__eq__appendI,axiom, % 199.88/200.95 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 199.88/200.95 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 199.88/200.95 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 199.88/200.95 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__same__eq,axiom, % 199.88/200.95 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 199.88/200.95 ( 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) % 199.88/200.95 <=> V_ys_2 = V_zs_2 ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_same__append__eq,axiom, % 199.88/200.95 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( 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) % 199.88/200.95 <=> V_ys_2 = V_zs_2 ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__eq__append__conv2,axiom, % 199.88/200.95 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2) % 199.88/200.95 <=> ? [B_us] : % 199.88/200.95 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 199.88/200.95 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 199.88/200.95 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 199.88/200.95 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__assoc,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listsum__append,axiom, % 199.88/200.95 ! [V_ys,V_xs,T_a] : % 199.88/200.95 ( class_Groups_Omonoid__add(T_a) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__append,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_zip__append,axiom, % 199.88/200.95 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 199.88/200.95 ( 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) % 199.88/200.95 => ( 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) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__append,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__Nil,axiom, % 199.88/200.95 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 199.88/200.95 % 199.88/200.95 fof(fact_Nil__is__append__conv,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 199.88/200.95 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 199.88/200.95 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__Nil2,axiom, % 199.88/200.95 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 199.88/200.95 % 199.88/200.95 fof(fact_self__append__conv,axiom, % 199.88/200.95 ! [V_ys_2,T_b,V_xs_2] : % 199.88/200.95 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 199.88/200.95 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_self__append__conv2,axiom, % 199.88/200.95 ! [V_xs_2,T_b,V_ys_2] : % 199.88/200.95 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 199.88/200.95 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__is__Nil__conv,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 199.88/200.95 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 199.88/200.95 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__self__conv,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 199.88/200.95 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__self__conv2,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 199.88/200.95 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_eq__Nil__appendI,axiom, % 199.88/200.95 ! [T_a,V_ys,V_xs] : % 199.88/200.95 ( V_xs = V_ys % 199.88/200.95 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast__append,axiom, % 199.88/200.95 ! [V_xs,T_a,V_ys] : % 199.88/200.95 ( ( V_ys = c_List_Olist_ONil(T_a) % 199.88/200.95 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 199.88/200.95 & ( V_ys != c_List_Olist_ONil(T_a) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__append__length,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__append__length__plus,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__append,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__append1,axiom, % 199.88/200.95 ! [V_x,V_ys,V_xs,T_a,V_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__length,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_remove1__append,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__butlast__appendI,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 199.88/200.95 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 199.88/200.95 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 199.88/200.95 => 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))))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast__snoc,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__listrel1I,axiom, % 199.88/200.95 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 & V_us_2 = V_vs_2 ) % 199.88/200.95 | ( V_xs_2 = V_ys_2 % 199.88/200.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__append__leftI,axiom, % 199.88/200.95 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__append,axiom, % 199.88/200.95 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 199.88/200.95 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.95 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 199.88/200.95 & 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__append,axiom, % 199.88/200.95 ! [V_ys,V_xs,T_a,V_n] : % 199.88/200.95 ( ( 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))) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( ~ 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))) % 199.88/200.95 => 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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_list__update__append,axiom, % 199.88/200.95 ! [V_x,V_ys,V_xs,T_a,V_n] : % 199.88/200.95 ( ( 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))) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( ~ 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))) % 199.88/200.95 => 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)) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_sublist__append,axiom, % 199.88/200.95 ! [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)))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1I,axiom, % 199.88/200.95 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(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)) % 199.88/200.95 => ( 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)) % 199.88/200.95 => ( 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)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__append__left__rightI,axiom, % 199.88/200.95 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 199.88/200.95 ( hBOOL(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)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__Suc__conv__app__nth,axiom, % 199.88/200.95 ! [V_xs,T_a,V_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_snoc__listrel1__snoc__iff,axiom, % 199.88/200.95 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 & V_x_2 = V_y_2 ) % 199.88/200.95 | ( V_xs_2 = V_ys_2 % 199.88/200.95 & hBOOL(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)) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_listrel1E,axiom, % 199.88/200.95 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => ~ ! [B_x,B_y] : % 199.88/200.95 ( 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)) % 199.88/200.95 => ! [B_us,B_vs] : % 199.88/200.95 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 199.88/200.95 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_lexord__append__leftD,axiom, % 199.88/200.95 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.95 => ( ! [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)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rotate1__def,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_upd__conv__take__nth__drop,axiom, % 199.88/200.95 ! [V_a,V_xs,T_a,V_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__take__drop__id,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__1__Cons,axiom, % 199.88/200.95 ! [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 ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__Suc__Cons,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__via__drop,axiom, % 199.88/200.95 ! [V_ys,V_y,V_xs,V_n,T_a] : % 199.88/200.95 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 199.88/200.95 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct__drop,axiom, % 199.88/200.95 ! [V_i,V_xs,T_a] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.95 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_distinct1__rotate,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 199.88/200.95 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_butlast__drop,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__butlast,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__take,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__drop,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__0,axiom, % 199.88/200.95 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__drop,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__zip,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__drop,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_length__rotate1,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__rotate1,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_in__set__dropD,axiom, % 199.88/200.95 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__drop__subset,axiom, % 199.88/200.95 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__Nil,axiom, % 199.88/200.95 ! [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) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rotate1__is__Nil__conv,axiom, % 199.88/200.95 ! [V_xs_2,T_b] : % 199.88/200.95 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.95 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_set__drop__subset__set__drop,axiom, % 199.88/200.95 ! [V_xs_2,T_b,V_m_2,V_na_2] : % 199.88/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) % 199.88/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__all,axiom, % 199.88/200.95 ! [V_n,V_xs,T_a] : % 199.88/200.95 ( 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)) % 199.88/200.95 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__eq__Nil,axiom, % 199.88/200.95 ! [V_xs_2,V_na_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_na_2)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__append,axiom, % 199.88/200.95 ! [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)) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__eq__conv__conj,axiom, % 199.88/200.95 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 199.88/200.95 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 199.88/200.95 <=> ( 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) % 199.88/200.95 & 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__Cons,axiom, % 199.88/200.95 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_na_2) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__Cons_H,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a,V_n] : % 199.88/200.95 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__drop,axiom, % 199.88/200.95 ! [V_xs,T_a,V_i,V_n] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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)) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_append__eq__append__conv__if,axiom, % 199.88/200.95 ! [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] : % 199.88/200.95 ( 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) % 199.88/200.95 <=> ( ( 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))) % 199.88/200.95 => ( 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) % 199.88/200.95 & 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) ) ) % 199.88/200.95 & ( ~ 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))) % 199.88/200.95 => ( 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 % 199.88/200.95 & 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 ) ) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_nth__drop_H,axiom, % 199.88/200.95 ! [V_xs,T_a,V_i] : % 199.88/200.95 ( 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))) % 199.88/200.95 => 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) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_rotate__simps,axiom, % 199.88/200.95 ! [V_xs,V_x,T_b,T_a] : % 199.88/200.95 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 199.88/200.95 & 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))) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_drop__Cons__number__of,axiom, % 199.88/200.95 ! [V_xs,V_x,T_a,V_v] : % 199.88/200.95 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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) ) % 199.88/200.95 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.95 => 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) ) ) ). % 199.88/200.95 % 199.88/200.95 fof(fact_take__add,axiom, % 199.88/200.95 ! [V_xs,T_a,V_j,V_i] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate1__length01,axiom, % 199.88/200.96 ! [V_xs,T_a] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__append2,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__append1,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_id__take__nth__drop,axiom, % 199.88/200.96 ! [V_xs,T_a,V_i] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_take__hd__drop,axiom, % 199.88/200.96 ! [V_xs,T_a,V_n] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__drop__conv__nth,axiom, % 199.88/200.96 ! [V_n,T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => ( 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))) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd_Osimps,axiom, % 199.88/200.96 ! [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 ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__append2,axiom, % 199.88/200.96 ! [V_ys,T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__append,axiom, % 199.88/200.96 ! [V_ys,T_a,V_xs] : % 199.88/200.96 ( ( V_xs = c_List_Olist_ONil(T_a) % 199.88/200.96 => 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) ) % 199.88/200.96 & ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__in__set,axiom, % 199.88/200.96 ! [T_b,V_xs_2] : % 199.88/200.96 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__conv__nth,axiom, % 199.88/200.96 ! [T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate1__hd__tl,axiom, % 199.88/200.96 ! [T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__rotate__conv__nth,axiom, % 199.88/200.96 ! [V_n,T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_drop__tl,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_tl__drop,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_tl_Osimps_I2_J,axiom, % 199.88/200.96 ! [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 ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__tl,axiom, % 199.88/200.96 ! [V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__rotate,axiom, % 199.88/200.96 ! [V_xs_2,V_na_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2))) % 199.88/200.96 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate0,axiom, % 199.88/200.96 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__rotate,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__add,axiom, % 199.88/200.96 ! [V_na_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_na_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__rotate,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__rotate,axiom, % 199.88/200.96 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_tl_Osimps_I1_J,axiom, % 199.88/200.96 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__is__Nil__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_na_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.96 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__def,axiom, % 199.88/200.96 ! [V_na_2,T_b] : c_List_Orotate(T_b,V_na_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_na_2),c_List_Orotate1(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate1__rotate__swap,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_tl__append2,axiom, % 199.88/200.96 ! [V_ys,T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_take__tl,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__conv__mod,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_drop__Suc,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__Suc,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_tl__append,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__id,axiom, % 199.88/200.96 ! [V_xs,T_a,V_n] : % 199.88/200.96 ( 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) % 199.88/200.96 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__length01,axiom, % 199.88/200.96 ! [V_n,V_xs,T_a] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__tl,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_tl__take,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_take__Suc,axiom, % 199.88/200.96 ! [V_n,T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__drop__take,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_fold1__set,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.88/200.96 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_lexord__append__rightI,axiom, % 199.88/200.96 ! [V_r_2,V_x_2,T_b,V_y_2] : % 199.88/200.96 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__Nil,axiom, % 199.88/200.96 ! [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 ). % 199.88/200.96 % 199.88/200.96 fof(fact_start__le__sum,axiom, % 199.88/200.96 ! [V_ns_2,V_na_2,V_m_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_ns_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__assoc,axiom, % 199.88/200.96 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 199.88/200.96 ( class_Groups_Osemigroup__add(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__absorb0,axiom, % 199.88/200.96 ! [V_zs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Groups_Omonoid__add(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__Cons,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__append,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__foldl,axiom, % 199.88/200.96 ! [T_b] : % 199.88/200.96 ( class_Groups_Omonoid__add(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sum__eq__0__conv,axiom, % 199.88/200.96 ! [V_ns_2,V_m_2] : % 199.88/200.96 ( 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) % 199.88/200.96 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.96 & ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 199.88/200.96 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 199.88/200.96 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Sup__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Inf__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Sup__fin__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Lattices_Olattice(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Inf__fin__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Lattices_Olattice(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Min__fin__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Max__fin__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_min__max_OInf__fin__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_min__max_OSup__fin__set__fold,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_SUPR__set__fold,axiom, % 199.88/200.96 ! [V_f_2,V_xs_2,T_c,T_b] : % 199.88/200.96 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_INFI__set__fold,axiom, % 199.88/200.96 ! [V_f_2,V_xs_2,T_c,T_b] : % 199.88/200.96 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_elem__le__sum,axiom, % 199.88/200.96 ! [V_ns_2,V_na_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__list__of__set__insert,axiom, % 199.88/200.96 ! [V_x_2,V_A_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.96 => 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)))))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_lexord__Nil__left,axiom, % 199.88/200.96 ! [V_r_2,V_y_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.96 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__key_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( ( 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))) % 199.88/200.96 => 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)) ) % 199.88/200.96 & ( ~ 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))) % 199.88/200.96 => 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)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__key_Osimps_I1_J,axiom, % 199.88/200.96 ! [V_x_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__insort,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__insort,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_fun__left__comm__insort,axiom, % 199.88/200.96 ! [T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__left__comm,axiom, % 199.88/200.96 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__key__left__comm,axiom, % 199.88/200.96 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remove1__insort,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__not__Nil,axiom, % 199.88/200.96 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__insort,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => ( 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))) % 199.88/200.96 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__insert__insort__key,axiom, % 199.88/200.96 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( ~ 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)))) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__insert__insort,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__insort__insert,axiom, % 199.88/200.96 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => 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))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__insert__triv,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__insort__insert,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__insert__key__triv,axiom, % 199.88/200.96 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( 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)))) % 199.88/200.96 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__list__update,axiom, % 199.88/200.96 ! [V_x,V_k,T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => ( ( 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)) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 199.88/200.96 & ( 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)) % 199.88/200.96 => 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) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__conv__nth,axiom, % 199.88/200.96 ! [T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last_Osimps,axiom, % 199.88/200.96 ! [V_x,T_a,V_xs] : % 199.88/200.96 ( ( V_xs = c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 199.88/200.96 & ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__ConsR,axiom, % 199.88/200.96 ! [V_x,T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__ConsL,axiom, % 199.88/200.96 ! [V_x,T_a,V_xs] : % 199.88/200.96 ( V_xs = c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__append,axiom, % 199.88/200.96 ! [V_xs,T_a,V_ys] : % 199.88/200.96 ( ( V_ys = c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 199.88/200.96 & ( V_ys != c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__appendR,axiom, % 199.88/200.96 ! [V_xs,T_a,V_ys] : % 199.88/200.96 ( V_ys != c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__appendL,axiom, % 199.88/200.96 ! [V_xs,T_a,V_ys] : % 199.88/200.96 ( V_ys = c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__in__set,axiom, % 199.88/200.96 ! [T_b,V_as_2] : % 199.88/200.96 ( V_as_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__snoc,axiom, % 199.88/200.96 ! [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 ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__drop,axiom, % 199.88/200.96 ! [V_xs,T_a,V_n] : % 199.88/200.96 ( 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))) % 199.88/200.96 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_append__butlast__last__id,axiom, % 199.88/200.96 ! [T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => 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 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_snoc__eq__iff__butlast,axiom, % 199.88/200.96 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 199.88/200.96 ( 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 % 199.88/200.96 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 199.88/200.96 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_lists_Osimps,axiom, % 199.88/200.96 ! [V_A_2,V_a_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 199.88/200.96 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 199.88/200.96 | ? [B_a,B_l] : % 199.88/200.96 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 199.88/200.96 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.88/200.96 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_select__weigth__select,axiom, % 199.88/200.96 ! [T_b,V_xs_2] : % 199.88/200.96 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_inj__mapI,axiom, % 199.88/200.96 ! [V_f_2,T_c,T_b] : % 199.88/200.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__map,axiom, % 199.88/200.96 ! [V_f_2,T_c,T_b,V_xs_2] : % 199.88/200.96 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__map,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(c_List_Orotate(T_b,V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_na_2),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__tl,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__map__map,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__map1,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__zip__map,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__zip__map2,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__map2,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__same__conv__map,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__is__Nil__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.96 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map_Osimps_I1_J,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Nil__is__map__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 199.88/200.96 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__update,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__eq__conv,axiom, % 199.88/200.96 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( 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) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 199.88/200.96 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__eq__imp__length__eq,axiom, % 199.88/200.96 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( 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) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__map,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__addf,axiom, % 199.88/200.96 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__subtractf,axiom, % 199.88/200.96 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Groups_Oab__group__add(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__0,axiom, % 199.88/200.96 ! [V_xs_2,T_c,T_b] : % 199.88/200.96 ( class_Groups_Omonoid__add(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__const__mult,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 199.88/200.96 ( class_Rings_Osemiring__0(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__mult__const,axiom, % 199.88/200.96 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Rings_Osemiring__0(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_inj__map__eq__map,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.96 => ( 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) % 199.88/200.96 <=> V_xs_2 = V_ys_2 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__injective,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( 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) % 199.88/200.96 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.88/200.96 => V_xs_2 = V_ys_2 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__ident,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 199.88/200.96 % 199.88/200.96 fof(fact_take__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__butlast,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__map,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map_Osimps_I2_J,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__append,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__map,axiom, % 199.88/200.96 ! [V_f_2,T_c,T_b,V_xs_2] : % 199.88/200.96 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_drop__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_List_Omap_Oidentity,axiom, % 199.88/200.96 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_List_Omap_Ocomp,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__comp__map,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_List_Omap_Ocompositionality,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__map,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__size__map,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_List_Omap_Oid,axiom, % 199.88/200.96 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_inj__on__map__eq__map,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ( 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) % 199.88/200.96 <=> V_xs_2 = V_ys_2 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__inj__on,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( 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) % 199.88/200.96 => ( 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))) % 199.88/200.96 => V_xs_2 = V_ys_2 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nth__map,axiom, % 199.88/200.96 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_na_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__fun__upd,axiom, % 199.88/200.96 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 199.88/200.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 199.88/200.96 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 199.88/200.96 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__abs,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.88/200.96 => 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)))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_uminus__listsum__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Groups_Oab__group__add(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_inj__on__mapI,axiom, % 199.88/200.96 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_inj__mapD,axiom, % 199.88/200.96 ! [V_f_2,T_c,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_inj__map,axiom, % 199.88/200.96 ! [V_f_2,T_c,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 199.88/200.96 ! [V_f_2,V_xs_2,T_b,T_c] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_c) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__triv,axiom, % 199.88/200.96 ! [V_xs_2,V_r_2,T_c,T_b] : % 199.88/200.96 ( class_Rings_Osemiring__1(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__map__remove1,axiom, % 199.88/200.96 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_c) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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)))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Nitpick_Osetsum_H__def,axiom, % 199.88/200.96 ! [V_f_2,V_A_2,T_b,T_c] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_c) % 199.88/200.96 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.96 => 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))))) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.96 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_pick__same,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_l_2] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zero__code__numeral__def,axiom, % 199.88/200.96 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : % 199.88/200.96 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 199.88/200.96 <=> V_na_2 = V_m_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 199.88/200.96 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.96 % 199.88/200.96 fof(fact_times__code__numeral__code,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_one__code__numeral__def,axiom, % 199.88/200.96 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_less__code__numeral__code,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 199.88/200.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_code__numeral_Oof__nat__inject,axiom, % 199.88/200.96 ! [V_y_2,V_x_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.88/200.96 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 199.88/200.96 <=> V_x_2 = V_y_2 ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__fst__zip,axiom, % 199.88/200.96 ! [V_ys_2,T_c,V_xs_2,T_b] : % 199.88/200.96 ( 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) % 199.88/200.96 => 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 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__snd__zip,axiom, % 199.88/200.96 ! [V_ys_2,T_c,V_xs_2,T_b] : % 199.88/200.96 ( 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) % 199.88/200.96 => 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 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_number__of__code__numeral__def,axiom, % 199.88/200.96 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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__map__fst__snd,axiom, % 199.88/200.96 ! [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 ). % 199.88/200.96 % 199.88/200.96 fof(fact_plus__code__numeral__code,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_less__eq__code__numeral__code,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 199.88/200.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_pick__member,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_i_2] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => 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)))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__eq__conv,axiom, % 199.88/200.96 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 199.88/200.96 ( 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) % 199.88/200.96 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 199.88/200.96 <=> ( 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 % 199.88/200.96 & 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 ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__size__conv__listsum,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_code__numeral__not__eq__zero,axiom, % 199.88/200.96 ! [V_i_2] : % 199.88/200.96 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.88/200.96 <=> 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 199.88/200.96 ! [V_j_2,V_i_2,V_f_2,T_b] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 199.88/200.96 ! [V_l_2,V_k_2,V_f_2,T_b] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_select__weight__member,axiom, % 199.88/200.96 ! [V_s_2,V_xs_2,T_b] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => 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)))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_select__weight__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_select__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_subtract__code__numeral__code,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nat__of__inverse,axiom, % 199.88/200.96 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 199.88/200.96 % 199.88/200.96 fof(fact_of__nat__nat__of,axiom, % 199.88/200.96 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 199.88/200.96 % 199.88/200.96 fof(fact_nat__of__of__nat,axiom, % 199.88/200.96 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 199.88/200.96 % 199.88/200.96 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 199.88/200.96 ! [V_l_2,V_k_2] : % 199.88/200.96 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 199.88/200.96 <=> V_k_2 = V_l_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_code__numeral_Onat__of__inject,axiom, % 199.88/200.96 ! [V_y_2,V_x_2] : % 199.88/200.96 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 199.88/200.96 <=> V_x_2 = V_y_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_times__code__numeral__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_type__definition__code__numeral,axiom, % 199.88/200.96 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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_less__code__numeral__def,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 199.88/200.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nat__of,axiom, % 199.88/200.96 ! [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)))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nat__of__number,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_int__of__def,axiom, % 199.88/200.96 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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_less__eq__code__numeral__def,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 199.88/200.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nat__of__code,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nat__of__aux__def,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Suc__code__numeral__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_minus__code__numeral__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_of__nat__inverse,axiom, % 199.88/200.96 ! [V_y_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.88/200.96 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_plus__code__numeral__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_div__code__numeral__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_subtract__code__numeral__def,axiom, % 199.88/200.96 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.96 % 199.88/200.96 fof(fact_minus__code__numeral__code,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_mod__code__numeral__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_code__numeral__decr,axiom, % 199.88/200.96 ! [V_k] : % 199.88/200.96 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__mono,axiom, % 199.88/200.96 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 199.88/200.96 ( ( class_Groups_Omonoid__add(T_c) % 199.88/200.96 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 199.88/200.96 => ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.88/200.96 => 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)))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_partition__set,axiom, % 199.88/200.96 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_lists__Int__eq,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp_ONil,axiom, % 199.88/200.96 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp_Oequations_I1_J,axiom, % 199.88/200.96 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_in__listsp__conv__set,axiom, % 199.88/200.96 ! [V_xs_2,V_A_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp__conj__eq,axiom, % 199.88/200.96 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.88/200.96 ( 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)) % 199.88/200.96 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 199.88/200.96 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp__infI,axiom, % 199.88/200.96 ! [V_B_2,V_l_2,V_A_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp__inf__eq,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp_Oequations_I2_J,axiom, % 199.88/200.96 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 199.88/200.96 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 199.88/200.96 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_append__in__listsp__conv,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 199.88/200.96 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 199.88/200.96 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp__mono,axiom, % 199.88/200.96 ! [V_B_2,V_A_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_partition__P,axiom, % 199.88/200.96 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 199.88/200.96 => ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 & ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_partition_Osimps_I1_J,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsp__lists__eq,axiom, % 199.88/200.96 ! [V_x_2,V_A_2,T_b] : % 199.88/200.96 ( 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)) % 199.88/200.96 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_partition_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_lists__IntI,axiom, % 199.88/200.96 ! [V_B_2,V_A_2,V_l_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_product_Osimps_I2_J,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__def,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 <=> ( 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) % 199.88/200.96 & ! [B_x] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__map1,axiom, % 199.88/200.96 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 199.88/200.96 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__map2,axiom, % 199.88/200.96 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 199.88/200.96 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__dropI,axiom, % 199.88/200.96 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 199.88/200.96 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_bs_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__appendI,axiom, % 199.88/200.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) % 199.88/200.96 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2) % 199.88/200.96 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__append,axiom, % 199.88/200.96 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 199.88/200.96 ( 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) % 199.88/200.96 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 199.88/200.96 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__Cons,axiom, % 199.88/200.96 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 199.88/200.96 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.88/200.96 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__takeI,axiom, % 199.88/200.96 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_ys_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__eq,axiom, % 199.88/200.96 ! [T_b,V_ys_2,V_xs_2] : % 199.88/200.96 ( V_xs_2 = V_ys_2 % 199.88/200.96 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__lengthD,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__Nil,axiom, % 199.88/200.96 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 199.88/200.96 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__Nil2,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 199.88/200.96 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_product_Osimps_I1_J,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__nthD2,axiom, % 199.88/200.96 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 => ( 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))) % 199.88/200.96 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__nthD,axiom, % 199.88/200.96 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 => ( 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))) % 199.88/200.96 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__conv__all__nth,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 <=> ( 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) % 199.88/200.96 & ! [B_i] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__update__cong2,axiom, % 199.88/200.96 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.88/200.96 => ( 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))) % 199.88/200.96 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__update__cong,axiom, % 199.88/200.96 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.88/200.96 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__product,axiom, % 199.88/200.96 ! [V_ys,T_b,V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_product__list__set,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sublists__powset,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__sublists,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sublists_Osimps_I1_J,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sublists_Osimps_I2_J,axiom, % 199.88/200.96 ! [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))))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__set__sublists,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => 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)))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__n__lists,axiom, % 199.88/200.96 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_enum__the__def,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__n__lists,axiom, % 199.88/200.96 ! [V_n,V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_n__lists__Nil,axiom, % 199.88/200.96 ! [T_a,V_n] : % 199.88/200.96 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.96 => 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))) ) % 199.88/200.96 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.96 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_n__lists_Osimps_I1_J,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__n__lists,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__n__lists__elem,axiom, % 199.88/200.96 ! [V_xs_2,V_na_2,V_ys_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_2,V_xs_2)))) % 199.88/200.96 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2I,axiom, % 199.88/200.96 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] : % 199.88/200.96 ( ! [B_x] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 199.88/200.96 => ( 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) % 199.88/200.96 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_all__nth__imp__all__set,axiom, % 199.88/200.96 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( ! [B_i] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 199.88/200.96 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__removeAll__inj__on,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__remdups,axiom, % 199.88/200.96 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__remdups__leq,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__remdups__id,axiom, % 199.88/200.96 ! [V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__removeAll,axiom, % 199.88/200.96 ! [V_x,V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups__id__iff__distinct,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 199.88/200.96 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__remdups,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__remdups__eq,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( 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) % 199.88/200.96 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups__remdups,axiom, % 199.88/200.96 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups__eq__nil__iff,axiom, % 199.88/200.96 ! [V_x_2,T_b] : % 199.88/200.96 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 199.88/200.96 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_removeAll_Osimps_I1_J,axiom, % 199.88/200.96 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups__eq__nil__right__iff,axiom, % 199.88/200.96 ! [V_x_2,T_b] : % 199.88/200.96 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 199.88/200.96 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups_Osimps_I1_J,axiom, % 199.88/200.96 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.88/200.96 % 199.88/200.96 fof(fact_removeAll_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_xs,T_a,V_y,V_x] : % 199.88/200.96 ( ( V_x = V_y % 199.88/200.96 => 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) ) % 199.88/200.96 & ( V_x != V_y % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_removeAll__append,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups__map__remdups,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remove1__remdups,axiom, % 199.88/200.96 ! [V_x,V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_removeAll__id,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__remove1__removeAll,axiom, % 199.88/200.96 ! [V_x,V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__remdups__card__conv,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__removeAll__inj,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__removeAll,axiom, % 199.88/200.96 ! [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)))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__remdups__concat,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat__conv__foldl,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sort__key__simps_I1_J,axiom, % 199.88/200.96 ! [V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__conv__concat,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__sort,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__sort,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__sort,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 199.88/200.96 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat_Osimps_I1_J,axiom, % 199.88/200.96 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat_Osimps_I2_J,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat__eq__Nil__conv,axiom, % 199.88/200.96 ! [V_xss_2,T_b] : % 199.88/200.96 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 199.88/200.96 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Nil__eq__concat__conv,axiom, % 199.88/200.96 ! [V_xss_2,T_b] : % 199.88/200.96 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 199.88/200.96 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__concat,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__concat,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__concat,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sort__key__simps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat__append,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sort__foldl__insort,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat__eq__concat__iff,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.96 ( ! [B_x] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => 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)) ) % 199.88/200.96 => ( 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) % 199.88/200.96 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 199.88/200.96 <=> V_xs_2 = V_ys_2 ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat__injective,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.96 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 199.88/200.96 => ( 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) % 199.88/200.96 => ( ! [B_x] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => 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)) ) % 199.88/200.96 => V_xs_2 = V_ys_2 ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat__map__singleton,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_n__lists_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,V_na_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_na_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_na_2,V_xs_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose_Osimps_I3_J,axiom, % 199.88/200.96 ! [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))))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__aux__filter__head,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__concat,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__sort,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__filter,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sum__length__filter__compl,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__is__subset,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__id__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__filter__le,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_partition__filter__conv,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_partition__filter2,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_partition__filter1,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__filter,axiom, % 199.88/200.96 ! [V_xs_2,V_Q_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2)),V_xs_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__remove1,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remove1__filter__not,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.88/200.96 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__insort__triv,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter_Osimps_I1_J,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose_Osimps_I1_J,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.88/200.96 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__append,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__empty__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__filter__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_remdups__filter,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_removeAll__filter__not,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.88/200.96 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_removeAll__filter__not__eq,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose_Osimps_I2_J,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nth__transpose,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_i_2] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__map__map,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__filter,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__filter__less,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__minus__filter__out,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__in__sublist,axiom, % 199.88/200.96 ! [V_s_2,V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__empty,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__filter__conv__card,axiom, % 199.88/200.96 ! [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))))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__aux__filter__tail,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose_Opsimps_I3_J,axiom, % 199.88/200.96 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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))))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose_Opsimps_I2_J,axiom, % 199.88/200.96 ! [V_xss_2,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sublist__shift__lemma__Suc,axiom, % 199.88/200.96 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_select__weigth__drop__zero,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_pick__drop__zero,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose_Opsimps_I1_J,axiom, % 199.88/200.96 ! [T_b] : % 199.88/200.96 ( 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)))) % 199.88/200.96 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__max__length,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__aux__max,axiom, % 199.88/200.96 ! [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)))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldr_Osimps_I1_J,axiom, % 199.88/200.96 ! [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 ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldr_Osimps_I2_J,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldr__append,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldr__conv__foldl,axiom, % 199.88/200.96 ! [V_a_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Groups_Oab__semigroup__add(T_b) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldr__map,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__foldr1,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Groups_Omonoid__add(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__foldr1__lemma,axiom, % 199.88/200.96 ! [V_xs_2,V_a_2,T_b] : % 199.88/200.96 ( class_Groups_Omonoid__add(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__transpose,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sublist__def,axiom, % 199.88/200.96 ! [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))))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sublist__shift__lemma,axiom, % 199.88/200.96 ! [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))))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__upt,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_atLeastLessThan__upt,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__Suc,axiom, % 199.88/200.96 ! [V_j,V_i] : % 199.88/200.96 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => 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))) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__Suc__append,axiom, % 199.88/200.96 ! [V_j,V_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__add__eq__append,axiom, % 199.88/200.96 ! [V_k,V_j,V_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__rec,axiom, % 199.88/200.96 ! [V_j,V_i] : % 199.88/200.96 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => 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)) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__conv__Cons,axiom, % 199.88/200.96 ! [V_j,V_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__conv__Nil,axiom, % 199.88/200.96 ! [V_i,V_j] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 199.88/200.96 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__eq__Nil__conv,axiom, % 199.88/200.96 ! [V_j_2,V_i_2] : % 199.88/200.96 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 199.88/200.96 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.96 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__0,axiom, % 199.88/200.96 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 199.88/200.96 % 199.88/200.96 fof(fact_take__upt,axiom, % 199.88/200.96 ! [V_n,V_m,V_i] : % 199.88/200.96 ( 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)) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__list__of__set__range,axiom, % 199.88/200.96 ! [V_na_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = c_List_Oupt(V_m_2,V_na_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__upt,axiom, % 199.88/200.96 ! [V_j,V_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_drop__upt,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__upt,axiom, % 199.88/200.96 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__upt,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__rec__number__of,axiom, % 199.88/200.96 ! [V_n,V_m] : % 199.88/200.96 ( ( 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))) % 199.88/200.96 => 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))) ) % 199.88/200.96 & ( ~ 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))) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_upt__eq__Cons__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 199.88/200.96 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 199.88/200.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 199.88/200.96 & V_i_2 = V_x_2 % 199.88/200.96 & 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 ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__upt,axiom, % 199.88/200.96 ! [V_j,V_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__Suc__upt,axiom, % 199.88/200.96 ! [V_na_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_na_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_atLeastAtMost__upt,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_na_2,hAPP(c_Nat_OSuc,V_m_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_atLeast__upt,axiom, % 199.88/200.96 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nth__upt,axiom, % 199.88/200.96 ! [V_j,V_k,V_i] : % 199.88/200.96 ( 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)) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_greaterThanAtMost__upt,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_greaterThanLessThan__upt,axiom, % 199.88/200.96 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),V_m_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_atMost__upto,axiom, % 199.88/200.96 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__nth,axiom, % 199.88/200.96 ! [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 ). % 199.88/200.96 % 199.88/200.96 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 199.88/200.96 ! [V_na_2,V_m_2,V_f_2,T_b] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_b) % 199.88/200.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 199.88/200.96 ! [V_na_2,V_m_2,V_f_2,T_b] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_b) % 199.88/200.96 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nth__map__upt,axiom, % 199.88/200.96 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2))) % 199.88/200.96 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__rectangle,axiom, % 199.88/200.96 ! [V_na_2,T_b,V_xs_2] : % 199.88/200.96 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.88/200.96 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.88/200.96 => ( ! [B_i] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_na_2 ) % 199.88/200.96 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__key__remove1,axiom, % 199.88/200.96 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 199.88/200.96 => ( 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 % 199.88/200.96 => 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 ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted_ONil,axiom, % 199.88/200.96 ! [T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__single,axiom, % 199.88/200.96 ! [V_x,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__upt,axiom, % 199.88/200.96 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__sort,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__insort__insert,axiom, % 199.88/200.96 ! [V_x_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__drop,axiom, % 199.88/200.96 ! [V_n,V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__upto,axiom, % 199.88/200.96 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__take,axiom, % 199.88/200.96 ! [V_n,V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__remove1,axiom, % 199.88/200.96 ! [V_a,V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__tl,axiom, % 199.88/200.96 ! [V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__insort,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( 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)) % 199.88/200.96 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__butlast,axiom, % 199.88/200.96 ! [V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted_Oequations_I1_J,axiom, % 199.88/200.96 ! [T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__many,axiom, % 199.88/200.96 ! [V_zs,V_y,V_x,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 199.88/200.96 => 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))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__many__eq,axiom, % 199.88/200.96 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( 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))) % 199.88/200.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.88/200.96 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__remdups,axiom, % 199.88/200.96 ! [V_l,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__distinct__set__unique,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 199.88/200.96 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 199.88/200.96 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__sort__key,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__insort__insert__key,axiom, % 199.88/200.96 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.88/200.96 => 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))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__map__remove1,axiom, % 199.88/200.96 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.88/200.96 => 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))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__insort__key,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( 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))) % 199.88/200.96 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__filter,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__map__same,axiom, % 199.88/200.96 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__same,axiom, % 199.88/200.96 ! [V_xs_2,V_g_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__Cons,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.88/200.96 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 & ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__append,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 199.88/200.96 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 199.88/200.96 & ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ! [B_xa] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__insort,axiom, % 199.88/200.96 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.88/200.96 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted_Oequations_I2_J,axiom, % 199.88/200.96 ! [V_a1_2,V_a2_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 199.88/200.96 <=> ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 199.88/200.96 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__list__of__set,axiom, % 199.88/200.96 ! [V_A_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.96 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 199.88/200.96 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 199.88/200.96 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__remove1,axiom, % 199.88/200.96 ! [V_xs_2,V_a_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 => 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 ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__equals__nth__mono,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 <=> ! [B_j] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ! [B_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 199.88/200.96 => 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))) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__nth__mono,axiom, % 199.88/200.96 ! [V_j,V_i,V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => ( 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))) % 199.88/200.96 => 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))) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_map__sorted__distinct__set__unique,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => ( 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))) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 199.88/200.96 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 199.88/200.96 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__column,axiom, % 199.88/200.96 ! [V_i_2,V_xs_2,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ( 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))) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nth__nth__transpose__sorted,axiom, % 199.88/200.96 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ( 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)))) % 199.88/200.96 => ( 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)))) % 199.88/200.96 => 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) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_inj__on__rev,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__rev,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 199.88/200.96 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__is__Nil__conv,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.96 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Nil__is__rev__conv,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 199.88/200.96 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev_Osimps_I1_J,axiom, % 199.88/200.96 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.88/200.96 % 199.88/200.96 fof(fact_singleton__rev__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( 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) % 199.88/200.96 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__singleton__conv,axiom, % 199.88/200.96 ! [V_x_2,V_xs_2,T_b] : % 199.88/200.96 ( 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)) % 199.88/200.96 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__append,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__concat,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__map,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__filter,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__rev,axiom, % 199.88/200.96 ! [V_ys,T_b,V_xs,T_a] : % 199.88/200.96 ( 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) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__rev,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__rev,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 199.88/200.96 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__rev1,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.88/200.96 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 199.88/200.96 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__rev__ident,axiom, % 199.88/200.96 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__swap,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 199.88/200.96 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__is__rev__conv,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 199.88/200.96 <=> V_xs_2 = V_ys_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__rev,axiom, % 199.88/200.96 ! [V_xs,T_a] : % 199.88/200.96 ( class_Groups_Ocomm__monoid__add(T_a) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__rev,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__foldr,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldr__foldl,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__eq__Cons__iff,axiom, % 199.88/200.96 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 199.88/200.96 <=> 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev_Osimps_I2_J,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__rev,axiom, % 199.88/200.96 ! [T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_last__rev,axiom, % 199.88/200.96 ! [T_a,V_xs] : % 199.88/200.96 ( V_xs != c_List_Olist_ONil(T_a) % 199.88/200.96 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__transpose,axiom, % 199.88/200.96 ! [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)))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__foldl__cons,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__take,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__drop,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rotate__rev,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__nth,axiom, % 199.88/200.96 ! [V_xs,T_a,V_n] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_rev__update,axiom, % 199.88/200.96 ! [V_y,V_xs,T_a,V_k] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__rev__nth__mono,axiom, % 199.88/200.96 ! [V_j,V_i,V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.88/200.96 => ( 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))) % 199.88/200.96 => 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))) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldr__max__sorted,axiom, % 199.88/200.96 ! [V_y_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 199.88/200.96 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 199.88/200.96 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 199.88/200.96 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => 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) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__transpose__sorted,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.88/200.96 => 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) ) % 199.88/200.96 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.88/200.96 => 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))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__column__length,axiom, % 199.88/200.96 ! [V_i_2,V_xs_2,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ( 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))) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transpose__transpose,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( 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))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 199.88/200.96 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__takeWhile,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__takeWhile__le,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__eq__all__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_set__takeWhileD,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__takeWhile__snd,axiom, % 199.88/200.96 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__takeWhile__fst,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__tail,axiom, % 199.88/200.96 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.88/200.96 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.88/200.96 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile_Osimps_I1_J,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__eq__take,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__takeWhile,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_return__list__def,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__append1,axiom, % 199.88/200.96 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_nth__length__takeWhile,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__nth,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 199.88/200.96 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__not__last,axiom, % 199.88/200.96 ! [T_b,V_xs_2] : % 199.88/200.96 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.88/200.96 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 199.88/200.96 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( 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))) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transfer__nat__int__list__return__embed,axiom, % 199.88/200.96 ! [V_l] : % 199.88/200.96 ( c_List_Onat__list(V_l) % 199.88/200.96 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 199.88/200.96 ! [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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_embed__list__def,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__neq__rev,axiom, % 199.88/200.96 ! [V_x_2,V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__neq__rev,axiom, % 199.88/200.96 ! [V_x_2,V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__dropWhile__id,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__dropWhile,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__dropWhile__le,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__eq__Nil__conv,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile_Osimps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.88/200.96 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile_Osimps_I1_J,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__dropWhile,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_hd__dropWhile,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__map,axiom, % 199.88/200.96 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__append1,axiom, % 199.88/200.96 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__eq__Cons__conv,axiom, % 199.88/200.96 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 199.88/200.96 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 199.88/200.96 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__eq__drop,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__nth,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 199.88/200.96 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_listsum__map__filter,axiom, % 199.88/200.96 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 199.88/200.96 ( class_Groups_Omonoid__add(T_c) % 199.88/200.96 => ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 199.88/200.96 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 199.88/200.96 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted__nth__monoI,axiom, % 199.88/200.96 ! [V_xs,T_a] : % 199.88/200.96 ( class_Orderings_Olinorder(T_a) % 199.88/200.96 => ( ! [B_i,B_j] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 199.88/200.96 => ( 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))) % 199.88/200.96 => 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))) ) ) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__eq__filter,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__eq__take__P__nth,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b,V_na_2] : % 199.88/200.96 ( ! [B_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 199.88/200.96 => ( 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))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 199.88/200.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) % 199.88/200.96 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_length__takeWhile__less__P__nth,axiom, % 199.88/200.96 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 199.88/200.96 ( ! [B_i] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 199.88/200.96 => ( 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))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted_Osimps,axiom, % 199.88/200.96 ! [V_a_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 199.88/200.96 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 199.88/200.96 | ? [B_xs,B_x] : % 199.88/200.96 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 199.88/200.96 & ! [B_xa] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 199.88/200.96 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_not__in__set__insert,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_List_Oinsert__def,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 199.88/200.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insert__remdups,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__insert,axiom, % 199.88/200.96 ! [V_x,V_xs,T_a] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_in__set__insert,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_List_Oset__insert,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insert__Nil,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_maps__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_concat__map__maps,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_maps__simps_I2_J,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_maps__simps_I1_J,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_distinct__concat,axiom, % 199.88/200.96 ! [V_xs_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 199.88/200.96 => ( ! [B_ys] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 199.88/200.96 => ( ! [B_ys] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => ! [B_zs] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => ( B_ys != B_zs % 199.88/200.96 => 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)) ) ) ) % 199.88/200.96 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_measures__lesseq,axiom, % 199.88/200.96 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.88/200.96 ( 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))) % 199.88/200.96 => ( hBOOL(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))) % 199.88/200.96 => hBOOL(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)))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_wf__measures,axiom, % 199.88/200.96 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_in__measures_I1_J,axiom, % 199.88/200.96 ! [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))))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_measures__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_in__measures_I2_J,axiom, % 199.88/200.96 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(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)))) % 199.88/200.96 <=> ( 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))) % 199.88/200.96 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.88/200.96 & hBOOL(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))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_measures__less,axiom, % 199.88/200.96 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hBOOL(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)))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_foldl__apply,axiom, % 199.88/200.96 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 199.88/200.96 ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => 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)) ) % 199.88/200.96 => 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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_order__fun_I2_J,axiom, % 199.88/200.96 ! [V_g_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( ( class_Orderings_Oorder(T_c) % 199.88/200.96 & class_Enum_Oenum(T_b) ) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.88/200.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.88/200.96 & 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)))) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_enum__ex__prod__def,axiom, % 199.88/200.96 ! [V_Pa_2,T_b,T_c] : % 199.88/200.96 ( ( class_Enum_Oenum(T_c) % 199.88/200.96 & class_Enum_Oenum(T_b) ) % 199.88/200.96 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 199.88/200.96 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_enum__ex,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : % 199.88/200.96 ( class_Enum_Oenum(T_b) % 199.88/200.96 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 199.88/200.96 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_exists__code,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : % 199.88/200.96 ( class_Enum_Oenum(T_b) % 199.88/200.96 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.88/200.96 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_zip__obtain__same__length,axiom, % 199.88/200.96 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 199.88/200.96 ( ( 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)) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) ) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_pos__not__random__dseq__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_dropWhile__append2,axiom, % 199.88/200.96 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all2__all__nthI,axiom, % 199.88/200.96 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] : % 199.88/200.96 ( 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) % 199.88/200.96 => ( ! [B_n] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) ) % 199.88/200.96 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_finite__sorted__distinct__unique,axiom, % 199.88/200.96 ! [V_A_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.96 => ? [B_x] : % 199.88/200.96 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 199.88/200.96 & c_List_Olinorder__class_Osorted(T_b,B_x) % 199.88/200.96 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 199.88/200.96 & ! [B_y] : % 199.88/200.96 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 199.88/200.96 & c_List_Olinorder__class_Osorted(T_b,B_y) % 199.88/200.96 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 199.88/200.96 => B_y = B_x ) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_takeWhile__append2,axiom, % 199.88/200.96 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_insort__is__Cons,axiom, % 199.88/200.96 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 199.88/200.96 ( class_Orderings_Olinorder(T_c) % 199.88/200.96 => ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 199.88/200.96 => 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) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Cons__eq__filter__iff,axiom, % 199.88/200.96 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) % 199.88/200.96 <=> ? [B_us,B_vs] : % 199.88/200.96 ( 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)) % 199.88/200.96 & ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_filter__eq__Cons__iff,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 199.88/200.96 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 199.88/200.96 <=> ? [B_us,B_vs] : % 199.88/200.96 ( 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)) % 199.88/200.96 & ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 199.88/200.96 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_order__fun_I1_J,axiom, % 199.88/200.96 ! [V_g_2,V_f_2,T_b,T_c] : % 199.88/200.96 ( ( class_Orderings_Oorder(T_c) % 199.88/200.96 & class_Enum_Oenum(T_b) ) % 199.88/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.88/200.96 <=> 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))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_all__code,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : % 199.88/200.96 ( class_Enum_Oenum(T_b) % 199.88/200.96 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.88/200.96 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_enum__all,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : % 199.88/200.96 ( class_Enum_Oenum(T_b) % 199.88/200.96 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 199.88/200.96 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_enum__all__prod__def,axiom, % 199.88/200.96 ! [V_Pa_2,T_b,T_c] : % 199.88/200.96 ( ( class_Enum_Oenum(T_c) % 199.88/200.96 & class_Enum_Oenum(T_b) ) % 199.88/200.96 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 199.88/200.96 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ball__nth,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b,V_na_2] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.88/200.96 => ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_sorted_OCons,axiom, % 199.88/200.96 ! [V_x_2,V_xs_2,T_b] : % 199.88/200.96 ( class_Orderings_Olinorder(T_b) % 199.88/200.96 => ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 199.88/200.96 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.88/200.96 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex__length,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 <=> ? [B_n] : % 199.88/200.96 ( 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))) % 199.88/200.96 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_in__set__conv__decomp__first,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 <=> ? [B_ys] : % 199.88/200.96 ( ? [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)) % 199.88/200.96 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex__simps_I2_J,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex__append,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 199.88/200.96 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex__iff,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 <=> ? [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex__rev,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 199.88/200.96 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex__simps_I1_J,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.88/200.96 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_in__set__conv__decomp,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 <=> ? [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)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_in__set__conv__decomp__last,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 <=> ? [B_ys,B_zs] : % 199.88/200.96 ( 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)) % 199.88/200.96 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all__length,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 <=> ! [B_n] : % 199.88/200.96 ( 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))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_measure__function__int,axiom, % 199.88/200.96 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))) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all__simps_I2_J,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all__append,axiom, % 199.88/200.96 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 199.88/200.96 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_measure__size,axiom, % 199.88/200.96 ! [T_b] : % 199.88/200.96 ( class_Nat_Osize(T_b) % 199.88/200.96 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_is__measure_Osimps,axiom, % 199.88/200.96 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_is__measure_Oequations,axiom, % 199.88/200.96 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_is__measure_Ointros,axiom, % 199.88/200.96 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all__iff,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_measure__fst,axiom, % 199.88/200.96 ! [T_c,V_f_2,T_b] : % 199.88/200.96 ( c_FunDef_Ois__measure(T_b,V_f_2) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_measure__snd,axiom, % 199.88/200.96 ! [T_c,V_f_2,T_b] : % 199.88/200.96 ( c_FunDef_Ois__measure(T_b,V_f_2) % 199.88/200.96 => 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))) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all__rev,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 199.88/200.96 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all__simps_I1_J,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.88/200.96 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_Ball__set__list__all,axiom, % 199.88/200.96 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.96 ( ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.96 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__all__iff__raw,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 <=> ! [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex1__simps_I2_J,axiom, % 199.88/200.96 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.88/200.96 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 199.88/200.96 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.96 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_transfer__morphism__int__nat,axiom, % 199.88/200.96 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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex1__simps_I1_J,axiom, % 199.88/200.96 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_bool_Osize_I4_J,axiom, % 199.88/200.96 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.88/200.96 % 199.88/200.96 fof(fact_bool_Osize_I3_J,axiom, % 199.88/200.96 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.88/200.96 % 199.88/200.96 fof(fact_list__ex1__iff,axiom, % 199.88/200.96 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.96 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 199.88/200.96 <=> ? [B_x] : % 199.88/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 & hBOOL(hAPP(V_Pa_2,B_x)) % 199.88/200.96 & ! [B_y] : % 199.88/200.96 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.96 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 199.88/200.96 => B_y = B_x ) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 199.88/200.96 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 199.88/200.96 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.88/200.96 => 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) ) % 199.88/200.96 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 199.88/200.96 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 199.88/200.96 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.88/200.96 => 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) ) % 199.88/200.96 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.88/200.96 => 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)) ) ) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__DSequence_Opos__empty__def,axiom, % 199.88/200.96 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 199.88/200.96 % 199.88/200.96 fof(fact_pos__empty__def,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_neg__bind__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_New__DSequence_Opos__bind__def,axiom, % 199.88/200.96 ! [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)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_neg__map__def,axiom, % 199.88/200.96 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ). % 199.88/200.96 % 199.88/200.96 fof(fact_neg__single__def,axiom, % 199.88/200.96 ! [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) ). % 199.88/200.96 % 199.88/200.96 fof(fact_pos__bind__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_New__DSequence_Oneg__single__def,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_pos__map__def,axiom, % 199.88/200.97 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_pos__single__def,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_length__splice,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_splice_Osimps_I3_J,axiom, % 199.88/200.97 ! [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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_splice_Osimps_I1_J,axiom, % 199.88/200.97 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 199.88/200.97 % 199.88/200.97 fof(fact_splice__Nil2,axiom, % 199.88/200.97 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 199.88/200.97 % 199.88/200.97 fof(fact_splice_Osimps_I2_J,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_New__DSequence_Opos__single__def,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_acyclicP__converse,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( 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)))) % 199.88/200.97 <=> 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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_converse__meet,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_converse__pred__comp,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversepD,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversep_Ointros,axiom, % 199.88/200.97 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversep_Oequations,axiom, % 199.88/200.97 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversep__iff,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversep__conversep,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversep__eq,axiom, % 199.88/200.97 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversep__noteq,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,T_b] : % 199.88/200.97 ( 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)) % 199.88/200.97 <=> V_x_2 != V_y_2 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_converse__join,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_conversep__converse__eq,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 199.88/200.97 ( 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)) % 199.88/200.97 <=> 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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_,axiom, % 199.88/200.97 ! [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)))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_tl__replicate,axiom, % 199.88/200.97 ! [V_x,T_a,V_n] : % 199.88/200.97 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 => 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__length__filter,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_length__replicate,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_map__replicate__const,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__app__Cons__same,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__Suc,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_rev__replicate,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_drop__replicate,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_hd__replicate,axiom, % 199.88/200.97 ! [V_x,T_a,V_n] : % 199.88/200.97 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_last__replicate,axiom, % 199.88/200.97 ! [V_x,T_a,V_n] : % 199.88/200.97 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_take__replicate,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_zip__replicate,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Bex__set__replicate,axiom, % 199.88/200.97 ! [V_Pa_2,V_a_2,V_na_2,T_b] : % 199.88/200.97 ( ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2)))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.97 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.88/200.97 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Ball__set__replicate,axiom, % 199.88/200.97 ! [V_Pa_2,V_a_2,V_na_2,T_b] : % 199.88/200.97 ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2)))) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.97 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.88/200.97 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__eq__replicate,axiom, % 199.88/200.97 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] : % 199.88/200.97 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2) % 199.88/200.97 <=> ( V_m_2 = V_na_2 % 199.88/200.97 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 => V_x_2 = V_y_2 ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_nth__replicate,axiom, % 199.88/200.97 ! [V_x,T_a,V_n,V_i] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 199.88/200.97 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_append__replicate__commute,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__add,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_filter__replicate,axiom, % 199.88/200.97 ! [V_na_2,T_b,V_x_2,V_Pa_2] : % 199.88/200.97 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.97 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,V_x_2) ) % 199.88/200.97 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.88/200.97 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_concat__replicate__trivial,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__0,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_empty__replicate,axiom, % 199.88/200.97 ! [V_x_2,V_na_2,T_b] : % 199.88/200.97 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2) % 199.88/200.97 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__empty,axiom, % 199.88/200.97 ! [V_x_2,V_na_2,T_b] : % 199.88/200.97 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b) % 199.88/200.97 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_map__replicate,axiom, % 199.88/200.97 ! [V_x_2,V_na_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_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,hAPP(V_f_2,V_x_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_in__set__replicate,axiom, % 199.88/200.97 ! [V_y_2,V_na_2,V_x_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_y_2)))) % 199.88/200.97 <=> ( V_x_2 = V_y_2 % 199.88/200.97 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_replicate__append__same,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_map__replicate__trivial,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_set__replicate,axiom, % 199.88/200.97 ! [V_x_2,T_b,V_na_2] : % 199.88/200.97 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_set__replicate__conv__if,axiom, % 199.88/200.97 ! [V_x_2,T_b,V_na_2] : % 199.88/200.97 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 199.88/200.97 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_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))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_set__replicate__Suc,axiom, % 199.88/200.97 ! [V_x_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_na_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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_small__lazy__list_Osimps,axiom, % 199.88/200.97 ! [V_d_2,T_b] : % 199.88/200.97 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 199.88/200.97 => 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)))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_eq__comp__r,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_small__lazy__prod__def,axiom, % 199.88/200.97 ! [V_d,T_b,T_a] : % 199.88/200.97 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 199.88/200.97 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_New__DSequence_Opos__union__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_field__le__epsilon,axiom, % 199.88/200.97 ! [V_y,V_x,T_a] : % 199.88/200.97 ( class_Fields_Olinordered__field(T_a) % 199.88/200.97 => ( ! [B_e] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 199.88/200.97 => 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))) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_pos__union__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_small__lazy_H_Osimps,axiom, % 199.88/200.97 ! [V_i,V_d] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 199.88/200.97 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 199.88/200.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 199.88/200.97 => 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)))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_small__lazy__int__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_small__lazy_H_Opsimps,axiom, % 199.88/200.97 ! [V_i_2,V_d_2] : % 199.88/200.97 ( 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))) % 199.88/200.97 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 199.88/200.97 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 199.88/200.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 199.88/200.97 => 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)))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 199.88/200.97 ! [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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact__01,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Oinject,axiom, % 199.88/200.97 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 199.88/200.97 ( 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) % 199.88/200.97 <=> ( V_a_2 = V_a_H_2 % 199.88/200.97 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 199.88/200.97 ! [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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_small__lazy_H_Opinduct,axiom, % 199.88/200.97 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.88/200.97 ( 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))) % 199.88/200.97 => ( ! [B_d,B_i] : % 199.88/200.97 ( 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))) % 199.88/200.97 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_size__code,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence__size__code,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_seq__case,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_yieldn__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_refl__on__INTER,axiom, % 199.88/200.97 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 199.88/200.97 ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.88/200.97 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_List_Omember__def,axiom, % 199.88/200.97 ! [V_x_2,V_xs_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_member__rec_I1_J,axiom, % 199.88/200.97 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 199.88/200.97 ( 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)) % 199.88/200.97 <=> ( V_x_2 = V_y_2 % 199.88/200.97 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_member__set,axiom, % 199.88/200.97 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 199.88/200.97 % 199.88/200.97 fof(fact_member__rec_I2_J,axiom, % 199.88/200.97 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_in__set__member,axiom, % 199.88/200.97 ! [V_xs_2,V_x_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_list__ex1__iff__raw,axiom, % 199.88/200.97 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.97 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 199.88/200.97 <=> ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) % 199.88/200.97 & ! [B_y] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 199.88/200.97 => B_y = B_x ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_setsum__UNION__zero,axiom, % 199.88/200.97 ! [V_f_2,V_S_2,T_b,T_c] : % 199.88/200.97 ( class_Groups_Ocomm__monoid__add(T_c) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 199.88/200.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 199.88/200.97 => ( ! [B_T1] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 199.88/200.97 => ! [B_T2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 199.88/200.97 => ( B_T1 != B_T2 % 199.88/200.97 => ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 199.88/200.97 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 199.88/200.97 => 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) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_THE__default__def,axiom, % 199.88/200.97 ! [V_d_2,T_b,V_Pa_2] : % 199.88/200.97 ( ( ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.88/200.97 & ! [B_y] : % 199.88/200.97 ( hBOOL(hAPP(V_Pa_2,B_y)) % 199.88/200.97 => B_y = B_x ) ) % 199.88/200.97 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 199.88/200.97 & ( ~ ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.88/200.97 & ! [B_y] : % 199.88/200.97 ( hBOOL(hAPP(V_Pa_2,B_y)) % 199.88/200.97 => B_y = B_x ) ) % 199.88/200.97 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_SUP2__E,axiom, % 199.88/200.97 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.88/200.97 ( 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)) % 199.88/200.97 => ~ ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.97 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_INF2__I,axiom, % 199.88/200.97 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 199.88/200.97 ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_finite__maxlen,axiom, % 199.88/200.97 ! [V_M_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 199.88/200.97 => ? [B_n] : % 199.88/200.97 ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact__02,axiom, % 199.88/200.97 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 199.88/200.97 ! [V_j_2,V_i_2,V_Pa_2] : % 199.88/200.97 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 199.88/200.97 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_list__all__iff__all__interval__int,axiom, % 199.88/200.97 ! [V_j_2,V_i_2,V_Pa_2] : % 199.88/200.97 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 199.88/200.97 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_all__interval__int__def,axiom, % 199.88/200.97 ! [V_j_2,V_i_2,V_Pa_2] : % 199.88/200.97 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) % 199.88/200.97 <=> ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_code__numeral_Orecs_I2_J,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Random_Osimps,axiom, % 199.88/200.97 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 199.88/200.97 ( ( 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))) % 199.88/200.97 => 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)) ) % 199.88/200.97 & ( ~ 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))) % 199.88/200.97 => 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))))))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_code__numeral_Orecs_I1_J,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_Random__Sequence_Oempty__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Random__Sequence_Osingle__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Random__Sequence_Omap__def,axiom, % 199.88/200.97 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_exE__realizer,axiom, % 199.88/200.97 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 199.88/200.97 => ( ! [B_x,B_y] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 199.88/200.97 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 199.88/200.97 => 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))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Image__Collect__split,axiom, % 199.88/200.97 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lexord__trans,axiom, % 199.88/200.97 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 199.88/200.97 => ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__less__than,axiom, % 199.88/200.97 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__lex__prod,axiom, % 199.88/200.97 ! [V_R2_2,T_c,V_R1_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_R1_2) % 199.88/200.97 => ( c_Relation_Otrans(T_c,V_R2_2) % 199.88/200.97 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_transD,axiom, % 199.88/200.97 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => ( hBOOL(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)) % 199.88/200.97 => ( 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)) % 199.88/200.97 => hBOOL(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)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__def,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 <=> ! [B_x,B_y] : % 199.88/200.97 ( 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)) % 199.88/200.97 => ! [B_z] : % 199.88/200.97 ( 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)) % 199.88/200.97 => 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)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Union__eq,axiom, % 199.88/200.97 ! [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)))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__reflclI,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => 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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__inv__image,axiom, % 199.88/200.97 ! [V_f_2,T_c,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__O__subset,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_SUPR__bool__eq,axiom, % 199.88/200.97 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__Int,axiom, % 199.88/200.97 ! [V_s_2,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => ( c_Relation_Otrans(T_b,V_s_2) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bex__UNIV,axiom, % 199.88/200.97 ! [V_Pa_2,T_b] : % 199.88/200.97 ( ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.97 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_finite__Collect__bex,axiom, % 199.88/200.97 ! [V_Q_2,T_c,V_A_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.97 => ( 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))))) % 199.88/200.97 <=> ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.97 => 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)))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_listrel__trans,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bex__empty,axiom, % 199.88/200.97 ! [V_Pa_2,T_b] : % 199.88/200.97 ~ ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__converse,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.88/200.97 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lexord__transI,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__finite__psubset,axiom, % 199.88/200.97 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__Id__on,axiom, % 199.88/200.97 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__trancl,axiom, % 199.88/200.97 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trancl__id,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__Id,axiom, % 199.88/200.97 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__rtrancl,axiom, % 199.88/200.97 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_list__ex__iff__raw,axiom, % 199.88/200.97 ! [V_xs_2,V_Pa_2,T_b] : % 199.88/200.97 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.88/200.97 <=> ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Bex__set__list__ex,axiom, % 199.88/200.97 ! [V_Pa_2,V_xs_2,T_b] : % 199.88/200.97 ( ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.97 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_UN__eq,axiom, % 199.88/200.97 ! [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))))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_INT__eq,axiom, % 199.88/200.97 ! [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))))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Sup__fun__def,axiom, % 199.88/200.97 ! [V_x_2,V_A_2,T_c,T_b] : % 199.88/200.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.97 => 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)))))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Sup__apply,axiom, % 199.88/200.97 ! [V_x_2,V_A_2,T_c,T_b] : % 199.88/200.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.97 => 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)))))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Inf__fun__def,axiom, % 199.88/200.97 ! [V_x_2,V_A_2,T_c,T_b] : % 199.88/200.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.97 => 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)))))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Inf__apply,axiom, % 199.88/200.97 ! [V_x_2,V_A_2,T_c,T_b] : % 199.88/200.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.88/200.97 => 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)))))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_max__extp_Ointros,axiom, % 199.88/200.97 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 199.88/200.97 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 199.88/200.97 => ? [B_xa] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 199.88/200.97 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 199.88/200.97 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_transp__def,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Predicate_Otransp(T_b,V_r_2) % 199.88/200.97 <=> 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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_transpE,axiom, % 199.88/200.97 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 199.88/200.97 ( c_Predicate_Otransp(T_b,V_r_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equivp__reflp__symp__transp,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.88/200.97 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 199.88/200.97 & c_Predicate_Osymp(T_b,V_R_2) % 199.88/200.97 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equivpI,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Predicate_Oreflp(T_b,V_R_2) % 199.88/200.97 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.88/200.97 => ( c_Predicate_Otransp(T_b,V_R_2) % 199.88/200.97 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sympE,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,V_r_2,T_b] : % 199.88/200.97 ( c_Predicate_Osymp(T_b,V_r_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equivpE,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.88/200.97 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 199.88/200.97 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.88/200.97 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_max__extp_Osimps,axiom, % 199.88/200.97 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 199.88/200.97 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 199.88/200.97 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 199.88/200.97 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 199.88/200.97 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.88/200.97 & ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 199.88/200.97 => ? [B_xa] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 199.88/200.97 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_trans__diff__Id,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => ( c_Relation_Oantisym(T_b,V_r_2) % 199.88/200.97 => 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))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisym__Id__on,axiom, % 199.88/200.97 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisym__subset,axiom, % 199.88/200.97 ! [V_s_2,V_r_2,T_b] : % 199.88/200.97 ( 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)) % 199.88/200.97 => ( c_Relation_Oantisym(T_b,V_s_2) % 199.88/200.97 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisym__Id,axiom, % 199.88/200.97 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisym__converse,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.88/200.97 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisym__empty,axiom, % 199.88/200.97 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisymD,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Oantisym(T_b,V_r_2) % 199.88/200.97 => ( hBOOL(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)) % 199.88/200.97 => ( 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)) % 199.88/200.97 => V_a_2 = V_b_2 ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisym__def,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Oantisym(T_b,V_r_2) % 199.88/200.97 <=> ! [B_x,B_y] : % 199.88/200.97 ( 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)) % 199.88/200.97 => ( 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)) % 199.88/200.97 => B_x = B_y ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_antisym__reflcl,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.88/200.97 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_fun__lub__def,axiom, % 199.88/200.97 ! [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)))))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__trans__comp__subset,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_symD,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => ( hBOOL(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)) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__def,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 <=> ! [B_x,B_y] : % 199.88/200.97 ( 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)) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__inv__image,axiom, % 199.88/200.97 ! [V_f_2,T_c,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__Un__converse,axiom, % 199.88/200.97 ! [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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__Int,axiom, % 199.88/200.97 ! [V_s_2,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => ( c_Relation_Osym(T_b,V_s_2) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_listrel__sym,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__converse,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.88/200.97 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__conv__converse__eq,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__Id__on,axiom, % 199.88/200.97 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__trancl,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__Un,axiom, % 199.88/200.97 ! [V_s_2,V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => ( c_Relation_Osym(T_b,V_s_2) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__Id,axiom, % 199.88/200.97 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__rtrancl,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_sym__Int__converse,axiom, % 199.88/200.97 ! [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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equivE,axiom, % 199.88/200.97 ! [V_r_2,V_A_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.88/200.97 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.88/200.97 => ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equivI,axiom, % 199.88/200.97 ! [V_r_2,V_A_2,T_b] : % 199.88/200.97 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.88/200.97 => ( c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 => ( c_Relation_Otrans(T_b,V_r_2) % 199.88/200.97 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equiv__def,axiom, % 199.88/200.97 ! [V_r_2,V_A_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.88/200.97 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.88/200.97 & c_Relation_Osym(T_b,V_r_2) % 199.88/200.97 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_symp__def,axiom, % 199.88/200.97 ! [V_r_2,T_b] : % 199.88/200.97 ( c_Predicate_Osymp(T_b,V_r_2) % 199.88/200.97 <=> 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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_part__equivp__refl__symp__transp,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.88/200.97 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.88/200.97 & c_Predicate_Osymp(T_b,V_R_2) % 199.88/200.97 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_part__equivpI,axiom, % 199.88/200.97 ! [T_b,V_R_2] : % 199.88/200.97 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.88/200.97 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.88/200.97 => ( c_Predicate_Otransp(T_b,V_R_2) % 199.88/200.97 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equivp__implies__part__equivp,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.88/200.97 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_part__equivp__def,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.88/200.97 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.88/200.97 & ! [B_x,B_y] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 199.88/200.97 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.88/200.97 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 199.88/200.97 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_part__equivp__symp,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_part__equivp__transp,axiom, % 199.88/200.97 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_part__equivpE,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.88/200.97 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.88/200.97 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.88/200.97 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_part__equivp__typedef,axiom, % 199.88/200.97 ! [V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.88/200.97 => ? [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))))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inj__iff,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 <=> 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__o__cancel,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inj__on__inv__into,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__image__cancel,axiom, % 199.88/200.97 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 199.88/200.97 => 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 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inj__imp__surj__inv,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_image__inv__f__f,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__image__comp,axiom, % 199.88/200.97 ! [V_X_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_surj__imp__inj__inv,axiom, % 199.88/200.97 ! [V_f_2,T_b,T_c] : % 199.88/200.97 ( 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)) % 199.88/200.97 => 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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_image__inv__into__cancel,axiom, % 199.88/200.97 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 199.88/200.97 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 199.88/200.97 => 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 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_image__surj__f__inv__f,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_b,T_c] : % 199.88/200.97 ( 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)) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_surj__f__inv__f,axiom, % 199.88/200.97 ! [V_y_2,V_f_2,T_b,T_c] : % 199.88/200.97 ( 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)) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_surj__iff__all,axiom, % 199.88/200.97 ! [V_f_2,T_b,T_c] : % 199.88/200.97 ( 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)) % 199.88/200.97 <=> ! [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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__injective,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 199.88/200.97 ( 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) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.88/200.97 => V_x_2 = V_y_2 ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__into,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_f__inv__into__f,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__f__eq,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.88/200.97 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.88/200.97 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__f__f,axiom, % 199.88/200.97 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.88/200.97 => 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 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__f__eq,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.88/200.97 => 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 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__f__f,axiom, % 199.88/200.97 ! [V_x_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__id,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__def,axiom, % 199.88/200.97 ! [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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_o__inv__o__cancel,axiom, % 199.88/200.97 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__comp,axiom, % 199.88/200.97 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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)) % 199.88/200.97 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 199.88/200.97 => ( 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)))) % 199.88/200.97 => 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) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_surj__iff,axiom, % 199.88/200.97 ! [V_f_2,T_b,T_c] : % 199.88/200.97 ( 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)) % 199.88/200.97 <=> 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inj__transfer,axiom, % 199.88/200.97 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => ( ! [B_y] : % 199.88/200.97 ( 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))))) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) ) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_fold__image__UN__disjoint,axiom, % 199.88/200.97 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 199.88/200.97 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 199.88/200.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 199.88/200.97 => ! [B_xa] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 199.88/200.97 => ( B_x != B_xa % 199.88/200.97 => 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)) ) ) ) % 199.88/200.97 => 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) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_nat__of__cases,axiom, % 199.88/200.97 ! [V_y_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.88/200.97 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_nat__of__induct,axiom, % 199.88/200.97 ! [V_Pa_2,V_y_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.88/200.97 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_of__nat__cases,axiom, % 199.88/200.97 ! [V_x_2] : % 199.88/200.97 ~ ! [B_y] : % 199.88/200.97 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 199.88/200.97 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_of__nat__induct,axiom, % 199.88/200.97 ! [V_x_2,V_Pa_2] : % 199.88/200.97 ( ! [B_y] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_beyond__def,axiom, % 199.88/200.97 ! [V_l,V_k] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.88/200.97 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 199.88/200.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.88/200.97 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_beyond__zero,axiom, % 199.88/200.97 ! [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) ). % 199.88/200.97 % 199.88/200.97 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__image__Collect__eq,axiom, % 199.88/200.97 ! [V_Pa_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_curry__def,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_curryI,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 199.88/200.97 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__id,axiom, % 199.88/200.97 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__imp__bij__inv,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__inv__eq,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inv__into__inv__into__eq,axiom, % 199.88/200.97 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.88/200.97 => 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) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__inv__into,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 => 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_o__inv__distrib,axiom, % 199.88/200.97 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => ( 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))) % 199.88/200.97 => 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__comp__iff2,axiom, % 199.88/200.97 ! [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] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 199.88/200.97 => ( 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)) % 199.88/200.97 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 199.88/200.97 <=> 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) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__comp,axiom, % 199.88/200.97 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => ( 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))) % 199.88/200.97 => 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))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__comp__iff,axiom, % 199.88/200.97 ! [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] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.88/200.97 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 199.88/200.97 <=> 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) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__trans,axiom, % 199.88/200.97 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 199.88/200.97 => 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) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_curryD,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 199.88/200.97 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_curryE,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 199.88/200.97 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_curry__conv,axiom, % 199.88/200.97 ! [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)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__image__Compl__eq,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_finite__vimage__iff,axiom, % 199.88/200.97 ! [V_F_2,V_h_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 199.88/200.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__Disj__Un,axiom, % 199.88/200.97 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 199.88/200.97 ( 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)) % 199.88/200.97 => ( 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)) % 199.88/200.97 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.88/200.97 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 199.88/200.97 => 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)) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__combine,axiom, % 199.88/200.97 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 199.88/200.97 => ( 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)) % 199.88/200.97 => 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)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__id,axiom, % 199.88/200.97 ! [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))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__id__iff,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 199.88/200.97 <=> V_A_2 = V_B_2 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_BIJ,axiom, % 199.88/200.97 ! [V_B_2,T_c,V_A_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.88/200.97 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 199.88/200.97 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__finite,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__empty2,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__empty1,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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) % 199.88/200.97 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__the__inv__into,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 => 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__same__card,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__is__inj,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__imp__inj__on,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inj__on__imp__bij__betw,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__def,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.88/200.97 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.88/200.97 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__is__surj,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__imp__surj,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__betw__subset,axiom, % 199.88/200.97 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.88/200.97 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 199.88/200.97 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bijI,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 => ( 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)) % 199.88/200.97 => 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))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__def,axiom, % 199.88/200.97 ! [V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.88/200.97 & 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)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_curry__split,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_split__curry,axiom, % 199.88/200.97 ! [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 ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__image__INT,axiom, % 199.88/200.97 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_vimage__subset__eq,axiom, % 199.88/200.97 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => ( 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)) % 199.88/200.97 <=> 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))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bij__vimage__eq__inv__image,axiom, % 199.88/200.97 ! [V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( 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))) % 199.88/200.97 => 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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 199.88/200.97 ! [V_M_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 199.88/200.97 => ? [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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Cantor__Bernstein,axiom, % 199.88/200.97 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.88/200.97 => ( 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)) % 199.88/200.97 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 199.88/200.97 => ( 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)) % 199.88/200.97 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_ex__bij__betw__nat__finite,axiom, % 199.88/200.97 ! [V_M_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 199.88/200.97 => ? [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) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_ex__bij__betw__finite__nat,axiom, % 199.88/200.97 ! [V_M_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 199.88/200.97 => ? [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))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_refl__on__UNION,axiom, % 199.88/200.97 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 199.88/200.97 ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.88/200.97 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 199.88/200.97 => 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)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bex__reg__eqv,axiom, % 199.88/200.97 ! [V_Pa_2,V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.88/200.97 => ( ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.97 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Respects__def,axiom, % 199.88/200.97 ! [V_x_2,V_R_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_in__respects,axiom, % 199.88/200.97 ! [V_R_2,V_x_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_bex__reg__right,axiom, % 199.88/200.97 ! [V_Pa_2,V_Q_2,V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(V_Q_2,B_x)) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.88/200.97 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1)) % 199.88/200.97 => ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_babs__reg__eqv,axiom, % 199.88/200.97 ! [V_Pa_2,T_c,V_R_2,T_b] : % 199.88/200.97 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.88/200.97 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_Babs__def,axiom, % 199.88/200.97 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 199.88/200.97 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_wf__weak__decr__stable,axiom, % 199.88/200.97 ! [V_r_2,V_f_2,T_b] : % 199.88/200.97 ( ! [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))) % 199.88/200.97 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) % 199.88/200.97 => ? [B_i] : % 199.88/200.97 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_INT__anti__mono,axiom, % 199.88/200.97 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_INT__greatest,axiom, % 199.88/200.97 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 199.88/200.97 ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_rtrancl__induct2,axiom, % 199.88/200.97 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 199.88/200.97 ( 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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) % 199.88/200.97 => ( ! [B_a,B_b] : % 199.88/200.97 ( 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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.88/200.97 => ! [B_aa,B_ba] : % 199.88/200.97 ( 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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_converse__rtranclE2,axiom, % 199.88/200.97 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] : % 199.88/200.97 ( 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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.88/200.97 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2) % 199.88/200.97 => ~ ! [B_a,B_b] : % 199.88/200.97 ( 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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2)) % 199.88/200.97 => ~ 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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_converse__rtrancl__induct2,axiom, % 199.88/200.97 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 199.88/200.97 ( 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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) % 199.88/200.97 => ( ! [B_a,B_b,B_aa,B_ba] : % 199.88/200.97 ( 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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2)) % 199.88/200.97 => ( 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),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_congruentI,axiom, % 199.88/200.97 ! [T_c,V_f_2,V_r_2,T_b] : % 199.88/200.97 ( ! [B_y,B_z] : % 199.88/200.97 ( 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)) % 199.88/200.97 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 199.88/200.97 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_congruent2I_H,axiom, % 199.88/200.97 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 199.88/200.97 ( ! [B_y1,B_z1] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2)) % 199.88/200.97 => ! [B_y2,B_z2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2)) % 199.88/200.97 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 199.88/200.97 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact__03,axiom, % 199.88/200.97 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_list__all__iff__all__interval__nat,axiom, % 199.88/200.97 ! [V_j_2,V_i_2,V_Pa_2] : % 199.88/200.97 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 199.88/200.97 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact__04,axiom, % 199.88/200.97 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ). % 199.88/200.97 % 199.88/200.97 fof(fact_all__interval__nat__def,axiom, % 199.88/200.97 ! [V_j_2,V_i_2,V_Pa_2] : % 199.88/200.97 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) % 199.88/200.97 <=> ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2))) % 199.88/200.97 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_list__ex__iff__not__all__inverval__nat,axiom, % 199.88/200.97 ! [V_j_2,V_i_2,V_Pa_2] : % 199.88/200.97 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 199.88/200.97 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact__05,axiom, % 199.88/200.97 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_folding__image_Ocong,axiom, % 199.88/200.97 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.88/200.97 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.88/200.97 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 199.88/200.97 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact__06,axiom, % 199.88/200.97 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact__07,axiom, % 199.88/200.97 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ). % 199.88/200.97 % 199.88/200.97 fof(fact_New__DSequence_Opos__map__def,axiom, % 199.88/200.97 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_power__dvd__imp__le,axiom, % 199.88/200.97 ! [V_n,V_m,V_i] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oorder__refl,axiom, % 199.88/200.97 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__0__right,axiom, % 199.88/200.97 ! [V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__1__left,axiom, % 199.88/200.97 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__imp__le,axiom, % 199.88/200.97 ! [V_n,V_k] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__cancel,axiom, % 199.88/200.97 ! [V_n,V_m,V_k] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_nat__mult__dvd__cancel1,axiom, % 199.88/200.97 ! [V_na_2,V_m_2,V_k_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_setprod__dvd__setprod__subset,axiom, % 199.88/200.97 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 199.88/200.97 ( ( class_Groups_Ocomm__monoid__mult(T_c) % 199.88/200.97 & class_Rings_Odvd(T_c) ) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__eq__mod__eq__0__number__of,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,T_b] : % 199.88/200.97 ( ( class_Divides_Osemiring__div(T_b) % 199.88/200.97 & class_Int_Onumber(T_b) ) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 199.88/200.97 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__div__eq__mult,axiom, % 199.88/200.97 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_b) % 199.88/200.97 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 199.88/200.97 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2 % 199.88/200.97 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__div__div__eq__mult,axiom, % 199.88/200.97 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_b) % 199.88/200.97 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.88/200.97 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2)) % 199.88/200.97 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2) % 199.88/200.97 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__diffD1,axiom, % 199.88/200.97 ! [V_n,V_m,V_k] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__diffD,axiom, % 199.88/200.97 ! [V_n,V_m,V_k] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastatMost__subset__iff,axiom, % 199.88/200.97 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2))) % 199.88/200.97 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 199.88/200.97 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 199.88/200.97 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_le__imp__power__dvd,axiom, % 199.88/200.97 ! [V_a,V_n,V_m,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__power__le,axiom, % 199.88/200.97 ! [V_m,V_n,V_y,V_x,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_power__le__dvd,axiom, % 199.88/200.97 ! [V_m,V_b,V_n,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OgreaterThan__iff,axiom, % 199.88/200.97 ! [V_k_2,V_i_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2))) % 199.88/200.97 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OlessThan__iff,axiom, % 199.88/200.97 ! [V_k_2,V_i_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2))) % 199.88/200.97 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatMost__iff,axiom, % 199.88/200.97 ! [V_k_2,V_i_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeast__iff,axiom, % 199.88/200.97 ! [V_k_2,V_i_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_div__add,axiom, % 199.88/200.97 ! [V_y,V_x,V_z,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y)) % 199.88/200.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__add,axiom, % 199.88/200.97 ! [V_c,V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__reduce,axiom, % 199.88/200.97 ! [V_na_2,V_k_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom, % 199.88/200.97 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2))) % 199.88/200.97 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 199.88/200.97 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 199.88/200.97 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 199.88/200.97 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) ) % 199.88/200.97 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) ) % 199.88/200.97 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_nat__dvd__not__less,axiom, % 199.88/200.97 ! [V_n,V_m] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.88/200.97 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__1__iff__1,axiom, % 199.88/200.97 ! [V_m_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 199.88/200.97 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_div__power,axiom, % 199.88/200.97 ! [V_n,V_x,V_y,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 199.88/200.97 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__minus__iff,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,T_b] : % 199.88/200.97 ( class_Rings_Ocomm__ring__1(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_minus__dvd__iff,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,T_b] : % 199.88/200.97 ( class_Rings_Ocomm__ring__1(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2)) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__diff__nat,axiom, % 199.88/200.97 ! [V_n,V_m,V_k] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__diff,axiom, % 199.88/200.97 ! [V_z,V_y,V_x,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__ring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__neg__div,axiom, % 199.88/200.97 ! [V_x,V_y,T_a] : % 199.88/200.97 ( class_Divides_Oring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 199.88/200.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__div__neg,axiom, % 199.88/200.97 ! [V_x,V_y,T_a] : % 199.88/200.97 ( class_Divides_Oring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 199.88/200.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__imp__mod__0,axiom, % 199.88/200.97 ! [V_b,V_a,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__eq__mod__eq__0,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,T_b] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 199.88/200.97 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__if__abs__eq,axiom, % 199.88/200.97 ! [V_k,V_l,T_a] : % 199.88/200.97 ( class_Rings_Olinordered__idom(T_a) % 199.88/200.97 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_abs__dvd__iff,axiom, % 199.88/200.97 ! [V_k_2,V_m_2,T_b] : % 199.88/200.97 ( class_Rings_Olinordered__idom(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2)) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__abs__iff,axiom, % 199.88/200.97 ! [V_k_2,V_m_2,T_b] : % 199.88/200.97 ( class_Rings_Olinordered__idom(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_div__dvd__div,axiom, % 199.88/200.97 ! [V_c_2,V_b_2,V_a_2,T_b] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_c_2),V_a_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__0__left,axiom, % 199.88/200.97 ! [V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.88/200.97 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__refl,axiom, % 199.88/200.97 ! [V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__trans,axiom, % 199.88/200.97 ! [V_c,V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oeq__iff,axiom, % 199.88/200.97 ! [V_y_2,V_x_2] : % 199.88/200.97 ( V_x_2 = V_y_2 % 199.88/200.97 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 199.88/200.97 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Ole__less,axiom, % 199.88/200.97 ! [V_y_2,V_x_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 199.88/200.97 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 199.88/200.97 | V_x_2 = V_y_2 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__le,axiom, % 199.88/200.97 ! [V_y_2,V_x_2] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 199.88/200.97 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 199.88/200.97 & V_x_2 != V_y_2 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oneq__le__trans,axiom, % 199.88/200.97 ! [V_b,V_a] : % 199.88/200.97 ( V_a != V_b % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oeq__refl,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( V_x = V_y % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oantisym__conv,axiom, % 199.88/200.97 ! [V_x_2,V_y_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 199.88/200.97 <=> V_x_2 = V_y_2 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Ole__imp__less__or__eq,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 | V_x = V_y ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Ole__neq__trans,axiom, % 199.88/200.97 ! [V_b,V_a] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 199.88/200.97 => ( V_a != V_b % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oord__eq__le__trans,axiom, % 199.88/200.97 ! [V_c,V_b,V_a] : % 199.88/200.97 ( V_a = V_b % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oord__le__eq__trans,axiom, % 199.88/200.97 ! [V_c,V_b,V_a] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 199.88/200.97 => ( V_b = V_c % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__antisym,axiom, % 199.88/200.97 ! [V_n,V_m] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) % 199.88/200.97 => V_m = V_n ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oantisym,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 199.88/200.97 => V_x = V_y ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oorder__trans,axiom, % 199.88/200.97 ! [V_z,V_y,V_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oord__eq__less__trans,axiom, % 199.88/200.97 ! [V_c,V_b,V_a] : % 199.88/200.97 ( V_a = V_b % 199.88/200.97 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) ) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Ole__less__trans,axiom, % 199.88/200.97 ! [V_z,V_y,V_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__imp__neq,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => V_x != V_y ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__not__sym,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__imp__le,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__imp__not__less,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__imp__not__eq,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => V_x != V_y ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__imp__not__eq2,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => V_y != V_x ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oord__less__eq__trans,axiom, % 199.88/200.97 ! [V_c,V_b,V_a] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 199.88/200.97 => ( V_b = V_c % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__le__trans,axiom, % 199.88/200.97 ! [V_z,V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__asym_H,axiom, % 199.88/200.97 ! [V_b,V_a] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 199.88/200.97 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__trans,axiom, % 199.88/200.97 ! [V_z,V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Oless__asym,axiom, % 199.88/200.97 ! [V_y,V_x] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 199.88/200.97 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__power__same,axiom, % 199.88/200.97 ! [V_n,V_y,V_x,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mod__imp__dvd,axiom, % 199.88/200.97 ! [V_n,V_m,V_k,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mod,axiom, % 199.88/200.97 ! [V_n,V_m,V_k,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_mod__mod__cancel,axiom, % 199.88/200.97 ! [V_a,V_b,V_c,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 199.88/200.97 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mod__iff,axiom, % 199.88/200.97 ! [V_m_2,V_na_2,V_k_2,T_b] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_na_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_one__dvd,axiom, % 199.88/200.97 ! [V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_nat__dvd__1__iff__1,axiom, % 199.88/200.97 ! [V_m_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 199.88/200.97 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom, % 199.88/200.97 ! [V_b_2,V_a_2] : % 199.88/200.97 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) % 199.88/200.97 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom, % 199.88/200.97 ! [V_l_2,V_k_2] : % 199.88/200.97 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) % 199.88/200.97 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom, % 199.88/200.97 ! [V_b_2,V_a_2] : % 199.88/200.97 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 199.88/200.97 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom, % 199.88/200.97 ! [V_l_2,V_k_2] : % 199.88/200.97 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 199.88/200.97 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OgreaterThanLessThan__empty,axiom, % 199.88/200.97 ! [V_k_2,V_l_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 199.88/200.97 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastLessThan__empty,axiom, % 199.88/200.97 ! [V_a_2,V_b_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 199.88/200.97 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OgreaterThanAtMost__empty,axiom, % 199.88/200.97 ! [V_k_2,V_l_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 199.88/200.97 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastatMost__empty,axiom, % 199.88/200.97 ! [V_a_2,V_b_2] : % 199.88/200.97 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) % 199.88/200.97 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastatMost__empty__iff,axiom, % 199.88/200.97 ! [V_b_2,V_a_2] : % 199.88/200.97 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 199.88/200.97 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom, % 199.88/200.97 ! [V_b_2,V_a_2] : % 199.88/200.97 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) % 199.88/200.97 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 199.88/200.97 ! [V_b_2,V_a_2] : % 199.88/200.97 ( V_a_2 = V_b_2 % 199.88/200.97 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 199.88/200.97 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 199.88/200.97 ! [V_c_2,V_b_2,V_a_2] : % 199.88/200.97 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) % 199.88/200.97 <=> ( V_a_2 = V_b_2 % 199.88/200.97 & V_b_2 = V_c_2 ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inf__period_I4_J,axiom, % 199.88/200.97 ! [V_t_2,V_D_2,V_d_2,T_b] : % 199.88/200.97 ( ( class_Rings_Ocomm__ring(T_b) % 199.88/200.97 & class_Rings_Odvd(T_b) ) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 199.88/200.97 => ! [B_x,B_k] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_inf__period_I3_J,axiom, % 199.88/200.97 ! [V_t_2,V_D_2,V_d_2,T_b] : % 199.88/200.97 ( ( class_Rings_Ocomm__ring(T_b) % 199.88/200.97 & class_Rings_Odvd(T_b) ) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 199.88/200.97 => ! [B_x,B_k] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 199.88/200.97 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 199.88/200.97 ! [V_na_2,V_m_2,V_k_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 199.88/200.97 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.88/200.97 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_div__mult__div__if__dvd,axiom, % 199.88/200.97 ! [V_w,V_z,V_x,V_y,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w)) % 199.88/200.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__div__mult,axiom, % 199.88/200.97 ! [V_c,V_b,V_a,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__div__mult__self,axiom, % 199.88/200.97 ! [V_b,V_a,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_div__mult__swap,axiom, % 199.88/200.97 ! [V_a,V_b,V_c,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 199.88/200.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__div__cancel,axiom, % 199.88/200.97 ! [V_b,V_a,T_a] : % 199.88/200.97 ( class_Divides_Osemiring__div(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__cancel__right,axiom, % 199.88/200.97 ! [V_b_2,V_c_2,V_a_2,T_b] : % 199.88/200.97 ( class_Rings_Oidom(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2))) % 199.88/200.97 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.88/200.97 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__cancel__left,axiom, % 199.88/200.97 ! [V_b_2,V_a_2,V_c_2,T_b] : % 199.88/200.97 ( class_Rings_Oidom(T_b) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 199.88/200.97 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.88/200.97 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__triv__left,axiom, % 199.88/200.97 ! [V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__triv__right,axiom, % 199.88/200.97 ! [V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult2,axiom, % 199.88/200.97 ! [V_c,V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult,axiom, % 199.88/200.97 ! [V_b,V_c,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_mult__dvd__mono,axiom, % 199.88/200.97 ! [V_d,V_c,V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvdI,axiom, % 199.88/200.97 ! [V_k,V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Odvd(T_a) % 199.88/200.97 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__left,axiom, % 199.88/200.97 ! [V_c,V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__right,axiom, % 199.88/200.97 ! [V_c,V_b,V_a,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_unity__coeff__ex,axiom, % 199.88/200.97 ! [V_l_2,V_Pa_2,T_b] : % 199.88/200.97 ( ( class_Rings_Odvd(T_b) % 199.88/200.97 & class_Rings_Osemiring__0(T_b) ) % 199.88/200.97 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x))) % 199.88/200.97 <=> ? [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b)))) % 199.88/200.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__setprod,axiom, % 199.88/200.97 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_c) % 199.88/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__power,axiom, % 199.88/200.97 ! [V_x,V_n,T_a] : % 199.88/200.97 ( class_Rings_Ocomm__semiring__1(T_a) % 199.88/200.97 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.88/200.97 | V_x = c_Groups_Oone__class_Oone(T_a) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__cancel2,axiom, % 199.88/200.97 ! [V_na_2,V_m_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_m_2)),V_m_2)) % 199.88/200.97 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd__mult__cancel1,axiom, % 199.88/200.97 ! [V_na_2,V_m_2] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_m_2)) % 199.88/200.97 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_dvd_Ostrict__monoD,axiom, % 199.88/200.97 ! [V_y_2,V_x_2,V_f_2,T_b] : % 199.88/200.97 ( class_Orderings_Oorder(T_b) % 199.88/200.97 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) % 199.88/200.97 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 199.88/200.97 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_equiv__imp__dvd__card,axiom, % 199.88/200.97 ! [V_k_2,V_r_2,V_A_2,T_b] : % 199.88/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.88/200.97 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.88/200.97 => ( ! [B_x] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) ) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_zdvd__imp__le,axiom, % 199.88/200.97 ! [V_n,V_z] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n)) % 199.88/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ). % 199.88/200.97 % 199.88/200.97 fof(fact_zdvd__antisym__nonneg,axiom, % 199.88/200.97 ! [V_n,V_m] : % 199.88/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) % 199.88/200.97 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) % 199.88/200.97 => V_m = V_n ) ) ) ) ). % 199.88/200.97 % 199.88/200.97 %----Arity declarations (220) % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 199.88/200.97 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Obounded__lattice(T_1) % 199.88/200.97 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 199.88/200.97 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Obounded__lattice(T_1) % 199.88/200.97 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Obounded__lattice(T_1) % 199.88/200.97 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Olattice(T_1) % 199.88/200.97 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Olattice(T_1) % 199.88/200.97 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Odistrib__lattice(T_1) % 199.88/200.97 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Oboolean__algebra(T_1) % 199.88/200.97 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Orderings_Opreorder,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Orderings_Opreorder(T_1) % 199.88/200.97 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Finite__Set_Ofinite,axiom, % 199.88/200.97 ! [T_1,T_2] : % 199.88/200.97 ( ( class_Finite__Set_Ofinite(T_2) % 199.88/200.97 & class_Finite__Set_Ofinite(T_1) ) % 199.88/200.97 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Lattices_Olattice,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Lattices_Olattice(T_1) % 199.88/200.97 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Orderings_Oorder,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Orderings_Oorder(T_1) % 199.88/200.97 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Orderings_Otop,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Orderings_Otop(T_1) % 199.88/200.97 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Orderings_Oord,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Orderings_Oord(T_1) % 199.88/200.97 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Orderings_Obot,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Orderings_Obot(T_1) % 199.88/200.97 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Groups_Ouminus,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Groups_Ouminus(T_1) % 199.88/200.97 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Groups_Ominus,axiom, % 199.88/200.97 ! [T_2,T_1] : % 199.88/200.97 ( class_Groups_Ominus(T_1) % 199.88/200.97 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_fun__Enum_Oenum,axiom, % 199.88/200.97 ! [T_1,T_2] : % 199.88/200.97 ( ( class_Enum_Oenum(T_2) % 199.88/200.97 & class_Enum_Oenum(T_1) ) % 199.88/200.97 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Com__Ocom__Nat_Osize,axiom, % 199.88/200.97 class_Nat_Osize(tc_Com_Ocom) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 199.88/200.97 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 199.88/200.97 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 199.88/200.97 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 199.88/200.97 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 199.88/200.97 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 199.88/200.97 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 199.88/200.97 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 199.88/200.97 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 199.88/200.97 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 199.88/200.97 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 199.88/200.97 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 199.88/200.97 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 199.88/200.97 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 199.88/200.97 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 199.88/200.97 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 199.88/200.97 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 199.88/200.97 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 199.88/200.97 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 199.88/200.97 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 199.88/200.97 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 199.88/200.97 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 199.88/200.97 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 199.88/200.97 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 199.88/200.97 class_Divides_Osemiring__div(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 199.88/200.97 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 199.88/200.97 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 199.88/200.97 class_Groups_Oab__group__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 199.88/200.97 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 199.88/200.97 class_Rings_Oordered__ring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 199.88/200.97 class_Orderings_Opreorder(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 199.88/200.97 class_Orderings_Olinorder(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 199.88/200.97 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 199.88/200.97 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 199.88/200.97 class_Groups_Omonoid__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 199.88/200.97 class_Rings_Osemiring__1(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 199.88/200.97 class_Rings_Osemiring__0(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 199.88/200.97 class_Lattices_Olattice(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 199.88/200.97 class_Groups_Ogroup__add(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 199.88/200.97 class_Divides_Oring__div(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 199.88/200.97 class_Rings_Omult__zero(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 199.88/200.97 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 199.88/200.97 class_Orderings_Oorder(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 199.88/200.97 class_Int_Oring__char__0(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 199.88/200.97 class_Int_Onumber__ring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 199.88/200.97 class_Rings_Osemiring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Orderings_Oord,axiom, % 199.88/200.97 class_Orderings_Oord(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 199.88/200.97 class_Groups_Ouminus(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 199.88/200.97 class_Groups_Osgn__if(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 199.88/200.97 class_Groups_Oabs__if(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 199.88/200.97 class_Rings_Oring__1(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ominus,axiom, % 199.88/200.97 class_Groups_Ominus(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Power_Opower,axiom, % 199.88/200.97 class_Power_Opower(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Ozero,axiom, % 199.88/200.97 class_Groups_Ozero(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oring,axiom, % 199.88/200.97 class_Rings_Oring(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Oidom,axiom, % 199.88/200.97 class_Rings_Oidom(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Int_Onumber,axiom, % 199.88/200.97 class_Int_Onumber(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Groups_Oone,axiom, % 199.88/200.97 class_Groups_Oone(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Int__Oint__Rings_Odvd,axiom, % 199.88/200.97 class_Rings_Odvd(tc_Int_Oint) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 199.88/200.97 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 199.88/200.97 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 199.88/200.97 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 199.88/200.97 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 199.88/200.97 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 199.88/200.97 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 199.88/200.97 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 199.88/200.97 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 199.88/200.97 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 199.88/200.97 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 199.88/200.97 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 199.88/200.97 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 199.88/200.97 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 199.88/200.97 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 199.88/200.97 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 199.88/200.97 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 199.88/200.97 class_Orderings_Owellorder(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 199.88/200.97 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 199.88/200.97 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 199.88/200.97 class_Orderings_Opreorder(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 199.88/200.97 class_Orderings_Olinorder(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 199.88/200.97 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 199.88/200.97 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 199.88/200.97 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 199.88/200.97 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 199.88/200.97 class_Lattices_Olattice(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 199.88/200.97 class_Rings_Omult__zero(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 199.88/200.97 class_Orderings_Oorder(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 199.88/200.97 class_Rings_Osemiring(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 199.88/200.97 class_Orderings_Oord(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 199.88/200.97 class_Orderings_Obot(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 199.88/200.97 class_Groups_Ominus(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Power_Opower,axiom, % 199.88/200.97 class_Power_Opower(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 199.88/200.97 class_Groups_Ozero(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Int_Onumber,axiom, % 199.88/200.97 class_Int_Onumber(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Groups_Oone,axiom, % 199.88/200.97 class_Groups_Oone(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 199.88/200.97 class_Rings_Odvd(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nat__Onat__Nat_Osize,axiom, % 199.88/200.97 class_Nat_Osize(tc_Nat_Onat) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 199.88/200.97 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 199.88/200.97 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 199.88/200.97 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 199.88/200.97 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 199.88/200.97 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 199.88/200.97 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 199.88/200.97 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 199.88/200.97 class_Orderings_Opreorder(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 199.88/200.97 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 199.88/200.97 class_Lattices_Olattice(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 199.88/200.97 class_Orderings_Oorder(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 199.88/200.97 class_Orderings_Otop(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 199.88/200.97 class_Orderings_Oord(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 199.88/200.97 class_Orderings_Obot(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 199.88/200.97 class_Groups_Ouminus(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 199.88/200.97 class_Groups_Ominus(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 199.88/200.97 class_Enum_Oenum(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_HOL__Obool__Nat_Osize,axiom, % 199.88/200.97 class_Nat_Osize(tc_HOL_Obool) ). % 199.88/200.97 % 199.88/200.97 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 199.88/200.97 ! [T_1] : % 199.88/200.97 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 199.88/200.97 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_List__Olist__Nat_Osize,axiom, % 199.88/200.97 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 199.88/200.97 % 199.88/200.97 fof(arity_sum__Finite__Set_Ofinite,axiom, % 199.88/200.97 ! [T_1,T_2] : % 199.88/200.97 ( ( class_Finite__Set_Ofinite(T_2) % 199.88/200.97 & class_Finite__Set_Ofinite(T_1) ) % 199.88/200.97 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_sum__Enum_Oenum,axiom, % 199.88/200.97 ! [T_1,T_2] : % 199.88/200.97 ( ( class_Enum_Oenum(T_2) % 199.88/200.97 & class_Enum_Oenum(T_1) ) % 199.88/200.97 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_sum__Nat_Osize,axiom, % 199.88/200.97 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 199.88/200.97 ! [T_1] : % 199.88/200.97 ( class_Finite__Set_Ofinite(T_1) % 199.88/200.97 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 199.88/200.97 ! [T_1] : % 199.88/200.97 ( class_Enum_Oenum(T_1) % 199.88/200.97 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Option__Ooption__Nat_Osize,axiom, % 199.88/200.97 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 199.88/200.97 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 199.88/200.97 % 199.88/200.97 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 199.88/200.97 ! [T_1,T_2] : % 199.88/200.97 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 199.88/200.97 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 199.88/200.97 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_prod__Finite__Set_Ofinite,axiom, % 199.88/200.97 ! [T_1,T_2] : % 199.88/200.97 ( ( class_Finite__Set_Ofinite(T_2) % 199.88/200.97 & class_Finite__Set_Ofinite(T_1) ) % 199.88/200.97 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_prod__Enum_Oenum,axiom, % 199.88/200.97 ! [T_1,T_2] : % 199.88/200.97 ( ( class_Enum_Oenum(T_2) % 199.88/200.97 & class_Enum_Oenum(T_1) ) % 199.88/200.97 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 199.88/200.97 % 199.88/200.97 fof(arity_prod__Nat_Osize,axiom, % 199.88/200.97 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 199.88/200.97 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 199.88/200.97 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 199.88/200.97 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 199.88/200.97 class_Nat_Osize(tc_Product__Type_Ounit) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 199.88/200.97 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 199.88/200.97 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 199.88/200.97 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 199.88/200.97 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 199.88/200.97 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 199.88/200.97 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 199.88/200.97 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 199.88/200.97 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 199.88/200.97 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 199.88/200.97 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 199.88/200.97 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 199.88/200.97 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.97 % 199.88/200.97 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 199.88/200.98 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 199.88/200.98 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 199.88/200.98 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 199.88/200.98 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 199.88/200.98 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 199.88/200.98 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 199.88/200.98 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 199.88/200.98 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 199.88/200.98 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 199.88/200.98 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 199.88/200.98 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 199.88/200.98 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 199.88/200.98 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 199.88/200.98 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 199.88/200.98 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 199.88/200.98 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 199.88/200.98 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 199.88/200.98 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 199.88/200.98 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 199.88/200.98 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 199.88/200.98 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 199.88/200.98 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 199.88/200.98 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 199.88/200.98 % 199.88/200.98 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 199.88/200.98 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 199.88/200.98 % 199.88/200.98 %----Helper facts (20) % 199.88/200.98 fof(help_c__COMBI__1,axiom, % 199.88/200.98 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 199.88/200.98 % 199.88/200.98 fof(help_c__COMBK__1,axiom, % 199.88/200.98 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 199.88/200.98 % 199.88/200.98 fof(help_c__COMBB__1,axiom, % 199.88/200.98 ! [V_R_2,V_Q_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__COMBC__1,axiom, % 199.88/200.98 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Q_2) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__COMBS__1,axiom, % 199.88/200.98 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fequal__1,axiom, % 199.88/200.98 ! [V_y_2,V_x_2] : % 199.88/200.98 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 199.88/200.98 | V_x_2 = V_y_2 ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fequal__2,axiom, % 199.88/200.98 ! [V_y_2,V_x_2] : % 199.88/200.98 ( V_x_2 != V_y_2 % 199.88/200.98 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fFalse__1,axiom, % 199.88/200.98 ~ hBOOL(c_fFalse) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fTrue__1,axiom, % 199.88/200.98 hBOOL(c_fTrue) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fNot__1,axiom, % 199.88/200.98 ! [V_Pa_2] : % 199.88/200.98 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 199.88/200.98 | ~ hBOOL(V_Pa_2) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fNot__2,axiom, % 199.88/200.98 ! [V_Pa_2] : % 199.88/200.98 ( ~ ~ hBOOL(V_Pa_2) % 199.88/200.98 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fconj__1,axiom, % 199.88/200.98 ! [V_Q_2,V_Pa_2] : % 199.88/200.98 ( ~ hBOOL(V_Pa_2) % 199.88/200.98 | ~ hBOOL(V_Q_2) % 199.88/200.98 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fconj__2,axiom, % 199.88/200.98 ! [V_Q_2,V_Pa_2] : % 199.88/200.98 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 199.88/200.98 | hBOOL(V_Pa_2) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fconj__3,axiom, % 199.88/200.98 ! [V_Q_2,V_Pa_2] : % 199.88/200.98 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 199.88/200.98 | hBOOL(V_Q_2) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fdisj__1,axiom, % 199.88/200.98 ! [V_Q_2,V_Pa_2] : % 199.88/200.98 ( ~ hBOOL(V_Pa_2) % 199.88/200.98 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fdisj__2,axiom, % 199.88/200.98 ! [V_Pa_2,V_Q_2] : % 199.88/200.98 ( ~ hBOOL(V_Q_2) % 199.88/200.98 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fdisj__3,axiom, % 199.88/200.98 ! [V_Q_2,V_Pa_2] : % 199.88/200.98 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) % 199.88/200.98 | hBOOL(V_Pa_2) % 199.88/200.98 | hBOOL(V_Q_2) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fimplies__1,axiom, % 199.88/200.98 ! [V_Q_2,V_Pa_2] : % 199.88/200.98 ( hBOOL(V_Pa_2) % 199.88/200.98 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fimplies__2,axiom, % 199.88/200.98 ! [V_Pa_2,V_Q_2] : % 199.88/200.98 ( ~ hBOOL(V_Q_2) % 199.88/200.98 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 199.88/200.98 % 199.88/200.98 fof(help_c__fimplies__3,axiom, % 199.88/200.98 ! [V_Q_2,V_Pa_2] : % 199.88/200.98 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) % 199.88/200.98 | ~ hBOOL(V_Pa_2) % 199.88/200.98 | hBOOL(V_Q_2) ) ). % 199.88/200.98 % 199.88/200.98 %----Conjectures (6) % 199.88/200.98 fof(conj_0,hypothesis, % 199.88/200.98 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ). % 199.88/200.98 % 199.88/200.98 fof(conj_1,hypothesis, % 199.88/200.98 ! [B_G] : % 199.88/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),B_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) % 199.88/200.98 => ( hAPP(c_Finite__Set_Ocard(t_a),B_G) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),v_n) % 199.88/200.98 => ! [B_c] : % 199.88/200.98 ( v_wt(B_c) % 199.88/200.98 => v_P(B_G,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(B_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ) ) ). % 199.88/200.98 % 199.88/200.98 fof(conj_2,hypothesis, % 199.88/200.98 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ). % 199.88/200.98 % 199.88/200.98 fof(conj_3,hypothesis, % 199.88/200.98 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,v_n)),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))) ). % 199.88/200.98 % 199.88/200.98 fof(conj_4,hypothesis, % 199.88/200.98 hAPP(c_Finite__Set_Ocard(t_a),v_G) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),hAPP(c_Nat_OSuc,v_n)) ). % 199.88/200.98 % 199.88/200.98 fof(conj_5,conjecture, % 199.88/200.98 ! [B_x] : % 199.88/200.98 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U)) % 199.88/200.98 => v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ). % 199.88/200.98 % 199.88/200.98 %------------------------------------------------------------------------------ % 199.88/200.98 %------------------------------------------- % 199.88/200.98 % Proof found % 199.88/200.98 % SZS status Theorem for theBenchmark % 199.88/200.98 % SZS output start Proof % 199.88/200.98 %ClaNum:10392(EqnAxiom:3032) % 199.88/200.98 %VarNum:70769(SingletonVarNum:20402) % 199.88/200.98 %MaxLitNum:8 % 199.88/200.98 %MaxfuncDepth:13 % 199.88/200.98 %SharedTerms:1023 % 199.88/200.98 %goalClause: 3409 4623 % 199.88/200.98 %singleGoalClaCount:2 % 199.88/200.98 [3036]P1(a177) % 199.88/200.98 [3037]P2(a894) % 199.88/200.98 [3038]P2(a897) % 199.88/200.98 [3039]P65(a894) % 199.88/200.98 [3040]P65(a898) % 199.88/200.98 [3041]P65(a1) % 199.88/200.98 [3042]P65(a89) % 199.88/200.98 [3043]P66(a894) % 199.88/200.98 [3044]P66(a898) % 199.88/200.98 [3045]P107(a894) % 199.88/200.98 [3046]P107(a898) % 199.88/200.98 [3047]P107(a1) % 199.88/200.98 [3048]P107(a89) % 199.88/200.98 [3049]P67(a1) % 199.88/200.98 [3050]P108(a898) % 199.88/200.98 [3051]P108(a1) % 199.88/200.98 [3052]P108(a89) % 199.88/200.98 [3053]P109(a894) % 199.88/200.98 [3054]P109(a898) % 199.88/200.98 [3055]P109(a1) % 199.88/200.98 [3056]P109(a89) % 199.88/200.98 [3057]P68(a1) % 199.88/200.98 [3058]P69(a898) % 199.88/200.98 [3059]P69(a1) % 199.88/200.98 [3060]P69(a89) % 199.88/200.98 [3061]P70(a894) % 199.88/200.98 [3062]P70(a898) % 199.88/200.98 [3063]P70(a1) % 199.88/200.98 [3064]P70(a89) % 199.88/200.98 [3065]P71(a898) % 199.88/200.98 [3066]P71(a1) % 199.88/200.98 [3067]P71(a89) % 199.88/200.98 [3068]P72(a898) % 199.88/200.98 [3069]P72(a1) % 199.88/200.98 [3070]P72(a89) % 199.88/200.98 [3071]P83(a898) % 199.88/200.98 [3072]P83(a1) % 199.88/200.98 [3073]P83(a89) % 199.88/200.98 [3074]P86(a898) % 199.88/200.98 [3075]P86(a1) % 199.88/200.98 [3076]P86(a89) % 199.88/200.98 [3077]P73(a898) % 199.88/200.98 [3078]P73(a1) % 199.88/200.98 [3079]P73(a89) % 199.88/200.98 [3080]P84(a898) % 199.88/200.98 [3081]P84(a1) % 199.88/200.98 [3082]P84(a89) % 199.88/200.98 [3083]P76(a1) % 199.88/200.98 [3084]P110(a898) % 199.88/200.98 [3085]P110(a1) % 199.88/200.98 [3086]P110(a89) % 199.88/200.98 [3087]P111(a1) % 199.88/200.98 [3088]P87(a898) % 199.88/200.98 [3089]P87(a1) % 199.88/200.98 [3090]P87(a89) % 199.88/200.98 [3091]P81(a898) % 199.88/200.98 [3092]P81(a1) % 199.88/200.98 [3093]P81(a89) % 199.88/200.98 [3094]P77(a898) % 199.88/200.98 [3095]P77(a1) % 199.88/200.98 [3096]P77(a89) % 199.88/200.98 [3097]P79(a1) % 199.88/200.98 [3098]P127(a898) % 199.88/200.98 [3099]P127(a1) % 199.88/200.98 [3100]P127(a89) % 199.88/200.98 [3101]P88(a898) % 199.88/200.98 [3102]P88(a1) % 199.88/200.98 [3103]P88(a89) % 199.88/200.98 [3104]P146(a898) % 199.88/200.98 [3105]P146(a1) % 199.88/200.98 [3106]P112(a898) % 199.88/200.98 [3107]P112(a1) % 199.88/200.98 [3108]P112(a89) % 199.88/200.98 [3109]P128(a1) % 199.88/200.98 [3110]P92(a1) % 199.88/200.98 [3111]P74(a898) % 199.88/200.98 [3112]P74(a1) % 199.88/200.98 [3113]P74(a89) % 199.88/200.98 [3114]P129(a898) % 199.88/200.98 [3115]P129(a1) % 199.88/200.98 [3116]P129(a89) % 199.88/200.98 [3117]P141(a1) % 199.88/200.98 [3118]P130(a898) % 199.88/200.98 [3119]P130(a1) % 199.88/200.98 [3120]P130(a89) % 199.88/200.98 [3121]P113(a898) % 199.88/200.98 [3122]P113(a1) % 199.88/200.98 [3123]P113(a89) % 199.88/200.98 [3124]P143(a898) % 199.88/200.98 [3125]P143(a1) % 199.88/200.98 [3126]P143(a89) % 199.88/200.98 [3127]P78(a898) % 199.88/200.98 [3128]P78(a1) % 199.88/200.98 [3129]P78(a89) % 199.88/200.98 [3130]P82(a898) % 199.88/200.98 [3131]P82(a1) % 199.88/200.98 [3132]P82(a89) % 199.88/200.98 [3133]P135(a898) % 199.88/200.98 [3134]P135(a1) % 199.88/200.98 [3135]P135(a89) % 199.88/200.98 [3136]P136(a1) % 199.88/200.98 [3137]P138(a898) % 199.88/200.98 [3138]P138(a1) % 199.88/200.98 [3139]P138(a89) % 199.88/200.98 [3140]P137(a898) % 199.88/200.98 [3141]P137(a1) % 199.88/200.98 [3142]P137(a89) % 199.88/200.98 [3143]P125(a1) % 199.88/200.98 [3144]P126(a1) % 199.88/200.98 [3145]P131(a898) % 199.88/200.98 [3146]P131(a1) % 199.88/200.98 [3147]P131(a89) % 199.88/200.98 [3148]P119(a898) % 199.88/200.98 [3149]P119(a1) % 199.88/200.98 [3150]P119(a89) % 199.88/200.98 [3151]P140(a1) % 199.88/200.98 [3152]P132(a898) % 199.88/200.98 [3153]P132(a1) % 199.88/200.98 [3154]P132(a89) % 199.88/200.98 [3155]P133(a1) % 199.88/200.98 [3156]P134(a1) % 199.88/200.98 [3157]P93(a1) % 199.88/200.98 [3158]P94(a898) % 199.88/200.98 [3159]P94(a1) % 199.88/200.98 [3160]P94(a89) % 199.88/200.98 [3161]P89(a1) % 199.88/200.98 [3162]P95(a898) % 199.88/200.98 [3163]P95(a1) % 199.88/200.98 [3164]P95(a89) % 199.88/200.98 [3165]P144(a898) % 199.88/200.98 [3166]P144(a1) % 199.88/200.98 [3167]P144(a89) % 199.88/200.98 [3168]P85(a1) % 199.88/200.98 [3169]P139(a1) % 199.88/200.98 [3170]P96(a894) % 199.88/200.98 [3171]P91(a894) % 199.88/200.98 [3172]P91(a1) % 199.88/200.98 [3173]P120(a1) % 199.88/200.98 [3174]P142(a1) % 199.88/200.98 [3175]P114(a1) % 199.88/200.98 [3176]P75(a1) % 199.88/200.98 [3177]P115(a898) % 199.88/200.98 [3178]P115(a1) % 199.88/200.98 [3179]P115(a89) % 199.88/200.98 [3180]P145(a898) % 199.88/200.98 [3181]P145(a1) % 199.88/200.98 [3182]P145(a89) % 199.88/200.98 [3183]P3(a898) % 199.88/200.98 [3184]P3(a1) % 199.88/200.98 [3185]P3(a89) % 199.88/200.98 [3186]P4(a1) % 199.88/200.98 [3187]P98(a894) % 199.88/200.98 [3188]P98(a898) % 199.88/200.98 [3189]P98(a1) % 199.88/200.98 [3190]P103(a894) % 199.88/200.98 [3191]P103(a898) % 199.88/200.98 [3192]P103(a1) % 199.88/200.98 [3193]P99(a894) % 199.88/200.98 [3194]P5(a894) % 199.88/200.98 [3195]P104(a894) % 199.88/200.98 [3196]P104(a898) % 199.88/200.98 [3197]P104(a1) % 199.88/200.98 [3198]P101(a894) % 199.88/200.98 [3199]P101(a898) % 199.88/200.98 [3200]P101(a1) % 199.88/200.98 [3201]P102(a894) % 199.88/200.98 [3202]P116(a894) % 199.88/200.98 [3203]P80(a898) % 199.88/200.98 [3204]P80(a1) % 199.88/200.98 [3205]P80(a89) % 199.88/200.98 [3206]P117(a898) % 199.88/200.98 [3207]P90(a898) % 199.88/200.98 [3208]P90(a1) % 199.88/200.98 [3209]P90(a89) % 199.88/200.98 [3210]P60(a894) % 199.88/200.98 [3211]P60(a897) % 199.88/200.98 [3212]P106(a894) % 199.88/200.98 [3213]P106(a898) % 199.88/200.98 [3214]P106(a895) % 199.88/200.98 [3215]P106(a89) % 199.88/200.98 [3216]P106(a897) % 199.88/200.98 [3217]P106(a313) % 199.88/200.98 [3218]P105(a1) % 199.88/200.98 [3219]P105(a897) % 199.88/200.98 [3220]P121(a898) % 199.88/200.98 [3221]P121(a1) % 199.88/200.98 [3222]P121(a89) % 199.88/200.98 [3223]P118(a1) % 199.88/200.98 [3224]P100(a894) % 199.88/200.98 [3238]P36(a898,a230) % 199.88/200.98 [3239]P36(a898,a307) % 199.88/200.98 [3240]P37(a898,a230) % 199.88/200.98 [4567]~E(a87,a77) % 199.88/200.98 [4568]~P1(a223) % 199.88/200.98 [3033]E(f2(a1),a77) % 199.88/200.98 [3034]E(f90(a89),a3) % 199.88/200.98 [3035]E(f23(a89),a24) % 199.88/200.98 [3225]E(f178(a898),f2(a898)) % 199.88/200.98 [3226]E(f78(a223),f2(a898)) % 199.88/200.98 [3227]E(f78(a177),f2(a898)) % 199.88/200.98 [3228]E(f224(a898),f91(a898)) % 199.88/200.98 [3229]E(f229(a898),f92(a898)) % 199.88/200.98 [3230]E(f93(a1),f25(a1)) % 199.88/200.98 [3231]P6(f72(a1)) % 199.88/200.98 [3232]P6(f2(a1)) % 199.88/200.98 [3286]P36(f904(a898,a898),a26) % 199.88/200.98 [3628]E(f309(a898,a898,a230,a230),a26) % 199.88/200.98 [4569]~E(f72(a1),f2(a1)) % 199.88/200.98 [3233]E(f101(f2(a898)),f2(a898)) % 199.88/200.98 [3234]E(f4(f2(a89)),f2(a898)) % 199.88/200.98 [3242]E(f317(f73(a1),a77),a77) % 199.88/200.98 [3245]E(f317(a102,f2(a898)),f72(a898)) % 199.88/200.98 [3246]E(f317(a95,f72(a1)),f72(a898)) % 199.88/200.98 [3247]E(f317(a3,f72(a898)),f72(a89)) % 199.88/200.98 [3249]E(f317(a3,f2(a898)),f2(a89)) % 199.88/200.98 [3251]E(f317(f94(a1),a77),f2(a1)) % 199.88/200.98 [3252]E(f317(f94(a89),a77),f2(a89)) % 199.88/200.98 [3253]E(f317(a95,f2(a1)),f2(a898)) % 199.88/200.98 [3254]E(f317(f94(a898),a77),f2(a898)) % 199.88/200.98 [3255]E(f317(f179(a894),a223),f2(a898)) % 199.88/200.98 [3256]E(f317(f179(a894),a177),f2(a898)) % 199.88/200.98 [3262]E(f317(f73(a1),f72(a1)),a87) % 199.88/200.98 [3270]E(f317(f179(a89),f2(a89)),f2(a898)) % 199.88/200.98 [3271]E(f317(f90(a1),f72(a898)),f72(a1)) % 199.88/200.98 [3272]E(f317(f90(a1),f2(a898)),f2(a1)) % 199.88/200.98 [3273]E(f317(f73(a1),f2(a1)),f2(a1)) % 199.88/200.98 [3283]E(f317(a95,f72(a1)),f317(a102,f2(a898))) % 199.88/200.98 [3284]E(f308(f904(a898,a898),a26),a27) % 199.88/200.98 [3285]E(f310(f904(a898,a898),a26),a63) % 199.88/200.98 [3287]P1(f317(f28(a896),a906)) % 199.88/200.98 [3313]E(f317(f272(a898),f2(a898)),f178(f905(a898,a894))) % 199.88/200.98 [3314]E(f317(f273(a898),f2(a898)),f232(f905(a898,a894))) % 199.88/200.98 [3322]P39(f178(f905(a1,a894))) % 199.88/200.98 [3356]E(f317(f317(f23(a89),f2(a89)),f72(a89)),f2(a89)) % 199.88/200.98 [3432]P1(f317(f317(f226(a1),a87),f2(a1))) % 199.88/200.98 [3456]P1(f317(f317(f225(a1),f2(a1)),f72(a1))) % 199.88/200.98 [3458]P1(f317(f317(f226(a1),f2(a1)),f72(a1))) % 199.88/200.98 [3659]E(f317(f317(f279(a898,a898,a898),a307),f297(a898,a307)),a230) % 199.88/200.98 [3696]P40(a1,a898,a95,f317(f225(a1),f2(a1))) % 199.88/200.98 [3700]E(f317(f317(f34(a898,f905(a898,a894)),f232(f905(a898,a894))),f272(a898)),f232(f905(a898,a894))) % 199.88/200.98 [3701]E(f317(f317(f34(a898,f905(a898,a894)),f232(f905(a898,a894))),f291(a898)),f232(f905(a898,a894))) % 199.88/200.98 [3702]E(f317(f317(f34(a898,f905(a898,a894)),f232(f905(a898,a894))),f273(a898)),f232(f905(a898,a894))) % 199.88/200.98 [3703]E(f317(f317(f35(a898,f905(a898,a894)),f232(f905(a898,a894))),f294(a898)),f178(f905(a898,a894))) % 199.88/200.98 [3718]P24(a898,a1,f90(a1),f232(f905(a898,a894))) % 199.88/200.98 [3732]P40(a898,a1,f90(a1),f317(f16(a894,a898),a177)) % 199.88/200.98 [3867]E(f317(f67(a898,a89,a1,a3),a95),f94(a89)) % 199.88/200.98 [4040]E(f317(f317(f23(a898),f317(f29(a893),f317(f300(a896,a893,a908),a906))),f317(a102,a910)),f317(f29(a893),a907)) % 199.88/200.98 [4089]P56(a89,a898,a20,a3,f232(f905(a898,a894))) % 199.88/200.98 [4093]P56(a1,f905(f904(a898,a898),a894),a97,a83,a88) % 199.88/200.98 [4347]E(f248(a1,a1,a1,a1,f25(a1),f73(a1)),a46) % 199.88/200.98 [4578]~E(f317(f94(a1),a87),f317(f94(a1),a77)) % 199.88/200.98 [4579]~P1(f317(a183,f72(a1))) % 199.88/200.98 [4580]~P1(f317(a183,f2(a1))) % 199.88/200.98 [4605]~P1(f317(f317(f226(a1),a77),f2(a1))) % 199.88/200.98 [3305]E(f317(f317(f23(a1),a87),a87),a77) % 199.88/200.98 [3320]E(f317(f90(a1),f317(a102,f2(a898))),f72(a1)) % 199.88/200.98 [3385]E(f317(f29(a897),f232(f905(a897,a894))),f72(a898)) % 199.88/200.98 [3405]P1(f317(a183,f317(f94(a1),a87))) % 199.88/200.98 [3407]P1(f317(f317(f225(a1),a87),a77)) % 199.88/200.98 [3409]P1(f317(f317(f319(a896),a795),a906)) % 199.88/200.98 [3410]P1(f317(f317(f226(a1),a87),a77)) % 199.88/200.98 [3466]E(f317(f317(f299(a898),f2(a898)),f178(f905(a898,a894))),f317(f291(a898),f2(a898))) % 199.88/200.98 [3519]P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),a77))) % 199.88/200.98 [3531]E(f317(f300(a898,a898,a102),f232(f905(a898,a894))),f317(f294(a898),f2(a898))) % 199.88/200.98 [3566]P8(f904(a898,a898),f232(f905(f904(a898,a898),a894)),a99) % 199.88/200.98 [3874]E(f317(f67(a898,a1,a89,f90(a1)),a20),a22) % 199.88/200.98 [3933]P36(a898,f317(f252(f904(a898,a898)),f317(f247(a898,a898,a894),f226(a898)))) % 199.88/200.98 [3971]P1(f317(f317(f225(f905(a893,a894)),a907),f317(f300(a896,a893,a908),a906))) % 199.88/200.98 [4596]~P1(f317(a183,f317(f94(a1),a77))) % 199.88/200.98 [4597]~P1(f317(f317(f225(a1),a77),a87)) % 199.88/200.98 [4598]~P1(f317(f317(f226(a1),a77),a77)) % 199.88/200.98 [4599]~P1(f317(f317(f226(a1),a77),a87)) % 199.88/200.98 [4600]~P1(f317(f317(f226(a1),a87),a87)) % 199.88/200.98 [4609]~P1(f317(f28(a898),f232(f905(a898,a894)))) % 199.88/200.98 [4610]~P1(f317(f28(a1),f232(f905(a1,a894)))) % 199.88/200.98 [4623]~P149(a907,f317(f317(f299(a893),f317(a908,a795)),f178(f905(a893,a894)))) % 199.88/200.98 [4058]P1(f317(f317(f225(a898),f317(a102,a910)),f317(f29(a893),f317(f300(a896,a893,a908),a906)))) % 199.88/200.98 [4513]E(f317(f247(a1,a1,a894),f317(f317(f8(f905(a1,a894),f905(a1,a894),a1),f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f226(a1),f2(a1))))),f317(f317(f7(a1,a1,f905(a1,a894)),f317(f317(f8(f905(a1,f905(a1,a894)),f905(a1,f905(a1,a894)),a1),f7(a1,a1,a894)),f317(f317(f8(f905(a1,a1),f905(a1,f905(a1,a894)),a1),f317(f8(a1,f905(a1,a894),a1),a314)),a207))),f72(a1)))),a203) % 199.88/200.98 [3603]E(f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f73(a1),a87)) % 199.88/200.98 [3641]E(f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f317(f23(a1),a77),a87)) % 199.88/200.98 [3801]E(f317(f317(f55(f904(a898,a898)),f232(f905(f904(a898,a898),a894))),a99),a88) % 199.88/200.98 [3830]E(f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a1)) % 199.88/200.98 [3831]E(f317(f94(a89),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a89)) % 199.88/200.98 [3832]E(f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a898)) % 199.88/200.98 [3835]E(f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(a102,f2(a898))) % 199.88/200.98 [4215]E(f317(f317(f91(f905(f904(f904(a898,a898),f904(a898,a898)),a894)),a26),f297(f904(a898,a898),f178(f905(f904(f904(a898,a898),f904(a898,a898)),a894)))),a65) % 199.88/200.98 [4281]E(f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),f72(a898)),f2(a898))),f178(f905(f904(a898,a898),a894))))),f72(a1)) % 199.88/200.98 [4282]E(f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),f2(a898)),f2(a898))),f178(f905(f904(a898,a898),a894))))),f2(a1)) % 199.88/200.98 [4295]E(f317(f252(f904(a898,a898)),f317(f247(a898,a898,a894),f317(f317(f8(a898,f905(a898,a894),a898),f317(f7(a898,a898,a894),a314)),a102))),a307) % 199.88/200.98 [4267]E(f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(a102,f317(a102,f2(a898)))) % 199.88/200.98 [4270]E(f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(f317(f74(a898),f72(a898)),f72(a898))) % 199.88/200.98 [4271]E(f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),f317(f29(a894),f232(f905(a894,a894)))) % 199.88/200.98 [4334]P6(f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))) % 199.88/200.98 [4403]P26(f905(f904(a898,a898),a894),f317(f317(f242(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894),f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),a27),a64)) % 199.88/200.98 [4404]P26(f905(f904(a898,a898),a894),f317(f317(f242(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894),f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),a63),a66)) % 199.88/200.98 [4444]E(f317(f317(f91(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),f310(f904(a898,a898),a65)),f317(f317(f299(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f178(f905(f904(a898,a898),a894))),f178(f905(f904(a898,a898),a894)))),f178(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)))),a66) % 199.88/200.98 [4445]E(f317(f317(f91(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),f308(f904(a898,a898),a65)),f317(f317(f299(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f178(f905(f904(a898,a898),a894))),f178(f905(f904(a898,a898),a894)))),f178(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)))),a64) % 199.88/200.98 [4336]E(f317(a95,f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(a102,f2(a898)))) % 199.88/200.98 [4381]E(f317(f90(a1),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))) % 199.88/200.98 [4414]P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.98 [4415]E(f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)),f317(a102,f317(a102,f317(a102,f2(a898))))) % 199.88/200.98 [4459]P6(f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))) % 199.88/200.98 [4485]E(f317(f90(a1),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))) % 199.88/200.98 [4498]P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87)))) % 199.88/200.98 [3241]P7(x32411,a314) % 199.88/200.98 [3629]P24(a898,a898,a102,x36291) % 199.88/200.98 [3235]P106(f901(x32351)) % 199.88/200.98 [3236]P106(f899(x32361)) % 199.88/200.98 [3237]P106(f900(x32371)) % 199.88/200.98 [3257]P36(a1,f96(x32571)) % 199.88/200.98 [3258]P36(a1,f98(x32581)) % 199.88/200.98 [3309]P36(f905(x33091,a894),f304(x33091)) % 199.88/200.98 [3310]P37(f905(x33101,a894),f304(x33101)) % 199.88/200.98 [3334]E(f233(x33341,x33341,a314),a314) % 199.88/200.98 [3349]E(f40(a1,x33491,x33491),f2(a1)) % 199.88/200.98 [3402]P14(x34021,f905(x34021,a894),f299(x34021)) % 199.88/200.98 [4571]~E(f317(a102,x45711),x45711) % 199.88/200.98 [4577]~E(f317(a102,x45771),f2(a898)) % 199.88/200.98 [3243]E(f317(f94(a1),x32431),x32431) % 199.88/200.98 [3244]E(f317(f179(a898),x32441),x32441) % 199.88/200.98 [3259]E(f317(a83,f318(x32591)),x32591) % 199.88/200.98 [3260]E(f317(a3,f544(x32601)),x32601) % 199.88/200.98 [3261]E(f231(x32611,f2(a89)),f2(a89)) % 199.88/200.98 [3274]E(f104(x32741,f103(x32741)),f103(x32741)) % 199.88/200.98 [3275]E(f142(x32751,f103(x32751)),f103(x32751)) % 199.88/200.98 [3280]E(f317(f157(x32801),f103(x32801)),f103(x32801)) % 199.88/200.98 [3281]E(f317(f161(x32811),f103(x32811)),f103(x32811)) % 199.88/200.98 [3282]E(f317(f158(x32821),f103(x32821)),f103(x32821)) % 199.88/200.98 [3288]E(f317(f94(a1),x32881),f317(f93(a1),x32881)) % 199.88/200.98 [3289]E(f317(a83,f317(a97,x32891)),x32891) % 199.88/200.98 [3291]E(f317(a3,f317(a20,x32911)),x32911) % 199.88/200.98 [3292]E(f317(a20,f317(a3,x32921)),x32921) % 199.88/200.98 [3294]P6(f317(f90(a1),x32941)) % 199.88/200.98 [3303]E(f317(f179(f899(x33031)),f103(x33031)),f2(a898)) % 199.88/200.98 [3304]E(f317(f179(f900(x33041)),f109(x33041)),f2(a898)) % 199.88/200.98 [3325]E(f317(f317(f23(a898),x33251),f2(a898)),x33251) % 199.88/200.98 [3326]E(f317(f317(f74(a898),x33261),f2(a898)),x33261) % 199.88/200.98 [3327]E(f317(f317(f74(a1),x33271),f2(a1)),x33271) % 199.88/200.98 [3328]E(f317(f317(f75(a898),x33281),f72(a898)),x33281) % 199.88/200.98 [3329]E(f317(f317(f75(a1),x33291),f72(a1)),x33291) % 199.88/200.98 [3330]E(f317(f317(f224(a898),x33301),f2(a898)),x33301) % 199.88/200.98 [3331]E(f317(f317(f75(a898),x33311),f2(a898)),f2(a898)) % 199.88/200.98 [3332]E(f317(f317(f30(a1),x33321),f2(a1)),f2(a1)) % 199.88/200.98 [3333]E(f317(f317(f229(a898),x33331),f2(a898)),f2(a898)) % 199.88/200.98 [3340]E(f317(f162(x33401),f103(x33401)),f178(f905(x33401,a894))) % 199.88/200.98 [3344]P1(f317(f127(x33441),f103(x33441))) % 199.88/200.98 [3350]E(f317(f144(x33501,x33501),f5(x33501)),f25(f899(x33501))) % 199.88/200.98 [3351]E(f317(f144(x33511,x33511),f25(x33511)),f25(f899(x33511))) % 199.88/200.98 [3352]E(f40(a1,x33521,f2(a1)),x33521) % 199.88/200.98 [3353]E(f317(f225(a898),f317(a102,x33531)),f317(f226(a898),x33531)) % 199.88/200.98 [3354]E(f317(f272(a898),f317(a102,x33541)),f317(f291(a898),x33541)) % 199.88/200.98 [3355]E(f317(f273(a898),f317(a102,x33551)),f317(f294(a898),x33551)) % 199.88/200.98 [3357]E(f40(a1,f2(a1),x33571),f2(a1)) % 199.88/200.98 [3370]E(f317(f317(f74(a898),x33701),f72(a898)),f317(a102,x33701)) % 199.88/200.98 [3379]E(f317(f292(a898,x33791),f2(a898)),f178(f905(a898,a894))) % 199.88/200.98 [3391]E(f293(a898,f2(a898),x33911),f317(f291(a898),x33911)) % 199.88/200.98 [3435]E(f317(f317(f23(a898),f317(a102,x34351)),f72(a898)),x34351) % 199.88/200.98 [3447]E(f42(f2(a1),x34471),f317(f317(f242(a1,a1),f2(a1)),f2(a1))) % 199.88/200.98 [3494]P1(f317(f317(f226(a898),x34941),f317(a102,x34941))) % 199.88/200.98 [3506]P1(f317(f317(f226(a898),f2(a898)),f317(a102,x35061))) % 199.88/200.98 [3731]E(f85(x37311,x37311,f232(f905(x37311,a894)),f25(x37311)),f25(x37311)) % 199.88/200.98 [3788]E(f317(f317(f23(a89),f317(a3,f317(a102,f317(a20,x37881)))),f72(a89)),x37881) % 199.88/200.98 [3858]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),x38581))),f2(a1))) % 199.88/200.98 [4002]P1(f317(f317(f226(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40021)))),f2(a1))) % 199.88/200.98 [4585]~E(f232(f905(x45851,a894)),f178(f905(x45851,a894))) % 199.88/200.98 [4608]~P1(f317(f317(f226(a898),x46081),f2(a898))) % 199.88/200.98 [4619]~P1(f317(f317(f226(a1),f317(f90(a1),x46191)),f2(a1))) % 199.88/200.98 [3293]E(f110(x32931,f109(f900(x32931))),f109(x32931)) % 199.88/200.98 [3308]E(f169(x33081,f103(f899(x33081))),f103(f899(x33081))) % 199.88/200.98 [3311]E(f317(f317(f75(a1),a77),x33111),a77) % 199.88/200.98 [3312]E(f317(f317(f74(a1),a77),x33121),x33121) % 199.88/200.98 [3315]E(f317(a95,f317(f90(a1),x33151)),x33151) % 199.88/200.98 [3316]E(f317(f317(f23(a1),x33161),a77),x33161) % 199.88/200.98 [3317]E(f317(f317(f74(a1),x33171),a77),x33171) % 199.88/200.98 [3319]E(f317(f317(f23(a898),x33191),x33191),f2(a898)) % 199.88/200.98 [3323]E(f317(f29(a898),f317(f272(a898),x33231)),x33231) % 199.88/200.98 [3324]E(f317(f73(a1),f317(f73(a1),x33241)),x33241) % 199.88/200.98 [3335]E(f317(f317(f74(a898),f2(a898)),x33351),x33351) % 199.88/200.98 [3336]E(f317(f317(f74(a1),f2(a1)),x33361),x33361) % 199.88/200.98 [3337]E(f317(f317(f75(a898),f72(a898)),x33371),x33371) % 199.88/200.98 [3338]E(f317(f317(f75(a1),f72(a1)),x33381),x33381) % 199.88/200.98 [3339]E(f317(f317(f224(a898),f2(a898)),x33391),x33391) % 199.88/200.98 [3345]E(f317(f317(f23(a898),f2(a898)),x33451),f2(a898)) % 199.88/200.98 [3346]E(f317(f317(f75(a898),f2(a898)),x33461),f2(a898)) % 199.88/200.98 [3347]E(f317(f317(f30(a1),f2(a1)),x33471),f2(a1)) % 199.88/200.98 [3348]E(f317(f317(f229(a898),f2(a898)),x33481),f2(a898)) % 199.88/200.98 [3358]E(f118(x33581,f317(f73(a1),x33581)),f122(a1,x33581)) % 199.88/200.98 [3363]E(f317(f292(a898,f2(a898)),x33631),f317(f272(a898),x33631)) % 199.88/200.98 [3364]E(f317(f317(f75(a1),a87),x33641),f317(f73(a1),x33641)) % 199.88/200.98 [3372]E(f317(a95,f317(f94(a1),x33721)),f317(f94(a898),x33721)) % 199.88/200.98 [3373]E(f317(a20,f317(f94(a89),x33731)),f317(f94(a898),x33731)) % 199.88/200.98 [3374]E(f317(f29(a898),f317(f291(a898),x33741)),f317(a102,x33741)) % 199.88/200.98 [3383]E(f317(f317(f74(a898),f72(a898)),x33831),f317(a102,x33831)) % 199.88/200.98 [3387]E(f317(f70(a1),f317(f90(a1),x33871)),f317(f90(a1),x33871)) % 199.88/200.98 [3388]E(f317(f93(a1),f317(f90(a1),x33881)),f317(f90(a1),x33881)) % 199.88/200.98 [3392]E(f317(f29(x33921),f178(f905(x33921,a894))),f2(a898)) % 199.88/200.98 [3394]E(f317(f317(f30(a898),x33941),f317(a102,f2(a898))),x33941) % 199.88/200.98 [3403]E(f40(a898,x34031,f317(a102,f2(a898))),f2(a898)) % 199.88/200.98 [3404]E(f40(a1,x34041,f317(f94(a1),a87)),f2(a1)) % 199.88/200.98 [3419]E(f317(f317(f30(a1),x34191),f317(f94(a1),a87)),f317(f73(a1),x34191)) % 199.88/200.98 [3423]E(f129(a898,f317(f292(a898,x34231),f2(a898))),f103(a898)) % 199.88/200.98 [3424]E(f317(f317(f74(a1),x34241),f72(a1)),f317(f317(f23(a1),x34241),a87)) % 199.88/200.98 [3425]E(f317(f317(f23(a1),x34251),f72(a1)),f317(f317(f74(a1),x34251),a87)) % 199.88/200.98 [3429]P1(f317(f317(f225(a898),x34291),x34291)) % 199.88/200.98 [3430]P1(f317(f317(f225(a1),x34301),x34301)) % 199.88/200.98 [3431]P1(f317(f317(f277(a898),x34311),x34311)) % 199.88/200.98 [3436]E(f317(f73(a1),f317(f94(a1),x34361)),f317(f94(a1),f317(f73(a1),x34361))) % 199.88/200.98 [3437]P1(f317(f28(a898),f317(f272(a898),x34371))) % 199.88/200.98 [3438]P1(f317(f28(a898),f317(f291(a898),x34381))) % 199.88/200.98 [3445]E(f151(x34451,f232(f905(x34451,a894))),f232(f905(f899(x34451),a894))) % 199.88/200.98 [3450]P1(f317(f317(f225(a898),f2(a898)),x34501)) % 199.88/200.98 [3460]E(f317(f317(f74(a898),f101(x34601)),f317(a102,f2(a898))),f101(f317(a102,x34601))) % 199.88/200.98 [3461]E(f317(f252(x34611),f317(f16(a894,x34611),a223)),f178(f905(x34611,a894))) % 199.88/200.98 [3462]E(f317(f252(x34621),f317(f16(a894,x34621),a177)),f232(f905(x34621,a894))) % 199.88/200.98 [3465]E(f317(f317(f299(a898),x34651),f317(f272(a898),x34651)),f317(f272(a898),f317(a102,x34651))) % 199.88/200.98 [3477]E(f317(f317(f74(a1),f72(a1)),f317(f90(a1),x34771)),f317(f90(a1),f317(a102,x34771))) % 199.88/200.98 [3479]E(f317(f317(f141(f899(x34791)),f103(x34791)),f103(f899(x34791))),f49(x34791,f103(x34791))) % 199.88/200.98 [3497]E(f178(f905(f904(x34971,x34971),a894)),f253(x34971,f178(f905(x34971,a894)))) % 199.88/200.98 [3498]E(f317(f298(x34981),f232(f905(x34981,a894))),f232(f905(f905(x34981,a894),a894))) % 199.88/200.98 [3499]E(f317(f73(f905(x34991,a894)),f178(f905(x34991,a894))),f232(f905(x34991,a894))) % 199.88/200.98 [3500]E(f317(f73(f905(x35001,a894)),f232(f905(x35001,a894))),f178(f905(x35001,a894))) % 199.88/200.98 [3502]P1(f317(f28(x35021),f178(f905(x35021,a894)))) % 199.88/200.98 [3504]E(f317(f292(a898,x35041),f317(a102,x35041)),f317(f317(f299(a898),x35041),f178(f905(a898,a894)))) % 199.88/200.98 [3505]E(f79(f904(a898,a898),f43(x35051,f2(a898))),f317(f317(f242(a898,a898),f2(a898)),x35051)) % 199.88/200.98 [3518]E(f317(f317(f299(a898),f317(a102,x35181)),f317(f291(a898),x35181)),f317(f291(a898),f317(a102,x35181))) % 199.88/200.98 [3522]P36(x35221,f178(f905(f904(x35221,x35221),a894))) % 199.88/200.98 [3523]P38(x35231,f178(f905(f904(x35231,x35231),a894))) % 199.88/200.98 [3526]P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x35261))) % 199.88/200.98 [3533]E(f317(f317(f74(a898),f317(f179(a898),x35331)),f317(a102,f2(a898))),f317(f179(a898),f317(a102,x35331))) % 199.88/200.98 [3636]P39(f317(f300(a898,a1,f90(a1)),x36361)) % 199.88/200.98 [3674]P52(x36741,f178(f905(x36741,a894)),f178(f905(f904(x36741,x36741),a894))) % 199.88/200.98 [3692]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f23(a1),x36921),f72(a1))),f45(f317(f94(a1),a87),x36921)) % 199.88/200.98 [3744]P59(x37441,f317(f16(f905(x37441,a894),x37441),f317(f16(a894,x37441),a223))) % 199.88/200.98 [3756]E(f280(a898,f277(a898),x37561,x37561),f317(f317(f299(a898),x37561),f178(f905(a898,a894)))) % 199.88/200.98 [3945]P1(f317(f317(f319(f905(f904(a898,a898),a894)),f318(x39451)),a88)) % 199.88/200.98 [3970]P1(f317(f317(f319(f905(f904(a898,a898),a894)),f317(a97,x39701)),a88)) % 199.88/200.98 [4102]P24(x41021,f905(x41021,a894),f317(f317(f7(x41021,f905(x41021,a894),f905(x41021,a894)),f299(x41021)),f178(f905(x41021,a894))),f232(f905(x41021,a894))) % 199.88/200.98 [4582]~E(f317(f317(f74(a1),x45821),x45821),a87) % 199.88/200.98 [4595]~E(f317(a3,f317(a102,f317(a20,x45951))),f2(a89)) % 199.88/200.98 [4601]~P1(f317(a183,f317(f90(a1),x46011))) % 199.88/200.98 [4604]~P1(f317(f317(f226(a898),x46041),x46041)) % 199.88/200.98 [4612]~P1(f317(f317(f225(a898),f317(a102,x46121)),x46121)) % 199.88/200.98 [3452]E(f317(a95,f317(f73(a1),f317(f90(a1),x34521))),f2(a898)) % 199.88/200.98 [3455]E(f317(f317(f74(a1),f317(f73(a1),x34551)),x34551),f2(a1)) % 199.88/200.98 [3459]E(f317(f29(a1),f317(f292(a1,f2(a1)),x34591)),f317(a95,x34591)) % 199.88/200.98 [3470]E(f317(f317(f234(a898),f317(a102,f2(a898))),x34701),f317(a102,f2(a898))) % 199.88/200.98 [3563]E(f317(f271(x35631),f178(f905(f904(x35631,x35631),a894))),f178(f905(x35631,a894))) % 199.88/200.98 [3571]E(f32(f905(x35711,a894),f178(f905(f905(x35711,a894),a894))),f232(f905(x35711,a894))) % 199.88/200.98 [3572]E(f32(f905(x35721,a894),f232(f905(f905(x35721,a894),a894))),f178(f905(x35721,a894))) % 199.88/200.98 [3573]E(f31(f905(x35731,a894),f178(f905(f905(x35731,a894),a894))),f178(f905(x35731,a894))) % 199.88/200.98 [3574]E(f31(f905(x35741,a894),f232(f905(f905(x35741,a894),a894))),f232(f905(x35741,a894))) % 199.88/200.98 [3578]P1(f317(f317(f277(a898),f317(a102,f2(a898))),x35781)) % 199.88/200.98 [3619]E(f317(f317(f299(f899(x36191)),f103(x36191)),f178(f905(f899(x36191),a894))),f151(x36191,f178(f905(x36191,a894)))) % 199.88/200.98 [3620]E(f317(f317(f299(f899(x36201)),f103(x36201)),f178(f905(f899(x36201),a894))),f152(x36201,f103(f905(x36201,a894)))) % 199.88/200.98 [3658]E(f317(f317(f74(a898),f4(x36581)),f317(a102,f2(a898))),f4(f317(a3,f317(a102,f317(a20,x36581))))) % 199.88/200.98 [3683]E(f317(f29(a1),f317(f300(a898,a1,f90(a1)),x36831)),f317(f29(a898),x36831)) % 199.88/200.98 [3686]P1(f317(f317(f225(a898),x36861),f317(f317(f75(a898),x36861),x36861))) % 199.88/200.98 [3722]E(f317(f300(a1,a898,a95),f293(a1,f2(a1),f317(f90(a1),x37221))),f317(f291(a898),x37221)) % 199.88/200.98 [3739]E(f317(f317(f30(a898),f317(a102,f2(a898))),f317(f94(a898),x37391)),f317(a95,f317(f317(f30(a1),f72(a1)),f317(f94(a1),x37391)))) % 199.88/200.98 [3741]E(f317(f162(a898),f129(a898,f317(f292(a898,f2(a898)),f317(a102,x37411)))),f317(f291(a898),x37411)) % 199.88/200.98 [3742]E(f317(f317(f74(a898),f317(f179(a89),x37421)),f317(a102,f2(a898))),f317(f179(a89),f317(a3,f317(a102,f317(a20,x37421))))) % 199.88/200.98 [3762]P38(x37621,f297(x37621,f178(f905(f904(x37621,x37621),a894)))) % 199.88/200.98 [3763]P51(x37631,f297(x37631,f178(f905(f904(x37631,x37631),a894)))) % 199.88/200.98 [3764]E(f317(f300(a1,a898,a95),f317(f300(a898,a1,f90(a1)),x37641)),x37641) % 199.88/200.98 [3794]E(f317(f317(f299(a898),f2(a898)),f317(f300(a898,a898,a102),f317(f272(a898),x37941))),f317(f272(a898),f317(a102,x37941))) % 199.88/200.98 [3800]P54(x38001,x38001,f297(x38001,f178(f905(f904(x38001,x38001),a894)))) % 199.88/200.98 [3806]P1(f317(a183,f317(f73(a1),f317(f90(a1),f317(a102,x38061))))) % 199.88/200.98 [3816]E(f317(f317(f23(f905(a898,a894)),f317(f273(a898),x38161)),f317(f317(f299(a898),x38161),f178(f905(a898,a894)))),f317(f273(a898),f317(a102,x38161))) % 199.88/200.98 [3833]E(f317(f317(f74(a1),f317(f317(f23(a1),a77),x38331)),f317(f317(f23(a1),a77),x38331)),f317(f317(f23(a1),a77),f317(f317(f74(a1),x38331),x38331))) % 199.88/200.98 [3847]E(f317(f317(f299(f905(x38471,a894)),f178(f905(x38471,a894))),f178(f905(f905(x38471,a894),a894))),f317(f298(x38471),f178(f905(x38471,a894)))) % 199.88/200.98 [3875]E(f317(f317(f23(f905(a898,a894)),f317(f294(a898),x38751)),f317(f317(f299(a898),f317(a102,x38751)),f178(f905(a898,a894)))),f317(f294(a898),f317(a102,x38751))) % 199.88/200.98 [3983]E(f317(f94(a898),f317(f317(f74(a1),x39831),x39831)),f317(f317(f80(a898,a898),f317(f94(a898),x39831)),f317(f317(f18(a898,a898,a898),f74(a898)),f5(a898)))) % 199.88/200.98 [4356]P14(x43561,f905(x43561,a894),f317(f317(f8(f905(x43561,a894),f905(f905(x43561,a894),f905(x43561,a894)),x43561),f317(f7(f905(x43561,a894),f905(x43561,a894),f905(x43561,a894)),f23(f905(x43561,a894)))),f317(f317(f7(x43561,f905(x43561,a894),f905(x43561,a894)),f299(x43561)),f178(f905(x43561,a894))))) % 199.88/200.98 [4443]E(f317(f252(f904(a1,a1)),f317(f247(a1,a1,a894),f317(f317(f8(f905(a1,a894),f905(a1,a894),a1),f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),x44431)))),f226(a1)))),f98(x44431)) % 199.88/200.98 [4476]E(f317(f252(f904(a1,a1)),f317(f247(a1,a1,a894),f317(f317(f18(a1,f905(a1,a894),f905(a1,a894)),f317(f317(f8(f905(a894,a894),f905(f905(a1,a894),f905(a1,a894)),a1),f8(a894,a894,a1)),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),x44761)))),f226(a1)))),f96(x44761)) % 199.88/200.98 [4529]E(f317(f252(f904(f905(x45291,a894),f905(x45291,a894))),f317(f247(f905(x45291,a894),f905(x45291,a894),a894),f317(f317(f7(f905(x45291,a894),f905(f905(x45291,a894),a894),f905(f905(x45291,a894),a894)),f317(f317(f8(f905(f905(x45291,a894),f905(a894,a894)),f905(f905(f905(x45291,a894),a894),f905(f905(x45291,a894),a894)),f905(x45291,a894)),f18(f905(x45291,a894),a894,a894)),f317(f317(f8(f905(f905(x45291,a894),a894),f905(f905(x45291,a894),f905(a894,a894)),f905(x45291,a894)),f317(f8(a894,f905(a894,a894),f905(x45291,a894)),a315)),f226(f905(x45291,a894))))),f28(x45291)))),f304(x45291)) % 199.88/200.98 [4616]~P1(f317(f28(f899(x46161)),f232(f905(f899(x46161),a894)))) % 199.88/200.98 [4629]~P1(f317(f317(f225(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x46291))))) % 199.88/200.98 [3598]E(f317(f317(f23(a1),f317(f317(f74(a1),x35981),a87)),a87),x35981) % 199.88/200.98 [3612]E(f317(f162(a898),f129(a898,f317(f292(a898,f2(a898)),x36121))),f317(f272(a898),x36121)) % 199.88/200.98 [3854]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x38541)),x38541),f317(f317(f23(a1),f317(f317(f74(a1),x38541),x38541)),a87)) % 199.88/200.98 [3902]E(f317(f276(x39021,x39021),f297(x39021,f178(f905(f904(x39021,x39021),a894)))),f297(x39021,f178(f905(f904(x39021,x39021),a894)))) % 199.88/200.98 [3948]P1(f317(f317(f225(a898),x39481),f317(f317(f75(a898),x39481),f317(f317(f75(a898),x39481),x39481)))) % 199.88/200.98 [4219]P1(f317(f28(a898),f317(f252(a898),f317(f317(f7(a898,a898,a894),f225(a898)),x42191)))) % 199.88/200.98 [4220]P1(f317(f28(a898),f317(f252(a898),f317(f317(f7(a898,a898,a894),f226(a898)),x42201)))) % 199.88/200.98 [4492]E(f317(f252(f904(x44921,x44921)),f317(f317(f8(f905(x44921,a894),a894,f904(x44921,x44921)),f81(x44921)),f317(f317(f7(f904(x44921,x44921),f905(x44921,f904(x44921,x44921)),f905(x44921,a894)),f317(f317(f8(f905(f904(x44921,x44921),a894),f905(f905(x44921,f904(x44921,x44921)),f905(x44921,a894)),f904(x44921,x44921)),f8(f904(x44921,x44921),a894,x44921)),a314)),f317(f317(f18(x44921,x44921,f904(x44921,x44921)),f242(x44921,x44921)),f5(x44921))))),f297(x44921,f178(f905(f904(x44921,x44921),a894)))) % 199.88/200.98 [4618]~E(f317(f317(f23(a1),f317(f317(f74(a1),x46181),x46181)),a87),a77) % 199.88/200.98 [4620]~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46201)),x46201),f2(a1)) % 199.88/200.98 [3993]E(f317(f317(f74(a1),f317(f317(f23(a1),a87),x39931)),f317(f317(f23(a1),a87),x39931)),f317(f317(f23(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x39931),x39931)),a87))) % 199.88/200.98 [4110]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),a87),x41101)),f317(f317(f23(a1),a87),x41101))),a87),f317(f317(f23(a1),a87),f317(f317(f74(a1),x41101),x41101))) % 199.88/200.98 [4142]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x41421),a87)),f317(f317(f74(a1),x41421),a87))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x41421),x41421)),a87)) % 199.88/200.98 [4180]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),a87),x41801)),f317(f317(f23(a1),a87),x41801))),a87),f317(f317(f23(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x41801),x41801)),a87))) % 199.88/200.98 [4277]E(f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x42771),f2(a898))),f178(f905(f904(a898,a898),a894))))),f317(f90(a1),x42771)) % 199.88/200.98 [4287]E(f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),f322(x42871)),f401(x42871))),f178(f905(f904(a898,a898),a894))))),x42871) % 199.88/200.98 [4320]E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x43201)),f317(f300(a898,a1,f90(a1)),f317(f252(a898),f317(f317(f8(a1,a894,a898),x43201),f90(a1))))) % 199.88/200.98 [4364]P39(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x43641))) % 199.88/200.98 [4384]P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x43841),f178(f905(f904(a898,a898),a894)))),a66)) % 199.88/200.98 [4389]E(f317(f300(a1,a898,a95),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),f317(f317(f8(a898,a894,a1),x43891),a95)))),f317(f252(a898),x43891)) % 199.88/200.98 [4544]E(f302(a898,f317(f317(f34(f904(a898,a898),f905(a898,a894)),f317(a97,x45441)),f317(f247(a898,a898,f905(a898,a894)),f317(f317(f7(a898,f905(a898,a894),f905(a898,f905(a898,a894))),f317(f317(f8(f905(a898,f905(f905(a898,a894),f905(a898,a894))),f905(f905(a898,a894),f905(a898,f905(a898,a894))),a898),f7(a898,f905(a898,a894),f905(a898,a894))),f317(f317(f8(f905(a898,a898),f905(a898,f905(f905(a898,a894),f905(a898,a894))),a898),f317(f8(a898,f905(f905(a898,a894),f905(a898,a894)),a898),f299(a898))),f23(a898)))),f178(f905(a898,a894)))))),f317(a95,x45441)) % 199.88/200.98 [4038]E(f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x40381),x40381)),a87)),a87),f317(f317(f74(a1),x40381),x40381)) % 199.88/200.98 [4090]E(f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x40901),x40901)),a87)),a87),f317(f317(f74(a1),f317(f317(f23(a1),x40901),a87)),f317(f317(f23(a1),x40901),a87))) % 199.88/200.98 [4293]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f73(a1),x42931)),a87)),f317(f317(f74(a1),f317(f73(a1),x42931)),a87))),a87),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42931),x42931)),a87))) % 199.88/200.98 [4337]E(f317(f317(f74(a898),x43371),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(a102,x43371))) % 199.88/200.98 [4338]E(f317(f317(f75(a898),x43381),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f74(a898),x43381),x43381)) % 199.88/200.98 [4339]E(f317(f317(f30(a898),f317(f317(f74(a898),x43391),x43391)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x43391) % 199.88/200.98 [4417]E(f40(a898,f317(a102,f317(a102,x44171)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a898,x44171,f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.98 [4558]E(f317(a83,f317(f317(f34(f904(a898,a898),f905(f904(a898,a898),a894)),f317(a97,x45581)),f317(f247(a898,a898,f905(f904(a898,a898),a894)),f317(f317(f8(f905(a898,f905(f904(a898,a898),a894)),f905(a898,f905(f904(a898,a898),a894)),a898),f317(f8(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894),a898),f275(f904(a898,a898),f904(a898,a898),a99))),f317(f317(f7(a898,f905(f904(a898,a898),a894),f905(a898,f905(f904(a898,a898),a894))),f317(f317(f8(f905(a898,f905(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f905(f905(f904(a898,a898),a894),f905(a898,f905(f904(a898,a898),a894))),a898),f7(a898,f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f8(f905(a898,f904(a898,a898)),f905(a898,f905(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),a898),f317(f8(f904(a898,a898),f905(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a898),f299(f904(a898,a898)))),f317(f7(a898,a898,f904(a898,a898)),f242(a898,a898))))),f178(f905(f904(a898,a898),a894))))))),f317(f73(a1),x45581)) % 199.88/200.98 [4412]E(f317(f317(f74(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x44121),f317(a102,f317(a102,x44121))) % 199.88/200.98 [4413]E(f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x44131),f317(f317(f74(a898),x44131),x44131)) % 199.88/200.98 [4449]E(f317(f317(f30(a898),f317(a102,f317(a102,x44491))),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a102,f317(f317(f30(a898),x44491),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/200.98 [4499]E(f317(f317(f74(a898),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x44991),f317(a102,f317(a102,f317(a102,x44991)))) % 199.88/200.98 [4565]E(f317(f247(a1,a1,f904(a1,a1)),f317(f317(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f317(f317(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f317(f317(f8(f905(a1,f904(a1,a1)),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f317(f18(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f317(f317(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f317(f317(f8(a1,a894,a1),f317(f225(a1),f2(a1))),f317(f317(f7(a1,a1,a1),f23(a1)),x45651))))),f317(f317(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f317(f317(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f317(f317(f8(a1,f905(a1,f904(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f905(a1,a1),a1),f74(a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f72(a1))))),f317(f317(f7(a1,a1,a1),f23(a1)),x45651))))),f317(f317(f8(a1,f905(a1,f904(a1,a1)),a1),f242(a1,a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))),f38(x45651)) % 199.88/200.98 [3277]P106(f903(x32771,x32772)) % 199.88/200.98 [3278]P106(f902(x32781,x32782)) % 199.88/200.98 [3279]P106(f904(x32791,x32792)) % 199.88/200.98 [3297]P13(a1,f168(x32971,x32972)) % 199.88/200.98 [3298]P36(x32981,f143(x32981,x32982)) % 199.88/200.98 [3299]P37(x32991,f253(x32991,x32992)) % 199.88/200.98 [3300]P37(x33001,f297(x33001,x33002)) % 199.88/200.98 [3301]P38(x33011,f253(x33011,x33012)) % 199.88/200.98 [3302]P51(x33021,f253(x33021,x33022)) % 199.88/200.98 [3365]P30(x33651,x33652,f103(x33651)) % 199.88/200.98 [3398]P52(x33981,x33982,f253(x33981,x33982)) % 199.88/200.98 [3399]P54(x33991,x33991,f253(x33991,x33992)) % 199.88/200.98 [3661]P24(x36611,x36611,f5(x36611),x36612) % 199.88/200.98 [3662]P24(x36621,x36621,f25(x36621),x36622) % 199.88/200.98 [3670]P31(x36701,x36702,f103(x36701),f103(x36701)) % 199.88/200.98 [3677]P24(f899(x36771),f899(x36771),f158(x36771),x36772) % 199.88/200.98 [4080]P25(x40801,x40801,f25(x40801),x40802,x40802) % 199.88/200.98 [4590]~P32(x45901,x45902,f103(x45901)) % 199.88/200.98 [4591]~P34(x45911,x45912,f103(x45911)) % 199.88/200.98 [3263]E(f317(f5(x32631),x32632),x32632) % 199.88/200.98 [3264]E(f317(f252(x32641),x32642),x32642) % 199.88/200.98 [3266]E(f317(f25(x32661),x32662),x32662) % 199.88/200.98 [3276]E(f317(f181(x32761),x32762),f105(x32761)) % 199.88/200.98 [3295]E(f79(x32951,f317(a314,x32952)),x32952) % 199.88/200.98 [3296]E(f84(x32961,f317(a314,x32962)),x32962) % 199.88/200.98 [3318]E(f317(f115(x33181,x33182),f109(x33181)),f2(a898)) % 199.88/200.98 [3321]E(f317(f126(x33211,x33212),f103(x33211)),f103(x33211)) % 199.88/200.98 [3341]E(f297(x33411,f297(x33411,x33412)),f297(x33411,x33412)) % 199.88/200.98 [3342]E(f142(x33421,f142(x33421,x33422)),f142(x33421,x33422)) % 199.88/200.98 [3360]E(f317(f317(f124(x33601),x33602),f103(x33601)),x33602) % 199.88/200.98 [3366]E(f163(x33661,x33662,f103(x33661)),x33662) % 199.88/200.98 [3367]E(f163(x33671,f103(x33671),x33672),x33672) % 199.88/200.98 [3368]E(f106(x33681,f109(x33681),x33682),x33682) % 199.88/200.98 [3369]E(f159(x33691,f2(a898),x33692),f103(x33691)) % 199.88/200.98 [3375]E(f317(f317(f165(x33751),x33752),f103(x33751)),f103(x33751)) % 199.88/200.98 [3376]E(f317(f317(f128(x33761),x33762),f103(x33761)),f103(x33761)) % 199.88/200.98 [3378]E(f145(x33781,x33782,f103(x33781)),f2(a898)) % 199.88/200.98 [3380]E(f160(x33801,x33802,f103(x33801)),f103(x33801)) % 199.88/200.98 [3381]E(f167(x33811,x33812,f103(x33811)),f103(x33811)) % 199.88/200.98 [3382]E(f166(x33821,f103(x33821),x33822),f103(x33821)) % 199.88/200.98 [3386]E(f317(f162(x33861),f142(x33861,x33862)),f317(f162(x33861),x33862)) % 199.88/200.98 [3389]E(f317(f274(x33891,x33891),f253(x33891,x33892)),x33892) % 199.88/200.98 [3390]E(f317(f254(x33901,x33901),f253(x33901,x33902)),x33902) % 199.88/200.98 [3397]E(f317(f276(x33971,x33971),f253(x33971,x33972)),f253(x33971,x33972)) % 199.88/200.98 [3411]E(f297(f899(x34111),f147(x34111,x34112)),f148(x34111,f297(x34111,x34112))) % 199.88/200.98 [3413]P1(f317(f127(a1),f168(x34131,x34132))) % 199.88/200.98 [3421]E(f317(f274(x34211,x34211),f297(x34211,x34212)),f232(f905(x34211,a894))) % 199.88/200.98 [3422]E(f317(f254(x34221,x34221),f297(x34221,x34222)),f232(f905(x34221,a894))) % 199.88/200.98 [3426]P1(f317(f127(x34261),f142(x34261,x34262))) % 199.88/200.98 [3428]P1(f317(f150(x34281,x34282),f103(x34281))) % 199.88/200.98 [3434]E(f317(f162(a1),f168(x34341,x34342)),f293(a1,x34341,x34342)) % 199.88/200.98 [3448]P55(x34481,f178(f905(x34481,a894)),x34482) % 199.88/200.98 [3453]E(f317(f246(a1,a1),f41(x34531,x34532)),f40(a1,x34531,x34532)) % 199.88/200.98 [3454]E(f317(f292(a898,x34541),f317(a102,x34542)),f293(a898,x34541,x34542)) % 199.88/200.98 [3469]E(f317(f317(f141(x34691),x34692),f103(x34691)),f130(x34691,x34692,f103(x34691))) % 199.88/200.98 [3481]E(f293(a898,f317(a102,x34811),x34812),f295(a898,x34811,x34812)) % 199.88/200.98 [3482]P52(x34821,f232(f905(x34821,a894)),f297(x34821,x34822)) % 199.88/200.98 [3544]E(f317(f317(f23(a898),x35441),f317(a102,x35442)),f317(f29(a898),f296(a898,x35442,x35441))) % 199.88/200.98 [3599]E(f156(x35991,x35992,f103(x35991)),f317(f317(f242(f899(x35991),f899(x35991)),f103(x35991)),f103(x35991))) % 199.88/200.98 [3617]E(f317(f247(x36171,x36172,f904(x36171,x36172)),f242(x36171,x36172)),f25(f904(x36171,x36172))) % 199.88/200.98 [3621]P1(f317(f317(f319(f899(x36211)),f103(x36211)),f151(x36211,x36212))) % 199.88/200.98 [3622]E(f317(f179(f899(x36221)),f104(x36221,x36222)),f317(f317(f23(a898),f317(f179(f899(x36221)),x36222)),f72(a898))) % 199.88/200.98 [3630]P1(f317(f28(a898),f296(a898,x36301,x36302))) % 199.88/200.98 [3631]P1(f317(f28(a898),f295(a898,x36311,x36312))) % 199.88/200.98 [3632]P1(f317(f28(a898),f293(a898,x36321,x36322))) % 199.88/200.98 [3633]P1(f317(f28(a1),f296(a1,x36331,x36332))) % 199.88/200.98 [3634]P1(f317(f28(a1),f295(a1,x36341,x36342))) % 199.88/200.98 [3635]P1(f317(f28(a1),f293(a1,x36351,x36352))) % 199.88/200.98 [3738]E(f317(f300(a898,a898,a102),f293(a898,x37381,x37382)),f293(a898,f317(a102,x37381),f317(a102,x37382))) % 199.88/200.98 [3758]E(f317(f317(f279(x37581,x37581,x37581),f297(x37581,x37582)),f297(x37581,x37582)),f297(x37581,x37582)) % 199.88/200.98 [3792]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x37921),x37922)),f40(a1,x37921,x37922)),f41(x37921,x37922)) % 199.88/200.98 [3793]E(f317(f317(f242(a89,a89),f317(f317(f30(a89),x37931),x37932)),f40(a89,x37931,x37932)),f21(x37931,x37932)) % 199.88/200.98 [3820]E(f317(f317(f242(a898,a898),f317(f317(f30(a898),x38201),x38202)),f40(a898,x38201,x38202)),f79(f904(a898,a898),f43(x38201,x38202))) % 199.88/200.98 [3871]P1(f317(f317(f226(a898),f317(f317(f23(a898),x38711),x38712)),f317(a102,x38711))) % 199.88/200.98 [3919]P37(x39191,f317(f317(f279(x39191,x39191,x39191),x39192),f297(x39191,x39192))) % 199.88/200.98 [3969]E(f317(f317(f74(a1),f317(f317(f75(a1),x39691),f317(f317(f30(a1),x39692),x39691))),f40(a1,x39692,x39691)),x39692) % 199.88/200.98 [3974]E(f317(f317(f34(a898,f905(f904(f899(x39741),f899(x39741)),a894)),f232(f905(a898,a894))),f133(x39741,x39742)),f135(x39741,x39742)) % 199.88/200.98 [4196]P1(f317(f317(f319(f904(f899(x41961),f899(x41961))),f317(f317(f242(f899(x41961),f899(x41961)),f103(x41961)),f103(x41961))),f148(x41961,x41962))) % 199.88/200.98 [4305]E(f243(x43051,x43051,x43051,a314,f243(x43051,x43051,x43051,x43052,a314)),x43052) % 199.88/200.98 [4349]E(f248(x43491,x43491,x43492,x43492,f5(x43491),f5(x43492)),f25(f904(x43491,x43492))) % 199.88/200.98 [4351]E(f248(x43511,x43511,x43512,x43512,f25(x43511),f25(x43512)),f25(f904(x43511,x43512))) % 199.88/200.98 [3359]E(f317(f158(x33591),f317(f158(x33591),x33592)),x33592) % 199.88/200.98 [3361]E(f317(f317(f128(x33611),f2(a898)),x33612),x33612) % 199.88/200.98 [3377]E(f317(f317(f165(x33771),f2(a898)),x33772),f103(x33771)) % 199.88/200.98 [3384]E(f317(f317(f124(x33841),f103(x33841)),x33842),x33842) % 199.88/200.98 [3393]E(f31(f905(x33931,a894),f317(f298(x33931),x33932)),x33932) % 199.88/200.98 [3395]E(f317(f162(x33951),f317(f157(x33951),x33952)),f317(f162(x33951),x33952)) % 199.88/200.98 [3396]E(f317(f162(x33961),f317(f158(x33961),x33962)),f317(f162(x33961),x33962)) % 199.88/200.98 [3401]E(f317(f317(f23(a89),x34011),x34012),f317(f317(a24,x34011),x34012)) % 199.88/200.98 [3415]E(f317(f317(f74(a898),x34151),x34152),f317(f317(f74(a898),x34152),x34151)) % 199.88/200.98 [3416]E(f317(f317(f74(a1),x34161),x34162),f317(f317(f74(a1),x34162),x34161)) % 199.88/200.98 [3417]E(f317(f317(f75(a898),x34171),x34172),f317(f317(f75(a898),x34172),x34171)) % 199.88/200.98 [3418]E(f317(f317(f75(a1),x34181),x34182),f317(f317(f75(a1),x34182),x34181)) % 199.88/200.98 [3440]E(f317(f317(f173(x34401,x34401),f2(a898)),x34402),f25(x34401)) % 199.88/200.98 [3441]E(f317(f179(f899(x34411)),f317(f157(x34411),x34412)),f317(f179(f899(x34411)),x34412)) % 199.88/200.98 [3442]E(f317(f179(f899(x34421)),f317(f158(x34421),x34422)),f317(f179(f899(x34421)),x34422)) % 199.88/200.98 [3443]E(f166(x34431,x34432,f178(f905(a898,a894))),f103(x34431)) % 199.88/200.98 [3444]E(f317(f317(f144(x34441,x34441),f5(x34441)),x34442),x34442) % 199.88/200.98 [3446]E(f317(f241(a1,a1),f41(x34461,x34462)),f317(f317(f30(a1),x34461),x34462)) % 199.88/200.98 [3463]E(f317(f179(f899(x34631)),f142(x34631,x34632)),f317(f29(x34631),f317(f162(x34631),x34632))) % 199.88/200.98 [3464]E(f317(f271(x34641),f317(f276(x34641,x34641),x34642)),f317(f271(x34641),x34642)) % 199.88/200.98 [3468]P1(f317(f28(x34681),f317(f162(x34681),x34682))) % 199.88/200.98 [3476]E(f317(f317(f74(a1),x34761),f317(f73(a1),x34762)),f317(f317(f23(a1),x34761),x34762)) % 199.88/200.98 [3483]E(f317(f300(x34831,x34831,f5(x34831)),x34832),x34832) % 199.88/200.98 [3484]E(f317(f300(x34841,x34841,f25(x34841)),x34842),x34842) % 199.88/200.98 [3485]E(f317(f301(x34851,x34851,f5(x34851)),x34852),x34852) % 199.88/200.98 [3486]E(f317(f301(x34861,x34861,f25(x34861)),x34862),x34862) % 199.88/200.98 [3487]P1(f317(f232(f905(x34871,a894)),x34872)) % 199.88/200.98 [3489]E(f317(f29(a898),f317(f292(a898,x34891),x34892)),f317(f317(f23(a898),x34892),x34891)) % 199.88/200.98 [3490]E(f317(f292(a898,f317(a102,x34901)),x34902),f296(a898,x34901,x34902)) % 199.88/200.98 [3503]E(f317(f317(f299(x35031),x35032),f178(f905(x35031,a894))),f317(f252(x35031),f317(a314,x35032))) % 199.88/200.98 [3508]E(f297(x35081,f317(f276(x35081,x35081),x35082)),f317(f276(x35081,x35081),f297(x35081,x35082))) % 199.88/200.98 [3513]E(f317(f317(f74(a898),f317(a102,x35131)),x35132),f317(f317(f74(a898),x35131),f317(a102,x35132))) % 199.88/200.98 [3514]E(f317(f317(f23(a898),f317(a102,x35141)),f317(a102,x35142)),f317(f317(f23(a898),x35141),x35142)) % 199.88/200.98 [3520]E(f50(x35201,f2(a898),x35202),f317(f317(f141(f899(x35201)),f103(x35201)),f103(f899(x35201)))) % 199.88/200.98 [3521]E(f317(f29(a898),f295(a898,x35211,x35212)),f317(f317(f23(a898),x35212),x35211)) % 199.88/200.98 [3530]P36(x35301,f317(f317(f278(a898,x35301),a230),x35302)) % 199.88/200.98 [3532]P13(a898,f129(a898,f317(f292(a898,x35321),x35322))) % 199.88/200.98 [3534]P1(f317(f28(a898),f317(f292(a898,x35341),x35342))) % 199.88/200.98 [3535]P1(f317(f28(a1),f317(f292(a1,x35351),x35352))) % 199.88/200.98 [3538]E(f317(f276(f899(x35381),f899(x35381)),f147(x35381,x35382)),f147(x35381,f317(f276(x35381,x35381),x35382))) % 199.88/200.98 [3540]E(f317(f292(a1,x35401),f317(f317(f74(a1),x35402),f72(a1))),f293(a1,x35401,x35402)) % 199.88/200.98 [3543]E(f317(f317(f30(a1),f317(f73(a1),x35431)),f317(f73(a1),x35432)),f317(f317(f30(a1),x35431),x35432)) % 199.88/200.98 [3551]E(f317(f317(f173(f904(x35511,x35511),a894),f72(a898)),x35512),x35512) % 199.88/200.98 [3553]E(f317(f317(f23(f905(x35531,a894)),x35532),f178(f905(x35531,a894))),x35532) % 199.88/200.98 [3554]E(f317(f317(f91(f905(x35541,a894)),x35542),f178(f905(x35541,a894))),x35542) % 199.88/200.98 [3555]E(f317(f317(f92(f905(x35551,a894)),x35552),f232(f905(x35551,a894))),x35552) % 199.88/200.98 [3556]E(f317(f241(a898,a898),f79(f904(a898,a898),f43(x35561,x35562))),f317(f317(f30(a898),x35561),x35562)) % 199.88/200.98 [3562]E(f293(a1,f317(f317(f74(a1),x35621),f72(a1)),x35622),f295(a1,x35621,x35622)) % 199.88/200.98 [3567]E(f317(f246(a898,a898),f79(f904(a898,a898),f43(x35671,x35672))),f40(a898,x35671,x35672)) % 199.88/200.98 [3577]P1(f317(f317(f319(x35771),x35772),f232(f905(x35771,a894)))) % 199.88/200.98 [3582]E(f317(f317(f23(a898),f317(a102,x35821)),x35822),f317(f29(a898),f293(a898,x35822,x35821))) % 199.88/200.98 [3608]E(f317(f317(f23(f905(x36081,a894)),x36082),f232(f905(x36081,a894))),f178(f905(x36081,a894))) % 199.88/200.98 [3609]E(f317(f317(f91(f905(x36091,a894)),x36092),f232(f905(x36091,a894))),f232(f905(x36091,a894))) % 199.88/200.98 [3610]E(f317(f317(f92(f905(x36101,a894)),x36102),f178(f905(x36101,a894))),f178(f905(x36101,a894))) % 199.88/200.98 [3625]E(f40(a1,f317(f90(a1),x36251),f317(f90(a1),x36252)),f317(f90(a1),f40(a898,x36251,x36252))) % 199.88/200.98 [3626]E(f40(a1,f317(f73(a1),x36261),f317(f73(a1),x36262)),f317(f73(a1),f40(a1,x36261,x36262))) % 199.88/200.98 [3637]E(f317(f179(f899(x36371)),f317(f161(x36371),x36372)),f317(f317(f23(a898),f317(f179(f899(x36371)),x36372)),f72(a898))) % 199.88/200.98 [3663]E(f317(f317(f30(a1),f40(a1,x36631,x36632)),x36632),f2(a1)) % 199.88/200.98 [3672]E(f317(a3,f40(a898,f317(a20,x36721),f317(a20,x36722))),f40(a89,x36721,x36722)) % 199.88/200.98 [3705]E(f317(a3,f317(f317(f23(a898),f317(a20,x37051)),f317(a20,x37052))),f317(f317(f23(a89),x37051),x37052)) % 199.88/200.98 [3706]E(f317(a3,f317(f317(f74(a898),f317(a20,x37061)),f317(a20,x37062))),f317(f317(f74(a89),x37061),x37062)) % 199.88/200.98 [3707]E(f317(a3,f317(f317(f75(a898),f317(a20,x37071)),f317(a20,x37072))),f317(f317(f75(a89),x37071),x37072)) % 199.88/200.98 [3708]E(f317(a3,f317(f317(f30(a898),f317(a20,x37081)),f317(a20,x37082))),f317(f317(f30(a89),x37081),x37082)) % 199.88/200.98 [3716]E(f317(f300(a898,a898,a102),f317(f292(a898,x37161),x37162)),f317(f292(a898,f317(a102,x37161)),f317(a102,x37162))) % 199.88/200.98 [3743]P1(f317(f43(x37431,x37432),f79(f904(a898,a898),f43(x37431,x37432)))) % 199.88/200.98 [3767]E(f40(a898,f317(a102,f40(a898,x37671,x37672)),x37672),f40(a898,f317(a102,x37671),x37672)) % 199.88/200.98 [3779]E(f317(f317(f35(f905(x37791,a894),f905(x37791,a894)),x37792),f5(f905(x37791,a894))),f32(f905(x37791,a894),x37792)) % 199.88/200.98 [3780]E(f317(f317(f34(f905(x37801,a894),f905(x37801,a894)),x37802),f5(f905(x37801,a894))),f31(f905(x37801,a894),x37802)) % 199.88/200.98 [3781]E(f317(f300(f899(x37811),f905(x37811,a894),f162(x37811)),f317(f162(f899(x37811)),f49(x37811,x37812))),f317(f298(x37811),f317(f162(x37811),x37812))) % 199.88/200.98 [3785]P1(f317(f317(f319(f905(x37851,a894)),x37852),f317(f298(x37851),x37852))) % 199.88/200.98 [3791]E(f40(a1,f317(f73(a1),f40(a1,x37911,x37912)),x37912),f40(a1,f317(f73(a1),x37911),x37912)) % 199.88/200.98 [3802]P1(f317(f317(f225(f905(x38021,a894)),x38022),f232(f905(x38021,a894)))) % 199.88/200.98 [3804]E(f317(f317(f279(x38041,x38041,x38041),f297(x38041,x38042)),f297(x38041,f297(x38041,x38042))),f297(x38041,x38042)) % 199.88/200.98 [3805]E(f317(f317(f91(f905(x38051,a894)),f317(f254(x38051,x38051),x38052)),f317(f274(x38051,x38051),x38052)),f317(f271(x38051),x38052)) % 199.88/200.98 [3826]E(f303(x38261,x38262,f232(f905(x38261,a894)),f232(f905(x38262,a894))),f232(f905(f903(x38261,x38262),a894))) % 199.88/200.98 [3876]P1(f317(f317(f225(a898),f40(a898,x38761,x38762)),x38761)) % 199.88/200.98 [3900]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),x39001))),f317(f90(a1),x39002))) % 199.88/200.98 [3924]P1(f317(f317(f319(f905(x39241,a894)),f178(f905(x39241,a894))),f317(f298(x39241),x39242))) % 199.88/200.98 [3929]E(f297(x39291,f317(f317(f279(x39291,x39291,x39291),x39292),f297(x39291,x39292))),f297(x39291,x39292)) % 199.88/200.98 [3932]E(f317(f317(f279(x39321,x39321,x39321),f297(x39321,x39322)),x39322),f317(f317(f279(x39321,x39321,x39321),x39322),f297(x39321,x39322))) % 199.88/200.98 [3934]E(f317(a95,f317(f317(f74(a1),f317(f317(f23(a1),x39341),x39342)),f72(a1))),f317(f29(a1),f293(a1,x39342,x39341))) % 199.88/200.98 [3949]E(f317(f274(x39491,x39491),f317(f317(f279(x39491,x39491,x39491),x39492),f297(x39491,x39492))),f317(f274(x39491,x39491),x39492)) % 199.88/200.98 [3950]E(f317(f254(x39501,x39501),f317(f317(f279(x39501,x39501,x39501),x39502),f297(x39501,x39502))),f317(f254(x39501,x39501),x39502)) % 199.88/200.98 [3968]E(f317(f132(f899(x39681),f899(x39681),f124(x39681),f103(x39681)),f159(f899(x39681),x39682,f103(x39681))),f103(x39681)) % 199.88/200.98 [3978]P24(a898,a898,f317(f317(f7(a898,a898,a898),f74(a898)),x39781),x39782) % 199.88/200.98 [3980]P13(a898,f317(f158(a898),f317(f317(f144(f899(x39801),a898),f179(f899(x39801))),f169(x39801,x39802)))) % 199.88/200.98 [4010]P51(x40101,f317(f317(f91(f905(f904(x40101,x40101),a894)),x40102),f317(f276(x40101,x40101),x40102))) % 199.88/200.98 [4011]P51(x40111,f317(f317(f92(f905(f904(x40111,x40111),a894)),x40112),f317(f276(x40111,x40111),x40112))) % 199.88/200.98 [4022]P1(f317(f317(f226(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40221)))),f317(f90(a1),x40222))) % 199.88/200.98 [4069]E(f317(f132(f899(x40691),x40691,f317(f7(x40691,f899(x40691),f899(x40691)),f141(x40691)),f103(x40691)),x40692),f317(f158(x40691),x40692)) % 199.88/200.98 [4117]P1(f317(f317(f225(f905(f904(f899(x41171),f899(x41171)),a894)),f148(x41171,x41172)),f297(f899(x41171),f147(x41171,x41172)))) % 199.88/200.98 [4146]P1(f317(f43(x41461,x41462),f317(f317(f242(a898,a898),f317(f317(f30(a898),x41461),x41462)),f40(a898,x41461,x41462)))) % 199.88/200.98 [4158]P1(f317(f317(f225(f905(f904(f899(x41581),f899(x41581)),a894)),f147(x41581,f297(x41581,x41582))),f297(f899(x41581),f147(x41581,x41582)))) % 199.88/200.98 [4374]E(f317(f317(f249(f904(a89,a89),a89,f904(a89,a89),f904(x43741,f904(a89,a89))),f257(f317(f155(a89),f317(f317(f144(f904(a89,x43741),a89),f241(a89,x43741)),x43742)))),f317(f317(f8(x43741,f905(f904(a89,a89),f904(x43741,f904(a89,a89))),a89),f242(x43741,f904(a89,a89))),f258(x43741,x43742))),f256(x43741,x43742)) % 199.88/200.98 [4451]E(f213(a898,f904(x44511,f900(x44511)),f2(a898),f317(f247(x44511,f900(x44511),a898),f317(f16(f905(f900(x44511),a898),x44511),f317(f317(f7(f900(x44511),a898,a898),f317(f317(f8(a898,f905(a898,a898),f900(x44511)),f74(a898)),f179(f900(x44511)))),f72(a898)))),f317(f125(x44511),x44512)),f317(f179(f900(x44511)),x44512)) % 199.88/200.98 [4557]E(f317(f247(f905(f904(x45571,x45571),a894),f905(f904(x45571,x45571),a894),f905(f905(x45572,x45571),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894)))),f317(f317(f7(f905(f904(x45571,x45571),a894),f905(f905(f904(x45571,x45571),a894),f905(f905(x45572,x45571),f905(f904(x45572,x45572),a894))),f905(f905(f904(x45571,x45571),a894),f905(f905(x45572,x45571),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894))))),f317(f317(f8(f905(f905(f905(x45572,x45571),f905(f904(x45572,x45572),a894)),f905(f905(x45572,x45571),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894)))),f905(f905(f905(f904(x45571,x45571),a894),f905(f905(x45572,x45571),f905(f904(x45572,x45572),a894))),f905(f905(f904(x45571,x45571),a894),f905(f905(x45572,x45571),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894))))),f905(f904(x45571,x45571),a894)),f8(f905(f905(x45572,x45571),f905(f904(x45572,x45572),a894)),f905(f905(x45572,x45571),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894))),f905(f904(x45571,x45571),a894))),f317(f317(f8(f905(f905(x45572,x45571),f905(f905(f904(x45572,x45572),a894),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894)))),f905(f905(f905(x45572,x45571),f905(f904(x45572,x45572),a894)),f905(f905(x45572,x45571),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894)))),f905(f904(x45571,x45571),a894)),f18(f905(x45572,x45571),f905(f904(x45572,x45572),a894),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894)))),f317(f317(f8(f905(f905(x45572,x45571),f905(f904(x45572,x45572),a894)),f905(f905(x45572,x45571),f905(f905(f904(x45572,x45572),a894),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894)))),f905(f904(x45571,x45571),a894)),f317(f8(f905(f904(x45572,x45572),a894),f905(f905(f904(x45572,x45572),a894),f904(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894))),f905(x45572,x45571)),f242(f905(f904(x45572,x45572),a894),f905(f904(x45572,x45572),a894)))),f278(x45571,x45572))))),f278(x45571,x45572))),f68(x45571,x45572)) % 199.88/200.98 [4602]~E(f317(f298(x46021),x46022),f178(f905(f905(x46021,a894),a894))) % 199.88/200.98 [4611]~P1(f317(f317(f162(x46111),f103(x46111)),x46112)) % 199.88/200.98 [4615]~P1(f317(f317(f319(x46151),x46152),f178(f905(x46151,a894)))) % 199.88/200.98 [4624]~P1(f317(f317(f226(f905(x46241,a894)),x46242),f178(f905(x46241,a894)))) % 199.88/200.98 [3492]E(f317(f317(f23(a898),x34921),f317(f317(f74(a898),x34921),x34922)),f2(a898)) % 199.88/200.98 [3495]E(f317(f317(f91(f905(x34951,a894)),x34952),x34952),x34952) % 199.88/200.98 [3496]E(f317(f317(f92(f905(x34961,a894)),x34962),x34962),x34962) % 199.88/200.98 [3524]E(f317(f317(f23(f905(x35241,a894)),x35242),x35242),f178(f905(x35241,a894))) % 199.88/200.98 [3527]E(f317(f133(x35271,x35272),f2(a898)),f178(f905(f904(f899(x35271),f899(x35271)),a894))) % 199.88/200.98 [3528]E(f317(f317(f74(a898),x35281),f317(a102,x35282)),f317(a102,f317(f317(f74(a898),x35281),x35282))) % 199.88/200.98 [3539]E(f184(f317(f90(a1),x35391),f317(f90(a1),x35392)),f317(f90(a1),f317(f317(f23(a898),x35391),x35392))) % 199.88/200.98 [3542]E(f317(f317(f30(a1),f317(f73(a1),x35421)),x35422),f317(f317(f30(a1),x35421),f317(f73(a1),x35422))) % 199.88/200.98 [3546]E(f317(f29(a1),f317(f292(a1,x35461),x35462)),f317(a95,f317(f317(f23(a1),x35462),x35461))) % 199.88/200.98 [3549]E(f317(f317(f74(a898),f317(a102,x35491)),x35492),f317(a102,f317(f317(f74(a898),x35491),x35492))) % 199.88/200.98 [3552]E(f317(f73(f905(x35521,a894)),f317(f73(f905(x35521,a894)),x35522)),x35522) % 199.88/200.98 [3564]E(f169(x35641,f317(f317(f141(f899(x35641)),f103(x35641)),x35642)),f169(x35641,x35642)) % 199.88/200.98 [3568]E(f317(f317(f74(a898),x35681),f317(f317(f75(a898),x35681),x35682)),f317(f317(f75(a898),x35681),f317(a102,x35682))) % 199.88/200.98 [3575]E(f317(f317(a24,f317(a3,x35751)),f317(a3,x35752)),f317(a3,f317(f317(f23(a898),x35751),x35752))) % 199.88/200.98 [3590]E(f317(f317(f75(a1),f317(f73(a1),x35901)),x35902),f317(f73(a1),f317(f317(f75(a1),x35901),x35902))) % 199.88/200.98 [3592]E(f317(f317(f234(a1),f317(f90(a1),x35921)),x35922),f317(f90(a1),f317(f317(f234(a898),x35921),x35922))) % 199.88/200.98 [3593]E(f317(f317(f74(a89),f317(a3,x35931)),f317(a3,x35932)),f317(a3,f317(f317(f74(a898),x35931),x35932))) % 199.88/200.98 [3594]E(f317(f317(f75(a89),f317(a3,x35941)),f317(a3,x35942)),f317(a3,f317(f317(f75(a898),x35941),x35942))) % 199.88/200.98 [3595]E(f317(f317(f229(a898),f317(a102,x35951)),f317(a102,x35952)),f317(a102,f317(f317(f229(a898),x35951),x35952))) % 199.88/200.98 [3596]E(f317(f317(f224(a898),f317(a102,x35961)),f317(a102,x35962)),f317(a102,f317(f317(f224(a898),x35961),x35962))) % 199.88/200.98 [3601]E(f317(f162(a898),f129(a898,f317(f292(a898,x36011),x36012))),f317(f292(a898,x36011),x36012)) % 199.88/200.98 [3602]E(f302(x36021,f317(f317(f299(x36021),x36022),f178(f905(x36021,a894)))),x36022) % 199.88/200.98 [3606]E(f317(f274(x36061,x36062),f178(f905(f904(x36061,x36062),a894))),f178(f905(x36062,a894))) % 199.88/200.98 [3607]E(f317(f254(x36071,x36072),f178(f905(f904(x36071,x36072),a894))),f178(f905(x36071,a894))) % 199.88/200.98 [3611]E(f317(a95,f317(f317(f23(a1),x36111),x36112)),f317(f29(a1),f295(a1,x36112,x36111))) % 199.88/200.98 [3616]E(f317(f317(f74(a898),x36161),f317(f317(f75(a898),x36162),x36161)),f317(f317(f75(a898),f317(a102,x36162)),x36161)) % 199.88/200.98 [3618]E(f317(f317(f55(x36181),f178(f905(x36181,a894))),x36182),f178(f905(f905(x36181,a894),a894))) % 199.88/200.98 [3627]E(f317(f179(f899(a898)),f129(a898,f317(f292(a898,x36271),x36272))),f317(f317(f23(a898),x36272),x36271)) % 199.88/200.98 [3642]E(f317(f317(f91(f905(x36421,a894)),f178(f905(x36421,a894))),x36422),x36422) % 199.88/200.98 [3643]E(f317(f317(f92(f905(x36431,a894)),f232(f905(x36431,a894))),x36432),x36432) % 199.88/200.98 [3646]E(f317(f317(f74(a1),f317(f73(a1),x36461)),f317(f73(a1),x36462)),f317(f73(a1),f317(f317(f74(a1),x36461),x36462))) % 199.88/200.98 [3648]E(f317(f317(f74(a1),f317(f94(a1),x36481)),f317(f94(a1),x36482)),f317(f94(a1),f317(f317(f74(a1),x36481),x36482))) % 199.88/200.98 [3650]E(f317(f317(f74(a1),f317(f90(a1),x36501)),f317(f90(a1),x36502)),f317(f90(a1),f317(f317(f74(a898),x36501),x36502))) % 199.88/200.98 [3651]E(f317(f317(f75(a1),f317(f94(a1),x36511)),f317(f94(a1),x36512)),f317(f94(a1),f317(f317(f75(a1),x36511),x36512))) % 199.88/200.98 [3653]E(f317(f317(f75(a1),f317(f90(a1),x36531)),f317(f90(a1),x36532)),f317(f90(a1),f317(f317(f75(a898),x36531),x36532))) % 199.88/200.98 [3654]E(f317(f317(f30(a1),f317(f90(a1),x36541)),f317(f90(a1),x36542)),f317(f90(a1),f317(f317(f30(a898),x36541),x36542))) % 199.88/200.98 [3673]E(f317(f317(f6(x36731,a898),f317(f16(a898,x36731),f72(a898))),x36732),f317(f29(x36731),x36732)) % 199.88/200.98 [3678]E(f317(f73(a1),f40(a1,f317(f73(a1),x36781),x36782)),f40(a1,x36781,f317(f73(a1),x36782))) % 199.88/200.98 [3680]E(f317(f162(a1),f168(x36801,f317(f317(f23(a1),x36802),f72(a1)))),f317(f292(a1,x36801),x36802)) % 199.88/200.98 [3684]P1(f317(f317(f225(a898),x36841),f317(f317(f74(a898),x36842),x36841))) % 199.88/200.98 [3685]P1(f317(f317(f225(a898),x36851),f317(f317(f74(a898),x36851),x36852))) % 199.88/200.98 [3688]E(f317(f317(f23(f905(x36881,a894)),f178(f905(x36881,a894))),x36882),f178(f905(x36881,a894))) % 199.88/200.98 [3689]E(f317(f317(f91(f905(x36891,a894)),f232(f905(x36891,a894))),x36892),f232(f905(x36891,a894))) % 199.88/200.98 [3690]E(f317(f317(f92(f905(x36901,a894)),f178(f905(x36901,a894))),x36902),f178(f905(x36901,a894))) % 199.88/200.98 [3697]E(f317(f317(f242(a1,a1),x36971),f317(f73(a1),x36972)),f317(a46,f317(f317(f242(a1,a1),x36971),x36972))) % 199.88/200.98 [3698]E(f317(f292(a1,f317(f317(f74(a1),x36981),f72(a1))),x36982),f296(a1,x36981,x36982)) % 199.88/200.98 [3709]E(f317(f317(f75(a898),x37091),f317(f317(f30(a898),x37092),x37091)),f317(f317(f23(a898),x37092),f40(a898,x37092,x37091))) % 199.88/200.98 [3710]E(f317(f317(f75(a1),x37101),f317(f317(f30(a1),x37102),x37101)),f317(f317(f23(a1),x37102),f40(a1,x37102,x37101))) % 199.88/200.98 [3713]E(f317(f162(a1),f168(f317(f317(f74(a1),x37131),f72(a1)),x37132)),f295(a1,x37131,x37132)) % 199.88/200.98 [3717]P1(f317(f317(f225(f905(x37171,a894)),x37172),x37172)) % 199.88/200.98 [3720]E(f317(f317(f91(f905(x37201,a894)),x37202),f317(f73(f905(x37201,a894)),x37202)),f232(f905(x37201,a894))) % 199.88/200.98 [3721]E(f317(f317(f92(f905(x37211,a894)),x37212),f317(f73(f905(x37211,a894)),x37212)),f178(f905(x37211,a894))) % 199.88/200.98 [3729]E(f317(f317(f23(a898),f317(f317(f23(a898),x37291),f72(a898))),x37292),f317(f317(f23(a898),x37291),f317(a102,x37292))) % 199.88/200.98 [3735]E(f317(f317(f23(f905(x37351,a894)),f232(f905(x37351,a894))),x37352),f317(f73(f905(x37351,a894)),x37352)) % 199.88/200.98 [3736]E(f317(f317(f23(a1),f317(f94(a1),x37361)),f317(f94(a1),x37362)),f317(f94(a1),f317(f317(f74(a1),x37361),f317(f73(a1),x37362)))) % 199.88/200.98 [3749]E(f317(f162(a898),f129(a898,f317(f292(a898,x37491),f317(a102,x37492)))),f293(a898,x37491,x37492)) % 199.88/200.98 [3765]E(f317(f179(f899(f899(x37651))),f49(x37651,x37652)),f317(f317(f234(a898),f317(a102,f317(a102,f2(a898)))),f317(f179(f899(x37651)),x37652))) % 199.88/200.98 [3783]E(f317(f317(f173(f904(x37831,x37831),a894),f2(a898)),x37832),f297(x37831,f178(f905(f904(x37831,x37831),a894)))) % 199.88/200.98 [3787]P1(f317(f127(a898),f129(a898,f317(f292(a898,x37871),x37872)))) % 199.88/200.98 [3803]E(f317(f300(a1,a898,a95),f293(a1,f317(f90(a1),x38031),f317(f90(a1),x38032))),f293(a898,x38031,x38032)) % 199.88/200.98 [3812]E(f175(a898,f2(a898),f5(a898),f317(f317(f23(a898),x38121),x38122)),f317(f317(f23(a898),x38121),f317(a102,x38122))) % 199.88/200.98 [3813]E(f317(a95,f317(f317(f23(a1),x38131),f317(f317(f74(a1),x38132),f72(a1)))),f317(f29(a1),f296(a1,x38132,x38131))) % 199.88/200.98 [3848]E(f317(f317(f144(a898,a898),a102),f129(a898,f317(f292(a898,x38481),x38482))),f129(a898,f317(f292(a898,f317(a102,x38481)),f317(a102,x38482)))) % 199.88/200.98 [3856]E(f317(f162(a1),f168(f317(f317(f74(a1),x38561),f72(a1)),f317(f317(f23(a1),x38562),f72(a1)))),f296(a1,x38561,x38562)) % 199.88/200.98 [3868]P1(f317(f317(f225(f905(x38681,a894)),f178(f905(x38681,a894))),x38682)) % 199.88/200.98 [3872]E(f79(x38721,f317(f317(f7(x38721,x38721,a894),a314),x38722)),x38722) % 199.88/200.98 [3873]E(f84(x38731,f317(f317(f7(x38731,x38731,a894),a314),x38732)),x38732) % 199.88/200.98 [3877]E(f317(f162(a898),f129(a898,f317(f292(a898,f317(a102,x38771)),f317(a102,x38772)))),f295(a898,x38771,x38772)) % 199.88/200.98 [3903]E(f317(f317(f244(x39031,x39032),f232(f905(x39031,a894))),f317(f16(f905(x39032,a894),x39031),f232(f905(x39032,a894)))),f232(f905(f904(x39031,x39032),a894))) % 199.88/200.98 [3936]E(f317(f252(x39361),f317(f317(f8(a894,a894,x39361),a312),x39362)),f317(f73(f905(x39361,a894)),f317(f252(x39361),x39362))) % 199.88/200.98 [3939]E(f317(f252(x39391),f317(f317(f7(x39391,x39391,a894),a314),x39392)),f317(f317(f299(x39391),x39392),f178(f905(x39391,a894)))) % 199.88/200.98 [3946]E(f317(f317(f74(a1),f317(f317(f23(a1),x39461),x39462)),f317(f317(f23(a1),x39461),x39462)),f317(f317(f23(a1),f317(f317(f74(a1),x39461),x39461)),f317(f317(f74(a1),x39462),x39462))) % 199.88/200.98 [3947]E(f317(f317(f74(a1),f317(f317(f74(a1),x39471),x39471)),f317(f317(f74(a1),x39472),x39472)),f317(f317(f74(a1),f317(f317(f74(a1),x39471),x39472)),f317(f317(f74(a1),x39471),x39472))) % 199.88/200.98 [3963]P1(f317(f317(f225(a898),f317(f29(x39631),f317(f162(x39631),x39632))),f317(f179(f899(x39631)),x39632))) % 199.88/200.98 [3964]P1(f317(f317(f225(a898),f317(f179(f899(x39641)),f142(x39641,x39642))),f317(f179(f899(x39641)),x39642))) % 199.88/200.98 [3975]E(f317(f252(x39751),f317(f317(f7(x39751,f905(x39751,a894),a894),f319(x39751)),x39752)),x39752) % 199.88/200.98 [3989]E(f317(f317(f165(x39891),f317(f317(f23(a898),f317(f179(f899(x39891)),x39892)),f72(a898))),x39892),f104(x39891,x39892)) % 199.88/200.98 [4009]E(f175(a898,f2(a898),f317(f317(f8(a898,a898,a898),a102),f317(f229(a898),x40091)),x40092),f317(f317(f229(a898),f317(a102,x40091)),x40092)) % 199.88/200.98 [4014]E(f31(f905(x40141,a894),f317(f300(f905(f904(x40141,x40141),a894),f905(x40141,a894),f271(x40141)),x40142)),f317(f271(x40141),f31(f905(f904(x40141,x40141),a894),x40142))) % 199.88/200.98 [4015]E(f175(a898,f317(a102,x40151),f317(f317(f8(a898,a898,a898),a102),f317(f224(a898),x40151)),x40152),f317(f317(f224(a898),f317(a102,x40151)),x40152)) % 199.88/200.98 [4017]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),f317(f70(a1),x40171)),f317(f70(a1),x40172))),f40(a1,f317(f70(a1),x40171),f317(f70(a1),x40172))),f48(x40171,x40172)) % 199.88/200.98 [4041]P1(f317(f317(f225(f905(f905(x40411,a894),a894)),x40412),f317(f298(x40411),f31(f905(x40411,a894),x40412)))) % 199.88/200.98 [4074]E(f317(f317(f34(x40741,f905(x40741,a894)),x40742),f317(f317(f7(x40741,f905(x40741,a894),f905(x40741,a894)),f299(x40741)),f178(f905(x40741,a894)))),x40742) % 199.88/200.98 [4075]E(f317(f317(f279(x40751,x40751,x40751),f317(f276(x40751,x40751),x40752)),f297(x40751,f317(f276(x40751,x40751),x40752))),f317(f276(x40751,x40751),f317(f317(f279(x40751,x40751,x40751),x40752),f297(x40751,x40752)))) % 199.88/200.98 [4138]E(f317(f162(x41381),f317(f132(f899(x41381),f899(x41381),f124(x41381),f103(x41381)),x41382)),f317(f317(f34(f899(x41381),f905(x41381,a894)),f317(f162(f899(x41381)),x41382)),f162(x41381))) % 199.88/200.98 [4169]E(f317(f317(f91(f905(f904(x41691,x41691),a894)),f297(x41691,f178(f905(f904(x41691,x41691),a894)))),f317(f317(f279(x41691,x41691,x41691),f297(x41691,x41692)),x41692)),f297(x41691,x41692)) % 199.88/200.98 [4205]E(f317(f317(f171(x42051,x42051),x42052),x42052),f317(f317(f144(x42051,f904(x42051,x42051)),f317(f317(f18(x42051,x42051,f904(x42051,x42051)),f242(x42051,x42051)),f5(x42051))),x42052)) % 199.88/200.98 [4316]E(f317(f132(a898,f899(x43161),f317(f7(f899(x43161),a898,a898),f317(f317(f8(a898,f905(a898,a898),f899(x43161)),f224(a898)),f179(f899(x43161)))),f2(a898)),f317(f158(f899(x43161)),x43162)),f317(f179(f899(f899(x43161))),f169(x43161,x43162))) % 199.88/200.98 [4388]E(f317(f317(f278(f904(a898,f899(x43881)),f899(x43881)),f309(a898,f899(x43881),a230,f135(x43881,x43882))),f317(f317(f18(f899(x43881),f899(x43881),f904(a898,f899(x43881))),f317(f317(f8(a898,f905(f899(x43881),f904(a898,f899(x43881))),f899(x43881)),f242(a898,f899(x43881))),f179(f899(x43881)))),f5(f899(x43881)))),f136(x43881,x43882)) % 199.88/200.98 [4515]E(f317(f252(x45151),f317(f317(f8(f905(f905(x45151,a894),a894),a894,x45151),f82(f905(x45151,a894))),f317(f317(f8(f905(f905(x45151,a894),a894),f905(f905(x45151,a894),a894),x45151),f317(f18(f905(x45151,a894),a894,a894),f317(f317(f8(a894,f905(a894,a894),f905(x45151,a894)),a320),f317(f317(f7(f905(x45151,a894),f905(f905(x45151,a894),a894),a894),f319(f905(x45151,a894))),x45152)))),f319(x45151)))),f32(f905(x45151,a894),x45152)) % 199.88/200.98 [4516]E(f317(f252(x45161),f317(f317(f8(f905(f905(x45161,a894),a894),a894,x45161),f81(f905(x45161,a894))),f317(f317(f8(f905(f905(x45161,a894),a894),f905(f905(x45161,a894),a894),x45161),f317(f18(f905(x45161,a894),a894,a894),f317(f317(f8(a894,f905(a894,a894),f905(x45161,a894)),a315),f317(f317(f7(f905(x45161,a894),f905(f905(x45161,a894),a894),a894),f319(f905(x45161,a894))),x45162)))),f319(x45161)))),f31(f905(x45161,a894),x45162)) % 199.88/200.98 [4625]~P1(f317(f317(f226(a1),f317(f90(a1),x46251)),f317(f73(a1),f317(f90(a1),x46252)))) % 199.88/200.98 [3614]E(f317(f317(f23(a898),f317(f317(f74(a898),x36141),x36142)),x36142),x36141) % 199.88/200.98 [3615]E(f317(f317(f23(a898),f317(f317(f74(a898),x36151),x36152)),x36151),x36152) % 199.88/200.98 [3679]E(f317(f317(f74(a898),f317(f317(f23(a898),x36791),x36792)),x36792),f317(f317(f224(a898),x36791),x36792)) % 199.88/200.98 [3790]E(f317(f317(f75(a898),f317(f317(f30(a898),x37901),x37902)),x37902),f317(f317(f23(a898),x37901),f40(a898,x37901,x37902))) % 199.88/200.98 [3817]E(f317(f162(a898),f129(a898,f317(f292(a898,f317(a102,x38171)),x38172))),f296(a898,x38171,x38172)) % 199.88/200.98 [3825]E(f317(f90(a1),f206(f317(a95,f317(f70(a1),x38251)),f317(a95,f317(f70(a1),x38252)))),f317(f317(a207,x38251),x38252)) % 199.88/200.98 [3827]E(f317(f317(f91(f905(x38271,a894)),f317(f73(f905(x38271,a894)),x38272)),x38272),f232(f905(x38271,a894))) % 199.88/200.98 [3828]E(f317(f317(f92(f905(x38281,a894)),f317(f73(f905(x38281,a894)),x38282)),x38282),f178(f905(x38281,a894))) % 199.88/200.98 [3844]P1(f317(f317(f225(a898),f317(f317(f23(a898),x38441),x38442)),x38441)) % 199.88/200.98 [3845]P1(f317(f317(f225(a898),f317(f317(f30(a898),x38451),x38452)),x38451)) % 199.88/200.98 [3869]P1(f317(f317(f226(a898),x38691),f317(a102,f317(f317(f74(a898),x38692),x38691)))) % 199.88/200.98 [3870]P1(f317(f317(f226(a898),x38701),f317(a102,f317(f317(f74(a898),x38701),x38702)))) % 199.88/200.98 [3887]E(f317(f317(f75(a898),f317(a95,f317(f70(a1),x38871))),f317(a95,f317(f70(a1),x38872))),f317(a95,f317(f70(a1),f317(f317(f75(a1),x38871),x38872)))) % 199.88/200.98 [3899]P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x38991)),x38992))) % 199.88/200.98 [3967]E(f317(f275(f899(x39671),f899(x39671),f148(x39671,x39672)),f317(f317(f299(f899(x39671)),f103(x39671)),f178(f905(f899(x39671),a894)))),f317(f317(f299(f899(x39671)),f103(x39671)),f178(f905(f899(x39671),a894)))) % 199.88/200.98 [3987]E(f317(f317(f91(f905(f904(x39871,x39871),a894)),f297(x39871,x39872)),f297(x39871,f178(f905(f904(x39871,x39871),a894)))),f297(x39871,x39872)) % 199.88/200.98 [3999]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f74(a1),x39991),x39991))),f317(f94(a1),f317(f317(f74(a1),x39992),x39992))),f317(f317(f30(a1),f317(f94(a1),x39991)),f317(f94(a1),x39992))) % 199.88/200.98 [4064]E(f317(f317(f234(a1),x40641),f317(f94(a898),f317(f317(f74(a1),x40642),x40642))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x40641),f317(f94(a898),x40642))),f317(f317(f18(a1,a1,a1),f75(a1)),f5(a1)))) % 199.88/200.98 [4070]E(f317(f252(f905(x40701,a894)),f317(f317(f7(f905(x40701,a894),f905(x40701,a894),a894),f225(f905(x40701,a894))),x40702)),f317(f298(x40701),x40702)) % 199.88/200.98 [4086]E(f317(f317(f144(a1,a898),a95),f317(f317(f124(a1),f317(f317(f144(a898,a1),f90(a1)),x40861)),f317(f317(f144(a898,a1),f90(a1)),x40862))),f317(f317(f124(a898),x40861),x40862)) % 199.88/200.98 [4116]E(f317(f300(a1,a1,f317(f317(f7(a1,a1,a1),f74(a1)),x41161)),f317(f292(a1,f2(a1)),f317(f317(f23(a1),x41162),x41161))),f317(f292(a1,x41161),x41162)) % 199.88/200.98 [4118]P53(x41181,f317(f317(f23(f905(f904(x41181,x41181),a894)),x41182),f297(x41181,f178(f905(f904(x41181,x41181),a894))))) % 199.88/200.98 [4136]E(f317(f179(f899(x41361)),f317(f132(f899(x41361),f899(x41361),f124(x41361),f103(x41361)),x41362)),f317(f155(a898),f317(f317(f144(f899(x41361),a898),f179(f899(x41361))),x41362))) % 199.88/200.98 [4140]P52(x41401,f232(f905(x41401,a894)),f317(f317(f91(f905(f904(x41401,x41401),a894)),x41402),f297(x41401,f178(f905(f904(x41401,x41401),a894))))) % 199.88/200.98 [4185]E(f175(a898,f2(a898),f317(f317(f8(a898,a898,a898),a102),f317(f317(f7(a898,a898,a898),f229(a898)),x41851)),x41852),f317(f317(f229(a898),x41852),f317(a102,x41851))) % 199.88/200.98 [4188]E(f175(a898,f317(a102,x41881),f317(f317(f8(a898,a898,a898),a102),f317(f317(f7(a898,a898,a898),f224(a898)),x41881)),x41882),f317(f317(f224(a898),x41882),f317(a102,x41881))) % 199.88/200.98 [4191]E(f317(f300(x41911,f899(x41911),f317(f317(f7(x41911,f899(x41911),f899(x41911)),f141(x41911)),f103(x41911))),x41912),f164(x41911,x41912,f317(f317(f299(f899(x41911)),f103(x41911)),f178(f905(f899(x41911),a894))))) % 199.88/200.98 [4193]E(f317(f317(f91(f905(f904(x41931,x41931),a894)),f317(f317(f279(x41931,x41931,x41931),x41932),f297(x41931,x41932))),f297(x41931,f178(f905(f904(x41931,x41931),a894)))),f297(x41931,x41932)) % 199.88/200.98 [4200]P1(f317(f317(f225(f905(f904(x42001,x42001),a894)),f253(x42001,x42002)),f317(f317(f244(x42001,x42001),x42002),f317(f16(f905(x42001,a894),x42001),x42002)))) % 199.88/200.98 [4203]E(f317(f300(a1,a898,a95),f317(f317(f91(f905(a1,a894)),f317(f300(a898,a1,f90(a1)),x42031)),f317(f300(a898,a1,f90(a1)),x42032))),f317(f317(f91(f905(a898,a894)),x42031),x42032)) % 199.88/200.98 [4204]E(f317(f300(a1,a898,a95),f317(f317(f92(f905(a1,a894)),f317(f300(a898,a1,f90(a1)),x42041)),f317(f300(a898,a1,f90(a1)),x42042))),f317(f317(f92(f905(a898,a894)),x42041),x42042)) % 199.88/200.98 [4207]E(f317(f252(x42071),f317(f317(f8(a894,a894,x42071),a312),f317(f317(f7(x42071,f905(x42071,a894),a894),f319(x42071)),x42072))),f317(f73(f905(x42071,a894)),x42072)) % 199.88/200.98 [4234]E(f317(f132(f899(x42341),f899(x42341),f124(x42341),f103(x42341)),f317(f317(f144(f899(x42341),f899(x42341)),f158(x42341)),f317(f158(f899(x42341)),x42342))),f317(f158(x42341),f317(f132(f899(x42341),f899(x42341),f124(x42341),f103(x42341)),x42342))) % 199.88/200.98 [4260]E(f317(f317(f34(a898,f905(f904(x42601,x42601),a894)),f232(f905(a898,a894))),f317(f317(f7(a898,f905(f904(x42601,x42601),a894),f905(f904(x42601,x42601),a894)),f173(f904(x42601,x42601),a894)),x42602)),f297(x42601,x42602)) % 199.88/200.98 [4278]E(f79(x42781,f317(f317(f8(f905(x42781,a894),a894,x42781),f317(a314,x42782)),f317(f317(f7(x42781,f905(x42781,a894),f905(x42781,a894)),f299(x42781)),f178(f905(x42781,a894))))),f302(x42781,x42782)) % 199.88/200.98 [4286]E(f317(f179(f899(x42861)),f142(x42861,f317(f132(f899(x42861),f899(x42861),f124(x42861),f103(x42861)),x42862))),f317(f29(x42861),f317(f317(f34(f899(x42861),f905(x42861,a894)),f317(f162(f899(x42861)),x42862)),f162(x42861)))) % 199.88/200.98 [4300]E(f317(f317(f91(f905(f904(x43001,x43001),a894)),x43002),f317(f317(f279(x43001,x43001,x43001),f317(f317(f279(x43001,x43001,x43001),x43002),f297(x43001,x43002))),x43002)),f317(f317(f279(x43001,x43001,x43001),x43002),f297(x43001,x43002))) % 199.88/200.98 [4324]P1(f317(f317(f225(f905(f904(x43241,x43241),a894)),f317(f317(f279(x43241,x43241,x43241),x43242),f297(x43241,x43242))),f317(f317(f244(x43241,x43241),f317(f271(x43241),x43242)),f317(f16(f905(x43241,a894),x43241),f317(f271(x43241),x43242))))) % 199.88/200.98 [4365]E(f317(f252(f899(x43651)),f317(f317(f7(f899(x43651),f905(x43651,a894),a894),f317(f317(f8(f905(x43651,a894),f905(f905(x43651,a894),a894),f899(x43651)),f225(f905(x43651,a894))),f162(x43651))),x43652)),f151(x43651,x43652)) % 199.88/200.98 [4376]E(f317(f146(f899(x43761),x43761,f103(x43761),f317(f317(f8(f899(x43761),f905(f899(x43761),f899(x43761)),x43761),f317(f7(f899(x43761),f899(x43761),f899(x43761)),f124(x43761))),f317(f317(f7(x43761,f899(x43761),f899(x43761)),f141(x43761)),f103(x43761)))),x43762),f317(f157(x43761),x43762)) % 199.88/200.98 [4416]P24(f905(x44161,x44162),f905(f904(x44161,x44162),a894),f317(f317(f8(f905(f904(x44161,x44162),a894),f905(f904(x44161,x44162),a894),f905(x44161,x44162)),f252(f904(x44161,x44162))),f317(f317(f8(f905(x44161,f905(x44162,a894)),f905(f904(x44161,x44162),a894),f905(x44161,x44162)),f247(x44161,x44162,a894)),f317(f8(x44162,f905(x44162,a894),x44161),f317(f7(x44162,x44162,a894),a314)))),f232(f905(f905(x44161,x44162),a894))) % 199.88/200.98 [4421]E(f40(a1,f317(f94(a1),f317(f317(f74(a1),x44211),x44211)),f317(f94(a1),f317(f317(f74(a1),x44212),x44212))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f94(a1),x44211),f317(f94(a1),x44212)))) % 199.88/200.98 [4465]E(f317(f317(f34(x44651,f905(f904(x44651,x44651),a894)),x44652),f317(f317(f7(x44651,f905(f904(x44651,x44651),a894),f905(f904(x44651,x44651),a894)),f317(f317(f8(f904(x44651,x44651),f905(f905(f904(x44651,x44651),a894),f905(f904(x44651,x44651),a894)),x44651),f299(f904(x44651,x44651))),f317(f317(f18(x44651,x44651,f904(x44651,x44651)),f242(x44651,x44651)),f5(x44651)))),f178(f905(f904(x44651,x44651),a894)))),f253(x44651,x44652)) % 199.88/200.98 [4473]E(f192(x44731,f317(f317(f242(a1,a1),f317(f73(a1),f317(f317(f67(f904(a1,a1),a1,x44731,f241(a1,a1)),f202(x44731)),x44732))),f317(f317(f67(f904(a1,a1),a1,x44731,f246(a1,a1)),f202(x44731)),x44732))),f217(x44731,x44732)) % 199.88/200.98 [4554]E(f317(f252(f905(x45541,a894)),f317(f317(f8(f905(f905(x45541,a894),a894),a894,f905(x45541,a894)),f81(f905(x45541,a894))),f317(f317(f7(f905(x45541,a894),f905(f905(x45541,a894),a894),f905(f905(x45541,a894),a894)),f317(f317(f8(f905(f905(x45541,a894),f905(a894,a894)),f905(f905(f905(x45541,a894),a894),f905(f905(x45541,a894),a894)),f905(x45541,a894)),f18(f905(x45541,a894),a894,a894)),f317(f317(f8(f905(f905(x45541,a894),a894),f905(f905(x45541,a894),f905(a894,a894)),f905(x45541,a894)),f317(f8(a894,f905(a894,a894),f905(x45541,a894)),a315)),f317(f317(f7(f905(x45541,a894),f905(f905(x45541,a894),f905(x45541,a894)),f905(f905(x45541,a894),a894)),f317(f317(f8(f905(f905(x45541,a894),a894),f905(f905(f905(x45541,a894),f905(x45541,a894)),f905(f905(x45541,a894),a894)),f905(x45541,a894)),f8(f905(x45541,a894),a894,f905(x45541,a894))),a314)),f73(f905(x45541,a894)))))),f317(f317(f8(f905(f905(x45541,a894),a894),a894,f905(x45541,a894)),f317(f319(f905(x45541,a894)),x45542)),f298(x45541))))),f317(f298(x45541),f317(f73(f905(x45541,a894)),x45542))) % 199.88/200.98 [4622]~E(f317(f317(f74(a1),x46221),x46221),f317(f317(f23(a1),f317(f317(f74(a1),x46222),x46222)),a87)) % 199.88/200.98 [4627]~P1(f317(f317(f226(a898),f317(f317(f74(a898),x46271),x46272)),x46272)) % 199.88/200.98 [4628]~P1(f317(f317(f226(a898),f317(f317(f74(a898),x46281),x46282)),x46281)) % 199.88/200.98 [3904]E(f317(f317(f23(a898),x39041),f317(f317(f75(a898),f317(f317(f30(a898),x39041),x39042)),x39042)),f40(a898,x39041,x39042)) % 199.88/200.98 [3905]E(f317(f317(f23(a1),x39051),f317(f317(f75(a1),f317(f317(f30(a1),x39051),x39052)),x39052)),f40(a1,x39051,x39052)) % 199.88/200.98 [3937]E(f317(f317(f144(a898,x39371),f317(f154(x39371),x39372)),f129(a898,f317(f292(a898,f2(a898)),f317(f179(f899(x39371)),x39372)))),x39372) % 199.88/200.98 [3995]E(f317(f275(x39951,x39951,f297(x39951,f178(f905(f904(x39951,x39951),a894)))),x39952),x39952) % 199.88/200.98 [4121]E(f297(x41211,f317(f317(f23(f905(f904(x41211,x41211),a894)),x41212),f297(x41211,f178(f905(f904(x41211,x41211),a894))))),f297(x41211,x41212)) % 199.88/200.98 [4122]E(f297(x41221,f317(f317(f91(f905(f904(x41221,x41221),a894)),x41222),f297(x41221,f178(f905(f904(x41221,x41221),a894))))),f297(x41221,x41222)) % 199.88/200.98 [4172]E(f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x41721),x41721)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x41722),x41722)),a87)),f317(f317(f74(a1),f317(f317(f23(a1),x41721),x41722)),f317(f317(f23(a1),x41721),x41722))) % 199.88/200.98 [4212]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42121),x42122)),f317(f317(f74(a1),x42121),x42122))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x42121),x42121)),f317(f317(f23(a1),f317(f317(f74(a1),x42122),x42122)),a87))) % 199.88/200.98 [4237]E(f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42371),x42371)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x42372),x42372)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),x42371),f317(f317(f23(a1),x42372),a87))),f317(f317(f74(a1),x42371),f317(f317(f23(a1),x42372),a87)))) % 199.88/200.98 [4248]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),x42481),x42482)),f317(f317(f23(a1),x42481),x42482))),a87),f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42481),x42481)),a87)),f317(f317(f74(a1),x42482),x42482))) % 199.88/200.98 [4249]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42491),x42492)),f317(f317(f74(a1),x42491),x42492))),a87),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42491),x42491)),a87)),f317(f317(f74(a1),x42492),x42492))) % 199.88/200.98 [4297]E(f317(f90(a1),f317(f317(f30(a898),f317(f317(f75(a898),f317(a95,f317(f70(a1),x42971))),f317(a95,f317(f70(a1),x42972)))),f206(f317(a95,f317(f70(a1),x42971)),f317(a95,f317(f70(a1),x42972))))),f208(x42971,x42972)) % 199.88/200.98 [4342]E(f317(f317(f249(f904(a89,a89),a89,f904(a89,a89),f904(x43421,f904(a89,a89))),f257(f317(a3,f317(f179(f899(x43421)),x43422)))),f317(f317(f8(x43421,f905(f904(a89,a89),f904(x43421,f904(a89,a89))),a89),f242(x43421,f904(a89,a89))),f317(f317(f8(a898,x43421,a89),f317(f154(x43421),x43422)),a20))),f265(x43421,x43422)) % 199.88/200.98 [4422]E(f317(f132(a898,f899(x44221),f317(f7(f899(x44221),a898,a898),f317(f317(f8(a898,f905(a898,a898),f899(x44221)),f224(a898)),f179(f899(x44221)))),f2(a898)),f317(f158(f899(x44221)),f169(x44221,x44222))),f317(f179(f899(f899(x44221))),f317(f126(f899(x44221),f317(f317(f8(a894,a894,f899(x44221)),a312),f317(f317(f7(f899(x44221),f899(x44221),a894),a314),f103(x44221)))),x44222))) % 199.88/200.98 [4428]E(f317(f317(f34(a898,f905(x44281,a894)),f232(f905(a898,a894))),f317(f317(f7(a898,f905(a898,f905(x44281,a894)),f905(x44281,a894)),f317(f317(f8(f905(a898,a894),f905(f905(a898,f905(x44281,a894)),f905(x44281,a894)),a898),f34(a898,f905(x44281,a894))),f292(a898,f2(a898)))),x44282)),f317(f317(f34(a898,f905(x44281,a894)),f232(f905(a898,a894))),x44282)) % 199.88/200.98 [4450]P1(f317(f28(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),x44501)),f317(f317(f7(a898,a898,a894),f226(a898)),x44502))))) % 199.88/200.98 [4562]E(f317(f252(f904(f899(x45621),f899(x45621))),f317(f247(f899(x45621),f899(x45621),a894),f317(f317(f18(f899(x45621),f905(f899(x45621),a894),f905(f899(x45621),a894)),f317(f317(f8(f905(f899(x45621),f905(a894,a894)),f905(f905(f899(x45621),a894),f905(f899(x45621),a894)),f899(x45621)),f18(f899(x45621),a894,a894)),f317(f317(f8(f905(f899(x45621),a894),f905(f899(x45621),f905(a894,a894)),f899(x45621)),f317(f8(a894,f905(a894,a894),f899(x45621)),a316)),f317(f317(f7(f899(x45621),f905(f899(x45621),a898),f905(f899(x45621),a894)),f317(f317(f8(f905(a898,a894),f905(f905(f899(x45621),a898),f905(f899(x45621),a894)),f899(x45621)),f8(a898,a894,f899(x45621))),f317(f317(f8(a898,f905(a898,a894),f899(x45621)),f226(a898)),f179(f899(x45621))))),f179(f899(x45621)))))),f317(f317(f18(f899(x45621),f905(f899(x45621),a894),f905(f899(x45621),a894)),f317(f317(f8(f905(f899(x45621),f905(a894,a894)),f905(f905(f899(x45621),a894),f905(f899(x45621),a894)),f899(x45621)),f18(f899(x45621),a894,a894)),f317(f317(f8(f905(f899(x45621),a894),f905(f899(x45621),f905(a894,a894)),f899(x45621)),f317(f8(a894,f905(a894,a894),f899(x45621)),a315)),f317(f317(f7(f899(x45621),f905(f899(x45621),a898),f905(f899(x45621),a894)),f317(f317(f8(f905(a898,a894),f905(f905(f899(x45621),a898),f905(f899(x45621),a894)),f899(x45621)),f8(a898,a894,f899(x45621))),f317(f317(f8(a898,f905(a898,a894),f899(x45621)),a314),f179(f899(x45621))))),f179(f899(x45621)))))),f317(f317(f7(f899(x45621),f905(f904(f899(x45621),f899(x45621)),a894),f905(f899(x45621),a894)),f317(f317(f8(f905(f899(x45621),f905(f905(f904(f899(x45621),f899(x45621)),a894),a894)),f905(f905(f904(f899(x45621),f899(x45621)),a894),f905(f899(x45621),a894)),f899(x45621)),f7(f899(x45621),f905(f904(f899(x45621),f899(x45621)),a894),a894)),f317(f317(f8(f905(f899(x45621),f904(f899(x45621),f899(x45621))),f905(f899(x45621),f905(f905(f904(f899(x45621),f899(x45621)),a894),a894)),f899(x45621)),f317(f8(f904(f899(x45621),f899(x45621)),f905(f905(f904(f899(x45621),f899(x45621)),a894),a894),f899(x45621)),f319(f904(f899(x45621),f899(x45621))))),f242(f899(x45621),f899(x45621))))),f135(x45621,x45622)))))),f136(x45621,x45622)) % 199.88/200.98 [4240]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42401),x42402)),f317(f317(f75(a1),x42401),x42402))),x42402),f317(f317(f75(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42401),x42401)),a87)),x42402)) % 199.88/200.98 [4341]E(f317(a95,f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x43411),x43412)),f178(f905(f904(a898,a898),a894)))))),f317(f317(f23(a898),x43411),x43412)) % 199.88/200.98 [4345]E(f317(f317(f279(x43451,x43451,x43451),f317(f317(f91(f905(f904(x43451,x43451),a894)),x43452),f297(x43451,f178(f905(f904(x43451,x43451),a894))))),f297(x43451,f317(f317(f91(f905(f904(x43451,x43451),a894)),x43452),f297(x43451,f178(f905(f904(x43451,x43451),a894)))))),f297(x43451,x43452)) % 199.88/200.98 [4382]E(f258(x43821,f317(f126(f904(a89,x43821),f317(f247(a89,x43821,a894),f317(f317(f8(a894,f905(x43821,a894),a89),f16(a894,x43821)),f317(f226(a89),f2(a89))))),x43822)),f258(x43821,x43822)) % 199.88/200.98 [4383]E(f256(x43831,f317(f126(f904(a89,x43831),f317(f247(a89,x43831,a894),f317(f317(f8(a894,f905(x43831,a894),a89),f16(a894,x43831)),f317(f226(a89),f2(a89))))),x43832)),f256(x43831,x43832)) % 199.88/200.98 [4385]E(f317(f73(a1),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x43851),x43852)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x43852),x43851)),f178(f905(f904(a898,a898),a894)))))) % 199.88/200.98 [4441]E(f317(f317(f278(f899(a898),x44411),f135(a898,a230)),f317(f317(f7(x44411,f899(f905(x44411,a898)),f899(a898)),f317(f317(f8(f905(f905(x44411,a898),a898),f905(f899(f905(x44411,a898)),f899(a898)),x44411),f144(f905(x44411,a898),a898)),f317(f7(f905(x44411,a898),x44411,a898),f5(f905(x44411,a898))))),x44412)),f143(x44411,x44412)) % 199.88/200.98 [4462]E(f317(f317(f80(a1,a898),f317(f94(a1),f317(f317(f74(a1),x44621),a87))),f317(f317(f18(a1,a898,a898),f317(f317(f7(a1,a898,f905(a898,a898)),f317(f317(f8(a894,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),f317(f317(f8(a898,a898,a1),a102),f317(f317(f8(a898,a898,a1),f317(f229(a898),x44622)),a95)))),f317(f317(f229(a898),f317(a102,x44622)),f317(f94(a898),x44621))) % 199.88/200.98 [4463]E(f317(f317(f80(a1,a898),f317(f94(a1),f317(f317(f74(a1),x44631),a87))),f317(f317(f18(a1,a898,a898),f317(f317(f7(a1,a898,f905(a898,a898)),f317(f317(f8(a894,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f317(a102,x44632))),f317(f317(f8(a898,a898,a1),a102),f317(f317(f8(a898,a898,a1),f317(f224(a898),x44632)),a95)))),f317(f317(f224(a898),f317(a102,x44632)),f317(f94(a898),x44631))) % 199.88/200.98 [4483]E(f317(f132(f899(x44831),f899(x44831),f124(x44831),f103(x44831)),f317(f317(f144(f899(x44831),f899(x44831)),f146(f899(x44831),x44831,f103(x44831),f317(f317(f8(f899(x44831),f905(f899(x44831),f899(x44831)),x44831),f16(f899(x44831),f899(x44831))),f317(f317(f7(x44831,f899(x44831),f899(x44831)),f141(x44831)),f103(x44831))))),x44832)),f317(f317(f144(f899(x44831),x44831),f131(x44831)),f317(f126(f899(x44831),f317(f317(f8(a894,a894,f899(x44831)),a312),f317(f317(f7(f899(x44831),f899(x44831),a894),a314),f103(x44831)))),x44832))) % 199.88/200.98 [4545]E(f317(f247(a1,a1,a894),f317(f317(f7(a1,f905(a1,a894),f905(a1,a894)),f317(f317(f8(f905(a1,f905(a894,a894)),f905(f905(a1,a894),f905(a1,a894)),a1),f18(a1,a894,a894)),f317(f317(f8(f905(a1,a894),f905(a1,f905(a894,a894)),a1),f317(f8(a894,f905(a894,a894),a1),a315)),f317(f317(f8(f905(a1,a1),f905(a1,a894),a1),f317(f8(a1,a894,a1),f317(a314,x45451))),f317(f317(f8(a1,f905(a1,a1),a1),f74(a1)),f317(f75(a1),x45452)))))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),f317(a320,f317(f317(f226(a1),f2(a1)),x45452))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),f317(f317(f7(a1,a1,a894),f226(a1)),x45452))))),f317(f317(f8(a894,a894,a1),f317(a320,f317(a312,f317(f317(f226(a1),f2(a1)),x45452)))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f226(a1),x45452))),f317(f317(f7(a1,a1,a894),f225(a1)),f2(a1))))))),f44(x45451,x45452)) % 199.88/200.98 [4548]E(f317(f252(x45481),f317(f317(f8(f905(a898,a894),a894,x45481),f81(a898)),f317(f317(f7(x45481,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),x45481),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),x45481),f317(f8(a894,f905(a894,a894),a898),a315)),f317(f317(f7(x45481,f905(a898,x45481),f905(a898,a894)),f317(f317(f8(f905(x45481,a894),f905(f905(a898,x45481),f905(a898,a894)),x45481),f8(x45481,a894,a898)),a314)),f317(f154(x45481),x45482))))),f317(f317(f7(a898,a898,a894),f226(a898)),f317(f179(f899(x45481)),x45482))))),f317(f162(x45481),x45482)) % 199.88/200.98 [4355]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x43551),a87)),x43552)),f317(f317(f23(a1),f317(f317(f74(a1),x43551),a87)),x43552))),a87),f317(f317(f23(a1),f317(f317(f74(a1),x43551),x43551)),f317(f317(f23(a1),f317(f317(f74(a1),x43552),x43552)),a87))) % 199.88/200.98 [4478]E(f317(f132(f899(f899(x44781)),f899(f899(x44781)),f124(f899(x44781)),f103(f899(x44781))),f317(f317(f144(f899(x44781),f899(f899(x44781))),f146(f899(f899(x44781)),x44781,f103(f899(x44781)),f317(f16(f905(f899(x44781),f899(f899(x44781))),x44781),f317(f317(f7(f899(x44781),f899(f899(x44781)),f899(f899(x44781))),f141(f899(x44781))),f103(f899(x44781)))))),x44782)),f317(f317(f144(f899(x44781),f899(x44781)),f161(x44781)),f317(f126(f899(x44781),f317(f317(f8(a894,a894,f899(x44781)),a312),f317(f317(f7(f899(x44781),f899(x44781),a894),a314),f103(x44781)))),x44782))) % 199.88/200.98 [4488]E(f317(f317(f80(a1,a898),f317(f94(a1),f317(f317(f74(a1),x44881),a87))),f317(f317(f18(a1,a898,a898),f317(f317(f7(a1,a898,f905(a898,a898)),f317(f317(f8(a894,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),f317(f317(f8(a898,a898,a1),a102),f317(f317(f7(a1,a898,a898),f317(f317(f8(a898,f905(a898,a898),a1),f229(a898)),a95)),x44882)))),f317(f317(f229(a898),f317(f94(a898),x44881)),f317(a102,x44882))) % 199.88/200.98 [4489]E(f317(f317(f80(a1,a898),f317(f94(a1),f317(f317(f74(a1),x44891),a87))),f317(f317(f18(a1,a898,a898),f317(f317(f7(a1,a898,f905(a898,a898)),f317(f317(f8(a894,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f317(a102,x44892))),f317(f317(f8(a898,a898,a1),a102),f317(f317(f7(a1,a898,a898),f317(f317(f8(a898,f905(a898,a898),a1),f224(a898)),a95)),x44892)))),f317(f317(f224(a898),f317(f94(a898),x44891)),f317(a102,x44892))) % 199.88/200.98 [4477]E(f317(f247(x44771,x44771,a894),f317(f317(f18(x44771,a894,f905(x44771,a894)),f317(f317(f8(f905(x44771,f905(a894,a894)),f905(a894,f905(x44771,a894)),x44771),f7(x44771,a894,a894)),f317(f317(f8(f905(x44771,a894),f905(x44771,f905(a894,a894)),x44771),f317(f8(a894,f905(a894,a894),x44771),a315)),a314))),x44772)),f253(x44771,x44772)) % 199.88/200.98 [4522]E(f317(f317(f30(a898),x45221),f317(f317(f74(a898),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45222)),f317(f317(f30(a898),x45221),f317(a102,f317(a102,f317(a102,x45222))))) % 199.88/200.98 [4523]E(f40(a898,x45231,f317(f317(f74(a898),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45232)),f40(a898,x45231,f317(a102,f317(a102,f317(a102,x45232))))) % 199.88/200.98 [4524]E(f40(a898,f317(f317(f74(a898),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45241),x45242),f40(a898,f317(a102,f317(a102,f317(a102,x45241))),x45242)) % 199.88/200.98 [4536]E(f113(f317(x45361,f317(f317(f75(a89),f317(f94(a89),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45362))),f317(f190(x45361),x45362)) % 199.88/200.98 [4537]E(f317(f317(f30(a898),f317(f317(f74(a898),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),x45371)),x45372),f317(f317(f30(a898),f317(a102,f317(a102,f317(a102,x45371)))),x45372)) % 199.88/200.98 [4589]~E(f116(x45891,x45892,x45893),f109(x45891)) % 199.88/200.98 [3343]E(f317(f182(x33431,x33432),x33433),f111(x33431,x33432)) % 199.88/200.98 [3362]E(f317(f189(x33621,x33622),x33623),f317(f119(x33621),x33622)) % 199.88/200.98 [3439]E(f317(f317(f144(x34391,x34392),x34393),f103(x34391)),f103(x34392)) % 199.88/200.98 [3478]E(f317(f174(x34781,x34782,x34783),f2(a898)),x34782) % 199.88/200.98 [3480]E(f317(f317(f171(x34801,x34802),x34803),f103(x34802)),f103(f904(x34801,x34802))) % 199.88/200.98 [3493]E(f317(f179(f899(x34931)),f159(x34931,x34932,x34933)),x34932) % 199.88/200.98 [3512]E(f79(x35121,f56(x35121,x35122,x35123)),f317(f57(x35121,x35122),x35123)) % 199.88/200.98 [3516]E(f233(x35161,x35162,f233(x35162,x35161,x35163)),x35163) % 199.88/200.98 [3536]E(f317(f158(x35361),f159(x35361,x35362,x35363)),f159(x35361,x35362,x35363)) % 199.88/200.98 [3561]E(f130(x35611,x35612,f142(x35611,x35613)),f142(x35611,f130(x35611,x35612,x35613))) % 199.88/200.98 [3580]E(f317(f241(f899(x35801),f899(x35801)),f156(x35801,x35802,x35803)),f317(f126(x35801,x35802),x35803)) % 199.88/200.98 [3623]E(f317(f317(f141(x36231),x36232),f159(x36231,x36233,x36232)),f159(x36231,f317(a102,x36233),x36232)) % 199.88/200.98 [3655]E(f175(x36551,x36552,x36553,f2(a898)),x36552) % 199.88/200.98 [3656]E(f17(x36561,x36562,x36563,f2(a89)),x36562) % 199.88/200.98 [3657]E(f19(x36571,x36572,x36573,f2(a89)),x36572) % 199.88/200.98 [3664]E(f153(x36641,x36642,x36643,f103(x36641)),f103(x36642)) % 199.88/200.98 [3665]E(f120(x36651,x36652,x36653,f109(x36651)),f109(x36652)) % 199.88/200.98 [3671]E(f317(f317(f154(x36711),f317(f317(f141(x36711),x36712),x36713)),f2(a898)),x36712) % 199.88/200.98 [3699]E(f54(x36991,x36992,f103(x36991),x36993),f103(f904(x36991,x36992))) % 199.88/200.98 [3719]P24(x37191,x37192,x37193,f178(f905(x37191,a894))) % 199.88/200.98 [3821]E(f255(x38211,x38212,x38213),f317(f242(f905(a89,f905(a894,f901(f900(x38211)))),f904(a89,a89)),f36(x38211))) % 199.88/200.98 [3878]E(f317(f67(x38781,x38782,x38781,x38783),f25(x38781)),x38783) % 199.88/200.98 [4055]P1(f317(f317(f319(f904(x40551,x40551)),f317(f317(f242(x40551,x40551),x40552),x40552)),f297(x40551,x40553))) % 199.88/200.98 [4632]~P1(f317(f317(f319(f904(f899(x46321),f899(x46321))),f317(f317(f242(f899(x46321),f899(x46321)),x46322),f103(x46321))),f135(x46321,x46323))) % 199.88/200.98 [4633]~P1(f317(f317(f319(f904(f899(x46331),f899(x46331))),f317(f317(f242(f899(x46331),f899(x46331)),x46332),f103(x46331))),f137(x46331,x46333))) % 199.88/200.98 [4634]~P1(f317(f317(f319(f904(f899(x46341),f899(x46341))),f317(f317(f242(f899(x46341),f899(x46341)),x46342),f103(x46341))),f147(x46341,x46343))) % 199.88/200.98 [4635]~P1(f317(f317(f319(f904(f899(x46351),f899(x46351))),f317(f317(f242(f899(x46351),f899(x46351)),f103(x46351)),x46352)),f135(x46351,x46353))) % 199.88/200.98 [4636]~P1(f317(f317(f319(f904(f899(x46361),f899(x46361))),f317(f317(f242(f899(x46361),f899(x46361)),f103(x46361)),x46362)),f147(x46361,x46363))) % 199.88/200.98 [3414]E(f317(f317(f191(x34141),x34142),x34143),f192(x34141,f205(x34142,x34143))) % 199.88/200.98 [3467]E(f317(f276(x34671,x34672),f317(f276(x34672,x34671),x34673)),x34673) % 199.88/200.98 [3488]E(f317(f317(f171(x34881,x34882),f103(x34881)),x34883),f103(f904(x34881,x34882))) % 199.88/200.98 [3491]E(f166(x34911,x34912,f317(f272(a898),x34913)),f317(f317(f165(x34911),x34913),x34912)) % 199.88/200.98 [3509]E(f142(x35091,f317(f126(x35091,x35092),x35093)),f317(f126(x35091,x35092),f142(x35091,x35093))) % 199.88/200.98 [3510]E(f317(f274(x35101,x35102),f317(f276(x35102,x35101),x35103)),f317(f254(x35102,x35101),x35103)) % 199.88/200.98 [3511]E(f317(f254(x35111,x35112),f317(f276(x35112,x35111),x35113)),f317(f274(x35112,x35111),x35113)) % 199.88/200.98 [3529]E(f317(f126(x35291,x35292),f317(f158(x35291),x35293)),f317(f158(x35291),f317(f126(x35291,x35292),x35293))) % 199.88/200.98 [3541]E(f317(f317(f128(x35411),x35412),f317(f161(x35411),x35413)),f317(f317(f128(x35411),f317(a102,x35412)),x35413)) % 199.88/200.98 [3557]E(f317(f300(x35571,x35572,x35573),f178(f905(x35571,a894))),f178(f905(x35572,a894))) % 199.88/200.98 [3558]E(f317(f275(x35581,x35582,x35583),f178(f905(x35581,a894))),f178(f905(x35582,a894))) % 199.88/200.98 [3559]E(f317(f301(x35591,x35592,x35593),f178(f905(x35592,a894))),f178(f905(x35591,a894))) % 199.88/200.98 [3560]E(f317(f301(x35601,x35602,x35603),f232(f905(x35602,a894))),f232(f905(x35601,a894))) % 199.88/200.98 [3586]E(f110(x35861,f116(f900(x35861),x35862,x35863)),f106(x35861,x35862,f110(x35861,x35863))) % 199.88/200.98 [3588]E(f317(f317(f299(x35881),x35882),f317(f162(x35881),x35883)),f317(f162(x35881),f130(x35881,x35882,x35883))) % 199.88/200.98 [3675]E(f317(f300(f904(x36751,x36752),x36752,f246(x36751,x36752)),x36753),f317(f274(x36751,x36752),x36753)) % 199.88/200.98 [3676]E(f317(f300(f904(x36761,x36762),x36761,f241(x36761,x36762)),x36763),f317(f254(x36761,x36762),x36763)) % 199.88/200.98 [3691]E(f317(f162(x36911),f159(x36911,f317(a102,x36912),x36913)),f317(f317(f299(x36911),x36913),f178(f905(x36911,a894)))) % 199.88/200.98 [3748]E(f317(f317(f242(x37481,x37482),f317(f241(x37481,x37482),x37483)),f317(f246(x37481,x37482),x37483)),x37483) % 199.88/200.98 [3755]E(f317(f179(f900(x37551)),f116(x37551,x37552,x37553)),f317(f317(f74(a898),f317(f179(f900(x37551)),x37553)),f317(a102,f2(a898)))) % 199.88/200.98 [3757]E(f317(f317(f247(x37571,x37572,x37571),f16(x37571,x37572)),x37573),f317(f241(x37571,x37572),x37573)) % 199.88/200.98 [3883]E(f317(f67(x38831,x38831,x38832,f25(x38831)),x38833),x38833) % 199.88/200.98 [3890]E(f317(f317(f124(x38901),f159(x38901,x38902,x38903)),f317(f317(f141(x38901),x38903),f103(x38901))),f317(f317(f141(x38901),x38903),f159(x38901,x38902,x38903))) % 199.88/200.98 [4065]P1(f317(f317(f225(f905(x40651,a894)),f317(f162(x40651),f317(f126(x40651,x40652),x40653))),f317(f162(x40651),x40653))) % 199.88/200.98 [4107]P1(f317(f317(f225(f905(x41071,a894)),f317(f162(x41071),f317(f317(f165(x41071),x41072),x41073))),f317(f162(x41071),x41073))) % 199.88/200.98 [4108]P1(f317(f317(f225(f905(x41081,a894)),f317(f162(x41081),f317(f317(f128(x41081),x41082),x41083))),f317(f162(x41081),x41083))) % 199.88/200.98 [4112]P1(f317(f317(f225(f905(x41121,a894)),f317(f162(x41121),f166(x41121,x41122,x41123))),f317(f162(x41121),x41122))) % 199.88/200.98 [4113]P1(f317(f317(f225(f905(x41131,a894)),f317(f162(x41131),f160(x41131,x41132,x41133))),f317(f162(x41131),x41133))) % 199.88/200.98 [4134]P24(f904(x41341,x41342),f904(x41342,x41341),f317(f247(x41341,x41342,f904(x41342,x41341)),f317(f7(x41342,x41341,f904(x41342,x41341)),f242(x41342,x41341))),x41343) % 199.88/200.98 [4145]E(f317(f317(f317(f173(f899(x41451),f899(x41451)),f40(a898,x41452,f317(f179(f899(x41451)),x41453))),f157(x41451)),x41453),f317(f317(f317(f173(f899(x41451),f899(x41451)),x41452),f157(x41451)),x41453)) % 199.88/200.98 [4189]P1(f317(f317(f319(f904(f899(x41891),f899(x41891))),f317(f317(f242(f899(x41891),f899(x41891)),x41892),x41892)),f148(x41891,f297(x41891,x41893)))) % 199.88/200.98 [4328]E(f79(f904(x43281,x43282),f317(f317(f18(f904(x43281,x43282),x43282,a894),f317(f317(f8(x43281,f905(x43282,a894),f904(x43281,x43282)),x43283),f241(x43281,x43282))),f246(x43281,x43282))),f79(f904(x43281,x43282),f317(f247(x43281,x43282,a894),x43283))) % 199.88/200.98 [4329]E(f84(f904(x43291,x43292),f317(f317(f18(f904(x43291,x43292),x43292,a894),f317(f317(f8(x43291,f905(x43292,a894),f904(x43291,x43292)),x43293),f241(x43291,x43292))),f246(x43291,x43292))),f84(f904(x43291,x43292),f317(f247(x43291,x43292,a894),x43293))) % 199.88/200.98 [4362]E(f317(f317(f278(f904(a898,x43621),x43621),f309(a898,x43621,a230,x43622)),f317(f317(f18(x43621,x43621,f904(a898,x43621)),f317(f317(f8(a898,f905(x43621,f904(a898,x43621)),x43621),f242(a898,x43621)),x43623)),f5(x43621))),f311(x43621,x43623,x43622)) % 199.88/200.98 [4424]E(f317(f248(x44241,x44241,x44242,x44242,f5(x44241),f5(x44242)),x44243),x44243) % 199.88/200.98 [4497]E(f317(f132(f899(f899(x44971)),f899(f899(x44971)),f124(f899(x44971)),f103(f899(x44971))),f317(f317(f144(f899(x44971),f899(f899(x44971))),f317(f317(f7(f899(x44971),f899(x44971),f899(f899(x44971))),f317(f317(f8(f905(x44971,f899(x44971)),f905(f899(x44971),f899(f899(x44971))),f899(x44971)),f144(x44971,f899(x44971))),f317(f7(x44971,f899(x44971),f899(x44971)),f141(x44971)))),x44972)),f50(x44971,x44973,x44972))),f50(x44971,f317(a102,x44973),x44972)) % 199.88/200.98 [4553]E(f213(a898,f904(x45531,f900(x45531)),f2(a898),f317(f247(x45531,f900(x45531),a898),f317(f317(f7(x45531,a898,f905(f900(x45531),a898)),f317(f317(f8(f905(f900(x45531),f905(a898,a898)),f905(a898,f905(f900(x45531),a898)),x45531),f7(f900(x45531),a898,a898)),f317(f317(f8(f905(f900(x45531),a898),f905(f900(x45531),f905(a898,a898)),x45531),f317(f8(a898,f905(a898,a898),f900(x45531)),f74(a898))),f317(f317(f7(x45531,f905(f900(x45531),a898),f905(f900(x45531),a898)),f317(f317(f8(f905(a898,a898),f905(f905(f900(x45531),a898),f905(f900(x45531),a898)),x45531),f8(a898,a898,f900(x45531))),f317(f317(f8(a898,f905(a898,a898),x45531),f74(a898)),x45532))),f115(x45531,x45532))))),f72(a898))),f317(f125(x45531),x45533)),f317(f115(x45531,x45532),x45533)) % 199.88/200.98 [4561]E(f317(f317(f80(a1,x45611),f208(f317(f317(f67(f904(a1,a1),a1,x45611,f246(a1,a1)),f202(x45611)),x45612),f317(f317(f67(f904(a1,a1),a1,x45611,f246(a1,a1)),f202(x45611)),x45613))),f317(f317(f18(a1,a1,x45611),f317(f317(f8(a1,f905(a1,x45611),a1),f191(x45611)),f317(f317(f18(a1,a1,a1),f317(f317(f8(a1,f905(a1,a1),a1),f74(a1)),f317(f317(f8(a1,a1,a1),f317(f75(a1),f317(f317(f67(f904(a1,a1),a1,x45611,f241(a1,a1)),f202(x45611)),x45612))),f317(f317(f7(a1,a1,a1),f30(a1)),f317(f317(f67(f904(a1,a1),a1,x45611,f246(a1,a1)),f202(x45611)),x45612))))),f317(f317(f8(a1,a1,a1),f317(f75(a1),f317(f317(f67(f904(a1,a1),a1,x45611,f241(a1,a1)),f202(x45611)),x45613))),f317(f317(f7(a1,a1,a1),f30(a1)),f317(f317(f67(f904(a1,a1),a1,x45611,f246(a1,a1)),f202(x45611)),x45613)))))),f5(a1))),f220(x45611,x45612,x45613)) % 199.88/200.98 [4584]~E(f317(f317(f141(x45841),x45842),x45843),x45843) % 199.88/200.98 [4587]~E(f317(f317(f141(x45871),x45872),x45873),f103(x45871)) % 199.88/200.98 [4593]~E(f317(f317(f299(x45931),x45932),x45933),f178(f905(x45931,a894))) % 199.88/200.98 [4613]~E(f317(f300(x46131,f905(x46131,a894),x46132),x46133),f317(f298(x46131),x46133)) % 199.88/200.98 [3472]E(f317(f317(f149(x34721,f103(x34721)),x34722),x34723),f103(x34721)) % 199.88/200.98 [3473]E(f317(f131(x34731),f317(f317(f141(x34731),x34732),x34733)),x34732) % 199.88/200.98 [3474]E(f317(f161(x34741),f317(f317(f141(x34741),x34742),x34743)),x34743) % 199.88/200.98 [3515]E(f317(f317(f128(x35151),f72(a898)),f317(f317(f141(x35151),x35152),x35153)),x35153) % 199.88/200.98 [3548]E(f104(x35481,f317(f317(f128(x35481),x35482),x35483)),f317(f317(f128(x35481),x35482),f104(x35481,x35483))) % 199.88/200.98 [3550]E(f317(f317(f149(x35501,x35502),x35503),f317(f317(f154(x35501),x35502),x35503)),x35502) % 199.88/200.98 [3570]E(f317(f317(f299(x35701),x35702),f317(f317(f299(x35701),x35702),x35703)),f317(f317(f299(x35701),x35702),x35703)) % 199.88/200.98 [3583]E(f317(f317(f299(x35831),x35832),f317(f162(x35831),x35833)),f317(f162(x35831),f317(f317(f141(x35831),x35832),x35833))) % 199.88/200.98 [3585]E(f317(f317(f128(x35851),x35852),f317(f161(x35851),x35853)),f317(f161(x35851),f317(f317(f128(x35851),x35852),x35853))) % 199.88/200.98 [3597]E(f317(f317(f165(x35971),f72(a898)),f317(f317(f141(x35971),x35972),x35973)),f317(f317(f141(x35971),x35972),f103(x35971))) % 199.88/200.98 [3640]E(f317(f57(x36401,x36402),f317(f317(f299(x36401),x36403),f178(f905(x36401,a894)))),x36403) % 199.88/200.98 [3681]E(f317(f317(f74(a898),x36811),f317(f317(f74(a898),x36812),x36813)),f317(f317(f74(a898),x36812),f317(f317(f74(a898),x36811),x36813))) % 199.88/200.98 [3682]E(f317(f317(f74(a1),x36821),f317(f317(f74(a1),x36822),x36823)),f317(f317(f74(a1),x36822),f317(f317(f74(a1),x36821),x36823))) % 199.88/200.98 [3687]E(f317(f317(f244(x36871,x36872),f178(f905(x36871,a894))),x36873),f178(f905(f904(x36871,x36872),a894))) % 199.88/200.98 [3711]E(f317(f317(f91(f905(x37111,a894)),x37112),x37113),f317(f317(f91(f905(x37111,a894)),x37113),x37112)) % 199.88/200.98 [3712]E(f317(f317(f92(f905(x37121,a894)),x37122),x37123),f317(f317(f92(f905(x37121,a894)),x37123),x37122)) % 199.88/200.98 [3714]E(f317(f317(f124(x37141),x37142),f317(f317(f141(x37141),x37143),f103(x37141))),f317(f157(x37141),f317(f317(f141(x37141),x37143),x37142))) % 199.88/200.98 [3715]E(f317(f317(f124(x37151),f317(f158(x37151),x37152)),f317(f158(x37151),x37153)),f317(f158(x37151),f317(f317(f124(x37151),x37153),x37152))) % 199.88/200.98 [3725]E(f317(f161(x37251),f317(f317(f165(x37251),f317(a102,x37252)),x37253)),f317(f317(f165(x37251),x37252),f317(f161(x37251),x37253))) % 199.88/200.98 [3733]P1(f317(f317(f319(x37331),x37332),f317(f317(f299(x37331),x37332),x37333))) % 199.88/200.98 [3737]E(f317(f317(f35(x37371,f905(x37372,a894)),f178(f905(x37371,a894))),x37373),f232(f905(x37372,a894))) % 199.88/200.98 [3740]E(f317(f275(x37401,x37401,f253(x37401,x37402)),x37403),f317(f317(f92(f905(x37401,a894)),x37402),x37403)) % 199.88/200.98 [3754]E(f317(f179(f899(x37541)),f317(f317(f141(x37541),x37542),x37543)),f317(f317(f74(a898),f317(f179(f899(x37541)),x37543)),f317(a102,f2(a898)))) % 199.88/200.98 [3759]E(f104(x37591,f317(f317(f124(x37591),x37592),f317(f317(f141(x37591),x37593),f103(x37591)))),x37592) % 199.88/200.98 [3760]E(f134(x37601,f317(f317(f124(x37601),x37602),f317(f317(f141(x37601),x37603),f103(x37601)))),x37603) % 199.88/200.98 [3768]E(f317(f317(f124(x37681),f317(f317(f165(x37681),x37682),x37683)),f317(f317(f128(x37681),x37682),x37683)),x37683) % 199.88/200.98 [3777]E(f317(f317(f23(a898),f317(f317(f74(a898),x37771),x37772)),f317(f317(f74(a898),x37773),x37772)),f317(f317(f23(a898),x37771),x37773)) % 199.88/200.98 [3778]E(f317(f317(f23(a898),f317(f317(f74(a898),x37781),x37782)),f317(f317(f74(a898),x37781),x37783)),f317(f317(f23(a898),x37782),x37783)) % 199.88/200.98 [3784]E(f317(f317(f124(x37841),f317(f158(x37841),x37842)),f317(f317(f141(x37841),x37843),f103(x37841))),f317(f158(x37841),f317(f317(f141(x37841),x37843),x37842))) % 199.88/200.98 [3786]E(f317(f317(f74(a898),f317(f179(f899(x37861)),x37862)),f317(f179(f899(x37861)),x37863)),f317(f179(f899(x37861)),f317(f317(f124(x37861),x37862),x37863))) % 199.88/200.98 [3789]E(f317(f317(f74(a898),f317(f179(f899(x37891)),x37892)),f317(f179(f899(x37891)),x37893)),f317(f179(f899(x37891)),f163(x37891,x37892,x37893))) % 199.88/200.98 [3796]E(f317(f317(f91(f905(x37961,a894)),f317(f162(x37961),x37962)),f317(f162(x37961),x37963)),f317(f162(x37961),f317(f317(f124(x37961),x37962),x37963))) % 199.88/200.98 [3797]E(f40(a898,f317(f317(f75(a898),x37971),x37972),f317(f317(f75(a898),x37971),x37973)),f317(f317(f75(a898),x37971),f40(a898,x37972,x37973))) % 199.88/200.98 [3809]E(f317(f317(f165(x38091),f317(f317(f23(a898),x38092),f72(a898))),f317(f161(x38091),x38093)),f317(f161(x38091),f317(f317(f165(x38091),x38092),x38093))) % 199.88/200.98 [3814]E(f317(f317(f92(f905(x38141,a894)),x38142),f317(f73(f905(x38141,a894)),x38143)),f317(f317(f23(f905(x38141,a894)),x38142),x38143)) % 199.88/200.98 [3815]E(f317(f317(f23(f905(x38151,a894)),x38152),f317(f73(f905(x38151,a894)),x38153)),f317(f317(f92(f905(x38151,a894)),x38152),x38153)) % 199.88/200.98 [3837]E(f317(f317(f244(x38371,x38372),x38373),f317(f16(f905(x38372,a894),x38371),f178(f905(x38372,a894)))),f178(f905(f904(x38371,x38372),a894))) % 199.88/200.98 [3839]E(f317(f317(f23(a898),f317(f317(f75(a898),x38391),x38392)),f317(f317(f75(a898),x38391),x38393)),f317(f317(f75(a898),x38391),f317(f317(f23(a898),x38392),x38393))) % 199.88/200.98 [3840]E(f317(f317(f74(a898),f317(f317(f75(a898),x38401),x38402)),f317(f317(f75(a898),x38401),x38403)),f317(f317(f75(a898),x38401),f317(f317(f74(a898),x38402),x38403))) % 199.88/200.98 [3841]E(f317(f317(f23(a1),f317(f317(f75(a1),x38411),x38412)),f317(f317(f75(a1),x38411),x38413)),f317(f317(f75(a1),x38411),f317(f317(f23(a1),x38412),x38413))) % 199.88/200.98 [3842]E(f317(f317(f74(a1),f317(f317(f75(a1),x38421),x38422)),f317(f317(f75(a1),x38421),x38423)),f317(f317(f75(a1),x38421),f317(f317(f74(a1),x38422),x38423))) % 199.88/200.98 [3843]E(f317(f317(f75(a1),f317(f317(f234(a1),x38431),x38432)),f317(f317(f234(a1),x38431),x38433)),f317(f317(f234(a1),x38431),f317(f317(f74(a898),x38432),x38433))) % 199.88/200.98 [3857]E(f317(f317(f34(x38571,f905(x38572,a894)),x38573),f317(f16(f905(x38572,a894),x38571),f178(f905(x38572,a894)))),f178(f905(x38572,a894))) % 199.88/200.98 [3859]E(f40(a898,f317(f317(f75(a898),x38591),x38592),f317(f317(f75(a898),x38593),x38592)),f317(f317(f75(a898),f40(a898,x38591,x38593)),x38592)) % 199.88/200.98 [3864]E(f40(a1,f317(f317(f23(a1),x38641),f40(a1,x38642,x38643)),x38643),f40(a1,f317(f317(f23(a1),x38641),x38642),x38643)) % 199.88/200.98 [3865]E(f40(a1,f317(f317(f75(a1),x38651),f40(a1,x38652,x38653)),x38653),f40(a1,f317(f317(f75(a1),x38651),x38652),x38653)) % 199.88/200.98 [3866]P1(f317(f317(f225(f905(x38661,a894)),x38662),f317(f317(f299(x38661),x38663),x38662))) % 199.88/200.98 [3941]E(f317(f317(f35(f905(x39411,a894),f905(x39411,a894)),x39412),f317(f91(f905(x39411,a894)),x39413)),f317(f317(f91(f905(x39411,a894)),x39413),f32(f905(x39411,a894),x39412))) % 199.88/200.98 [3942]E(f317(f317(f34(f905(x39421,a894),f905(x39421,a894)),x39422),f317(f92(f905(x39421,a894)),x39423)),f317(f317(f92(f905(x39421,a894)),x39423),f31(f905(x39421,a894),x39422))) % 199.88/200.98 [3954]E(f317(f162(x39541),f317(f317(f317(f173(f899(x39541),f899(x39541)),x39542),f157(x39541)),x39543)),f317(f162(x39541),x39543)) % 199.88/200.98 [3958]E(f317(f317(f165(x39581),f317(f179(f899(x39581)),f167(x39581,x39582,x39583))),x39583),f167(x39581,x39582,x39583)) % 199.88/200.98 [3962]E(f317(f179(f899(x39621)),f317(f317(f317(f173(f899(x39621),f899(x39621)),x39622),f157(x39621)),x39623)),f317(f179(f899(x39621)),x39623)) % 199.88/200.98 [3965]E(f317(f317(f247(x39651,x39652,x39652),f317(f16(f905(x39652,x39652),x39651),f5(x39652))),x39653),f317(f246(x39651,x39652),x39653)) % 199.88/200.98 [3972]E(f40(a1,f317(f317(f23(a1),f40(a1,x39721,x39722)),x39723),x39722),f40(a1,f317(f317(f23(a1),x39721),x39723),x39722)) % 199.88/200.98 [3973]E(f40(a1,f317(f317(f234(a1),f40(a1,x39731,x39732)),x39733),x39732),f40(a1,f317(f317(f234(a1),x39731),x39733),x39732)) % 199.88/200.98 [3976]E(f317(f317(f34(f905(f904(x39761,x39762),a894),f905(x39762,a894)),x39763),f274(x39761,x39762)),f317(f274(x39761,x39762),f31(f905(f904(x39761,x39762),a894),x39763))) % 199.88/200.98 [3977]E(f317(f317(f34(f905(f904(x39771,x39772),a894),f905(x39771,a894)),x39773),f254(x39771,x39772)),f317(f254(x39771,x39772),f31(f905(f904(x39771,x39772),a894),x39773))) % 199.88/200.98 [4000]E(f317(f67(x40001,x40001,x40001,x40002),f317(f317(f173(x40001,x40001),x40003),x40002)),f317(f317(f173(x40001,x40001),f317(a102,x40003)),x40002)) % 199.88/200.98 [4018]E(f317(f317(f128(x40181),f317(f317(f23(a898),f317(f179(f899(x40181)),x40182)),x40183)),f317(f158(x40181),x40182)),f317(f158(x40181),f317(f317(f165(x40181),x40183),x40182))) % 199.88/200.98 [4019]E(f317(f317(f165(x40191),f317(f317(f23(a898),f317(f179(f899(x40191)),x40192)),x40193)),f317(f158(x40191),x40192)),f317(f158(x40191),f317(f317(f128(x40191),x40193),x40192))) % 199.88/200.98 [4021]E(f317(f317(f74(a898),f317(f155(a898),f317(f317(f144(x40211,a898),x40212),x40213))),f317(f179(f899(x40211)),x40213)),f145(x40211,x40212,x40213)) % 199.88/200.98 [4042]E(f317(f157(x40421),f317(f317(f317(f173(f899(x40421),f899(x40421)),x40422),f157(x40421)),x40423)),f317(f317(f317(f173(f899(x40421),f899(x40421)),f317(a102,x40422)),f157(x40421)),x40423)) % 199.88/200.98 [4056]P1(f317(f317(f225(a898),f317(f179(f899(x40561)),f317(f126(x40561,x40562),x40563))),f317(f179(f899(x40561)),x40563))) % 199.88/200.98 [4073]E(f317(f317(f91(f905(f905(x40731,a894),a894)),f317(f298(x40731),x40732)),f317(f300(f905(x40731,a894),f905(x40731,a894),f317(f299(x40731),x40733)),f317(f298(x40731),x40732))),f317(f298(x40731),f317(f317(f299(x40731),x40733),x40732))) % 199.88/200.98 [4104]P1(f317(f317(f225(a898),f317(f179(f899(x41041)),f167(x41041,x41042,x41043))),f317(f179(f899(x41041)),x41043))) % 199.88/200.98 [4111]E(f317(f254(x41111,x41112),f317(f252(f904(x41111,x41112)),f317(f247(x41111,x41112,a894),x41113))),f317(f252(x41111),f317(f317(f8(f905(x41112,a894),a894,x41111),f81(x41112)),x41113))) % 199.88/200.98 [4123]E(f317(f300(a898,a898,f317(f317(f7(a898,a898,a898),f74(a898)),x41231)),f293(a898,x41232,x41233)),f293(a898,f317(f317(f74(a898),x41232),x41231),f317(f317(f74(a898),x41233),x41231))) % 199.88/200.98 [4137]E(f317(f300(a898,a898,f317(f317(f7(a898,a898,a898),f74(a898)),x41371)),f317(f292(a898,x41372),x41373)),f317(f292(a898,f317(f317(f74(a898),x41372),x41371)),f317(f317(f74(a898),x41373),x41371))) % 199.88/200.98 [4155]E(f317(f317(f171(x41551,x41552),f317(f317(f144(f904(x41551,x41552),x41551),f241(x41551,x41552)),x41553)),f317(f317(f144(f904(x41551,x41552),x41552),f246(x41551,x41552)),x41553)),x41553) % 199.88/200.98 [4160]E(f317(f317(f74(a898),f317(f317(f75(a898),x41601),f40(a898,f317(f317(f30(a898),x41602),x41601),x41603))),f40(a898,x41602,x41601)),f40(a898,x41602,f317(f317(f75(a898),x41601),x41603))) % 199.88/200.98 [4173]E(f317(f317(f124(x41731),x41732),f317(f132(f899(x41731),f899(x41731),f124(x41731),f103(x41731)),x41733)),f317(f132(f899(x41731),f899(x41731),f124(x41731),x41732),x41733)) % 199.88/200.98 [4194]P1(f317(f317(f319(f904(x41941,x41941)),f317(f317(f242(x41941,x41941),x41942),x41942)),f317(f317(f173(f904(x41941,x41941),a894),f2(a898)),x41943))) % 199.88/200.98 [4199]E(f317(f252(x41991),f317(f317(f8(f905(x41992,a894),a894,x41991),f81(x41992)),f317(f7(x41992,x41991,a894),x41993))),f317(f274(x41992,x41991),f317(f252(f904(x41992,x41991)),f317(f247(x41992,x41991,a894),x41993)))) % 199.88/200.98 [4216]E(f317(f317(f91(f905(x42161,a894)),f317(f317(f34(a898,f905(x42161,a894)),f293(a898,f72(a898),x42162)),x42163)),f317(x42163,f2(a898))),f317(f317(f34(a898,f905(x42161,a894)),f317(f291(a898),x42162)),x42163)) % 199.88/200.98 [4231]E(f317(f132(f899(x42311),f899(x42311),f124(x42311),f103(x42311)),f317(f317(f144(f899(x42311),f899(x42311)),f126(x42311,x42312)),x42313)),f317(f126(x42311,x42312),f317(f132(f899(x42311),f899(x42311),f124(x42311),f103(x42311)),x42313))) % 199.88/200.98 [4235]E(f317(f246(f899(x42351),f899(x42351)),f156(x42351,x42352,x42353)),f317(f126(x42351,f317(f67(a894,a894,x42351,a312),x42352)),x42353)) % 199.88/200.98 [4280]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42801),f317(f317(f30(a1),x42802),x42801))),f40(a1,x42802,x42801))),x42803),f317(f317(f74(a1),x42802),x42803)) % 199.88/200.98 [4317]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f317(f30(a1),x43171),x43172)),x43172)),f40(a1,x43171,x43172))),x43173),f317(f317(f74(a1),x43171),x43173)) % 199.88/200.98 [4343]E(f79(f904(x43431,x43432),f317(f247(x43431,x43432,a894),f317(f317(f8(f905(x43432,f904(x43431,x43432)),f905(x43432,a894),x43431),f317(f8(f904(x43431,x43432),a894,x43432),x43433)),f242(x43431,x43432)))),f79(f904(x43431,x43432),x43433)) % 199.88/200.98 [4344]E(f84(f904(x43441,x43442),f317(f247(x43441,x43442,a894),f317(f317(f8(f905(x43442,f904(x43441,x43442)),f905(x43442,a894),x43441),f317(f8(f904(x43441,x43442),a894,x43442),x43443)),f242(x43441,x43442)))),f84(f904(x43441,x43442),x43443)) % 199.88/200.98 [4371]P1(f317(f317(f225(f905(x43711,a894)),f31(f905(x43711,a894),f317(f317(f92(f905(f905(x43711,a894),a894)),x43712),x43713))),f317(f317(f92(f905(x43711,a894)),f31(f905(x43711,a894),x43712)),f31(f905(x43711,a894),x43713)))) % 199.88/200.98 [4372]E(f317(f158(x43721),f317(f317(f317(f173(f899(x43721),f899(x43721)),f317(f317(f23(a898),f317(f179(f899(x43721)),x43722)),f40(a898,x43723,f317(f179(f899(x43721)),x43722)))),f157(x43721)),x43722)),f317(f317(f317(f173(f899(x43721),f899(x43721)),x43723),f157(x43721)),f317(f158(x43721),x43722))) % 199.88/200.98 [4409]P1(f317(f317(f225(a898),f317(f179(f899(x44091)),f317(f317(f128(x44091),f317(f179(f899(x44091)),f167(x44091,x44092,x44093))),x44093))),f317(f179(f899(x44091)),x44093))) % 199.88/200.98 [4626]~P1(f317(f56(x46261,x46262,f178(f905(x46261,a894))),x46263)) % 199.88/200.98 [4631]~P1(f317(f317(f319(f904(x46311,x46311)),f317(f317(f242(x46311,x46311),x46312),x46313)),f143(x46311,f103(f905(x46311,a898))))) % 199.88/200.98 [3726]E(f317(f179(f899(x37261)),f317(f317(f165(x37261),x37262),x37263)),f317(f317(f229(a898),f317(f179(f899(x37261)),x37263)),x37262)) % 199.88/200.98 [3727]E(f317(f179(f899(x37271)),f317(f317(f128(x37271),x37272),x37273)),f317(f317(f23(a898),f317(f179(f899(x37271)),x37273)),x37272)) % 199.88/200.98 [3753]E(f317(f179(f899(f899(x37531))),f50(x37531,x37532,x37533)),f317(f317(f234(a898),f317(f179(f899(x37531)),x37533)),x37532)) % 199.88/200.98 [3770]E(f317(f317(f30(a898),f317(f317(f30(a898),x37701),x37702)),x37703),f317(f317(f30(a898),x37701),f317(f317(f75(a898),x37702),x37703))) % 199.88/200.98 [3771]E(f317(f317(f23(a898),f317(f317(f23(a898),x37711),x37712)),x37713),f317(f317(f23(a898),x37711),f317(f317(f74(a898),x37712),x37713))) % 199.88/200.98 [3772]E(f317(f317(f74(a898),f317(f317(f74(a898),x37721),x37722)),x37723),f317(f317(f74(a898),x37721),f317(f317(f74(a898),x37722),x37723))) % 199.88/200.98 [3773]E(f317(f317(f74(a1),f317(f317(f74(a1),x37731),x37732)),x37733),f317(f317(f74(a1),x37731),f317(f317(f74(a1),x37732),x37733))) % 199.88/200.98 [3774]E(f317(f317(f75(a898),f317(f317(f75(a898),x37741),x37742)),x37743),f317(f317(f75(a898),x37741),f317(f317(f75(a898),x37742),x37743))) % 199.88/200.98 [3775]E(f317(f317(f75(a1),f317(f317(f75(a1),x37751),x37752)),x37753),f317(f317(f75(a1),x37751),f317(f317(f75(a1),x37752),x37753))) % 199.88/200.98 [3776]E(f317(f317(f234(a1),f317(f317(f234(a1),x37761),x37762)),x37763),f317(f317(f234(a1),x37761),f317(f317(f75(a898),x37762),x37763))) % 199.88/200.98 [3795]E(f152(x37951,f317(f317(f141(f905(x37951,a894)),x37952),x37953)),f164(x37951,x37952,f152(x37951,x37953))) % 199.88/200.98 [3838]E(f317(f317(f23(a898),f317(f317(f23(a898),x38381),x38382)),x38383),f317(f317(f23(a898),f317(f317(f23(a898),x38381),x38383)),x38382)) % 199.88/200.98 [3846]E(f317(f317(f92(f905(x38461,a894)),x38462),f317(f317(f23(f905(x38461,a894)),x38463),x38462)),f178(f905(x38461,a894))) % 199.88/200.98 [3850]E(f317(f317(f144(a898,x38501),f317(f16(x38501,a898),x38502)),f129(a898,f317(f292(a898,f2(a898)),x38503))),f159(x38501,x38503,x38502)) % 199.88/200.98 [3888]E(f32(f905(x38881,a894),f317(f317(f299(f905(x38881,a894)),x38882),x38883)),f317(f317(f92(f905(x38881,a894)),x38882),f32(f905(x38881,a894),x38883))) % 199.88/200.98 [3889]E(f31(f905(x38891,a894),f317(f317(f299(f905(x38891,a894)),x38892),x38893)),f317(f317(f91(f905(x38891,a894)),x38892),f31(f905(x38891,a894),x38893))) % 199.88/200.98 [3891]E(f159(x38911,f317(f179(f899(x38911)),f317(f126(x38911,f317(a314,x38912)),x38913)),x38912),f317(f126(x38911,f317(a314,x38912)),x38913)) % 199.88/200.98 [3893]E(f317(f317(f23(a898),f317(f317(f75(a898),x38931),x38932)),f317(f317(f75(a898),x38933),x38932)),f317(f317(f75(a898),f317(f317(f23(a898),x38931),x38933)),x38932)) % 199.88/200.98 [3894]E(f317(f317(f74(a898),f317(f317(f75(a898),x38941),x38942)),f317(f317(f75(a898),x38943),x38942)),f317(f317(f75(a898),f317(f317(f74(a898),x38941),x38943)),x38942)) % 199.88/200.98 [3895]E(f317(f317(f23(a1),f317(f317(f75(a1),x38951),x38952)),f317(f317(f75(a1),x38953),x38952)),f317(f317(f75(a1),f317(f317(f23(a1),x38951),x38953)),x38952)) % 199.88/200.98 [3896]E(f317(f317(f74(a1),f317(f317(f75(a1),x38961),x38962)),f317(f317(f75(a1),x38963),x38962)),f317(f317(f75(a1),f317(f317(f74(a1),x38961),x38963)),x38962)) % 199.88/200.98 [3898]E(f317(f317(f229(a898),f317(f317(f23(a898),x38981),x38982)),f317(f317(f23(a898),x38983),x38982)),f317(f317(f23(a898),f317(f317(f229(a898),x38981),x38983)),x38982)) % 199.88/200.98 [3918]E(f317(f317(f92(f905(f899(x39181),a894)),f150(x39181,x39182)),f150(x39181,x39183)),f150(x39181,f317(f317(f92(f905(x39181,a894)),x39182),x39183))) % 199.88/200.98 [3921]E(f317(f317(f91(f905(x39211,a894)),x39212),f317(f317(f23(f905(x39211,a894)),x39213),x39212)),f317(f317(f91(f905(x39211,a894)),x39212),x39213)) % 199.88/200.98 [3922]E(f317(f317(f91(f905(x39221,a894)),x39222),f317(f317(f91(f905(x39221,a894)),x39222),x39223)),f317(f317(f91(f905(x39221,a894)),x39222),x39223)) % 199.88/200.98 [3923]E(f317(f317(f92(f905(x39231,a894)),x39232),f317(f317(f92(f905(x39231,a894)),x39232),x39233)),f317(f317(f92(f905(x39231,a894)),x39232),x39233)) % 199.88/200.98 [3935]E(f317(f317(f279(x39351,x39352,x39352),x39353),f297(x39352,f178(f905(f904(x39352,x39352),a894)))),x39353) % 199.88/200.98 [3938]E(f317(f317(f91(f905(x39381,a894)),f317(f317(f299(x39381),x39382),f178(f905(x39381,a894)))),x39383),f317(f317(f299(x39381),x39382),x39383)) % 199.88/200.98 [3957]E(f317(f317(f23(a898),f317(f317(f23(a898),f317(a102,x39571)),x39572)),f317(a102,x39573)),f317(f317(f23(a898),f317(f317(f23(a898),x39571),x39572)),x39573)) % 199.88/200.98 [3985]E(f317(f317(f92(f905(f905(x39851,a894),a894)),f317(f298(x39851),x39852)),f317(f298(x39851),x39853)),f317(f298(x39851),f317(f317(f92(f905(x39851,a894)),x39852),x39853))) % 199.88/200.98 [3988]E(f317(f317(f91(f905(x39881,a894)),f317(f73(f905(x39881,a894)),x39882)),x39883),f317(f73(f905(x39881,a894)),f317(f317(f23(f905(x39881,a894)),x39882),x39883))) % 199.88/200.98 [3997]E(f317(f317(f299(x39971),x39972),f317(f317(f23(f905(x39971,a894)),x39973),f317(f317(f299(x39971),x39972),f178(f905(x39971,a894))))),f317(f317(f299(x39971),x39972),x39973)) % 199.88/200.98 [4007]P1(f317(f317(f225(f905(x40071,a894)),x40072),f317(f317(f91(f905(x40071,a894)),x40073),x40072))) % 199.88/200.98 [4008]P1(f317(f317(f225(f905(x40081,a894)),x40082),f317(f317(f91(f905(x40081,a894)),x40082),x40083))) % 199.88/200.98 [4012]E(f317(f317(f92(f905(x40121,a894)),f317(f73(f905(x40121,a894)),x40122)),f317(f73(f905(x40121,a894)),x40123)),f317(f73(f905(x40121,a894)),f317(f317(f91(f905(x40121,a894)),x40122),x40123))) % 199.88/200.98 [4013]E(f317(f317(f91(f905(x40131,a894)),f317(f73(f905(x40131,a894)),x40132)),f317(f73(f905(x40131,a894)),x40133)),f317(f73(f905(x40131,a894)),f317(f317(f92(f905(x40131,a894)),x40132),x40133))) % 199.88/200.98 [4027]P1(f317(f317(f225(f905(x40271,a894)),f317(f162(x40271),x40272)),f317(f162(x40271),f317(f317(f141(x40271),x40273),x40272)))) % 199.88/200.98 [4039]E(f317(f317(f91(f905(x40391,a894)),f317(f317(f23(f905(x40391,a894)),x40392),x40393)),f317(f317(f92(f905(x40391,a894)),x40392),x40393)),x40392) % 199.88/200.98 [4091]E(f317(f317(f9(x40911,a1),f317(f317(f8(a898,a1,x40911),f90(a1)),x40912)),x40913),f317(f90(a1),f317(f317(f9(x40911,a898),x40912),x40913))) % 199.88/200.98 [4092]E(f317(f317(f6(x40921,a1),f317(f317(f8(a898,a1,x40921),f90(a1)),x40922)),x40923),f317(f90(a1),f317(f317(f6(x40921,a898),x40922),x40923))) % 199.88/200.98 [4139]E(f317(f317(f124(x41391),f167(x41391,x41392,x41393)),f317(f317(f128(x41391),f317(f179(f899(x41391)),f167(x41391,x41392,x41393))),x41393)),x41393) % 199.88/200.98 [4143]E(f317(f73(f905(f904(x41431,x41432),a894)),f317(f317(f244(x41431,x41432),x41433),f317(f16(f905(x41432,a894),x41431),f232(f905(x41432,a894))))),f317(f317(f244(x41431,x41432),f317(f73(f905(x41431,a894)),x41433)),f317(f16(f905(x41432,a894),x41431),f232(f905(x41432,a894))))) % 199.88/200.98 [4144]E(f317(f73(f905(f904(x41441,x41442),a894)),f317(f317(f244(x41441,x41442),f232(f905(x41441,a894))),f317(f16(f905(x41442,a894),x41441),x41443))),f317(f317(f244(x41441,x41442),f232(f905(x41441,a894))),f317(f16(f905(x41442,a894),x41441),f317(f73(f905(x41442,a894)),x41443)))) % 199.88/200.98 [4195]E(f317(f317(f34(f905(x41951,a894),f905(x41951,a894)),x41952),f317(f317(f7(f905(x41951,a894),f905(x41951,a894),f905(x41951,a894)),f92(f905(x41951,a894))),x41953)),f317(f317(f92(f905(x41951,a894)),f31(f905(x41951,a894),x41952)),x41953)) % 199.88/200.98 [4201]E(f317(f132(f899(x42011),f899(x42011),f124(x42011),f103(x42011)),f317(f317(f141(f899(x42011)),x42012),x42013)),f317(f317(f124(x42011),x42012),f317(f132(f899(x42011),f899(x42011),f124(x42011),f103(x42011)),x42013))) % 199.88/200.98 [4222]E(f317(f317(f299(f905(x42221,a894)),f317(f275(x42221,x42221,x42222),f317(f317(f299(x42221),x42223),f178(f905(x42221,a894))))),f178(f905(f905(x42221,a894),a894))),f317(f317(f55(x42221),f317(f317(f299(x42221),x42223),f178(f905(x42221,a894)))),x42222)) % 199.88/200.98 [4232]E(f317(f317(f74(a898),f317(f317(f75(a898),x42321),f317(f317(f30(a898),x42322),x42323))),f317(f317(f30(a898),f317(f317(f75(a898),x42321),f40(a898,x42322,x42323))),x42323)),f317(f317(f30(a898),f317(f317(f75(a898),x42321),x42322)),x42323)) % 199.88/200.98 [4233]E(f317(f317(f74(a1),f317(f317(f75(a1),x42331),f317(f317(f30(a1),x42332),x42333))),f317(f317(f30(a1),f317(f317(f75(a1),x42331),f40(a1,x42332,x42333))),x42333)),f317(f317(f30(a1),f317(f317(f75(a1),x42331),x42332)),x42333)) % 199.88/200.98 [4265]E(f317(f317(f23(f905(x42651,a894)),f317(f162(x42651),x42652)),f317(f317(f299(x42651),x42653),f178(f905(x42651,a894)))),f317(f162(x42651),f317(f126(x42651,f317(f317(f8(a894,a894,x42651),a312),f317(a314,x42653))),x42652))) % 199.88/200.98 [4315]E(f317(f317(f124(x43151),f317(f132(f899(x43151),f899(x43151),f124(x43151),f103(x43151)),x43152)),f317(f132(f899(x43151),f899(x43151),f124(x43151),f103(x43151)),x43153)),f317(f132(f899(x43151),f899(x43151),f124(x43151),f103(x43151)),f317(f317(f124(f899(x43151)),x43152),x43153))) % 199.88/200.98 [4318]E(f317(f317(f242(f899(x43181),f899(x43181)),f317(f126(x43181,x43182),x43183)),f317(f126(x43181,f317(f67(a894,a894,x43181,a312),x43182)),x43183)),f156(x43181,x43182,x43183)) % 199.88/200.98 [4321]E(f317(f317(f74(a898),f317(f317(f74(a898),f317(f317(f30(a898),x43211),x43212)),f317(f317(f30(a898),x43213),x43212))),f317(f317(f30(a898),f317(f317(f74(a898),f40(a898,x43211,x43212)),f40(a898,x43213,x43212))),x43212)),f317(f317(f30(a898),f317(f317(f74(a898),x43211),x43213)),x43212)) % 199.88/200.98 [4322]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f30(a1),x43221),x43222)),f317(f317(f30(a1),x43223),x43222))),f317(f317(f30(a1),f317(f317(f74(a1),f40(a1,x43221,x43222)),f40(a1,x43223,x43222))),x43222)),f317(f317(f30(a1),f317(f317(f74(a1),x43221),x43223)),x43222)) % 199.88/200.98 [4375]E(f317(f317(f92(f905(f899(x43751),a894)),f317(f317(f7(f899(x43751),f905(f899(x43751),a894),a894),f319(f899(x43751))),f151(x43751,x43752))),f317(f317(f7(f899(x43751),f905(f899(x43751),a894),a894),f319(f899(x43751))),f151(x43751,x43753))),f150(x43751,f317(f317(f92(f905(x43751,a894)),f317(f317(f7(x43751,f905(x43751,a894),a894),f319(x43751)),x43752)),f317(f317(f7(x43751,f905(x43751,a894),a894),f319(x43751)),x43753)))) % 199.88/200.98 [4387]E(f317(f252(x43871),f317(f317(f18(x43871,a894,a894),f317(f317(f8(a894,f905(a894,a894),x43871),a316),f317(f317(f7(x43871,x43871,a894),a314),x43872))),f317(f317(f7(x43871,f905(x43871,a894),a894),f319(x43871)),x43873))),f317(f317(f299(x43871),x43872),x43873)) % 199.88/200.98 [4407]E(f317(f317(f80(f899(f899(x44071)),f899(f899(x44071))),f49(x44071,x44072)),f317(f317(f18(f899(f899(x44071)),f899(f899(x44071)),f899(f899(x44071))),f317(f317(f8(f899(f899(x44071)),f905(f899(f899(x44071)),f899(f899(x44071))),f899(f899(x44071))),f124(f899(x44071))),f317(f144(f899(x44071),f899(x44071)),f317(f141(x44071),x44073)))),f5(f899(f899(x44071))))),f49(x44071,f317(f317(f141(x44071),x44073),x44072))) % 199.88/200.98 [4410]E(f317(f252(x44101),f317(f317(f18(x44101,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44101),a316),f317(f317(f7(x44101,f905(x44101,a894),a894),f319(x44101)),x44102))),f317(f317(f7(x44101,f905(x44101,a894),a894),f319(x44101)),x44103))),f317(f317(f91(f905(x44101,a894)),x44102),x44103)) % 199.88/200.98 [4411]E(f317(f252(x44111),f317(f317(f18(x44111,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44111),a315),f317(f317(f7(x44111,f905(x44111,a894),a894),f319(x44111)),x44112))),f317(f317(f7(x44111,f905(x44111,a894),a894),f319(x44111)),x44113))),f317(f317(f92(f905(x44111,a894)),x44112),x44113)) % 199.88/200.98 [4500]E(f317(f317(f34(x45001,f905(f905(x45001,a894),a894)),x45002),f317(f317(f7(x45001,f905(f905(x45001,a894),a894),f905(f905(x45001,a894),a894)),f317(f317(f8(f905(x45001,a894),f905(f905(f905(x45001,a894),a894),f905(f905(x45001,a894),a894)),x45001),f299(f905(x45001,a894))),f317(f317(f8(f905(x45001,a894),f905(x45001,a894),x45001),f275(x45001,x45001,x45003)),f317(f317(f7(x45001,f905(x45001,a894),f905(x45001,a894)),f299(x45001)),f178(f905(x45001,a894)))))),f178(f905(f905(x45001,a894),a894)))),f317(f317(f55(x45001),x45002),x45003)) % 199.88/200.98 [4502]E(f317(f317(f191(x45021),f317(f317(f75(a1),f317(f317(f67(f904(a1,a1),a1,x45021,f241(a1,a1)),f202(x45021)),x45022)),f317(f317(f67(f904(a1,a1),a1,x45021,f241(a1,a1)),f202(x45021)),x45023))),f317(f317(f75(a1),f317(f317(f67(f904(a1,a1),a1,x45021,f246(a1,a1)),f202(x45021)),x45022)),f317(f317(f67(f904(a1,a1),a1,x45021,f246(a1,a1)),f202(x45021)),x45023))),f218(x45021,x45022,x45023)) % 199.88/200.98 [4505]E(f317(f252(f899(x45051)),f317(f317(f18(f899(x45051),a894,a894),f317(f317(f8(a894,f905(a894,a894),f899(x45051)),a315),f317(f317(f7(f899(x45051),a898,a894),f317(f317(f8(a898,f905(a898,a894),f899(x45051)),a314),f179(f899(x45051)))),x45052))),f317(f317(f7(f899(x45051),f905(x45051,a894),a894),f317(f317(f8(f905(x45051,a894),f905(f905(x45051,a894),a894),f899(x45051)),f225(f905(x45051,a894))),f162(x45051))),f317(f162(x45051),x45053)))),f317(f162(f899(x45051)),f50(x45051,x45052,x45053))) % 199.88/200.98 [3911]E(f40(a898,f317(f317(f74(a898),f317(f317(f75(a898),x39111),x39112)),x39113),x39112),f40(a898,x39113,x39112)) % 199.88/200.98 [3956]E(f129(a898,f317(f292(a898,f317(f317(f74(a898),x39561),x39562)),x39563)),f317(f317(f128(a898),x39562),f129(a898,f317(f292(a898,x39561),x39563)))) % 199.88/200.98 [3996]E(f317(f317(f74(a1),f317(f90(a1),x39961)),f317(f317(f74(a1),f317(f90(a1),x39962)),x39963)),f317(f317(f74(a1),f317(f90(a1),f317(f317(f74(a898),x39961),x39962))),x39963)) % 199.88/200.98 [4003]E(f317(f317(f23(f905(x40031,a894)),f317(f317(f23(f905(x40031,a894)),x40032),x40033)),x40033),f317(f317(f23(f905(x40031,a894)),x40032),x40033)) % 199.88/200.98 [4004]E(f317(f317(f91(f905(x40041,a894)),f317(f317(f23(f905(x40041,a894)),x40042),x40043)),x40043),f317(f317(f91(f905(x40041,a894)),x40042),x40043)) % 199.88/200.98 [4028]E(f317(f317(f279(x40281,x40281,x40282),f297(x40281,f178(f905(f904(x40281,x40281),a894)))),x40283),x40283) % 199.88/200.98 [4036]E(f317(f317(f91(f905(x40361,a894)),f317(f271(x40361),x40362)),f317(f271(x40361),x40363)),f317(f271(x40361),f317(f317(f91(f905(f904(x40361,x40361),a894)),x40362),x40363))) % 199.88/200.98 [4047]E(f256(x40471,f317(f317(f141(f904(a89,x40471)),f317(f317(f242(a89,x40471),f2(a89)),x40472)),x40473)),f256(x40471,x40473)) % 199.88/200.98 [4049]E(f317(f317(f92(f905(x40491,a894)),f32(f905(x40491,a894),x40492)),f32(f905(x40491,a894),x40493)),f32(f905(x40491,a894),f317(f317(f91(f905(f905(x40491,a894),a894)),x40492),x40493))) % 199.88/200.98 [4050]E(f317(f317(f91(f905(x40501,a894)),f31(f905(x40501,a894),x40502)),f31(f905(x40501,a894),x40503)),f31(f905(x40501,a894),f317(f317(f91(f905(f905(x40501,a894),a894)),x40502),x40503))) % 199.88/200.98 [4088]E(f317(f317(f279(x40881,x40881,x40881),f317(f317(f173(f904(x40881,x40881),a894),x40882),x40883)),x40883),f317(f317(f173(f904(x40881,x40881),a894),f317(a102,x40882)),x40883)) % 199.88/200.98 [4131]P1(f317(f317(f225(f905(x41311,a894)),f317(f317(f23(f905(x41311,a894)),x41312),x41313)),x41312)) % 199.88/200.98 [4132]P1(f317(f317(f225(f905(x41321,a894)),f317(f317(f92(f905(x41321,a894)),x41322),x41323)),x41323)) % 199.88/200.98 [4133]P1(f317(f317(f225(f905(x41331,a894)),f317(f317(f92(f905(x41331,a894)),x41332),x41333)),x41332)) % 199.88/200.98 [4157]E(f297(x41571,f317(f317(f91(f905(f904(x41571,x41571),a894)),f297(x41571,x41572)),f297(x41571,x41573))),f297(x41571,f317(f317(f91(f905(f904(x41571,x41571),a894)),x41572),x41573))) % 199.88/200.98 [4161]E(f31(f905(x41611,a894),f317(f317(f299(f905(x41611,a894)),x41612),f317(f317(f299(f905(x41611,a894)),x41613),f178(f905(f905(x41611,a894),a894))))),f317(f317(f91(f905(x41611,a894)),x41612),x41613)) % 199.88/200.98 [4162]E(f32(f905(x41621,a894),f317(f317(f299(f905(x41621,a894)),x41622),f317(f317(f299(f905(x41621,a894)),x41623),f178(f905(f905(x41621,a894),a894))))),f317(f317(f92(f905(x41621,a894)),x41622),x41623)) % 199.88/200.98 [4167]E(f317(f317(f279(x41671,x41671,x41671),f317(f317(f173(f904(x41671,x41671),a894),x41672),x41673)),x41673),f317(f317(f279(x41671,x41671,x41671),x41673),f317(f317(f173(f904(x41671,x41671),a894),x41672),x41673))) % 199.88/200.98 [4236]E(f317(f317(f91(f905(x42361,a894)),f317(f252(x42361),f317(f317(f7(x42361,x42361,a894),a314),x42362))),x42363),f317(f317(f299(x42361),x42362),x42363)) % 199.88/200.98 [4238]E(f317(a95,f317(f317(f9(x42381,a1),f317(f317(f8(a898,a1,x42381),f90(a1)),x42382)),x42383)),f317(f317(f9(x42381,a898),x42382),x42383)) % 199.88/200.98 [4239]E(f317(a95,f317(f317(f6(x42391,a1),f317(f317(f8(a898,a1,x42391),f90(a1)),x42392)),x42393)),f317(f317(f6(x42391,a898),x42392),x42393)) % 199.88/200.98 [4312]E(f317(f146(f899(x43121),x43121,f317(f161(x43121),x43122),f317(f16(f905(f899(x43121),f899(x43121)),x43121),f317(f317(f7(f899(x43121),f899(x43121),f899(x43121)),f124(x43121)),x43122))),x43123),f317(f161(x43121),f317(f317(f124(x43121),x43123),x43122))) % 199.88/200.98 [4340]P1(f317(f317(f225(f905(f905(x43401,a894),a894)),f317(f317(f91(f905(f905(x43401,a894),a894)),f317(f298(x43401),x43402)),f317(f298(x43401),x43403))),f317(f298(x43401),f317(f317(f91(f905(x43401,a894)),x43402),x43403)))) % 199.88/200.98 [4429]E(f317(f252(x44291),f317(f317(f18(x44291,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44291),a315),f317(f317(f7(x44291,f905(x44291,a894),a894),f319(x44291)),x44292))),f317(f317(f8(a894,a894,x44291),a312),f317(f317(f7(x44291,f905(x44291,a894),a894),f319(x44291)),x44293)))),f317(f317(f23(f905(x44291,a894)),x44292),x44293)) % 199.88/200.98 [4453]E(f317(f29(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,a898,a894),f226(a898)),f317(f179(f899(x44531)),x44532)))),f317(f317(f8(x44531,a894,a898),x44533),f317(f154(x44531),x44532))))),f317(f179(f899(x44531)),f317(f126(x44531,x44533),x44532))) % 199.88/200.98 [4455]E(f317(f179(f899(x44551)),f166(x44551,x44552,x44553)),f317(f29(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,a898,a894),f226(a898)),f317(f179(f899(x44551)),x44552)))),f317(f317(f7(a898,f905(a898,a894),a894),f319(a898)),x44553))))) % 199.88/200.98 [4551]E(f317(f317(f92(f905(f904(f899(x45511),f899(x45511)),a894)),f317(f300(f904(f904(x45511,f899(x45511)),f904(x45511,f899(x45511))),f904(f899(x45511),f899(x45511)),f248(f904(x45511,f899(x45511)),f899(x45511),f904(x45511,f899(x45511)),f899(x45511),f317(f247(x45511,f899(x45511),f899(x45511)),f141(x45511)),f317(f247(x45511,f899(x45511),f899(x45511)),f141(x45511)))),f309(x45511,f899(x45511),x45512,f317(f133(x45511,x45512),x45513)))),f317(f252(f904(f899(x45511),f899(x45511))),f317(f247(f899(x45511),f899(x45511),a894),f317(f317(f7(f899(x45511),f905(f899(x45511),a894),f905(f899(x45511),a894)),f317(f317(f8(f905(a894,a894),f905(f905(f899(x45511),a894),f905(f899(x45511),a894)),f899(x45511)),f8(a894,a894,f899(x45511))),f317(f317(f8(a894,f905(a894,a894),f899(x45511)),a315),f317(f317(f7(f899(x45511),a898,a894),f317(f317(f8(a898,f905(a898,a894),f899(x45511)),a314),f179(f899(x45511)))),f317(a102,x45513))))),f317(f317(f7(f899(x45511),a898,a894),f317(f317(f8(a898,f905(a898,a894),f899(x45511)),a314),f179(f899(x45511)))),f317(a102,x45513)))))),f317(f133(x45511,x45512),f317(a102,x45513))) % 199.88/200.98 [4051]E(f40(a898,f317(a102,f317(f317(f74(a898),f317(f317(f75(a898),x40511),x40512)),x40513)),x40512),f40(a898,f317(a102,x40513),x40512)) % 199.88/200.98 [4298]E(f317(f252(x42981),f317(f317(f18(x42981,a894,a894),f317(f317(f8(a894,f905(a894,a894),x42981),a315),x42982)),x42983)),f317(f317(f92(f905(x42981,a894)),f317(f252(x42981),x42982)),f317(f252(x42981),x42983))) % 199.88/200.98 [4299]E(f317(f252(x42991),f317(f317(f18(x42991,a894,a894),f317(f317(f8(a894,f905(a894,a894),x42991),a316),x42992)),x42993)),f317(f317(f91(f905(x42991,a894)),f317(f252(x42991),x42992)),f317(f252(x42991),x42993))) % 199.88/200.98 [4301]E(f317(f317(f124(x43011),f317(f317(f128(x43011),f40(a898,x43012,f317(f179(f899(x43011)),x43013))),x43013)),f317(f317(f165(x43011),f40(a898,x43012,f317(f179(f899(x43011)),x43013))),x43013)),f317(f317(f317(f173(f899(x43011),f899(x43011)),x43012),f157(x43011)),x43013)) % 199.88/200.98 [4307]E(f317(f252(x43071),f317(f317(f18(x43071,a894,a894),f317(f317(f8(a894,f905(a894,a894),x43071),a320),x43072)),x43073)),f317(f317(f91(f905(x43071,a894)),f317(f73(f905(x43071,a894)),f317(f252(x43071),x43072))),f317(f252(x43071),x43073))) % 199.88/200.98 [4323]E(f317(f317(f74(a898),f317(f179(f899(x43231)),f317(f126(x43231,x43232),x43233))),f317(f179(f899(x43231)),f317(f126(x43231,f317(f317(f8(a894,a894,x43231),a312),x43232)),x43233))),f317(f179(f899(x43231)),x43233)) % 199.88/200.98 [4346]P1(f317(f317(f225(f905(x43461,a894)),f317(f317(f91(f905(x43461,a894)),f32(f905(x43461,a894),x43462)),f32(f905(x43461,a894),x43463))),f32(f905(x43461,a894),f317(f317(f92(f905(f905(x43461,a894),a894)),x43462),x43463)))) % 199.88/200.98 [4360]E(f317(f162(x43601),f317(f126(x43601,f317(f317(f8(a894,a894,x43601),a312),f317(f317(f7(x43601,x43601,a894),a314),x43602))),x43603)),f317(f317(f23(f905(x43601,a894)),f317(f162(x43601),x43603)),f317(f317(f299(x43601),x43602),f178(f905(x43601,a894))))) % 199.88/200.98 [4369]P1(f317(f317(f225(f905(f904(x43691,x43691),a894)),f317(f317(f91(f905(f904(x43691,x43691),a894)),f297(x43691,x43692)),f297(x43691,x43693))),f297(x43691,f317(f317(f91(f905(f904(x43691,x43691),a894)),x43692),x43693)))) % 199.88/200.98 [4392]E(f317(f317(f75(a898),f317(a102,f317(a102,f2(a898)))),f317(f317(f6(a898,a898),f317(f317(f8(a898,a898,a898),f317(f74(a898),x43921)),f317(f317(f7(a898,a898,a898),f75(a898)),x43922))),f317(f272(a898),x43923))),f317(f317(f75(a898),x43923),f317(f317(f74(a898),x43921),f317(f317(f74(a898),x43921),f317(f317(f75(a898),f317(f317(f23(a898),x43923),f72(a898))),x43922))))) % 199.88/200.98 [4402]E(f317(f252(x44021),f317(f317(f18(x44021,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44021),a315),f317(f317(f7(x44021,f905(x44021,a894),a894),f319(x44021)),f317(f162(x44021),x44022)))),x44023)),f317(f162(x44021),f317(f126(x44021,x44023),x44022))) % 199.88/200.98 [4550]E(f317(f252(x45501),f317(f317(f8(f905(a898,a894),a894,x45501),f81(a898)),f317(f317(f7(x45501,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),x45501),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),x45501),f317(f8(a894,f905(a894,a894),a898),a315)),f317(f317(f7(x45501,f905(a898,x45501),f905(a898,a894)),f317(f317(f8(f905(x45501,a894),f905(f905(a898,x45501),f905(a898,a894)),x45501),f8(x45501,a894,a898)),a314)),f317(f154(x45501),x45502))))),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,a898,a894),f226(a898)),f317(f179(f899(x45501)),x45502)))),f317(f317(f7(a898,f905(a898,a894),a894),f319(a898)),x45503))))),f317(f162(x45501),f166(x45501,x45502,x45503))) % 199.88/200.98 [4442]E(f317(f252(x44421),f317(f317(f18(x44421,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44421),a320),f317(f317(f8(a894,a894,x44421),a312),f317(f317(f7(x44421,x44421,a894),a314),x44422)))),x44423)),f317(f317(f299(x44421),x44422),f317(f252(x44421),x44423))) % 199.88/200.98 [4474]E(f317(f317(f144(f904(x44741,a898),x44741),f241(x44741,a898)),f317(f126(f904(x44741,a898),f317(f317(f7(f904(x44741,a898),f905(a898,a894),a894),f317(f317(f8(a898,f905(f905(a898,a894),a894),f904(x44741,a898)),f319(a898)),f246(x44741,a898))),x44742)),f317(f317(f171(x44741,a898),x44743),f129(a898,f317(f292(a898,f2(a898)),f317(f179(f899(x44741)),x44743)))))),f166(x44741,x44743,x44742)) % 199.88/200.98 [4501]E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f6(a898,a1),f317(f317(f8(a1,a1,a898),f317(f74(a1),x45011)),f317(f317(f7(a898,a1,a1),f317(f317(f8(a1,f905(a1,a1),a898),f75(a1)),f90(a1))),x45012))),f317(f272(a898),x45013))),f317(f317(f75(a1),f317(f90(a1),x45013)),f317(f317(f74(a1),x45011),f317(f317(f74(a1),x45011),f317(f317(f75(a1),f317(f90(a1),f317(f317(f23(a898),x45013),f72(a898)))),x45012))))) % 199.88/200.98 [4543]E(f317(f252(f904(x45431,x45432)),f317(f247(x45431,x45432,a894),f317(f317(f7(x45431,f905(f904(x45432,x45431),a894),f905(x45432,a894)),f317(f317(f8(f905(x45432,f905(f905(f904(x45432,x45431),a894),a894)),f905(f905(f904(x45432,x45431),a894),f905(x45432,a894)),x45431),f7(x45432,f905(f904(x45432,x45431),a894),a894)),f317(f317(f8(f905(x45432,f904(x45432,x45431)),f905(x45432,f905(f905(f904(x45432,x45431),a894),a894)),x45431),f317(f8(f904(x45432,x45431),f905(f905(f904(x45432,x45431),a894),a894),x45432),f319(f904(x45432,x45431)))),f317(f7(x45432,x45431,f904(x45432,x45431)),f242(x45432,x45431))))),x45433))),f317(f276(x45432,x45431),x45433)) % 199.88/200.98 [4563]E(f317(f252(f899(x45631)),f317(f317(f8(f905(x45631,a894),a894,f899(x45631)),f81(x45631)),f317(f317(f8(f905(x45631,f905(f899(x45631),a894)),f905(x45631,a894),f899(x45631)),f317(f8(f905(f899(x45631),a894),a894,x45631),f81(f899(x45631)))),f317(f317(f7(f899(x45631),f905(x45631,f905(f899(x45631),a894)),f905(x45631,f905(f899(x45631),a894))),f317(f317(f8(f905(x45631,f905(f905(f899(x45631),a894),f905(f899(x45631),a894))),f905(f905(x45631,f905(f899(x45631),a894)),f905(x45631,f905(f899(x45631),a894))),f899(x45631)),f18(x45631,f905(f899(x45631),a894),f905(f899(x45631),a894))),f317(f317(f8(f905(x45631,f905(f899(x45631),f905(a894,a894))),f905(x45631,f905(f905(f899(x45631),a894),f905(f899(x45631),a894))),f899(x45631)),f317(f8(f905(f899(x45631),f905(a894,a894)),f905(f905(f899(x45631),a894),f905(f899(x45631),a894)),x45631),f18(f899(x45631),a894,a894))),f317(f317(f8(f905(x45631,f905(f899(x45631),a894)),f905(x45631,f905(f899(x45631),f905(a894,a894))),f899(x45631)),f317(f8(f905(f899(x45631),a894),f905(f899(x45631),f905(a894,a894)),x45631),f317(f8(a894,f905(a894,a894),f899(x45631)),a315))),f317(f317(f7(f899(x45631),f905(x45631,f905(f899(x45631),f899(x45631))),f905(x45631,f905(f899(x45631),a894))),f317(f317(f8(f905(f905(f899(x45631),f899(x45631)),f905(f899(x45631),a894)),f905(f905(x45631,f905(f899(x45631),f899(x45631))),f905(x45631,f905(f899(x45631),a894))),f899(x45631)),f8(f905(f899(x45631),f899(x45631)),f905(f899(x45631),a894),x45631)),f317(f317(f8(f905(f899(x45631),a894),f905(f905(f899(x45631),f899(x45631)),f905(f899(x45631),a894)),f899(x45631)),f8(f899(x45631),a894,f899(x45631))),a314))),f141(x45631)))))),f317(f317(f7(x45631,f905(f899(x45631),a894),f905(f899(x45631),a894)),f317(f317(f8(f905(a894,a894),f905(f905(f899(x45631),a894),f905(f899(x45631),a894)),x45631),f8(a894,a894,f899(x45631))),f317(f317(f8(a894,f905(a894,a894),x45631),a315),f317(f317(f7(x45631,f905(x45631,a894),a894),f319(x45631)),x45632)))),f317(f317(f7(f899(x45631),f905(f899(x45631),a894),a894),f319(f899(x45631))),x45633)))))),f164(x45631,x45632,x45633)) % 199.88/200.98 [4560]E(f317(f317(f80(a1,f904(a1,a1)),f317(f317(f23(a1),x45601),x45602)),f317(f317(f7(a1,f904(a1,a1),f904(a1,a1)),f317(f317(f18(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f317(f317(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f317(f225(a1),f2(a1)))),f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x45603)),f72(a1))))),f317(f317(f242(a1,a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x45603)),x45601))),f317(f38(x45602),f317(f317(f242(a1,a1),x45603),x45601))) % 199.88/200.98 [3613]E(f106(x36131,f317(x36132,x36133),f317(x36134,x36133)),f317(f193(x36131,x36132,x36134),x36133)) % 199.88/200.98 [3666]E(f317(f317(f235(x36661,x36662,x36663),x36664),f2(a898)),x36662) % 199.88/200.98 [3704]E(f175(x37041,x37042,x37043,f317(a102,x37044)),f317(x37043,x37044)) % 199.88/200.98 [3745]E(f160(x37451,x37452,f160(x37451,x37453,x37454)),f160(x37451,x37453,f160(x37451,x37452,x37454))) % 199.88/200.98 [3746]E(f116(x37461,x37462,f106(x37461,x37463,x37464)),f106(x37461,f116(x37461,x37462,x37463),x37464)) % 199.88/200.98 [3879]E(f317(f146(x38791,x38792,x38793,x38794),f103(x38792)),x38793) % 199.88/200.98 [3880]E(f317(f132(x38801,x38802,x38803,x38804),f103(x38802)),x38804) % 199.88/200.98 [3917]E(f317(f179(f902(x39171,x39172)),f210(x39171,x39172,x39173,x39174)),f2(a898)) % 199.88/200.98 [3940]E(f317(f247(x39401,x39402,x39403),f245(x39401,x39402,x39403,x39404)),x39404) % 199.88/200.98 [3984]E(f317(f317(f124(x39841),f159(x39841,x39842,x39843)),f159(x39841,x39844,x39843)),f317(f317(f124(x39841),f159(x39841,x39844,x39843)),f159(x39841,x39842,x39843))) % 199.88/200.98 [4071]E(f317(f317(f249(x40711,x40712,x40713,f904(x40712,x40713)),x40714),f242(x40712,x40713)),x40714) % 199.88/200.98 [4081]E(f117(x40811,x40812,x40813,x40814,f109(x40812)),x40813) % 199.88/200.98 [4087]E(f69(x40871,x40872,x40873,x40874,f317(x40873,x40874)),x40873) % 199.88/200.98 [4353]P41(x43531,x43532,x43533,x43534,f178(f905(x43531,a894)),x43534) % 199.88/200.98 [3420]E(f317(f317(f16(x34201,x34202),x34203),x34204),x34203) % 199.88/200.98 [3694]E(f160(x36941,x36942,f317(f126(x36941,x36943),x36944)),f317(f126(x36941,x36943),f160(x36941,x36942,x36944))) % 199.88/200.98 [3728]E(f317(f317(f58(x37281,x37282,x37283),x37284),f178(f905(x37281,a894))),x37284) % 199.88/200.98 [3752]E(f317(f317(f154(x37521),f317(f317(f141(x37521),x37522),x37523)),f317(a102,x37524)),f317(f317(f154(x37521),x37523),x37524)) % 199.88/200.98 [3819]E(f317(f317(x38191,x38192),f317(f174(x38193,x38194,x38191),x38192)),f317(f174(x38193,x38194,x38191),f317(a102,x38192))) % 199.88/200.98 [3860]E(f245(x38601,x38602,x38603,f317(f247(x38601,x38602,x38603),x38604)),x38604) % 199.88/200.98 [3915]E(f317(f317(f149(x39151,f317(f317(f141(x39151),x39152),x39153)),f2(a898)),x39154),f317(f317(f141(x39151),x39154),x39153)) % 199.88/200.98 [3925]E(f317(f317(f34(f905(x39251,a894),f905(x39252,a894)),x39253),f300(x39251,x39252,x39254)),f317(f300(x39251,x39252,x39254),f31(f905(x39251,a894),x39253))) % 199.88/200.98 [3926]E(f317(f317(f34(f905(x39261,a894),f905(x39262,a894)),x39263),f301(x39262,x39261,x39264)),f317(f301(x39262,x39261,x39264),f31(f905(x39261,a894),x39263))) % 199.88/200.98 [3951]E(f110(x39511,f120(x39512,f900(x39511),x39513,x39514)),f317(f108(x39512,x39511,x39514),x39513)) % 199.88/200.98 [4024]E(f317(f115(x40241,x40242),f116(x40241,x40243,x40244)),f317(f317(f74(a898),f317(f317(f74(a898),f317(x40242,x40243)),f317(f115(x40241,x40242),x40244))),f317(a102,f2(a898)))) % 199.88/200.98 [4046]E(f317(f132(x40461,x40462,f317(f7(x40462,x40461,x40461),x40463),x40464),f317(f158(x40462),f103(x40462))),x40464) % 199.88/200.98 [4151]E(f213(x41511,f904(x41512,f900(x41512)),x41513,f317(f247(x41512,f900(x41512),x41511),x41514),f317(f125(x41512),f109(x41512))),x41513) % 199.88/200.98 [4283]E(f317(f247(x42831,x42832,x42833),f317(f317(f8(f905(x42832,f904(x42831,x42832)),f905(x42832,x42833),x42831),f317(f8(f904(x42831,x42832),x42833,x42832),x42834)),f242(x42831,x42832))),x42834) % 199.88/200.98 [3604]E(f317(f246(x36041,x36042),f317(f317(f242(x36041,x36042),x36043),x36044)),x36044) % 199.88/200.98 [3605]E(f317(f241(x36051,x36052),f317(f317(f242(x36051,x36052),x36053),x36054)),x36053) % 199.88/200.98 [3638]E(f317(f179(f899(x36381)),f317(f317(f149(x36381,x36382),x36383),x36384)),f317(f179(f899(x36381)),x36382)) % 199.88/200.98 [3639]E(f317(f179(f899(x36391)),f317(f317(f144(x36392,x36391),x36393),x36394)),f317(f179(f899(x36392)),x36394)) % 199.88/200.98 [3660]E(f317(f317(f128(x36601),f317(a102,x36602)),f317(f317(f141(x36601),x36603),x36604)),f317(f317(f128(x36601),x36602),x36604)) % 199.88/200.98 [3723]E(f317(f317(f165(x37231),x37232),f159(x37231,x37233,x37234)),f159(x37231,f317(f317(f229(a898),x37232),x37233),x37234)) % 199.88/200.98 [3724]E(f317(f317(f128(x37241),x37242),f159(x37241,x37243,x37244)),f159(x37241,f317(f317(f23(a898),x37243),x37242),x37244)) % 199.88/200.98 [3730]E(f317(f317(f299(x37301),x37302),f317(f317(f299(x37301),x37303),x37304)),f317(f317(f299(x37301),x37303),f317(f317(f299(x37301),x37302),x37304))) % 199.88/200.98 [3734]E(f317(f317(f144(x37341,x37342),x37343),f104(x37341,x37344)),f104(x37342,f317(f317(f144(x37341,x37342),x37343),x37344))) % 199.88/200.98 [3750]E(f317(f158(x37501),f317(f317(f144(x37502,x37501),x37503),x37504)),f317(f317(f144(x37502,x37501),x37503),f317(f158(x37502),x37504))) % 199.88/200.98 [3751]E(f317(f317(f144(x37511,x37512),x37513),f317(f161(x37511),x37514)),f317(f161(x37512),f317(f317(f144(x37511,x37512),x37513),x37514))) % 199.88/200.98 [3766]E(f317(f317(f165(x37661),f317(a102,x37662)),f317(f317(f141(x37661),x37663),x37664)),f317(f317(f141(x37661),x37663),f317(f317(f165(x37661),x37662),x37664))) % 199.88/200.98 [3769]E(f317(f162(x37691),f317(f317(f144(x37692,x37691),x37693),x37694)),f317(f300(x37692,x37691,x37693),f317(f162(x37692),x37694))) % 199.88/200.98 [3782]E(f317(f317(f144(x37821,x37822),f317(f16(x37822,x37821),x37823)),x37824),f159(x37822,f317(f179(f899(x37821)),x37824),x37823)) % 199.88/200.98 [3818]E(f17(x38181,x38182,x38183,f317(a3,f317(a102,f317(a20,x38184)))),f317(x38183,x38184)) % 199.88/200.98 [3822]E(f317(f317(f124(x38221),f317(f126(x38221,x38222),x38223)),f317(f126(x38221,x38222),x38224)),f317(f126(x38221,x38222),f317(f317(f124(x38221),x38223),x38224))) % 199.88/200.98 [3834]E(f142(x38341,f317(f317(f144(x38342,x38341),x38343),f142(x38342,x38344))),f142(x38341,f317(f317(f144(x38342,x38341),x38343),x38344))) % 199.88/200.98 [3849]E(f317(f276(x38491,x38491),f317(f317(f278(x38492,x38491),x38493),x38494)),f317(f317(f278(x38492,x38491),f317(f276(x38492,x38492),x38493)),x38494)) % 199.88/200.98 [3861]E(f317(f317(f279(x38611,x38612,x38613),x38614),f178(f905(f904(x38612,x38613),a894))),f178(f905(f904(x38611,x38613),a894))) % 199.88/200.98 [3862]E(f317(f317(f165(x38621),f317(f317(f23(a898),x38622),x38623)),f317(f317(f128(x38621),x38623),x38624)),f317(f317(f128(x38621),x38623),f317(f317(f165(x38621),x38622),x38624))) % 199.88/200.98 [3881]E(f317(f317(f124(x38811),f159(x38811,x38812,x38813)),f159(x38811,x38814,x38813)),f159(x38811,f317(f317(f74(a898),x38812),x38814),x38813)) % 199.88/200.98 [3882]E(f317(f317(f317(f268(x38821),x38822),x38823),x38824),f317(f242(f905(a89,f905(a894,f901(f900(x38821)))),f904(a89,a89)),f317(f37(x38821),x38822))) % 199.88/200.98 [3908]E(f32(f905(x39081,a894),f317(f300(x39082,f905(x39081,a894),x39083),x39084)),f317(f317(f35(x39082,f905(x39081,a894)),x39084),x39083)) % 199.88/200.98 [3909]E(f31(f905(x39091,a894),f317(f300(x39092,f905(x39091,a894),x39093),x39094)),f317(f317(f34(x39092,f905(x39091,a894)),x39094),x39093)) % 199.88/200.98 [3910]E(f317(f179(f899(f904(x39101,x39102))),f317(f317(f171(x39101,x39102),x39103),x39104)),f317(f317(f229(a898),f317(f179(f899(x39101)),x39103)),f317(f179(f899(x39102)),x39104))) % 199.88/200.98 [3912]E(f317(f301(x39121,x39122,x39123),f317(f73(f905(x39122,a894)),x39124)),f317(f73(f905(x39121,a894)),f317(f301(x39121,x39122,x39123),x39124))) % 199.88/200.98 [3961]E(f317(f301(x39611,x39612,x39613),f317(f252(x39612),x39614)),f317(f252(x39611),f317(f317(f8(x39612,a894,x39611),x39614),x39613))) % 199.88/200.98 [3979]E(f317(f317(f154(x39791),f317(f317(f124(x39791),x39792),f317(f317(f141(x39791),x39793),x39794))),f317(f179(f899(x39791)),x39792)),x39793) % 199.88/200.98 [4001]E(f317(f300(x40011,x40012,x40013),f317(f301(x40011,x40012,x40013),x40014)),f317(f317(f92(f905(x40012,a894)),x40014),f317(f300(x40011,x40012,x40013),f232(f905(x40011,a894))))) % 199.88/200.98 [4020]P1(f317(f317(f319(x40201),f317(x40202,x40203)),f317(f300(x40204,x40201,x40202),f232(f905(x40204,a894))))) % 199.88/200.98 [4029]E(f19(x40291,x40292,x40293,f317(a3,f317(a102,f317(a20,x40294)))),f317(f317(x40293,x40294),f19(x40291,x40292,x40293,x40294))) % 199.88/200.98 [4033]E(f317(f317(f124(x40331),f159(x40331,x40332,x40333)),f317(f317(f141(x40331),x40333),x40334)),f317(f317(f141(x40331),x40333),f317(f317(f124(x40331),f159(x40331,x40332,x40333)),x40334))) % 199.88/200.98 [4035]E(f317(f317(f244(x40351,x40352),f317(f162(x40351),x40353)),f317(f16(f905(x40352,a894),x40351),f317(f162(x40352),x40354))),f317(f162(f904(x40351,x40352)),f54(x40351,x40352,x40353,x40354))) % 199.88/200.98 [4048]E(f145(x40481,x40482,f317(f317(f141(x40481),x40483),x40484)),f317(f317(f74(a898),f317(f317(f74(a898),f317(x40482,x40483)),f145(x40481,x40482,x40484))),f317(a102,f2(a898)))) % 199.88/200.98 [4062]E(f175(f899(x40621),f317(f317(f141(x40621),x40622),x40623),f317(f317(f7(a898,f899(x40621),f899(x40621)),f128(x40621)),x40623),x40624),f317(f317(f128(x40621),x40624),f317(f317(f141(x40621),x40622),x40623))) % 199.88/200.98 [4063]P24(x40631,f904(x40632,x40631),f321(x40633,x40634,x40632,x40631),f317(f317(f34(x40632,f905(x40631,a894)),x40634),x40633)) % 199.88/200.98 [4072]E(f317(f317(f23(f905(x40721,a894)),f317(f317(f23(f905(x40721,a894)),x40722),x40723)),f317(f317(f299(x40721),x40724),f178(f905(x40721,a894)))),f317(f317(f23(f905(x40721,a894)),x40722),f317(f317(f299(x40721),x40724),x40723))) % 199.88/200.98 [4085]E(f317(f317(f173(f905(x40851,x40852),f905(x40851,x40852)),x40853),f67(x40852,x40852,x40851,x40854)),f67(x40852,x40852,x40851,f317(f317(f173(x40852,x40852),x40853),x40854))) % 199.88/200.98 [4156]E(f317(f317(f317(f173(f899(x41561),f899(x41561)),x41562),f157(x41561)),f317(f317(f317(f173(f899(x41561),f899(x41561)),x41563),f157(x41561)),x41564)),f317(f317(f317(f173(f899(x41561),f899(x41561)),f317(f317(f74(a898),x41562),x41563)),f157(x41561)),x41564)) % 199.88/200.98 [4241]P1(f317(f317(f225(f905(x42411,a894)),f317(f162(x42411),f317(f317(f149(x42411,x42412),x42413),x42414))),f317(f317(f299(x42411),x42414),f317(f162(x42411),x42412)))) % 199.88/200.98 [4273]E(f317(f317(f34(f905(x42731,a894),f905(f904(x42731,x42732),a894)),x42733),f317(f317(f7(f905(x42731,a894),f905(x42731,f905(x42732,a894)),f905(f904(x42731,x42732),a894)),f244(x42731,x42732)),x42734)),f317(f317(f244(x42731,x42732),f31(f905(x42731,a894),x42733)),x42734)) % 199.88/200.98 [4311]E(f199(x43111,x43112,x43113,f317(f67(x43112,f905(a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(x43112))))),x43111,f198(x43112)),x43114)),f200(x43111,x43112,x43114,x43113)) % 199.88/200.98 [4326]E(f195(x43261,x43262,x43263,f317(f67(x43262,f905(a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(f901(x43262)))))),x43261,f194(x43262)),x43264)),f196(x43261,x43262,x43264,x43263)) % 199.88/200.98 [4331]P1(f317(f60(x43311,x43312,x43313,x43314,f178(f905(x43311,a894))),x43314)) % 199.88/200.98 [4370]E(f317(f317(f34(x43701,f905(x43702,a894)),x43703),f317(f317(f7(x43701,f905(x43702,a894),f905(x43702,a894)),f317(f317(f8(x43702,f905(f905(x43702,a894),f905(x43702,a894)),x43701),f299(x43702)),x43704)),f178(f905(x43702,a894)))),f317(f300(x43701,x43702,x43704),x43703)) % 199.88/200.98 [4377]P1(f317(f317(f225(f905(x43771,a894)),f317(f274(x43772,x43771),f317(f317(f92(f905(f904(x43772,x43771),a894)),x43773),x43774))),f317(f317(f92(f905(x43771,a894)),f317(f274(x43772,x43771),x43773)),f317(f274(x43772,x43771),x43774)))) % 199.88/200.98 [4378]P1(f317(f317(f225(f905(x43781,a894)),f317(f254(x43781,x43782),f317(f317(f92(f905(f904(x43781,x43782),a894)),x43783),x43784))),f317(f317(f92(f905(x43781,a894)),f317(f254(x43781,x43782),x43783)),f317(f254(x43781,x43782),x43784)))) % 199.88/200.98 [4438]P1(f317(f317(f225(f905(f904(x44381,x44382),a894)),f317(f300(x44382,f904(x44381,x44382),f321(x44383,x44384,x44381,x44382)),f317(f317(f34(x44381,f905(x44382,a894)),x44384),x44383))),f317(f317(f244(x44381,x44382),x44384),x44383))) % 199.88/200.98 [4439]E(f317(f108(x44391,f904(x44391,x44392),x44393),f317(f317(f8(f905(x44392,f900(f904(x44391,x44392))),f900(f904(x44391,x44392)),x44391),f108(x44392,f904(x44391,x44392),x44394)),f317(f317(f8(f905(x44392,f904(x44391,x44392)),f905(x44392,f900(f904(x44391,x44392))),x44391),f317(f8(f904(x44391,x44392),f900(f904(x44391,x44392)),x44392),f119(f904(x44391,x44392)))),f242(x44391,x44392)))),f121(x44391,x44392,x44393,x44394)) % 199.88/200.98 [4440]E(f266(x44401,x44402,x44403,f317(f67(x44402,f905(a89,f905(a89,f905(f904(a89,a89),f904(f905(a89,f905(a894,f901(f900(x44402)))),f904(a89,a89))))),x44401,f268(x44402)),x44404)),f269(x44401,x44402,x44404,x44403)) % 199.88/200.98 [4480]E(f79(f904(x44801,x44802),f317(f247(x44801,x44802,a894),f317(f317(f7(x44801,f905(x44802,a894),f905(x44802,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x44802,a894),f905(x44802,a894)),x44801),f8(a894,a894,x44802)),f317(f317(f8(a894,f905(a894,a894),x44801),a315),f317(a314,x44803)))),f317(a314,x44804)))),f317(f317(f242(x44801,x44802),x44803),x44804)) % 199.88/200.98 [4481]E(f84(f904(x44811,x44812),f317(f247(x44811,x44812,a894),f317(f317(f7(x44811,f905(x44812,a894),f905(x44812,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x44812,a894),f905(x44812,a894)),x44811),f8(a894,a894,x44812)),f317(f317(f8(a894,f905(a894,a894),x44811),a315),f317(a314,x44813)))),f317(a314,x44814)))),f317(f317(f242(x44811,x44812),x44813),x44814)) % 199.88/200.98 [4552]E(f317(f317(f247(f899(x45521),f899(x45521),f904(f899(x45521),f899(x45521))),f317(f317(f18(f899(x45521),f905(f899(x45521),f904(f899(x45521),f899(x45521))),f905(f899(x45521),f904(f899(x45521),f899(x45521)))),f317(f317(f8(f905(f899(x45521),f905(f904(f899(x45521),f899(x45521)),f904(f899(x45521),f899(x45521)))),f905(f905(f899(x45521),f904(f899(x45521),f899(x45521))),f905(f899(x45521),f904(f899(x45521),f899(x45521)))),f899(x45521)),f18(f899(x45521),f904(f899(x45521),f899(x45521)),f904(f899(x45521),f899(x45521)))),f317(f317(f8(f905(f899(x45521),f904(f899(x45521),f899(x45521))),f905(f899(x45521),f905(f904(f899(x45521),f899(x45521)),f904(f899(x45521),f899(x45521)))),f899(x45521)),f317(f8(f904(f899(x45521),f899(x45521)),f905(f904(f899(x45521),f899(x45521)),f904(f899(x45521),f899(x45521))),f899(x45521)),f317(f86(f904(f899(x45521),f899(x45521))),f317(x45522,x45523)))),f317(f317(f8(f899(x45521),f905(f899(x45521),f904(f899(x45521),f899(x45521))),f899(x45521)),f242(f899(x45521),f899(x45521))),f317(f141(x45521),x45523))))),f317(f317(f7(f899(x45521),f905(f899(x45521),f899(x45521)),f905(f899(x45521),f904(f899(x45521),f899(x45521)))),f317(f317(f8(f905(f899(x45521),f904(f899(x45521),f899(x45521))),f905(f905(f899(x45521),f899(x45521)),f905(f899(x45521),f904(f899(x45521),f899(x45521)))),f899(x45521)),f8(f899(x45521),f904(f899(x45521),f899(x45521)),f899(x45521))),f242(f899(x45521),f899(x45521)))),f317(f141(x45521),x45523)))),f156(x45521,x45522,x45524)),f156(x45521,x45522,f317(f317(f141(x45521),x45523),x45524))) % 199.88/200.98 [3798]E(f317(f317(f165(x37981),x37982),f317(f317(f165(x37981),x37983),x37984)),f317(f317(f165(x37981),f317(f317(f229(a898),x37982),x37983)),x37984)) % 199.88/200.98 [3799]E(f317(f317(f128(x37991),x37992),f317(f317(f128(x37991),x37993),x37994)),f317(f317(f128(x37991),f317(f317(f74(a898),x37992),x37993)),x37994)) % 199.88/200.98 [3810]E(f317(f317(f124(x38101),f317(f317(f141(x38101),x38102),x38103)),x38104),f317(f317(f141(x38101),x38102),f317(f317(f124(x38101),x38103),x38104))) % 199.88/200.98 [3811]E(f317(f317(f124(x38111),f317(f317(f124(x38111),x38112),x38113)),x38114),f317(f317(f124(x38111),x38112),f317(f317(f124(x38111),x38113),x38114))) % 199.88/200.98 [3892]E(f317(f317(f154(x38921),f317(f317(f141(x38921),x38922),x38923)),x38924),f175(x38921,x38922,f317(f154(x38921),x38923),x38924)) % 199.88/200.98 [3901]E(f317(f317(f173(x39011,x39011),x39012),f317(f317(f173(x39011,x39011),x39013),x39014)),f317(f317(f173(x39011,x39011),f317(f317(f75(a898),x39013),x39012)),x39014)) % 199.88/200.98 [3928]E(f317(f317(f91(f905(x39281,a894)),x39282),f317(f317(f299(x39281),x39283),x39284)),f317(f317(f299(x39281),x39283),f317(f317(f91(f905(x39281,a894)),x39282),x39284))) % 199.88/200.98 [3943]E(f317(f317(f317(f173(x39431,x39431),x39432),x39433),f317(x39433,x39434)),f317(x39433,f317(f317(f317(f173(x39431,x39431),x39432),x39433),x39434))) % 199.88/200.98 [3952]E(f317(f317(f279(x39521,x39522,x39523),f178(f905(f904(x39521,x39522),a894))),x39524),f178(f905(f904(x39521,x39523),a894))) % 199.88/200.98 [3966]E(f317(f317(f91(f905(x39661,a894)),f317(f317(f299(x39661),x39662),x39663)),x39664),f317(f317(f299(x39661),x39662),f317(f317(f91(f905(x39661,a894)),x39663),x39664))) % 199.88/200.98 [3986]E(f317(f29(f904(x39861,x39862)),f317(f317(f244(x39861,x39862),x39863),f317(f16(f905(x39862,a894),x39861),x39864))),f317(f317(f75(a898),f317(f29(x39861),x39863)),f317(f29(x39862),x39864))) % 199.88/200.98 [3992]E(f317(f317(f92(f905(x39921,a894)),f317(f317(f299(x39921),x39922),x39923)),f317(f317(f299(x39921),x39922),x39924)),f317(f317(f299(x39921),x39922),f317(f317(f92(f905(x39921,a894)),x39923),x39924))) % 199.88/200.98 [4005]E(f317(f317(f91(f905(x40051,a894)),x40052),f317(f317(f91(f905(x40051,a894)),x40053),x40054)),f317(f317(f91(f905(x40051,a894)),x40053),f317(f317(f91(f905(x40051,a894)),x40052),x40054))) % 199.88/200.98 [4006]E(f317(f317(f92(f905(x40061,a894)),x40062),f317(f317(f92(f905(x40061,a894)),x40063),x40064)),f317(f317(f92(f905(x40061,a894)),x40063),f317(f317(f92(f905(x40061,a894)),x40062),x40064))) % 199.88/200.98 [4016]E(f58(x40161,x40162,f317(f317(f8(x40162,f905(x40162,x40162),x40161),x40163),x40164)),f317(f59(x40162,x40161,x40163),x40164)) % 199.88/200.98 [4025]E(f169(x40251,f317(f317(f144(f899(x40252),f899(x40251)),f317(f144(x40252,x40251),x40253)),x40254)),f317(f317(f144(f899(x40252),f899(x40251)),f317(f144(x40252,x40251),x40253)),f169(x40252,x40254))) % 199.88/200.98 [4045]E(f317(f132(f899(x40451),f899(x40451),f124(x40451),f103(x40451)),f317(f317(f144(x40452,f899(x40451)),x40453),x40454)),f153(x40452,x40451,x40453,x40454)) % 199.88/200.98 [4103]E(f317(f67(x41031,x41031,x41031,f317(f317(f173(x41031,x41031),x41032),x41033)),f317(f317(f173(x41031,x41031),x41034),x41033)),f317(f317(f173(x41031,x41031),f317(f317(f74(a898),x41032),x41034)),x41033)) % 199.88/200.98 [4126]E(f317(f317(f92(f905(x41261,a894)),f317(f317(f23(f905(x41261,a894)),x41262),x41263)),f317(f317(f23(f905(x41261,a894)),x41262),x41264)),f317(f317(f23(f905(x41261,a894)),x41262),f317(f317(f91(f905(x41261,a894)),x41263),x41264))) % 199.88/200.98 [4127]E(f317(f317(f91(f905(x41271,a894)),f317(f317(f23(f905(x41271,a894)),x41272),x41273)),f317(f317(f23(f905(x41271,a894)),x41272),x41274)),f317(f317(f23(f905(x41271,a894)),x41272),f317(f317(f92(f905(x41271,a894)),x41273),x41274))) % 199.88/200.98 [4128]E(f317(f317(f92(f905(x41281,a894)),f317(f317(f91(f905(x41281,a894)),x41282),x41283)),f317(f317(f91(f905(x41281,a894)),x41282),x41284)),f317(f317(f91(f905(x41281,a894)),x41282),f317(f317(f92(f905(x41281,a894)),x41283),x41284))) % 199.88/200.98 [4129]E(f317(f317(f23(f905(x41291,a894)),f317(f317(f92(f905(x41291,a894)),x41292),x41293)),f317(f317(f92(f905(x41291,a894)),x41292),x41294)),f317(f317(f92(f905(x41291,a894)),x41292),f317(f317(f23(f905(x41291,a894)),x41293),x41294))) % 199.88/200.98 [4130]E(f317(f317(f91(f905(x41301,a894)),f317(f317(f92(f905(x41301,a894)),x41302),x41303)),f317(f317(f92(f905(x41301,a894)),x41302),x41304)),f317(f317(f92(f905(x41301,a894)),x41302),f317(f317(f91(f905(x41301,a894)),x41303),x41304))) % 199.88/200.98 [4135]E(f317(f29(f904(x41351,x41352)),f317(f317(f244(x41351,x41352),f317(f317(f299(x41351),x41353),f178(f905(x41351,a894)))),f317(f16(f905(x41352,a894),x41351),x41354))),f317(f29(x41352),x41354)) % 199.88/200.98 [4170]E(f317(f317(f35(x41701,f905(x41702,a894)),x41703),f317(f317(f8(f905(x41702,a894),f905(x41702,a894),x41701),f73(f905(x41702,a894))),x41704)),f317(f73(f905(x41702,a894)),f317(f317(f34(x41701,f905(x41702,a894)),x41703),x41704))) % 199.88/200.98 [4171]E(f317(f317(f34(x41711,f905(x41712,a894)),x41713),f317(f317(f8(f905(x41712,a894),f905(x41712,a894),x41711),f73(f905(x41712,a894))),x41714)),f317(f73(f905(x41712,a894)),f317(f317(f35(x41711,f905(x41712,a894)),x41713),x41714))) % 199.88/200.98 [4187]E(f317(f317(f279(x41871,x41871,x41871),f317(f317(f173(f904(x41871,x41871),a894),x41872),x41873)),f317(f317(f173(f904(x41871,x41871),a894),x41874),x41873)),f317(f317(f173(f904(x41871,x41871),a894),f317(f317(f74(a898),x41872),x41874)),x41873)) % 199.88/200.98 [4217]E(f317(f317(f35(x42171,f905(f905(x42172,a894),a894)),x42173),f317(f317(f8(f905(x42172,a894),f905(f905(x42172,a894),a894),x42171),f298(x42172)),x42174)),f317(f298(x42172),f317(f317(f35(x42171,f905(x42172,a894)),x42173),x42174))) % 199.88/200.98 [4246]E(f317(f317(f34(f905(x42461,a894),f905(x42462,a894)),x42463),f317(f317(f7(f905(x42461,a894),f905(x42461,f905(x42462,a894)),f905(x42462,a894)),f34(x42461,f905(x42462,a894))),x42464)),f317(f317(f34(x42461,f905(x42462,a894)),f31(f905(x42461,a894),x42463)),x42464)) % 199.88/200.98 [4247]E(f317(f317(f35(f905(x42471,a894),f905(x42472,a894)),x42473),f317(f317(f7(f905(x42471,a894),f905(x42471,f905(x42472,a894)),f905(x42472,a894)),f35(x42471,f905(x42472,a894))),x42474)),f317(f317(f35(x42471,f905(x42472,a894)),f31(f905(x42471,a894),x42473)),x42474)) % 199.88/200.98 [4252]E(f317(f317(f144(x42521,x42522),x42523),f317(f132(f899(x42521),f899(x42521),f124(x42521),f103(x42521)),x42524)),f317(f132(f899(x42522),f899(x42522),f124(x42522),f103(x42522)),f317(f317(f144(f899(x42521),f899(x42522)),f317(f144(x42521,x42522),x42523)),x42524))) % 199.88/200.98 [4254]E(f175(f899(x42541),f103(x42541),f317(f317(f8(f899(x42541),f899(x42541),a898),f317(f141(x42541),x42542)),f317(f317(f7(a898,f899(x42541),f899(x42541)),f165(x42541)),x42543)),x42544),f317(f317(f165(x42541),x42544),f317(f317(f141(x42541),x42542),x42543))) % 199.88/200.98 [4292]P1(f317(f317(f225(f905(x42921,a894)),f317(f300(x42922,x42921,x42923),f317(f301(x42922,x42921,x42923),x42924))),x42924)) % 199.88/200.98 [4294]E(f317(f300(f904(x42941,x42942),f904(x42942,x42941),f317(f247(x42941,x42942,f904(x42942,x42941)),f317(f7(x42942,x42941,f904(x42942,x42941)),f242(x42942,x42941)))),f317(f317(f244(x42941,x42942),x42943),f317(f16(f905(x42942,a894),x42941),x42944))),f317(f317(f244(x42942,x42941),x42944),f317(f16(f905(x42941,a894),x42942),x42943))) % 199.88/200.98 [4303]E(f317(f317(f34(x43031,f905(x43032,a894)),x43033),f317(f317(f8(f905(x43031,a894),f905(x43032,a894),x43031),f275(x43031,x43032,x43034)),f317(f317(f7(x43031,f905(x43031,a894),f905(x43031,a894)),f299(x43031)),f178(f905(x43031,a894))))),f317(f275(x43031,x43032,x43034),x43033)) % 199.88/200.98 [4304]E(f317(f317(f34(x43041,f905(x43042,a894)),x43043),f317(f317(f8(f905(x43041,a894),f905(x43042,a894),x43041),f301(x43042,x43041,x43044)),f317(f317(f7(x43041,f905(x43041,a894),f905(x43041,a894)),f299(x43041)),f178(f905(x43041,a894))))),f317(f301(x43042,x43041,x43044),x43043)) % 199.88/200.98 [4391]E(f317(f317(f92(f905(x43911,a894)),f317(f317(f92(f905(x43911,a894)),f317(f317(f91(f905(x43911,a894)),x43912),x43913)),f317(f317(f91(f905(x43911,a894)),x43913),x43914))),f317(f317(f91(f905(x43911,a894)),x43914),x43912)),f317(f317(f91(f905(x43911,a894)),f317(f317(f91(f905(x43911,a894)),f317(f317(f92(f905(x43911,a894)),x43912),x43913)),f317(f317(f92(f905(x43911,a894)),x43913),x43914))),f317(f317(f92(f905(x43911,a894)),x43914),x43912))) % 199.88/200.98 [4454]E(f317(f132(f899(x44541),f899(x44541),f124(x44541),f103(x44541)),f317(f317(f144(x44542,f899(x44541)),f317(f317(f7(x44542,f899(x44541),f899(x44541)),f317(f317(f8(x44541,f905(f899(x44541),f899(x44541)),x44542),f141(x44541)),x44543)),f103(x44541))),x44544)),f317(f317(f144(x44542,x44541),x44543),x44544)) % 199.88/200.98 [4464]E(f317(f317(f80(a1,x44641),f317(f94(a1),f317(f317(f74(a1),x44642),a87))),f317(f317(f18(a1,x44641,x44641),f317(f317(f7(a1,x44641,f905(x44641,x44641)),f317(f317(f8(a894,f905(x44641,f905(x44641,x44641)),a1),f86(x44641)),a183)),x44643)),f317(f317(f8(a898,x44641,a1),x44644),a95))),f175(x44641,x44643,x44644,f317(f94(a898),x44642))) % 199.88/200.98 [4495]E(f317(f252(x44951),f317(f317(f8(f905(x44952,a894),a894,x44951),f81(x44952)),f317(f317(f8(f905(x44952,a894),f905(x44952,a894),x44951),f317(f18(x44952,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44952),a315),f317(f317(f7(x44952,f905(x44952,a894),a894),f319(x44952)),x44953)))),f317(f7(x44952,x44951,a894),x44954)))),f317(f275(x44952,x44951,f317(f252(f904(x44952,x44951)),f317(f247(x44952,x44951,a894),x44954))),x44953)) % 199.88/200.98 [4630]~P1(f317(f317(f178(f905(x46301,f905(x46302,a894))),x46303),x46304)) % 199.88/200.98 [3955]E(f317(f317(f154(x39551),f317(f317(f124(x39551),x39552),x39553)),f317(f317(f74(a898),f317(f179(f899(x39551)),x39552)),x39554)),f317(f317(f154(x39551),x39553),x39554)) % 199.88/200.98 [3960]E(f317(f317(f128(x39601),x39602),f317(f317(f165(x39601),f317(f317(f74(a898),x39603),x39602)),x39604)),f317(f317(f165(x39601),x39603),f317(f317(f128(x39601),x39602),x39604))) % 199.88/200.98 [4060]E(f317(f317(f91(f905(x40601,a894)),f317(f274(x40602,x40601),x40603)),f317(f274(x40602,x40601),x40604)),f317(f274(x40602,x40601),f317(f317(f91(f905(f904(x40602,x40601),a894)),x40603),x40604))) % 199.88/200.98 [4061]E(f317(f317(f91(f905(x40611,a894)),f317(f254(x40611,x40612),x40613)),f317(f254(x40611,x40612),x40614)),f317(f254(x40611,x40612),f317(f317(f91(f905(f904(x40611,x40612),a894)),x40613),x40614))) % 199.88/200.98 [4066]E(f317(f317(f23(f905(x40661,a894)),f317(f317(f92(f905(x40661,a894)),x40662),x40663)),x40664),f317(f317(f92(f905(x40661,a894)),x40662),f317(f317(f23(f905(x40661,a894)),x40663),x40664))) % 199.88/200.98 [4067]E(f317(f317(f91(f905(x40671,a894)),f317(f317(f91(f905(x40671,a894)),x40672),x40673)),x40674),f317(f317(f91(f905(x40671,a894)),x40672),f317(f317(f91(f905(x40671,a894)),x40673),x40674))) % 199.88/200.98 [4068]E(f317(f317(f92(f905(x40681,a894)),f317(f317(f92(f905(x40681,a894)),x40682),x40683)),x40684),f317(f317(f92(f905(x40681,a894)),x40682),f317(f317(f92(f905(x40681,a894)),x40683),x40684))) % 199.88/200.98 [4105]E(f317(f317(f91(f905(f904(x41051,x41052),a894)),f317(f276(x41052,x41051),x41053)),f317(f276(x41052,x41051),x41054)),f317(f276(x41052,x41051),f317(f317(f91(f905(f904(x41052,x41051),a894)),x41053),x41054))) % 199.88/200.98 [4106]E(f317(f317(f92(f905(f904(x41061,x41062),a894)),f317(f276(x41062,x41061),x41063)),f317(f276(x41062,x41061),x41064)),f317(f276(x41062,x41061),f317(f317(f92(f905(f904(x41062,x41061),a894)),x41063),x41064))) % 199.88/200.98 [4119]E(f317(f317(f91(f905(x41191,f905(x41192,a894))),f233(x41192,x41191,x41193)),f233(x41192,x41191,x41194)),f233(x41192,x41191,f317(f317(f91(f905(x41192,f905(x41191,a894))),x41193),x41194))) % 199.88/200.98 [4120]E(f317(f317(f92(f905(x41201,f905(x41202,a894))),f233(x41202,x41201,x41203)),f233(x41202,x41201,x41204)),f233(x41202,x41201,f317(f317(f92(f905(x41202,f905(x41201,a894))),x41203),x41204))) % 199.88/200.98 [4174]E(f317(f317(f91(f905(x41741,a894)),f317(f317(f23(f905(x41741,a894)),x41742),x41743)),f317(f317(f23(f905(x41741,a894)),x41744),x41743)),f317(f317(f23(f905(x41741,a894)),f317(f317(f91(f905(x41741,a894)),x41742),x41744)),x41743)) % 199.88/200.98 [4175]E(f317(f317(f92(f905(x41751,a894)),f317(f317(f91(f905(x41751,a894)),x41752),x41753)),f317(f317(f91(f905(x41751,a894)),x41754),x41753)),f317(f317(f91(f905(x41751,a894)),f317(f317(f92(f905(x41751,a894)),x41752),x41754)),x41753)) % 199.88/200.98 [4176]E(f317(f317(f23(f905(x41761,a894)),f317(f317(f92(f905(x41761,a894)),x41762),x41763)),f317(f317(f92(f905(x41761,a894)),x41764),x41763)),f317(f317(f92(f905(x41761,a894)),f317(f317(f23(f905(x41761,a894)),x41762),x41764)),x41763)) % 199.88/200.98 [4177]E(f317(f317(f91(f905(x41771,a894)),f317(f317(f92(f905(x41771,a894)),x41772),x41773)),f317(f317(f92(f905(x41771,a894)),x41774),x41773)),f317(f317(f92(f905(x41771,a894)),f317(f317(f91(f905(x41771,a894)),x41772),x41774)),x41773)) % 199.88/200.98 [4178]E(f317(f317(f23(f905(x41781,a894)),f317(f317(f92(f905(x41781,a894)),x41782),x41783)),f317(f317(f92(f905(x41781,a894)),x41784),x41783)),f317(f317(f23(f905(x41781,a894)),f317(f317(f92(f905(x41781,a894)),x41782),x41783)),x41784)) % 199.88/200.98 [4190]E(f317(f317(f23(f905(x41901,a894)),f317(f317(f23(f905(x41901,a894)),x41902),f317(f317(f299(x41901),x41903),f178(f905(x41901,a894))))),x41904),f317(f317(f23(f905(x41901,a894)),x41902),f317(f317(f299(x41901),x41903),x41904))) % 199.88/200.98 [4243]E(f317(f317(f91(f905(x42431,a894)),f317(f317(f299(x42431),x42432),f317(f317(f299(x42431),x42433),f178(f905(x42431,a894))))),f317(f271(x42431),x42434)),f317(f271(x42431),f317(f317(f299(f904(x42431,x42431)),f317(f317(f242(x42431,x42431),x42432),x42433)),x42434))) % 199.88/200.98 [4268]E(f317(f317(f34(a898,f905(x42681,a894)),f317(f291(a898),x42682)),f317(f317(f8(a898,f905(x42681,a894),a898),x42683),f317(f317(f7(a898,a898,a898),f74(a898)),x42684))),f317(f317(f34(a898,f905(x42681,a894)),f293(a898,x42684,f317(f317(f74(a898),x42682),x42684))),x42683)) % 199.88/200.98 [4269]E(f164(x42691,f317(f275(x42691,x42691,x42692),f317(f317(f299(x42691),x42693),f178(f905(x42691,a894)))),f317(f275(f899(x42691),f899(x42691),f148(x42691,x42692)),f317(f317(f299(f899(x42691)),x42694),f178(f905(f899(x42691),a894))))),f317(f275(f899(x42691),f899(x42691),f148(x42691,x42692)),f317(f317(f299(f899(x42691)),f317(f317(f141(x42691),x42693),x42694)),f178(f905(f899(x42691),a894))))) % 199.88/200.98 [4333]E(f317(f252(x43331),f317(f317(f7(x43331,f905(x43332,a894),a894),f317(f317(f8(x43332,f905(f905(x43332,a894),a894),x43331),f319(x43332)),x43333)),x43334)),f317(f301(x43331,x43332,x43333),x43334)) % 199.88/200.98 [4423]E(f317(f252(x44231),f317(f317(f7(x44231,f905(f904(x44232,x44231),a894),a894),f317(f317(f8(f904(x44232,x44231),f905(f905(f904(x44232,x44231),a894),a894),x44231),f319(f904(x44232,x44231))),f317(f242(x44232,x44231),x44233))),x44234)),f317(f275(x44232,x44231,x44234),f317(f317(f299(x44232),x44233),f178(f905(x44232,a894))))) % 199.88/200.98 [4437]E(f317(f317(f144(f904(x44371,a898),x44371),f241(x44371,a898)),f317(f126(f904(x44371,a898),f317(f317(f8(a898,a894,f904(x44371,a898)),x44372),f317(f317(f8(a898,a898,f904(x44371,a898)),a102),f246(x44371,a898)))),f317(f317(f171(x44371,a898),x44373),x44374))),f317(f317(f144(f904(x44371,a898),x44371),f241(x44371,a898)),f317(f126(f904(x44371,a898),f317(f317(f8(a898,a894,f904(x44371,a898)),x44372),f246(x44371,a898))),f317(f317(f171(x44371,a898),x44373),f317(f317(f144(a898,a898),a102),x44374))))) % 199.88/200.98 [4446]P1(f317(f317(f225(f905(f905(x44461,a894),a894)),f317(f317(f34(x44462,f905(f905(x44461,a894),a894)),x44463),f317(f317(f8(f905(x44461,a894),f905(f905(x44461,a894),a894),x44462),f298(x44461)),x44464))),f317(f298(x44461),f317(f317(f34(x44462,f905(x44461,a894)),x44463),x44464)))) % 199.88/200.98 [4487]E(f317(f317(f80(a1,x44871),f317(f94(a1),f317(f317(f74(a1),x44872),a87))),f317(f317(f18(a1,x44871,x44871),f317(f317(f7(a1,x44871,f905(x44871,x44871)),f317(f317(f8(a894,f905(x44871,f905(x44871,x44871)),a1),f86(x44871)),a183)),x44873)),f317(f317(f18(a1,x44871,x44871),f317(f317(f8(a898,f905(x44871,x44871),a1),x44874),a95)),f317(f317(f8(a898,x44871,a1),f174(x44871,x44873,x44874)),a95)))),f317(f174(x44871,x44873,x44874),f317(f94(a898),x44872))) % 199.88/200.98 [4511]E(f317(f252(f904(x45111,x45112)),f317(f247(x45111,x45112,a894),f317(f317(f7(x45111,f905(x45112,a894),f905(x45112,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x45112,a894),f905(x45112,a894)),x45111),f8(a894,a894,x45112)),f317(f317(f8(a894,f905(a894,a894),x45111),a315),f317(f317(f7(x45111,f905(x45111,a894),a894),f319(x45111)),x45113)))),f317(f317(f7(x45112,f905(x45112,a894),a894),f319(x45112)),x45114)))),f219(x45111,x45112,x45113,x45114)) % 199.88/200.98 [4547]E(f317(f317(f34(x45471,f905(f904(x45471,x45472),a894)),x45473),f317(f317(f18(x45471,f905(x45472,f905(f904(x45471,x45472),a894)),f905(f904(x45471,x45472),a894)),f317(f317(f8(f905(x45472,a894),f905(f905(x45472,f905(f904(x45471,x45472),a894)),f905(f904(x45471,x45472),a894)),x45471),f34(x45472,f905(f904(x45471,x45472),a894))),x45474)),f317(f317(f7(x45471,f905(f904(x45471,x45472),a894),f905(x45472,f905(f904(x45471,x45472),a894))),f317(f317(f8(f905(x45472,f905(f905(f904(x45471,x45472),a894),f905(f904(x45471,x45472),a894))),f905(f905(f904(x45471,x45472),a894),f905(x45472,f905(f904(x45471,x45472),a894))),x45471),f7(x45472,f905(f904(x45471,x45472),a894),f905(f904(x45471,x45472),a894))),f317(f317(f8(f905(x45472,f904(x45471,x45472)),f905(x45472,f905(f905(f904(x45471,x45472),a894),f905(f904(x45471,x45472),a894))),x45471),f317(f8(f904(x45471,x45472),f905(f905(f904(x45471,x45472),a894),f905(f904(x45471,x45472),a894)),x45472),f299(f904(x45471,x45472)))),f242(x45471,x45472)))),f178(f905(f904(x45471,x45472),a894))))),f317(f317(f244(x45471,x45472),x45473),x45474)) % 199.88/200.98 [4114]E(f317(f317(f124(x41141),f317(f317(f165(x41141),x41142),x41143)),f317(f317(f165(x41141),f317(f317(f23(a898),x41142),f317(f179(f899(x41141)),x41143))),x41144)),f317(f317(f165(x41141),x41142),f317(f317(f124(x41141),x41143),x41144))) % 199.88/200.98 [4115]E(f317(f317(f124(x41151),f317(f317(f128(x41151),x41152),x41153)),f317(f317(f128(x41151),f317(f317(f23(a898),x41152),f317(f179(f899(x41151)),x41153))),x41154)),f317(f317(f128(x41151),x41152),f317(f317(f124(x41151),x41153),x41154))) % 199.88/200.98 [4164]E(f317(f317(f74(a898),f317(f317(f75(a898),x41641),x41642)),f317(f317(f74(a898),f317(f317(f75(a898),x41643),x41642)),x41644)),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f74(a898),x41641),x41643)),x41642)),x41644)) % 199.88/200.98 [4309]E(f84(x43091,f317(f317(f7(x43091,x43092,a894),f317(f317(f8(x43092,f905(x43092,a894),x43091),a314),x43093)),x43094)),f317(f85(x43091,x43092,f232(f905(x43091,a894)),x43093),x43094)) % 199.88/200.98 [4357]P1(f317(f317(f225(f905(x43571,a894)),f317(f317(f23(f905(x43571,a894)),f317(f274(x43572,x43571),x43573)),f317(f274(x43572,x43571),x43574))),f317(f274(x43572,x43571),f317(f317(f23(f905(f904(x43572,x43571),a894)),x43573),x43574)))) % 199.88/200.98 [4358]P1(f317(f317(f225(f905(x43581,a894)),f317(f317(f23(f905(x43581,a894)),f317(f254(x43581,x43582),x43583)),f317(f254(x43581,x43582),x43584))),f317(f254(x43581,x43582),f317(f317(f23(f905(f904(x43581,x43582),a894)),x43583),x43584)))) % 199.88/200.98 [4466]E(f317(f317(f74(a1),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x44661),x44662)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x44663),x44664)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),f317(f317(f74(a898),x44661),x44663)),f317(f317(f74(a898),x44662),x44664))),f178(f905(f904(a898,a898),a894)))))) % 199.88/200.98 [4506]E(f317(f317(f75(a1),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x45061),x45062)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x45063),x45064)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),f317(f317(f74(a898),f317(f317(f75(a898),x45061),x45063)),f317(f317(f75(a898),x45062),x45064))),f317(f317(f74(a898),f317(f317(f75(a898),x45061),x45064)),f317(f317(f75(a898),x45062),x45063)))),f178(f905(f904(a898,a898),a894)))))) % 199.88/200.98 [4527]E(f317(f252(x45271),f317(f317(f8(f905(x45272,a894),a894,x45271),f82(x45272)),f317(f317(f8(f905(x45272,a894),f905(x45272,a894),x45271),f317(f18(x45272,a894,a894),f317(f317(f8(a894,f905(a894,a894),x45272),a320),f317(f317(f7(x45272,f905(x45272,a894),a894),f319(x45272)),x45273)))),f317(f317(f7(x45271,f905(x45272,f905(x45271,a894)),f905(x45272,a894)),f317(f317(f8(f905(f905(x45271,a894),a894),f905(f905(x45272,f905(x45271,a894)),f905(x45272,a894)),x45271),f8(f905(x45271,a894),a894,x45272)),f319(x45271))),x45274)))),f317(f317(f35(x45272,f905(x45271,a894)),x45273),x45274)) % 199.88/200.98 [4559]E(f317(f317(f279(x45591,x45591,x45591),f317(f317(f299(f904(x45591,x45591)),f317(f317(f242(x45591,x45591),x45592),x45593)),x45594)),f297(x45591,f317(f317(f299(f904(x45591,x45591)),f317(f317(f242(x45591,x45591),x45592),x45593)),x45594))),f317(f317(f91(f905(f904(x45591,x45591),a894)),f317(f317(f279(x45591,x45591,x45591),x45594),f297(x45591,x45594))),f317(f252(f904(x45591,x45591)),f317(f247(x45591,x45591,a894),f317(f317(f7(x45591,f905(x45591,a894),f905(x45591,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x45591,a894),f905(x45591,a894)),x45591),f8(a894,a894,x45591)),f317(f317(f8(a894,f905(a894,a894),x45591),a315),f317(f317(f7(x45591,f905(f904(x45591,x45591),a894),a894),f317(f317(f8(f904(x45591,x45591),f905(f905(f904(x45591,x45591),a894),a894),x45591),f319(f904(x45591,x45591))),f317(f317(f7(x45591,x45591,f904(x45591,x45591)),f242(x45591,x45591)),x45592))),f297(x45591,x45594))))),f317(f317(f7(x45591,f905(f904(x45591,x45591),a894),a894),f317(f317(f8(f904(x45591,x45591),f905(f905(f904(x45591,x45591),a894),a894),x45591),f319(f904(x45591,x45591))),f317(f242(x45591,x45591),x45593))),f297(x45591,x45594))))))) % 199.88/200.98 [4359]E(f317(f126(x43591,f317(f317(f18(x43591,a894,a894),f317(f317(f8(a894,f905(a894,a894),x43591),a315),x43592)),x43593)),x43594),f317(f126(x43591,x43593),f317(f126(x43591,x43592),x43594))) % 199.88/200.98 [4460]E(f317(f317(f124(x44601),f317(f317(f317(f86(f899(x44601)),f317(f317(f319(a898),f2(a898)),x44602)),f317(f317(f141(x44601),x44603),f103(x44601))),f103(x44601))),f166(x44601,x44604,f317(f252(a898),f317(f317(f7(a898,f905(a898,a894),a894),f317(f317(f8(a898,f905(f905(a898,a894),a894),a898),f319(a898)),a102)),x44602)))),f166(x44601,f317(f317(f141(x44601),x44603),x44604),x44602)) % 199.88/200.98 [4555]E(f317(f252(f904(x45551,x45552)),f317(f317(f8(f905(a898,a894),a894,f904(x45551,x45552)),f81(a898)),f317(f317(f7(f904(x45551,x45552),f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),f904(x45551,x45552)),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),f904(x45551,x45552)),f317(f8(a894,f905(a894,a894),a898),a315)),f317(f317(f7(f904(x45551,x45552),f905(a898,f904(x45551,x45552)),f905(a898,a894)),f317(f317(f8(f905(f904(x45551,x45552),a894),f905(f905(a898,f904(x45551,x45552)),f905(a898,a894)),f904(x45551,x45552)),f8(f904(x45551,x45552),a894,a898)),a314)),f317(f317(f18(a898,x45552,f904(x45551,x45552)),f317(f317(f8(x45551,f905(x45552,f904(x45551,x45552)),a898),f242(x45551,x45552)),f317(f154(x45551),x45553))),f317(f154(x45552),x45554)))))),f317(f317(f7(a898,a898,a894),f226(a898)),f317(f317(f229(a898),f317(f179(f899(x45551)),x45553)),f317(f179(f899(x45552)),x45554)))))),f317(f162(f904(x45551,x45552)),f317(f317(f171(x45551,x45552),x45553),x45554))) % 199.88/200.98 [4479]E(f317(f252(f904(x44791,x44792)),f317(f247(x44791,x44792,a894),f317(f317(f7(x44791,f905(x44792,a894),f905(x44792,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x44792,a894),f905(x44792,a894)),x44791),f8(a894,a894,x44792)),f317(f317(f8(a894,f905(a894,a894),x44791),a315),x44793))),x44794))),f317(f317(f244(x44791,x44792),f317(f252(x44791),x44793)),f317(f16(f905(x44792,a894),x44791),f317(f252(x44792),x44794)))) % 199.88/200.98 [4482]E(f317(f252(f904(x44821,x44822)),f317(f247(x44821,x44822,a894),f317(f317(f18(x44821,f905(x44822,a894),f905(x44822,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x44822,a894),f905(x44822,a894)),x44821),f8(a894,a894,x44822)),f317(f317(f8(a894,f905(a894,a894),x44821),a315),x44823))),x44824))),f317(f317(f244(x44821,x44822),f317(f252(x44821),x44823)),f317(f317(f8(f905(x44822,a894),f905(x44822,a894),x44821),f252(x44822)),x44824))) % 199.88/200.98 [4494]E(f317(f252(x44941),f317(f317(f8(f905(x44942,a894),a894,x44941),f82(x44942)),f317(f317(f8(f905(x44942,a894),f905(x44942,a894),x44941),f317(f18(x44942,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44942),a320),f317(f317(f7(x44942,f905(x44942,a894),a894),f319(x44942)),x44943)))),x44944))),f317(f317(f35(x44942,f905(x44941,a894)),x44943),f317(f317(f8(f905(x44941,a894),f905(x44941,a894),x44942),f252(x44941)),f317(f7(x44941,x44942,a894),x44944)))) % 199.88/200.98 [4539]E(f317(f317(f144(f904(x45391,a898),x45391),f241(x45391,a898)),f317(f126(f904(x45391,a898),f317(f317(f7(f904(x45391,a898),f905(a898,a894),a894),f317(f317(f8(a898,f905(f905(a898,a894),a894),f904(x45391,a898)),f319(a898)),f246(x45391,a898))),x45392)),f317(f317(f171(x45391,a898),x45393),f129(a898,f317(f292(a898,x45394),f317(f317(f74(a898),x45394),f317(f179(f899(x45391)),x45393))))))),f317(f317(f144(f904(x45391,a898),x45391),f241(x45391,a898)),f317(f126(f904(x45391,a898),f317(f317(f7(f904(x45391,a898),f905(a898,a894),a894),f317(f317(f8(a898,f905(f905(a898,a894),a894),f904(x45391,a898)),f319(a898)),f317(f317(f7(f904(x45391,a898),a898,a898),f317(f317(f8(a898,f905(a898,a898),f904(x45391,a898)),f74(a898)),f246(x45391,a898))),x45394))),x45392)),f317(f317(f171(x45391,a898),x45393),f129(a898,f317(f292(a898,f2(a898)),f317(f179(f899(x45391)),x45393))))))) % 199.88/200.98 [4540]E(f317(a102,f317(f317(f224(a898),f317(f179(f899(x45401)),x45402)),f317(f132(a898,f899(x45403),f317(f7(f899(x45403),a898,a898),f317(f317(f8(a898,f905(a898,a898),f899(x45403)),f224(a898)),f317(f317(f7(f899(x45403),a898,a898),f317(f317(f8(a898,f905(a898,a898),f899(x45403)),f23(a898)),f179(f899(x45403)))),f317(a102,f2(a898))))),f2(a898)),f317(f158(f899(x45403)),f317(f126(f899(x45403),f317(f317(f8(a894,a894,f899(x45403)),a312),f317(f317(f7(f899(x45403),f899(x45403),a894),a314),f103(x45403)))),x45404))))),f317(f317(f224(a898),f317(a102,f317(f179(f899(x45401)),x45402))),f317(f132(a898,f899(x45403),f317(f7(f899(x45403),a898,a898),f317(f317(f8(a898,f905(a898,a898),f899(x45403)),f224(a898)),f179(f899(x45403)))),f2(a898)),f317(f158(f899(x45403)),x45404)))) % 199.88/200.98 [4493]E(f317(f317(f124(x44931),f166(x44931,x44932,x44933)),f166(x44931,x44934,f317(f252(a898),f317(f317(f7(a898,f905(a898,a894),a894),f317(f317(f8(a898,f905(f905(a898,a894),a894),a898),f319(a898)),f317(f317(f7(a898,a898,a898),f74(a898)),f317(f179(f899(x44931)),x44932)))),x44933)))),f166(x44931,f317(f317(f124(x44931),x44932),x44934),x44933)) % 199.88/200.98 [4541]E(f31(f905(x45411,a894),f317(f252(f905(x45411,a894)),f317(f317(f8(f905(x45412,a894),a894,f905(x45411,a894)),f81(x45412)),f317(f317(f8(f905(x45412,a894),f905(x45412,a894),f905(x45411,a894)),f317(f18(x45412,a894,a894),f317(f317(f8(a894,f905(a894,a894),x45412),a315),f317(f317(f7(x45412,f905(x45412,a894),a894),f319(x45412)),x45413)))),f317(f317(f7(f905(x45411,a894),f905(x45412,f905(x45411,a894)),f905(x45412,a894)),f317(f317(f8(f905(f905(x45411,a894),a894),f905(f905(x45412,f905(x45411,a894)),f905(x45412,a894)),f905(x45411,a894)),f8(f905(x45411,a894),a894,x45412)),a314)),x45414))))),f317(f317(f34(x45412,f905(x45411,a894)),x45413),x45414)) % 199.88/200.98 [4542]E(f32(f905(x45421,a894),f317(f252(f905(x45421,a894)),f317(f317(f8(f905(x45422,a894),a894,f905(x45421,a894)),f81(x45422)),f317(f317(f8(f905(x45422,a894),f905(x45422,a894),f905(x45421,a894)),f317(f18(x45422,a894,a894),f317(f317(f8(a894,f905(a894,a894),x45422),a315),f317(f317(f7(x45422,f905(x45422,a894),a894),f319(x45422)),x45423)))),f317(f317(f7(f905(x45421,a894),f905(x45422,f905(x45421,a894)),f905(x45422,a894)),f317(f317(f8(f905(f905(x45421,a894),a894),f905(f905(x45422,f905(x45421,a894)),f905(x45422,a894)),f905(x45421,a894)),f8(f905(x45421,a894),a894,x45422)),a314)),x45424))))),f317(f317(f35(x45422,f905(x45421,a894)),x45423),x45424)) % 199.88/200.98 [4549]E(f317(f317(f141(f899(x45491)),f317(f317(f141(x45491),x45492),f317(f132(f899(x45491),f899(x45491),f124(x45491),f103(x45491)),f317(f317(f144(f899(x45491),f899(x45491)),f146(f899(x45491),x45491,f103(x45491),f317(f317(f8(f899(x45491),f905(f899(x45491),f899(x45491)),x45491),f16(f899(x45491),f899(x45491))),f317(f317(f7(x45491,f899(x45491),f899(x45491)),f141(x45491)),f103(x45491))))),x45493)))),f169(x45491,f317(f317(f141(f899(x45491)),x45494),f317(f132(f899(f899(x45491)),f899(f899(x45491)),f124(f899(x45491)),f103(f899(x45491))),f317(f317(f144(f899(x45491),f899(f899(x45491))),f146(f899(f899(x45491)),x45491,f103(f899(x45491)),f317(f16(f905(f899(x45491),f899(f899(x45491))),x45491),f317(f317(f7(f899(x45491),f899(f899(x45491)),f899(f899(x45491))),f141(f899(x45491))),f103(f899(x45491)))))),x45493))))),f169(x45491,f317(f317(f141(f899(x45491)),f317(f317(f141(x45491),x45492),x45494)),x45493))) % 199.88/200.98 [4556]E(f317(f252(f904(x45561,x45561)),f317(f247(x45561,x45561,a894),f317(f317(f7(x45561,f905(f904(x45562,x45562),a894),f905(x45561,a894)),f317(f317(f8(f905(x45561,f905(f905(f904(x45562,x45562),a894),a894)),f905(f905(f904(x45562,x45562),a894),f905(x45561,a894)),x45561),f7(x45561,f905(f904(x45562,x45562),a894),a894)),f317(f317(f8(f905(x45561,f904(x45562,x45562)),f905(x45561,f905(f905(f904(x45562,x45562),a894),a894)),x45561),f317(f8(f904(x45562,x45562),f905(f905(f904(x45562,x45562),a894),a894),x45561),f319(f904(x45562,x45562)))),f317(f317(f7(x45561,f905(x45561,x45562),f905(x45561,f904(x45562,x45562))),f317(f317(f8(f905(x45562,f904(x45562,x45562)),f905(f905(x45561,x45562),f905(x45561,f904(x45562,x45562))),x45561),f8(x45562,f904(x45562,x45562),x45561)),f317(f317(f8(x45562,f905(x45562,f904(x45562,x45562)),x45561),f242(x45562,x45562)),x45563))),x45563)))),x45564))),f317(f317(f278(x45562,x45561),x45564),x45563)) % 199.88/200.98 [3695]E(f317(f317(f144(x36951,x36952),x36953),f159(x36951,x36954,x36955)),f159(x36952,x36954,f317(x36953,x36955))) % 199.88/200.98 [4026]E(f120(x40261,x40262,x40263,f116(x40261,x40264,x40265)),f116(x40262,f317(x40263,x40264),f120(x40261,x40262,x40263,x40265))) % 199.88/200.98 [4258]E(f317(f69(x42581,x42582,x42583,x42584,x42585),x42584),x42585) % 199.88/200.98 [4310]E(f243(x43101,x43102,x43103,f233(x43102,x43101,x43104),f233(x43103,x43102,x43105)),f233(x43103,x43101,f243(x43103,x43102,x43101,x43105,x43104))) % 199.88/200.98 [3886]E(f317(f317(f247(x38861,x38862,x38863),x38864),x38865),f317(f317(x38864,f317(f241(x38861,x38862),x38865)),f317(f246(x38861,x38862),x38865))) % 199.88/200.98 [3920]E(f317(f317(f317(f59(x39201,x39202,x39203),x39204),x39205),f178(f905(x39202,a894))),x39205) % 199.88/200.98 [4198]E(f317(f67(f899(x41981),f899(x41982),f899(x41983),f317(f144(x41981,x41982),x41984)),f317(f144(x41983,x41981),x41985)),f317(f144(x41983,x41982),f317(f67(x41981,x41982,x41983,x41984),x41985))) % 199.88/200.98 [4272]E(f79(x42721,f60(x42722,x42721,x42723,x42724,x42725)),f317(f317(f58(x42722,x42721,x42723),x42724),x42725)) % 199.88/200.98 [4306]E(f317(f317(f74(a898),f317(f317(f74(a898),f317(x43061,f317(f241(x43062,x43063),x43064))),f317(x43065,f317(f246(x43062,x43063),x43064)))),f317(a102,f2(a898))),f251(x43062,x43063,x43061,x43065,x43064)) % 199.88/200.98 [3823]E(f317(f317(f165(x38231),x38232),f317(f317(f144(x38233,x38231),x38234),x38235)),f317(f317(f144(x38233,x38231),x38234),f317(f317(f165(x38233),x38232),x38235))) % 199.88/200.98 [3824]E(f317(f317(f128(x38241),x38242),f317(f317(f144(x38243,x38241),x38244),x38245)),f317(f317(f144(x38243,x38241),x38244),f317(f317(f128(x38243),x38242),x38245))) % 199.88/200.98 [3855]E(f317(f317(f144(x38551,x38552),x38553),f317(f317(f141(x38551),x38554),x38555)),f317(f317(f141(x38552),f317(x38553,x38554)),f317(f317(f144(x38551,x38552),x38553),x38555))) % 199.88/200.98 [3916]E(f317(f300(x39161,x39162,x39163),f317(f317(f299(x39161),x39164),x39165)),f317(f317(f299(x39162),f317(x39163,x39164)),f317(f300(x39161,x39162,x39163),x39165))) % 199.88/200.98 [3944]E(f163(x39441,f317(f317(f141(x39441),x39442),x39443),f317(f317(f141(x39441),x39444),x39445)),f317(f317(f141(x39441),x39442),f317(f317(f141(x39441),x39444),f163(x39441,x39443,x39445)))) % 199.88/200.98 [3981]E(f317(f317(f171(x39811,x39812),f317(f317(f165(x39811),x39813),x39814)),f317(f317(f165(x39812),x39813),x39815)),f317(f317(f165(f904(x39811,x39812)),x39813),f317(f317(f171(x39811,x39812),x39814),x39815))) % 199.88/200.98 [3982]E(f317(f317(f171(x39821,x39822),f317(f317(f128(x39821),x39823),x39824)),f317(f317(f128(x39822),x39823),x39825)),f317(f317(f128(f904(x39821,x39822)),x39823),f317(f317(f171(x39821,x39822),x39824),x39825))) % 199.88/200.98 [3991]E(f317(f317(f149(x39911,f317(f317(f141(x39911),x39912),x39913)),f317(a102,x39914)),x39915),f317(f317(f141(x39911),x39912),f317(f317(f149(x39911,x39913),x39914),x39915))) % 199.88/200.98 [3994]E(f317(f317(f124(x39941),f317(f317(f144(x39942,x39941),x39943),x39944)),f317(f317(f144(x39942,x39941),x39943),x39945)),f317(f317(f144(x39942,x39941),x39943),f317(f317(f124(x39942),x39944),x39945))) % 199.88/200.98 [3998]E(f317(f317(x39981,x39982),f317(f317(f235(x39983,x39984,x39981),x39982),x39985)),f317(f317(f235(x39983,x39984,x39981),x39982),f317(a102,x39985))) % 199.88/200.98 [4030]E(f153(x40301,x40302,x40303,f317(f317(f141(x40301),x40304),x40305)),f317(f317(f124(x40302),f317(x40303,x40304)),f153(x40301,x40302,x40303,x40305))) % 199.88/200.98 [4043]E(f317(f317(f279(x40431,x40432,x40433),f317(f276(x40432,x40431),x40434)),f317(f276(x40433,x40432),x40435)),f317(f276(x40433,x40431),f317(f317(f279(x40433,x40432,x40431),x40435),x40434))) % 199.88/200.98 [4076]E(f317(f317(f317(f173(f899(x40761),f899(x40761)),x40762),f157(x40761)),f317(f317(f144(x40763,x40761),x40764),x40765)),f317(f317(f144(x40763,x40761),x40764),f317(f317(f317(f173(f899(x40763),f899(x40763)),x40762),f157(x40763)),x40765))) % 199.88/200.98 [4077]E(f317(f317(f249(x40771,x40772,x40771,x40773),f317(f242(x40772,x40771),x40774)),x40775),f317(x40775,x40774)) % 199.88/200.98 [4100]E(f145(x41001,x41002,f317(f317(f144(x41003,x41001),x41004),x41005)),f145(x41003,f317(f67(x41001,a898,x41003,x41002),x41004),x41005)) % 199.88/200.98 [4163]E(f167(f904(x41631,x41632),f317(f67(x41632,a894,f904(x41631,x41632),x41633),f246(x41631,x41632)),f317(f317(f171(x41631,x41632),x41634),x41635)),f317(f317(f171(x41631,x41632),x41634),f167(x41632,x41633,x41635))) % 199.88/200.98 [4168]E(f317(f300(x41681,x41682,f317(f317(f8(x41683,x41682,x41681),x41684),x41685)),f232(f905(x41681,a894))),f317(f300(x41683,x41682,x41684),f317(f300(x41681,x41683,x41685),f232(f905(x41681,a894))))) % 199.88/200.98 [4181]E(f167(f904(x41811,x41812),f317(f67(x41811,a894,f904(x41811,x41812),x41813),f241(x41811,x41812)),f317(f317(f171(x41811,x41812),x41814),x41815)),f317(f317(f171(x41811,x41812),f167(x41811,x41813,x41814)),x41815)) % 199.88/200.98 [4202]E(f317(f317(f91(f905(x42021,a894)),f317(f301(x42021,x42022,x42023),f317(f317(f299(x42022),x42024),f178(f905(x42022,a894))))),f317(f301(x42021,x42022,x42023),x42025)),f317(f301(x42021,x42022,x42023),f317(f317(f299(x42022),x42024),x42025))) % 199.88/200.98 [4257]E(f317(f317(f124(f904(x42571,x42572)),f317(f317(f144(x42572,f904(x42571,x42572)),f317(f242(x42571,x42572),x42573)),x42574)),f54(x42571,x42572,x42575,x42574)),f54(x42571,x42572,f317(f317(f141(x42571),x42573),x42575),x42574)) % 199.88/200.98 [4259]E(f317(f317(f144(x42591,x42592),x42593),f167(x42591,f317(f67(x42592,a894,x42591,x42594),x42593),x42595)),f167(x42592,x42594,f317(f317(f144(x42591,x42592),x42593),x42595))) % 199.88/200.98 [4264]E(f317(f132(x42641,x42642,f317(f7(x42642,x42641,x42641),f317(f7(x42641,x42642,x42641),x42643)),x42644),f317(f158(x42642),f317(f158(x42642),x42645))),f317(f132(x42641,x42642,x42643,x42644),x42645)) % 199.88/200.98 [4367]P1(f317(f317(f225(f905(x43671,a894)),f317(f300(x43672,x43671,x43673),f317(f317(f92(f905(x43672,a894)),x43674),x43675))),f317(f317(f92(f905(x43671,a894)),f317(f300(x43672,x43671,x43673),x43674)),f317(f300(x43672,x43671,x43673),x43675)))) % 199.88/200.98 [4368]P1(f317(f317(f225(f905(x43681,a894)),f317(f275(x43682,x43681,x43683),f317(f317(f92(f905(x43682,a894)),x43684),x43685))),f317(f317(f92(f905(x43681,a894)),f317(f275(x43682,x43681,x43683),x43684)),f317(f275(x43682,x43681,x43683),x43685)))) % 199.88/200.98 [4467]E(f317(f246(x44671,x44672),f317(f248(x44673,x44671,x44672,x44672,x44674,f25(x44672)),x44675)),f317(f246(x44673,x44672),x44675)) % 199.88/200.98 [4468]E(f317(f241(x44681,x44682),f317(f248(x44681,x44681,x44683,x44682,f25(x44681),x44684),x44685)),f317(f241(x44681,x44683),x44685)) % 199.88/200.98 [3667]E(f317(f317(f317(f317(f194(x36671),x36672),x36673),x36674),x36675),f182(x36671,x36672)) % 199.88/200.98 [3668]E(f317(f317(f317(f317(f198(x36681),x36682),x36683),x36684),x36685),f189(x36681,x36682)) % 199.88/200.98 [4031]E(f317(f317(f34(x40311,f905(x40312,a894)),f317(f317(f299(x40311),x40313),x40314)),x40315),f317(f317(f91(f905(x40312,a894)),f317(x40315,x40313)),f317(f317(f34(x40311,f905(x40312,a894)),x40314),x40315))) % 199.88/200.98 [4032]E(f317(f317(f35(x40321,f905(x40322,a894)),f317(f317(f299(x40321),x40323),x40324)),x40325),f317(f317(f92(f905(x40322,a894)),f317(x40325,x40323)),f317(f317(f35(x40321,f905(x40322,a894)),x40324),x40325))) % 199.88/200.98 [4084]E(f317(f108(x40841,x40842,f317(x40843,x40844)),f317(f317(f7(x40841,a89,f900(x40842)),x40845),x40844)),f317(f187(x40841,x40842,x40843,x40845),x40844)) % 199.88/200.98 [4094]E(f317(f317(f91(f905(x40941,a894)),f317(f300(x40942,x40941,x40943),x40944)),f317(f300(x40942,x40941,x40943),x40945)),f317(f300(x40942,x40941,x40943),f317(f317(f91(f905(x40942,a894)),x40944),x40945))) % 199.88/200.98 [4095]E(f317(f317(f91(f905(x40951,a894)),f317(f275(x40952,x40951,x40953),x40954)),f317(f275(x40952,x40951,x40953),x40955)),f317(f275(x40952,x40951,x40953),f317(f317(f91(f905(x40952,a894)),x40954),x40955))) % 199.88/200.98 [4096]E(f317(f317(f23(f905(x40961,a894)),f317(f301(x40961,x40962,x40963),x40964)),f317(f301(x40961,x40962,x40963),x40965)),f317(f301(x40961,x40962,x40963),f317(f317(f23(f905(x40962,a894)),x40964),x40965))) % 199.88/200.98 [4097]E(f317(f317(f91(f905(x40971,a894)),f317(f301(x40971,x40972,x40973),x40974)),f317(f301(x40971,x40972,x40973),x40975)),f317(f301(x40971,x40972,x40973),f317(f317(f91(f905(x40972,a894)),x40974),x40975))) % 199.88/200.98 [4098]E(f317(f317(f92(f905(x40981,a894)),f317(f301(x40981,x40982,x40983),x40984)),f317(f301(x40981,x40982,x40983),x40985)),f317(f301(x40981,x40982,x40983),f317(f317(f92(f905(x40982,a894)),x40984),x40985))) % 199.88/200.98 [4159]E(f317(f317(f149(x41591,f317(f317(f124(x41591),x41592),f317(f317(f141(x41591),x41593),x41594))),f317(f179(f899(x41591)),x41592)),x41595),f317(f317(f124(x41591),x41592),f317(f317(f141(x41591),x41595),x41594))) % 199.88/200.98 [4166]E(f317(f317(f35(x41661,f905(x41662,a894)),x41663),f317(f317(f8(f905(x41662,a894),f905(x41662,a894),x41661),f317(f299(x41662),x41664)),x41665)),f317(f317(f299(x41662),x41664),f317(f317(f35(x41661,f905(x41662,a894)),x41663),x41665))) % 199.88/200.98 [4319]E(f317(f317(f144(x43191,x43192),x43193),f317(f126(x43191,f317(f67(x43192,a894,x43191,x43194),x43193)),x43195)),f317(f126(x43192,x43194),f317(f317(f144(x43191,x43192),x43193),x43195))) % 199.88/200.98 [4325]E(f317(f179(f899(x43251)),f317(f126(x43251,x43252),f317(f317(f144(x43253,x43251),x43254),x43255))),f317(f179(f899(x43253)),f317(f126(x43253,f317(f67(x43251,a894,x43253,x43252),x43254)),x43255))) % 199.88/200.98 [4532]E(f317(f146(f899(f904(x45321,x45322)),x45322,f103(f904(x45321,x45322)),f317(f317(f7(x45322,f905(f899(x45322),f899(f904(x45321,x45322))),f905(f899(x45322),f899(f904(x45321,x45322)))),f317(f317(f8(f905(f899(f904(x45321,x45322)),f899(f904(x45321,x45322))),f905(f905(f899(x45322),f899(f904(x45321,x45322))),f905(f899(x45322),f899(f904(x45321,x45322)))),x45322),f8(f899(f904(x45321,x45322)),f899(f904(x45321,x45322)),f899(x45322))),f317(f317(f8(f904(x45321,x45322),f905(f899(f904(x45321,x45322)),f899(f904(x45321,x45322))),x45322),f141(f904(x45321,x45322))),f317(f242(x45321,x45322),x45323)))),f317(f171(x45321,x45322),x45324))),x45325),f317(f317(f171(x45321,x45322),f317(f317(f141(x45321),x45323),x45324)),x45325)) % 199.88/200.98 [4023]E(f317(f317(f149(x40231,f317(f317(f149(x40231,x40232),x40233),x40234)),x40233),x40235),f317(f317(f149(x40231,x40232),x40233),x40235)) % 199.88/200.98 [4078]E(f317(f274(x40781,x40782),f317(f317(f299(f904(x40781,x40782)),f317(f317(f242(x40781,x40782),x40783),x40784)),x40785)),f317(f317(f299(x40782),x40784),f317(f274(x40781,x40782),x40785))) % 199.88/200.98 [4079]E(f317(f254(x40791,x40792),f317(f317(f299(f904(x40791,x40792)),f317(f317(f242(x40791,x40792),x40793),x40794)),x40795)),f317(f317(f299(x40791),x40793),f317(f254(x40791,x40792),x40795))) % 199.88/200.98 [4124]E(f112(x41241,x41242,f317(x41243,x41244),f317(f317(f7(x41241,a89,f900(f901(x41242))),x41245),x41244)),f317(f185(x41241,x41242,x41243,x41245),x41244)) % 199.88/200.98 [4152]E(f317(f317(f23(f905(f904(x41521,x41522),a894)),f317(f317(f244(x41521,x41522),x41523),x41524)),f317(f317(f244(x41521,x41522),x41525),x41524)),f317(f317(f244(x41521,x41522),f317(f317(f23(f905(x41521,a894)),x41523),x41525)),x41524)) % 199.88/200.98 [4153]E(f317(f317(f91(f905(f904(x41531,x41532),a894)),f317(f317(f244(x41531,x41532),x41533),x41534)),f317(f317(f244(x41531,x41532),x41535),x41534)),f317(f317(f244(x41531,x41532),f317(f317(f91(f905(x41531,a894)),x41533),x41535)),x41534)) % 199.88/200.98 [4154]E(f317(f317(f92(f905(f904(x41541,x41542),a894)),f317(f317(f244(x41541,x41542),x41543),x41544)),f317(f317(f244(x41541,x41542),x41545),x41544)),f317(f317(f244(x41541,x41542),f317(f317(f92(f905(x41541,a894)),x41543),x41545)),x41544)) % 199.88/200.98 [4213]E(f317(f317(f91(f905(x42131,a894)),f317(f317(f34(x42132,f905(x42131,a894)),x42133),x42134)),f317(f317(f34(x42132,f905(x42131,a894)),x42135),x42134)),f317(f317(f34(x42132,f905(x42131,a894)),f317(f317(f91(f905(x42132,a894)),x42133),x42135)),x42134)) % 199.88/200.98 [4214]E(f317(f317(f92(f905(x42141,a894)),f317(f317(f35(x42142,f905(x42141,a894)),x42143),x42144)),f317(f317(f35(x42142,f905(x42141,a894)),x42145),x42144)),f317(f317(f35(x42142,f905(x42141,a894)),f317(f317(f91(f905(x42142,a894)),x42143),x42145)),x42144)) % 199.88/200.98 [4228]E(f317(f317(f34(x42281,f905(x42282,a894)),x42283),f317(f317(f8(f905(x42282,a894),f905(x42282,a894),x42281),f317(f23(f905(x42282,a894)),x42284)),x42285)),f317(f317(f23(f905(x42282,a894)),x42284),f317(f317(f35(x42281,f905(x42282,a894)),x42283),x42285))) % 199.88/200.98 [4229]E(f317(f317(f34(x42291,f905(x42292,a894)),x42293),f317(f317(f8(f905(x42292,a894),f905(x42292,a894),x42291),f317(f92(f905(x42292,a894)),x42294)),x42295)),f317(f317(f92(f905(x42292,a894)),x42294),f317(f317(f34(x42291,f905(x42292,a894)),x42293),x42295))) % 199.88/200.98 [4230]E(f317(f317(f35(x42301,f905(x42302,a894)),x42303),f317(f317(f8(f905(x42302,a894),f905(x42302,a894),x42301),f317(f91(f905(x42302,a894)),x42304)),x42305)),f317(f317(f91(f905(x42302,a894)),x42304),f317(f317(f35(x42301,f905(x42302,a894)),x42303),x42305))) % 199.88/200.98 [4284]E(f175(f899(x42841),f317(f317(f141(x42841),x42842),x42843),f317(f317(f8(f899(x42841),f899(x42841),a898),f317(f141(x42841),x42844)),f317(f317(f7(a898,x42841,f899(x42841)),f149(x42841,x42843)),x42842)),x42845),f317(f317(f149(x42841,f317(f317(f141(x42841),x42844),x42843)),x42845),x42842)) % 199.88/200.98 [4288]E(f317(f317(f34(x42881,f905(f904(x42882,x42883),a894)),x42884),f317(f317(f8(f905(f904(x42883,x42882),a894),f905(f904(x42882,x42883),a894),x42881),f276(x42883,x42882)),x42885)),f317(f276(x42883,x42882),f317(f317(f34(x42881,f905(f904(x42883,x42882),a894)),x42884),x42885))) % 199.88/200.98 [4289]E(f317(f317(f35(x42891,f905(f904(x42892,x42893),a894)),x42894),f317(f317(f8(f905(f904(x42893,x42892),a894),f905(f904(x42892,x42893),a894),x42891),f276(x42893,x42892)),x42895)),f317(f276(x42893,x42892),f317(f317(f35(x42891,f905(f904(x42893,x42892),a894)),x42894),x42895))) % 199.88/200.98 [4390]P1(f317(f317(f225(f905(x43901,a894)),f317(f317(f23(f905(x43901,a894)),f317(f300(x43902,x43901,x43903),x43904)),f317(f300(x43902,x43901,x43903),x43905))),f317(f300(x43902,x43901,x43903),f317(f317(f23(f905(x43902,a894)),x43904),x43905)))) % 199.88/200.98 [4535]E(f317(f146(f899(f904(x45351,x45352)),x45351,f103(f904(x45351,x45352)),f317(f317(f7(x45351,f905(f899(x45351),f899(f904(x45351,x45352))),f905(f899(x45351),f899(f904(x45351,x45352)))),f317(f317(f8(f905(f899(f904(x45351,x45352)),f899(f904(x45351,x45352))),f905(f905(f899(x45351),f899(f904(x45351,x45352))),f905(f899(x45351),f899(f904(x45351,x45352)))),x45351),f8(f899(f904(x45351,x45352)),f899(f904(x45351,x45352)),f899(x45351))),f317(f317(f8(f904(x45351,x45352),f905(f899(f904(x45351,x45352)),f899(f904(x45351,x45352))),x45351),f141(f904(x45351,x45352))),f317(f317(f7(x45351,x45352,f904(x45351,x45352)),f242(x45351,x45352)),x45353)))),f317(f317(f7(f899(x45351),f899(x45352),f899(f904(x45351,x45352))),f171(x45351,x45352)),x45354))),x45355),f317(f317(f171(x45351,x45352),x45355),f317(f317(f141(x45352),x45353),x45354))) % 199.88/200.98 [4253]E(f317(f317(f91(f905(x42531,a894)),f317(f275(x42532,x42531,x42533),x42534)),f317(f275(x42532,x42531,x42535),x42534)),f317(f275(x42532,x42531,f317(f317(f91(f905(f904(x42532,x42531),a894)),x42533),x42535)),x42534)) % 199.88/200.98 [4290]E(f317(f317(f124(f904(x42901,x42902)),f317(f317(f171(x42901,x42902),x42903),f317(f317(f165(x42902),f317(f179(f899(x42901)),x42903)),x42904))),f317(f317(f171(x42901,x42902),x42905),f317(f317(f128(x42902),f317(f179(f899(x42901)),x42903)),x42904))),f317(f317(f171(x42901,x42902),f317(f317(f124(x42901),x42903),x42905)),x42904)) % 199.88/200.98 [4393]E(f317(f317(f244(x43931,x43932),x43933),f317(f317(f18(x43931,f905(x43932,a894),f905(x43932,a894)),f317(f317(f8(f905(x43932,a894),f905(f905(x43932,a894),f905(x43932,a894)),x43931),f23(f905(x43932,a894))),x43934)),x43935)),f317(f317(f23(f905(f904(x43931,x43932),a894)),f317(f317(f244(x43931,x43932),x43933),x43934)),f317(f317(f244(x43931,x43932),x43933),x43935))) % 199.88/200.98 [4394]E(f317(f317(f244(x43941,x43942),x43943),f317(f317(f18(x43941,f905(x43942,a894),f905(x43942,a894)),f317(f317(f8(f905(x43942,a894),f905(f905(x43942,a894),f905(x43942,a894)),x43941),f91(f905(x43942,a894))),x43944)),x43945)),f317(f317(f91(f905(f904(x43941,x43942),a894)),f317(f317(f244(x43941,x43942),x43943),x43944)),f317(f317(f244(x43941,x43942),x43943),x43945))) % 199.88/200.98 [4395]E(f317(f317(f244(x43951,x43952),x43953),f317(f317(f18(x43951,f905(x43952,a894),f905(x43952,a894)),f317(f317(f8(f905(x43952,a894),f905(f905(x43952,a894),f905(x43952,a894)),x43951),f92(f905(x43952,a894))),x43954)),x43955)),f317(f317(f92(f905(f904(x43951,x43952),a894)),f317(f317(f244(x43951,x43952),x43953),x43954)),f317(f317(f244(x43951,x43952),x43953),x43955))) % 199.88/200.98 [4399]E(f317(f317(f34(x43991,f905(x43992,a894)),x43993),f317(f317(f7(x43991,f905(x43992,a894),f905(x43992,a894)),f317(f317(f8(f905(x43992,a894),f905(f905(x43992,a894),f905(x43992,a894)),x43991),f23(f905(x43992,a894))),x43994)),x43995)),f317(f317(f23(f905(x43992,a894)),f317(f317(f34(x43991,f905(x43992,a894)),x43993),x43994)),x43995)) % 199.88/200.98 [4400]E(f317(f317(f34(x44001,f905(x44002,a894)),x44003),f317(f317(f7(x44001,f905(x44002,a894),f905(x44002,a894)),f317(f317(f8(f905(x44002,a894),f905(f905(x44002,a894),f905(x44002,a894)),x44001),f92(f905(x44002,a894))),x44004)),x44005)),f317(f317(f92(f905(x44002,a894)),f317(f317(f34(x44001,f905(x44002,a894)),x44003),x44004)),x44005)) % 199.88/200.98 [4401]E(f317(f317(f35(x44011,f905(x44012,a894)),x44013),f317(f317(f7(x44011,f905(x44012,a894),f905(x44012,a894)),f317(f317(f8(f905(x44012,a894),f905(f905(x44012,a894),f905(x44012,a894)),x44011),f91(f905(x44012,a894))),x44014)),x44015)),f317(f317(f91(f905(x44012,a894)),f317(f317(f35(x44011,f905(x44012,a894)),x44013),x44014)),x44015)) % 199.88/200.98 [4405]E(f317(f317(f34(x44051,f905(x44052,a894)),x44053),f317(f317(f18(x44051,f905(x44052,a894),f905(x44052,a894)),f317(f317(f8(f905(x44052,a894),f905(f905(x44052,a894),f905(x44052,a894)),x44051),f91(f905(x44052,a894))),x44054)),x44055)),f317(f317(f91(f905(x44052,a894)),f317(f317(f34(x44051,f905(x44052,a894)),x44053),x44054)),f317(f317(f34(x44051,f905(x44052,a894)),x44053),x44055))) % 199.88/200.98 [4406]E(f317(f317(f35(x44061,f905(x44062,a894)),x44063),f317(f317(f18(x44061,f905(x44062,a894),f905(x44062,a894)),f317(f317(f8(f905(x44062,a894),f905(f905(x44062,a894),f905(x44062,a894)),x44061),f92(f905(x44062,a894))),x44064)),x44065)),f317(f317(f92(f905(x44062,a894)),f317(f317(f35(x44061,f905(x44062,a894)),x44063),x44064)),f317(f317(f35(x44061,f905(x44062,a894)),x44063),x44065))) % 199.88/200.98 [4419]E(f317(f317(f34(x44191,f905(x44192,a894)),x44193),f317(f317(f18(x44191,f905(x44192,a894),f905(x44192,a894)),f317(f317(f8(f905(x44192,a894),f905(f905(x44192,a894),f905(x44192,a894)),x44191),f91(f905(x44192,a894))),x44194)),x44195)),f317(f317(f91(f905(x44192,a894)),f31(f905(x44192,a894),f317(f300(x44191,f905(x44192,a894),x44194),x44193))),f31(f905(x44192,a894),f317(f300(x44191,f905(x44192,a894),x44195),x44193)))) % 199.88/200.98 [4420]E(f317(f317(f35(x44201,f905(x44202,a894)),x44203),f317(f317(f18(x44201,f905(x44202,a894),f905(x44202,a894)),f317(f317(f8(f905(x44202,a894),f905(f905(x44202,a894),f905(x44202,a894)),x44201),f92(f905(x44202,a894))),x44204)),x44205)),f317(f317(f92(f905(x44202,a894)),f32(f905(x44202,a894),f317(f300(x44201,f905(x44202,a894),x44204),x44203))),f32(f905(x44202,a894),f317(f300(x44201,f905(x44202,a894),x44205),x44203)))) % 199.88/200.98 [4456]E(f317(f317(f128(x44561),f317(f179(f899(x44561)),f167(x44561,x44562,f317(f317(f144(x44563,x44561),x44564),x44565)))),f317(f317(f144(x44563,x44561),x44564),x44565)),f317(f317(f144(x44563,x44561),x44564),f317(f317(f128(x44563),f317(f179(f899(x44563)),f167(x44563,f317(f67(x44561,a894,x44563,x44562),x44564),x44565))),x44565))) % 199.88/200.98 [4332]E(f317(f317(f124(f904(x43321,x43322)),f317(f317(f171(x43321,x43322),f317(f317(f165(x43321),f317(f179(f899(x43322)),x43323)),x43324)),x43323)),f317(f317(f171(x43321,x43322),f317(f317(f128(x43321),f317(f179(f899(x43322)),x43323)),x43324)),x43325)),f317(f317(f171(x43321,x43322),x43324),f317(f317(f124(x43322),x43323),x43325))) % 199.88/200.98 [4447]E(f79(x44471,f317(f317(f18(x44471,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44471),a315),f317(f317(f7(x44471,f905(x44471,a894),a894),f319(x44471)),x44472))),f317(f317(f7(x44471,x44473,a894),f317(f317(f8(x44473,f905(x44473,a894),x44471),a314),x44474)),x44475))),f317(f71(x44471,x44473,x44472,x44474),x44475)) % 199.88/200.98 [4448]E(f84(x44481,f317(f317(f18(x44481,a894,a894),f317(f317(f8(a894,f905(a894,a894),x44481),a315),f317(f317(f7(x44481,f905(x44481,a894),a894),f319(x44481)),x44482))),f317(f317(f7(x44481,x44483,a894),f317(f317(f8(x44483,f905(x44483,a894),x44481),a314),x44484)),x44485))),f317(f85(x44481,x44483,x44482,x44484),x44485)) % 199.88/200.98 [4496]E(f317(f317(f80(a1,x44961),f317(f94(a1),f317(f317(f74(a1),x44962),a87))),f317(f317(f18(a1,x44961,x44961),f317(f317(f7(a1,x44961,f905(x44961,x44961)),f317(f317(f8(a894,f905(x44961,f905(x44961,x44961)),a1),f86(x44961)),a183)),f175(x44961,x44963,x44964,x44965))),f317(f317(f8(a898,x44961,a1),x44964),f317(f317(f7(a1,a898,a898),f317(f317(f8(a898,f905(a898,a898),a1),f74(a898)),a95)),x44965)))),f175(x44961,x44963,x44964,f317(f317(f74(a898),f317(f94(a898),x44962)),x44965))) % 199.88/200.98 [4531]E(f317(f317(f80(a1,x45311),f317(f94(a1),f317(f317(f74(a1),x45312),a87))),f317(f317(f18(a1,x45311,x45311),f317(f317(f7(a1,x45311,f905(x45311,x45311)),f317(f317(f8(a894,f905(x45311,f905(x45311,x45311)),a1),f86(x45311)),a183)),f317(f174(x45311,x45313,x45314),x45315))),f317(f317(f18(a1,x45311,x45311),f317(f317(f8(a898,f905(x45311,x45311),a1),x45314),f317(f317(f7(a1,a898,a898),f317(f317(f8(a898,f905(a898,a898),a1),f74(a898)),a95)),x45315))),f317(f317(f8(a898,x45311,a1),f174(x45311,x45313,x45314)),f317(f317(f7(a1,a898,a898),f317(f317(f8(a898,f905(a898,a898),a1),f74(a898)),a95)),x45315))))),f317(f174(x45311,x45313,x45314),f317(f317(f74(a898),f317(f94(a898),x45312)),x45315))) % 199.88/200.98 [4564]E(f317(f252(f904(x45641,x45642)),f317(f247(x45641,x45642,a894),f317(f317(f8(f905(x45642,f905(x45643,a894)),f905(x45642,a894),x45641),f317(f8(f905(x45643,a894),a894,x45642),f81(x45643))),f317(f317(f7(x45641,f905(x45642,f905(x45643,a894)),f905(x45642,f905(x45643,a894))),f317(f317(f8(f905(f905(x45643,a894),f905(x45643,a894)),f905(f905(x45642,f905(x45643,a894)),f905(x45642,f905(x45643,a894))),x45641),f8(f905(x45643,a894),f905(x45643,a894),x45642)),f317(f317(f8(f905(x45643,f905(a894,a894)),f905(f905(x45643,a894),f905(x45643,a894)),x45641),f18(x45643,a894,a894)),f317(f317(f8(f905(x45643,a894),f905(x45643,f905(a894,a894)),x45641),f317(f8(a894,f905(a894,a894),x45643),a315)),f317(f317(f7(x45641,f905(f904(x45641,x45643),a894),f905(x45643,a894)),f317(f317(f8(f905(x45643,f905(f905(f904(x45641,x45643),a894),a894)),f905(f905(f904(x45641,x45643),a894),f905(x45643,a894)),x45641),f7(x45643,f905(f904(x45641,x45643),a894),a894)),f317(f317(f8(f905(x45643,f904(x45641,x45643)),f905(x45643,f905(f905(f904(x45641,x45643),a894),a894)),x45641),f317(f8(f904(x45641,x45643),f905(f905(f904(x45641,x45643),a894),a894),x45643),f319(f904(x45641,x45643)))),f242(x45641,x45643)))),x45644))))),f317(f317(f7(x45642,f905(f904(x45643,x45642),a894),f905(x45643,a894)),f317(f317(f8(f905(x45643,f905(f905(f904(x45643,x45642),a894),a894)),f905(f905(f904(x45643,x45642),a894),f905(x45643,a894)),x45642),f7(x45643,f905(f904(x45643,x45642),a894),a894)),f317(f317(f8(f905(x45643,f904(x45643,x45642)),f905(x45643,f905(f905(f904(x45643,x45642),a894),a894)),x45642),f317(f8(f904(x45643,x45642),f905(f905(f904(x45643,x45642),a894),a894),x45643),f319(f904(x45643,x45642)))),f317(f7(x45643,x45642,f904(x45643,x45642)),f242(x45643,x45642))))),x45645))))),f317(f317(f279(x45641,x45643,x45642),x45644),x45645)) % 199.88/200.98 [4182]E(f214(x41821,x41822,x41823,x41824,f210(x41821,x41822,x41825,x41826)),f317(f317(x41824,x41825),x41826)) % 199.88/200.98 [4183]E(f215(x41831,x41832,x41833,x41834,f210(x41831,x41832,x41835,x41836)),f317(f317(x41834,x41835),x41836)) % 199.88/200.98 [4308]E(f117(x43081,x43082,x43083,x43084,f116(x43082,x43085,x43086)),f317(f317(f317(x43084,x43085),x43086),f117(x43081,x43082,x43083,x43084,x43086))) % 199.88/200.98 [4327]E(f69(x43271,x43272,f69(x43271,x43272,x43273,x43274,x43275),x43274,x43276),f69(x43271,x43272,x43273,x43274,x43276)) % 199.88/200.98 [4435]E(f317(f67(f904(x44351,x44352),x44352,f904(x44353,x44354),f246(x44351,x44352)),f248(x44353,x44351,x44354,x44352,x44355,x44356)),f317(f67(x44354,x44352,f904(x44353,x44354),x44356),f246(x44353,x44354))) % 199.88/200.98 [4436]E(f317(f67(f904(x44361,x44362),x44361,f904(x44363,x44364),f241(x44361,x44362)),f248(x44363,x44361,x44364,x44362,x44365,x44366)),f317(f67(x44363,x44361,f904(x44363,x44364),x44365),f241(x44363,x44364))) % 199.88/200.98 [4053]E(f317(f317(f67(x40531,x40532,x40533,x40534),x40535),x40536),f317(x40534,f317(x40535,x40536))) % 199.88/200.98 [4192]E(f213(x41921,f904(x41922,f900(x41922)),x41923,f317(f247(x41922,f900(x41922),x41921),x41924),f317(f125(x41922),f116(x41922,x41925,x41926))),f317(f317(x41924,x41925),x41926)) % 199.88/200.98 [4242]E(f216(x42421,x42422,x42423,x42424,f210(x42421,x42422,x42425,x42426)),f317(f317(f74(a898),f317(f317(f74(a898),f317(x42423,x42425)),f317(x42424,x42426))),f317(a102,f2(a898)))) % 199.88/200.98 [3853]E(f317(f317(f247(x38531,x38532,x38533),x38534),f317(f317(f242(x38531,x38532),x38535),x38536)),f317(f317(x38534,x38535),x38536)) % 199.88/200.98 [3913]E(f317(f317(f317(f8(x39131,x39132,x39133),x39134),x39135),x39136),f317(x39134,f317(x39135,x39136))) % 199.88/200.98 [3914]E(f317(f317(f317(f7(x39141,x39142,x39143),x39144),x39145),x39146),f317(f317(x39144,x39146),x39145)) % 199.88/200.98 [3930]E(f317(f317(f317(f18(x39301,x39302,x39303),x39304),x39305),x39306),f317(f317(x39304,x39306),f317(x39305,x39306))) % 199.88/200.98 [3953]E(f317(f146(x39531,x39532,x39533,x39534),f317(f317(f141(x39532),x39535),x39536)),f317(f317(x39534,x39535),x39536)) % 199.88/200.98 [3990]E(f159(f904(x39901,x39902),f317(f317(f229(a898),x39903),x39904),f317(f317(f242(x39901,x39902),x39905),x39906)),f317(f317(f171(x39901,x39902),f159(x39901,x39903,x39905)),f159(x39902,x39904,x39906))) % 199.88/200.98 [4057]E(f317(f317(f141(f904(x40571,x40572)),f317(f317(f242(x40571,x40572),x40573),x40574)),f317(f317(f171(x40571,x40572),x40575),x40576)),f317(f317(f171(x40571,x40572),f317(f317(f141(x40571),x40573),x40575)),f317(f317(f141(x40572),x40574),x40576))) % 199.88/200.98 [4059]E(f317(f317(f144(x40591,x40592),x40593),f317(f317(f149(x40591,x40594),x40595),x40596)),f317(f317(f149(x40592,f317(f317(f144(x40591,x40592),x40593),x40594)),x40595),f317(x40593,x40596))) % 199.88/200.98 [4083]E(f317(f317(f245(x40831,x40832,x40833,x40834),x40835),x40836),f317(x40834,f317(f317(f242(x40831,x40832),x40835),x40836))) % 199.88/200.98 [4099]E(f317(f132(x40991,x40992,x40993,x40994),f317(f317(f141(x40992),x40995),x40996)),f317(f132(x40991,x40992,x40993,f317(f317(x40993,x40994),x40995)),x40996)) % 199.88/200.98 [4125]E(f250(x41251,x41252,x41253,x41254,f317(f317(f242(x41251,x41252),x41255),x41256)),f317(f317(x41254,x41255),x41256)) % 199.88/200.98 [4206]E(f317(f317(f34(x42061,f905(x42062,a894)),x42063),f317(f67(x42064,f905(x42062,a894),x42061,x42065),x42066)),f317(f317(f34(x42064,f905(x42062,a894)),f317(f300(x42061,x42064,x42066),x42063)),x42065)) % 199.88/200.98 [4256]E(f317(f317(f144(x42561,x42562),x42563),f317(f317(f144(x42564,x42561),x42565),x42566)),f317(f317(f144(x42564,x42562),f317(f67(x42561,x42562,x42564,x42563),x42565)),x42566)) % 199.88/200.98 [4262]E(f317(f300(x42621,x42622,f317(f67(x42623,x42622,x42621,x42624),x42625)),x42626),f317(f300(x42623,x42622,x42624),f317(f300(x42621,x42623,x42625),x42626))) % 199.88/200.98 [4263]E(f317(f301(x42631,x42632,f317(f67(x42633,x42632,x42631,x42634),x42635)),x42636),f317(f301(x42631,x42633,x42635),f317(f301(x42633,x42632,x42634),x42636))) % 199.88/200.98 [4291]E(f317(f132(x42911,x42912,x42913,f317(f132(x42911,x42912,x42913,x42914),x42915)),x42916),f317(f132(x42911,x42912,x42913,x42914),f317(f317(f124(x42912),x42915),x42916))) % 199.88/200.98 [4425]E(f317(f248(x44251,x44251,x44252,x44253,f25(x44251),x44254),f317(f317(f242(x44251,x44252),x44255),x44256)),f317(f317(f242(x44251,x44253),x44255),f317(x44254,x44256))) % 199.88/200.98 [4426]E(f317(f248(x44261,x44262,x44263,x44263,x44264,f25(x44263)),f317(f317(f242(x44261,x44263),x44265),x44266)),f317(f317(f242(x44262,x44263),f317(x44264,x44265)),x44266)) % 199.88/200.98 [4514]E(f317(f317(f144(f904(x45141,x45142),f904(x45141,x45143)),f317(f247(x45141,x45142,f904(x45141,x45143)),f317(f317(f7(x45141,f905(x45142,x45143),f905(x45142,f904(x45141,x45143))),f317(f317(f8(f905(x45143,f904(x45141,x45143)),f905(f905(x45142,x45143),f905(x45142,f904(x45141,x45143))),x45141),f8(x45143,f904(x45141,x45143),x45142)),f242(x45141,x45143))),x45144))),f317(f317(f171(x45141,x45142),x45145),x45146)),f317(f317(f171(x45141,x45143),x45145),f317(f317(f144(x45142,x45143),x45144),x45146))) % 199.88/200.98 [4109]E(f317(f317(f67(x41091,x41092,x41093,f317(f16(x41092,x41091),x41094)),x41095),x41096),x41094) % 199.88/200.98 [4141]E(f317(f300(x41411,x41412,x41413),f317(f300(x41414,x41411,x41415),x41416)),f317(f300(x41414,x41412,f317(f317(f8(x41411,x41412,x41414),x41413),x41415)),x41416)) % 199.88/200.98 [4147]E(f317(f317(f34(x41471,f905(x41472,a894)),f317(f300(x41473,x41471,x41474),x41475)),x41476),f317(f317(f34(x41473,f905(x41472,a894)),x41475),f317(f317(f8(x41471,f905(x41472,a894),x41473),x41476),x41474))) % 199.88/200.98 [4148]E(f317(f317(f35(x41481,f905(x41482,a894)),f317(f300(x41483,x41481,x41484),x41485)),x41486),f317(f317(f35(x41483,f905(x41482,a894)),x41485),f317(f317(f8(x41481,f905(x41482,a894),x41483),x41486),x41484))) % 199.88/200.98 [4149]E(f317(f317(f34(x41491,f905(x41492,a894)),x41493),f317(f317(f8(x41494,f905(x41492,a894),x41491),x41495),x41496)),f317(f317(f34(x41494,f905(x41492,a894)),f317(f300(x41491,x41494,x41496),x41493)),x41495)) % 199.88/200.98 [4150]E(f317(f317(f35(x41501,f905(x41502,a894)),x41503),f317(f317(f8(x41504,f905(x41502,a894),x41501),x41505),x41506)),f317(f317(f35(x41504,f905(x41502,a894)),f317(f300(x41501,x41504,x41506),x41503)),x41505)) % 199.88/200.98 [4208]E(f317(f317(f34(x42081,f905(x42082,a894)),x42083),f317(f317(f8(f905(x42084,a894),f905(x42082,a894),x42081),f300(x42084,x42082,x42085)),x42086)),f317(f300(x42084,x42082,x42085),f317(f317(f34(x42081,f905(x42084,a894)),x42083),x42086))) % 199.88/200.98 [4209]E(f317(f317(f34(x42091,f905(x42092,a894)),x42093),f317(f317(f8(f905(x42094,a894),f905(x42092,a894),x42091),f275(x42094,x42092,x42095)),x42096)),f317(f275(x42094,x42092,x42095),f317(f317(f34(x42091,f905(x42094,a894)),x42093),x42096))) % 199.88/200.98 [4210]E(f317(f317(f34(x42101,f905(x42102,a894)),x42103),f317(f317(f8(f905(x42104,a894),f905(x42102,a894),x42101),f301(x42102,x42104,x42105)),x42106)),f317(f301(x42102,x42104,x42105),f317(f317(f34(x42101,f905(x42104,a894)),x42103),x42106))) % 199.88/200.98 [4211]E(f317(f317(f35(x42111,f905(x42112,a894)),x42113),f317(f317(f8(f905(x42114,a894),f905(x42112,a894),x42111),f301(x42112,x42114,x42115)),x42116)),f317(f301(x42112,x42114,x42115),f317(f317(f35(x42111,f905(x42114,a894)),x42113),x42116))) % 199.88/200.98 [4296]E(f317(f132(x42961,x42962,f317(f7(x42962,x42961,x42961),x42963),x42964),f317(f158(x42962),f317(f317(f141(x42962),x42965),x42966))),f317(f317(x42963,x42965),f317(f132(x42961,x42962,f317(f7(x42962,x42961,x42961),x42963),x42964),f317(f158(x42962),x42966)))) % 199.88/200.98 [4354]E(f317(f317(f18(f904(x43541,x43542),x43542,x43543),f317(f317(f8(x43544,f905(x43542,x43543),f904(x43541,x43542)),x43545),f317(f317(f8(x43541,x43544,f904(x43541,x43542)),x43546),f241(x43541,x43542)))),f246(x43541,x43542)),f317(f247(x43541,x43542,x43543),f317(f317(f8(x43544,f905(x43542,x43543),x43541),x43545),x43546))) % 199.88/200.98 [4361]E(f317(f132(x43611,x43612,f317(f7(x43612,x43611,x43611),x43613),f317(f132(x43611,x43612,f317(f7(x43612,x43611,x43611),x43613),x43614),f317(f158(x43612),x43615))),f317(f158(x43612),x43616)),f317(f132(x43611,x43612,f317(f7(x43612,x43611,x43611),x43613),x43614),f317(f158(x43612),f317(f317(f124(x43612),x43616),x43615)))) % 199.88/200.98 [4363]E(f317(f317(f144(f904(x43631,x43632),f904(x43633,x43632)),f317(f247(x43631,x43632,f904(x43633,x43632)),f317(f317(f8(x43633,f905(x43632,f904(x43633,x43632)),x43631),f242(x43633,x43632)),x43634))),f317(f317(f171(x43631,x43632),x43635),x43636)),f317(f317(f171(x43633,x43632),f317(f317(f144(x43631,x43633),x43634),x43635)),x43636)) % 199.88/200.98 [4408]P1(f317(f317(f225(f905(x44081,a894)),f317(f275(x44082,x44081,x44083),f317(f317(f35(x44084,f905(x44082,a894)),x44085),x44086))),f317(f317(f35(x44084,f905(x44081,a894)),x44085),f317(f317(f8(f905(x44082,a894),f905(x44081,a894),x44084),f275(x44082,x44081,x44083)),x44086)))) % 199.88/200.98 [4221]E(f317(f317(f171(x42211,x42212),f317(f317(f149(x42211,x42213),x42214),f317(f241(x42211,x42212),x42215))),f317(f317(f149(x42212,x42216),x42214),f317(f246(x42211,x42212),x42215))),f317(f317(f149(f904(x42211,x42212),f317(f317(f171(x42211,x42212),x42213),x42216)),x42214),x42215)) % 199.88/200.98 [4279]E(f317(f317(f91(f905(f904(x42791,x42792),a894)),f317(f317(f279(x42791,x42793,x42792),x42794),x42795)),f317(f317(f279(x42791,x42793,x42792),x42794),x42796)),f317(f317(f279(x42791,x42793,x42792),x42794),f317(f317(f91(f905(f904(x42793,x42792),a894)),x42795),x42796))) % 199.88/200.98 [4373]E(f317(f317(f299(f904(x43731,x43732)),f317(f317(f242(x43731,x43732),x43733),x43734)),f317(f317(f91(f905(f904(x43731,x43732),a894)),f317(f317(f244(x43731,x43732),x43735),f317(f16(f905(x43732,a894),x43731),f317(f317(f299(x43732),x43734),x43736)))),f317(f317(f244(x43731,x43732),f317(f317(f299(x43731),x43733),x43735)),f317(f16(f905(x43732,a894),x43731),x43736)))),f317(f317(f244(x43731,x43732),f317(f317(f299(x43731),x43733),x43735)),f317(f16(f905(x43732,a894),x43731),f317(f317(f299(x43732),x43734),x43736)))) % 199.88/200.98 [4452]E(f317(f317(f92(f905(x44521,a894)),f317(f301(x44521,x44522,f317(f67(f904(x44522,x44523),x44522,x44521,f241(x44522,x44523)),x44524)),x44525)),f317(f301(x44521,x44523,f317(f67(f904(x44522,x44523),x44523,x44521,f246(x44522,x44523)),x44524)),x44526)),f317(f301(x44521,f904(x44522,x44523),x44524),f317(f317(f244(x44522,x44523),x44525),f317(f16(f905(x44523,a894),x44522),x44526)))) % 199.88/200.98 [4302]E(f317(f317(f91(f905(f904(x43021,x43022),a894)),f317(f317(f279(x43021,x43023,x43022),x43024),x43025)),f317(f317(f279(x43021,x43023,x43022),x43026),x43025)),f317(f317(f279(x43021,x43023,x43022),f317(f317(f91(f905(f904(x43021,x43023),a894)),x43024),x43026)),x43025)) % 199.88/200.98 [4433]E(f317(f317(f34(x44331,f905(x44332,a894)),x44333),f317(f317(f7(x44331,f905(x44334,f905(x44332,a894)),f905(x44332,a894)),f317(f317(f8(f905(x44334,a894),f905(f905(x44334,f905(x44332,a894)),f905(x44332,a894)),x44331),f34(x44334,f905(x44332,a894))),x44335)),x44336)),f317(f317(f34(x44334,f905(x44332,a894)),f317(f317(f34(x44331,f905(x44334,a894)),x44333),x44335)),x44336)) % 199.88/200.98 [4434]E(f317(f317(f35(x44341,f905(x44342,a894)),x44343),f317(f317(f7(x44341,f905(x44344,f905(x44342,a894)),f905(x44342,a894)),f317(f317(f8(f905(x44344,a894),f905(f905(x44344,f905(x44342,a894)),f905(x44342,a894)),x44341),f35(x44344,f905(x44342,a894))),x44345)),x44346)),f317(f317(f35(x44344,f905(x44342,a894)),f317(f317(f34(x44341,f905(x44344,a894)),x44343),x44345)),x44346)) % 199.88/200.98 [4486]E(f317(f247(x44861,x44862,f904(x44863,x44864)),f317(f317(f7(x44861,f905(x44862,x44864),f905(x44862,f904(x44863,x44864))),f317(f317(f8(f905(x44864,f904(x44863,x44864)),f905(f905(x44862,x44864),f905(x44862,f904(x44863,x44864))),x44861),f8(x44864,f904(x44863,x44864),x44862)),f317(f317(f8(x44863,f905(x44864,f904(x44863,x44864)),x44861),f242(x44863,x44864)),x44865))),x44866)),f248(x44861,x44863,x44862,x44864,x44865,x44866)) % 199.88/200.98 [4509]E(f317(f300(x45091,x45092,f317(f317(f18(x45091,x45092,x45092),f317(f317(f18(x45091,x45092,f905(x45092,x45092)),f317(f317(f8(a894,f905(x45092,f905(x45092,x45092)),x45091),f86(x45092)),x45093)),x45094)),x45095)),x45096),f317(f317(f91(f905(x45092,a894)),f317(f300(x45091,x45092,x45094),f317(f317(f92(f905(x45091,a894)),x45096),f317(f252(x45091),x45093)))),f317(f300(x45091,x45092,x45095),f317(f317(f92(f905(x45091,a894)),x45096),f317(f252(x45091),f317(f317(f8(a894,a894,x45091),a312),x45093)))))) % 199.88/200.98 [4521]E(f317(f300(x45211,f904(x45212,x45213),f317(f317(f18(x45211,x45213,f904(x45212,x45213)),f317(f317(f8(x45212,f905(x45213,f904(x45212,x45213)),x45211),f242(x45212,x45213)),x45214)),x45215)),x45216),f317(f317(f244(x45212,x45213),f317(f300(x45211,x45212,x45214),x45216)),f317(f317(f8(f905(x45211,a894),f905(x45213,a894),x45212),f300(x45211,x45213,x45215)),f317(f317(f7(x45212,f905(x45211,a894),f905(x45211,a894)),f317(f317(f8(f905(x45211,a894),f905(f905(x45211,a894),f905(x45211,a894)),x45212),f92(f905(x45211,a894))),f317(f317(f8(f905(x45212,a894),f905(x45211,a894),x45212),f301(x45211,x45212,x45214)),f317(f317(f7(x45212,f905(x45212,a894),f905(x45212,a894)),f299(x45212)),f178(f905(x45212,a894)))))),x45216)))) % 199.88/200.98 [4546]E(f236(x45461,x45462,x45463,x45464,x45465,x45466),f317(x45464,f317(f252(x45461),f317(f317(f8(f905(f905(x45463,x45461),a894),a894,x45461),f81(f905(x45463,x45461))),f317(f317(f8(f905(f905(x45463,x45461),a894),f905(f905(x45463,x45461),a894),x45461),f317(f18(f905(x45463,x45461),a894,a894),f317(f317(f8(a894,f905(a894,a894),f905(x45463,x45461)),a315),f317(f317(f7(f905(x45463,x45461),f905(f905(x45463,x45461),a894),a894),f319(f905(x45463,x45461))),x45465)))),f317(f317(f7(x45461,f905(f905(x45463,x45461),x45461),f905(f905(x45463,x45461),a894)),f317(f317(f8(f905(x45461,a894),f905(f905(f905(x45463,x45461),x45461),f905(f905(x45463,x45461),a894)),x45461),f8(x45461,a894,f905(x45463,x45461))),a314)),f317(f317(f7(f905(x45463,x45461),x45463,x45461),f5(f905(x45463,x45461))),x45466))))))) % 199.88/200.98 [4335]E(f317(f67(x43351,x43352,x43353,x43354),f69(x43353,x43351,x43355,x43356,x43357)),f69(x43353,x43352,f317(f67(x43351,x43352,x43353,x43354),x43355),x43356,f317(x43354,x43357))) % 199.88/200.98 [4469]E(f317(f246(x44691,x44692),f317(f248(x44693,x44691,x44694,x44692,x44695,x44696),x44697)),f317(x44696,f317(f246(x44693,x44694),x44697))) % 199.88/200.98 [4470]E(f317(f241(x44701,x44702),f317(f248(x44703,x44701,x44704,x44702,x44705,x44706),x44707)),f317(x44705,f317(f241(x44703,x44704),x44707))) % 199.88/200.98 [4184]E(f317(f317(f171(x41841,x41842),f317(f317(f149(x41841,x41843),x41844),x41845)),f317(f317(f149(x41842,x41846),x41844),x41847)),f317(f317(f149(f904(x41841,x41842),f317(f317(f171(x41841,x41842),x41843),x41846)),x41844),f317(f317(f242(x41841,x41842),x41845),x41847))) % 199.88/200.98 [4251]E(f317(f317(f317(f249(x42511,x42512,x42513,x42514),x42515),x42516),x42517),f317(f317(f247(x42512,x42513,x42514),x42516),f317(x42515,x42517))) % 199.88/200.98 [4261]E(f317(f317(f317(f249(x42611,x42612,x42613,x42614),x42615),x42616),x42617),f317(f317(x42616,f317(f241(x42612,x42613),f317(x42615,x42617))),f317(f246(x42612,x42613),f317(x42615,x42617)))) % 199.88/200.98 [4313]E(f317(f67(x43131,x43132,x43133,x43134),f317(f67(x43135,x43131,x43133,x43136),x43137)),f317(f67(x43135,x43132,x43133,f317(f67(x43131,x43132,x43135,x43134),x43136)),x43137)) % 199.88/200.98 [4490]E(f317(f248(x44901,x44902,x44903,x44903,x44904,f25(x44903)),f317(f248(x44901,x44901,x44905,x44903,f25(x44901),x44906),x44907)),f317(f317(f242(x44902,x44903),f317(x44904,f317(f241(x44901,x44905),x44907))),f317(x44906,f317(f246(x44901,x44905),x44907)))) % 199.88/200.98 [4491]E(f317(f248(x44911,x44911,x44912,x44913,f25(x44911),x44914),f317(f248(x44915,x44911,x44912,x44912,x44916,f25(x44912)),x44917)),f317(f317(f242(x44911,x44913),f317(x44916,f317(f241(x44915,x44912),x44917))),f317(x44914,f317(f246(x44915,x44912),x44917)))) % 199.88/200.98 [4507]E(f317(f248(x45071,x45072,x45073,x45073,x45074,f25(x45073)),f317(f248(x45075,x45071,x45073,x45073,x45076,f25(x45073)),x45077)),f317(f248(x45075,x45072,x45073,x45073,f317(f67(x45071,x45072,x45075,x45074),x45076),f25(x45073)),x45077)) % 199.88/200.98 [4508]E(f317(f248(x45081,x45081,x45082,x45083,f25(x45081),x45084),f317(f248(x45081,x45081,x45085,x45082,f25(x45081),x45086),x45087)),f317(f248(x45081,x45081,x45085,x45083,f25(x45081),f317(f67(x45082,x45083,x45085,x45084),x45086)),x45087)) % 199.88/200.99 [4518]E(f317(f248(x45181,x45182,x45183,x45183,x45184,f25(x45183)),f317(f248(x45181,x45181,x45185,x45183,f25(x45181),x45186),x45187)),f317(f248(x45182,x45182,x45185,x45183,f25(x45182),x45186),f317(f248(x45181,x45182,x45185,x45185,x45184,f25(x45185)),x45187))) % 199.88/200.99 [4218]E(f317(f317(f279(x42181,x42182,x42183),f317(f317(f279(x42181,x42184,x42182),x42185),x42186)),x42187),f317(f317(f279(x42181,x42184,x42183),x42185),f317(f317(f279(x42184,x42182,x42183),x42186),x42187))) % 199.88/200.99 [4285]E(f317(f317(f247(x42851,x42852,x42853),f317(f67(x42854,f905(x42852,x42853),x42851,x42855),x42856)),x42857),f317(f317(x42855,f317(x42856,f317(f241(x42851,x42852),x42857))),f317(f246(x42851,x42852),x42857))) % 199.88/200.99 [4366]E(f317(f132(x43661,x43662,f317(f7(x43662,x43661,x43661),x43663),x43664),f317(f158(x43662),f317(f317(f144(x43665,x43662),x43666),x43667))),f317(f132(x43661,x43665,f317(f7(x43665,x43661,x43661),f317(f67(x43662,f905(x43661,x43661),x43665,x43663),x43666)),x43664),f317(f158(x43665),x43667))) % 199.88/200.99 [4314]E(f317(f317(f34(x43141,f905(f904(x43142,x43143),a894)),x43144),f317(f317(f8(f905(f904(x43145,x43143),a894),f905(f904(x43142,x43143),a894),x43141),f317(f279(x43142,x43145,x43143),x43146)),x43147)),f317(f317(f279(x43142,x43145,x43143),x43146),f317(f317(f34(x43141,f905(f904(x43145,x43143),a894)),x43144),x43147))) % 199.88/200.99 [4457]E(f317(f317(f34(x44571,f905(f904(x44572,x44573),a894)),x44574),f317(f317(f7(x44571,f905(f904(x44575,x44573),a894),f905(f904(x44572,x44573),a894)),f317(f317(f8(f905(f904(x44572,x44575),a894),f905(f905(f904(x44575,x44573),a894),f905(f904(x44572,x44573),a894)),x44571),f279(x44572,x44575,x44573)),x44576)),x44577)),f317(f317(f279(x44572,x44575,x44573),f317(f317(f34(x44571,f905(f904(x44572,x44575),a894)),x44574),x44576)),x44577)) % 199.88/200.99 [4458]E(f317(f132(x44581,x44582,f317(f317(f7(x44581,f905(x44582,x44583),f905(x44582,x44581)),f317(f317(f8(f905(x44583,x44581),f905(f905(x44582,x44583),f905(x44582,x44581)),x44581),f8(x44583,x44581,x44582)),x44584)),x44585),x44586),x44587),f317(f132(x44581,x44583,x44584,x44586),f317(f317(f144(x44582,x44583),x44585),x44587))) % 199.88/200.99 [4519]E(f317(f317(f35(x45191,f905(x45192,a894)),x45193),f317(f317(f8(f905(x45194,f905(x45192,a894)),f905(x45192,a894),x45191),f317(f35(x45194,f905(x45192,a894)),x45195)),f317(f317(f7(x45191,f905(x45194,f905(x45192,a894)),f905(x45194,f905(x45192,a894))),f317(f317(f8(f905(f905(x45192,a894),f905(x45192,a894)),f905(f905(x45194,f905(x45192,a894)),f905(x45194,f905(x45192,a894))),x45191),f8(f905(x45192,a894),f905(x45192,a894),x45194)),f317(f317(f8(f905(x45192,a894),f905(f905(x45192,a894),f905(x45192,a894)),x45191),f91(f905(x45192,a894))),x45196))),x45197))),f317(f317(f91(f905(x45192,a894)),f317(f317(f35(x45191,f905(x45192,a894)),x45193),x45196)),f317(f317(f35(x45194,f905(x45192,a894)),x45195),x45197))) % 199.88/200.99 [4520]E(f317(f317(f34(x45201,f905(x45202,a894)),x45203),f317(f317(f8(f905(x45204,f905(x45202,a894)),f905(x45202,a894),x45201),f317(f34(x45204,f905(x45202,a894)),x45205)),f317(f317(f7(x45201,f905(x45204,f905(x45202,a894)),f905(x45204,f905(x45202,a894))),f317(f317(f8(f905(f905(x45202,a894),f905(x45202,a894)),f905(f905(x45204,f905(x45202,a894)),f905(x45204,f905(x45202,a894))),x45201),f8(f905(x45202,a894),f905(x45202,a894),x45204)),f317(f317(f8(f905(x45202,a894),f905(f905(x45202,a894),f905(x45202,a894)),x45201),f92(f905(x45202,a894))),x45206))),x45207))),f317(f317(f92(f905(x45202,a894)),f317(f317(f34(x45201,f905(x45202,a894)),x45203),x45206)),f317(f317(f34(x45204,f905(x45202,a894)),x45205),x45207))) % 199.88/200.99 [4512]E(f187(x45121,x45122,f317(f317(f317(x45123,x45124),x45125),x45126),f317(f317(f7(x45121,f904(a89,a89),f905(a89,f900(x45122))),f317(f317(f7(x45121,a89,f905(f904(a89,a89),f905(a89,f900(x45122)))),f317(f317(f7(x45121,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(x45122))))),x45127),x45124)),x45125)),x45126)),f317(f317(f317(f199(x45121,x45122,x45123,x45127),x45124),x45125),x45126)) % 199.88/200.99 [4526]E(f188(x45261,x45262,f317(f317(f317(x45263,x45264),x45265),x45266),f317(f317(f7(x45261,f904(a89,a89),f905(a89,f900(x45262))),f317(f317(f7(x45261,a89,f905(f904(a89,a89),f905(a89,f900(x45262)))),f317(f317(f7(x45261,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(x45262))))),x45267),x45264)),x45265)),x45266)),f201(x45261,x45262,x45263,x45267,x45264,x45265,x45266)) % 199.88/200.99 [4517]E(f185(x45171,x45172,f317(f317(f317(x45173,x45174),x45175),x45176),f317(f317(f7(x45171,f904(a89,a89),f905(a89,f900(f901(x45172)))),f317(f317(f7(x45171,a89,f905(f904(a89,a89),f905(a89,f900(f901(x45172))))),f317(f317(f7(x45171,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(f901(x45172)))))),x45177),x45174)),x45175)),x45176)),f317(f317(f317(f195(x45171,x45172,x45173,x45177),x45174),x45175),x45176)) % 199.88/200.99 [4528]E(f186(x45281,x45282,f317(f317(f317(x45283,x45284),x45285),x45286),f317(f317(f7(x45281,f904(a89,a89),f905(a89,f900(f901(x45282)))),f317(f317(f7(x45281,a89,f905(f904(a89,a89),f905(a89,f900(f901(x45282))))),f317(f317(f7(x45281,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(f901(x45282)))))),x45287),x45284)),x45285)),x45286)),f197(x45281,x45282,x45283,x45287,x45284,x45285,x45286)) % 199.88/200.99 [4427]E(f317(f248(x44271,x44272,x44273,x44274,x44275,x44276),f317(f317(f242(x44271,x44273),x44277),x44278)),f317(f317(f242(x44272,x44274),f317(x44275,x44277)),f317(x44276,x44278))) % 199.88/200.99 [4530]E(f317(f317(f144(f904(x45301,x45302),f904(x45303,x45304)),f317(f247(x45301,x45302,f904(x45303,x45304)),f317(f317(f7(x45301,f905(x45302,x45304),f905(x45302,f904(x45303,x45304))),f317(f317(f8(f905(x45304,f904(x45303,x45304)),f905(f905(x45302,x45304),f905(x45302,f904(x45303,x45304))),x45301),f8(x45304,f904(x45303,x45304),x45302)),f317(f317(f8(x45303,f905(x45304,f904(x45303,x45304)),x45301),f242(x45303,x45304)),x45305))),x45306))),f317(f317(f171(x45301,x45302),x45307),x45308)),f317(f317(f171(x45303,x45304),f317(f317(f144(x45301,x45303),x45305),x45307)),f317(f317(f144(x45302,x45304),x45306),x45308))) % 199.88/200.99 [4533]E(f317(f317(f144(f904(x45331,x45332),x45333),f317(f247(x45331,x45332,x45333),f317(f317(f8(f905(x45332,f904(x45331,x45334)),f905(x45332,x45333),x45331),f317(f8(f904(x45331,x45334),x45333,x45332),x45335)),f317(f317(f7(x45331,f905(x45332,x45334),f905(x45332,f904(x45331,x45334))),f317(f317(f8(f905(x45334,f904(x45331,x45334)),f905(f905(x45332,x45334),f905(x45332,f904(x45331,x45334))),x45331),f8(x45334,f904(x45331,x45334),x45332)),f242(x45331,x45334))),x45336)))),f317(f317(f171(x45331,x45332),x45337),x45338)),f317(f317(f144(f904(x45331,x45334),x45333),x45335),f317(f317(f171(x45331,x45334),x45337),f317(f317(f144(x45332,x45334),x45336),x45338)))) % 199.88/200.99 [4461]E(f317(f317(f144(f904(x44611,x44612),x44613),f317(f247(x44611,x44612,x44613),f317(f317(f8(f905(x44612,f904(x44614,x44612)),f905(x44612,x44613),x44611),f317(f8(f904(x44614,x44612),x44613,x44612),x44615)),f317(f317(f8(x44614,f905(x44612,f904(x44614,x44612)),x44611),f242(x44614,x44612)),x44616)))),f317(f317(f171(x44611,x44612),x44617),x44618)),f317(f317(f144(f904(x44614,x44612),x44613),x44615),f317(f317(f171(x44614,x44612),f317(f317(f144(x44611,x44614),x44616),x44617)),x44618))) % 199.88/200.99 [4418]E(f317(f317(f247(x44181,x44182,x44183),f317(f317(f8(f905(x44182,f904(x44184,x44185)),f905(x44182,x44183),x44181),f317(f8(f904(x44184,x44185),x44183,x44182),f317(f247(x44184,x44185,x44183),x44186))),x44187)),x44188),f317(f317(f247(x44184,x44185,x44183),x44186),f317(f317(f247(x44181,x44182,f904(x44184,x44185)),x44187),x44188))) % 199.88/200.99 [4534]E(f317(f317(f34(f904(x45341,x45342),f905(f904(x45343,x45344),a894)),f317(f317(f244(x45341,x45342),x45345),f317(f16(f905(x45342,a894),x45341),x45346))),f317(f247(x45341,x45342,f905(f904(x45343,x45344),a894)),f317(f317(f7(x45341,f905(x45342,f905(x45343,f905(x45344,a894))),f905(x45342,f905(f904(x45343,x45344),a894))),f317(f317(f8(f905(f905(x45343,f905(x45344,a894)),f905(f904(x45343,x45344),a894)),f905(f905(x45342,f905(x45343,f905(x45344,a894))),f905(x45342,f905(f904(x45343,x45344),a894))),x45341),f8(f905(x45343,f905(x45344,a894)),f905(f904(x45343,x45344),a894),x45342)),f317(f317(f8(f905(x45343,a894),f905(f905(x45343,f905(x45344,a894)),f905(f904(x45343,x45344),a894)),x45341),f244(x45343,x45344)),x45347))),f317(f317(f8(f905(x45344,a894),f905(x45343,f905(x45344,a894)),x45342),f16(f905(x45344,a894),x45343)),x45348)))),f317(f317(f244(x45343,x45344),f317(f317(f34(x45341,f905(x45343,a894)),x45345),x45347)),f317(f16(f905(x45344,a894),x45343),f317(f317(f34(x45342,f905(x45344,a894)),x45346),x45348)))) % 199.88/200.99 [4475]E(f317(f317(f249(x44751,x44752,x44753,x44754),f317(f317(f249(x44751,x44755,x44756,f904(x44752,x44753)),x44757),x44758)),x44759),f317(f317(f249(x44751,x44755,x44756,x44754),x44757),f317(f317(f7(x44755,f905(x44752,f905(x44753,x44754)),f905(x44756,x44754)),f317(f317(f8(f905(x44756,f904(x44752,x44753)),f905(f905(x44752,f905(x44753,x44754)),f905(x44756,x44754)),x44755),f249(x44756,x44752,x44753,x44754)),x44758)),x44759))) % 199.88/200.99 [4504]E(f317(f67(f904(x45041,x45042),f904(x45043,x45044),f904(x45045,x45046),f248(x45041,x45043,x45042,x45044,x45047,x45048)),f248(x45045,x45041,x45046,x45042,x45049,x450410)),f248(x45045,x45043,x45046,x45044,f317(f67(x45041,x45043,x45045,x45047),x45049),f317(f67(x45042,x45044,x45046,x45048),x450410))) % 199.88/200.99 [4510]E(f317(f248(x45101,x45102,x45103,x45104,x45105,x45106),f317(f248(x45107,x45101,x45108,x45103,x45109,x451010),x451011)),f317(f248(x45107,x45102,x45108,x45104,f317(f67(x45101,x45102,x45107,x45105),x45109),f317(f67(x45103,x45104,x45108,x45106),x451010)),x451011)) % 199.88/200.99 [4637]~P2(x46371)+P2(f901(x46371)) % 199.88/200.99 [4638]~P60(x46381)+P60(f901(x46381)) % 199.88/200.99 [4639]~P105(x46391)+P105(f899(x46391)) % 199.88/200.99 [4642]~P127(x46421)+~E(f72(x46421),f2(x46421)) % 199.88/200.99 [4644]~E(x46441,f2(a89))+E(f317(a22,x46441),f2(a1)) % 199.88/200.99 [4645]~E(x46451,f2(a1))+E(f76(a1,x46451),f2(a1)) % 199.88/200.99 [4651]~P144(x46511)+P27(x46511,f2(x46511)) % 199.88/200.99 [4653]~P108(x46531)+P13(x46531,f103(x46531)) % 199.88/200.99 [4662]P1(x46621)+P1(f317(a312,x46621)) % 199.88/200.99 [4716]~P144(x47161)+~P27(x47161,f72(x47161)) % 199.88/200.99 [4753]~P1(x47531)+~P1(f317(a312,x47531)) % 199.88/200.99 [4774]E(f317(a95,x47741),f2(a898))+~P1(f317(a183,x47741)) % 199.88/200.99 [4840]~P97(x48401)+P14(x48401,x48401,f75(x48401)) % 199.88/200.99 [4841]~P108(x48411)+P14(x48411,x48411,f229(x48411)) % 199.88/200.99 [4842]~P108(x48421)+P14(x48421,x48421,f224(x48421)) % 199.88/200.99 [4843]~P103(x48431)+P14(x48431,x48431,f91(x48431)) % 199.88/200.99 [4844]~P104(x48441)+P14(x48441,x48441,f92(x48441)) % 199.88/200.99 [4845]~P74(x48451)+P16(x48451,x48451,f75(x48451)) % 199.88/200.99 [4648]~E(x46481,f2(a898))+E(f317(f90(a1),x46481),f2(a1)) % 199.88/200.99 [4655]~P93(x46551)+E(f317(f94(x46551),a77),f2(x46551)) % 199.88/200.99 [4658]~E(f545(x46581),f2(a898))+E(f317(f155(a898),x46581),f2(a898)) % 199.88/200.99 [4659]~P107(x46591)+E(f227(x46591,f225(x46591)),f229(x46591)) % 199.88/200.99 [4660]~P107(x46601)+E(f228(x46601,f225(x46601)),f224(x46601)) % 199.88/200.99 [4661]~P89(x46611)+E(f76(x46611,f2(x46611)),f2(x46611)) % 199.88/200.99 [4670]~P144(x46701)+E(f317(f90(x46701),f72(a898)),f72(x46701)) % 199.88/200.99 [4671]~P144(x46711)+E(f317(f90(x46711),f2(a898)),f2(x46711)) % 199.88/200.99 [4672]~P128(x46721)+E(f317(f93(x46721),f72(a1)),f72(x46721)) % 199.88/200.99 [4673]~P128(x46731)+E(f317(f93(x46731),f2(a1)),f2(x46731)) % 199.88/200.99 [4674]E(x46741,f2(a898))+~E(f317(f90(a1),x46741),f2(a1)) % 199.88/200.99 [4710]~P111(x47101)+E(f317(f70(x47101),f72(x47101)),f72(x47101)) % 199.88/200.99 [4711]~P85(x47111)+E(f317(f70(x47111),f2(x47111)),f2(x47111)) % 199.88/200.99 [4712]~P96(x47121)+E(f317(f73(x47121),f178(x47121)),f232(x47121)) % 199.88/200.99 [4713]~P76(x47131)+E(f317(f73(x47131),f2(x47131)),f2(x47131)) % 199.88/200.99 [4714]~P96(x47141)+E(f317(f73(x47141),f232(x47141)),f178(x47141)) % 199.88/200.99 [4715]~P81(x47151)+E(f317(f155(x47151),f103(x47151)),f2(x47151)) % 199.88/200.99 [4733]~P35(x47331)+P39(f317(f162(a1),x47331)) % 199.88/200.99 [4758]~P93(x47581)+E(f317(f73(x47581),f72(x47581)),f317(f94(x47581),a87)) % 199.88/200.99 [4773]~P93(x47731)+P27(x47731,f317(f94(x47731),a77)) % 199.88/200.99 [4799]P35(x47991)+~P39(f317(f162(a1),x47991)) % 199.88/200.99 [4846]E(f317(f90(a1),f317(a95,x48461)),x48461)+P1(f317(a183,x48461)) % 199.88/200.99 [4916]~P115(x49161)+E(f235(x49161,f72(x49161),f75(x49161)),f234(x49161)) % 199.88/200.99 [4949]~P93(x49491)+~P27(x49491,f317(f94(x49491),a87)) % 199.88/200.99 [5102]E(f317(f70(a1),x51021),x51021)+P1(f317(f317(f226(a1),x51021),f2(a1))) % 199.88/200.99 [5120]~E(f317(a95,x51201),f2(a898))+P1(f317(f317(f225(a1),x51201),f2(a1))) % 199.88/200.99 [5186]~P1(f317(a183,x51861))+P1(f317(f317(f226(a1),x51861),f2(a1))) % 199.88/200.99 [5226]~P110(x52261)+P1(f317(f317(f225(x52261),f2(x52261)),f72(x52261))) % 199.88/200.99 [5227]~P128(x52271)+P1(f317(f317(f319(x52271),f72(x52271)),f100(x52271))) % 199.88/200.99 [5228]~P144(x52281)+P1(f317(f317(f319(x52281),f72(x52281)),f176(x52281))) % 199.88/200.99 [5229]~P128(x52291)+P1(f317(f317(f319(x52291),f2(x52291)),f100(x52291))) % 199.88/200.99 [5230]~P144(x52301)+P1(f317(f317(f319(x52301),f2(x52301)),f176(x52301))) % 199.88/200.99 [5231]~P110(x52311)+P1(f317(f317(f226(x52311),f2(x52311)),f72(x52311))) % 199.88/200.99 [5283]E(x52831,f72(a898))+~P1(f317(f317(f277(a898),x52831),f72(a898))) % 199.88/200.99 [5284]E(x52841,f2(a898))+~P1(f317(f317(f225(a898),x52841),f2(a898))) % 199.88/200.99 [5326]E(f317(a95,x53261),f2(a898))+~P1(f317(f317(f225(a1),x53261),f2(a1))) % 199.88/200.99 [5384]P1(f317(a183,x53841))+~P1(f317(f317(f226(a1),x53841),f2(a1))) % 199.88/200.99 [5391]~P108(x53911)+P16(x53911,f899(x53911),f138(x53911,x53911,f5(x53911))) % 199.88/200.99 [5409]P39(x54091)+~P1(f317(f317(f225(a1),f2(a1)),f836(x54091))) % 199.88/200.99 [5414]E(f317(f70(a1),x54141),f317(f73(a1),x54141))+~P1(f317(f317(f226(a1),x54141),f2(a1))) % 199.88/200.99 [5586]~P110(x55861)+~P1(f317(f317(f225(x55861),f72(x55861)),f2(x55861))) % 199.88/200.99 [5587]~P110(x55871)+~P1(f317(f317(f226(x55871),f72(x55871)),f2(x55871))) % 199.88/200.99 [5603]~E(x56031,f2(a898))+P1(f317(f317(f225(a1),f317(f90(a1),x56031)),f2(a1))) % 199.88/200.99 [5604]~E(x56041,f2(a1))+P1(f317(f317(f226(a1),f317(f70(a1),x56041)),f72(a1))) % 199.88/200.99 [5726]~P81(x57261)+E(f132(x57261,x57261,f74(x57261),f2(x57261)),f155(x57261)) % 199.88/200.99 [5909]~P95(x59091)+P24(a898,x59091,f90(x59091),f232(f905(a898,a894))) % 199.88/200.99 [6116]E(x61161,f2(a898))+~P1(f317(f317(f225(a1),f317(f90(a1),x61161)),f2(a1))) % 199.88/200.99 [6117]E(x61171,f2(a1))+~P1(f317(f317(f226(a1),f317(f70(a1),x61171)),f72(a1))) % 199.88/200.99 [6940]~P1(f317(f317(f226(a1),x69401),f2(a1)))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x69401),x69401)),f2(a1))) % 199.88/200.99 [7503]P1(f317(f317(f226(a1),x75031),f2(a1)))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),x75031),x75031)),f2(a1))) % 199.88/200.99 [8054]E(x80541,f317(a3,f2(a898)))+P1(f317(f317(f226(a898),f317(f317(f23(a898),f317(a20,x80541)),f317(a102,f2(a898)))),f317(a20,x80541))) % 199.88/200.99 [8820]~P1(f317(f317(f226(a1),x88201),f2(a1)))+P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88201),x88201)),a87)),f2(a1))) % 199.88/200.99 [8917]~P1(f317(f317(f226(a1),x89171),f2(a1)))+P1(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x89171)),x89171)),f2(a1))) % 199.88/200.99 [9237]P1(f317(f317(f226(a1),x92371),f2(a1)))+~P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92371),x92371)),a87)),f2(a1))) % 199.88/200.99 [9299]P1(f317(f317(f226(a1),x92991),f2(a1)))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92991)),x92991)),f2(a1))) % 199.88/200.99 [4747]~E(a77,x47471)+E(f317(f317(f74(a1),x47471),x47471),a77) % 199.88/200.99 [4748]~E(x47481,a77)+E(f317(f317(f74(a1),x47481),x47481),a77) % 199.88/200.99 [4759]E(x47591,f2(a1))+E(f317(f317(f30(a1),x47591),x47591),f72(a1)) % 199.88/200.99 [4893]E(x48931,a77)+~E(f317(f317(f74(a1),x48931),x48931),a77) % 199.88/200.99 [4894]E(a77,x48941)+~E(f317(f317(f74(a1),x48941),x48941),a77) % 199.88/200.99 [4906]~P5(x49061)+E(f32(x49061,f178(f905(x49061,a894))),f232(x49061)) % 199.88/200.99 [4907]~P5(x49071)+E(f32(x49071,f232(f905(x49071,a894))),f178(x49071)) % 199.88/200.99 [4908]~P5(x49081)+E(f31(x49081,f178(f905(x49081,a894))),f178(x49081)) % 199.88/200.99 [4909]~P5(x49091)+E(f31(x49091,f232(f905(x49091,a894))),f232(x49091)) % 199.88/200.99 [4910]~P108(x49101)+E(f129(x49101,f178(f905(x49101,a894))),f103(x49101)) % 199.88/200.99 [5057]E(x50571,f2(a898))+P1(f317(f317(f226(a898),f2(a898)),x50571)) % 199.88/200.99 [5077]~P6(x50771)+P1(f317(f317(f225(a1),f2(a1)),x50771)) % 199.88/200.99 [5111]~E(f317(f94(a898),x51111),f2(a898))+P1(f317(f317(f225(a1),x51111),a77)) % 199.88/200.99 [5116]P39(x51161)+P1(f317(f317(f319(a1),f836(x51161)),x51161)) % 199.88/200.99 [5117]E(x51171,f317(a3,f2(a898)))+P1(f317(f317(f225(a89),f72(a89)),x51171)) % 199.88/200.99 [5158]P1(f317(a183,x51581))+P1(f317(f317(f225(a1),f2(a1)),x51581)) % 199.88/200.99 [5208]E(f317(f90(a1),f317(a95,x52081)),f2(a1))+P1(f317(f317(f225(a1),f2(a1)),x52081)) % 199.88/200.99 [5265]E(f317(f90(a1),f317(f94(a898),x52651)),f317(f94(a1),x52651))+P1(f317(a183,f317(f94(a1),x52651))) % 199.88/200.99 [5290]E(f317(f94(a898),x52901),f2(a898))+~P1(f317(a183,f317(f94(a1),x52901))) % 199.88/200.99 [5291]E(f317(f94(a898),x52911),f2(a898))+~P1(f317(f317(f225(a1),x52911),a77)) % 199.88/200.99 [5323]P6(x53231)+~P1(f317(f317(f225(a1),f2(a1)),x53231)) % 199.88/200.99 [5379]P150(f222(a895,f33(x53791)))+~P1(f317(f317(f319(a896),x53791),a906)) % 199.88/200.99 [5394]E(f317(a102,f475(x53941)),x53941)+~P1(f317(f317(f226(a898),f2(a898)),x53941)) % 199.88/200.99 [5403]E(f317(a102,f317(f94(a898),x54031)),f72(a898))+~P1(f317(a183,f317(f94(a1),x54031))) % 199.88/200.99 [5410]E(f317(f90(a1),f838(x54101)),x54101)+~P1(f317(f317(f226(a1),f2(a1)),x54101)) % 199.88/200.99 [5417]~E(x54171,f317(a3,f2(a898)))+~P1(f317(f317(f225(a89),f72(a89)),x54171)) % 199.88/200.99 [5424]E(f317(f90(a1),f317(f94(a898),x54241)),f2(a1))+~P1(f317(a183,f317(f94(a1),x54241))) % 199.88/200.99 [5450]E(f317(f155(a898),x54501),f2(a898))+P1(f317(f317(f319(a898),f545(x54501)),f317(f162(a898),x54501))) % 199.88/200.99 [5471]E(f317(f90(a1),f317(a95,x54711)),x54711)+~P1(f317(f317(f225(a1),f2(a1)),x54711)) % 199.88/200.99 [5479]~P1(f317(a183,x54791))+~P1(f317(f317(f225(a1),f2(a1)),x54791)) % 199.88/200.99 [5579]E(f317(f317(f74(a898),f72(a898)),f317(f94(a898),x55791)),f72(a898))+~P1(f317(f317(f226(a1),x55791),a77)) % 199.88/200.99 [5645]E(x56451,f2(a898))+~P1(f317(f317(f226(a898),x56451),f317(a102,f2(a898)))) % 199.88/200.99 [5667]E(x56671,f317(a102,f2(a898)))+~P1(f317(f317(f277(a898),x56671),f317(a102,f2(a898)))) % 199.88/200.99 [5685]E(f317(f317(f23(a898),f317(f94(a898),x56851)),f72(a898)),f2(a898))+~P1(f317(f317(f225(a1),x56851),a77)) % 199.88/200.99 [5686]E(f317(f317(f74(a898),f317(f94(a898),x56861)),f72(a898)),f72(a898))+~P1(f317(f317(f226(a1),x56861),a77)) % 199.88/200.99 [5698]~P39(x56981)+E(f317(f29(a898),f317(f300(a1,a898,a95),x56981)),f317(f29(a1),x56981)) % 199.88/200.99 [5727]~P108(x57271)+E(f228(x57271,f317(f7(x57271,x57271,a894),f225(x57271))),f229(x57271)) % 199.88/200.99 [5728]~P108(x57281)+E(f227(x57281,f317(f7(x57281,x57281,a894),f225(x57281))),f224(x57281)) % 199.88/200.99 [5738]E(f40(a898,f317(a102,f2(a898)),f317(f94(a898),x57381)),f317(a102,f2(a898)))+~P1(f317(a183,f317(f94(a1),x57381))) % 199.88/200.99 [5747]~P1(f317(f317(f226(a1),f2(a1)),x57471))+P1(f317(f317(f225(a1),f72(a1)),x57471)) % 199.88/200.99 [5748]P1(f317(f317(f226(a1),f2(a1)),x57481))+~P1(f317(f317(f225(a1),f72(a1)),x57481)) % 199.88/200.99 [5759]E(f317(a102,f317(f317(f23(a898),x57591),f72(a898))),x57591)+~P1(f317(f317(f226(a898),f2(a898)),x57591)) % 199.88/200.99 [5815]P1(f317(f317(f226(a898),f2(a898)),f838(x58151)))+~P1(f317(f317(f226(a1),f2(a1)),x58151)) % 199.88/200.99 [5876]E(f40(a1,f317(f94(a1),a87),x58761),f317(f317(f23(a1),x58761),f72(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x58761)) % 199.88/200.99 [5922]~P1(f317(f317(f226(a1),a77),x59221))+P1(f317(f317(f226(a898),f2(a898)),f317(f94(a898),x59221))) % 199.88/200.99 [5927]E(f317(a20,f786(x59271)),x59271)+~P1(f317(f317(f319(a898),x59271),f232(f905(a898,a894)))) % 199.88/200.99 [5980]P1(f317(f317(f226(a898),f2(a898)),f317(a95,x59801)))+~P1(f317(f317(f226(a1),f2(a1)),x59801)) % 199.88/200.99 [6031]~P1(f317(f317(f226(a898),f2(a898)),x60311))+P1(f317(f317(f226(a1),f2(a1)),f317(f90(a1),x60311))) % 199.88/200.99 [6067]~P1(f317(f317(f226(a898),f2(a898)),f317(a95,x60671)))+P1(f317(f317(f226(a1),f2(a1)),x60671)) % 199.88/200.99 [6082]~P39(x60821)+E(f317(f300(a898,a1,f90(a1)),f317(f300(a1,a898,a95),x60821)),x60821) % 199.88/200.99 [6095]P1(f317(f317(f226(a1),a77),x60951))+~P1(f317(f317(f226(a898),f2(a898)),f317(f94(a898),x60951))) % 199.88/200.99 [6154]P1(f317(f317(f226(a898),f2(a898)),x61541))+~P1(f317(f317(f226(a1),f2(a1)),f317(f90(a1),x61541))) % 199.88/200.99 [6272]E(f317(f300(a898,a1,f90(a1)),f317(f272(a898),f317(a95,x62721))),f317(f292(a1,f2(a1)),x62721))+~P1(f317(f317(f225(a1),f2(a1)),x62721)) % 199.88/200.99 [6290]~P110(x62901)+P1(f317(f317(f226(x62901),f2(x62901)),f317(f317(f74(x62901),f72(x62901)),f72(x62901)))) % 199.88/200.99 [6341]P1(f317(f317(f226(a898),f317(a102,f2(a898))),f317(a95,x63411)))+~P1(f317(f317(f226(a1),f72(a1)),x63411)) % 199.88/200.99 [6443]E(x64431,f2(a1))+P1(f317(f44(f2(a1),x64431),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))) % 199.88/200.99 [6617]~P1(f317(f317(f226(a898),f317(a102,f2(a898))),f317(a95,x66171)))+P1(f317(f317(f226(a1),f72(a1)),x66171)) % 199.88/200.99 [7058]~P117(x70581)+P36(x70581,f317(f252(f904(x70581,x70581)),f317(f247(x70581,x70581,a894),f226(x70581)))) % 199.88/200.99 [5632]E(f317(f94(a898),f317(f317(f23(a1),x56321),a87)),f317(a102,f317(f94(a898),x56321)))+P1(f317(a183,f317(f94(a1),x56321))) % 199.88/200.99 [5648]~P35(x56481)+E(f317(f317(f144(a898,a1),f90(a1)),f317(f317(f144(a1,a898),a95),x56481)),x56481) % 199.88/200.99 [5765]E(f317(f73(a1),f317(f90(a1),f317(a102,f323(x57651)))),x57651)+~P1(f317(f317(f226(a1),x57651),f2(a1))) % 199.88/200.99 [5775]E(f317(f317(f74(a898),f72(a898)),f317(f94(a898),x57751)),f317(f94(a898),f317(f317(f23(a1),x57751),a87)))+P1(f317(f317(f226(a1),x57751),a77)) % 199.88/200.99 [5817]E(f317(f317(f30(a1),f317(f94(a1),a87)),x58171),f317(f94(a1),a87))+~P1(f317(f317(f226(a1),f2(a1)),x58171)) % 199.88/200.99 [5918]E(f317(f317(f23(a898),f317(f94(a898),x59181)),f72(a898)),f317(f94(a898),f317(f317(f74(a1),x59181),a87)))+P1(f317(f317(f225(a1),x59181),a77)) % 199.88/200.99 [5919]E(f317(f317(f74(a898),f317(f94(a898),x59191)),f72(a898)),f317(f94(a898),f317(f317(f23(a1),x59191),a87)))+P1(f317(f317(f226(a1),x59191),a77)) % 199.88/200.99 [5965]E(f317(a95,f317(f317(f74(a1),f72(a1)),x59651)),f317(a102,f317(a95,x59651)))+~P1(f317(f317(f225(a1),f2(a1)),x59651)) % 199.88/200.99 [6002]E(f317(a102,f317(f317(f23(a898),x60021),f317(a102,f2(a898)))),x60021)+~P1(f317(f317(f226(a898),f2(a898)),x60021)) % 199.88/200.99 [6221]E(f40(a898,f317(a102,f2(a898)),f317(f94(a898),x62211)),f317(a95,f40(a1,f72(a1),f317(f94(a1),x62211))))+P1(f317(a183,f317(f94(a1),x62211))) % 199.88/200.99 [6265]~P1(f317(f317(f225(a1),a77),x62651))+P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x62651),x62651))) % 199.88/200.99 [6266]~P1(f317(f317(f226(a1),a87),x62661))+P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x62661),x62661))) % 199.88/200.99 [6267]~P1(f317(f317(f226(a1),a77),x62671))+P1(f317(f317(f226(a1),a77),f317(f317(f74(a1),x62671),x62671))) % 199.88/200.99 [6268]~P1(f317(f317(f226(a1),a87),x62681))+P1(f317(f317(f226(a1),a87),f317(f317(f74(a1),x62681),x62681))) % 199.88/200.99 [6457]~P1(f317(f28(x64571),f232(f905(x64571,a894))))+P1(f317(f28(f901(x64571)),f232(f905(f901(x64571),a894)))) % 199.88/200.99 [6544]~P1(f317(f317(f225(a1),f2(a1)),x65441))+P1(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),x65441))) % 199.88/200.99 [6551]E(f317(f241(a1,a1),f42(f72(a1),f317(f94(a1),x65511))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x65511)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x65511))) % 199.88/200.99 [6576]E(f317(f246(a1,a1),f42(f72(a1),f317(f94(a1),x65761))),f40(a1,f72(a1),f317(f94(a1),x65761)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x65761))) % 199.88/200.99 [6588]P1(f317(f28(x65881),f232(f905(x65881,a894))))+~P1(f317(f28(f901(x65881)),f232(f905(f901(x65881),a894)))) % 199.88/200.99 [6618]P1(f317(f317(f225(a1),a77),x66181))+~P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x66181),x66181))) % 199.88/200.99 [6619]P1(f317(f317(f226(a1),a77),x66191))+~P1(f317(f317(f226(a1),a77),f317(f317(f74(a1),x66191),x66191))) % 199.88/200.99 [6620]P1(f317(f317(f226(a1),a87),x66201))+~P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x66201),x66201))) % 199.88/200.99 [6621]P1(f317(f317(f226(a1),a87),x66211))+~P1(f317(f317(f226(a1),a87),f317(f317(f74(a1),x66211),x66211))) % 199.88/200.99 [6944]~P1(f317(f28(x69441),f232(f905(x69441,a894))))+P1(f317(f317(f226(a898),f2(a898)),f317(f29(x69441),f232(f905(x69441,a894))))) % 199.88/200.99 [7541]P1(f317(f28(a898),x75411))+~P1(f317(f28(a1),f317(f300(a898,a1,f90(a1)),x75411))) % 199.88/200.99 [5555]~E(a87,x55551)+E(f317(f317(f23(a1),f317(f317(f74(a1),x55551),x55551)),a87),a87) % 199.88/200.99 [5556]~E(x55561,a87)+E(f317(f317(f23(a1),f317(f317(f74(a1),x55561),x55561)),a87),a87) % 199.88/200.99 [6090]E(x60901,a87)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x60901),x60901)),a87),a87) % 199.88/200.99 [6091]E(a87,x60911)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x60911),x60911)),a87),a87) % 199.88/200.99 [6513]~E(f317(f94(a898),x65131),f2(a898))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x65131),a87)))) % 199.88/200.99 [6874]~P1(f317(a183,f317(f94(a1),x68741)))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x68741),x68741)))) % 199.88/200.99 [6875]~P1(f317(f317(f225(a1),x68751),a77))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68751),x68751)),a77)) % 199.88/200.99 [6876]~P1(f317(f317(f225(a1),x68761),a87))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68761),x68761)),a87)) % 199.88/200.99 [6877]~P1(f317(f317(f226(a1),x68771),a77))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x68771),x68771)),a77)) % 199.88/200.99 [6878]~P1(f317(f317(f225(a1),x68781),a87))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x68781),x68781)),a87)) % 199.88/200.99 [7204]E(f317(f94(a898),x72041),f2(a898))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x72041),a87)))) % 199.88/200.99 [7456]~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x74561)))+P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),x74561),x74561)))) % 199.88/200.99 [7457]P1(f317(a183,f317(f94(a1),x74571)))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x74571),x74571)))) % 199.88/200.99 [7458]P1(f317(f317(f225(a1),x74581),a77))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74581),x74581)),a77)) % 199.88/200.99 [7459]P1(f317(f317(f225(a1),x74591),a87))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74591),x74591)),a87)) % 199.88/200.99 [7460]P1(f317(f317(f225(a1),x74601),a87))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),x74601),x74601)),a87)) % 199.88/200.99 [7461]P1(f317(f317(f226(a1),x74611),a77))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),x74611),x74611)),a77)) % 199.88/200.99 [7823]E(f317(a97,f501(x78231)),x78231)+~P1(f317(f317(f319(f905(f904(a898,a898),a894)),x78231),a88)) % 199.88/200.99 [6430]~P93(x64301)+E(f317(f94(x64301),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(x64301)) % 199.88/200.99 [6924]~P1(f317(a183,f317(f94(a1),x69241)))+E(f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),x69241),x69241)),a87)),f2(a898)) % 199.88/200.99 [7999]~P1(f317(f317(f226(a1),f317(f94(a1),x79991)),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x79991))))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x79991))) % 199.88/200.99 [8012]~P1(f317(f317(f226(a1),f317(f94(a1),x80121)),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x80121))))),f40(a1,f72(a1),f317(f94(a1),x80121))) % 199.88/200.99 [8061]~P1(f317(f317(f225(a1),a77),x80611))+P1(f317(f317(f225(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x80611),x80611)),a87))) % 199.88/200.99 [8062]~P1(f317(f317(f225(a1),a87),x80621))+P1(f317(f317(f225(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x80621),x80621)),a87))) % 199.88/200.99 [8063]~P1(f317(f317(f225(a1),a77),x80631))+P1(f317(f317(f226(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x80631),x80631)),a87))) % 199.88/200.99 [8064]~P1(f317(f317(f226(a1),a87),x80641))+P1(f317(f317(f226(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x80641),x80641)),a87))) % 199.88/200.99 [8362]~P93(x83621)+~P27(x83621,f317(f94(x83621),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 199.88/200.99 [8545]P1(f317(f317(f225(a1),a77),x85451))+~P1(f317(f317(f225(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x85451),x85451)),a87))) % 199.88/200.99 [8546]P1(f317(f317(f225(a1),a77),x85461))+~P1(f317(f317(f226(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x85461),x85461)),a87))) % 199.88/200.99 [8547]P1(f317(f317(f225(a1),a87),x85471))+~P1(f317(f317(f225(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x85471),x85471)),a87))) % 199.88/200.99 [8548]P1(f317(f317(f226(a1),a87),x85481))+~P1(f317(f317(f226(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x85481),x85481)),a87))) % 199.88/200.99 [8867]E(f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),x88671),x88671)),a87)),f317(f317(f80(a898,a898),f317(f94(a898),x88671)),f317(f317(f8(a898,a898,a898),a102),f317(f317(f18(a898,a898,a898),f74(a898)),f5(a898)))))+P1(f317(a183,f317(f94(a1),x88671))) % 199.88/200.99 [9736]E(x97361,f178(f905(f904(a898,a898),a894)))+P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x97361),f178(f905(f904(a898,a898),a894)))),a63)) % 199.88/200.99 [8794]~P1(f317(a183,f317(f94(a1),x87941)))+P1(f317(a183,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87941),x87941)),a87)))) % 199.88/200.99 [8795]~P1(f317(f317(f226(a1),x87951),a77))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87951),x87951)),a87)),a77)) % 199.88/200.99 [8796]~P1(f317(f317(f225(a1),x87961),a87))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87961),x87961)),a87)),a87)) % 199.88/200.99 [8797]~P1(f317(f317(f226(a1),x87971),a77))+P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87971),x87971)),a87)),a77)) % 199.88/200.99 [8798]~P1(f317(f317(f226(a1),x87981),a87))+P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87981),x87981)),a87)),a87)) % 199.88/200.99 [8908]~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x89081)))+P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x89081),x89081)),a87)))) % 199.88/200.99 [9066]~P93(x90661)+E(f317(f317(f74(x90661),f72(x90661)),f72(x90661)),f317(f94(x90661),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))) % 199.88/200.99 [9221]P1(f317(a183,f317(f94(a1),x92211)))+~P1(f317(a183,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92211),x92211)),a87)))) % 199.88/200.99 [9222]P1(f317(f317(f225(a1),x92221),a87))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92221),x92221)),a87)),a87)) % 199.88/200.99 [9223]P1(f317(f317(f226(a1),x92231),a77))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92231),x92231)),a87)),a77)) % 199.88/200.99 [9224]P1(f317(f317(f226(a1),x92241),a77))+~P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92241),x92241)),a87)),a77)) % 199.88/200.99 [9225]P1(f317(f317(f226(a1),x92251),a87))+~P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92251),x92251)),a87)),a87)) % 199.88/200.99 [9781]~P1(f317(f28(f904(a898,a898)),x97811))+P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f178(f905(f904(a898,a898),a894))),x97811)),a64)) % 199.88/200.99 [9558]~P144(x95581)+E(f317(f317(f234(x95581),f72(x95581)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95581)) % 199.88/200.99 [9559]~P144(x95591)+E(f317(f317(f234(x95591),f2(x95591)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(x95591)) % 199.88/200.99 [10004]~P1(f317(f317(f226(a898),f72(a898)),x100041))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f30(a898),x100041),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/200.99 [10010]~P1(f317(f317(f226(a898),f2(a898)),x100101))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f30(a898),f317(f317(f74(a898),x100101),f72(a898))),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/200.99 [10048]~E(f40(a898,x100481,f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(a898))+P1(f317(f317(f226(a898),f2(a898)),f40(a898,x100481,f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/200.99 [10078]E(f40(a898,x100781,f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(a898))+~P1(f317(f317(f226(a898),f2(a898)),f40(a898,x100781,f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/200.99 [4679]~P7(x46791,x46792)+P42(x46791,x46792) % 199.88/200.99 [4680]~P36(x46801,x46802)+P57(x46801,x46802) % 199.88/200.99 [4681]~P43(x46811,x46812)+P57(x46811,x46812) % 199.88/200.99 [4683]~P7(x46831,x46832)+P49(x46831,x46832) % 199.88/200.99 [4685]~P15(x46851,x46852)+P49(x46851,x46852) % 199.88/200.99 [4687]~P7(x46871,x46872)+P50(x46871,x46872) % 199.88/200.99 [4689]~P15(x46891,x46892)+P50(x46891,x46892) % 199.88/200.99 [4690]~P7(x46901,x46902)+P15(x46901,x46902) % 199.88/200.99 [4640]~E(x46401,x46402)+E(f259(x46401,x46402),f72(a89)) % 199.88/200.99 [4643]E(f206(x46431,x46432),x46431)+~E(x46432,f2(a898)) % 199.88/200.99 [4650]~E(x46502,f103(x46501))+E(f142(x46501,x46502),f103(x46501)) % 199.88/200.99 [4669]~E(f142(x46692,x46691),f103(x46692))+E(x46691,f103(x46692)) % 199.88/200.99 [4694]~P65(x46942)+P65(f905(x46941,x46942)) % 199.88/200.99 [4695]~P66(x46952)+P66(f905(x46951,x46952)) % 199.88/200.99 [4696]~P107(x46962)+P107(f905(x46961,x46962)) % 199.88/200.99 [4697]~P109(x46972)+P109(f905(x46971,x46972)) % 199.88/200.99 [4698]~P70(x46982)+P70(f905(x46981,x46982)) % 199.88/200.99 [4699]~P96(x46992)+P96(f905(x46991,x46992)) % 199.88/200.99 [4700]~P91(x47002)+P91(f905(x47001,x47002)) % 199.88/200.99 [4701]~P98(x47012)+P98(f905(x47011,x47012)) % 199.88/200.99 [4702]~P98(x47022)+P103(f905(x47021,x47022)) % 199.88/200.99 [4703]~P100(x47032)+P99(f905(x47031,x47032)) % 199.88/200.99 [4704]~P5(x47042)+P5(f905(x47041,x47042)) % 199.88/200.99 [4705]~P98(x47052)+P104(f905(x47051,x47052)) % 199.88/200.99 [4706]~P101(x47062)+P101(f905(x47061,x47062)) % 199.88/200.99 [4707]~P100(x47072)+P102(f905(x47071,x47072)) % 199.88/200.99 [4708]~P116(x47082)+P116(f905(x47081,x47082)) % 199.88/200.99 [4709]~P100(x47092)+P100(f905(x47091,x47092)) % 199.88/200.99 [4722]E(x47221,x47222)+~E(f317(a102,x47221),f317(a102,x47222)) % 199.88/200.99 [4723]E(x47231,x47232)+~E(f317(a97,x47231),f317(a97,x47232)) % 199.88/200.99 [4724]E(x47241,x47242)+~E(f317(a3,x47241),f317(a3,x47242)) % 199.88/200.99 [4726]E(x47261,x47262)+~E(f317(a20,x47261),f317(a20,x47262)) % 199.88/200.99 [4775]P38(x47751,x47752)+~E(f683(x47752,x47751),f684(x47752,x47751)) % 199.88/200.99 [4805]~P57(x48051,x48052)+P38(x48051,f297(x48051,x48052)) % 199.88/200.99 [4806]~P51(x48061,x48062)+P51(x48061,f297(x48061,x48062)) % 199.88/200.99 [4819]~P3(x48191)+E(f40(x48191,x48192,x48192),f2(x48191)) % 199.88/200.99 [4853]~P36(x48531,x48532)+P36(f899(x48531),f136(x48531,x48532)) % 199.88/200.99 [4854]~P36(x48541,x48542)+P36(f899(x48541),f135(x48541,x48542)) % 199.88/200.99 [4855]~P37(x48551,x48552)+P37(f899(x48551),f137(x48551,x48552)) % 199.88/200.99 [4856]~P37(x48561,x48562)+P37(f899(x48561),f148(x48561,x48562)) % 199.88/200.99 [4857]~P51(x48571,x48572)+P51(f899(x48571),f148(x48571,x48572)) % 199.88/200.99 [4954]~P36(x49541,x49542)+P36(f905(x49541,a894),f310(x49541,x49542)) % 199.88/200.99 [4955]~P36(x49551,x49552)+P36(f905(x49551,a894),f308(x49551,x49552)) % 199.88/200.99 [5086]~P6(x50861)+P39(f293(a1,x50861,x50862)) % 199.88/200.99 [5189]~P36(x51891,x51892)+P59(x51891,f61(x51891,x51891,x51892)) % 199.88/200.99 [5692]~P67(x56921)+P24(x56921,x56921,f73(x56921),x56922) % 199.88/200.99 [4664]~E(x46642,f103(x46641))+E(f317(f157(x46641),x46642),f103(x46641)) % 199.88/200.99 [4665]~E(x46652,f103(x46651))+E(f317(f158(x46651),x46652),f103(x46651)) % 199.88/200.99 [4728]E(x47281,f317(a95,x47282))+~E(f317(f90(a1),x47281),x47282) % 199.88/200.99 [4731]E(x47311,f103(x47312))+~E(f317(f157(x47312),x47311),f103(x47312)) % 199.88/200.99 [4732]E(x47321,f103(x47322))+~E(f317(f158(x47322),x47321),f103(x47322)) % 199.88/200.99 [4744]~P93(x47441)+E(f317(f94(x47441),x47442),f317(f93(x47441),x47442)) % 199.88/200.99 [4752]~P2(x47521)+P1(f317(f28(x47521),x47522)) % 199.88/200.99 [4760]~E(f643(x47602,x47601),f103(x47601))+E(f169(x47601,x47602),f103(f899(x47601))) % 199.88/200.99 [4769]~E(x47692,f103(x47691))+E(f317(f162(x47691),x47692),f178(f905(x47691,a894))) % 199.88/200.99 [4770]~E(x47702,f103(x47701))+E(f178(f905(x47701,a894)),f317(f162(x47701),x47702)) % 199.88/200.99 [4772]E(x47721,x47722)+~E(f317(f90(a1),x47721),f317(f90(a1),x47722)) % 199.88/200.99 [4776]E(f204(x47761,x47762),f2(a898))+P1(f317(f28(x47761),x47762)) % 199.88/200.99 [4794]~P111(x47941)+E(f76(x47941,f76(x47941,x47942)),f76(x47941,x47942)) % 199.88/200.99 [4808]~P112(x48081)+E(f317(f317(f234(x48081),x48082),f72(a898)),x48082) % 199.88/200.99 [4809]~P82(x48091)+E(f317(f317(f234(x48091),x48092),f72(a898)),x48092) % 199.88/200.99 [4810]~P51(x48101,x48102)+E(f317(f276(x48101,x48101),x48102),x48102) % 199.88/200.99 [4814]E(x48141,x48142)+E(f259(x48141,x48142),f317(f317(f74(a89),x48142),f72(a89))) % 199.88/200.99 [4817]E(f317(f29(x48171),x48172),f2(a898))+P1(f317(f28(x48171),x48172)) % 199.88/200.99 [4820]~E(f142(x48201,x48202),x48202)+P1(f317(f127(x48201),x48202)) % 199.88/200.99 [4823]~P76(x48231)+E(f317(f317(f23(x48231),x48232),f2(x48231)),x48232) % 199.88/200.99 [4824]~P81(x48241)+E(f317(f317(f74(x48241),x48242),f2(x48241)),x48242) % 199.88/200.99 [4825]~P77(x48251)+E(f317(f317(f74(x48251),x48252),f2(x48251)),x48252) % 199.88/200.99 [4826]~P112(x48261)+E(f317(f317(f74(x48261),x48262),f2(x48261)),x48262) % 199.88/200.99 [4827]~P112(x48271)+E(f317(f317(f75(x48271),x48272),f72(x48271)),x48272) % 199.88/200.99 [4828]~P78(x48281)+E(f317(f317(f75(x48281),x48282),f72(x48281)),x48282) % 199.88/200.99 [4829]~P82(x48291)+E(f317(f317(f75(x48291),x48292),f72(x48291)),x48292) % 199.88/200.99 [4830]~P3(x48301)+E(f317(f317(f30(x48301),x48302),f72(x48301)),x48302) % 199.88/200.99 [4831]~P122(x48311)+E(f317(f317(f281(x48311),x48312),f72(x48311)),x48312) % 199.88/200.99 [4832]~P99(x48321)+E(f317(f317(f91(x48321),x48322),f178(x48321)),x48322) % 199.88/200.99 [4833]~P102(x48331)+E(f317(f317(f92(x48331),x48332),f232(x48331)),x48332) % 199.88/200.99 [4834]~P112(x48341)+E(f317(f317(f234(x48341),x48342),f2(a898)),f72(x48341)) % 199.88/200.99 [4835]~P115(x48351)+E(f317(f317(f234(x48351),x48352),f2(a898)),f72(x48351)) % 199.88/200.99 [4836]~E(x48362,f178(f905(x48361,a894)))+E(f317(f29(x48361),x48362),f2(a898)) % 199.88/200.99 [4847]~P3(x48471)+E(f40(x48471,x48472,f2(x48471)),x48472) % 199.88/200.99 [4858]~P112(x48581)+E(f317(f317(f75(x48581),x48582),f2(x48581)),f2(x48581)) % 199.88/200.99 [4859]~P130(x48591)+E(f317(f317(f75(x48591),x48592),f2(x48591)),f2(x48591)) % 199.88/200.99 [4860]~P3(x48601)+E(f317(f317(f30(x48601),x48602),f2(x48601)),f2(x48601)) % 199.88/200.99 [4861]~P123(x48611)+E(f317(f317(f281(x48611),x48612),f2(x48611)),f2(x48611)) % 199.88/200.99 [4862]~P102(x48621)+E(f317(f317(f91(x48621),x48622),f232(x48621)),f232(x48621)) % 199.88/200.99 [4863]~P99(x48631)+E(f317(f317(f92(x48631),x48632),f178(x48631)),f178(x48631)) % 199.88/200.99 [4865]~P3(x48651)+E(f40(x48651,x48652,f72(x48651)),f2(x48651)) % 199.88/200.99 [4866]~P3(x48661)+E(f40(x48661,f2(x48661),x48662),f2(x48661)) % 199.88/200.99 [4895]E(x48951,f2(a898))+E(f50(x48952,x48951,f103(x48952)),f103(f899(x48952))) % 199.88/200.99 [4918]P51(x49181,x49182)+~E(f317(f276(x49181,x49181),x49182),x49182) % 199.88/200.99 [4919]P36(x49191,x49192)+~E(f546(x49192,x49191),f178(f905(x49191,a894))) % 199.88/200.99 [4920]E(x49201,f103(x49202))+~E(f317(f162(x49202),x49201),f178(f905(x49202,a894))) % 199.88/200.99 [4921]E(x49211,f103(x49212))+~E(f178(f905(x49212,a894)),f317(f162(x49212),x49211)) % 199.88/200.99 [4924]~E(x49241,x49242)+P1(f317(f317(a314,x49241),x49242)) % 199.88/200.99 [4934]P1(x49341)+P1(f317(f317(a320,x49341),x49342)) % 199.88/200.99 [4935]E(x49351,f103(x49352))+E(f317(f317(f154(x49352),x49351),f2(a898)),f317(f131(x49352),x49351)) % 199.88/200.99 [4938]E(f142(x49381,x49382),x49382)+~P1(f317(f127(x49381),x49382)) % 199.88/200.99 [4945]~P1(x49452)+P1(f317(f317(a320,x49451),x49452)) % 199.88/200.99 [4946]~P1(x49462)+P1(f317(f317(a316,x49461),x49462)) % 199.88/200.99 [4947]~P1(x49471)+P1(f317(f317(a316,x49471),x49472)) % 199.88/200.99 [4957]~E(f644(x49572,x49571),f648(x49572,x49571))+P1(f317(f127(x49571),x49572)) % 199.88/200.99 [4964]E(f317(f252(x49641),x49642),f178(f905(x49641,a894)))+P1(f317(x49642,f499(x49642))) % 199.88/200.99 [4965]E(f178(f905(x49651,a894)),f317(f252(x49651),x49652))+P1(f317(x49652,f500(x49652))) % 199.88/200.99 [5038]~P111(x50381)+E(f317(f317(f75(x50381),x50382),f76(x50381,x50382)),f317(f70(x50381),x50382)) % 199.88/200.99 [5050]~E(x50501,f2(a1))+E(f41(x50501,x50502),f317(f317(f242(a1,a1),f2(a1)),f2(a1))) % 199.88/200.99 [5082]~P57(x50821,x50822)+P57(x50821,f317(f276(x50821,x50821),x50822)) % 199.88/200.99 [5083]~P37(x50831,x50832)+P37(x50831,f317(f276(x50831,x50831),x50832)) % 199.88/200.99 [5084]~P38(x50841,x50842)+P38(x50841,f317(f276(x50841,x50841),x50842)) % 199.88/200.99 [5085]~P51(x50851,x50852)+P51(x50851,f317(f276(x50851,x50851),x50852)) % 199.88/200.99 [5107]E(x51071,x51072)+~P1(f317(f317(a314,x51071),x51072)) % 199.88/200.99 [5118]P1(x51181)+~P1(f317(f317(a315,x51182),x51181)) % 199.88/200.99 [5119]P1(x51191)+~P1(f317(f317(a315,x51191),x51192)) % 199.88/200.99 [5124]~P116(x51241)+P1(f317(f317(f225(x51241),x51242),f232(x51241))) % 199.88/200.99 [5125]~P112(x51251)+P1(f317(f317(f277(x51251),x51252),f2(x51251))) % 199.88/200.99 [5129]E(x51291,x51292)+~E(f317(x51291,f402(x51292,x51291)),f317(x51292,f402(x51292,x51291))) % 199.88/200.99 [5160]E(x51601,f2(a898))+E(f206(x51601,f40(a898,x51602,x51601)),f206(x51602,x51601)) % 199.88/200.99 [5165]~P108(x51651)+P13(x51651,f317(f317(f141(x51651),x51652),f103(x51651))) % 199.88/200.99 [5167]E(x51671,f2(a1))+P1(f317(f44(x51672,x51671),f41(x51672,x51671))) % 199.88/200.99 [5184]~P15(x51842,x51841)+P1(f317(f317(x51841,f779(x51841)),f779(x51841))) % 199.88/200.99 [5187]~E(x51871,x51872)+P1(f317(f317(f226(a898),x51871),f317(a102,x51872))) % 199.88/200.99 [5197]~E(x51971,f2(a898))+P1(f317(f317(f226(a898),x51971),f317(a102,x51972))) % 199.88/200.99 [5207]P1(f317(x52071,x52072))+P1(f317(f317(f225(a1),f2(a1)),f851(x52071))) % 199.88/200.99 [5270]P57(x52701,x52702)+~P57(x52701,f317(f276(x52701,x52701),x52702)) % 199.88/200.99 [5271]P37(x52711,x52712)+~P37(x52711,f317(f276(x52711,x52711),x52712)) % 199.88/200.99 [5272]P38(x52721,x52722)+~P38(x52721,f317(f276(x52721,x52721),x52722)) % 199.88/200.99 [5273]P51(x52731,x52732)+~P51(x52731,f317(f276(x52731,x52731),x52732)) % 199.88/200.99 [5276]~E(f40(a898,x52762,x52761),f2(a898))+E(f317(f317(f75(a898),x52761),f854(x52761,x52762)),x52762) % 199.88/200.99 [5277]~E(f40(a1,x52772,x52771),f2(a1))+E(f317(f317(f75(a1),x52771),f855(x52771,x52772)),x52772) % 199.88/200.99 [5304]~P1(f317(x53041,x53042))+P1(f317(f317(f225(a1),f2(a1)),f837(x53041))) % 199.88/200.99 [5315]E(f317(f317(f23(a898),f317(a95,x53151)),f317(a95,x53152)),f317(a95,x53151))+~P1(f317(a183,x53152)) % 199.88/200.99 [5338]E(f262(x53381,x53382),f72(a89))+~P1(f317(f317(f225(a89),x53381),f72(a89))) % 199.88/200.99 [5436]E(f317(f317(f154(x54361),x54362),f644(x54362,x54361)),f317(f317(f154(x54361),x54362),f648(x54362,x54361)))+P1(f317(f127(x54361),x54362)) % 199.88/200.99 [5480]~P1(f317(x54801,f84(x54802,x54801)))+P1(f317(x54801,f556(x54802,x54801))) % 199.88/200.99 [5545]P59(x55451,x55452)+~P1(f317(f305(x55451,x55452),f519(x55452,x55451))) % 199.88/200.99 [5689]~P15(x56892,x56891)+P1(f317(f317(x56891,f780(x56891,x56892)),f780(x56891,x56892))) % 199.88/200.99 [5690]~P15(x56902,x56901)+P1(f317(f317(x56901,f783(x56901,x56902)),f783(x56901,x56902))) % 199.88/200.99 [5699]~E(f317(a102,f40(a898,x56991,x56992)),x56992)+E(f40(a898,f317(a102,x56991),x56992),f2(a898)) % 199.88/200.99 [5754]P36(x57541,x57542)+P1(f317(f317(f319(x57541),f600(x57542,x57541)),f601(x57542,x57541))) % 199.88/200.99 [5761]~P93(x57611)+P1(f317(f317(f319(x57611),f317(f94(x57611),x57612)),f100(x57611))) % 199.88/200.99 [5762]~P128(x57621)+P1(f317(f317(f319(x57621),f317(f90(x57621),x57622)),f100(x57621))) % 199.88/200.99 [5763]~P144(x57631)+P1(f317(f317(f319(x57631),f317(f90(x57631),x57632)),f176(x57631))) % 199.88/200.99 [5764]~P128(x57641)+P1(f317(f317(f319(x57641),f317(f93(x57641),x57642)),f100(x57641))) % 199.88/200.99 [5907]~P37(x59071,x59072)+E(f317(f317(f279(x59071,x59071,x59071),x59072),f297(x59071,x59072)),x59072) % 199.88/200.99 [5921]E(f317(a102,f40(a898,x59211,x59212)),x59212)+E(f40(a898,f317(a102,x59211),x59212),f317(a102,f40(a898,x59211,x59212))) % 199.88/200.99 [6354]P36(x63541,x63542)+~P1(f317(f317(f319(x63541),f520(x63542,x63541)),f306(x63541,x63542))) % 199.88/200.99 [6393]~P110(x63931)+~P1(f317(f317(f226(x63931),f317(f90(x63931),x63932)),f2(x63931))) % 199.88/200.99 [6394]~P85(x63941)+~P1(f317(f317(f226(x63941),f317(f70(x63941),x63942)),f2(x63941))) % 199.88/200.99 [6484]P1(f317(f317(f226(a1),x64841),f40(a1,x64842,x64841)))+~P1(f317(f317(f226(a1),x64841),f2(a1))) % 199.88/200.99 [6590]E(f317(f317(f299(a898),f317(a102,x65901)),f293(a898,x65902,x65901)),f293(a898,x65902,f317(a102,x65901)))+~P1(f317(f317(f225(a898),x65902),f317(a102,x65901))) % 199.88/200.99 [6682]~P108(x66821)+P13(x66821,f140(x66821,x66821,f5(x66821),x66822)) % 199.88/200.99 [6814]E(f317(f157(x68141),x68142),x68142)+~P1(f317(f317(f225(a898),f317(f179(f899(x68141)),x68142)),f72(a898))) % 199.88/200.99 [6836]~P85(x68361)+P1(f317(f317(f225(x68361),f317(f73(x68361),f317(f70(x68361),x68362))),f2(x68361))) % 199.88/200.99 [6870]~P36(x68701,x68702)+P36(x68701,f317(f317(f279(x68701,x68701,x68701),x68702),f297(x68701,x68702))) % 199.88/200.99 [6871]~P51(x68711,x68712)+P51(x68711,f317(f317(f279(x68711,x68711,x68711),x68712),f297(x68711,x68712))) % 199.88/200.99 [7098]~P1(f317(f317(f226(a1),x70982),f2(a1)))+P1(f317(f317(f225(a1),f40(a1,x70981,x70982)),f2(a1))) % 199.88/200.99 [7498]~P144(x74981)+E(f180(x74981,f317(f317(f7(x74981,x74981,x74981),f74(x74981)),f72(x74981)),x74982,f2(x74981)),f317(f90(x74981),x74982)) % 199.88/200.99 [7527]~P126(x75271)+~P1(f317(f317(f226(x75271),f317(f317(f75(x75271),x75272),x75272)),f2(x75271))) % 199.88/200.99 [10170]~P111(x101701)+~P1(f317(f317(f226(x101701),f317(f317(f234(x101701),x101702),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101701))) % 199.88/200.99 [4729]~E(x47292,f103(x47291))+E(f317(f179(f899(x47291)),x47292),f2(a898)) % 199.88/200.99 [4761]~E(x47611,f2(a898))+E(f317(f317(f74(a898),x47611),x47612),x47612) % 199.88/200.99 [4762]~E(x47622,f2(a898))+E(f317(f317(f75(a898),x47621),x47622),f2(a898)) % 199.88/200.99 [4764]~E(x47641,f2(a898))+E(f317(f317(f75(a898),x47641),x47642),f2(a898)) % 199.88/200.99 [4765]~E(x47652,f2(a898))+E(f317(f317(f234(a898),x47651),x47652),f72(a898)) % 199.88/200.99 [4766]~E(x47662,f2(a1))+E(f317(f317(f30(a1),x47661),x47662),f2(a1)) % 199.88/200.99 [4777]E(x47771,f103(x47772))+~E(f317(f179(f899(x47772)),x47771),f2(a898)) % 199.88/200.99 [4779]~P97(x47791)+E(f317(f317(f75(x47791),x47792),x47792),x47792) % 199.88/200.99 [4781]~P108(x47811)+E(f317(f317(f229(x47811),x47812),x47812),x47812) % 199.88/200.99 [4783]~P108(x47831)+E(f317(f317(f224(x47831),x47832),x47832),x47832) % 199.88/200.99 [4784]~P98(x47841)+E(f317(f317(f91(x47841),x47842),x47842),x47842) % 199.88/200.99 [4786]~P103(x47861)+E(f317(f317(f91(x47861),x47862),x47862),x47862) % 199.88/200.99 [4787]~P98(x47871)+E(f317(f317(f92(x47871),x47872),x47872),x47872) % 199.88/200.99 [4789]~P104(x47891)+E(f317(f317(f92(x47891),x47892),x47892),x47892) % 199.88/200.99 [4807]~P76(x48071)+E(f317(f317(f23(x48071),x48072),x48072),f2(x48071)) % 199.88/200.99 [4821]~P76(x48211)+E(f317(f73(x48211),f317(f73(x48211),x48212)),x48212) % 199.88/200.99 [4822]~P96(x48221)+E(f317(f73(x48221),f317(f73(x48221),x48222)),x48222) % 199.88/200.99 [4839]~E(x48392,f2(a898))+E(f317(f317(f234(a898),x48391),x48392),f317(a102,f2(a898))) % 199.88/200.99 [4874]~P81(x48741)+E(f317(f317(f74(x48741),f2(x48741)),x48742),x48742) % 199.88/200.99 [4875]~P77(x48751)+E(f317(f317(f74(x48751),f2(x48751)),x48752),x48752) % 199.88/200.99 [4876]~P112(x48761)+E(f317(f317(f74(x48761),f2(x48761)),x48762),x48762) % 199.88/200.99 [4877]~P112(x48771)+E(f317(f317(f75(x48771),f72(x48771)),x48772),x48772) % 199.88/200.99 [4878]~P78(x48781)+E(f317(f317(f75(x48781),f72(x48781)),x48782),x48782) % 199.88/200.99 [4879]~P82(x48791)+E(f317(f317(f75(x48791),f72(x48791)),x48792),x48792) % 199.88/200.99 [4880]~P99(x48801)+E(f317(f317(f91(x48801),f178(x48801)),x48802),x48802) % 199.88/200.99 [4881]~P102(x48811)+E(f317(f317(f92(x48811),f232(x48811)),x48812),x48812) % 199.88/200.99 [4899]~P112(x48991)+E(f317(f317(f75(x48991),f2(x48991)),x48992),f2(x48991)) % 199.88/200.99 [4900]~P130(x49001)+E(f317(f317(f75(x49001),f2(x49001)),x49002),f2(x49001)) % 199.88/200.99 [4901]~P82(x49011)+E(f317(f317(f234(x49011),f72(x49011)),x49012),f72(x49011)) % 199.88/200.99 [4902]~P3(x49021)+E(f317(f317(f30(x49021),f2(x49021)),x49022),f2(x49021)) % 199.88/200.99 [4903]~P122(x49031)+E(f317(f317(f281(x49031),f2(x49031)),x49032),f2(x49031)) % 199.88/200.99 [4904]~P102(x49041)+E(f317(f317(f91(x49041),f232(x49041)),x49042),f232(x49041)) % 199.88/200.99 [4905]~P99(x49051)+E(f317(f317(f92(x49051),f178(x49051)),x49052),f178(x49051)) % 199.88/200.99 [4913]E(x49131,f103(x49132))+E(f134(x49132,f317(f158(x49132),x49131)),f317(f131(x49132),x49131)) % 199.88/200.99 [4914]E(x49141,f103(x49142))+E(f317(f131(x49142),f317(f158(x49142),x49141)),f134(x49142,x49141)) % 199.88/200.99 [4915]E(x49151,f2(a898))+~E(f317(f317(f74(a898),x49152),x49151),x49152) % 199.88/200.99 [4922]~P93(x49221)+E(f317(f93(x49221),f317(f94(a1),x49222)),f317(f94(x49221),x49222)) % 199.88/200.99 [4923]~P128(x49231)+E(f317(f93(x49231),f317(f90(a1),x49232)),f317(f90(x49231),x49232)) % 199.88/200.99 [4930]E(x49301,f72(a898))+~E(f317(f317(f75(a898),x49302),x49301),f72(a898)) % 199.88/200.99 [4931]E(x49311,f72(a898))+~E(f317(f317(f75(a898),x49311),x49312),f72(a898)) % 199.88/200.99 [4932]E(x49321,f2(a898))+~E(f317(f317(f74(a898),x49322),x49321),f2(a898)) % 199.88/200.99 [4933]E(x49331,f2(a898))+~E(f317(f317(f74(a898),x49331),x49332),f2(a898)) % 199.88/200.99 [4950]~P111(x49501)+E(f317(f70(x49501),f317(f90(x49501),x49502)),f317(f90(x49501),x49502)) % 199.88/200.99 [4951]~P85(x49511)+E(f317(f70(x49511),f317(f70(x49511),x49512)),f317(f70(x49511),x49512)) % 199.88/200.99 [4952]~P85(x49521)+E(f317(f70(x49521),f317(f73(x49521),x49522)),f317(f70(x49521),x49522)) % 199.88/200.99 [4953]~P77(x49531)+E(f317(f155(x49531),f317(f158(x49531),x49532)),f317(f155(x49531),x49532)) % 199.88/200.99 [4958]~E(x49581,f317(a102,f2(a898)))+E(f317(f317(f234(a898),x49581),x49582),f317(a102,f2(a898))) % 199.88/200.99 [4967]~P76(x49671)+E(f317(f317(f23(x49671),f2(x49671)),x49672),f317(f73(x49671),x49672)) % 199.88/200.99 [4968]~E(x49682,f2(a898))+E(f129(a898,f317(f292(a898,x49681),x49682)),f103(a898)) % 199.88/200.99 [4977]~P93(x49771)+E(f317(f317(f74(x49771),x49772),f317(f94(x49771),a77)),x49772) % 199.88/200.99 [4978]E(x49781,f2(a1))+E(f42(f317(f70(a1),x49782),f317(f70(a1),x49781)),f48(x49782,x49781)) % 199.88/200.99 [4994]~E(x49941,x49942)+P1(f317(f317(f225(a898),x49941),x49942)) % 199.88/200.99 [4998]~E(x49981,x49982)+P1(f317(f317(f277(a898),x49981),x49982)) % 199.88/200.99 [5005]~E(x50051,f2(a89))+E(f317(f317(f74(a898),f317(a20,x50051)),x50052),x50052) % 199.88/200.99 [5019]~P6(x50191)+P6(f317(f317(f234(a1),x50191),x50192)) % 199.88/200.99 [5020]~P76(x50201)+E(f317(f317(f74(x50201),x50202),f317(f73(x50201),x50202)),f2(x50201)) % 199.88/200.99 [5021]~P96(x50211)+E(f317(f317(f91(x50211),x50212),f317(f73(x50211),x50212)),f232(x50211)) % 199.88/200.99 [5022]~P96(x50221)+E(f317(f317(f92(x50221),x50222),f317(f73(x50221),x50222)),f178(x50221)) % 199.88/200.99 [5047]E(x50471,f2(a898))+~E(f317(f73(a1),f317(f90(a1),x50472)),f317(f90(a1),x50471)) % 199.88/200.99 [5048]E(x50481,f2(a898))+~E(f317(f73(a1),f317(f90(a1),x50481)),f317(f90(a1),x50482)) % 199.88/200.99 [5058]E(f184(x50581,x50582),f2(a1))+P1(f317(f317(f225(a1),x50582),x50581)) % 199.88/200.99 [5059]E(f168(x50591,x50592),f103(a1))+P1(f317(f317(f225(a1),x50591),x50592)) % 199.88/200.99 [5060]E(f231(x50601,x50602),f2(a89))+P1(f317(f317(f226(a89),x50601),x50602)) % 199.88/200.99 [5073]E(x50731,f317(a102,f2(a898)))+~E(f317(f317(f75(a898),x50732),x50731),f317(a102,f2(a898))) % 199.88/200.99 [5074]E(x50741,f317(a102,f2(a898)))+~E(f317(f317(f75(a898),x50741),x50742),f317(a102,f2(a898))) % 199.88/200.99 [5075]~P65(x50751)+P1(f317(f317(f225(x50751),x50752),x50752)) % 199.88/200.99 [5076]~P112(x50761)+P1(f317(f317(f277(x50761),x50762),x50762)) % 199.88/200.99 [5079]~P93(x50791)+E(f317(f317(f75(x50791),x50792),f317(f94(x50791),a87)),f317(f73(x50791),x50792)) % 199.88/200.99 [5099]~P93(x50991)+E(f317(f73(x50991),f317(f94(x50991),x50992)),f317(f94(x50991),f317(f73(a1),x50992))) % 199.88/200.99 [5100]~P128(x51001)+E(f317(f73(x51001),f317(f93(x51001),x51002)),f317(f93(x51001),f317(f73(a1),x51002))) % 199.88/200.99 [5130]~E(x51301,f317(a102,x51302))+P1(f317(f317(f226(a898),f2(a898)),x51301)) % 199.88/200.99 [5148]~P108(x51481)+E(f317(f73(f905(x51481,a894)),f317(f272(x51481),x51482)),f317(f273(x51481),x51482)) % 199.88/200.99 [5149]~P108(x51491)+E(f317(f73(f905(x51491,a894)),f317(f291(x51491),x51492)),f317(f294(x51491),x51492)) % 199.88/200.99 [5150]~P108(x51501)+E(f317(f73(f905(x51501,a894)),f317(f273(x51501),x51502)),f317(f272(x51501),x51502)) % 199.88/200.99 [5151]~P108(x51511)+E(f317(f73(f905(x51511,a894)),f317(f294(x51511),x51512)),f317(f291(x51511),x51512)) % 199.88/200.99 [5159]~E(f317(f90(a1),x51592),x51591)+P1(f317(f317(f225(a1),f2(a1)),x51591)) % 199.88/200.99 [5166]~E(x51662,f2(a1))+E(f48(x51661,x51662),f317(f317(f242(a1,a1),f2(a1)),f317(f70(a1),x51661))) % 199.88/200.99 [5168]~P66(x51681)+P1(f317(f317(f225(x51681),f178(x51681)),x51682)) % 199.88/200.99 [5169]~P112(x51691)+P1(f317(f317(f277(x51691),f72(x51691)),x51692)) % 199.88/200.99 [5202]E(x52021,x52022)+~E(f317(f317(f74(a1),x52021),x52021),f317(f317(f74(a1),x52022),x52022)) % 199.88/200.99 [5206]~P1(f317(x52061,x52062))+P1(f317(x52061,f317(a95,f837(x52061)))) % 199.88/200.99 [5232]~P111(x52321)+E(f317(f317(f75(x52321),f76(x52321,x52322)),f317(f70(x52321),x52322)),x52322) % 199.88/200.99 [5239]~E(x52392,f2(a898))+E(f79(f904(a898,a898),f43(x52391,x52392)),f317(f317(f242(a898,a898),f2(a898)),x52391)) % 199.88/200.99 [5244]~E(x52441,x52442)+~P1(f317(f317(f226(a898),x52441),x52442)) % 199.88/200.99 [5245]~E(x52451,x52452)+~P1(f317(f317(f226(a1),x52451),x52452)) % 199.88/200.99 [5248]~P144(x52481)+E(f317(f317(f74(x52481),f72(x52481)),f317(f90(x52481),x52482)),f317(f90(x52481),f317(a102,x52482))) % 199.88/200.99 [5252]~E(x52521,f2(a898))+~P1(f317(f317(f226(a898),x52522),x52521)) % 199.88/200.99 [5266]E(f142(x52661,x52662),x52662)+~E(f317(f179(f899(x52661)),f142(x52661,x52662)),f317(f179(f899(x52661)),x52662)) % 199.88/200.99 [5267]E(f317(f29(x52671),f317(f162(x52671),x52672)),f317(f179(f899(x52671)),x52672))+~P1(f317(f127(x52671),x52672)) % 199.88/200.99 [5281]~P1(f317(x52811,f772(x52811)))+P1(f317(x52811,f317(f90(a1),x52812))) % 199.88/200.99 [5292]E(f231(x52921,x52922),x52922)+~P1(f317(f317(f226(a89),x52921),x52922)) % 199.88/200.99 [5294]E(f262(x52941,x52942),f72(a89))+~P1(f317(f317(f226(a89),x52942),x52941)) % 199.88/200.99 [5295]E(f168(x52951,x52952),f103(a1))+~P1(f317(f317(f226(a1),x52952),x52951)) % 199.88/200.99 [5296]E(f118(x52961,x52962),f105(a1))+~P1(f317(f317(f226(a1),x52961),x52962)) % 199.88/200.99 [5298]~P109(x52981)+E(f293(x52981,x52982,x52982),f317(f317(f299(x52981),x52982),f178(f905(x52981,a894)))) % 199.88/200.99 [5318]~E(f317(f317(f23(a898),x53181),x53182),f2(a898))+P1(f317(f317(f225(a898),x53181),x53182)) % 199.88/200.99 [5335]~E(x53352,f2(a898))+E(f50(x53351,x53352,f103(x53351)),f317(f317(f141(f899(x53351)),f103(x53351)),f103(f899(x53351)))) % 199.88/200.99 [5339]~P65(x53391)+~P1(f317(f317(f226(x53391),x53392),x53392)) % 199.88/200.99 [5341]~E(f40(a1,x53411,x53412),f2(a1))+E(f40(a1,x53411,f317(f73(a1),x53412)),f2(a1)) % 199.88/200.99 [5343]~E(f40(a1,x53431,x53432),f2(a1))+E(f40(a1,f317(f73(a1),x53431),x53432),f2(a1)) % 199.88/200.99 [5351]E(f317(f292(a898,x53511),f317(a102,x53512)),f178(f905(a898,a894)))+P1(f317(f317(f225(a898),x53511),x53512)) % 199.88/200.99 [5375]E(f129(a898,f317(f292(a898,x53751),x53752)),f103(a898))+P1(f317(f317(f226(a898),x53751),x53752)) % 199.88/200.99 [5381]~E(f317(f29(x53811),f317(f162(x53811),x53812)),f317(f179(f899(x53811)),x53812))+P1(f317(f127(x53811),x53812)) % 199.88/200.99 [5385]~P1(f317(f127(x53851),x53852))+P1(f317(f127(x53851),f317(f157(x53851),x53852))) % 199.88/200.99 [5386]~P1(f317(f127(x53861),x53862))+P1(f317(f127(x53861),f317(f161(x53861),x53862))) % 199.88/200.99 [5387]~P1(f317(f127(x53871),x53872))+P1(f317(f127(x53871),f317(f158(x53871),x53872))) % 199.88/200.99 [5395]P1(f317(x53951,x53952))+~P1(f317(x53951,f317(a95,f851(x53951)))) % 199.88/200.99 [5396]P1(f317(f317(f225(a898),x53962),x53961))+P1(f317(f317(f225(a898),x53961),x53962)) % 199.88/200.99 [5397]P1(f317(f317(f225(a1),x53972),x53971))+P1(f317(f317(f225(a1),x53971),x53972)) % 199.88/200.99 [5401]~P85(x54011)+P1(f317(f317(f225(x54011),x54012),f317(f70(x54011),x54012))) % 199.88/200.99 [5404]P1(f317(x54041,f796(x54041)))+~P1(f317(x54041,f317(f90(a1),x54042))) % 199.88/200.99 [5428]E(f317(f317(f23(a898),x54281),x54282),f2(a898))+~P1(f317(f317(f225(a898),x54281),x54282)) % 199.88/200.99 [5429]E(f317(f317(f30(a898),x54291),x54292),f2(a898))+~P1(f317(f317(f226(a898),x54291),x54292)) % 199.88/200.99 [5448]E(f40(a898,x54481,x54482),x54481)+~P1(f317(f317(f226(a898),x54481),x54482)) % 199.88/200.99 [5456]E(f40(a1,x54561,f317(f73(a1),x54562)),f282(x54561,x54562))+P1(f317(f317(f225(a1),f2(a1)),x54562)) % 199.88/200.99 [5469]E(f317(f317(f23(a1),x54691),x54692),f184(x54691,x54692))+~P1(f317(f317(f225(a1),x54692),x54691)) % 199.88/200.99 [5489]P1(f317(f317(f225(a1),f2(a1)),f772(x54891)))+P1(f317(x54891,f317(f90(a1),x54892))) % 199.88/200.99 [5502]~P110(x55021)+P1(f317(f317(f225(x55021),f2(x55021)),f317(f90(x55021),x55022))) % 199.88/200.99 [5503]~P85(x55031)+P1(f317(f317(f225(x55031),f2(x55031)),f317(f70(x55031),x55032))) % 199.88/200.99 [5531]E(f317(f317(f74(a898),x55311),f403(x55312,x55311)),x55312)+~P1(f317(f317(f225(a898),x55311),x55312)) % 199.88/200.99 [5546]E(f293(a1,x55461,x55462),f178(f905(a1,a894)))+~P1(f317(f317(f226(a1),x55462),x55461)) % 199.88/200.99 [5548]~P111(x55481)+E(f317(f317(f75(x55481),f317(f70(x55481),x55482)),f317(f70(x55481),x55482)),f317(f317(f75(x55481),x55482),x55482)) % 199.88/200.99 [5554]E(f129(a898,f317(f292(a898,x55541),f317(a102,x55542))),f103(a898))+P1(f317(f317(f225(a898),x55541),x55542)) % 199.88/200.99 [5557]E(f317(f317(f30(a1),x55571),x55572),f283(x55571,x55572))+~P1(f317(f317(f225(a1),f2(a1)),x55572)) % 199.88/200.99 [5577]P1(f317(f127(x55771),x55772))+~P1(f317(f127(x55771),f317(f157(x55771),x55772))) % 199.88/200.99 [5578]P1(f317(f127(x55781),x55782))+~P1(f317(f127(x55781),f317(f158(x55781),x55782))) % 199.88/200.99 [5605]P1(f317(f28(a898),x56051))+P1(f317(f317(f319(a898),f590(x56051,x56052)),x56051)) % 199.88/200.99 [5606]P1(f317(f28(a898),x56061))+P1(f317(f317(f319(a898),f599(x56061,x56062)),x56061)) % 199.88/200.99 [5609]P1(f317(f317(f226(a898),x56092),f317(a102,x56091)))+P1(f317(f317(f226(a898),x56091),x56092)) % 199.88/200.99 [5610]E(f40(a1,x56101,x56102),f282(x56101,x56102))+~P1(f317(f317(f225(a1),f2(a1)),x56102)) % 199.88/200.99 [5613]E(f129(a898,f317(f292(a898,x56131),x56132)),f103(a898))+~P1(f317(f317(f225(a898),x56132),x56131)) % 199.88/200.99 [5614]~P67(x56141)+E(f317(f300(x56141,x56141,f73(x56141)),f317(f272(x56141),x56142)),f317(f294(x56141),f317(f73(x56141),x56142))) % 199.88/200.99 [5615]~P67(x56151)+E(f317(f300(x56151,x56151,f73(x56151)),f317(f291(x56151),x56152)),f317(f273(x56151),f317(f73(x56151),x56152))) % 199.88/200.99 [5616]~P67(x56161)+E(f317(f300(x56161,x56161,f73(x56161)),f317(f273(x56161),x56162)),f317(f291(x56161),f317(f73(x56161),x56162))) % 199.88/200.99 [5617]~P67(x56171)+E(f317(f300(x56171,x56171,f73(x56171)),f317(f294(x56171),x56172)),f317(f272(x56171),f317(f73(x56171),x56172))) % 199.88/200.99 [5628]E(x56281,f178(f905(x56282,a894)))+P1(f317(f317(f319(x56282),f850(x56281,x56282)),x56281)) % 199.88/200.99 [5629]E(x56291,f178(f905(x56292,a894)))+P1(f317(f317(f319(x56292),f857(x56291,x56292)),x56291)) % 199.88/200.99 [5640]~P1(f317(f317(f226(a898),x56401),x56402))+P1(f317(f317(f225(a898),x56401),x56402)) % 199.88/200.99 [5641]~P1(f317(f317(f226(a1),x56411),x56412))+P1(f317(f317(f225(a1),x56411),x56412)) % 199.88/200.99 [5657]E(f42(x56571,x56572),f317(f317(f242(a1,a1),f2(a1)),x56571))+~P1(f317(f317(f226(a1),x56571),x56572)) % 199.88/200.99 [5659]E(f205(f317(f73(a1),x56591),f317(f73(a1),x56592)),f205(x56591,x56592))+~P1(f317(f317(f226(a1),x56592),f2(a1))) % 199.88/200.99 [5671]E(x56711,x56712)+~E(f317(a3,f317(a102,f317(a20,x56711))),f317(a3,f317(a102,f317(a20,x56712)))) % 199.88/200.99 [5676]E(f42(x56761,x56762),f317(f317(f242(a1,a1),f2(a1)),x56761))+~P1(f317(f317(f225(a1),x56762),f2(a1))) % 199.88/200.99 [5705]E(f40(a898,f317(f94(a898),x57051),f317(f94(a898),x57052)),f2(a898))+~P1(f317(a183,f317(f94(a1),x57051))) % 199.88/200.99 [5719]P1(f317(f317(f225(a1),f2(a1)),f796(x57191)))+~P1(f317(x57191,f317(f90(a1),x57192))) % 199.88/200.99 [5752]P39(f293(a1,x57521,x57522))+~P1(f317(f317(f225(a1),f2(a1)),x57521)) % 199.88/200.99 [5757]~P1(f317(f28(x57571),x57572))+P1(f317(f28(f905(x57571,a894)),f317(f298(x57571),x57572))) % 199.88/200.99 [5770]E(f317(f317(f74(a1),x57701),f317(f90(a1),f809(x57702,x57701))),x57702)+~P1(f317(f317(f225(a1),x57701),x57702)) % 199.88/200.99 [5778]P1(f317(f317(f225(a898),x57781),x57782))+P1(f317(f317(f225(a898),f317(a102,x57782)),x57781)) % 199.88/200.99 [5822]E(f317(f317(f30(a898),f317(f94(a898),x58221)),f317(f94(a898),x58222)),f2(a898))+~P1(f317(a183,f317(f94(a1),x58221))) % 199.88/200.99 [5823]E(f317(f317(f75(a898),f317(f94(a898),x58231)),f317(f94(a898),x58232)),f2(a898))+~P1(f317(f317(f226(a1),x58231),a77)) % 199.88/200.99 [5825]P1(f317(f317(f225(a898),x58251),f317(a102,x58252)))+~P1(f317(f317(f225(a898),x58251),x58252)) % 199.88/200.99 [5827]P1(f317(f317(f226(a898),x58271),f317(a102,x58272)))+~P1(f317(f317(f225(a898),x58271),x58272)) % 199.88/200.99 [5829]P1(f317(f317(f226(a898),x58291),f317(a102,x58292)))+~P1(f317(f317(f226(a898),x58291),x58292)) % 199.88/200.99 [5832]~E(x58321,x58322)+P1(f317(f317(f226(a1),x58321),f317(f317(f74(a1),x58322),f72(a1)))) % 199.88/200.99 [5835]E(f40(a1,x58351,x58352),f2(a1))+E(f317(f317(f23(a1),x58352),f40(a1,x58351,x58352)),f40(a1,f317(f73(a1),x58351),x58352)) % 199.88/200.99 [5844]E(x58441,f103(x58442))+P1(f317(f317(f319(x58442),f134(x58442,x58441)),f317(f162(x58442),x58441))) % 199.88/200.99 [5856]E(f79(f904(a898,a898),f43(x58561,x58562)),f317(f317(f242(a898,a898),f2(a898)),x58561))+~P1(f317(f317(f226(a898),x58561),x58562)) % 199.88/200.99 [5900]E(f317(f317(f23(a898),f317(f94(a898),x59001)),f317(f94(a898),x59002)),f317(f94(a898),x59001))+~P1(f317(f317(f226(a1),x59002),a77)) % 199.88/200.99 [5901]E(f317(f317(f74(a898),f317(f94(a898),x59011)),f317(f94(a898),x59012)),f317(f94(a898),x59012))+~P1(f317(f317(f226(a1),x59011),a77)) % 199.88/200.99 [5908]E(f317(a102,f317(f317(f74(a898),x59081),f377(x59082,x59081))),x59082)+~P1(f317(f317(f226(a898),x59081),x59082)) % 199.88/200.99 [5932]P1(f317(x59321,x59322))+~P1(f317(x59321,f317(a83,f548(x59322,x59321)))) % 199.88/200.99 [5933]P1(f317(x59331,x59332))+~P1(f317(x59331,f317(a3,f797(x59332,x59331)))) % 199.88/200.99 [5942]~P1(f317(f317(f226(a898),x59421),f317(a102,x59422)))+P1(f317(f317(f225(a898),x59421),x59422)) % 199.88/200.99 [5992]E(f317(f317(f299(a898),x59921),f317(f292(a898,x59922),x59921)),f317(f292(a898,x59922),f317(a102,x59921)))+~P1(f317(f317(f225(a898),x59922),x59921)) % 199.88/200.99 [5995]E(x59951,f103(x59952))+E(f317(f317(f124(x59952),f104(x59952,x59951)),f317(f317(f141(x59952),f134(x59952,x59951)),f103(x59952))),x59951) % 199.88/200.99 [6012]P1(f317(f28(x60121),x60122))+~P1(f317(f317(f226(a898),f2(a898)),f317(f29(x60121),x60122))) % 199.88/200.99 [6016]~E(x60161,f178(f905(x60162,a894)))+~P1(f317(f317(f226(a898),f2(a898)),f317(f29(x60162),x60161))) % 199.88/200.99 [6028]~P1(f317(f317(f226(a898),x60281),x60282))+P1(f317(f317(f225(a898),f317(a102,x60281)),x60282)) % 199.88/200.99 [6032]~P108(x60321)+E(f140(x60321,x60321,f5(x60321),f142(x60321,x60322)),f129(x60321,f317(f162(x60321),x60322))) % 199.88/200.99 [6035]E(x60351,f103(x60352))+P1(f317(f317(f319(x60352),f317(f131(x60352),x60351)),f317(f162(x60352),x60351))) % 199.88/200.99 [6041]~P110(x60411)+P1(f317(f317(f226(x60411),x60412),f317(f317(f74(x60411),x60412),f72(x60411)))) % 199.88/200.99 [6043]~P85(x60431)+P1(f317(f317(f225(x60431),f317(f73(x60431),x60432)),f317(f70(x60431),x60432))) % 199.88/200.99 [6057]~E(x60571,x60572)+E(f280(a898,f277(a898),x60571,x60572),f317(f317(f299(a898),x60571),f178(f905(a898,a894)))) % 199.88/200.99 [6075]P1(f317(f28(a898),x60751))+~P1(f317(f317(f225(a898),f599(x60751,x60752)),x60752)) % 199.88/200.99 [6076]P1(f317(f28(a898),x60761))+~P1(f317(f317(f226(a898),f590(x60761,x60762)),x60762)) % 199.88/200.99 [6079]~P1(f317(f28(f904(x60791,x60791)),x60792))+P1(f317(f28(x60791),f317(f271(x60791),x60792))) % 199.88/200.99 [6135]E(f280(a898,f277(a898),x61351,x61352),f178(f905(a898,a894)))+P1(f317(f317(f277(a898),x61351),x61352)) % 199.88/200.99 [6138]~P1(f317(f317(f226(a898),x61382),f317(a102,x61381)))+~P1(f317(f317(f226(a898),x61381),x61382)) % 199.88/200.99 [6139]~P109(x61391)+E(f317(f317(f92(f905(x61391,a894)),f317(f291(x61391),x61392)),f317(f273(x61391),x61392)),f317(f317(f299(x61391),x61392),f178(f905(x61391,a894)))) % 199.88/200.99 [6151]P1(f317(f28(x61511),x61512))+~P1(f317(f28(f905(x61511,a894)),f317(f298(x61511),x61512))) % 199.88/200.99 [6173]P1(f317(f317(f225(a898),f317(a102,x61731)),f317(a102,x61732)))+~P1(f317(f317(f225(a898),x61731),x61732)) % 199.88/200.99 [6174]P1(f317(f317(f225(a898),f317(a20,x61741)),f317(a20,x61742)))+~P1(f317(f317(f225(a89),x61741),x61742)) % 199.88/200.99 [6175]P1(f317(f317(f225(a89),f317(a3,x61751)),f317(a3,x61752)))+~P1(f317(f317(f225(a898),x61751),x61752)) % 199.88/200.99 [6177]P1(f317(f317(f226(a898),f317(a102,x61771)),f317(a102,x61772)))+~P1(f317(f317(f226(a898),x61771),x61772)) % 199.88/200.99 [6178]P1(f317(f317(f226(a898),f317(a20,x61781)),f317(a20,x61782)))+~P1(f317(f317(f226(a89),x61781),x61782)) % 199.88/200.99 [6179]P1(f317(f317(f226(a89),f317(a3,x61791)),f317(a3,x61792)))+~P1(f317(f317(f226(a898),x61791),x61792)) % 199.88/200.99 [6184]E(x61841,x61842)+~E(f317(f300(a898,a1,f90(a1)),x61841),f317(f300(a898,a1,f90(a1)),x61842)) % 199.88/200.99 [6200]P1(f317(f317(f225(a898),x62001),x62002))+~P1(f317(f317(f225(a898),f317(a102,x62001)),x62002)) % 199.88/200.99 [6203]P1(f317(f317(f226(a898),x62031),x62032))+~P1(f317(f317(f225(a898),f317(a102,x62031)),x62032)) % 199.88/200.99 [6204]P1(f317(f317(f226(a898),x62041),x62042))+~P1(f317(f317(f226(a898),f317(a102,x62041)),x62042)) % 199.88/200.99 [6224]E(f40(a1,x62241,x62242),f2(a1))+E(f317(f317(f23(a1),f40(a1,x62241,x62242)),x62242),f40(a1,x62241,f317(f73(a1),x62242))) % 199.88/200.99 [6293]E(f317(f29(f905(x62931,a894)),f317(f298(x62931),x62932)),f317(f317(f234(a898),f317(a102,f317(a102,f2(a898)))),f317(f29(x62931),x62932)))+~P1(f317(f28(x62931),x62932)) % 199.88/200.99 [6296]E(x62961,f103(x62962))+E(f317(f317(f154(x62962),x62961),f317(f317(f23(a898),f317(f179(f899(x62962)),x62961)),f72(a898))),f134(x62962,x62961)) % 199.88/200.99 [6318]E(x63181,f103(x63182))+E(f317(f317(f124(x63182),f317(f161(x63182),x63181)),f317(f317(f141(x63182),f317(f131(x63182),x63181)),f103(x63182))),f317(f157(x63182),x63181)) % 199.88/200.99 [6351]~P1(f317(f28(x63511),f31(f905(x63511,a894),x63512)))+P1(f317(f28(f905(x63511,a894)),x63512)) % 199.88/200.99 [6373]P1(f317(f317(f225(a898),f317(f94(a898),x63731)),f317(f94(a898),x63732)))+~P1(f317(f317(f225(a1),x63731),a77)) % 199.88/200.99 [6397]~P1(f317(f317(f226(a1),x63971),x63972))+P1(f317(f317(f225(a1),x63971),f317(f317(f23(a1),x63972),f72(a1)))) % 199.88/200.99 [6398]~P1(f317(f317(f225(a1),x63981),x63982))+P1(f317(f317(f226(a1),x63981),f317(f317(f74(a1),x63982),f72(a1)))) % 199.88/200.99 [6399]~P1(f317(f317(f226(a1),x63991),x63992))+P1(f317(f317(f226(a1),x63991),f317(f317(f74(a1),x63992),f72(a1)))) % 199.88/200.99 [6401]~P1(f317(f317(f225(a1),x64011),x64012))+P1(f317(f317(f225(a898),f317(f94(a898),x64011)),f317(f94(a898),x64012))) % 199.88/200.99 [6402]~P1(f317(f317(f225(a1),x64021),x64022))+P1(f317(f317(f225(a1),f317(f94(a1),x64021)),f317(f94(a1),x64022))) % 199.88/200.99 [6404]~P1(f317(f317(f225(a898),x64041),x64042))+P1(f317(f317(f225(a1),f317(f90(a1),x64041)),f317(f90(a1),x64042))) % 199.88/200.99 [6405]~P1(f317(f317(f226(a1),x64051),x64052))+P1(f317(f317(f226(a1),f317(f94(a1),x64051)),f317(f94(a1),x64052))) % 199.88/200.99 [6407]~P1(f317(f317(f226(a898),x64071),x64072))+P1(f317(f317(f226(a1),f317(f90(a1),x64071)),f317(f90(a1),x64072))) % 199.88/200.99 [6427]~P1(f317(f317(f225(a898),x64271),x64272))+~P1(f317(f317(f225(a898),f317(a102,x64272)),x64271)) % 199.88/200.99 [6470]~P1(f317(f317(f225(a898),f317(a102,x64701)),f317(a102,x64702)))+P1(f317(f317(f225(a898),x64701),x64702)) % 199.88/200.99 [6471]~P1(f317(f317(f225(a89),f317(a3,x64711)),f317(a3,x64712)))+P1(f317(f317(f225(a898),x64711),x64712)) % 199.88/200.99 [6472]~P1(f317(f317(f225(a898),f317(a20,x64721)),f317(a20,x64722)))+P1(f317(f317(f225(a89),x64721),x64722)) % 199.88/200.99 [6474]~P1(f317(f317(f226(a898),f317(a102,x64741)),f317(a102,x64742)))+P1(f317(f317(f226(a898),x64741),x64742)) % 199.88/200.99 [6475]~P1(f317(f317(f226(a89),f317(a3,x64751)),f317(a3,x64752)))+P1(f317(f317(f226(a898),x64751),x64752)) % 199.88/200.99 [6476]~P1(f317(f317(f226(a898),f317(a95,x64761)),f317(a95,x64762)))+P1(f317(f317(f226(a1),x64761),x64762)) % 199.88/200.99 [6477]~P1(f317(f317(f226(a898),f317(a20,x64771)),f317(a20,x64772)))+P1(f317(f317(f226(a89),x64771),x64772)) % 199.88/200.99 [6519]~P1(f317(f317(f226(a898),f317(a95,x65192)),f317(a95,x65191)))+P1(f317(f317(f226(a1),f2(a1)),x65191)) % 199.88/200.99 [6550]P1(f317(f317(f225(a1),f2(a1)),f40(a1,x65501,x65502)))+~P1(f317(f317(f226(a1),f2(a1)),x65502)) % 199.88/200.99 [6716]P36(x67161,x67162)+~E(f317(f317(f279(x67161,x67161,x67161),x67162),x67162),f178(f905(f904(x67161,x67161),a894))) % 199.88/200.99 [6732]~P36(x67321,x67322)+P36(x67321,f317(f317(f279(x67321,x67321,x67321),x67322),x67322)) % 199.88/200.99 [6743]P1(f317(f317(f225(a1),x67431),x67432))+~P1(f317(f317(f226(a1),x67431),f317(f317(f74(a1),x67432),f72(a1)))) % 199.88/200.99 [6744]P1(f317(f317(f226(a1),x67441),x67442))+~P1(f317(f317(f225(a1),x67441),f317(f317(f23(a1),x67442),f72(a1)))) % 199.88/200.99 [6747]P1(f317(f317(f225(a898),x67471),x67472))+~P1(f317(f317(f225(a1),f317(f90(a1),x67471)),f317(f90(a1),x67472))) % 199.88/200.99 [6748]P1(f317(f317(f225(a1),x67481),x67482))+~P1(f317(f317(f225(a1),f317(f94(a1),x67481)),f317(f94(a1),x67482))) % 199.88/200.99 [6750]P1(f317(f317(f226(a898),x67501),x67502))+~P1(f317(f317(f226(a1),f317(f90(a1),x67501)),f317(f90(a1),x67502))) % 199.88/200.99 [6751]P1(f317(f317(f226(a1),x67511),x67512))+~P1(f317(f317(f226(a898),f317(f94(a898),x67511)),f317(f94(a898),x67512))) % 199.88/200.99 [6752]P1(f317(f317(f226(a1),x67521),x67522))+~P1(f317(f317(f226(a1),f317(f94(a1),x67521)),f317(f94(a1),x67522))) % 199.88/200.99 [6825]~E(f280(a898,f277(a898),x68251,x68252),f178(f905(a898,a894)))+~P1(f317(f317(f277(a898),x68251),x68252)) % 199.88/200.99 [6852]~E(f674(x68522,x68521),f103(x68521))+E(f317(f132(f899(x68521),f899(x68521),f124(x68521),f103(x68521)),x68522),f103(x68521)) % 199.88/200.99 [6853]~E(f675(x68532,x68531),f103(x68531))+E(f317(f132(f899(x68531),f899(x68531),f124(x68531),f103(x68531)),x68532),f103(x68531)) % 199.88/200.99 [6857]~P5(x68571)+E(f317(f132(x68571,x68571,f92(x68571),f232(x68571)),x68572),f32(x68571,f317(f162(x68571),x68572))) % 199.88/200.99 [6858]~P5(x68581)+E(f317(f132(x68581,x68581,f91(x68581),f178(x68581)),x68582),f31(x68581,f317(f162(x68581),x68582))) % 199.88/200.99 [6872]E(x68721,f2(a89))+E(f317(f317(f74(a898),f317(a20,f317(f317(f23(a89),x68721),f72(a89)))),f317(a102,x68722)),f317(f317(f74(a898),f317(a20,x68721)),x68722)) % 199.88/200.99 [6921]P1(f317(f317(f226(a1),f317(f317(f23(a1),x69211),x69212)),f2(a1)))+~P1(f317(f317(f226(a1),x69211),x69212)) % 199.88/200.99 [6946]~P108(x69461)+E(f317(f317(f91(f905(x69461,a894)),f317(f317(f299(x69461),x69462),f178(f905(x69461,a894)))),f317(f294(x69461),x69462)),f317(f273(x69461),x69462)) % 199.88/200.99 [7026]~P59(x70261,x70262)+P36(x70261,f317(f252(f904(x70261,x70261)),f317(f247(x70261,x70261,a894),x70262))) % 199.88/200.99 [7027]~P59(x70271,x70272)+P57(x70271,f317(f252(f904(x70271,x70271)),f317(f247(x70271,x70271,a894),x70272))) % 199.88/200.99 [7028]~P49(x70281,x70282)+P37(x70281,f317(f252(f904(x70281,x70281)),f317(f247(x70281,x70281,a894),x70282))) % 199.88/200.99 [7029]~P50(x70291,x70292)+P51(x70291,f317(f252(f904(x70291,x70291)),f317(f247(x70291,x70291,a894),x70292))) % 199.88/200.99 [7030]E(x70301,f178(f905(x70302,a894)))+~P1(f317(f317(f225(f905(x70302,a894)),x70301),f178(f905(x70302,a894)))) % 199.88/200.99 [7114]~P1(f317(f317(f226(a898),f2(a898)),x71142))+P1(f317(f317(f225(a898),f40(a898,x71141,x71142)),x71142)) % 199.88/200.99 [7115]~P1(f317(f317(f225(a1),f2(a1)),x71151))+P1(f317(f317(f225(a1),f40(a1,x71151,x71152)),x71151)) % 199.88/200.99 [7116]~P1(f317(f317(f226(a898),f2(a898)),x71162))+P1(f317(f317(f226(a898),f40(a898,x71161,x71162)),x71162)) % 199.88/200.99 [7118]~P1(f317(f317(f226(a1),f2(a1)),x71182))+P1(f317(f317(f226(a1),f40(a1,x71181,x71182)),x71182)) % 199.88/200.99 [7194]~P109(x71941)+E(f317(f317(f23(f905(x71941,a894)),f317(f317(f299(x71941),x71942),f178(f905(x71941,a894)))),f317(f272(x71941),x71942)),f317(f317(f299(x71941),x71942),f178(f905(x71941,a894)))) % 199.88/200.99 [7269]~P42(x72691,x72692)+P52(x72691,f232(f905(x72691,a894)),f317(f252(f904(x72691,x72691)),f317(f247(x72691,x72691,a894),x72692))) % 199.88/200.99 [7270]P1(f317(x72701,x72702))+P1(f317(f317(f319(f905(f904(a898,a898),a894)),f548(x72702,x72701)),a88)) % 199.88/200.99 [7313]E(f317(f317(f124(a898),f129(a898,f317(f292(a898,x73131),x73132))),f317(f317(f141(a898),x73132),f103(a898))),f129(a898,f317(f292(a898,x73131),f317(a102,x73132))))+~P1(f317(f317(f225(a898),x73131),x73132)) % 199.88/200.99 [7465]E(x74651,f2(a898))+~E(f317(f132(a898,a898,f74(a898),x74651),x74652),f2(a898)) % 199.88/200.99 [7490]~P1(f317(f317(f226(a1),f317(f317(f23(a1),x74901),x74902)),f2(a1)))+P1(f317(f317(f226(a1),x74901),x74902)) % 199.88/200.99 [7519]P36(x75191,x75192)+~P36(x75191,f317(f317(f279(x75191,x75191,x75191),x75192),x75192)) % 199.88/200.99 [7544]~P1(f317(f317(f225(a898),f317(a102,x75441)),x75442))+P1(f175(a894,a223,f317(f225(a898),x75441),x75442)) % 199.88/200.99 [7699]P24(a898,a898,f317(f317(f7(a898,a898,a898),f23(a898)),x76991),x76992)+P1(f317(f317(f319(a898),f693(x76991,x76992)),x76992)) % 199.88/200.99 [7757]E(f317(f317(f317(f59(a898,x77571,f74(a898)),f317(f16(a898,x77571),f72(a898))),f2(a898)),x77572),f317(f29(x77571),x77572))+~P1(f317(f28(x77571),x77572)) % 199.88/200.99 [7799]P24(a898,a898,f317(f317(f7(a898,a898,a898),f23(a898)),x77991),x77992)+~P1(f317(f317(f225(a898),x77991),f693(x77991,x77992))) % 199.88/200.99 [7855]P36(x78551,x78552)+P1(f317(f317(f225(f905(x78551,a894)),f546(x78552,x78551)),f317(f275(x78551,x78551,x78552),f546(x78552,x78551)))) % 199.88/200.99 [7860]P59(x78601,x78602)+~P36(x78601,f317(f252(f904(x78601,x78601)),f317(f247(x78601,x78601,a894),x78602))) % 199.88/200.99 [7861]P49(x78611,x78612)+~P37(x78611,f317(f252(f904(x78611,x78611)),f317(f247(x78611,x78611,a894),x78612))) % 199.88/200.99 [7862]P50(x78621,x78622)+~P51(x78621,f317(f252(f904(x78621,x78621)),f317(f247(x78621,x78621,a894),x78622))) % 199.88/200.99 [7930]P1(f317(f317(f225(a898),f317(a102,x79301)),x79302))+~P1(f175(a894,a223,f317(f225(a898),x79301),x79302)) % 199.88/200.99 [7987]P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),x79871),x79872)),f297(a898,a307)))+~P1(f317(f317(f225(a898),x79871),x79872)) % 199.88/200.99 [8083]P42(x80831,x80832)+~P52(x80831,f232(f905(x80831,a894)),f317(f252(f904(x80831,x80831)),f317(f247(x80831,x80831,a894),x80832))) % 199.88/200.99 [8138]~P1(f317(f127(x81381),x81382))+P1(f317(f127(f905(x81381,a894)),f317(f317(f144(f899(x81381),f905(x81381,a894)),f162(x81381)),f49(x81381,x81382)))) % 199.88/200.99 [8339]~P36(x83391,f317(f276(x83391,x83391),x83392))+P36(x83391,f317(f276(x83391,x83391),f317(f317(f279(x83391,x83391,x83391),x83392),f297(x83391,x83392)))) % 199.88/200.99 [8351]P149(x83511,f317(f317(f299(a893),f317(a908,x83512)),f178(f905(a893,a894))))+~P149(f317(f317(f299(a893),f317(a908,x83512)),x83511),f317(f317(f299(a893),f909(f222(a895,f33(x83512)))),f178(f905(a893,a894)))) % 199.88/200.99 [8438]P25(x84381,a898,f801(x84382,x84381),x84382,f317(f292(a898,f2(a898)),f317(f29(x84381),x84382)))+~P1(f317(f28(x84381),x84382)) % 199.88/200.99 [8439]P25(a898,x84391,f802(x84392,x84391),f317(f292(a898,f2(a898)),f317(f29(x84391),x84392)),x84392)+~P1(f317(f28(x84391),x84392)) % 199.88/200.99 [8456]P25(a898,x84561,f803(x84562,x84561),f293(a898,f72(a898),f317(f29(x84561),x84562)),x84562)+~P1(f317(f28(x84561),x84562)) % 199.88/200.99 [8466]P1(f317(f28(f904(x84661,x84661)),f317(f317(f279(x84661,x84661,x84661),x84662),f297(x84661,x84662))))+~P1(f317(f28(f904(x84661,x84661)),x84662)) % 199.88/200.99 [8493]E(x84931,f2(a1))+P1(f317(f44(x84932,x84931),f317(f317(f242(a1,a1),f317(f317(f30(a1),x84932),x84931)),f40(a1,x84932,x84931)))) % 199.88/200.99 [8506]~P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),x85061),x85062)),f297(a898,a307)))+P1(f317(f317(f225(a898),x85061),x85062)) % 199.88/200.99 [8523]~P81(x85231)+E(f317(f132(x85231,x85231,f317(f7(x85231,x85231,x85231),f74(x85231)),f2(x85231)),f317(f158(x85231),x85232)),f317(f132(x85231,x85231,f74(x85231),f2(x85231)),x85232)) % 199.88/200.99 [8694]~P108(x86941)+E(f317(f132(f899(x86941),x86941,f317(f7(x86941,f899(x86941),f899(x86941)),f138(x86941,x86941,f5(x86941))),f103(x86941)),x86942),f140(x86941,x86941,f5(x86941),x86942)) % 199.88/200.99 [8805]~P57(x88051,f317(f252(f904(x88051,x88051)),f317(f247(x88051,x88051,a894),x88052)))+P57(x88051,f317(f252(f904(x88051,x88051)),f317(f247(x88051,x88051,a894),f233(x88051,x88051,x88052)))) % 199.88/200.99 [8819]P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),x88191),x88192)),f317(f317(f279(a898,a898,a898),a307),f297(a898,a307))))+~P1(f317(f317(f226(a898),x88191),x88192)) % 199.88/200.99 [8865]~P1(f317(f28(f904(x88651,x88651)),f317(f317(f279(x88651,x88651,x88651),x88652),f297(x88651,x88652))))+P1(f317(f28(f904(x88651,x88651)),x88652)) % 199.88/200.99 [8923]~P57(x89231,f317(f252(f904(x89231,x89231)),f317(f247(x89231,x89231,a894),f233(x89231,x89231,x89232))))+P57(x89231,f317(f252(f904(x89231,x89231)),f317(f247(x89231,x89231,a894),x89232))) % 199.88/200.99 [9121]P57(x91211,x91212)+P1(f317(f317(f319(f904(x91211,x91211)),f317(f317(f242(x91211,x91211),f576(x91212,x91211)),f576(x91212,x91211))),f317(f317(f279(x91211,x91211,x91211),x91212),f297(x91211,x91212)))) % 199.88/200.99 [9122]P57(x91221,x91222)+P1(f317(f317(f319(f904(x91221,x91221)),f317(f317(f242(x91221,x91221),f591(x91222,x91221)),f591(x91222,x91221))),f317(f317(f279(x91221,x91221,x91221),x91222),f297(x91221,x91222)))) % 199.88/200.99 [9240]~P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),x92401),x92402)),f317(f317(f279(a898,a898,a898),a307),f297(a898,a307))))+P1(f317(f317(f226(a898),x92401),x92402)) % 199.88/200.99 [5144]~P93(x51441)+E(f317(f317(f74(x51441),f317(f94(x51441),a77)),x51442),x51442) % 199.88/200.99 [5174]~P68(x51741)+E(f317(f317(f74(x51741),f317(f73(x51741),x51742)),x51742),f2(x51741)) % 199.88/200.99 [5175]~P76(x51751)+E(f317(f317(f74(x51751),f317(f73(x51751),x51752)),x51752),f2(x51751)) % 199.88/200.99 [5176]~P96(x51761)+E(f317(f317(f91(x51761),f317(f73(x51761),x51762)),x51762),f232(x51761)) % 199.88/200.99 [5177]~P96(x51771)+E(f317(f317(f92(x51771),f317(f73(x51771),x51772)),x51772),f178(x51771)) % 199.88/200.99 [5210]~P93(x52101)+E(f317(f317(f75(x52101),f317(f94(x52101),a87)),x52102),f317(f73(x52101),x52102)) % 199.88/200.99 [5367]~P114(x53671)+E(f317(f317(f75(x53671),f317(f73(x53671),f72(x53671))),x53672),f317(f73(x53671),x53672)) % 199.88/200.99 [5413]E(f317(f70(a1),x54131),f72(a1))+~E(f317(f70(a1),f317(f317(f75(a1),x54131),x54132)),f72(a1)) % 199.88/200.99 [5505]~P93(x55051)+E(f317(f317(f74(x55051),f72(x55051)),f317(f94(x55051),x55052)),f317(f94(x55051),f317(f317(f23(a1),x55052),a87))) % 199.88/200.99 [5558]~P108(x55581)+E(f14(x55581,f317(f317(f299(x55581),x55582),f178(f905(x55581,a894)))),x55582) % 199.88/200.99 [5559]~P108(x55591)+E(f15(x55591,f317(f317(f299(x55591),x55592),f178(f905(x55591,a894)))),x55592) % 199.88/200.99 [5560]~P98(x55601)+E(f13(x55601,f317(f317(f299(x55601),x55602),f178(f905(x55601,a894)))),x55602) % 199.88/200.99 [5561]~P98(x55611)+E(f10(x55611,f317(f317(f299(x55611),x55612),f178(f905(x55611,a894)))),x55612) % 199.88/200.99 [5562]~P5(x55621)+E(f32(x55621,f317(f317(f299(x55621),x55622),f178(f905(x55621,a894)))),x55622) % 199.88/200.99 [5563]~P5(x55631)+E(f31(x55631,f317(f317(f299(x55631),x55632),f178(f905(x55631,a894)))),x55632) % 199.88/200.99 [5585]E(f317(f317(f74(a898),x55851),f317(f317(f23(a898),x55852),x55851)),x55852)+P1(f317(f317(f226(a898),x55852),x55851)) % 199.88/200.99 [5623]E(x56231,f103(x56232))+P1(f317(f317(f226(a898),f2(a898)),f317(f179(f899(x56232)),x56231))) % 199.88/200.99 [5749]~P108(x57491)+E(f11(x57491,f229(x57491),f317(f317(f299(x57491),x57492),f178(f905(x57491,a894)))),x57492) % 199.88/200.99 [5750]~P108(x57501)+E(f12(x57501,f224(x57501),f317(f317(f299(x57501),x57502),f178(f905(x57501,a894)))),x57502) % 199.88/200.99 [5811]E(f317(f317(f23(a898),x58111),f317(f317(f23(a898),x58111),x58112)),x58112)+~P1(f317(f317(f225(a898),x58112),x58111)) % 199.88/200.99 [5812]E(f317(f317(f74(a898),x58121),f317(f317(f23(a898),x58122),x58121)),x58122)+~P1(f317(f317(f225(a898),x58121),x58122)) % 199.88/200.99 [5834]E(f40(a898,f317(f317(f23(a898),x58341),x58342),x58342),f40(a898,x58341,x58342))+P1(f317(f317(f226(a898),x58341),x58342)) % 199.88/200.99 [5845]E(f317(f73(a1),f317(f317(f30(a1),x58451),f317(f73(a1),x58452))),f283(x58451,x58452))+P1(f317(f317(f225(a1),f2(a1)),x58452)) % 199.88/200.99 [5847]~E(x58472,f2(a898))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f234(a898),x58471),x58472))) % 199.88/200.99 [5910]~P93(x59101)+E(f317(f317(f74(x59101),f317(f73(x59101),f72(x59101))),f317(f94(x59101),x59102)),f317(f94(x59101),f317(f317(f74(a1),x59102),a87))) % 199.88/200.99 [5912]E(f317(f317(f234(a898),f317(f94(a898),x59121)),x59122),f317(f317(f234(a898),f2(a898)),x59122))+~P1(f317(a183,f317(f94(a1),x59121))) % 199.88/200.99 [6020]E(f317(f131(a898),f129(a898,f317(f292(a898,x60201),x60202))),x60201)+~P1(f317(f317(f226(a898),x60201),x60202)) % 199.88/200.99 [6036]E(f317(f317(f75(a898),f317(f94(a898),x60361)),f317(f94(a898),x60362)),f317(f94(a898),f317(f317(f75(a1),x60361),x60362)))+P1(f317(f317(f226(a1),x60361),a77)) % 199.88/200.99 [6042]~P126(x60421)+P1(f317(f317(f225(x60421),f2(x60421)),f317(f317(f75(x60421),x60422),x60422))) % 199.88/200.99 [6054]E(f317(f317(f23(a898),f317(a102,x60541)),x60542),f317(a102,f317(f317(f23(a898),x60541),x60542)))+~P1(f317(f317(f225(a898),x60542),x60541)) % 199.88/200.99 [6058]E(f40(a898,f317(f317(f23(a898),x60581),x60582),x60582),f40(a898,x60581,x60582))+~P1(f317(f317(f225(a898),x60582),x60581)) % 199.88/200.99 [6112]E(f317(f317(f234(a898),f317(a95,x61121)),x61122),f317(a95,f317(f317(f234(a1),x61121),x61122)))+~P1(f317(f317(f225(a1),f2(a1)),x61121)) % 199.88/200.99 [6130]P1(f317(f127(x61301),x61302))+P1(f317(f317(f226(a898),f644(x61302,x61301)),f317(f179(f899(x61301)),x61302))) % 199.88/200.99 [6131]P1(f317(f127(x61311),x61312))+P1(f317(f317(f226(a898),f648(x61312,x61311)),f317(f179(f899(x61311)),x61312))) % 199.88/200.99 [6145]~E(x61451,f103(x61452))+~P1(f317(f317(f226(a898),f2(a898)),f317(f179(f899(x61452)),x61451))) % 199.88/200.99 [6156]E(f134(a898,f129(a898,f317(f292(a898,x61561),x61562))),f317(f317(f23(a898),x61562),f72(a898)))+~P1(f317(f317(f226(a898),x61561),x61562)) % 199.88/200.99 [6159]E(f317(f317(f74(a1),x61591),f317(f90(a1),f317(a102,f820(x61592,x61591)))),x61592)+~P1(f317(f317(f226(a1),x61591),x61592)) % 199.88/200.99 [6166]E(x61661,f2(a898))+E(f317(f317(f75(a898),x61662),f317(f317(f234(a898),x61662),f317(f317(f23(a898),x61661),f72(a898)))),f317(f317(f234(a898),x61662),x61661)) % 199.88/200.99 [6194]E(f317(f317(f75(a898),f317(a95,x61941)),f317(a95,x61942)),f317(a95,f317(f317(f75(a1),x61941),x61942)))+~P1(f317(f317(f225(a1),f2(a1)),x61941)) % 199.88/200.99 [6195]E(f317(f317(f30(a898),f317(a95,x61951)),f317(a95,x61952)),f317(a95,f317(f317(f30(a1),x61951),x61952)))+~P1(f317(f317(f225(a1),f2(a1)),x61951)) % 199.88/200.99 [6210]~P112(x62101)+E(f317(f317(f74(x62101),x62102),x62102),f317(f317(f75(x62101),f317(f317(f74(x62101),f72(x62101)),f72(x62101))),x62102)) % 199.88/200.99 [6233]E(f317(f317(f23(a1),f317(f90(a1),x62331)),f317(f90(a1),x62332)),f317(f90(a1),f317(f317(f23(a898),x62331),x62332)))+~P1(f317(f317(f225(a898),x62332),x62331)) % 199.88/200.99 [6235]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x62351),x62352)),f45(x62351,x62352))+~P1(f317(f317(f225(a1),x62352),f2(a1))) % 199.88/200.99 [6269]E(f169(x62691,x62692),f103(f899(x62691)))+P1(f317(f317(f319(f899(x62691)),f643(x62692,x62691)),f317(f162(f899(x62691)),x62692))) % 199.88/200.99 [6280]E(f106(a1,f317(f119(a1),x62801),f118(x62802,f317(f317(f74(a1),x62801),f72(a1)))),f118(x62802,x62801))+P1(f317(f317(f226(a1),x62802),x62801)) % 199.88/200.99 [6335]~P1(f317(f317(f277(a898),x63351),x63352))+P1(f317(f317(f277(a898),x63351),f317(f317(f74(a898),x63352),x63351))) % 199.88/200.99 [6357]E(f317(f317(f141(a1),x63571),f168(f317(f317(f74(a1),x63571),f72(a1)),x63572)),f168(x63571,x63572))+~P1(f317(f317(f225(a1),x63571),x63572)) % 199.88/200.99 [6379]P149(x63791,x63792)+~P1(f317(f317(f225(f905(a893,a894)),x63792),x63791)) % 199.88/200.99 [6400]~P1(f317(f317(f226(a898),x64002),x64001))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f23(a898),x64001),x64002))) % 199.88/200.99 [6432]~P1(f317(f317(f226(a898),x64321),f317(a95,x64322)))+P1(f317(f317(f226(a1),f317(f90(a1),x64321)),x64322)) % 199.88/200.99 [6461]~P108(x64611)+E(f317(f317(f91(f905(x64611,a894)),f317(f272(x64611),x64612)),f317(f317(f299(x64611),x64612),f178(f905(x64611,a894)))),f317(f291(x64611),x64612)) % 199.88/200.99 [6462]~P1(f317(f317(f225(a1),f2(a1)),x64621))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),x64621),x64622))) % 199.88/200.99 [6465]~P1(f317(f317(f226(a898),f2(a898)),x64651))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f234(a898),x64651),x64652))) % 199.88/200.99 [6492]~E(f317(x64921,f2(a898)),f2(a898))+E(f317(f317(f6(a898,a898),x64921),f293(a898,f317(a102,f2(a898)),x64922)),f317(f317(f6(a898,a898),x64921),f293(a898,f2(a898),x64922))) % 199.88/200.99 [6558]~P93(x65581)+E(f317(f317(f75(x65581),f317(f317(f74(x65581),f72(x65581)),f72(x65581))),f317(f94(x65581),x65582)),f317(f94(x65581),f317(f317(f74(a1),x65582),x65582))) % 199.88/200.99 [6578]E(f317(f317(f299(a1),x65781),f293(a1,f317(f317(f74(a1),x65781),f72(a1)),x65782)),f293(a1,x65781,x65782))+P1(f317(f317(f226(a1),x65782),x65781)) % 199.88/200.99 [6579]P1(f317(f317(f226(a898),x65791),f317(a95,x65792)))+~P1(f317(f317(f226(a1),f317(f90(a1),x65791)),x65792)) % 199.88/200.99 [6679]P1(f317(f317(f277(a898),x66791),x66792))+~P1(f317(f317(f277(a898),x66791),f317(f317(f74(a898),x66792),x66791))) % 199.88/200.99 [6685]E(f317(a95,f317(f317(f30(a1),f317(f94(a1),x66851)),f317(f94(a1),x66852))),f317(f317(f30(a898),f317(f94(a898),x66851)),f317(f94(a898),x66852)))+P1(f317(a183,f317(f94(a1),x66851))) % 199.88/200.99 [6745]P1(f317(f317(f226(a898),x67451),x67452))+~P1(f317(f317(f226(a898),f2(a898)),f317(f317(f23(a898),x67452),x67451))) % 199.88/200.99 [6788]P1(f317(f317(f226(a898),f2(a898)),x67881))+~P1(f317(f317(f226(a898),f2(a898)),f317(f317(f75(a898),x67882),x67881))) % 199.88/200.99 [6789]P1(f317(f317(f226(a898),f2(a898)),x67891))+~P1(f317(f317(f226(a898),f2(a898)),f317(f317(f75(a898),x67891),x67892))) % 199.88/200.99 [6808]~P1(f317(f317(f225(a1),x68081),f2(a1)))+E(f317(f317(f75(a898),f317(a95,f317(f73(a1),x68081))),f317(a95,f317(f73(a1),x68082))),f317(a95,f317(f317(f75(a1),x68081),x68082))) % 199.88/200.99 [6869]~E(x68692,f178(f905(x68691,a894)))+P1(f317(f317(f225(f905(x68691,a894)),x68692),f317(f73(f905(x68691,a894)),x68692))) % 199.88/200.99 [6931]~P93(x69311)+E(f317(f317(f74(x69311),f317(f317(f74(x69311),f2(x69311)),f317(f94(x69311),x69312))),f317(f94(x69311),x69312)),f317(f94(x69311),f317(f317(f74(a1),x69312),x69312))) % 199.88/200.99 [6987]~P1(f317(f317(f226(a1),x69871),x69872))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x69871),f72(a1))),x69872)) % 199.88/200.99 [7059]E(x70591,f2(a898))+~P1(f317(f317(f225(a1),f317(f90(a1),x70592)),f317(f73(a1),f317(f90(a1),x70591)))) % 199.88/200.99 [7060]E(x70601,f2(a898))+~P1(f317(f317(f225(a1),f317(f90(a1),x70601)),f317(f73(a1),f317(f90(a1),x70602)))) % 199.88/200.99 [7162]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x71621),x71622)),f45(x71621,x71622))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),x71621),x71622))) % 199.88/200.99 [7206]~P26(x72061,x72062)+P36(x72061,f317(f241(f905(f904(x72061,x72061),a894),f905(f904(x72061,x72061),a894)),x72062)) % 199.88/200.99 [7225]~P1(f317(f317(f225(a898),f317(a102,f2(a898))),x72251))+P1(f317(f317(f225(a898),f317(a102,f2(a898))),f317(f317(f234(a898),x72251),x72252))) % 199.88/200.99 [7403]~P1(f317(f317(f225(a1),x74031),x74032))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74031),x74031)),f317(f317(f74(a1),x74032),x74032))) % 199.88/200.99 [7408]~P1(f317(f317(f226(a1),x74081),x74082))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x74081),x74081)),f317(f317(f74(a1),x74082),x74082))) % 199.88/200.99 [7466]~P1(f317(f317(f226(a898),f2(a898)),x74661))+P1(f317(f317(f226(a898),f317(f317(f23(a898),x74661),f317(a102,x74662))),x74661)) % 199.88/200.99 [7501]P1(f317(f317(f225(a898),f317(a102,f2(a898))),x75011))+~P1(f317(f317(f225(a898),f317(a102,f2(a898))),f317(f317(f75(a898),x75012),x75011))) % 199.88/200.99 [7502]P1(f317(f317(f225(a898),f317(a102,f2(a898))),x75021))+~P1(f317(f317(f225(a898),f317(a102,f2(a898))),f317(f317(f75(a898),x75021),x75022))) % 199.88/200.99 [7506]P1(f317(f317(f225(a898),f317(f317(f154(a898),x75061),x75062)),f317(f155(a898),x75061)))+~P1(f317(f317(f226(a898),x75062),f317(f179(f899(a898)),x75061))) % 199.88/200.99 [7543]P1(f317(f317(f226(a1),x75431),x75432))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x75431),f72(a1))),x75432)) % 199.88/200.99 [7584]P1(f317(f28(x75841),f232(f905(x75841,a894))))+~P1(f317(f28(f905(x75842,x75841)),f232(f905(f905(x75842,x75841),a894)))) % 199.88/200.99 [7585]P1(f317(f28(x75851),f232(f905(x75851,a894))))+~P1(f317(f28(f903(x75852,x75851)),f232(f905(f903(x75852,x75851),a894)))) % 199.88/200.99 [7586]P1(f317(f28(x75861),f232(f905(x75861,a894))))+~P1(f317(f28(f903(x75861,x75862)),f232(f905(f903(x75861,x75862),a894)))) % 199.88/200.99 [7626]E(x76261,f178(f905(x76262,a894)))+~P1(f317(f317(f225(f905(x76262,a894)),x76261),f317(f73(f905(x76262,a894)),x76261))) % 199.88/200.99 [7767]E(f317(f132(f899(x77671),f899(x77671),f124(x77671),f103(x77671)),x77672),f103(x77671))+P1(f317(f317(f319(f899(x77671)),f674(x77672,x77671)),f317(f162(f899(x77671)),x77672))) % 199.88/200.99 [7768]E(f317(f132(f899(x77681),f899(x77681),f124(x77681),f103(x77681)),x77682),f103(x77681))+P1(f317(f317(f319(f899(x77681)),f675(x77682,x77681)),f317(f162(f899(x77681)),x77682))) % 199.88/200.99 [8005]P1(f317(f317(f225(a1),x80051),x80052))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x80051),x80051)),f317(f317(f74(a1),x80052),x80052))) % 199.88/200.99 [8010]P1(f317(f317(f226(a1),x80101),x80102))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),x80101),x80101)),f317(f317(f74(a1),x80102),x80102))) % 199.88/200.99 [8103]~P112(x81031)+E(f317(f317(f75(x81031),f317(f317(f74(x81031),f72(x81031)),f72(x81031))),f317(f317(f6(a898,x81031),f90(x81031)),f293(a898,f72(a898),x81032))),f317(f317(f75(x81031),f317(f90(x81031),x81032)),f317(f317(f74(x81031),f317(f90(x81031),x81032)),f72(x81031)))) % 199.88/200.99 [8152]P1(f317(f317(f319(a898),x81521),x81522))+~P1(f317(f317(f319(a1),f317(f90(a1),x81521)),f317(f300(a898,a1,f90(a1)),x81522))) % 199.88/200.99 [8311]~P1(f317(f28(x83111),x83112))+E(f317(f300(a898,x83111,f522(x83112,x83111)),f317(f252(a898),f317(f317(f7(a898,a898,a894),f226(a898)),f523(x83112,x83111)))),x83112) % 199.88/200.99 [8591]P53(x85911,x85912)+P1(f317(f317(f319(f904(x85911,x85911)),f317(f317(f242(x85911,x85911),f341(x85912,x85911)),f341(x85912,x85911))),x85912)) % 199.88/200.99 [8592]P37(x85921,x85922)+P1(f317(f317(f319(f904(x85921,x85921)),f317(f317(f242(x85921,x85921),f765(x85922,x85921)),f770(x85922,x85921))),x85922)) % 199.88/200.99 [8593]P37(x85931,x85932)+P1(f317(f317(f319(f904(x85931,x85931)),f317(f317(f242(x85931,x85931),f770(x85932,x85931)),f771(x85932,x85931))),x85932)) % 199.88/200.99 [8594]P38(x85941,x85942)+P1(f317(f317(f319(f904(x85941,x85941)),f317(f317(f242(x85941,x85941),f684(x85942,x85941)),f683(x85942,x85941))),x85942)) % 199.88/200.99 [8595]P38(x85951,x85952)+P1(f317(f317(f319(f904(x85951,x85951)),f317(f317(f242(x85951,x85951),f683(x85952,x85951)),f684(x85952,x85951))),x85952)) % 199.88/200.99 [8596]P51(x85961,x85962)+P1(f317(f317(f319(f904(x85961,x85961)),f317(f317(f242(x85961,x85961),f781(x85962,x85961)),f782(x85962,x85961))),x85962)) % 199.88/200.99 [8737]~P93(x87371)+E(f317(f317(f23(x87371),f72(x87371)),f317(f94(x87371),x87372)),f317(f94(x87371),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x87372)))) % 199.88/200.99 [8862]~P1(f317(f317(f226(f905(a898,a894)),x88621),x88622))+P1(f317(f317(f226(f905(a1,a894)),f317(f300(a898,a1,f90(a1)),x88621)),f317(f300(a898,a1,f90(a1)),x88622))) % 199.88/200.99 [8896]~P1(f317(f317(f226(a1),x88961),x88962))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88961),x88961)),a87)),f317(f317(f74(a1),x88962),x88962))) % 199.88/200.99 [8898]~P1(f317(f317(f226(a1),x88981),x88982))+P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88981),x88981)),a87)),f317(f317(f74(a1),x88982),x88982))) % 199.88/200.99 [8971]~P1(f317(f317(f319(a898),x89711),f317(f162(a898),x89712)))+P1(f317(f317(f225(a898),x89711),f317(f132(a898,a898,f74(a898),f2(a898)),x89712))) % 199.88/200.99 [9060]P45(x90601,x90602)+~P1(f317(f317(f319(f904(x90601,x90601)),f317(f317(f242(x90601,x90601),f881(x90602,x90601)),f881(x90602,x90601))),x90602)) % 199.88/200.99 [9061]P37(x90611,x90612)+~P1(f317(f317(f319(f904(x90611,x90611)),f317(f317(f242(x90611,x90611),f765(x90612,x90611)),f771(x90612,x90611))),x90612)) % 199.88/200.99 [9062]P51(x90621,x90622)+~P1(f317(f317(f319(f904(x90621,x90621)),f317(f317(f242(x90621,x90621),f782(x90622,x90621)),f781(x90622,x90621))),x90622)) % 199.88/200.99 [9203]~P1(f317(f317(f225(f905(a1,a894)),f317(f300(a898,a1,f90(a1)),x92031)),f317(f300(a898,a1,f90(a1)),x92032)))+P1(f317(f317(f225(f905(a898,a894)),x92031),x92032)) % 199.88/200.99 [9204]~P1(f317(f317(f226(f905(a1,a894)),f317(f300(a898,a1,f90(a1)),x92041)),f317(f300(a898,a1,f90(a1)),x92042)))+P1(f317(f317(f226(f905(a898,a894)),x92041),x92042)) % 199.88/200.99 [9289]P1(f317(f317(f226(a1),x92891),x92892))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92891),x92891)),a87)),f317(f317(f74(a1),x92892),x92892))) % 199.88/200.99 [9291]P1(f317(f317(f226(a1),x92911),x92912))+~P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92911),x92911)),a87)),f317(f317(f74(a1),x92912),x92912))) % 199.88/200.99 [10188]~P105(x101881)+E(f106(f899(x101881),f317(f119(f899(x101881)),f103(x101881)),f317(f317(f317(f86(f900(f899(x101881))),f317(f317(f226(a1),f2(a1)),x101882)),f317(f108(f904(x101881,f899(x101881)),f899(x101881),f121(x101881,f899(x101881),f122(x101881,f317(f317(f23(a1),x101882),f72(a1))),f122(f899(x101881),f317(f317(f23(a1),x101882),f72(a1))))),f317(f247(x101881,f899(x101881),f900(f899(x101881))),f317(f317(f8(f905(f899(x101881),f899(x101881)),f905(f899(x101881),f900(f899(x101881))),x101881),f317(f8(f899(x101881),f900(f899(x101881)),f899(x101881)),f119(f899(x101881)))),f141(x101881))))),f105(f899(x101881)))),f122(f899(x101881),x101882)) % 199.88/200.99 [10210]~P1(f317(f28(x102101),x102102))+E(f317(f179(f899(x102101)),f84(f899(x102101),f317(f317(f18(f899(x102101),a894,a894),f317(f317(f8(a894,f905(a894,a894),f899(x102101)),a315),f317(f317(f7(f899(x102101),f905(x102101,a894),a894),f317(f317(f8(f905(x102101,a894),f905(f905(x102101,a894),a894),f899(x102101)),a314),f162(x102101))),x102102))),f127(x102101)))),f204(x102101,x102102)) % 199.88/200.99 [6155]E(f317(f317(f74(a898),f317(f317(f23(a898),x61551),x61552)),x61552),x61551)+~P1(f317(f317(f225(a898),x61552),x61551)) % 199.88/200.99 [6229]E(f317(f317(f30(a898),f317(f317(f75(a898),x62291),x62292)),x62292),x62291)+~P1(f317(f317(f226(a898),f2(a898)),x62292)) % 199.88/200.99 [6230]E(f317(f317(f30(a898),f317(f317(f75(a898),x62301),x62302)),x62301),x62302)+~P1(f317(f317(f226(a898),f2(a898)),x62301)) % 199.88/200.99 [6234]~P77(x62341)+E(f317(f317(f6(a898,x62341),f317(f154(x62341),x62342)),f317(f292(a898,f2(a898)),f317(f179(f899(x62341)),x62342))),f317(f155(x62341),x62342)) % 199.88/200.99 [6349]E(f40(a898,f317(a102,f317(f317(f75(a898),x63491),x63492)),x63491),f72(a898))+~P1(f317(f317(f226(a898),f72(a898)),x63491)) % 199.88/200.99 [6355]E(f317(a102,f317(f317(f74(a898),f317(f94(a898),x63551)),x63552)),f317(f317(f74(a898),f72(a898)),x63552))+~P1(f317(a183,f317(f94(a1),x63551))) % 199.88/200.99 [6385]E(f317(a95,f317(f317(f234(a1),f317(f94(a1),x63851)),x63852)),f317(f317(f234(a898),f317(f94(a898),x63851)),x63852))+P1(f317(a183,f317(f94(a1),x63851))) % 199.88/200.99 [6633]E(f317(f317(f23(a898),x66331),f317(f94(a898),f317(f317(f74(a1),x66332),a87))),f317(f317(f23(a898),f317(a102,x66331)),f317(f94(a898),x66332)))+~P1(f317(f317(f226(a1),a77),x66332)) % 199.88/200.99 [6715]E(x67151,f2(a898))+E(f317(a102,f317(f317(f74(a898),f317(f317(f23(a898),x67151),f72(a898))),x67152)),f317(f317(f74(a898),x67151),x67152)) % 199.88/200.99 [6758]E(x67581,f2(a1))+P1(f317(f317(f226(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67581)),x67582))) % 199.88/200.99 [6773]~E(x67732,f2(a898))+P1(f317(f317(f226(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67731)),x67732))) % 199.88/200.99 [6811]E(x68111,f2(a898))+E(f317(f317(f74(a898),x68112),f317(f317(f75(a898),f317(f317(f23(a898),x68111),f72(a898))),x68112)),f317(f317(f75(a898),x68111),x68112)) % 199.88/200.99 [6862]~P1(f317(f317(f225(a1),x68621),x68622))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x68621),a87)),x68622)) % 199.88/200.99 [6991]E(f317(f317(f141(a898),x69911),f129(a898,f317(f292(a898,f317(a102,x69911)),x69912))),f129(a898,f317(f292(a898,x69911),x69912)))+~P1(f317(f317(f226(a898),x69911),x69912)) % 199.88/200.99 [7197]E(x71971,x71972)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x71971),x71971)),a87),f317(f317(f23(a1),f317(f317(f74(a1),x71972),x71972)),a87)) % 199.88/200.99 [7200]E(x72001,f103(x72002))+E(f256(x72002,f317(f317(f144(x72002,f904(a89,x72002)),f317(f242(a89,x72002),f72(a89))),x72001)),f265(x72002,x72001)) % 199.88/200.99 [7436]P1(f317(f317(f225(a1),x74361),x74362))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),x74361),a87)),x74362)) % 199.88/200.99 [7909]~P1(f317(f317(f226(a898),x79091),x79092))+P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),x79091),x79092)),a230)) % 199.88/200.99 [8129]~P1(f317(f317(f226(a89),f2(a89)),x81291))+P1(f317(f317(f226(a89),f317(f241(a89,f904(a89,a89)),f317(f257(x81291),x81292))),x81291)) % 199.88/200.99 [8393]~P37(x83931,x83932)+P37(x83931,f317(f317(f91(f905(f904(x83931,x83931),a894)),x83932),f297(x83931,f178(f905(f904(x83931,x83931),a894))))) % 199.88/200.99 [8394]~P38(x83941,x83942)+P38(x83941,f317(f317(f91(f905(f904(x83941,x83941),a894)),x83942),f297(x83941,f178(f905(f904(x83941,x83941),a894))))) % 199.88/200.99 [8442]~P85(x84421)+P1(f317(f317(f225(x84421),f317(f70(x84421),f317(f155(x84421),x84422))),f317(f155(x84421),f317(f317(f144(x84421,x84421),f70(x84421)),x84422)))) % 199.88/200.99 [8468]P1(f317(f317(f226(a898),x84681),x84682))+~P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),x84681),x84682)),a230)) % 199.88/200.99 [8615]E(f317(f317(f242(x86151,x86151),f604(x86152,x86151)),f604(x86152,x86151)),x86152)+~P1(f317(f317(f319(f904(x86151,x86151)),x86152),f297(x86151,f178(f905(f904(x86151,x86151),a894))))) % 199.88/200.99 [8659]E(f317(f292(a898,x86591),f317(f317(f74(a898),x86591),f317(f29(a898),x86592))),x86592)+~P1(f317(f317(f225(f905(a898,a894)),x86592),f317(f292(a898,x86591),f317(f317(f74(a898),x86591),f317(f29(a898),x86592))))) % 199.88/200.99 [8889]P38(x88891,x88892)+~P38(x88891,f317(f317(f91(f905(f904(x88891,x88891),a894)),x88892),f297(x88891,f178(f905(f904(x88891,x88891),a894))))) % 199.88/200.99 [9015]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x90151),x90151)),a87))),f317(f94(a1),f317(f317(f74(a1),x90152),x90152))),f317(f317(f30(a1),f317(f94(a1),x90151)),f317(f94(a1),x90152)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x90152))) % 199.88/200.99 [9105]~P37(x91051,x91052)+P1(f317(f317(f225(f905(f904(x91051,x91051),a894)),f317(f317(f279(x91051,x91051,x91051),x91052),x91052)),x91052)) % 199.88/200.99 [9132]E(f167(f899(x91321),f317(f317(f8(a894,a894,f899(x91321)),a312),f317(f317(f7(f899(x91321),f899(x91321),a894),a314),f103(x91321))),x91322),f169(x91321,f169(x91321,x91322)))+~P13(a898,f317(f158(a898),f317(f317(f144(f899(x91321),a898),f179(f899(x91321))),x91322))) % 199.88/200.99 [9135]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91351),x91351)),a87))),f317(f94(a1),f317(f317(f74(a1),x91352),x91352))),f317(f317(f30(a1),f317(f317(f74(a1),f317(f94(a1),x91351)),f72(a1))),f317(f94(a1),x91352)))+P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x91352))) % 199.88/200.99 [9985]P1(f317(a183,x99852))+E(f317(f317(f80(a1,a898),f317(f317(f23(a1),x99851),x99852)),f317(f317(f18(a1,a898,a898),f317(f317(f7(a1,a898,f905(a898,a898)),f317(f317(f8(a894,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),a95)),f317(f317(f23(a898),f317(a95,x99851)),f317(a95,x99852))) % 199.88/200.99 [9993]E(f317(f317(f80(a1,a898),f317(f94(a1),f317(f317(f74(a1),x99931),f317(f73(a1),x99932)))),f317(f317(f18(a1,a898,a898),f317(f317(f7(a1,a898,f905(a898,a898)),f317(f317(f8(a894,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),a95)),f317(f317(f23(a898),f317(f94(a898),x99931)),f317(f94(a898),x99932)))+P1(f317(f317(f226(a1),x99932),a77)) % 199.88/200.99 [9994]~P26(x99941,x99942)+P1(f317(f317(f225(f905(f904(x99941,x99941),a894)),f317(f317(f279(x99941,x99941,x99941),f317(f241(f905(f904(x99941,x99941),a894),f905(f904(x99941,x99941),a894)),x99942)),f317(f246(f905(f904(x99941,x99941),a894),f905(f904(x99941,x99941),a894)),x99942))),f317(f241(f905(f904(x99941,x99941),a894),f905(f904(x99941,x99941),a894)),x99942))) % 199.88/200.99 [10049]~E(f317(f29(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,f905(a898,a894),a894),f319(a898)),x100491))),f317(f317(f7(a898,a898,a894),f226(a898)),f317(a102,x100492))))),f2(a898))+~P1(f317(f317(f319(a898),f2(a898)),x100491)) % 199.88/200.99 [10060]E(f289(a898,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x100601,x100602),f178(f905(a898,a894)))+~P1(f317(f317(f277(a898),x100602),x100601)) % 199.88/200.99 [10065]E(f287(a898,f277(a898),f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x100651,x100652),f178(f905(a898,a894)))+P1(f317(f317(f277(a898),x100651),x100652)) % 199.88/200.99 [10066]E(f290(a898,f277(a898),f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x100661,x100662),f178(f905(a898,a894)))+P1(f317(f317(f277(a898),x100661),x100662)) % 199.88/200.99 [10070]E(f287(a898,f277(a898),f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x100701,x100702),f178(f905(a898,a894)))+~P1(f317(f317(f277(a898),x100702),x100701)) % 199.88/200.99 [10072]E(f290(a898,f277(a898),f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x100721,x100722),f178(f905(a898,a894)))+~P1(f317(f317(f277(a898),x100722),x100721)) % 199.88/200.99 [10115]E(f40(a1,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x101151),x101151)),a87)),f317(f94(a1),f317(f317(f74(a1),x101152),x101152))),f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f94(a1),x101151),f317(f94(a1),x101152)))),f72(a1)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x101152))) % 199.88/200.99 [10124]E(f40(a1,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x101241),x101241)),a87)),f317(f94(a1),f317(f317(f74(a1),x101242),x101242))),f317(f317(f23(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f317(f74(a1),f317(f94(a1),x101241)),f72(a1)),f317(f94(a1),x101242)))),f72(a1)))+P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x101242))) % 199.88/200.99 [10179]~P5(x101791)+E(f31(x101791,f317(f252(x101791),f317(f317(f8(f905(x101791,a894),a894,x101791),f82(x101791)),f317(f317(f8(f905(x101791,a894),f905(x101791,a894),x101791),f317(f18(x101791,a894,a894),f317(f317(f8(a894,f905(a894,a894),x101791),a320),f317(f317(f7(x101791,f905(x101791,a894),a894),f319(x101791)),x101792)))),f225(x101791))))),f32(x101791,x101792)) % 199.88/200.99 [10203]~P36(x102031,x102032)+P59(x102031,f317(f317(f7(x102031,f905(f904(x102031,x102031),a894),f905(x102031,a894)),f317(f317(f8(f905(x102031,f905(f905(f904(x102031,x102031),a894),a894)),f905(f905(f904(x102031,x102031),a894),f905(x102031,a894)),x102031),f7(x102031,f905(f904(x102031,x102031),a894),a894)),f317(f317(f8(f905(x102031,f904(x102031,x102031)),f905(x102031,f905(f905(f904(x102031,x102031),a894),a894)),x102031),f317(f8(f904(x102031,x102031),f905(f905(f904(x102031,x102031),a894),a894),x102031),f319(f904(x102031,x102031)))),f242(x102031,x102031)))),x102032)) % 199.88/200.99 [10204]~P8(x102041,f232(f905(x102041,a894)),x102042)+P7(x102041,f317(f317(f7(x102041,f905(f904(x102041,x102041),a894),f905(x102041,a894)),f317(f317(f8(f905(x102041,f905(f905(f904(x102041,x102041),a894),a894)),f905(f905(f904(x102041,x102041),a894),f905(x102041,a894)),x102041),f7(x102041,f905(f904(x102041,x102041),a894),a894)),f317(f317(f8(f905(x102041,f904(x102041,x102041)),f905(x102041,f905(f905(f904(x102041,x102041),a894),a894)),x102041),f317(f8(f904(x102041,x102041),f905(f905(f904(x102041,x102041),a894),a894),x102041),f319(f904(x102041,x102041)))),f242(x102041,x102041)))),x102042)) % 199.88/200.99 [10247]P36(x102471,x102472)+~P59(x102471,f317(f317(f7(x102471,f905(f904(x102471,x102471),a894),f905(x102471,a894)),f317(f317(f8(f905(x102471,f905(f905(f904(x102471,x102471),a894),a894)),f905(f905(f904(x102471,x102471),a894),f905(x102471,a894)),x102471),f7(x102471,f905(f904(x102471,x102471),a894),a894)),f317(f317(f8(f905(x102471,f904(x102471,x102471)),f905(x102471,f905(f905(f904(x102471,x102471),a894),a894)),x102471),f317(f8(f904(x102471,x102471),f905(f905(f904(x102471,x102471),a894),a894),x102471),f319(f904(x102471,x102471)))),f242(x102471,x102471)))),x102472)) % 199.88/200.99 [10248]P8(x102481,f232(f905(x102481,a894)),x102482)+~P7(x102481,f317(f317(f7(x102481,f905(f904(x102481,x102481),a894),f905(x102481,a894)),f317(f317(f8(f905(x102481,f905(f905(f904(x102481,x102481),a894),a894)),f905(f905(f904(x102481,x102481),a894),f905(x102481,a894)),x102481),f7(x102481,f905(f904(x102481,x102481),a894),a894)),f317(f317(f8(f905(x102481,f904(x102481,x102481)),f905(x102481,f905(f905(f904(x102481,x102481),a894),a894)),x102481),f317(f8(f904(x102481,x102481),f905(f905(f904(x102481,x102481),a894),a894),x102481),f319(f904(x102481,x102481)))),f242(x102481,x102481)))),x102482)) % 199.88/200.99 [7383]E(f317(f317(f74(a898),f317(f94(a898),f317(f317(f23(a1),x73831),a87))),x73832),f317(a102,f317(f317(f74(a898),f317(f94(a898),x73831)),x73832)))+P1(f317(a183,f317(f94(a1),x73831))) % 199.88/200.99 [7826]~P93(x78261)+E(f317(f317(f74(x78261),f317(f317(f74(x78261),f72(x78261)),f317(f94(x78261),x78262))),f317(f94(x78261),x78262)),f317(f94(x78261),f317(f317(f23(a1),f317(f317(f74(a1),x78262),x78262)),a87))) % 199.88/200.99 [8470]~P1(f317(f317(f225(a1),x84701),x84702))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x84701),x84701)),f317(f317(f23(a1),f317(f317(f74(a1),x84702),x84702)),a87))) % 199.88/200.99 [8472]~P1(f317(f317(f225(a1),x84721),x84722))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x84721),x84721)),f317(f317(f23(a1),f317(f317(f74(a1),x84722),x84722)),a87))) % 199.88/200.99 [8900]P1(f317(f317(f225(a1),x89001),x89002))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x89001),x89001)),f317(f317(f23(a1),f317(f317(f74(a1),x89002),x89002)),a87))) % 199.88/200.99 [8902]P1(f317(f317(f225(a1),x89021),x89022))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),x89021),x89021)),f317(f317(f23(a1),f317(f317(f74(a1),x89022),x89022)),a87))) % 199.88/200.99 [9192]~P1(f317(f317(f225(a1),x91921),x91922))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91921),x91921)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91922),x91922)),a87))) % 199.88/200.99 [9194]~P1(f317(f317(f226(a1),x91941),x91942))+P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91941),x91941)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91942),x91942)),a87))) % 199.88/200.99 [9466]P1(f317(f317(f225(a1),x94661),x94662))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94661),x94661)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94662),x94662)),a87))) % 199.88/200.99 [9468]P1(f317(f317(f226(a1),x94681),x94682))+~P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94681),x94681)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94682),x94682)),a87))) % 199.88/200.99 [9501]~P1(f317(f28(x95011),x95012))+P1(f317(f28(f905(x95011,a894)),f317(f252(f905(x95011,a894)),f317(f317(f7(f905(x95011,a894),f905(x95011,a894),a894),f225(f905(x95011,a894))),x95012)))) % 199.88/200.99 [9553]~E(f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),x95531),f178(f905(f904(a898,a898),a894)))),f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),x95532),f178(f905(f904(a898,a898),a894)))))+P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),x95531),x95532)),a99)) % 199.88/200.99 [9647]E(f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),x96471),f178(f905(f904(a898,a898),a894)))),f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),x96472),f178(f905(f904(a898,a898),a894)))))+~P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),x96471),x96472)),a99)) % 199.88/200.99 [9683]P1(f317(f317(f225(a1),f2(a1)),f615(x96831,x96832)))+E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x96831)),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x96832))) % 199.88/200.99 [10187]~P5(x101871)+E(f32(x101871,f317(f252(x101871),f317(f317(f8(f905(x101871,a894),a894,x101871),f82(x101871)),f317(f317(f8(f905(x101871,a894),f905(x101871,a894),x101871),f317(f18(x101871,a894,a894),f317(f317(f8(a894,f905(a894,a894),x101871),a320),f317(f317(f7(x101871,f905(x101871,a894),a894),f319(x101871)),x101872)))),f317(f7(x101871,x101871,a894),f225(x101871)))))),f31(x101871,x101872)) % 199.88/200.99 [10209]P1(f317(f317(f319(a898),f2(a898)),x102091))+E(f317(f29(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,f905(a898,a894),a894),f317(f317(f8(a898,f905(f905(a898,a894),a894),a898),f319(a898)),a102)),x102091))),f317(f317(f7(a898,a898,a894),f226(a898)),x102092)))),f317(f29(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,f905(a898,a894),a894),f319(a898)),x102091))),f317(f317(f7(a898,a898,a894),f226(a898)),f317(a102,x102092)))))) % 199.88/200.99 [10267]P1(f317(f317(f277(a898),x102671),x102672))+~P1(f317(f317(f319(a898),x102672),f285(a898,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x102671))) % 199.88/200.99 [10268]P1(f317(f317(f277(a898),x102681),x102682))+~P1(f317(f317(f319(a898),x102681),f288(a898,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x102682))) % 199.88/200.99 [10269]~P1(f317(f317(f277(a898),x102691),x102692))+~P1(f317(f317(f319(a898),x102692),f288(a898,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x102691))) % 199.88/200.99 [10270]~P1(f317(f317(f277(a898),x102701),x102702))+~P1(f317(f317(f319(a898),x102701),f285(a898,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x102702))) % 199.88/200.99 [7693]~P93(x76931)+E(f317(f317(f75(x76931),x76932),f317(f94(x76931),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x76932) % 199.88/200.99 [7957]~P93(x79571)+E(f317(f317(f74(x79571),f317(f94(x79571),x79572)),f72(x79571)),f317(f94(x79571),f317(f317(f74(a1),x79572),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))) % 199.88/200.99 [8101]P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x81012)))+E(f317(f317(f234(a1),x81011),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),x81012),x81012)),a87))),f72(a1)) % 199.88/200.99 [9528]~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x95282)))+E(f317(f317(f234(a1),x95281),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),x95282),x95282)),a87))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x95281),f317(f94(a898),x95282))),f317(f317(f18(a1,a1,a1),f317(f317(f8(a1,f905(a1,a1),a1),f75(a1)),f317(f75(a1),x95281))),f5(a1)))) % 199.88/200.99 [9904]~P1(f317(f317(f225(a898),f627(x99042,x99041)),f317(x99041,f627(x99042,x99041))))+P1(f317(f28(a898),f317(f252(a898),f317(f317(f7(a898,a898,a894),f317(f317(f8(a898,f905(a898,a894),a898),f225(a898)),x99041)),x99042)))) % 199.88/200.99 [10039]~P1(f317(f317(f225(a898),f317(f94(a898),x100391)),f317(a102,x100392)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x100391),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),f225(a898)),a95)),x100392)))) % 199.88/200.99 [10040]~P1(f317(f317(f226(a898),f317(f94(a898),x100401)),f317(a102,x100402)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x100401),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),f226(a898)),a95)),x100402)))) % 199.88/200.99 [10099]P1(f317(f317(f225(a898),f317(f94(a898),x100991)),f317(a102,x100992)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x100991),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),f225(a898)),a95)),x100992)))) % 199.88/200.99 [10100]P1(f317(f317(f226(a898),f317(f94(a898),x101001)),f317(a102,x101002)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101001),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),f226(a898)),a95)),x101002)))) % 199.88/200.99 [10130]~P1(f317(f317(f225(a898),f317(a102,x101302)),f317(f94(a898),x101301)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101301),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a898,a894,a1),f317(f225(a898),x101302)),a95))))) % 199.88/200.99 [10131]~P1(f317(f317(f226(a898),f317(a102,x101312)),f317(f94(a898),x101311)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101311),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a898,a894,a1),f317(f226(a898),x101312)),a95))))) % 199.88/200.99 [10177]P1(f317(f317(f225(a898),f317(a102,x101771)),f317(f94(a898),x101772)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101772),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a898,a894,a1),f317(f225(a898),x101771)),a95))))) % 199.88/200.99 [10178]P1(f317(f317(f226(a898),f317(a102,x101781)),f317(f94(a898),x101782)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101782),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a898,a894,a1),f317(f226(a898),x101781)),a95))))) % 199.88/200.99 [10257]~P1(f317(f317(f319(a898),f2(a898)),x102571))+E(f317(a102,f317(f29(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,f905(a898,a894),a894),f317(f317(f8(a898,f905(f905(a898,a894),a894),a898),f319(a898)),a102)),x102571))),f317(f317(f7(a898,a898,a894),f226(a898)),x102572))))),f317(f29(a898),f317(f252(a898),f317(f317(f18(a898,a894,a894),f317(f317(f8(a894,f905(a894,a894),a898),a315),f317(f317(f7(a898,f905(a898,a894),a894),f319(a898)),x102571))),f317(f317(f7(a898,a898,a894),f226(a898)),f317(a102,x102572)))))) % 199.88/200.99 [8642]~P93(x86421)+E(f317(f317(f75(x86421),f317(f94(x86421),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x86422),x86422) % 199.88/200.99 [8703]~P93(x87031)+E(f317(f317(f74(x87031),f72(x87031)),f317(f94(x87031),x87032)),f317(f94(x87031),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x87032))) % 199.88/200.99 [8765]~P93(x87651)+E(f317(f317(f23(x87651),f317(f94(x87651),x87652)),f72(x87651)),f317(f94(x87651),f317(f317(f74(a1),x87652),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.99 [8919]~P1(f317(f317(f226(a898),f317(f94(a898),a77)),x89192))+E(f317(f317(f23(a898),x89191),f317(f317(f23(a898),x89192),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f23(a898),f317(a102,x89191)),x89192)) % 199.88/200.99 [9571]~P112(x95711)+E(f317(f317(f75(x95711),x95712),x95712),f317(f317(f234(x95711),x95712),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.99 [9572]~P82(x95721)+E(f317(f317(f234(x95721),x95722),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f75(x95721),x95722),x95722)) % 199.88/200.99 [9574]~P93(x95741)+E(f317(f317(f75(x95741),x95742),f317(f94(x95741),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f74(x95741),x95742),x95742)) % 199.88/200.99 [9822]~P111(x98221)+E(f317(f317(f234(x98221),f317(f70(x98221),x98222)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x98221),x98222),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.99 [9823]~P128(x98231)+E(f317(f317(f234(x98231),f317(f73(x98231),x98232)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x98231),x98232),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.99 [9819]~P93(x98191)+E(f317(f317(f75(x98191),f317(f94(x98191),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x98192),f317(f317(f74(x98191),x98192),x98192)) % 199.88/200.99 [9937]~P111(x99371)+E(f317(f70(x99371),f317(f317(f234(x99371),x99372),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x99371),x99372),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.99 [10001]~P111(x100011)+P1(f317(f317(f225(x100011),f2(x100011)),f317(f317(f234(x100011),x100012),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/200.99 [10168]~E(f317(a102,x101682),f317(f94(a898),x101681))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101681),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),a314),a95)),x101682))))) % 199.88/200.99 [10169]~E(f317(f94(a898),x101691),f317(a102,x101692))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101691),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),a314),a95)),x101692))))) % 199.88/200.99 [10212]E(f317(a102,x102121),f317(f94(a898),x102122))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x102122),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),a314),a95)),x102121))))) % 199.88/200.99 [10213]E(f317(f94(a898),x102131),f317(a102,x102132))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x102131),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a898,a894),f317(f317(f8(a898,f905(a898,a894),a1),a314),a95)),x102132))))) % 199.88/200.99 [10258]~P15(x102581,x102582)+P1(f317(f317(f319(f905(x102581,a894)),f789(x102582,x102581)),f317(f317(f8(f905(x102581,a894),a894,f905(x102581,a894)),f81(x102581)),f317(f317(f8(f905(x102581,a894),f905(x102581,a894),f905(x102581,a894)),f317(f18(x102581,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102581),a315),f317(f317(f18(x102581,x102581,a894),x102582),f5(x102581))))),f317(f317(f7(f905(x102581,a894),f905(x102581,f905(x102581,a894)),f905(x102581,a894)),f317(f317(f8(f905(f905(x102581,a894),a894),f905(f905(x102581,f905(x102581,a894)),f905(x102581,a894)),f905(x102581,a894)),f8(f905(x102581,a894),a894,x102581)),a314)),x102582))))) % 199.88/200.99 [9999]~P93(x99991)+E(f317(f317(f234(x99991),f317(f94(x99991),a87)),f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x99992)),f72(x99991)) % 199.88/200.99 [10000]~P128(x100001)+E(f317(f317(f234(x100001),f317(f73(x100001),f72(x100001))),f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100002)),f72(x100001)) % 199.88/200.99 [10003]~P82(x100031)+E(f317(f317(f234(x100031),x100032),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),a87))),f317(f317(f75(x100031),f317(f317(f75(x100031),x100032),x100032)),x100032)) % 199.88/200.99 [10192]~P1(f317(f317(f225(a1),f2(a1)),x101922))+E(f40(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101921)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101922)),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,x101921,x101922)))) % 199.88/200.99 [10215]~P1(f317(f317(f225(a1),f2(a1)),x102152))+E(f317(f317(f30(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102151))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102152)),f317(f317(f30(a1),x102151),x102152)) % 199.88/200.99 [10217]~P1(f317(f317(f225(a1),x102172),f2(a1)))+E(f317(f317(f30(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102171))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102172)),f317(f317(f30(a1),f317(f317(f74(a1),x102171),f72(a1))),x102172)) % 199.88/200.99 [10218]~P1(f317(f317(f225(a1),x102182),f2(a1)))+E(f40(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102181)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102182)),f317(f317(f23(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f40(a1,f317(f317(f74(a1),x102181),f72(a1)),x102182))),f72(a1))) % 199.88/200.99 [10090]~P93(x100901)+E(f317(f317(f234(x100901),f317(f94(x100901),a87)),f317(a102,f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100902))),f317(f94(x100901),a87)) % 199.88/200.99 [10092]~P128(x100921)+E(f317(f317(f234(x100921),f317(f73(x100921),f72(x100921))),f317(a102,f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100922))),f317(f73(x100921),f72(x100921))) % 199.88/200.99 [5008]P37(x50081,x50082)+~P8(x50081,x50083,x50082) % 199.88/200.99 [5010]P51(x50101,x50102)+~P8(x50101,x50103,x50102) % 199.88/200.99 [5183]~P8(x51831,x51832,x51833)+P52(x51831,x51832,x51833) % 199.88/200.99 [8167]~E(x81672,x81673)+P33(x81671,x81671,a314,x81672,x81673) % 199.88/200.99 [8716]E(x87161,x87162)+~P33(x87163,x87163,a314,x87161,x87162) % 199.88/200.99 [4812]E(f159(x48121,x48122,x48123),f103(x48121))+~E(x48122,f2(a898)) % 199.88/200.99 [4980]~E(f159(x49802,x49801,x49803),f103(x49802))+E(x49801,f2(a898)) % 199.88/200.99 [5188]~P36(x51881,x51883)+P36(x51881,f311(x51881,x51882,x51883)) % 199.88/200.99 [5297]~P28(x52971,x52972,x52973)+P30(a1,x52971,f168(x52972,x52973)) % 199.88/200.99 [5365]P28(x53651,x53652,x53653)+~P30(a1,x53651,f168(x53652,x53653)) % 199.88/200.99 [5437]~P8(x54371,x54372,x54373)+P8(f899(x54371),f151(x54371,x54372),f148(x54371,x54373)) % 199.88/200.99 [5438]~P52(x54381,x54382,x54383)+P52(f899(x54381),f151(x54381,x54382),f148(x54381,x54383)) % 199.88/200.99 [5551]P54(x55511,x55512,x55513)+~E(f562(x55513,x55512,x55511),f563(x55513,x55512,x55511)) % 199.88/200.99 [5552]P55(x55521,x55522,x55523)+~E(f585(x55523,x55522,x55521),f586(x55523,x55522,x55521)) % 199.88/200.99 [8173]~E(x81732,x81733)+P25(x81731,x81731,f25(x81731),x81732,x81733) % 199.88/200.99 [8724]E(x87241,x87242)+~P25(x87243,x87243,f25(x87243),x87241,x87242) % 199.88/200.99 [4767]~E(f317(f158(x47672),x47671),x47673)+E(x47671,f317(f158(x47672),x47673)) % 199.88/200.99 [4768]~E(x47682,f317(f158(x47681),x47683))+E(f317(f158(x47681),x47682),x47683) % 199.88/200.99 [4818]E(x48181,x48182)+~E(f317(f158(x48183),x48181),f317(f158(x48183),x48182)) % 199.88/200.99 [5034]~P7(x50343,x50341)+P1(f317(f317(x50341,x50342),x50342)) % 199.88/200.99 [5035]~P42(x50353,x50351)+P1(f317(f317(x50351,x50352),x50352)) % 199.88/200.99 [5037]~P59(x50371,x50372)+P1(f317(f305(x50371,x50372),x50373)) % 199.88/200.99 [5103]~P36(x51031,x51032)+P36(f899(x51031),f317(f133(x51031,x51032),x51033)) % 199.88/200.99 [5108]~P1(f317(x51082,x51083))+~E(f317(f252(x51081),x51082),f178(f905(x51081,a894))) % 199.88/200.99 [5109]~P1(f317(x51092,x51093))+~E(f178(f905(x51091,a894)),f317(f252(x51091),x51092)) % 199.88/200.99 [5121]E(x51211,f2(a898))+E(f134(x51212,f159(x51212,x51211,x51213)),x51213) % 199.88/200.99 [5140]~P1(f317(x51401,x51403))+P1(f317(x51401,f84(x51402,x51401))) % 199.88/200.99 [5141]~P1(f317(x51411,x51413))+P1(f317(x51411,f715(x51411,x51412))) % 199.88/200.99 [5153]E(x51531,f2(a898))+E(f317(f131(x51532),f159(x51532,x51531,x51533)),x51533) % 199.88/200.99 [5259]~E(x52592,x52593)+P1(f317(f317(f319(x52591),x52592),f317(a314,x52593))) % 199.88/200.99 [5274]~E(x52742,f2(a898))+E(f317(f162(x52741),f159(x52741,x52742,x52743)),f178(f905(x52741,a894))) % 199.88/200.99 [5319]E(f317(f158(x53191),x53192),f317(f317(f141(x53191),x53193),f103(x53191)))+~E(x53192,f317(f317(f141(x53191),x53193),f103(x53191))) % 199.88/200.99 [5320]~E(x53203,f317(f317(f141(x53201),x53202),f103(x53201)))+E(f317(f317(f141(x53201),x53202),f103(x53201)),f317(f158(x53201),x53203)) % 199.88/200.99 [5361]~P32(x53611,x53612,x53613)+P32(x53611,x53612,f317(f158(x53611),x53613)) % 199.88/200.99 [5362]~P30(x53621,x53622,x53623)+P30(x53621,x53622,f317(f158(x53621),x53623)) % 199.88/200.99 [5366]E(f317(f29(x53661),f547(x53662,x53663,x53661)),x53662)+~E(f317(f29(x53661),x53663),f317(a102,x53662)) % 199.88/200.99 [5373]~P36(x53731,x53733)+P1(f317(f317(f319(x53731),x53732),f306(x53731,x53733))) % 199.88/200.99 [5377]~E(f317(f158(x53772),x53771),f317(f317(f141(x53772),x53773),f103(x53772)))+E(x53771,f317(f317(f141(x53772),x53773),f103(x53772))) % 199.88/200.99 [5378]~E(f317(f317(f141(x53782),x53783),f103(x53782)),f317(f158(x53782),x53781))+E(x53781,f317(f317(f141(x53782),x53783),f103(x53782))) % 199.88/200.99 [5402]E(f79(f904(a898,a898),f43(x54021,x54022)),x54023)+~P1(f317(f43(x54021,x54022),x54023)) % 199.88/200.99 [5441]P32(x54411,x54412,x54413)+~P32(x54411,x54412,f317(f158(x54411),x54413)) % 199.88/200.99 [5442]P30(x54421,x54422,x54423)+~P30(x54421,x54422,f317(f158(x54421),x54423)) % 199.88/200.99 [5481]P1(f317(f317(x54811,x54812),x54812))+~P1(f317(f260(x54813,x54811),x54812)) % 199.88/200.99 [5482]~P1(f317(f317(x54822,x54823),x54823))+P1(f317(f260(x54821,x54822),x54823)) % 199.88/200.99 [5504]~E(x55042,f103(x55041))+P1(f317(f317(f319(f899(x55041)),x55042),f151(x55041,x55043))) % 199.88/200.99 [5514]~P52(x55141,x55142,x55143)+P52(x55141,x55142,f317(f276(x55141,x55141),x55143)) % 199.88/200.99 [5515]~P55(x55151,x55152,x55153)+P55(x55151,x55152,f317(f276(x55151,x55151),x55153)) % 199.88/200.99 [5532]~P3(x55321)+E(f40(x55321,f40(x55321,x55322,x55323),x55323),f40(x55321,x55322,x55323)) % 199.88/200.99 [5634]E(x56341,x56342)+~P1(f317(f317(f319(x56343),x56341),f317(a314,x56342))) % 199.88/200.99 [5681]~P144(x56811)+E(f180(x56811,x56812,f2(a898),x56813),x56813) % 199.88/200.99 [5703]P52(x57031,x57032,x57033)+~P52(x57031,x57032,f317(f276(x57031,x57031),x57033)) % 199.88/200.99 [5704]P55(x57041,x57042,x57043)+~P55(x57041,x57042,f317(f276(x57041,x57041),x57043)) % 199.88/200.99 [5708]~P108(x57082)+E(f140(x57081,x57082,x57083,f103(x57081)),f103(x57081)) % 199.88/200.99 [5720]E(f160(x57201,x57202,f142(x57201,x57203)),f142(x57201,f160(x57201,x57202,x57203)))+~P1(f317(f127(x57201),x57203)) % 199.88/200.99 [5819]~P1(f317(f317(x58193,x58192),x58192))+P1(f317(f317(f319(x58191),x58192),f260(x58191,x58193))) % 199.88/200.99 [5821]E(f317(f126(x58211,x58212),x58213),f103(x58211))+P1(f317(x58212,f649(x58213,x58212,x58211))) % 199.88/200.99 [5889]E(f62(x58891,x58892,x58893),x58892)+P1(f317(x58893,f716(x58892,x58891,x58893))) % 199.88/200.99 [5985]~P1(f317(f127(x59851),x59852))+P1(f317(f127(x59851),f166(x59851,x59852,x59853))) % 199.88/200.99 [5986]~P1(f317(f127(x59861),x59863))+P1(f317(f127(x59861),f160(x59861,x59862,x59863))) % 199.88/200.99 [5987]~P1(f317(f127(x59871),x59873))+P1(f317(f127(x59871),f167(x59871,x59872,x59873))) % 199.88/200.99 [5988]~P1(f317(f127(x59881),x59883))+P1(f317(f127(x59881),f130(x59881,x59882,x59883))) % 199.88/200.99 [5989]~P147(x59891,x59893,x59892)+P1(f317(x59891,f40(a1,x59892,x59893))) % 199.88/200.99 [6006]~P32(x60063,x60061,x60062)+P1(f317(x60061,f728(x60062,x60061,x60063))) % 199.88/200.99 [6007]~P34(x60073,x60071,x60072)+P1(f317(x60071,f734(x60072,x60071,x60073))) % 199.88/200.99 [6008]~P34(x60083,x60081,x60082)+P1(f317(x60081,f744(x60082,x60081,x60083))) % 199.88/200.99 [6009]~P32(x60093,x60091,x60092)+P1(f317(x60091,f773(x60092,x60091,x60093))) % 199.88/200.99 [6010]~P32(x60103,x60101,x60102)+P1(f317(x60101,f775(x60101,x60102,x60103))) % 199.88/200.99 [6015]P1(f317(f317(x60151,x60152),x60152))+~P1(f317(f317(f319(x60153),x60152),f260(x60153,x60151))) % 199.88/200.99 [6030]E(f317(f126(x60301,x60302),x60303),f167(x60301,x60302,x60303))+P1(f317(x60302,f699(x60303,x60302,x60301))) % 199.88/200.99 [6070]~P1(f317(f127(x60701),x60703))+P1(f317(f127(f899(x60701)),f50(x60701,x60702,x60703))) % 199.88/200.99 [6106]~P109(x61061)+E(f317(f317(f92(f905(x61061,a894)),f317(f272(x61061),x61062)),f293(x61061,x61062,x61063)),f178(f905(x61061,a894))) % 199.88/200.99 [6107]~P109(x61071)+E(f317(f317(f92(f905(x61071,a894)),f317(f291(x61071),x61072)),f296(x61071,x61072,x61073)),f178(f905(x61071,a894))) % 199.88/200.99 [6108]~P109(x61081)+E(f317(f317(f92(f905(x61081,a894)),f317(f291(x61081),x61082)),f295(x61081,x61082,x61083)),f178(f905(x61081,a894))) % 199.88/200.99 [6344]E(f317(f126(x63441,x63442),x63443),x63443)+~P1(f317(x63442,f650(x63443,x63442,x63441))) % 199.88/200.99 [6346]E(f317(f317(f299(x63461),f541(x63462,x63463,x63461)),f547(x63462,x63463,x63461)),x63463)+~E(f317(f29(x63461),x63463),f317(a102,x63462)) % 199.88/200.99 [6362]P147(x63621,x63622,x63623)+~P1(f317(x63621,f40(a1,x63623,x63622))) % 199.88/200.99 [6415]P30(x64151,x64152,x64153)+~P1(f317(x64152,f735(x64153,x64152,x64151))) % 199.88/200.99 [6416]P30(x64161,x64162,x64163)+~P1(f317(x64162,f742(x64162,x64163,x64161))) % 199.88/200.99 [6417]P30(x64171,x64172,x64173)+~P1(f317(x64172,f743(x64173,x64172,x64171))) % 199.88/200.99 [6418]P28(x64181,x64182,x64183)+~P1(f317(x64181,f761(x64183,x64182,x64181))) % 199.88/200.99 [6419]P29(x64191,x64192,x64193)+~P1(f317(x64191,f831(x64193,x64192,x64191))) % 199.88/200.99 [6421]E(f167(x64211,x64212,x64213),x64213)+~P1(f317(x64212,f695(x64213,x64212,x64211))) % 199.88/200.99 [6502]~P1(f317(x65022,f549(x65023,x65022,x65021)))+P1(f317(f238(x65021,x65022),x65023)) % 199.88/200.99 [6503]~P1(f317(x65032,f651(x65033,x65032,x65031)))+P1(f317(f150(x65031,x65032),x65033)) % 199.88/200.99 [6759]~P1(f317(f305(x67591,x67592),f878(x67593,x67592,x67591)))+P1(f317(f305(x67591,x67592),x67593)) % 199.88/200.99 [6760]~P1(f317(f305(x67601,x67602),f885(x67603,x67602,x67601)))+P1(f317(f305(x67601,x67602),x67603)) % 199.88/200.99 [7384]~P3(x73841)+E(f317(f317(f74(x73841),f317(f317(f75(x73841),x73842),f317(f317(f30(x73841),x73843),x73842))),f40(x73841,x73843,x73842)),x73843) % 199.88/200.99 [7414]P28(x74141,x74142,x74143)+P1(f317(f317(f319(a1),f761(x74143,x74142,x74141)),f293(a1,x74142,x74143))) % 199.88/200.99 [7847]E(f317(f317(f242(x78471,x78471),f418(x78472,x78473,x78471)),f418(x78472,x78473,x78471)),x78473)+~P1(f317(f317(f319(f904(x78471,x78471)),x78473),f253(x78471,x78472))) % 199.88/200.99 [7965]~P1(f317(f317(f319(x79651),f481(x79653,x79652,x79651)),f306(x79651,x79653)))+P1(f317(f317(f319(x79651),x79652),f306(x79651,x79653))) % 199.88/200.99 [7966]~P1(f317(f317(f319(x79661),f565(x79663,x79662,x79661)),f306(x79661,x79663)))+P1(f317(f317(f319(x79661),x79662),f306(x79661,x79663))) % 199.88/200.99 [7967]~P1(f317(f317(f319(x79671),f567(x79673,x79672,x79671)),f306(x79671,x79673)))+P1(f317(f317(f319(x79671),x79672),f306(x79671,x79673))) % 199.88/200.99 [8060]P32(a1,x80601,f168(x80602,x80603))+P28(f317(f67(a894,a894,a1,a312),x80601),x80602,x80603) % 199.88/200.99 [8148]~P3(x81481)+E(f317(f317(f74(x81481),f317(f317(f75(x81481),f317(f317(f30(x81481),x81482),x81483)),x81483)),f40(x81481,x81482,x81483)),x81482) % 199.88/200.99 [8194]~E(f317(f29(x81941),x81942),f317(a102,x81943))+~P1(f317(f317(f319(x81941),f541(x81943,x81942,x81941)),f547(x81943,x81942,x81941))) % 199.88/200.99 [8634]~P32(a1,x86341,f168(x86342,x86343))+~P28(f317(f67(a894,a894,a1,a312),x86341),x86342,x86343) % 199.88/200.99 [8821]P1(f317(f317(f225(f905(f904(x88211,x88211),a894)),f297(x88211,x88212)),f297(x88211,x88213)))+~P1(f317(f317(f225(f905(f904(x88211,x88211),a894)),x88212),f297(x88211,x88213))) % 199.88/200.99 [9101]E(x91011,f103(x91012))+~P1(f317(f317(f319(f904(f899(x91012),f899(x91012))),f317(f317(f242(f899(x91012),f899(x91012)),x91011),f103(x91012))),f148(x91012,x91013))) % 199.88/200.99 [9126]E(x91261,f103(x91262))+~P1(f317(f317(f319(f904(f899(x91262),f899(x91262))),f317(f317(f242(f899(x91262),f899(x91262)),f103(x91262)),x91261)),f148(x91262,x91263))) % 199.88/200.99 [9252]E(f317(f317(f141(x92521),f668(x92522,x92523,x92521)),f669(x92522,x92523,x92521)),x92523)+~P1(f317(f317(f319(f904(f899(x92521),f899(x92521))),f317(f317(f242(f899(x92521),f899(x92521)),f103(x92521)),x92523)),f137(x92521,x92522))) % 199.88/200.99 [9494]~P126(x94941)+~P1(f317(f317(f226(x94941),f317(f317(f74(x94941),f317(f317(f75(x94941),x94942),x94942)),f317(f317(f75(x94941),x94943),x94943))),f2(x94941))) % 199.88/200.99 [9545]P1(f317(f28(x95451),x95452))+~P1(f317(f317(f319(f904(f905(x95451,a894),f905(x95451,a894))),f317(f317(f242(f905(x95451,a894),f905(x95451,a894)),x95453),x95452)),f304(x95451))) % 199.88/200.99 [9848]~P46(x98481,x98482,x98483)+P1(f317(f317(f225(a1),f317(f317(f67(f904(a1,a1),a1,x98481,f241(a1,a1)),f202(x98481)),f220(x98481,x98482,f217(x98481,x98483)))),f2(a1))) % 199.88/200.99 [9849]~P47(x98491,x98492,x98493)+P1(f317(f317(f226(a1),f317(f317(f67(f904(a1,a1),a1,x98491,f241(a1,a1)),f202(x98491)),f220(x98491,x98492,f217(x98491,x98493)))),f2(a1))) % 199.88/200.99 [9967]P47(x99671,x99672,x99673)+~P1(f317(f317(f226(a1),f317(f317(f67(f904(a1,a1),a1,x99671,f241(a1,a1)),f202(x99671)),f220(x99671,x99672,f217(x99671,x99673)))),f2(a1))) % 199.88/200.99 [9968]P46(x99681,x99682,x99683)+~P1(f317(f317(f225(a1),f317(f317(f67(f904(a1,a1),a1,x99681,f241(a1,a1)),f202(x99681)),f220(x99681,x99682,f217(x99681,x99683)))),f2(a1))) % 199.88/200.99 [10320]~P111(x103201)+~P1(f317(f317(f226(x103201),f317(f317(f74(x103201),f317(f317(f234(x103201),x103202),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103201),x103203),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103201))) % 199.88/200.99 [4797]~E(x47973,f103(x47971))+E(f317(f317(f124(x47971),x47972),x47973),x47972) % 199.88/200.99 [4798]~E(x47982,f103(x47981))+E(f317(f317(f124(x47981),x47982),x47983),x47983) % 199.88/200.99 [4804]~E(x48042,f2(a898))+E(f317(f317(f165(x48041),x48042),x48043),f103(x48041)) % 199.88/200.99 [4813]~E(x48133,f103(x48131))+E(f317(f317(f165(x48131),x48132),x48133),f103(x48131)) % 199.88/200.99 [4852]~E(x48521,x48523)+E(x48521,f317(f317(f124(x48522),f103(x48522)),x48523)) % 199.88/200.99 [4943]~P66(x49432)+E(f317(f178(f905(x49431,x49432)),x49433),f178(x49432)) % 199.88/200.99 [4944]~P116(x49442)+E(f317(f232(f905(x49441,x49442)),x49443),f232(x49442)) % 199.88/200.99 [4962]E(x49621,f103(x49622))+~E(f317(f317(f124(x49622),x49623),x49621),x49623) % 199.88/200.99 [4963]E(x49631,f103(x49632))+~E(f317(f317(f124(x49632),x49631),x49633),x49633) % 199.88/200.99 [4971]E(x49711,f103(x49712))+~E(f317(f317(f124(x49712),x49713),x49711),f103(x49712)) % 199.88/200.99 [4972]E(x49721,f103(x49722))+~E(f317(f317(f124(x49722),x49721),x49723),f103(x49722)) % 199.88/200.99 [5001]~E(x50012,f2(a898))+E(f317(f317(f75(a898),x50011),x50012),f317(f317(f75(a898),x50013),x50012)) % 199.88/200.99 [5003]~E(x50031,f2(a898))+E(f317(f317(f75(a898),x50031),x50032),f317(f317(f75(a898),x50031),x50033)) % 199.88/200.99 [5061]~P112(x50611)+E(f317(f317(f74(x50611),x50612),x50613),f317(f317(f74(x50611),x50613),x50612)) % 199.88/200.99 [5062]~P112(x50621)+E(f317(f317(f75(x50621),x50622),x50623),f317(f317(f75(x50621),x50623),x50622)) % 199.88/200.99 [5064]~P108(x50641)+E(f317(f317(f229(x50641),x50642),x50643),f317(f317(f229(x50641),x50643),x50642)) % 199.88/200.99 [5066]~P108(x50661)+E(f317(f317(f224(x50661),x50662),x50663),f317(f317(f224(x50661),x50663),x50662)) % 199.88/200.99 [5067]~P98(x50671)+E(f317(f317(f91(x50671),x50672),x50673),f317(f317(f91(x50671),x50673),x50672)) % 199.88/200.99 [5069]~P103(x50691)+E(f317(f317(f91(x50691),x50692),x50693),f317(f317(f91(x50691),x50693),x50692)) % 199.88/200.99 [5070]~P98(x50701)+E(f317(f317(f92(x50701),x50702),x50703),f317(f317(f92(x50701),x50703),x50702)) % 199.88/200.99 [5072]~P104(x50721)+E(f317(f317(f92(x50721),x50722),x50723),f317(f317(f92(x50721),x50723),x50722)) % 199.88/200.99 [5135]E(f40(a898,x51351,x51352),f2(a898))+~E(x51351,f317(f317(f75(a898),x51352),x51353)) % 199.88/200.99 [5136]E(f40(a1,x51361,x51362),f2(a1))+~E(x51361,f317(f317(f75(a1),x51362),x51363)) % 199.88/200.99 [5200]E(x52001,x52002)+~E(f317(f317(f74(a898),x52003),x52001),f317(f317(f74(a898),x52003),x52002)) % 199.88/200.99 [5201]E(x52011,x52012)+~E(f317(f317(f74(a898),x52011),x52013),f317(f317(f74(a898),x52012),x52013)) % 199.88/200.99 [5211]~P68(x52111)+E(f317(f317(f74(x52111),x52112),f317(f73(x52111),x52113)),f317(f317(f23(x52111),x52112),x52113)) % 199.88/200.99 [5212]~P76(x52121)+E(f317(f317(f74(x52121),x52122),f317(f73(x52121),x52123)),f317(f317(f23(x52121),x52122),x52123)) % 199.88/200.99 [5213]~P114(x52131)+E(f317(f317(f74(x52131),x52132),f317(f73(x52131),x52133)),f317(f317(f23(x52131),x52132),x52133)) % 199.88/200.99 [5214]~P96(x52141)+E(f317(f317(f92(x52141),x52142),f317(f73(x52141),x52143)),f317(f317(f23(x52141),x52142),x52143)) % 199.88/200.99 [5215]~P76(x52151)+E(f317(f317(f23(x52151),x52152),f317(f73(x52151),x52153)),f317(f317(f74(x52151),x52152),x52153)) % 199.88/200.99 [5253]~P1(f317(x52533,x52532))+P1(f317(f317(f319(x52531),x52532),x52533)) % 199.88/200.99 [5255]~P78(x52552)+E(f317(f317(f9(x52551,x52552),x52553),f178(f905(x52551,a894))),f72(x52552)) % 199.88/200.99 [5257]~P77(x52572)+E(f317(f317(f6(x52571,x52572),x52573),f178(f905(x52571,a894))),f2(x52572)) % 199.88/200.99 [5309]~E(x53092,f317(f317(f74(a898),x53091),x53093))+P1(f317(f317(f225(a898),x53091),x53092)) % 199.88/200.99 [5312]~E(x53122,f178(f905(x53121,a894)))+E(f317(f317(f55(x53121),x53122),x53123),f178(f905(f905(x53121,a894),a894))) % 199.88/200.99 [5313]~E(x53132,f178(f905(x53131,a894)))+E(f178(f905(f905(x53131,a894),a894)),f317(f317(f55(x53131),x53132),x53133)) % 199.88/200.99 [5382]~E(f317(f274(x53822,x53823),x53821),f178(f905(x53823,a894)))+E(x53821,f178(f905(f904(x53822,x53823),a894))) % 199.88/200.99 [5383]~E(f317(f254(x53832,x53833),x53831),f178(f905(x53832,a894)))+E(x53831,f178(f905(f904(x53832,x53833),a894))) % 199.88/200.99 [5415]E(f317(f274(x54151,x54152),x54153),f178(f905(x54152,a894)))+~E(x54153,f178(f905(f904(x54151,x54152),a894))) % 199.88/200.99 [5416]E(f317(f254(x54161,x54162),x54163),f178(f905(x54161,a894)))+~E(x54163,f178(f905(f904(x54161,x54162),a894))) % 199.88/200.99 [5419]E(f264(x54191,x54192,x54193),f317(f317(f23(a89),x54192),x54193))+P1(f317(f317(f226(a89),x54192),x54193)) % 199.88/200.99 [5435]P1(f317(x54351,x54352))+~P1(f317(f317(f319(x54353),x54352),x54351)) % 199.88/200.99 [5474]E(x54741,x54742)+~E(f317(f73(f905(x54743,a894)),x54741),f317(f73(f905(x54743,a894)),x54742)) % 199.88/200.99 [5485]~E(x54851,f178(f905(x54852,a894)))+~P1(f317(f317(f319(x54852),x54853),x54851)) % 199.88/200.99 [5516]~E(x55162,f317(f317(f74(a1),x55161),f317(f90(a1),x55163)))+P1(f317(f317(f225(a1),x55161),x55162)) % 199.88/200.99 [5530]E(f317(f317(f299(x55301),x55302),x55303),x55303)+~P1(f317(f317(f319(x55301),x55302),x55303)) % 199.88/200.99 [5541]E(x55411,f178(f905(x55412,a894)))+~E(f317(f317(f55(x55412),x55411),x55413),f178(f905(f905(x55412,a894),a894))) % 199.88/200.99 [5542]E(x55421,f178(f905(x55422,a894)))+~E(f178(f905(f905(x55422,a894),a894)),f317(f317(f55(x55422),x55421),x55423)) % 199.88/200.99 [5549]~P140(x55491)+E(f317(f317(f75(x55491),f317(f73(x55491),x55492)),f317(f73(x55491),x55493)),f317(f317(f75(x55491),x55492),x55493)) % 199.88/200.99 [5550]~P61(x55501)+E(f317(f317(f281(x55501),f317(f73(x55501),x55502)),f317(f73(x55501),x55503)),f317(f317(f281(x55501),x55502),x55503)) % 199.88/200.99 [5581]~P1(f317(x55813,x55812))+P1(f317(f317(f319(x55811),x55812),f317(f252(x55811),x55813))) % 199.88/200.99 [5608]E(x56081,f2(a898))+E(f317(f162(x56082),f159(x56082,x56081,x56083)),f317(f317(f299(x56082),x56083),f178(f905(x56082,a894)))) % 199.88/200.99 [5627]E(f160(x56271,x56272,x56273),x56273)+P1(f317(f317(f319(x56271),x56272),f317(f162(x56271),x56273))) % 199.88/200.99 [5712]~P1(f317(f127(x57121),x57123))+P1(f317(f127(x57121),f317(f126(x57121,x57122),x57123))) % 199.88/200.99 [5755]~P3(x57551)+E(f317(f317(f30(x57551),f40(x57551,x57552,x57553)),x57553),f2(x57551)) % 199.88/200.99 [5774]E(f166(x57741,f317(f317(f141(x57741),x57742),f103(x57741)),x57743),f103(x57741))+P1(f317(f317(f319(a898),f2(a898)),x57743)) % 199.88/200.99 [5780]E(x57801,f2(a898))+E(f317(f161(x57802),f159(x57802,x57801,x57803)),f159(x57802,f317(f317(f23(a898),x57801),f72(a898)),x57803)) % 199.88/200.99 [5831]E(f317(f317(f141(x58311),x58312),x58313),f130(x58311,x58312,x58313))+P1(f317(f317(f319(x58311),x58312),f317(f162(x58311),x58313))) % 199.88/200.99 [5840]E(x58401,x58402)+~E(f317(f317(f75(a898),f317(a102,x58403)),x58401),f317(f317(f75(a898),f317(a102,x58403)),x58402)) % 199.88/200.99 [5841]~E(x58412,f317(f317(f74(a1),x58411),f317(f90(a1),f317(a102,x58413))))+P1(f317(f317(f226(a1),x58411),x58412)) % 199.88/200.99 [5911]~P29(x59111,x59112,x59113)+P30(a898,x59111,f129(a898,f317(f292(a898,x59112),x59113))) % 199.88/200.99 [5964]~E(x59643,f103(x59641))+E(f317(f317(f317(f173(f899(x59641),f899(x59641)),x59642),f157(x59641)),x59643),f103(x59641)) % 199.88/200.99 [5968]P1(f317(x59681,x59682))+~P1(f317(f317(f319(x59683),x59682),f317(f252(x59683),x59681))) % 199.88/200.99 [6001]E(x60011,x60012)+~E(f317(f317(f299(x60013),x60011),f178(f905(x60013,a894))),f317(f317(f299(x60013),x60012),f178(f905(x60013,a894)))) % 199.88/200.99 [6017]~P109(x60171)+E(f317(f317(f92(f905(x60171,a894)),f317(f272(x60171),x60172)),f317(f292(x60171,x60172),x60173)),f178(f905(x60171,a894))) % 199.88/200.99 [6056]E(f130(x60561,x60562,x60563),x60563)+~P1(f317(f317(f319(x60561),x60562),f317(f162(x60561),x60563))) % 199.88/200.99 [6078]~P67(x60781)+E(f317(f300(x60781,x60781,f73(x60781)),f317(f292(x60781,x60782),x60783)),f295(x60781,f317(f73(x60781),x60783),f317(f73(x60781),x60782))) % 199.88/200.99 [6089]E(f317(f179(f899(x60891)),f160(x60891,x60892,x60893)),f317(f179(f899(x60891)),x60893))+P1(f317(f317(f319(x60891),x60892),f317(f162(x60891),x60893))) % 199.88/200.99 [6144]~P109(x61441)+E(f317(f317(f92(f905(x61441,a894)),f317(f292(x61441,x61442),x61443)),f317(f273(x61441),x61443)),f178(f905(x61441,a894))) % 199.88/200.99 [6164]~P67(x61641)+E(f317(f300(x61641,x61641,f73(x61641)),f296(x61641,x61642,x61643)),f296(x61641,f317(f73(x61641),x61643),f317(f73(x61641),x61642))) % 199.88/200.99 [6165]~P67(x61651)+E(f317(f300(x61651,x61651,f73(x61651)),f293(x61651,x61652,x61653)),f293(x61651,f317(f73(x61651),x61653),f317(f73(x61651),x61652))) % 199.88/200.99 [6231]E(f166(x62311,f317(f317(f141(x62311),x62312),f103(x62311)),x62313),f317(f317(f141(x62311),x62312),f103(x62311)))+~P1(f317(f317(f319(a898),f2(a898)),x62313)) % 199.88/200.99 [6236]P29(x62361,x62362,x62363)+~P30(a898,x62361,f129(a898,f317(f292(a898,x62362),x62363))) % 199.88/200.99 [6239]~P67(x62391)+E(f317(f300(x62391,x62391,f73(x62391)),f295(x62391,x62392,x62393)),f317(f292(x62391,f317(f73(x62391),x62393)),f317(f73(x62391),x62392))) % 199.88/200.99 [6261]~P4(x62611)+E(f40(x62611,f317(f73(x62611),f40(x62611,x62612,x62613)),x62613),f40(x62611,f317(f73(x62611),x62612),x62613)) % 199.88/200.99 [6360]~P1(f317(f28(f904(x63602,x63601)),x63603))+P1(f317(f28(x63601),f317(f274(x63602,x63601),x63603))) % 199.88/200.99 [6361]~P1(f317(f28(f904(x63611,x63612)),x63613))+P1(f317(f28(x63611),f317(f254(x63611,x63612),x63613))) % 199.88/200.99 [6366]~P109(x63661)+E(f317(f317(f92(f905(x63661,a894)),f296(x63661,x63662,x63663)),f317(f273(x63661),x63663)),f178(f905(x63661,a894))) % 199.88/200.99 [6367]~P109(x63671)+E(f317(f317(f92(f905(x63671,a894)),f295(x63671,x63672,x63673)),f317(f294(x63671),x63673)),f178(f905(x63671,a894))) % 199.88/200.99 [6368]~P109(x63681)+E(f317(f317(f92(f905(x63681,a894)),f293(x63681,x63682,x63683)),f317(f294(x63681),x63683)),f178(f905(x63681,a894))) % 199.88/200.99 [6441]E(f317(f317(f154(x64411),x64412),f632(x64412,x64413,x64411)),x64413)+~P1(f317(f317(f319(x64411),x64413),f317(f162(x64411),x64412))) % 199.88/200.99 [6589]E(x65891,f103(x65892))+~E(f317(f317(f317(f173(f899(x65892),f899(x65892)),x65893),f157(x65892)),x65891),f103(x65892)) % 199.88/200.99 [6695]~P1(f317(f28(f904(x66952,x66951)),x66953))+P1(f317(f28(f904(x66951,x66952)),f317(f276(x66952,x66951),x66953))) % 199.88/200.99 [6718]E(x67181,x67182)+~E(f280(a898,f277(a898),x67183,x67181),f317(f317(f299(a898),x67182),f178(f905(a898,a894)))) % 199.88/200.99 [6719]E(x67191,x67192)+~E(f280(a898,f277(a898),x67191,x67192),f317(f317(f299(a898),x67193),f178(f905(a898,a894)))) % 199.88/200.99 [6854]P55(x68541,x68542,x68543)+P1(f317(f317(f319(x68541),f586(x68543,x68542,x68541)),x68542)) % 199.88/200.99 [6855]P55(x68551,x68552,x68553)+P1(f317(f317(f319(x68551),f585(x68553,x68552,x68551)),x68552)) % 199.88/200.99 [6865]P1(f317(f305(x68651,x68652),x68653))+P1(f317(f317(x68652,f878(x68653,x68652,x68651)),x68653)) % 199.88/200.99 [6866]P1(f317(f305(x68661,x68662),x68663))+P1(f317(f317(x68662,f885(x68663,x68662,x68661)),x68663)) % 199.88/200.99 [6897]E(f317(f179(f899(x68971)),f160(x68971,x68972,x68973)),f317(f317(f23(a898),f317(f179(f899(x68971)),x68973)),f72(a898)))+~P1(f317(f317(f319(x68971),x68972),f317(f162(x68971),x68973))) % 199.88/200.99 [6936]P1(f317(f238(x69361,x69362),x69363))+P1(f317(f317(f319(x69361),f549(x69363,x69362,x69361)),x69363)) % 199.88/200.99 [6945]~P1(f317(f28(f904(x69452,x69451)),f317(f276(x69451,x69452),x69453)))+P1(f317(f28(f904(x69451,x69452)),x69453)) % 199.88/200.99 [7005]~P1(f317(f317(f319(x70051),x70052),f317(f162(x70051),f104(x70051,x70053))))+P1(f317(f317(f319(x70051),x70052),f317(f162(x70051),x70053))) % 199.88/200.99 [7041]E(f317(f126(x70411,x70412),x70413),x70413)+P1(f317(f317(f319(x70411),f650(x70413,x70412,x70411)),f317(f162(x70411),x70413))) % 199.88/200.99 [7057]E(f317(f126(x70571,x70572),x70573),f103(x70571))+P1(f317(f317(f319(x70571),f649(x70573,x70572,x70571)),f317(f162(x70571),x70573))) % 199.88/200.99 [7082]P30(x70821,x70822,x70823)+P1(f317(f317(f319(x70821),f735(x70823,x70822,x70821)),f317(f162(x70821),x70823))) % 199.88/200.99 [7083]P30(x70831,x70832,x70833)+P1(f317(f317(f319(x70831),f743(x70833,x70832,x70831)),f317(f162(x70831),x70833))) % 199.88/200.99 [7084]P30(x70841,x70842,x70843)+P1(f317(f317(f319(x70841),f742(x70842,x70843,x70841)),f317(f162(x70841),x70843))) % 199.88/200.99 [7087]E(f167(x70871,x70872,x70873),x70873)+P1(f317(f317(f319(x70871),f695(x70873,x70872,x70871)),f317(f162(x70871),x70873))) % 199.88/200.99 [7163]P1(f317(f150(x71631,x71632),x71633))+P1(f317(f317(f319(x71631),f651(x71633,x71632,x71631)),f317(f162(x71631),x71633))) % 199.88/200.99 [7172]~P32(x71721,x71723,x71722)+P1(f317(f317(f319(x71721),f728(x71722,x71723,x71721)),f317(f162(x71721),x71722))) % 199.88/200.99 [7173]~P34(x71731,x71733,x71732)+P1(f317(f317(f319(x71731),f734(x71732,x71733,x71731)),f317(f162(x71731),x71732))) % 199.88/200.99 [7174]~P34(x71741,x71743,x71742)+P1(f317(f317(f319(x71741),f744(x71742,x71743,x71741)),f317(f162(x71741),x71742))) % 199.88/200.99 [7175]~P32(x71751,x71753,x71752)+P1(f317(f317(f319(x71751),f773(x71752,x71753,x71751)),f317(f162(x71751),x71752))) % 199.88/200.99 [7176]~P32(x71761,x71762,x71763)+P1(f317(f317(f319(x71761),f775(x71762,x71763,x71761)),f317(f162(x71761),x71763))) % 199.88/200.99 [7210]P1(f317(f317(f319(x72101),x72102),f613(x72103,x72102,x72101)))+~P1(f317(f317(f319(x72101),x72102),f31(f905(x72101,a894),x72103))) % 199.88/200.99 [7211]~P77(x72111)+E(f317(f317(f74(x72111),f317(f317(f6(a898,x72111),x72112),f317(f272(a898),x72113))),f317(x72112,x72113)),f317(f317(f6(a898,x72111),x72112),f317(f272(a898),f317(a102,x72113)))) % 199.88/200.99 [7223]P29(x72231,x72232,x72233)+P1(f317(f317(f319(a898),f831(x72233,x72232,x72231)),f317(f292(a898,x72232),x72233))) % 199.88/200.99 [7303]~P32(x73032,x73031,x73033)+P1(f317(x73031,f317(f317(f154(x73032),x73033),f731(x73033,x73031,x73032)))) % 199.88/200.99 [7314]~P1(f317(f317(f319(x73141),x73142),f573(x73142,x73143,x73141)))+P1(f317(f317(f319(x73141),x73142),f32(f905(x73141,a894),x73143))) % 199.88/200.99 [7347]~P77(x73471)+E(f317(f317(f74(x73471),f317(f317(f6(a898,x73471),x73472),f317(f291(a898),x73473))),f317(x73472,f317(a102,x73473))),f317(f317(f6(a898,x73471),x73472),f317(f291(a898),f317(a102,x73473)))) % 199.88/200.99 [7488]P1(f317(f317(f319(f899(x74881)),x74882),f151(x74881,x74883)))+P1(f317(f317(f319(x74881),f636(x74883,x74882,x74881)),f317(f162(x74881),x74882))) % 199.88/200.99 [7504]~P1(f317(f317(f319(f899(x75041)),x75042),f151(x75041,f306(x75041,x75043))))+P1(f317(f317(f319(f899(x75041)),x75042),f306(f899(x75041),f147(x75041,x75043)))) % 199.88/200.99 [7528]~P1(f317(f317(f319(f899(x75281)),x75282),f306(f899(x75281),f147(x75281,x75283))))+P1(f317(f317(f319(f899(x75281)),x75282),f151(x75281,f306(x75281,x75283)))) % 199.88/200.99 [7560]E(f317(f317(f317(f173(f899(x75601),f899(x75601)),x75602),f157(x75601)),x75603),x75603)+~P1(f317(f317(f225(a898),f317(f179(f899(x75601)),x75603)),f72(a898))) % 199.88/200.99 [7593]E(f317(f317(f124(x75931),f737(x75932,x75933,x75931)),f317(f317(f141(x75931),x75933),f739(x75932,x75933,x75931))),x75932)+~P1(f317(f317(f319(x75931),x75933),f317(f162(x75931),x75932))) % 199.88/200.99 [7594]E(f317(f317(f124(x75941),f732(x75942,x75943,x75941)),f317(f317(f141(x75941),x75943),f733(x75942,x75943,x75941))),x75942)+~P1(f317(f317(f319(x75941),x75943),f317(f162(x75941),x75942))) % 199.88/200.99 [7595]E(f317(f317(f124(x75951),f740(x75952,x75953,x75951)),f317(f317(f141(x75951),x75953),f741(x75952,x75953,x75951))),x75952)+~P1(f317(f317(f319(x75951),x75953),f317(f162(x75951),x75952))) % 199.88/200.99 [7616]~P24(x76161,x76162,x76163,f232(f905(x76161,a894)))+P24(f899(x76161),f899(x76162),f317(f144(x76161,x76162),x76163),f232(f905(f899(x76161),a894))) % 199.88/200.99 [7769]E(x77691,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),x77692)),x77693)),f317(f246(a898,a898),x77692)))+~P1(f317(f43(x77691,x77693),x77692)) % 199.88/200.99 [7777]P24(x77771,x77772,x77773,f232(f905(x77771,a894)))+~P24(f899(x77771),f899(x77772),f317(f144(x77771,x77772),x77773),f232(f905(f899(x77771),a894))) % 199.88/200.99 [7822]P1(f317(f317(f319(f905(x78221,a894)),f573(x78222,x78223,x78221)),x78223))+P1(f317(f317(f319(x78221),x78222),f32(f905(x78221,a894),x78223))) % 199.88/200.99 [7913]P1(f317(f317(f319(f899(x79131)),x79132),f151(x79131,x79133)))+~P1(f317(f317(f319(x79131),f636(x79133,x79132,x79131)),x79133)) % 199.88/200.99 [8014]P30(x80141,x80142,x80143)+~P1(f317(x80142,f317(f317(f154(x80141),x80143),f736(x80143,x80142,x80141)))) % 199.88/200.99 [8039]E(x80391,x80392)+~E(f317(f317(f7(x80393,f905(x80393,a894),a894),f319(x80393)),x80391),f317(f317(f7(x80393,f905(x80393,a894),a894),f319(x80393)),x80392)) % 199.88/200.99 [8047]~P1(f317(f317(f319(f904(x80471,x80471)),x80473),f253(x80471,x80472)))+P1(f317(f317(f319(x80471),f418(x80472,x80473,x80471)),x80472)) % 199.88/200.99 [8049]~P1(f317(f317(f319(x80491),x80493),f31(f905(x80491,a894),x80492)))+P1(f317(f317(f319(f905(x80491,a894)),f613(x80492,x80493,x80491)),x80492)) % 199.88/200.99 [8168]P24(x81681,x81682,f85(x81682,x81681,f232(f905(x81682,a894)),x81683),f232(f905(x81681,a894)))+~E(f317(f300(x81682,x81681,x81683),f232(f905(x81682,a894))),f232(f905(x81681,a894))) % 199.88/200.99 [8222]~P1(f317(f317(f319(x82221),x82222),f317(f162(x82221),f732(x82223,x82222,x82221))))+~P1(f317(f317(f319(x82221),x82222),f317(f162(x82221),x82223))) % 199.88/200.99 [8223]~P1(f317(f317(f319(x82231),x82232),f317(f162(x82231),f741(x82233,x82232,x82231))))+~P1(f317(f317(f319(x82231),x82232),f317(f162(x82231),x82233))) % 199.88/200.99 [8252]P29(f317(f67(a894,a894,a898,a312),x82521),x82522,x82523)+P32(a898,x82521,f129(a898,f317(f292(a898,x82522),x82523))) % 199.88/200.99 [8413]E(x84131,f103(x84132))+P1(f317(f317(f319(x84132),f317(f241(x84132,f904(a89,a89)),f317(f265(x84132,x84131),x84133))),f317(f162(x84132),x84131))) % 199.88/200.99 [8512]~P71(x85121)+E(f317(f132(x85121,x85121,f317(f7(x85121,x85121,x85121),f74(x85121)),x85122),f317(f158(x85121),x85123)),f317(f132(x85121,x85121,f74(x85121),x85122),x85123)) % 199.88/200.99 [8704]~P24(x87042,x87041,x87043,f232(f905(x87042,a894)))+E(f317(f300(x87041,x87042,f85(x87042,x87041,f232(f905(x87042,a894)),x87043)),f232(f905(x87041,a894))),f232(f905(x87042,a894))) % 199.88/200.99 [8774]~P29(f317(f67(a894,a894,a898,a312),x87741),x87742,x87743)+~P32(a898,x87741,f129(a898,f317(f292(a898,x87742),x87743))) % 199.88/200.99 [9021]~P108(x90211)+E(f317(f162(x90211),f139(x90211,x90211,f5(x90211),x90212,x90213)),f317(f317(f299(x90211),x90212),f317(f162(x90211),x90213))) % 199.88/200.99 [9030]~E(f317(x90303,f317(f85(x90301,x90302,f232(f905(x90301,a894)),x90303),f788(x90303,x90302,x90301))),f788(x90303,x90302,x90301))+E(f317(f300(x90301,x90302,x90303),f232(f905(x90301,a894))),f232(f905(x90302,a894))) % 199.88/200.99 [9032]P1(f317(f317(f226(a898),f2(a898)),f589(x90321,x90322,x90323)))+~P1(f317(f317(f319(f904(x90323,x90323)),x90322),f317(f317(f279(x90323,x90323,x90323),x90321),f297(x90323,x90321)))) % 199.88/200.99 [9310]~P57(x93101,x93102)+~P1(f317(f317(f319(f904(x93101,x93101)),f317(f317(f242(x93101,x93101),x93103),x93103)),f317(f317(f279(x93101,x93101,x93101),x93102),f297(x93101,x93102)))) % 199.88/200.99 [9449]~E(f317(f317(f92(f905(f904(x94491,x94491),a894)),f317(f276(x94491,x94491),x94492)),f297(x94491,x94492)),f178(f905(f904(x94491,x94491),a894)))+~P1(f317(f317(f319(f904(x94491,x94491)),f317(f317(f242(x94491,x94491),x94493),x94493)),f317(f317(f279(x94491,x94491,x94491),x94492),f297(x94491,x94492)))) % 199.88/200.99 [9640]~P1(f317(f28(x96401),x96402))+P1(f317(f317(f225(a898),f317(f29(x96401),f317(f317(f23(f905(x96401,a894)),x96402),f317(f317(f299(x96401),x96403),f178(f905(x96401,a894)))))),f317(f29(x96401),x96402))) % 199.88/200.99 [5123]~E(x51233,f103(x51231))+E(f134(x51231,f317(f317(f141(x51231),x51232),x51233)),x51232) % 199.88/200.99 [5132]~E(x51323,f103(x51321))+E(f104(x51321,f317(f317(f141(x51321),x51322),x51323)),f103(x51321)) % 199.88/200.99 [5162]E(x51621,f103(x51622))+E(f134(x51622,f317(f317(f141(x51622),x51623),x51621)),f134(x51622,x51621)) % 199.88/200.99 [5164]E(x51641,f103(x51642))+E(f134(x51642,f317(f317(f124(x51642),x51643),x51641)),f134(x51642,x51641)) % 199.88/200.99 [5170]~E(x51703,f103(x51701))+E(f104(x51701,f317(f317(f124(x51701),x51702),x51703)),f104(x51701,x51702)) % 199.88/200.99 [5172]~E(x51723,f103(x51721))+E(f134(x51721,f317(f317(f124(x51721),x51722),x51723)),f134(x51721,x51722)) % 199.88/200.99 [5205]E(x52051,f103(x52052))+E(f317(f131(x52052),f317(f317(f124(x52052),x52051),x52053)),f317(f131(x52052),x52051)) % 199.88/200.99 [5233]~E(x52332,f103(x52331))+E(f317(f131(x52331),f317(f317(f124(x52331),x52332),x52333)),f317(f131(x52331),x52333)) % 199.88/200.99 [5285]~P108(x52851)+E(f317(f317(f229(x52851),x52852),f317(f317(f224(x52851),x52852),x52853)),x52852) % 199.88/200.99 [5286]~P108(x52861)+E(f317(f317(f224(x52861),x52862),f317(f317(f229(x52861),x52862),x52863)),x52862) % 199.88/200.99 [5287]~P98(x52871)+E(f317(f317(f91(x52871),x52872),f317(f317(f92(x52871),x52872),x52873)),x52872) % 199.88/200.99 [5288]~P98(x52881)+E(f317(f317(f92(x52881),x52882),f317(f317(f91(x52881),x52882),x52883)),x52882) % 199.88/200.99 [5307]~P3(x53071)+E(f40(x53071,f317(f317(f75(x53071),x53072),x53073),x53073),f2(x53071)) % 199.88/200.99 [5308]~P3(x53081)+E(f40(x53081,f317(f317(f75(x53081),x53082),x53083),x53082),f2(x53081)) % 199.88/200.99 [5376]~P68(x53761)+E(f317(f73(x53761),f317(f317(f23(x53761),x53762),x53763)),f317(f317(f23(x53761),x53763),x53762)) % 199.88/200.99 [5439]E(x54391,f103(x54392))+E(f104(x54392,f317(f317(f141(x54392),x54393),x54391)),f317(f317(f141(x54392),x54393),f104(x54392,x54391))) % 199.88/200.99 [5440]E(x54401,f103(x54402))+E(f104(x54402,f317(f317(f124(x54402),x54403),x54401)),f317(f317(f124(x54402),x54403),f104(x54402,x54401))) % 199.88/200.99 [5443]~P5(x54431)+E(f32(x54431,f317(f317(f299(x54431),x54432),x54433)),f317(f317(f92(x54431),x54432),f32(x54431,x54433))) % 199.88/200.99 [5444]~P5(x54441)+E(f31(x54441,f317(f317(f299(x54441),x54442),x54443)),f317(f317(f91(x54441),x54442),f31(x54441,x54443))) % 199.88/200.99 [5490]~P97(x54901)+E(f317(f317(f75(x54901),x54902),f317(f317(f75(x54901),x54902),x54903)),f317(f317(f75(x54901),x54902),x54903)) % 199.88/200.99 [5492]~P108(x54921)+E(f317(f317(f229(x54921),x54922),f317(f317(f229(x54921),x54922),x54923)),f317(f317(f229(x54921),x54922),x54923)) % 199.88/200.99 [5494]~P108(x54941)+E(f317(f317(f224(x54941),x54942),f317(f317(f224(x54941),x54942),x54943)),f317(f317(f224(x54941),x54942),x54943)) % 199.88/200.99 [5495]~P98(x54951)+E(f317(f317(f91(x54951),x54952),f317(f317(f91(x54951),x54952),x54953)),f317(f317(f91(x54951),x54952),x54953)) % 199.88/200.99 [5497]~P103(x54971)+E(f317(f317(f91(x54971),x54972),f317(f317(f91(x54971),x54972),x54973)),f317(f317(f91(x54971),x54972),x54973)) % 199.88/200.99 [5498]~P98(x54981)+E(f317(f317(f92(x54981),x54982),f317(f317(f92(x54981),x54982),x54983)),f317(f317(f92(x54981),x54982),x54983)) % 199.88/200.99 [5500]~P104(x55001)+E(f317(f317(f92(x55001),x55002),f317(f317(f92(x55001),x55002),x55003)),f317(f317(f92(x55001),x55002),x55003)) % 199.88/200.99 [5507]~P3(x55071)+E(f40(x55071,f317(f317(f74(x55071),x55072),x55073),x55073),f40(x55071,x55072,x55073)) % 199.88/200.99 [5508]~P3(x55081)+E(f40(x55081,f317(f317(f74(x55081),x55082),x55083),x55082),f40(x55081,x55083,x55082)) % 199.88/200.99 [5517]~P140(x55171)+E(f317(f317(f75(x55171),x55172),f317(f73(x55171),x55173)),f317(f73(x55171),f317(f317(f75(x55171),x55172),x55173))) % 199.88/200.99 [5518]~P61(x55181)+E(f317(f317(f281(x55181),x55182),f317(f73(x55181),x55183)),f317(f73(x55181),f317(f317(f281(x55181),x55182),x55183))) % 199.88/200.99 [5519]~P81(x55191)+E(f317(f317(f74(x55191),x55192),f317(f155(x55191),x55193)),f317(f155(x55191),f317(f317(f141(x55191),x55192),x55193))) % 199.88/200.99 [5547]~P140(x55471)+E(f317(f317(f75(x55471),f317(f73(x55471),x55472)),x55473),f317(f317(f75(x55471),x55472),f317(f73(x55471),x55473))) % 199.88/200.99 [5553]~P8(x55531,x55532,x55533)+E(f31(f905(x55531,a894),f317(f317(f55(x55531),x55532),x55533)),x55532) % 199.88/200.99 [5619]~P115(x56191)+E(f317(f317(f75(x56191),x56192),f317(f317(f234(x56191),x56192),x56193)),f317(f317(f234(x56191),x56192),f317(a102,x56193))) % 199.88/200.99 [5620]~P112(x56201)+E(f317(f317(f75(x56201),x56202),f317(f317(f234(x56201),x56202),x56203)),f317(f317(f234(x56201),x56202),f317(a102,x56203))) % 199.88/200.99 [5630]~P76(x56301)+E(f317(f317(f74(x56301),f317(f73(x56301),x56302)),f317(f317(f74(x56301),x56302),x56303)),x56303) % 199.88/200.99 [5653]~P144(x56531)+E(f317(f317(f234(x56531),f317(f90(x56531),x56532)),x56533),f317(f90(x56531),f317(f317(f234(a898),x56532),x56533))) % 199.88/200.99 [5654]~P128(x56541)+E(f317(f317(f234(x56541),f317(f93(x56541),x56542)),x56543),f317(f93(x56541),f317(f317(f234(a1),x56542),x56543))) % 199.88/200.99 [5660]~P85(x56601)+E(f317(f70(x56601),f317(f317(f23(x56601),x56602),x56603)),f317(f70(x56601),f317(f317(f23(x56601),x56603),x56602))) % 199.88/200.99 [5662]~P111(x56621)+E(f317(f317(f75(x56621),f76(x56621,x56622)),f76(x56621,x56623)),f76(x56621,f317(f317(f75(x56621),x56622),x56623))) % 199.88/200.99 [5666]E(x56661,f103(x56662))+E(f317(f317(f124(x56662),f317(f161(x56662),x56661)),x56663),f317(f161(x56662),f317(f317(f124(x56662),x56661),x56663))) % 199.88/200.99 [5672]~E(x56722,f317(a102,f317(f317(f74(a898),x56721),x56723)))+P1(f317(f317(f226(a898),x56721),x56722)) % 199.88/200.99 [5673]~P111(x56731)+E(f317(f317(f234(x56731),f317(f70(x56731),x56732)),x56733),f317(f70(x56731),f317(f317(f234(x56731),x56732),x56733))) % 199.88/200.99 [5674]~P140(x56741)+E(f317(f317(f75(x56741),f317(f73(x56741),x56742)),x56743),f317(f73(x56741),f317(f317(f75(x56741),x56742),x56743))) % 199.88/200.99 [5675]~P122(x56751)+E(f317(f317(f281(x56751),f317(f73(x56751),x56752)),x56753),f317(f73(x56751),f317(f317(f281(x56751),x56752),x56753))) % 199.88/200.99 [5773]E(f411(x57731,x57732,x57733),f428(x57731,x57732,x57733))+E(f317(f317(f92(f905(x57733,a894)),x57732),x57731),f178(f905(x57733,a894))) % 199.88/200.99 [5788]~P78(x57882)+E(f317(f317(f9(x57881,x57882),f317(f16(x57882,x57881),f72(x57882))),x57883),f72(x57882)) % 199.88/200.99 [5789]~P77(x57892)+E(f317(f317(f6(x57891,x57892),f317(f16(x57892,x57891),f2(x57892))),x57893),f2(x57892)) % 199.88/200.99 [5791]~P93(x57911)+E(f317(f317(f23(x57911),f317(f94(x57911),x57912)),f317(f94(x57911),x57913)),f317(f94(x57911),f317(f317(f23(a1),x57912),x57913))) % 199.88/200.99 [5794]~P144(x57941)+E(f317(f317(f74(x57941),f317(f90(x57941),x57942)),f317(f90(x57941),x57943)),f317(f90(x57941),f317(f317(f74(a898),x57942),x57943))) % 199.88/200.99 [5795]~P144(x57951)+E(f317(f317(f75(x57951),f317(f90(x57951),x57952)),f317(f90(x57951),x57953)),f317(f90(x57951),f317(f317(f75(a898),x57952),x57953))) % 199.88/200.99 [5796]~P128(x57961)+E(f317(f317(f23(x57961),f317(f93(x57961),x57962)),f317(f93(x57961),x57963)),f317(f93(x57961),f317(f317(f23(a1),x57962),x57963))) % 199.88/200.99 [5797]~P128(x57971)+E(f317(f317(f74(x57971),f317(f93(x57971),x57972)),f317(f93(x57971),x57973)),f317(f93(x57971),f317(f317(f74(a1),x57972),x57973))) % 199.88/200.99 [5798]~P128(x57981)+E(f317(f317(f75(x57981),f317(f93(x57981),x57982)),f317(f93(x57981),x57983)),f317(f93(x57981),f317(f317(f75(a1),x57982),x57983))) % 199.88/200.99 [5799]~P93(x57991)+E(f317(f317(f74(x57991),f317(f94(x57991),x57992)),f317(f94(x57991),x57993)),f317(f94(x57991),f317(f317(f74(a1),x57992),x57993))) % 199.88/200.99 [5800]~P93(x58001)+E(f317(f317(f75(x58001),f317(f94(x58001),x58002)),f317(f94(x58001),x58003)),f317(f94(x58001),f317(f317(f75(a1),x58002),x58003))) % 199.88/200.99 [5848]~E(x58483,x58482)+P1(f317(f317(f225(f905(x58481,a894)),x58482),x58483)) % 199.88/200.99 [5854]~E(x58542,x58543)+P1(f317(f317(f225(f905(x58541,a894)),x58542),x58543)) % 199.88/200.99 [5859]~P111(x58591)+E(f317(f317(f75(x58591),f317(f70(x58591),x58592)),f317(f70(x58591),x58593)),f317(f70(x58591),f317(f317(f75(x58591),x58592),x58593))) % 199.88/200.99 [5860]~P63(x58601)+E(f317(f317(f281(x58601),f317(f70(x58601),x58602)),f317(f70(x58601),x58603)),f317(f70(x58601),f317(f317(f281(x58601),x58602),x58603))) % 199.88/200.99 [5861]~P76(x58611)+E(f317(f317(f74(x58611),f317(f73(x58611),x58612)),f317(f73(x58611),x58613)),f317(f73(x58611),f317(f317(f74(x58611),x58613),x58612))) % 199.88/200.99 [5862]~P68(x58621)+E(f317(f317(f74(x58621),f317(f73(x58621),x58622)),f317(f73(x58621),x58623)),f317(f73(x58621),f317(f317(f74(x58621),x58622),x58623))) % 199.88/200.99 [5863]~P79(x58631)+E(f317(f317(f224(x58631),f317(f73(x58631),x58632)),f317(f73(x58631),x58633)),f317(f73(x58631),f317(f317(f229(x58631),x58632),x58633))) % 199.88/200.99 [5864]~P79(x58641)+E(f317(f317(f229(x58641),f317(f73(x58641),x58642)),f317(f73(x58641),x58643)),f317(f73(x58641),f317(f317(f224(x58641),x58642),x58643))) % 199.88/200.99 [5865]~P96(x58651)+E(f317(f317(f92(x58651),f317(f73(x58651),x58652)),f317(f73(x58651),x58653)),f317(f73(x58651),f317(f317(f91(x58651),x58652),x58653))) % 199.88/200.99 [5866]~P96(x58661)+E(f317(f317(f91(x58661),f317(f73(x58661),x58662)),f317(f73(x58661),x58663)),f317(f73(x58661),f317(f317(f92(x58661),x58662),x58663))) % 199.88/200.99 [5867]~P81(x58671)+E(f317(f317(f74(x58671),f317(f155(x58671),x58672)),f317(f155(x58671),x58673)),f317(f155(x58671),f317(f317(f124(x58671),x58672),x58673))) % 199.88/200.99 [5868]E(x58681,f178(f905(x58682,a894)))+~E(f317(f317(f91(f905(x58682,a894)),x58683),x58681),f178(f905(x58682,a894))) % 199.88/200.99 [5869]E(x58691,f178(f905(x58692,a894)))+~E(f317(f317(f91(f905(x58692,a894)),x58691),x58693),f178(f905(x58692,a894))) % 199.88/200.99 [5870]~P148(x58701,x58703,x58702)+P1(f317(x58701,f317(f317(f30(a1),x58702),x58703))) % 199.88/200.99 [5935]~P1(f317(f28(x59351),x59353))+P1(f317(f28(x59351),f317(f317(f299(x59351),x59352),x59353))) % 199.88/200.99 [5936]~P1(f317(f127(x59361),x59363))+P1(f317(f127(x59361),f317(f317(f165(x59361),x59362),x59363))) % 199.88/200.99 [5937]~P1(f317(f127(x59371),x59373))+P1(f317(f127(x59371),f317(f317(f128(x59371),x59372),x59373))) % 199.88/200.99 [5969]~P108(x59691)+P1(f317(f317(f225(x59691),x59692),f317(f317(f224(x59691),x59693),x59692))) % 199.88/200.99 [5970]~P108(x59701)+P1(f317(f317(f225(x59701),x59702),f317(f317(f224(x59701),x59702),x59703))) % 199.88/200.99 [5971]~P98(x59711)+P1(f317(f317(f225(x59711),x59712),f317(f317(f91(x59711),x59713),x59712))) % 199.88/200.99 [5972]~P103(x59721)+P1(f317(f317(f225(x59721),x59722),f317(f317(f91(x59721),x59723),x59722))) % 199.88/200.99 [5973]~P98(x59731)+P1(f317(f317(f225(x59731),x59732),f317(f317(f91(x59731),x59732),x59733))) % 199.88/200.99 [5974]~P103(x59741)+P1(f317(f317(f225(x59741),x59742),f317(f317(f91(x59741),x59742),x59743))) % 199.88/200.99 [5975]~P112(x59751)+P1(f317(f317(f277(x59751),x59752),f317(f317(f75(x59751),x59753),x59752))) % 199.88/200.99 [5976]~P112(x59761)+P1(f317(f317(f277(x59761),x59762),f317(f317(f75(x59761),x59762),x59763))) % 199.88/200.99 [5990]~E(x59901,f2(a898))+E(f317(f317(f30(a898),f317(f317(f75(a898),x59901),x59902)),f317(f317(f75(a898),x59901),x59903)),f2(a898)) % 199.88/200.99 [6072]~P93(x60721)+E(f317(f317(f23(x60721),f317(f94(x60721),x60722)),f317(f94(x60721),x60723)),f317(f94(x60721),f317(f317(f74(a1),x60722),f317(f73(a1),x60723)))) % 199.88/200.99 [6132]E(x61321,f2(a898))+E(f317(f317(f30(a898),f317(f317(f75(a898),x61321),x61322)),f317(f317(f75(a898),x61321),x61323)),f317(f317(f30(a898),x61322),x61323)) % 199.88/200.99 [6162]E(f142(x61621,f317(f317(f141(x61621),x61622),x61623)),f317(f317(f141(x61621),x61622),f142(x61621,x61623)))+P1(f317(f317(f319(x61621),x61622),f317(f162(x61621),x61623))) % 199.88/200.99 [6198]P148(x61981,x61982,x61983)+~P1(f317(x61981,f317(f317(f30(a1),x61983),x61982))) % 199.88/200.99 [6274]E(x62741,f103(x62742))+E(f317(f317(f141(x62742),f317(f131(x62742),x62741)),f317(f317(f165(x62742),x62743),f317(f161(x62742),x62741))),f317(f317(f165(x62742),f317(a102,x62743)),x62741)) % 199.88/200.99 [6283]E(f317(f317(f23(f905(x62831,a894)),x62832),x62833),x62832)+~E(f317(f317(f92(f905(x62831,a894)),x62832),x62833),f178(f905(x62831,a894))) % 199.88/200.99 [6297]E(f142(x62971,f317(f317(f141(x62971),x62972),x62973)),f142(x62971,x62973))+~P1(f317(f317(f319(x62971),x62972),f317(f162(x62971),x62973))) % 199.88/200.99 [6328]~P1(f317(f317(f225(a898),x63281),x63283))+P1(f317(f317(f225(a898),x63281),f317(f317(f74(a898),x63282),x63283))) % 199.88/200.99 [6330]~P1(f317(f317(f225(a898),x63301),x63302))+P1(f317(f317(f225(a898),x63301),f317(f317(f74(a898),x63302),x63303))) % 199.88/200.99 [6332]~P1(f317(f317(f226(a898),x63321),x63323))+P1(f317(f317(f226(a898),x63321),f317(f317(f74(a898),x63322),x63323))) % 199.88/200.99 [6334]~P1(f317(f317(f226(a898),x63341),x63342))+P1(f317(f317(f226(a898),x63341),f317(f317(f74(a898),x63342),x63343))) % 199.88/200.99 [6374]P1(f317(f28(x63741),x63742))+~P1(f317(f28(x63741),f317(f317(f299(x63741),x63743),x63742))) % 199.88/200.99 [6375]P1(f317(f127(x63751),x63752))+~P1(f317(f127(x63751),f317(f317(f141(x63751),x63753),x63752))) % 199.88/200.99 [6376]P1(f317(f127(x63761),x63762))+~P1(f317(f127(x63761),f317(f317(f124(x63761),x63763),x63762))) % 199.88/200.99 [6377]P1(f317(f127(x63771),x63772))+~P1(f317(f127(x63771),f317(f317(f124(x63771),x63772),x63773))) % 199.88/200.99 [6431]~P112(x64311)+E(f317(f317(f74(x64311),x64312),f317(f317(f75(x64311),x64313),x64312)),f317(f317(f75(x64311),f317(f317(f74(x64311),x64313),f72(x64311))),x64312)) % 199.88/200.99 [6478]~E(x64781,x64782)+~P1(f317(f317(f226(f905(x64783,a894)),x64781),x64782)) % 199.88/200.99 [6524]P1(f317(f317(f319(x65241),x65242),x65243))+P1(f317(f317(f319(x65241),x65242),f317(f73(f905(x65241,a894)),x65243))) % 199.88/200.99 [6530]E(f134(x65301,f317(f317(f128(x65301),x65302),x65303)),f134(x65301,x65303))+~P1(f317(f317(f226(a898),x65302),f317(f179(f899(x65301)),x65303))) % 199.88/200.99 [6531]E(f317(f317(f165(x65311),x65312),f104(x65311,x65313)),f317(f317(f165(x65311),x65312),x65313))+~P1(f317(f317(f226(a898),x65312),f317(f179(f899(x65311)),x65313))) % 199.88/200.99 [6591]E(f317(f317(f317(f173(f899(x65911),f899(x65911)),x65912),f157(x65911)),x65913),x65913)+~E(f40(a898,x65912,f317(f179(f899(x65911)),x65913)),f2(a898)) % 199.88/200.99 [6598]~P8(x65981,x65983,x65982)+E(f317(f317(f279(x65981,x65981,x65981),f317(f276(x65981,x65981),x65982)),x65982),x65982) % 199.88/200.99 [6641]~E(f317(f317(f91(f905(x66411,a894)),x66412),x66413),x66413)+P1(f317(f317(f225(f905(x66411,a894)),x66412),x66413)) % 199.88/200.99 [6646]~P54(x66461,x66461,x66463)+P54(x66461,x66461,f317(f317(f173(f904(x66461,x66461),a894),x66462),x66463)) % 199.88/200.99 [6649]~P1(f317(f317(f319(x66491),x66493),f317(f162(x66491),x66492)))+P1(f317(f317(f226(a898),f2(a898)),f317(f179(f899(x66491)),x66492))) % 199.88/200.99 [6677]~P85(x66771)+E(f317(f70(x66771),f317(f317(f74(x66771),f317(f70(x66771),x66772)),f317(f70(x66771),x66773))),f317(f317(f74(x66771),f317(f70(x66771),x66772)),f317(f70(x66771),x66773))) % 199.88/200.99 [6688]E(f317(f317(f30(a898),f317(f317(f75(a898),x66881),x66882)),f317(f317(f75(a898),x66881),x66883)),f317(f317(f30(a898),x66882),x66883))+~P1(f317(f317(f226(a898),f2(a898)),x66881)) % 199.88/200.99 [6831]~P1(f317(f28(x68311),x68313))+E(f317(f317(f58(x68311,f905(x68311,a894),f299(x68311)),x68312),x68313),f317(f317(f91(f905(x68311,a894)),x68313),x68312)) % 199.88/200.99 [6890]E(f317(f317(f91(f905(x68901,a894)),x68902),x68903),x68902)+~P1(f317(f317(f225(f905(x68901,a894)),x68903),x68902)) % 199.88/200.99 [6892]E(f317(f317(f91(f905(x68921,a894)),x68922),x68923),x68923)+~P1(f317(f317(f225(f905(x68921,a894)),x68922),x68923)) % 199.88/200.99 [6893]E(f317(f317(f92(f905(x68931,a894)),x68932),x68933),x68933)+~P1(f317(f317(f225(f905(x68931,a894)),x68933),x68932)) % 199.88/200.99 [6894]E(f317(f317(f92(f905(x68941,a894)),x68942),x68943),x68942)+~P1(f317(f317(f225(f905(x68941,a894)),x68942),x68943)) % 199.88/200.99 [6943]~P1(f317(f127(x69431),x69432))+E(f317(f317(f23(f905(x69431,a894)),f317(f162(x69431),x69432)),f317(f317(f299(x69431),x69433),f178(f905(x69431,a894)))),f317(f162(x69431),f160(x69431,x69433,x69432))) % 199.88/200.99 [7000]P36(x70001,x70002)+~P36(x70001,f317(f317(f173(f904(x70001,x70001),a894),x70003),x70002)) % 199.88/200.99 [7018]~E(x70181,f2(a898))+P1(f317(f317(f277(a898),f317(f317(f75(a898),x70181),x70182)),f317(f317(f75(a898),x70181),x70183))) % 199.88/200.99 [7069]P1(f317(f44(x70691,x70692),f317(a46,x70693)))+~P1(f317(f44(f317(f73(a1),x70691),f317(f73(a1),x70692)),x70693)) % 199.88/200.99 [7074]E(f317(f317(f23(f905(x70741,a894)),f317(f317(f299(x70741),x70742),x70743)),f317(f317(f299(x70741),x70742),f178(f905(x70741,a894)))),x70743)+P1(f317(f317(f319(x70741),x70742),x70743)) % 199.88/200.99 [7096]E(f317(f317(f92(f905(x70961,a894)),f317(f162(x70961),x70962)),f317(f162(x70961),x70963)),f178(f905(x70961,a894)))+~P1(f317(f127(x70961),f317(f317(f124(x70961),x70962),x70963))) % 199.88/200.99 [7111]~P1(f317(f317(f319(x71111),x71112),f317(f162(x71111),x71113)))+~P1(f317(f127(x71111),f317(f317(f141(x71111),x71112),x71113))) % 199.88/200.99 [7182]P30(x71821,x71822,x71823)+P1(f317(f317(f226(a898),f736(x71823,x71822,x71821)),f317(f179(f899(x71821)),x71823))) % 199.88/200.99 [7192]E(f317(f317(f92(f905(x71921,a894)),x71922),x71923),f178(f905(x71921,a894)))+P1(f317(f317(f319(x71921),f411(x71923,x71922,x71921)),x71922)) % 199.88/200.99 [7193]E(f317(f317(f92(f905(x71931,a894)),x71932),x71933),f178(f905(x71931,a894)))+P1(f317(f317(f319(x71931),f428(x71933,x71932,x71931)),x71933)) % 199.88/200.99 [7196]E(f104(x71961,f317(f317(f165(x71961),x71962),x71963)),f317(f317(f165(x71961),f317(f317(f23(a898),x71962),f72(a898))),x71963))+~P1(f317(f317(f225(a898),x71962),f317(f179(f899(x71961)),x71963))) % 199.88/200.99 [7256]~P32(x72563,x72562,x72561)+P1(f317(f317(f226(a898),f731(x72561,x72562,x72563)),f317(f179(f899(x72563)),x72561))) % 199.88/200.99 [7276]P1(f317(f317(f226(a898),f2(a898)),x72761))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x72762),x72761)),f317(f317(f75(a898),x72763),x72761))) % 199.88/200.99 [7277]P1(f317(f317(f226(a898),f2(a898)),x72771))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x72771),x72772)),f317(f317(f75(a898),x72771),x72773))) % 199.88/200.99 [7280]~P1(f317(f317(f319(x72801),x72802),x72803))+~P1(f317(f317(f319(x72801),x72802),f317(f73(f905(x72801,a894)),x72803))) % 199.88/200.99 [7286]~P1(f317(f317(f226(f905(x72861,a894)),x72862),x72863))+P1(f317(f317(f225(f905(x72861,a894)),x72862),x72863)) % 199.88/200.99 [7392]~P1(f317(f317(f225(a898),x73923),x73922))+P1(f317(f317(f225(a898),f317(f317(f23(a898),x73921),x73922)),f317(f317(f23(a898),x73921),x73923))) % 199.88/200.99 [7393]~P1(f317(f317(f225(a898),x73931),x73933))+P1(f317(f317(f225(a898),f317(f317(f23(a898),x73931),x73932)),f317(f317(f23(a898),x73933),x73932))) % 199.88/200.99 [7394]~P1(f317(f317(f225(a898),x73942),x73943))+P1(f317(f317(f225(a898),f317(f317(f74(a898),x73941),x73942)),f317(f317(f74(a898),x73941),x73943))) % 199.88/200.99 [7395]~P1(f317(f317(f225(a898),x73951),x73953))+P1(f317(f317(f225(a898),f317(f317(f74(a898),x73951),x73952)),f317(f317(f74(a898),x73953),x73952))) % 199.88/200.99 [7397]~P1(f317(f317(f225(a898),x73972),x73973))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x73971),x73972)),f317(f317(f75(a898),x73971),x73973))) % 199.88/200.99 [7399]~P1(f317(f317(f225(a898),x73991),x73993))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x73991),x73992)),f317(f317(f75(a898),x73993),x73992))) % 199.88/200.99 [7400]~P1(f317(f317(f225(a898),x74001),x74003))+P1(f317(f317(f225(a898),f317(f317(f30(a898),x74001),x74002)),f317(f317(f30(a898),x74003),x74002))) % 199.88/200.99 [7401]~P1(f317(f317(f225(a1),x74012),x74013))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74011),x74012)),f317(f317(f74(a1),x74011),x74013))) % 199.88/200.99 [7404]~P1(f317(f317(f226(a898),x74042),x74043))+P1(f317(f317(f226(a898),f317(f317(f74(a898),x74041),x74042)),f317(f317(f74(a898),x74041),x74043))) % 199.88/200.99 [7405]~P1(f317(f317(f226(a898),x74051),x74053))+P1(f317(f317(f226(a898),f317(f317(f74(a898),x74051),x74052)),f317(f317(f74(a898),x74053),x74052))) % 199.88/200.99 [7406]~P1(f317(f317(f226(a1),x74061),x74063))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x74061),x74062)),f317(f317(f74(a1),x74063),x74062))) % 199.88/200.99 [7409]~P1(f317(f317(f277(a898),x74092),x74093))+P1(f317(f317(f277(a898),f317(f317(f75(a898),x74091),x74092)),f317(f317(f75(a898),x74091),x74093))) % 199.88/200.99 [7487]E(x74871,x74872)+~P1(f317(f317(f319(x74873),x74871),f317(f317(f299(x74873),x74872),f178(f905(x74873,a894))))) % 199.88/200.99 [7489]~E(f317(f317(f92(f905(x74891,a894)),x74892),x74893),f178(f905(x74891,a894)))+P1(f317(f317(f225(f905(x74891,a894)),x74892),f317(f73(f905(x74891,a894)),x74893))) % 199.88/200.99 [7494]P1(f317(f317(f319(f905(x74941,a894)),x74942),f317(f298(x74941),x74943)))+~P1(f317(f317(f225(f905(x74941,a894)),x74942),x74943)) % 199.88/200.99 [7545]E(f317(f317(f141(x75451),f317(f317(f154(x75451),x75452),x75453)),f317(f317(f128(x75451),f317(a102,x75453)),x75452)),f317(f317(f128(x75451),x75453),x75452))+~P1(f317(f317(f226(a898),x75453),f317(f179(f899(x75451)),x75452))) % 199.88/200.99 [7570]P1(f317(f317(f319(f904(x75701,x75701)),x75702),f297(x75701,x75703)))+~P1(f317(f317(f319(f904(x75701,x75701)),x75702),x75703)) % 199.88/200.99 [7579]~P1(f317(f317(f319(f905(x75791,a894)),x75792),f317(f298(x75791),x75793)))+P1(f317(f317(f225(f905(x75791,a894)),x75792),x75793)) % 199.88/200.99 [7624]P1(f317(f317(f225(f905(x76241,a894)),x76242),f31(f905(x76241,a894),x76243)))+~P1(f317(f317(f319(f905(x76241,a894)),x76242),x76243)) % 199.88/200.99 [7649]~P128(x76491)+E(f317(f317(f75(x76491),f317(f317(f234(x76491),f317(f73(x76491),f72(x76491))),x76492)),f317(f317(f234(x76491),x76493),x76492)),f317(f317(f234(x76491),f317(f73(x76491),x76493)),x76492)) % 199.88/200.99 [7671]E(f317(f317(f154(x76711),x76712),f317(f317(f23(a898),f317(f179(f899(x76711)),x76712)),f317(a102,x76713))),f317(f317(f154(x76711),f317(f158(x76711),x76712)),x76713))+~P1(f317(f317(f226(a898),x76713),f317(f179(f899(x76711)),x76712))) % 199.88/200.99 [7688]~E(f317(f317(f92(f905(x76881,a894)),f485(x76883,x76882,x76881)),x76883),f178(f905(x76881,a894)))+E(f317(f317(f92(f905(x76881,a894)),f31(f905(x76881,a894),x76882)),x76883),f178(f905(x76881,a894))) % 199.88/200.99 [7752]~P1(f317(f317(f319(x77523),x77522),f317(f162(x77523),x77521)))+P1(f317(f317(f226(a898),f632(x77521,x77522,x77523)),f317(f179(f899(x77523)),x77521))) % 199.88/200.99 [7760]P1(f317(f317(f319(x77601),f317(f317(f154(x77601),x77602),x77603)),f317(f162(x77601),x77602)))+~P1(f317(f317(f226(a898),x77603),f317(f179(f899(x77601)),x77602))) % 199.88/200.99 [7858]~P1(f317(x78582,f696(x78583,x78582,x78581)))+E(f317(f317(f128(x78581),f317(f179(f899(x78581)),f167(x78581,x78582,x78583))),x78583),f103(x78581)) % 199.88/200.99 [7871]P1(f317(f317(f225(f905(f899(x78711),a894)),f151(x78711,x78712)),f151(x78711,x78713)))+~P1(f317(f317(f225(f905(x78711,a894)),x78712),x78713)) % 199.88/200.99 [7872]P1(f317(f317(f225(f905(f899(x78721),a894)),f150(x78721,x78722)),f150(x78721,x78723)))+~P1(f317(f317(f225(f905(x78721,a894)),x78722),x78723)) % 199.88/200.99 [7899]E(f317(f317(f92(f905(x78991,a894)),f31(f905(x78991,a894),x78992)),x78993),f178(f905(x78991,a894)))+P1(f317(f317(f319(f905(x78991,a894)),f485(x78993,x78992,x78991)),x78992)) % 199.88/200.99 [7901]~P1(f317(f317(f319(f905(x79011,a894)),x79013),x79012))+P1(f317(f317(f225(f905(x79011,a894)),f32(f905(x79011,a894),x79012)),x79013)) % 199.88/200.99 [7903]E(f317(f317(f92(f905(x79031,a894)),x79032),x79033),f178(f905(x79031,a894)))+~P1(f317(f317(f225(f905(x79031,a894)),x79032),f317(f73(f905(x79031,a894)),x79033))) % 199.88/200.99 [7952]E(f317(f317(f23(a898),f317(f317(f74(a898),f317(f155(a898),x79521)),x79522)),f317(f317(f154(a898),x79521),x79523)),f317(f155(a898),f317(f317(f149(a898,x79521),x79523),x79522)))+~P1(f317(f317(f226(a898),x79523),f317(f179(f899(a898)),x79521))) % 199.88/200.99 [8003]P1(f317(f317(f225(a898),x80031),x80032))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),x80033),x80031)),f317(f317(f74(a898),x80033),x80032))) % 199.88/200.99 [8006]P1(f317(f317(f226(a898),x80061),x80062))+~P1(f317(f317(f226(a898),f317(f317(f74(a898),x80063),x80061)),f317(f317(f74(a898),x80063),x80062))) % 199.88/200.99 [8007]P1(f317(f317(f226(a898),x80071),x80072))+~P1(f317(f317(f226(a898),f317(f317(f75(a898),x80073),x80071)),f317(f317(f75(a898),x80073),x80072))) % 199.88/200.99 [8008]P1(f317(f317(f226(a898),x80081),x80082))+~P1(f317(f317(f226(a898),f317(f317(f75(a898),x80081),x80083)),f317(f317(f75(a898),x80082),x80083))) % 199.88/200.99 [8037]P1(f317(f317(f226(a898),f2(a898)),x80371))+~P1(f317(f317(f226(a898),f317(f317(f75(a898),x80372),x80371)),f317(f317(f75(a898),x80373),x80371))) % 199.88/200.99 [8038]P1(f317(f317(f226(a898),f2(a898)),x80381))+~P1(f317(f317(f226(a898),f317(f317(f75(a898),x80381),x80382)),f317(f317(f75(a898),x80381),x80383))) % 199.88/200.99 [8111]E(f237(x81111,x81112,x81113),x81112)+~P1(f317(f317(f225(f905(x81111,a894)),x81113),f317(f317(f299(x81111),x81112),f178(f905(x81111,a894))))) % 199.88/200.99 [8161]~P1(f317(f127(x81611),x81613))+E(f317(f126(x81611,f317(f317(f8(a894,a894,x81611),a312),f317(a314,x81612))),x81613),f160(x81611,x81612,x81613)) % 199.88/200.99 [8186]E(f317(f317(f128(x81861),f317(f179(f899(x81861)),f167(x81861,x81862,x81863))),x81863),f103(x81861))+P1(f317(f317(f319(x81861),f696(x81863,x81862,x81861)),f317(f162(x81861),x81863))) % 199.88/200.99 [8190]E(f317(f317(f124(x81901),f317(f317(f165(x81901),x81902),x81903)),f317(f317(f141(x81901),f317(f317(f154(x81901),x81903),x81902)),f103(x81901))),f317(f317(f165(x81901),f317(a102,x81902)),x81903))+~P1(f317(f317(f226(a898),x81902),f317(f179(f899(x81901)),x81903))) % 199.88/200.99 [8257]E(f317(f126(x82571,f317(f317(f8(a894,a894,x82571),a312),f317(a314,x82572))),x82573),x82573)+P1(f317(f317(f319(x82571),x82572),f317(f162(x82571),x82573))) % 199.88/200.99 [8263]P1(f317(f317(f225(f905(f905(x82631,a894),a894)),f238(x82631,x82632)),f238(x82631,x82633)))+~P1(f317(f317(f225(f905(x82631,a894)),x82632),x82633)) % 199.88/200.99 [8302]~P1(f317(f127(x83021),x83023))+P1(f317(f127(x83021),f317(f317(f317(f173(f899(x83021),f899(x83021)),x83022),f157(x83021)),x83023))) % 199.88/200.99 [8308]~P1(f317(f317(f226(a898),x83082),x83083))+P1(f317(f317(f226(a898),f317(f317(f75(a898),f317(a102,x83081)),x83082)),f317(f317(f75(a898),f317(a102,x83081)),x83083))) % 199.88/200.99 [8328]P1(f317(f317(f225(f905(f905(x83281,a894),a894)),f317(f298(x83281),x83282)),f317(f298(x83281),x83283)))+~P1(f317(f317(f225(f905(x83281,a894)),x83282),x83283)) % 199.88/200.99 [8398]~E(f317(f300(x83981,x83982,x83983),f232(f905(x83981,a894))),f232(f905(x83982,a894)))+E(f317(f67(x83981,x83982,x83982,x83983),f85(x83981,x83982,f232(f905(x83981,a894)),x83983)),f25(x83982)) % 199.88/200.99 [8492]~P1(f317(f317(f225(f905(x84921,a894)),x84923),x84922))+P1(f317(f317(f225(f905(x84921,a894)),f317(f73(f905(x84921,a894)),x84922)),f317(f73(f905(x84921,a894)),x84923))) % 199.88/200.99 [8526]E(f317(f300(a898,a898,f317(f317(f7(a898,a898,a898),f23(a898)),x85261)),f317(f292(a898,x85262),x85263)),f317(f292(a898,f317(f317(f23(a898),x85262),x85261)),f317(f317(f23(a898),x85263),x85261)))+~P1(f317(f317(f226(a898),x85261),x85263)) % 199.88/200.99 [8552]~P81(x85521)+E(f317(f317(f74(x85521),x85522),f317(f132(x85521,x85521,f74(x85521),f2(x85521)),x85523)),f317(f132(x85521,x85521,f74(x85521),x85522),x85523)) % 199.88/200.99 [8628]~P85(x86281)+P1(f317(f317(f225(x86281),f317(f70(x86281),f317(f317(f23(x86281),x86282),x86283))),f317(f317(f74(x86281),f317(f70(x86281),x86282)),f317(f70(x86281),x86283)))) % 199.88/200.99 [8629]~P85(x86291)+P1(f317(f317(f225(x86291),f317(f70(x86291),f317(f317(f74(x86291),x86292),x86293))),f317(f317(f74(x86291),f317(f70(x86291),x86292)),f317(f70(x86291),x86293)))) % 199.88/200.99 [8640]E(f317(f317(f74(a1),f317(f317(f75(a1),x86401),f40(a1,f317(f317(f30(a1),x86402),x86401),x86403))),f40(a1,x86402,x86401)),f40(a1,x86402,f317(f317(f75(a1),x86401),x86403)))+~P1(f317(f317(f226(a1),f2(a1)),x86403)) % 199.88/200.99 [8646]E(f317(f317(f124(x86461),f317(f317(f165(x86461),x86462),x86463)),f317(f317(f141(x86461),f317(f131(x86461),f317(f317(f128(x86461),x86462),x86463))),f103(x86461))),f317(f317(f165(x86461),f317(a102,x86462)),x86463))+~P1(f317(f317(f226(a898),x86462),f317(f179(f899(x86461)),x86463))) % 199.88/200.99 [8666]E(f317(f258(x86661,f317(f317(f144(x86661,f904(a89,x86661)),f317(f242(a89,x86661),f72(a89))),x86662)),f317(a3,x86663)),f317(f317(f154(x86661),x86662),x86663))+~P1(f317(f317(f226(a898),x86663),f317(f179(f899(x86661)),x86662))) % 199.88/200.99 [8734]P1(f317(f317(f319(f904(x87341,x87341)),x87342),f317(f317(f279(x87341,x87341,x87341),x87343),f297(x87341,x87343))))+~P1(f317(f317(f319(f904(x87341,x87341)),x87342),x87343)) % 199.88/200.99 [8745]E(f317(f300(x87451,x87452,x87453),f232(f905(x87451,a894))),f232(f905(x87452,a894)))+~E(f317(f67(x87451,x87452,x87452,x87453),f85(x87451,x87452,f232(f905(x87451,a894)),x87453)),f25(x87452)) % 199.88/200.99 [8754]P1(f317(f317(f225(a898),x87541),x87542))+~P1(f317(f317(f225(a898),f317(f317(f75(a898),f317(a102,x87543)),x87541)),f317(f317(f75(a898),f317(a102,x87543)),x87542))) % 199.88/200.99 [8770]P1(f317(f317(f225(f905(x87701,a894)),x87702),x87703))+~P1(f317(f317(f225(f905(x87701,a894)),f317(f73(f905(x87701,a894)),x87703)),f317(f73(f905(x87701,a894)),x87702))) % 199.88/200.99 [8793]P1(f317(f127(x87931),x87932))+~P1(f317(f127(x87931),f317(f317(f317(f173(f899(x87931),f899(x87931)),x87933),f157(x87931)),x87932))) % 199.88/200.99 [8866]E(f317(f275(x88661,x88661,f297(x88661,x88662)),x88663),x88663)+~P1(f317(f317(f225(f905(x88661,a894)),f317(f275(x88661,x88661,x88662),x88663)),x88663)) % 199.88/200.99 [8914]~P108(x89141)+P13(x89141,f317(f126(x89141,f317(f317(f7(x89141,x89141,a894),a314),f317(x89142,x89143))),x89143)) % 199.88/200.99 [8921]~P1(f317(f317(f225(a898),x89211),x89212))+P1(f317(f317(f225(a898),x89211),f317(f132(a898,a898,f74(a898),x89212),x89213))) % 199.88/200.99 [9007]~P1(f317(f317(f319(f904(x90071,x90071)),x90072),f297(x90071,x90073)))+P1(f317(f317(f319(f904(x90071,x90071)),x90072),f317(f317(f173(f904(x90071,x90071),a894),f588(x90073,x90072,x90071)),x90073))) % 199.88/200.99 [9088]~P81(x90881)+E(f317(f317(f74(x90881),x90882),f317(f132(x90881,x90881,f317(f7(x90881,x90881,x90881),f74(x90881)),f2(x90881)),f317(f158(x90881),x90883))),f317(f132(x90881,x90881,f74(x90881),x90882),x90883)) % 199.88/200.99 [9207]~P25(x92072,x92071,x92073,f232(f905(x92072,a894)),f232(f905(x92071,a894)))+E(f85(x92071,x92072,f232(f905(x92071,a894)),f85(x92072,x92071,f232(f905(x92072,a894)),x92073)),x92073) % 199.88/200.99 [9362]P54(x93621,x93622,x93623)+P1(f317(f317(f319(f904(x93621,x93622)),f317(f317(f242(x93621,x93622),f583(x93623,x93622,x93621)),f563(x93623,x93622,x93621))),x93623)) % 199.88/200.99 [9363]P54(x93631,x93632,x93633)+P1(f317(f317(f319(f904(x93631,x93632)),f317(f317(f242(x93631,x93632),f583(x93633,x93632,x93631)),f562(x93633,x93632,x93631))),x93633)) % 199.88/200.99 [9434]~P1(f317(f317(f319(f904(x94341,x94341)),x94342),f317(f317(f279(x94341,x94341,x94341),x94343),f297(x94341,x94343))))+P1(f317(f317(f319(f904(x94341,x94341)),x94342),f317(f317(f173(f904(x94341,x94341),a894),f589(x94343,x94342,x94341)),x94343))) % 199.88/200.99 [9435]~P1(f317(x94351,f317(f317(f154(x94352),x94353),f317(f179(f899(x94352)),f167(x94352,x94351,x94353)))))+~P1(f317(f317(f226(a898),f317(f179(f899(x94352)),f167(x94352,x94351,x94353))),f317(f179(f899(x94352)),x94353))) % 199.88/200.99 [9526]~P1(f317(f317(f225(f905(x95261,a894)),x95262),x95263))+P1(f317(f317(f225(f905(x95261,a894)),f317(f317(f7(x95261,f905(x95261,a894),a894),f319(x95261)),x95262)),f317(f317(f7(x95261,f905(x95261,a894),a894),f319(x95261)),x95263))) % 199.88/200.99 [9588]~P1(f317(f317(f319(f904(f905(x95881,a894),f905(x95881,a894))),f317(f317(f242(f905(x95881,a894),f905(x95881,a894)),x95882),x95883)),f304(x95881)))+P1(f317(f317(f226(f905(x95881,a894)),x95882),x95883)) % 199.88/200.99 [9616]P55(x96161,x96162,x96163)+~P1(f317(f317(f319(f904(x96161,x96161)),f317(f317(f242(x96161,x96161),f586(x96163,x96162,x96161)),f585(x96163,x96162,x96161))),x96163)) % 199.88/200.99 [9617]P55(x96171,x96172,x96173)+~P1(f317(f317(f319(f904(x96171,x96171)),f317(f317(f242(x96171,x96171),f585(x96173,x96172,x96171)),f586(x96173,x96172,x96171))),x96173)) % 199.88/200.99 [9654]~P1(f317(f317(f319(f904(f899(x96541),f899(x96541))),f317(f317(f242(f899(x96541),f899(x96541)),x96542),x96542)),f137(x96541,x96543)))+P1(f317(f317(f319(f904(x96541,x96541)),f317(f317(f242(x96541,x96541),f626(x96542,x96543,x96541)),f626(x96542,x96543,x96541))),x96543)) % 199.88/200.99 [9704]P1(f317(f317(f225(f905(x97041,a894)),x97042),x97043))+~P1(f317(f317(f225(f905(x97041,a894)),f317(f317(f7(x97041,f905(x97041,a894),a894),f319(x97041)),x97042)),f317(f317(f7(x97041,f905(x97041,a894),a894),f319(x97041)),x97043))) % 199.88/200.99 [9785]E(f317(f317(f23(a898),f317(f317(f6(a898,a898),x97851),f317(f272(a898),x97852))),f317(f317(f6(a898,a898),x97853),f317(f272(a898),x97852))),f317(f317(f6(a898,a898),f317(f317(f18(a898,a898,a898),f317(f317(f8(a898,f905(a898,a898),a898),f23(a898)),x97851)),x97853)),f317(f272(a898),x97852)))+~P1(f317(f317(f225(a898),f317(x97853,f450(x97852,x97851,x97853))),f317(x97851,f450(x97852,x97851,x97853)))) % 199.88/200.99 [5709]~P76(x57091)+E(f317(f317(f23(x57091),f317(f317(f74(x57091),x57092),x57093)),x57093),x57092) % 199.88/200.99 [5710]~P76(x57101)+E(f317(f317(f74(x57101),f317(f317(f23(x57101),x57102),x57103)),x57103),x57102) % 199.88/200.99 [5944]~P76(x59441)+E(f317(f317(f74(x59441),x59442),f317(f317(f74(x59441),f317(f73(x59441),x59442)),x59443)),x59443) % 199.88/200.99 [6033]~P82(x60331)+E(f317(f317(f75(x60331),f317(f317(f234(x60331),x60332),x60333)),x60332),f317(f317(f234(x60331),x60332),f317(a102,x60333))) % 199.88/200.99 [6034]~P112(x60341)+E(f317(f317(f75(x60341),f317(f317(f234(x60341),x60342),x60343)),x60342),f317(f317(f234(x60341),x60342),f317(a102,x60343))) % 199.88/200.99 [6258]~P111(x62581)+E(f317(f70(x62581),f317(f317(f234(x62581),f317(f73(x62581),x62582)),x62583)),f317(f70(x62581),f317(f317(f234(x62581),x62582),x62583))) % 199.88/200.99 [6305]~P82(x63051)+E(f317(f317(f75(x63051),f317(f317(f234(x63051),x63052),x63053)),x63052),f317(f317(f75(x63051),x63052),f317(f317(f234(x63051),x63052),x63053))) % 199.88/200.99 [6365]E(f317(f317(f23(a89),f317(f317(f74(a89),x63651),x63652)),x63653),f264(x63651,x63652,x63653))+~P1(f317(f317(f226(a89),x63652),x63653)) % 199.88/200.99 [6390]~E(f317(f317(f128(x63901),x63903),x63902),f103(x63901))+P1(f317(f317(f225(a898),f317(f179(f899(x63901)),x63902)),x63903)) % 199.88/200.99 [6529]E(f317(f317(f75(a898),f317(f94(a898),x65291)),f317(f317(f75(a898),f317(f94(a898),x65292)),x65293)),f2(a898))+~P1(f317(f317(f226(a1),x65291),a77)) % 199.88/200.99 [6545]~P61(x65451)+E(f317(f317(f234(x65451),f317(f317(f281(x65451),f72(x65451)),x65452)),x65453),f317(f317(f281(x65451),f72(x65451)),f317(f317(f234(x65451),x65452),x65453))) % 199.88/200.99 [6627]E(f317(f317(f23(a898),f317(f317(f74(a898),x66271),x66272)),x66273),f317(f317(f23(a898),x66271),f317(f317(f23(a898),x66273),x66272)))+~P1(f317(f317(f225(a898),x66272),x66273)) % 199.88/200.99 [6629]E(f317(f317(f23(a898),f317(f317(f74(a898),x66291),x66292)),x66293),f317(f317(f74(a898),x66291),f317(f317(f23(a898),x66292),x66293)))+~P1(f317(f317(f225(a898),x66293),x66292)) % 199.88/200.99 [6668]~P108(x66681)+P1(f317(f317(f225(x66681),f317(f317(f229(x66681),x66682),x66683)),x66683)) % 199.88/200.99 [6669]~P108(x66691)+P1(f317(f317(f225(x66691),f317(f317(f229(x66691),x66692),x66693)),x66692)) % 199.88/200.99 [6670]~P98(x66701)+P1(f317(f317(f225(x66701),f317(f317(f92(x66701),x66702),x66703)),x66703)) % 199.88/200.99 [6671]~P104(x66711)+P1(f317(f317(f225(x66711),f317(f317(f92(x66711),x66712),x66713)),x66713)) % 199.88/200.99 [6672]~P98(x66721)+P1(f317(f317(f225(x66721),f317(f317(f92(x66721),x66722),x66723)),x66722)) % 199.88/200.99 [6673]~P104(x66731)+P1(f317(f317(f225(x66731),f317(f317(f92(x66731),x66732),x66733)),x66732)) % 199.88/200.99 [6687]E(f317(f317(f30(a1),f317(f317(f30(a1),x66871),x66872)),x66873),f317(f317(f30(a1),x66871),f317(f317(f75(a1),x66872),x66873)))+~P1(f317(f317(f226(a1),f2(a1)),x66873)) % 199.88/200.99 [6741]~P112(x67411)+E(f317(f317(f74(x67411),f317(f317(f75(x67411),x67412),x67413)),x67413),f317(f317(f75(x67411),f317(f317(f74(x67411),x67412),f72(x67411))),x67413)) % 199.88/200.99 [6742]~P93(x67421)+E(f317(f317(f75(x67421),f317(f73(x67421),f317(f94(x67421),x67422))),x67423),f317(f317(f75(x67421),f317(f94(x67421),f317(f73(a1),x67422))),x67423)) % 199.88/200.99 [6815]~P81(x68151)+E(f317(f155(x68151),f317(f317(f144(x68152,x68151),f317(f16(x68151,x68152),f2(x68151))),x68153)),f2(x68151)) % 199.88/200.99 [6833]E(f317(f317(f74(a898),f317(f94(a898),x68331)),f317(f317(f74(a898),f317(f94(a898),x68332)),x68333)),f317(f317(f74(a898),f317(f94(a898),x68332)),x68333))+~P1(f317(a183,f317(f94(a1),x68331))) % 199.88/200.99 [6848]~P5(x68481)+E(f32(x68481,f317(f317(f299(x68481),x68482),f317(f317(f299(x68481),x68483),f178(f905(x68481,a894))))),f317(f317(f92(x68481),x68482),x68483)) % 199.88/200.99 [6849]~P5(x68491)+E(f31(x68491,f317(f317(f299(x68491),x68492),f317(f317(f299(x68491),x68493),f178(f905(x68491,a894))))),f317(f317(f91(x68491),x68492),x68493)) % 199.88/200.99 [6873]E(f317(f317(f165(x68731),x68732),x68733),x68733)+~P1(f317(f317(f225(a898),f317(f179(f899(x68731)),x68733)),x68732)) % 199.88/200.99 [6885]E(f317(f317(f128(x68851),x68852),x68853),f103(x68851))+~P1(f317(f317(f225(a898),f317(f179(f899(x68851)),x68853)),x68852)) % 199.88/200.99 [6896]E(f317(f317(f74(a898),f317(f317(f23(a898),x68961),x68962)),x68963),f317(f317(f23(a898),f317(f317(f74(a898),x68961),x68963)),x68962))+~P1(f317(f317(f225(a898),x68962),x68961)) % 199.88/200.99 [6910]~P1(f317(f317(f226(a898),x69101),x69103))+P1(f317(f317(f226(a898),f317(f317(f23(a898),x69101),x69102)),x69103)) % 199.88/200.99 [6937]~P108(x69371)+E(f160(x69371,x69372,f317(f317(f138(x69371,x69371,f5(x69371)),x69372),x69373)),x69373) % 199.88/200.99 [7031]E(f317(f317(f23(a898),f317(f317(f74(a898),x70311),x70312)),f317(a102,x70313)),f317(f317(f23(a898),x70311),f317(a102,f317(f317(f23(a898),x70313),x70312))))+~P1(f317(f317(f225(a898),x70312),x70313)) % 199.88/200.99 [7032]~P111(x70321)+P1(f317(f317(f225(x70321),f2(x70321)),f317(f317(f234(x70321),f317(f70(x70321),x70322)),x70323))) % 199.88/200.99 [7123]~P1(f317(f28(x71231),x71232))+P1(f317(f28(x71231),f317(f317(f23(f905(x71231,a894)),x71232),x71233))) % 199.88/200.99 [7124]~P1(f317(f28(x71241),x71243))+P1(f317(f28(x71241),f317(f317(f92(f905(x71241,a894)),x71242),x71243))) % 199.88/200.99 [7125]~P1(f317(f28(x71251),x71252))+P1(f317(f28(x71251),f317(f317(f92(f905(x71251,a894)),x71252),x71253))) % 199.88/200.99 [7266]~P36(x72661,x72663)+P36(x72661,f317(f317(f92(f905(f904(x72661,x72661),a894)),x72662),x72663)) % 199.88/200.99 [7267]~P36(x72671,x72672)+P36(x72671,f317(f317(f92(f905(f904(x72671,x72671),a894)),x72672),x72673)) % 199.88/200.99 [7388]~P108(x73881)+E(f14(x73881,f317(f162(x73881),f317(f317(f141(x73881),x73882),x73883))),f317(f132(x73881,x73881,f229(x73881),x73882),x73883)) % 199.88/200.99 [7389]~P108(x73891)+E(f15(x73891,f317(f162(x73891),f317(f317(f141(x73891),x73892),x73893))),f317(f132(x73891,x73891,f224(x73891),x73892),x73893)) % 199.88/200.99 [7390]~P98(x73901)+E(f13(x73901,f317(f162(x73901),f317(f317(f141(x73901),x73902),x73903))),f317(f132(x73901,x73901,f91(x73901),x73902),x73903)) % 199.88/200.99 [7391]~P98(x73911)+E(f10(x73911,f317(f162(x73911),f317(f317(f141(x73911),x73912),x73913))),f317(f132(x73911,x73911,f92(x73911),x73912),x73913)) % 199.88/200.99 [7455]~P1(f317(f28(x74551),x74552))+P1(f317(f317(f225(a898),f317(f29(x74551),x74552)),f317(f29(x74551),f317(f317(f299(x74551),x74553),x74552)))) % 199.88/200.99 [7462]E(f317(f317(f91(f905(a898,a894)),f317(f292(a898,x74621),x74622)),f317(f292(a898,x74622),f317(f317(f74(a898),x74622),x74623))),f317(f292(a898,x74621),f317(f317(f74(a898),x74622),x74623)))+~P1(f317(f317(f225(a898),x74621),x74622)) % 199.88/200.99 [7471]P1(f317(f317(f225(a898),x74711),x74712))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),x74713),x74711)),x74712)) % 199.88/200.99 [7472]P1(f317(f317(f225(a898),x74721),x74722))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),x74721),x74723)),x74722)) % 199.88/200.99 [7473]P1(f317(f317(f226(a898),x74731),x74732))+~P1(f317(f317(f226(a898),f317(f317(f74(a898),x74731),x74733)),x74732)) % 199.88/200.99 [7513]~P108(x75131)+E(f11(x75131,f229(x75131),f317(f162(x75131),f317(f317(f141(x75131),x75132),x75133))),f317(f132(x75131,x75131,f229(x75131),x75132),x75133)) % 199.88/200.99 [7514]~P108(x75141)+E(f12(x75141,f224(x75141),f317(f162(x75141),f317(f317(f141(x75141),x75142),x75143))),f317(f132(x75141,x75141,f224(x75141),x75142),x75143)) % 199.88/200.99 [7518]~E(x75182,f178(f905(f904(x75181,x75181),a894)))+P1(f317(f317(f225(f905(f904(x75181,x75181),a894)),x75182),x75183)) % 199.88/200.99 [7617]E(f317(f317(f91(f905(x76171,a894)),x76172),f317(f317(f23(f905(x76171,a894)),x76173),x76172)),x76173)+~P1(f317(f317(f225(f905(x76171,a894)),x76172),x76173)) % 199.88/200.99 [7620]~P1(f317(f317(f225(a898),x76201),f317(f317(f74(a898),x76203),x76202)))+P1(f317(f317(f225(a898),f317(f317(f23(a898),x76201),x76202)),x76203)) % 199.88/200.99 [7621]~P1(f317(f317(f226(a898),x76211),f317(f317(f23(a898),x76213),x76212)))+P1(f317(f317(f226(a898),f317(f317(f74(a898),x76211),x76212)),x76213)) % 199.88/200.99 [7678]E(x76781,f103(x76782))+E(f317(f131(x76782),f317(f317(f317(f173(f899(x76782),f899(x76782)),x76783),f157(x76782)),x76781)),f317(f317(f154(x76782),x76781),f40(a898,x76783,f317(f179(f899(x76782)),x76781)))) % 199.88/200.99 [7687]E(f317(f317(f299(x76871),x76872),f317(f317(f23(f905(x76871,a894)),x76873),f317(f317(f299(x76871),x76872),f178(f905(x76871,a894))))),x76873)+~P1(f317(f317(f319(x76871),x76872),x76873)) % 199.88/200.99 [7849]P1(f317(f317(f225(a898),x78491),f317(f317(f74(a898),x78492),x78493)))+~P1(f317(f317(f225(a898),f317(f317(f23(a898),x78491),x78493)),x78492)) % 199.88/200.99 [7850]P1(f317(f317(f226(a898),x78501),f317(f317(f23(a898),x78502),x78503)))+~P1(f317(f317(f226(a898),f317(f317(f74(a898),x78501),x78503)),x78502)) % 199.88/200.99 [7876]P1(f317(f28(x78761),x78762))+~P1(f317(f28(x78761),f317(f317(f91(f905(x78761,a894)),x78763),x78762))) % 199.88/200.99 [7877]P1(f317(f28(x78771),x78772))+~P1(f317(f28(x78771),f317(f317(f91(f905(x78771,a894)),x78772),x78773))) % 199.88/200.99 [7951]~P45(x79511,x79513)+P1(f317(f317(f319(f904(x79511,x79511)),f317(f317(f242(x79511,x79511),x79512),x79512)),x79513)) % 199.88/200.99 [8084]E(f317(f317(f154(a898),f129(a898,f317(f292(a898,x80841),x80842))),x80843),f317(f317(f74(a898),x80841),x80843))+~P1(f317(f317(f226(a898),f317(f317(f74(a898),x80841),x80843)),x80842)) % 199.88/200.99 [8150]E(f317(f317(f165(a898),x81501),f129(a898,f317(f292(a898,x81502),x81503))),f129(a898,f317(f292(a898,x81502),f317(f317(f74(a898),x81502),x81501))))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),x81502),x81501)),x81503)) % 199.88/200.99 [8207]~P93(x82071)+E(f317(f317(f234(x82071),x82072),f317(f94(a898),f317(f317(f74(a1),x82073),x82073))),f317(f317(f80(x82071,x82071),f317(f317(f234(x82071),x82072),f317(f94(a898),x82073))),f317(f317(f18(x82071,x82071,x82071),f75(x82071)),f5(x82071)))) % 199.88/200.99 [8473]E(f317(f317(f124(x84731),f317(f317(f165(x84731),x84732),x84733)),f317(f317(f141(x84731),f317(f317(f154(x84731),x84733),x84732)),f317(f317(f128(x84731),f317(a102,x84732)),x84733))),x84733)+~P1(f317(f317(f226(a898),x84732),f317(f179(f899(x84731)),x84733))) % 199.88/200.99 [8480]P1(f317(f317(f225(f905(x84801,a894)),f305(x84801,x84802)),f305(x84801,x84803)))+~P1(f317(f317(f225(f905(x84801,f905(x84801,a894))),x84803),x84802)) % 199.88/200.99 [8481]~P55(x84811,x84812,x84813)+P55(x84811,x84812,f317(f317(f23(f905(f904(x84811,x84811),a894)),x84813),f297(x84811,f178(f905(f904(x84811,x84811),a894))))) % 199.88/200.99 [8500]P1(f317(f317(f225(f905(x85001,a894)),f306(x85001,x85002)),f306(x85001,x85003)))+~P1(f317(f317(f225(f905(f904(x85001,x85001),a894)),x85003),x85002)) % 199.88/200.99 [8507]~P126(x85071)+P1(f317(f317(f225(x85071),f2(x85071)),f317(f317(f74(x85071),f317(f317(f75(x85071),x85072),x85072)),f317(f317(f75(x85071),x85073),x85073)))) % 199.88/200.99 [8541]P1(f317(f317(f225(f905(x85411,a894)),f317(f271(x85411),x85412)),f317(f271(x85411),x85413)))+~P1(f317(f317(f225(f905(f904(x85411,x85411),a894)),x85412),x85413)) % 199.88/200.99 [8570]~P53(x85701,x85702)+~P1(f317(f317(f319(f904(x85701,x85701)),f317(f317(f242(x85701,x85701),x85703),x85703)),x85702)) % 199.88/200.99 [8572]~P36(x85721,x85722)+~P1(f317(f317(f319(f904(x85721,x85721)),f317(f317(f242(x85721,x85721),x85723),x85723)),x85722)) % 199.88/200.99 [8630]P1(f317(f317(f225(f905(x86301,a894)),f32(f905(x86301,a894),x86302)),f32(f905(x86301,a894),x86303)))+~P1(f317(f317(f225(f905(f905(x86301,a894),a894)),x86303),x86302)) % 199.88/200.99 [8631]P1(f317(f317(f225(f905(x86311,a894)),f31(f905(x86311,a894),x86312)),f31(f905(x86311,a894),x86313)))+~P1(f317(f317(f225(f905(f905(x86311,a894),a894)),x86312),x86313)) % 199.88/200.99 [8685]~P8(x86851,x86853,x86852)+P1(f317(f317(f225(f905(f904(x86851,x86851),a894)),x86852),f317(f317(f244(x86851,x86851),x86853),f317(f16(f905(x86851,a894),x86851),x86853)))) % 199.88/200.99 [8686]~P52(x86861,x86863,x86862)+P1(f317(f317(f225(f905(f904(x86861,x86861),a894)),x86862),f317(f317(f244(x86861,x86861),x86863),f317(f16(f905(x86861,a894),x86861),x86863)))) % 199.88/200.99 [8735]~P85(x87351)+P1(f317(f317(f225(x87351),f317(f317(f23(x87351),f317(f70(x87351),x87352)),f317(f70(x87351),x87353))),f317(f70(x87351),f317(f317(f23(x87351),x87353),x87352)))) % 199.88/200.99 [8736]~P85(x87361)+P1(f317(f317(f225(x87361),f317(f317(f23(x87361),f317(f70(x87361),x87362)),f317(f70(x87361),x87363))),f317(f70(x87361),f317(f317(f23(x87361),x87362),x87363)))) % 199.88/200.99 [8768]P1(f317(f317(f225(f905(f904(x87681,x87681),a894)),f297(x87681,x87682)),f297(x87681,x87683)))+~P1(f317(f317(f225(f905(f904(x87681,x87681),a894)),x87682),x87683)) % 199.88/200.99 [8879]~P24(x88792,x88791,x88793,f232(f905(x88792,a894)))+E(f317(f67(x88791,x88792,x88792,f85(x88792,x88791,f232(f905(x88792,a894)),x88793)),x88793),f25(x88792)) % 199.88/200.99 [8939]P55(x89391,x89392,x89393)+~P55(x89391,x89392,f317(f317(f23(f905(f904(x89391,x89391),a894)),x89393),f297(x89391,f178(f905(f904(x89391,x89391),a894))))) % 199.88/200.99 [8959]P1(f317(f317(f225(f905(f904(f899(x89591),f899(x89591)),a894)),f147(x89591,x89592)),f147(x89591,x89593)))+~P1(f317(f317(f225(f905(f904(x89591,x89591),a894)),x89592),x89593)) % 199.88/200.99 [8960]P1(f317(f317(f225(f905(f904(f899(x89601),f899(x89601)),a894)),f148(x89601,x89602)),f148(x89601,x89603)))+~P1(f317(f317(f225(f905(f904(x89601,x89601),a894)),x89602),x89603)) % 199.88/200.99 [8981]~P52(x89811,x89813,x89812)+P1(f317(f317(f225(f905(f904(x89811,x89811),a894)),x89812),f317(f317(f279(x89811,x89811,x89811),f317(f276(x89811,x89811),x89812)),x89812))) % 199.88/200.99 [9033]~P1(f317(f127(x90331),x90332))+E(f317(f126(x90331,f317(f317(f7(x90331,f905(x90331,a894),a894),f319(x90331)),f317(f162(x90331),f166(x90331,x90332,x90333)))),x90332),f166(x90331,x90332,x90333)) % 199.88/200.99 [9086]E(x90861,x90862)+~P1(f317(f317(f319(f904(x90863,x90863)),f317(f317(f242(x90863,x90863),x90861),x90862)),f297(x90863,f178(f905(f904(x90863,x90863),a894))))) % 199.88/200.99 [9170]P1(f317(f317(f319(x91701),x91702),f306(x91701,x91703)))+P1(f317(f317(f319(f904(x91701,x91701)),f317(f317(f242(x91701,x91701),f481(x91703,x91702,x91701)),x91702)),x91703)) % 199.88/200.99 [9171]P1(f317(f317(f319(x91711),x91712),f306(x91711,x91713)))+P1(f317(f317(f319(f904(x91711,x91711)),f317(f317(f242(x91711,x91711),f565(x91713,x91712,x91711)),x91712)),x91713)) % 199.88/200.99 [9172]P1(f317(f317(f319(x91721),x91722),f306(x91721,x91723)))+P1(f317(f317(f319(f904(x91721,x91721)),f317(f317(f242(x91721,x91721),f567(x91723,x91722,x91721)),x91722)),x91723)) % 199.88/200.99 [9208]P24(x92081,x92082,x92083,f232(f905(x92081,a894)))+~E(f317(f67(x92082,x92081,x92081,f85(x92081,x92082,f232(f905(x92081,a894)),x92083)),x92083),f25(x92081)) % 199.88/200.99 [9261]~P1(f317(f317(f319(f899(x92611)),x92613),f151(x92611,x92612)))+P1(f317(f150(x92611,f317(f317(f7(x92611,f905(x92611,a894),a894),f319(x92611)),x92612)),x92613)) % 199.88/200.99 [9284]P1(f317(x92843,x92842))+E(f317(f252(x92841),f317(f317(f18(x92841,a894,a894),f317(f317(f8(a894,f905(a894,a894),x92841),a315),f317(a314,x92842))),x92843)),f178(f905(x92841,a894))) % 199.88/200.99 [9301]~P85(x93011)+P1(f317(f317(f225(x93011),f317(f70(x93011),f317(f317(f23(x93011),f317(f70(x93011),x93012)),f317(f70(x93011),x93013)))),f317(f70(x93011),f317(f317(f23(x93011),x93012),x93013)))) % 199.88/200.99 [9315]~P1(f317(x93153,x93152))+E(f317(f252(x93151),f317(f317(f18(x93151,a894,a894),f317(f317(f8(a894,f905(a894,a894),x93151),a315),f317(a314,x93152))),x93153)),f317(f317(f299(x93151),x93152),f178(f905(x93151,a894)))) % 199.88/200.99 [9324]~P1(f317(f317(f319(f905(x93241,a894)),x93243),f317(f298(x93241),x93242)))+P1(f317(f238(x93241,f317(f317(f7(x93241,f905(x93241,a894),a894),f319(x93241)),x93242)),x93243)) % 199.88/200.99 [9361]P36(x93611,x93612)+P1(f317(f317(f319(f904(x93611,x93611)),f317(f317(f242(x93611,x93611),f317(f534(x93612,x93611),f317(a102,x93613))),f317(f534(x93612,x93611),x93613))),x93612)) % 199.88/200.99 [9503]P1(f317(f317(f319(f899(x95031)),x95032),f151(x95031,x95033)))+~P1(f317(f150(x95031,f317(f317(f7(x95031,f905(x95031,a894),a894),f319(x95031)),x95033)),x95032)) % 199.88/200.99 [9518]P1(f317(f317(f319(f905(x95181,a894)),x95182),f317(f298(x95181),x95183)))+~P1(f317(f238(x95181,f317(f317(f7(x95181,f905(x95181,a894),a894),f319(x95181)),x95183)),x95182)) % 199.88/200.99 [9583]P1(f317(f317(f319(x95831),f317(f258(x95831,x95832),x95833)),f317(f162(x95831),f317(f317(f144(f904(a89,x95831),x95831),f246(a89,x95831)),x95832))))+~P1(f317(f317(f226(a89),x95833),f317(f155(a89),f317(f317(f144(f904(a89,x95831),a89),f241(a89,x95831)),x95832)))) % 199.88/200.99 [9633]P1(f317(f317(f225(f905(f904(f899(x96331),f899(x96331)),a894)),f148(x96331,x96332)),f317(f317(f244(f899(x96331),f899(x96331)),f151(x96331,x96333)),f317(f16(f905(f899(x96331),a894),f899(x96331)),f151(x96331,x96333)))))+~P1(f317(f317(f225(f905(f904(x96331,x96331),a894)),x96332),f317(f317(f244(x96331,x96331),x96333),f317(f16(f905(x96331,a894),x96331),x96333)))) % 199.88/200.99 [9657]P1(f317(f317(f319(x96571),f317(f241(x96571,f904(a89,a89)),f317(f256(x96571,x96572),x96573))),f317(f162(x96571),f317(f317(f144(f904(a89,x96571),x96571),f246(a89,x96571)),x96572))))+~P1(f317(f317(f226(a89),f2(a89)),f317(f155(a89),f317(f317(f144(f904(a89,x96571),a89),f241(a89,x96571)),x96572)))) % 199.88/200.99 [9672]~P1(f317(f317(f225(f905(f904(x96721,x96721),a894)),x96722),f317(f317(f244(x96721,x96721),x96723),f317(f16(f905(x96721,a894),x96721),x96723))))+P1(f317(f317(f225(f905(f904(x96721,x96721),a894)),f317(f317(f279(x96721,x96721,x96721),x96722),f297(x96721,x96722))),f317(f317(f244(x96721,x96721),x96723),f317(f16(f905(x96721,a894),x96721),x96723)))) % 199.88/200.99 [9970]~P36(x99701,x99702)+~P1(f317(f317(f319(f904(x99701,x99701)),f317(f317(f242(x99701,x99701),f317(x99703,f317(a102,f535(x99702,x99701,x99703)))),f317(x99703,f535(x99702,x99701,x99703)))),x99702)) % 199.88/200.99 [9971]~P36(x99711,x99712)+~P1(f317(f317(f319(f904(x99711,x99711)),f317(f317(f242(x99711,x99711),f317(x99713,f317(a102,f579(x99713,x99712,x99711)))),f317(x99713,f579(x99713,x99712,x99711)))),x99712)) % 199.88/200.99 [10226]P1(f317(f317(f225(f905(f904(f905(x102261,a894),f905(x102261,a894)),a894)),f317(f317(f279(f905(x102261,a894),f905(x102261,a894),f905(x102261,a894)),f310(x102261,x102262)),f317(f317(f91(f905(f904(f905(x102261,a894),f905(x102261,a894)),a894)),f310(x102261,x102263)),f317(f317(f299(f904(f905(x102261,a894),f905(x102261,a894))),f317(f317(f242(f905(x102261,a894),f905(x102261,a894)),f178(f905(x102261,a894))),f178(f905(x102261,a894)))),f178(f905(f904(f905(x102261,a894),f905(x102261,a894)),a894)))))),f310(x102261,x102262)))+~P1(f317(f317(f225(f905(f904(x102261,x102261),a894)),f317(f317(f279(x102261,x102261,x102261),x102262),x102263)),x102262)) % 199.88/200.99 [10227]P1(f317(f317(f225(f905(f904(f905(x102271,a894),f905(x102271,a894)),a894)),f317(f317(f279(f905(x102271,a894),f905(x102271,a894),f905(x102271,a894)),f308(x102271,x102272)),f317(f317(f91(f905(f904(f905(x102271,a894),f905(x102271,a894)),a894)),f308(x102271,x102273)),f317(f317(f299(f904(f905(x102271,a894),f905(x102271,a894))),f317(f317(f242(f905(x102271,a894),f905(x102271,a894)),f178(f905(x102271,a894))),f178(f905(x102271,a894)))),f178(f905(f904(f905(x102271,a894),f905(x102271,a894)),a894)))))),f308(x102271,x102272)))+~P1(f317(f317(f225(f905(f904(x102271,x102271),a894)),f317(f317(f279(x102271,x102271,x102271),x102272),x102273)),x102272)) % 199.88/200.99 [7387]~P1(f317(f317(f225(a898),x73872),x73871))+E(f317(f317(f23(a898),f317(a102,f317(f317(f23(a898),x73871),x73872))),x73873),f317(f317(f23(a898),f317(a102,x73871)),f317(f317(f74(a898),x73872),x73873))) % 199.88/200.99 [7427]~P3(x74271)+E(f317(f317(f74(x74271),f40(x74271,x74272,x74273)),f317(f317(f75(x74271),f317(f317(f30(x74271),x74272),x74273)),x74273)),x74272) % 199.88/200.99 [7625]E(f317(f317(f75(a898),f317(f94(a898),x76251)),f317(f317(f75(a898),f317(f94(a898),x76252)),x76253)),f317(f317(f75(a898),f317(f94(a898),f317(f317(f75(a1),x76251),x76252))),x76253))+P1(f317(f317(f226(a1),x76251),a77)) % 199.88/200.99 [8093]~P1(f317(f317(f225(a898),x80933),x80932))+P1(f317(f317(f225(a898),x80931),f317(f317(f23(a898),f317(f317(f74(a898),x80932),x80931)),x80933))) % 199.88/200.99 [8293]~P1(f317(f317(f225(a898),x82931),x82932))+E(f317(f317(f124(a898),f129(a898,f317(f292(a898,x82931),x82932))),f129(a898,f317(f292(a898,x82932),f317(f317(f74(a898),x82932),x82933)))),f129(a898,f317(f292(a898,x82931),f317(f317(f74(a898),x82932),x82933)))) % 199.88/200.99 [8549]~P1(f317(f28(x85491),x85492))+E(f317(a102,f317(f29(x85491),f317(f317(f23(f905(x85491,a894)),x85492),f317(f317(f299(x85491),x85493),f178(f905(x85491,a894)))))),f317(f29(x85491),f317(f317(f299(x85491),x85493),x85492))) % 199.88/200.99 [8588]~P1(f317(f28(x85881),x85882))+E(f317(f317(f74(a898),f72(a898)),f317(f29(x85881),f317(f317(f23(f905(x85881,a894)),x85882),f317(f317(f299(x85881),x85883),f178(f905(x85881,a894)))))),f317(f29(x85881),f317(f317(f299(x85881),x85883),x85882))) % 199.88/200.99 [8777]E(f317(f317(f23(a898),f317(f29(x87771),x87772)),f317(f29(x87771),f317(f317(f92(f905(x87771,a894)),x87772),x87773))),f317(f29(x87771),f317(f317(f23(f905(x87771,a894)),x87772),x87773)))+~P1(f317(f28(x87771),f317(f317(f92(f905(x87771,a894)),x87772),x87773))) % 199.88/200.99 [9028]~P6(f317(x90282,f892(x90282,x90283,x90281)))+E(f317(f90(a1),f317(f317(f9(x90281,a898),f317(f317(f8(a1,a898,x90281),a95),x90282)),x90283)),f317(f317(f9(x90281,a1),x90282),x90283)) % 199.88/200.99 [9029]~P6(f317(x90292,f420(x90292,x90293,x90291)))+E(f317(f90(a1),f317(f317(f6(x90291,a898),f317(f317(f8(a1,a898,x90291),a95),x90292)),x90293)),f317(f317(f6(x90291,a1),x90292),x90293)) % 199.88/200.99 [9069]~P1(f317(f28(x90691),x90693))+P1(f317(f317(f225(a898),f317(f317(f23(a898),f317(f29(x90691),x90692)),f317(f29(x90691),x90693))),f317(f29(x90691),f317(f317(f23(f905(x90691,a894)),x90692),x90693)))) % 199.88/200.99 [9096]P1(f317(f317(f319(x90961),f892(x90962,x90963,x90961)),x90963))+E(f317(f90(a1),f317(f317(f9(x90961,a898),f317(f317(f8(a1,a898,x90961),a95),x90962)),x90963)),f317(f317(f9(x90961,a1),x90962),x90963)) % 199.88/200.99 [9097]P1(f317(f317(f319(x90971),f420(x90972,x90973,x90971)),x90973))+E(f317(f90(a1),f317(f317(f6(x90971,a898),f317(f317(f8(a1,a898,x90971),a95),x90972)),x90973)),f317(f317(f6(x90971,a1),x90972),x90973)) % 199.88/200.99 [9161]E(f79(x91611,f317(f317(f7(x91611,f905(x91611,a894),a894),f319(x91611)),f317(f317(f23(f905(x91611,a894)),x91612),f317(f317(f299(x91611),x91613),f178(f905(x91611,a894)))))),f237(x91611,x91613,x91612))+P1(f317(f317(f225(f905(x91611,a894)),x91612),f317(f317(f299(x91611),x91613),f178(f905(x91611,a894))))) % 199.88/200.99 [9519]E(f317(f317(f144(f899(x95191),x95191),f317(f317(f7(f899(x95191),a898,x95191),f154(x95191)),x95192)),f317(f126(f899(x95191),f317(f317(f8(a898,a894,f899(x95191)),f317(f226(a898),x95192)),f179(f899(x95191)))),x95193)),f317(f317(f154(f899(x95191)),f169(x95191,x95193)),x95192))+~P1(f317(f317(f226(a898),x95192),f317(f179(f899(f899(x95191))),f169(x95191,x95193)))) % 199.88/200.99 [9606]E(f317(f126(x96061,x96062),x96063),f167(x96061,x96062,x96063))+P1(f317(f317(f319(x96061),f699(x96063,x96062,x96061)),f317(f162(x96061),f317(f317(f128(x96061),f317(f179(f899(x96061)),f167(x96061,x96062,x96063))),x96063)))) % 199.88/200.99 [9745]E(f317(f317(f128(x97451),f317(f179(f899(x97451)),f167(x97451,x97452,x97453))),x97453),f103(x97451))+~P1(f317(x97452,f317(f131(x97451),f317(f317(f128(x97451),f317(f179(f899(x97451)),f167(x97451,x97452,x97453))),x97453)))) % 199.88/200.99 [9837]~P1(f317(f317(f319(f904(x98371,x98371)),x98372),f297(x98371,x98373)))+P1(f317(f317(f319(f904(x98371,x98371)),x98372),f317(f317(f34(a898,f905(f904(x98371,x98371),a894)),f232(f905(a898,a894))),f317(f317(f7(a898,f905(f904(x98371,x98371),a894),f905(f904(x98371,x98371),a894)),f173(f904(x98371,x98371),a894)),x98373)))) % 199.88/200.99 [9897]~P1(f317(f317(f225(f905(x98971,a894)),f317(f317(f34(a898,f905(x98971,a894)),f317(f292(a898,f2(a898)),f471(x98973,x98972,x98971))),x98972)),x98973))+P1(f317(f317(f225(f905(x98971,a894)),f317(f317(f34(a898,f905(x98971,a894)),f232(f905(a898,a894))),x98972)),x98973)) % 199.88/200.99 [9943]~P1(f317(f317(f226(a1),f2(a1)),x99433))+P1(f317(f317(f226(a1),x99431),f317(f317(f74(a1),x99432),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f23(a1),x99432),x99431))),f72(a1))),x99433)))) % 199.88/200.99 [9957]~P36(x99571,f317(f317(f91(f905(f904(x99571,x99571),a894)),x99572),x99573))+P36(x99571,f317(f317(f91(f905(f904(x99571,x99571),a894)),f317(f317(f91(f905(f904(x99571,x99571),a894)),f317(f317(f279(x99571,x99571,x99571),x99572),x99572)),f317(f317(f279(x99571,x99571,x99571),x99573),x99572))),x99573)) % 199.88/200.99 [10032]P36(x100321,f317(f317(f91(f905(f904(x100321,x100321),a894)),x100322),x100323))+~P36(x100321,f317(f317(f91(f905(f904(x100321,x100321),a894)),f317(f317(f91(f905(f904(x100321,x100321),a894)),f317(f317(f279(x100321,x100321,x100321),x100322),x100322)),f317(f317(f279(x100321,x100321,x100321),x100323),x100322))),x100323)) % 199.88/200.99 [9610]~P128(x96101)+E(f317(f93(x96101),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x96102),x96103)),f178(f905(f904(a898,a898),a894)))))),f317(f317(f23(x96101),f317(f90(x96101),x96102)),f317(f90(x96101),x96103))) % 199.88/200.99 [9692]P1(f317(x96923,x96922))+E(f317(f252(x96921),f317(f317(f18(x96921,a894,a894),f317(f317(f8(a894,f905(a894,a894),x96921),a315),f317(f317(f7(x96921,x96921,a894),a314),x96922))),x96923)),f178(f905(x96921,a894))) % 199.88/200.99 [9694]~P1(f317(x96943,x96942))+E(f317(f252(x96941),f317(f317(f18(x96941,a894,a894),f317(f317(f8(a894,f905(a894,a894),x96941),a315),f317(f317(f7(x96941,x96941,a894),a314),x96942))),x96943)),f317(f317(f299(x96941),x96942),f178(f905(x96941,a894)))) % 199.88/200.99 [9923]E(x99231,x99232)+P1(f317(f317(f233(x99233,x99233,f317(f317(f8(f905(x99233,a894),f905(x99233,a894),x99233),f317(f8(a894,a894,x99233),a312)),a314)),x99231),x99232)) % 199.88/200.99 [10012]~E(x100121,x100122)+~P1(f317(f317(f233(x100123,x100123,f317(f317(f8(f905(x100123,a894),f905(x100123,a894),x100123),f317(f8(a894,a894,x100123),a312)),a314)),x100121),x100122)) % 199.88/200.99 [10024]~P1(f317(f28(x100241),x100243))+E(f317(f317(f58(x100241,f905(x100241,a894),f317(f317(f8(f905(x100241,a894),f905(f905(x100241,a894),f905(x100241,a894)),x100241),f317(f7(f905(x100241,a894),f905(x100241,a894),f905(x100241,a894)),f23(f905(x100241,a894)))),f317(f317(f7(x100241,f905(x100241,a894),f905(x100241,a894)),f299(x100241)),f178(f905(x100241,a894))))),x100242),x100243),f317(f317(f23(f905(x100241,a894)),x100242),x100243)) % 199.88/200.99 [10054]~P1(f317(f317(f226(a1),f2(a1)),x100543))+P1(f317(f317(f226(a1),f317(f317(f23(a1),x100541),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f23(a1),x100541),x100542))),f72(a1))),x100543))),x100542)) % 199.88/200.99 [10316]~P1(f317(f317(f319(x103161),x103163),f306(x103161,x103162)))+P1(f317(f305(x103161,f317(f317(f7(x103161,f905(f904(x103161,x103161),a894),f905(x103161,a894)),f317(f317(f8(f905(x103161,f905(f905(f904(x103161,x103161),a894),a894)),f905(f905(f904(x103161,x103161),a894),f905(x103161,a894)),x103161),f7(x103161,f905(f904(x103161,x103161),a894),a894)),f317(f317(f8(f905(x103161,f904(x103161,x103161)),f905(x103161,f905(f905(f904(x103161,x103161),a894),a894)),x103161),f317(f8(f904(x103161,x103161),f905(f905(f904(x103161,x103161),a894),a894),x103161),f319(f904(x103161,x103161)))),f242(x103161,x103161)))),x103162)),x103163)) % 199.88/200.99 [10329]P1(f317(f317(f319(x103291),x103292),f306(x103291,x103293)))+~P1(f317(f305(x103291,f317(f317(f7(x103291,f905(f904(x103291,x103291),a894),f905(x103291,a894)),f317(f317(f8(f905(x103291,f905(f905(f904(x103291,x103291),a894),a894)),f905(f905(f904(x103291,x103291),a894),f905(x103291,a894)),x103291),f7(x103291,f905(f904(x103291,x103291),a894),a894)),f317(f317(f8(f905(x103291,f904(x103291,x103291)),f905(x103291,f905(f905(f904(x103291,x103291),a894),a894)),x103291),f317(f8(f904(x103291,x103291),f905(f905(f904(x103291,x103291),a894),a894),x103291),f319(f904(x103291,x103291)))),f242(x103291,x103291)))),x103293)),x103292)) % 199.88/200.99 [9895]~P1(f317(f28(x98951),f317(f252(x98951),x98953)))+P1(f317(f28(x98951),f317(f252(x98951),f317(f317(f18(x98951,a894,a894),f317(f317(f8(a894,f905(a894,a894),x98951),a315),x98952)),x98953)))) % 199.88/200.99 [9896]~P1(f317(f28(x98961),f317(f252(x98961),x98962)))+P1(f317(f28(x98961),f317(f252(x98961),f317(f317(f18(x98961,a894,a894),f317(f317(f8(a894,f905(a894,a894),x98961),a315),x98962)),x98963)))) % 199.88/200.99 [9991]P1(f317(f28(x99911),f317(f252(x99911),x99912)))+~P1(f317(f28(x99911),f317(f252(x99911),f317(f317(f18(x99911,a894,a894),f317(f317(f8(a894,f905(a894,a894),x99911),a316),x99913)),x99912)))) % 199.88/200.99 [9992]P1(f317(f28(x99921),f317(f252(x99921),x99922)))+~P1(f317(f28(x99921),f317(f252(x99921),f317(f317(f18(x99921,a894,a894),f317(f317(f8(a894,f905(a894,a894),x99921),a316),x99922)),x99923)))) % 199.88/200.99 [10295]~P1(f317(f28(x102951),x102952))+P1(f317(f28(f899(x102951)),f317(f252(f899(x102951)),f317(f317(f18(f899(x102951),a894,a894),f317(f317(f8(a894,f905(a894,a894),f899(x102951)),a315),f317(f317(f7(f899(x102951),f905(x102951,a894),a894),f317(f317(f8(f905(x102951,a894),f905(f905(x102951,a894),a894),f899(x102951)),f225(f905(x102951,a894))),f162(x102951))),x102952))),f317(f317(f7(f899(x102951),a898,a894),f317(f317(f8(a898,f905(a898,a894),f899(x102951)),a314),f179(f899(x102951)))),x102953))))) % 199.88/200.99 [10296]~P1(f317(f28(x102961),x102962))+P1(f317(f28(f899(x102961)),f317(f252(f899(x102961)),f317(f317(f18(f899(x102961),a894,a894),f317(f317(f8(a894,f905(a894,a894),f899(x102961)),a315),f317(f317(f7(f899(x102961),f905(x102961,a894),a894),f317(f317(f8(f905(x102961,a894),f905(f905(x102961,a894),a894),f899(x102961)),f225(f905(x102961,a894))),f162(x102961))),x102962))),f317(f317(f7(f899(x102961),a898,a894),f317(f317(f8(a898,f905(a898,a894),f899(x102961)),f225(a898)),f179(f899(x102961)))),x102963))))) % 199.88/200.99 [10005]~P112(x100051)+E(f317(f317(f234(x100051),x100052),f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100053)),f317(f317(f75(x100051),f317(f317(f234(x100051),x100052),x100053)),f317(f317(f234(x100051),x100052),x100053))) % 199.88/200.99 [10035]~P82(x100351)+E(f317(f317(f234(x100351),f317(f317(f234(x100351),x100352),x100353)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x100351),x100352),f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100353))) % 199.88/200.99 [10091]~P128(x100911)+E(f317(f317(f234(x100911),f317(f73(x100911),x100912)),f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100913)),f317(f317(f234(x100911),x100912),f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100913))) % 199.88/200.99 [10234]~P111(x102341)+P1(f317(f317(f225(x102341),f2(x102341)),f317(f317(f74(x102341),f317(f317(f234(x102341),x102342),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102341),x102343),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))) % 199.88/200.99 [10101]~P112(x101011)+E(f317(f317(f234(x101011),x101012),f317(a102,f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101013))),f317(f317(f75(x101011),x101012),f317(f317(f75(x101011),f317(f317(f234(x101011),x101012),x101013)),f317(f317(f234(x101011),x101012),x101013)))) % 199.88/200.99 [10151]~P82(x101511)+E(f317(f317(f75(x101511),x101512),f317(f317(f234(x101511),f317(f317(f234(x101511),x101512),x101513)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101511),x101512),f317(a102,f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101513)))) % 199.88/200.99 [10191]~P111(x101911)+P1(f317(f317(f225(x101911),f2(x101911)),f317(f317(f234(x101911),x101912),f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x101913)))) % 199.88/200.99 [10271]~P93(x102711)+E(f317(f317(f23(x102711),f317(f317(f74(x102711),f317(f317(f234(x102711),x102712),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102711),x102713),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(f317(f75(x102711),f317(f317(f75(x102711),f317(f94(x102711),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102712)),x102713)),f317(f317(f234(x102711),f317(f317(f23(x102711),x102712),x102713)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.99 [10272]~P93(x102721)+E(f317(f317(f74(x102721),f317(f317(f74(x102721),f317(f317(f234(x102721),x102722),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102721),x102723),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(f317(f75(x102721),f317(f317(f75(x102721),f317(f94(x102721),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102722)),x102723)),f317(f317(f234(x102721),f317(f317(f74(x102721),x102722),x102723)),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/200.99 [7893]P24(x78931,x78932,x78933,x78934)+~E(f436(x78934,x78933,x78932,x78931),f447(x78934,x78933,x78932,x78931)) % 199.88/200.99 [8184]P33(x81841,x81842,x81843,x81844,f103(x81842))+~E(x81844,f103(x81841)) % 199.88/200.99 [8185]P33(x81851,x81852,x81853,f103(x81851),x81854)+~E(x81854,f103(x81852)) % 199.88/200.99 [8725]~P33(x87252,x87253,x87254,x87251,f103(x87253))+E(x87251,f103(x87252)) % 199.88/200.99 [8726]~P33(x87263,x87262,x87264,f103(x87263),x87261)+E(x87261,f103(x87262)) % 199.88/200.99 [5128]~P17(x51283,x51281,x51284)+E(f317(f317(x51281,x51282),x51282),x51282) % 199.88/200.99 [5374]P1(f317(x53742,x53744))+E(f317(f126(x53741,x53742),f159(x53741,x53743,x53744)),f103(x53741)) % 199.88/200.99 [5412]~E(x54124,f178(f905(x54121,a894)))+E(f317(f300(x54121,x54122,x54123),x54124),f178(f905(x54122,a894))) % 199.88/200.99 [5658]~P1(f317(x56582,x56584))+E(f317(f126(x56581,x56582),f159(x56581,x56583,x56584)),f159(x56581,x56583,x56584)) % 199.88/200.99 [5688]~E(f317(f300(x56882,x56883,x56884),x56881),f178(f905(x56883,a894)))+E(x56881,f178(f905(x56882,a894))) % 199.88/200.99 [5875]~P7(x58751,x58753)+E(f261(x58751,x58752,f260(x58751,x58753),x58754),x58754) % 199.88/200.99 [5991]~P108(x59912)+E(f317(f317(f138(x59911,x59912,x59913),x59914),f103(x59911)),f317(f317(f141(x59911),x59914),f103(x59911))) % 199.88/200.99 [6359]~E(x63591,f178(f905(x63592,a894)))+~P1(f317(f56(x63592,x63593,x63591),x63594)) % 199.88/200.99 [6382]~P58(x63821,x63823,x63824,x63822)+P1(f317(f28(x63821),x63822)) % 199.88/200.99 [6384]~P58(x63841,x63843,x63842,x63844)+P1(f317(f28(x63841),x63842)) % 199.88/200.99 [6392]~P58(x63922,x63923,x63924,x63921)+~E(x63921,f178(f905(x63922,a894))) % 199.88/200.99 [6426]~P109(x64261)+E(f317(f317(f92(f905(x64261,a894)),f317(f292(x64261,x64262),x64263)),f293(x64261,x64263,x64264)),f178(f905(x64261,a894))) % 199.88/200.99 [6453]~P1(f317(f317(x64533,x64534),x64532))+P1(f317(f317(f319(x64531),x64532),f284(x64531,x64533,x64534))) % 199.88/200.99 [6454]~P1(f317(f317(x64543,x64544),x64542))+P1(f317(f317(f319(x64541),x64542),f285(x64541,x64543,x64544))) % 199.88/200.99 [6455]~P1(f317(f317(x64553,x64552),x64554))+P1(f317(f317(f319(x64551),x64552),f286(x64551,x64553,x64554))) % 199.88/200.99 [6456]~P1(f317(f317(x64563,x64562),x64564))+P1(f317(f317(f319(x64561),x64562),f288(x64561,x64563,x64564))) % 199.88/200.99 [6602]~P109(x66021)+E(f317(f317(f92(f905(x66021,a894)),f296(x66021,x66022,x66023)),f293(x66021,x66023,x66024)),f178(f905(x66021,a894))) % 199.88/200.99 [6603]~P109(x66031)+E(f317(f317(f92(f905(x66031,a894)),f295(x66031,x66032,x66033)),f296(x66031,x66033,x66034)),f178(f905(x66031,a894))) % 199.88/200.99 [6604]~P109(x66041)+E(f317(f317(f92(f905(x66041,a894)),f295(x66041,x66042,x66043)),f295(x66041,x66043,x66044)),f178(f905(x66041,a894))) % 199.88/200.99 [6605]~P109(x66051)+E(f317(f317(f92(f905(x66051,a894)),f293(x66051,x66052,x66053)),f296(x66051,x66053,x66054)),f178(f905(x66051,a894))) % 199.88/200.99 [6606]~P109(x66061)+E(f317(f317(f92(f905(x66061,a894)),f293(x66061,x66062,x66063)),f295(x66061,x66063,x66064)),f178(f905(x66061,a894))) % 199.88/200.99 [6644]P1(f317(f317(x66441,x66442),f533(x66442,x66441)))+~P1(f317(f239(x66443,x66444,x66441),x66442)) % 199.88/200.99 [6726]~P108(x67262)+E(f317(f162(x67261),f140(x67261,x67262,x67263,x67264)),f317(f162(x67261),x67264)) % 199.88/200.99 [6778]~P144(x67781)+E(f180(x67781,x67782,f317(a102,x67783),x67784),f180(x67781,x67782,x67783,f317(x67782,x67784))) % 199.88/200.99 [6842]~P1(f317(f317(f319(x68424),x68423),f284(x68424,x68421,x68422)))+P1(f317(f317(x68421,x68422),x68423)) % 199.88/200.99 [6843]~P1(f317(f317(f319(x68434),x68433),f285(x68434,x68431,x68432)))+P1(f317(f317(x68431,x68432),x68433)) % 199.88/200.99 [6844]~P1(f317(f317(f319(x68444),x68442),f286(x68444,x68441,x68443)))+P1(f317(f317(x68441,x68442),x68443)) % 199.88/200.99 [6845]~P1(f317(f317(f319(x68454),x68452),f288(x68454,x68451,x68453)))+P1(f317(f317(x68451,x68452),x68453)) % 199.88/200.99 [6922]E(f317(f29(f903(x69221,x69222)),f303(x69221,x69222,x69223,x69224)),f2(a898))+P1(f317(f28(x69222),x69224)) % 199.88/200.99 [6923]E(f317(f29(f903(x69231,x69232)),f303(x69231,x69232,x69233,x69234)),f2(a898))+P1(f317(f28(x69231),x69233)) % 199.88/200.99 [7131]~P14(x71314,x71311,x71312)+E(f317(f67(x71311,x71311,x71311,f317(x71312,x71313)),f317(x71312,x71313)),f317(x71312,x71313)) % 199.88/200.99 [7372]E(f267(x73721,x73722,x73723,x73724),f317(f242(f905(a89,f905(a894,f901(f900(x73721)))),f904(a89,a89)),f36(x73721)))+~P1(f317(f317(f225(a89),x73723),f2(a89))) % 199.88/200.99 [8016]~E(x80162,x80163)+P1(f317(f317(f319(f904(x80161,x80161)),f317(f317(f242(x80161,x80161),x80162),x80163)),f297(x80161,x80164))) % 199.88/200.99 [8045]~P24(x80451,x80452,x80453,f232(f905(x80451,a894)))+E(f317(f71(x80451,x80452,f232(f905(x80451,a894)),x80453),f317(x80453,x80454)),x80454) % 199.88/200.99 [8046]~P24(x80461,x80462,x80463,f232(f905(x80461,a894)))+E(f317(f85(x80461,x80462,f232(f905(x80461,a894)),x80463),f317(x80463,x80464)),x80464) % 199.88/200.99 [8133]~P1(f317(f317(f319(f899(x81331)),f317(f317(f141(x81331),x81334),x81332)),f151(x81331,x81333)))+P1(f317(f317(f319(f899(x81331)),x81332),f151(x81331,x81333))) % 199.88/200.99 [8134]~P1(f317(f317(f319(f899(x81341)),f317(f317(f124(x81341),x81344),x81342)),f151(x81341,x81343)))+P1(f317(f317(f319(f899(x81341)),x81342),f151(x81341,x81343))) % 199.88/200.99 [8135]~P1(f317(f317(f319(f899(x81351)),f317(f317(f124(x81351),x81352),x81354)),f151(x81351,x81353)))+P1(f317(f317(f319(f899(x81351)),x81352),f151(x81351,x81353))) % 199.88/200.99 [8146]~P108(x81461)+P13(x81461,f317(f317(f144(x81462,x81461),x81463),f140(x81462,x81461,x81463,x81464))) % 199.88/200.99 [8251]P24(x82514,x82513,x82511,x82512)+E(f317(x82511,f436(x82512,x82511,x82513,x82514)),f317(x82511,f447(x82512,x82511,x82513,x82514))) % 199.88/200.99 [8358]~P24(x83582,x83581,x83584,x83583)+P24(x83581,x83582,f71(x83582,x83581,x83583,x83584),f317(f300(x83582,x83581,x83584),x83583)) % 199.88/200.99 [8498]P36(f904(x84982,x84984),f270(x84982,x84984,x84981,x84983))+P1(f317(x84981,f538(x84982,x84983,x84984,x84981))) % 199.88/200.99 [8613]E(x86131,x86132)+~P1(f317(f317(f319(f904(x86133,x86133)),f317(f317(f242(x86133,x86133),x86131),x86132)),f253(x86133,x86134))) % 199.88/200.99 [8677]~P1(f317(f28(f903(x86773,x86771)),f303(x86773,x86771,x86774,x86772)))+P1(f317(f28(x86771),x86772)) % 199.88/200.99 [8678]~P1(f317(f28(f903(x86781,x86783)),f303(x86781,x86783,x86782,x86784)))+P1(f317(f28(x86781),x86782)) % 199.88/200.99 [8687]~P24(x86871,x86872,x86873,x86874)+P25(x86871,x86872,x86873,x86874,f317(f300(x86871,x86872,x86873),x86874)) % 199.88/200.99 [8688]P11(x86881,x86882,x86883,x86884)+~E(f317(x86884,f821(x86882,x86884,x86883,x86881)),f317(x86884,f822(x86882,x86884,x86883,x86881))) % 199.88/200.99 [8778]~P25(x87782,x87783,x87784,x87781,f178(f905(x87783,a894)))+E(x87781,f178(f905(x87782,a894))) % 199.88/200.99 [8779]~P25(x87793,x87792,x87794,f178(f905(x87793,a894)),x87791)+E(x87791,f178(f905(x87792,a894))) % 199.88/200.99 [8871]P36(f904(x88711,x88712),f270(x88711,x88712,x88713,x88714))+~P36(x88712,f317(x88714,f538(x88711,x88714,x88712,x88713))) % 199.88/200.99 [9439]E(f317(f317(f149(x94391,x94392),f646(x94393,x94394,x94392,x94391)),f647(x94393,x94394,x94392,x94391)),x94394)+~P1(f317(f317(f319(f904(f899(x94391),f899(x94391))),f317(f317(f242(f899(x94391),f899(x94391)),x94392),x94394)),f147(x94391,x94393))) % 199.88/200.99 [9444]~P1(f317(f317(f319(f904(f899(x94441),f899(x94441))),f317(f317(f242(f899(x94441),f899(x94441)),x94442),x94443)),f135(x94441,x94444)))+P1(f317(f317(f319(f904(f899(x94441),f899(x94441))),f317(f317(f242(f899(x94441),f899(x94441)),x94442),x94443)),f137(x94441,x94444))) % 199.88/200.99 [9556]P1(f317(f28(x95561),x95562))+~P1(f317(f317(f319(f904(f905(x95561,a894),f905(x95561,a894))),f317(f317(f242(f905(x95561,a894),f905(x95561,a894)),x95563),x95562)),f308(x95561,x95564))) % 199.88/200.99 [9557]P1(f317(f28(x95571),x95572))+~P1(f317(f317(f319(f904(f905(x95571,a894),f905(x95571,a894))),f317(f317(f242(f905(x95571,a894),f905(x95571,a894)),x95572),x95573)),f308(x95571,x95574))) % 199.88/200.99 [9560]~E(x95601,f178(f905(x95602,a894)))+~P1(f317(f317(f319(f904(f905(x95602,a894),f905(x95602,a894))),f317(f317(f242(f905(x95602,a894),f905(x95602,a894)),x95603),x95601)),f308(x95602,x95604))) % 199.88/200.99 [10202]P11(x102021,x102022,x102023,x102024)+~P1(f317(f317(f247(x102021,x102021,a894),f317(f317(f7(x102021,f905(x102021,x102022),f905(x102021,a894)),f317(f317(f8(f905(x102022,a894),f905(f905(x102021,x102022),f905(x102021,a894)),x102021),f8(x102022,a894,x102021)),f317(f317(f8(x102022,f905(x102022,a894),x102021),a314),x102024))),x102024)),f550(x102024,x102023,x102022,x102021))) % 199.88/200.99 [5026]~E(x50262,f103(x50261))+E(f317(f317(f149(x50261,x50262),x50263),x50264),f103(x50261)) % 199.88/200.99 [5027]~E(x50274,f103(x50271))+E(f317(f317(f144(x50271,x50272),x50273),x50274),f103(x50272)) % 199.88/200.99 [5261]E(x52611,f103(x52612))+~E(f317(f317(f144(x52612,x52613),x52614),x52611),f103(x52613)) % 199.88/200.99 [5262]E(x52621,f103(x52622))+~E(f317(f317(f149(x52622,x52621),x52623),x52624),f103(x52622)) % 199.88/200.99 [5299]E(x52991,x52992)+~E(f317(f317(f124(x52993),x52994),x52991),f317(f317(f124(x52993),x52994),x52992)) % 199.88/200.99 [5300]E(x53001,x53002)+~E(f317(f317(f124(x53003),x53001),x53004),f317(f317(f124(x53003),x53002),x53004)) % 199.88/200.99 [5449]P1(f317(x54493,x54492))+E(f160(x54491,x54492,f317(f126(x54491,x54493),x54494)),f317(f126(x54491,x54493),x54494)) % 199.88/200.99 [5451]~P1(f317(x54512,x54513))+P32(x54511,x54512,f317(f317(f141(x54511),x54513),x54514)) % 199.88/200.99 [5461]E(x54611,x54612)+~E(f129(a898,f317(f292(a898,x54611),x54613)),f317(f317(f141(a898),x54612),x54614)) % 199.88/200.99 [5510]~P26(x55102,x55103)+P26(x55101,f317(f317(f68(x55102,x55101),x55103),x55104)) % 199.88/200.99 [5511]~P36(x55112,x55113)+P36(x55111,f317(f317(f278(x55112,x55111),x55113),x55114)) % 199.88/200.99 [5512]~P37(x55122,x55123)+P37(x55121,f317(f317(f278(x55122,x55121),x55123),x55124)) % 199.88/200.99 [5513]~P51(x55132,x55133)+P51(x55131,f317(f317(f278(x55132,x55131),x55133),x55134)) % 199.88/200.99 [5642]~P32(x56421,x56422,x56424)+P32(x56421,x56422,f317(f317(f141(x56421),x56423),x56424)) % 199.88/200.99 [5643]~P32(x56431,x56432,x56434)+P32(x56431,x56432,f317(f317(f124(x56431),x56433),x56434)) % 199.88/200.99 [5644]~P32(x56441,x56442,x56443)+P32(x56441,x56442,f317(f317(f124(x56441),x56443),x56444)) % 199.88/200.99 [5731]~E(x57311,f103(x57312))+~E(f317(f317(f124(x57312),x57313),f317(f317(f141(x57312),x57314),f103(x57312))),x57311) % 199.88/200.99 [5756]~P30(x57563,x57561,f317(f317(f141(x57563),x57562),x57564))+P1(f317(x57561,x57562)) % 199.88/200.99 [5766]E(f104(x57661,x57662),x57663)+~E(f317(f317(f124(x57661),x57663),f317(f317(f141(x57661),x57664),f103(x57661))),x57662) % 199.88/200.99 [5767]E(f134(x57671,x57672),x57673)+~E(f317(f317(f124(x57671),x57674),f317(f317(f141(x57671),x57673),f103(x57671))),x57672) % 199.88/200.99 [5877]~E(f129(a898,f317(f292(a898,x58771),x58772)),f317(f317(f141(a898),x58773),x58774))+P1(f317(f317(f226(a898),x58771),x58772)) % 199.88/200.99 [5895]P30(x58951,x58952,x58953)+~P30(x58951,x58952,f317(f317(f141(x58951),x58954),x58953)) % 199.88/200.99 [5896]P30(x58961,x58962,x58963)+~P30(x58961,x58962,f317(f317(f124(x58961),x58964),x58963)) % 199.88/200.99 [5897]P30(x58971,x58972,x58973)+~P30(x58971,x58972,f317(f317(f124(x58971),x58973),x58974)) % 199.88/200.99 [6096]E(x60961,f317(f317(f124(x60962),f317(f158(x60962),x60963)),f317(f317(f141(x60962),x60964),f103(x60962))))+~E(f317(f158(x60962),x60961),f317(f317(f141(x60962),x60964),x60963)) % 199.88/200.99 [6278]~P109(x62781)+E(f317(f317(f92(f905(x62781,a894)),f317(f292(x62781,x62782),x62783)),f317(f292(x62781,x62783),x62784)),f178(f905(x62781,a894))) % 199.88/200.99 [6289]E(f317(f317(f154(x62891),f159(x62891,x62892,x62893)),x62894),x62893)+~P1(f317(f317(f226(a898),x62894),x62892)) % 199.88/200.99 [6316]~P77(x63161)+E(f317(f155(x63161),f317(f317(f144(a1,x63161),x63162),f168(x63163,x63164))),f317(f317(f6(a1,x63161),x63162),f317(f162(a1),f168(x63163,x63164)))) % 199.88/200.99 [6317]~P77(x63171)+E(f317(f317(f6(a1,x63171),x63172),f317(f162(a1),f168(x63173,x63174))),f317(f155(x63171),f317(f317(f144(a1,x63171),x63172),f168(x63173,x63174)))) % 199.88/200.99 [6466]~E(x64662,f317(f317(f124(x64661),f317(f158(x64661),x64664)),f317(f317(f141(x64661),x64663),f103(x64661))))+E(f317(f158(x64661),x64662),f317(f317(f141(x64661),x64663),x64664)) % 199.88/200.99 [6482]~P19(x64822,x64823,x64824,x64821)+E(f317(x64821,f178(f905(x64822,a894))),f25(x64823)) % 199.88/200.99 [6510]~P109(x65101)+E(f317(f317(f92(f905(x65101,a894)),f296(x65101,x65102,x65103)),f317(f292(x65101,x65103),x65104)),f178(f905(x65101,a894))) % 199.88/200.99 [6729]E(x67291,f178(f905(x67292,a894)))+~E(f303(x67293,x67292,x67294,x67291),f178(f905(f903(x67293,x67292),a894))) % 199.88/200.99 [6730]E(x67301,f178(f905(x67302,a894)))+~E(f303(x67302,x67303,x67301,x67304),f178(f905(f903(x67302,x67303),a894))) % 199.88/200.99 [6799]~P108(x67992)+E(f317(f179(f899(x67991)),f140(x67991,x67992,x67993,x67994)),f317(f179(f899(x67991)),x67994)) % 199.88/200.99 [6810]~P1(f317(f240(x68103,x68104,x68101),x68102))+P1(f317(f317(x68101,f521(x68102,x68101)),x68102)) % 199.88/200.99 [6856]~P1(f317(f28(x68562),x68564))+P1(f317(f28(x68561),f317(f300(x68562,x68561,x68563),x68564))) % 199.88/200.99 [7092]~P24(x70922,x70921,x70923,x70924)+E(f317(f29(x70921),f317(f300(x70922,x70921,x70923),x70924)),f317(f29(x70922),x70924)) % 199.88/200.99 [7110]E(f317(f300(x71101,x71102,x71103),f317(f301(x71101,x71102,x71103),x71104)),x71104)+~E(f317(f300(x71101,x71102,x71103),f232(f905(x71101,a894))),f232(f905(x71102,a894))) % 199.88/200.99 [7526]~P24(x75261,x75262,x75263,f232(f905(x75261,a894)))+E(f317(f301(x75261,x75262,x75263),f317(f300(x75261,x75262,x75263),x75264)),x75264) % 199.88/200.99 [7810]E(x78101,x78102)+~P1(f317(f317(f319(x78103),x78101),f317(f162(x78103),f159(x78103,x78104,x78102)))) % 199.88/200.99 [7819]~E(x78191,f2(a898))+~P1(f317(f317(f319(x78192),x78193),f317(f162(x78192),f159(x78192,x78191,x78194)))) % 199.88/200.99 [7852]P1(f317(x78521,x78522))+~P1(f317(f317(f319(x78523),x78522),f317(f162(x78523),f167(x78523,x78521,x78524)))) % 199.88/200.99 [7962]~P1(f317(f317(f319(f899(x79621)),f317(f317(f141(x79621),x79622),x79624)),f151(x79621,x79623)))+P1(f317(f317(f319(x79621),x79622),x79623)) % 199.88/200.99 [8090]~P1(f317(f317(f319(x80901),x80902),f317(f162(x80901),f166(x80901,x80903,x80904))))+P1(f317(f317(f319(x80901),x80902),f317(f162(x80901),x80903))) % 199.88/200.99 [8091]~P1(f317(f317(f319(x80911),x80912),f317(f162(x80911),f160(x80911,x80914,x80913))))+P1(f317(f317(f319(x80911),x80912),f317(f162(x80911),x80913))) % 199.88/200.99 [8092]~P1(f317(f317(f319(x80921),x80922),f317(f162(x80921),f167(x80921,x80924,x80923))))+P1(f317(f317(f319(x80921),x80922),f317(f162(x80921),x80923))) % 199.88/200.99 [8102]E(f317(f179(f899(x81021)),x81022),x81023)+~P1(f317(f317(f319(f899(x81021)),x81022),f317(f162(f899(x81021)),f50(x81021,x81023,x81024)))) % 199.88/200.99 [8197]P1(f317(x81973,x81972))+E(f317(f126(x81971,f317(f317(f8(a894,a894,x81971),a312),f317(a314,x81972))),f317(f126(x81971,x81973),x81974)),f317(f126(x81971,x81973),x81974)) % 199.88/200.99 [8309]E(f317(f317(f154(x83091),f167(x83091,x83092,x83093)),x83094),f317(f317(f154(x83091),x83093),x83094))+~P1(f317(f317(f226(a898),x83094),f317(f179(f899(x83091)),f167(x83091,x83092,x83093)))) % 199.88/200.99 [8396]~P77(x83961)+E(f317(f317(f6(a898,x83961),f317(f317(f8(a898,x83961,a898),x83962),a102)),f317(f292(a898,x83963),x83964)),f317(f317(f6(a898,x83961),x83962),f317(f292(a898,f317(a102,x83963)),f317(a102,x83964)))) % 199.88/200.99 [8405]~P77(x84051)+E(f317(f317(f6(a898,x84051),f317(f317(f8(a898,x84051,a898),x84052),a102)),f293(a898,x84053,x84054)),f317(f317(f6(a898,x84051),x84052),f293(a898,f317(a102,x84053),f317(a102,x84054)))) % 199.88/200.99 [8534]~P24(x85341,x85343,x85344,f232(f905(x85341,a894)))+P24(x85341,f905(x85342,x85343),f317(f317(f8(x85343,f905(x85342,x85343),x85341),f16(x85343,x85342)),x85344),f232(f905(x85341,a894))) % 199.88/200.99 [8619]~P24(x86192,x86191,x86194,x86193)+E(f317(f300(x86191,x86192,f71(x86192,x86191,x86193,x86194)),f317(f300(x86192,x86191,x86194),x86193)),x86193) % 199.88/200.99 [8679]~P1(f317(f317(f319(f904(x86791,x86791)),f317(f317(f242(x86791,x86791),x86792),x86794)),f253(x86791,x86793)))+P1(f317(f317(f319(x86791),x86792),x86793)) % 199.88/200.99 [8802]~P24(x88022,x88021,x88023,f232(f905(x88022,a894)))+E(f317(f300(x88021,x88022,f85(x88022,x88021,f232(f905(x88022,a894)),x88023)),f317(f300(x88022,x88021,x88023),x88024)),x88024) % 199.88/200.99 [8877]~P25(x88771,x88772,x88773,x88774,f232(f905(x88772,a894)))+E(f317(f300(x88771,x88772,x88773),f232(f905(x88771,a894))),f232(f905(x88772,a894))) % 199.88/200.99 [8910]~E(f317(f317(f6(x89101,a898),x89104),x89103),f317(a102,x89102))+P1(f317(f317(f319(x89101),f558(x89102,x89103,x89104,x89101)),x89103)) % 199.88/200.99 [8931]~E(f317(f317(f6(x89314,a898),x89311),x89313),f317(a102,x89312))+P1(f317(f317(f226(a898),f2(a898)),f317(x89311,f558(x89312,x89313,x89311,x89314)))) % 199.88/200.99 [8942]~P1(f317(f28(x89422),x89424))+P1(f317(f317(f225(a898),f317(f29(x89421),f317(f300(x89422,x89421,x89423),x89424))),f317(f29(x89422),x89424))) % 199.88/200.99 [8943]E(f317(f317(f242(x89431,x89432),f622(x89433,x89434,x89432,x89431)),f617(x89433,x89434,x89432,x89431)),x89434)+~P1(f317(f317(f319(f904(x89431,x89432)),x89434),f317(f276(x89432,x89431),x89433))) % 199.88/200.99 [8951]P24(x89511,x89512,x89513,x89514)+P1(f317(f317(f319(x89511),f436(x89514,x89513,x89512,x89511)),x89514)) % 199.88/200.99 [8952]P24(x89521,x89522,x89523,x89524)+P1(f317(f317(f319(x89521),f447(x89524,x89523,x89522,x89521)),x89524)) % 199.88/200.99 [9020]P11(x90201,x90202,x90203,x90204)+P1(f317(f317(f319(f904(x90201,x90201)),f550(x90204,x90203,x90202,x90201)),x90203)) % 199.88/200.99 [9074]P1(f317(x90741,x90742))+~P1(f317(x90741,f317(f317(f242(x90743,x90744),f882(x90744,x90743,x90741)),f883(x90744,x90743,x90741)))) % 199.88/200.99 [9091]E(f317(f179(f899(x90911)),x90912),f317(f179(f899(x90911)),x90913))+~P1(f317(f317(f319(f904(f899(x90911),f899(x90911))),f317(f317(f242(f899(x90911),f899(x90911)),x90912),x90913)),f135(x90911,x90914))) % 199.88/200.99 [9092]E(f317(f179(f899(x90921)),x90922),f317(f179(f899(x90921)),x90923))+~P1(f317(f317(f319(f904(f899(x90921),f899(x90921))),f317(f317(f242(f899(x90921),f899(x90921)),x90922),x90923)),f147(x90921,x90924))) % 199.88/200.99 [9095]E(f317(f179(f899(x90951)),x90952),f317(f179(f899(x90951)),x90953))+~P1(f317(f317(f319(f904(f899(x90951),f899(x90951))),f317(f317(f242(f899(x90951),f899(x90951)),x90952),x90953)),f148(x90951,x90954))) % 199.88/200.99 [9165]P1(f317(f317(f225(a898),f145(x91651,x91652,x91653)),f145(x91651,x91654,x91653)))+P1(f317(f317(f319(x91651),f645(x91654,x91652,x91653,x91651)),f317(f162(x91651),x91653))) % 199.88/200.99 [9169]E(f317(f179(f899(x91691)),x91692),f317(f179(f899(x91691)),x91693))+~P1(f317(f317(f319(f904(f899(x91691),f899(x91691))),f317(f317(f242(f899(x91691),f899(x91691)),x91692),x91693)),f297(f899(x91691),f147(x91691,x91694)))) % 199.88/200.99 [9287]P1(f317(f317(f277(a898),x92871),x92872))+P1(f317(f317(f225(f905(a898,a894)),f280(a898,f277(a898),x92871,x92872)),f280(a898,f277(a898),x92873,x92874))) % 199.88/200.99 [9410]~P24(x94101,x94102,x94103,x94104)+~P1(f317(f317(f226(a898),f317(f29(x94102),f317(f300(x94101,x94102,x94103),x94104))),f317(f29(x94101),x94104))) % 199.88/200.99 [9457]~P1(f317(f317(f319(f904(f899(x94571),f899(x94571))),f317(f317(f242(f899(x94571),f899(x94571)),x94572),x94573)),f147(x94571,x94574)))+P1(f317(f317(f319(f904(f899(x94571),f899(x94571))),f317(f317(f242(f899(x94571),f899(x94571)),x94572),x94573)),f148(x94571,f297(x94571,x94574)))) % 199.88/200.99 [9461]~P1(f317(f317(f319(f904(f899(x94611),f899(x94611))),f317(f317(f242(f899(x94611),f899(x94611)),x94612),x94613)),f148(x94611,x94614)))+P1(f317(f317(f319(f904(f899(x94611),f899(x94611))),f317(f317(f242(f899(x94611),f899(x94611)),x94612),x94613)),f297(f899(x94611),f147(x94611,x94614)))) % 199.88/200.99 [9477]P1(f317(f317(f319(f904(x94771,x94771)),f317(f317(f242(x94771,x94771),x94772),x94773)),f297(x94771,x94774)))+~P1(f317(f317(f319(f904(x94771,x94771)),f317(f317(f242(x94771,x94771),x94772),x94773)),f317(f317(f279(x94771,x94771,x94771),x94774),f297(x94771,x94774)))) % 199.88/200.99 [9551]P1(f317(f317(f277(a898),x95511),x95512))+~P1(f317(f317(f226(f905(a898,a894)),f280(a898,f277(a898),x95513,x95514)),f280(a898,f277(a898),x95511,x95512))) % 199.88/200.99 [9673]E(f317(f317(f124(x96731),f662(x96732,x96733,x96734,x96731)),f317(f317(f141(x96731),f663(x96732,x96733,x96734,x96731)),f665(x96732,x96733,x96734,x96731))),x96734)+~P1(f317(f317(f319(f904(f899(x96731),f899(x96731))),f317(f317(f242(f899(x96731),f899(x96731)),x96734),x96733)),f147(x96731,x96732))) % 199.88/200.99 [9674]E(f317(f317(f124(x96741),f662(x96742,x96743,x96744,x96741)),f317(f317(f141(x96741),f664(x96742,x96743,x96744,x96741)),f665(x96742,x96743,x96744,x96741))),x96743)+~P1(f317(f317(f319(f904(f899(x96741),f899(x96741))),f317(f317(f242(f899(x96741),f899(x96741)),x96744),x96743)),f147(x96741,x96742))) % 199.88/200.99 [9752]P1(f317(f317(f319(f904(x97521,x97521)),f317(f317(f242(x97521,x97521),x97522),f610(x97523,x97524,x97522,x97521))),f297(x97521,x97523)))+~P1(f317(f317(f319(f904(x97521,x97521)),f317(f317(f242(x97521,x97521),x97522),x97524)),f317(f317(f279(x97521,x97521,x97521),x97523),f297(x97521,x97523)))) % 199.88/200.99 [9820]P1(f317(f317(f225(a898),f145(x98201,x98202,x98203)),f145(x98201,x98204,x98203)))+~P1(f317(f317(f226(a898),f317(x98202,f645(x98204,x98202,x98203,x98201))),f317(x98204,f645(x98204,x98202,x98203,x98201)))) % 199.88/200.99 [9891]P1(f317(f317(f319(f904(x98911,x98911)),f317(f317(f242(x98911,x98911),f605(x98912,x98913,x98914,x98911)),x98913)),f297(x98911,x98912)))+~P1(f317(f317(f319(f904(x98911,x98911)),f317(f317(f242(x98911,x98911),x98914),x98913)),f317(f317(f279(x98911,x98911,x98911),x98912),f297(x98911,x98912)))) % 199.88/200.99 [5280]~E(x52802,x52803)+E(f160(x52801,x52802,f317(f317(f141(x52801),x52803),x52804)),x52804) % 199.88/200.99 [5405]P1(f317(x54052,x54053))+E(f167(x54051,x54052,f317(f317(f141(x54051),x54053),x54054)),f103(x54051)) % 199.88/200.99 [5473]~P91(x54732)+E(f317(f317(f73(f905(x54731,x54732)),x54733),x54734),f317(f73(x54732),f317(x54733,x54734))) % 199.88/200.99 [5486]~E(x54862,f2(a898))+E(f317(f317(f128(x54861),x54862),f317(f317(f141(x54861),x54863),x54864)),f317(f317(f141(x54861),x54863),x54864)) % 199.88/200.99 [5487]P1(f317(x54872,x54873))+E(f317(f126(x54871,x54872),f317(f317(f141(x54871),x54873),x54874)),f317(f126(x54871,x54872),x54874)) % 199.88/200.99 [5625]~E(x56252,x56254)+P1(f317(f317(f317(f299(x56251),x56252),x56253),x56254)) % 199.88/200.99 [5633]E(x56331,f103(x56332))+E(f134(x56333,f317(f317(f144(x56332,x56333),x56334),x56331)),f317(x56334,f134(x56332,x56331))) % 199.88/200.99 [5647]~E(x56471,f57(x56472,x56474))+E(f317(x56471,f317(f317(f299(x56472),x56473),f178(f905(x56472,a894)))),x56473) % 199.88/200.99 [5683]E(x56831,f103(x56832))+E(f317(f131(x56833),f317(f317(f144(x56832,x56833),x56834),x56831)),f317(x56834,f317(f131(x56832),x56831))) % 199.88/200.99 [5786]~P1(f317(x57863,x57864))+P1(f317(f317(f317(f299(x57861),x57862),x57863),x57864)) % 199.88/200.99 [5914]~P18(x59142,x59144,x59141)+E(f317(x59141,f317(f317(f299(x59142),x59143),f178(f905(x59142,a894)))),x59143) % 199.88/200.99 [5940]~E(x59402,x59403)+P1(f317(f317(f319(x59401),x59402),f317(f317(f299(x59401),x59403),x59404))) % 199.88/200.99 [5945]~P112(x59451)+E(f317(f317(f74(x59451),x59452),f317(f317(f74(x59451),x59453),x59454)),f317(f317(f74(x59451),x59453),f317(f317(f74(x59451),x59452),x59454))) % 199.88/200.99 [5946]~P112(x59461)+E(f317(f317(f75(x59461),x59462),f317(f317(f75(x59461),x59463),x59464)),f317(f317(f75(x59461),x59463),f317(f317(f75(x59461),x59462),x59464))) % 199.88/200.99 [5948]~P108(x59481)+E(f317(f317(f229(x59481),x59482),f317(f317(f229(x59481),x59483),x59484)),f317(f317(f229(x59481),x59483),f317(f317(f229(x59481),x59482),x59484))) % 199.88/200.99 [5950]~P108(x59501)+E(f317(f317(f224(x59501),x59502),f317(f317(f224(x59501),x59503),x59504)),f317(f317(f224(x59501),x59503),f317(f317(f224(x59501),x59502),x59504))) % 199.88/200.99 [5951]~P98(x59511)+E(f317(f317(f91(x59511),x59512),f317(f317(f91(x59511),x59513),x59514)),f317(f317(f91(x59511),x59513),f317(f317(f91(x59511),x59512),x59514))) % 199.88/200.99 [5953]~P103(x59531)+E(f317(f317(f91(x59531),x59532),f317(f317(f91(x59531),x59533),x59534)),f317(f317(f91(x59531),x59533),f317(f317(f91(x59531),x59532),x59534))) % 199.88/200.99 [5954]~P98(x59541)+E(f317(f317(f92(x59541),x59542),f317(f317(f92(x59541),x59543),x59544)),f317(f317(f92(x59541),x59543),f317(f317(f92(x59541),x59542),x59544))) % 199.88/200.99 [5956]~P104(x59561)+E(f317(f317(f92(x59561),x59562),f317(f317(f92(x59561),x59563),x59564)),f317(f317(f92(x59561),x59563),f317(f317(f92(x59561),x59562),x59564))) % 199.88/200.99 [5963]E(x59631,x59632)+E(f160(x59633,x59631,f317(f317(f141(x59633),x59632),x59634)),f317(f317(f141(x59633),x59632),f160(x59633,x59631,x59634))) % 199.88/200.99 [5978]~P1(f317(x59782,x59783))+E(f317(f126(x59781,x59782),f317(f317(f141(x59781),x59783),x59784)),f317(f317(f141(x59781),x59783),f317(f126(x59781,x59782),x59784))) % 199.88/200.99 [6118]~P1(f317(x61182,x61183))+E(f167(x61181,x61182,f317(f317(f141(x61181),x61183),x61184)),f317(f317(f141(x61181),x61183),f167(x61181,x61182,x61184))) % 199.88/200.99 [6182]E(x61821,f178(f905(x61822,a894)))+E(f317(f317(f34(x61822,f905(x61823,a894)),x61821),f317(f16(f905(x61823,a894),x61822),x61824)),x61824) % 199.88/200.99 [6183]E(x61831,f178(f905(x61832,a894)))+E(f317(f317(f35(x61832,f905(x61833,a894)),x61831),f317(f16(f905(x61833,a894),x61832),x61834)),x61834) % 199.88/200.99 [6192]~E(x61924,f178(f905(x61922,a894)))+E(f317(f317(f244(x61921,x61922),x61923),f317(f16(f905(x61922,a894),x61921),x61924)),f178(f905(f904(x61921,x61922),a894))) % 199.88/200.99 [6193]~E(x61933,f178(f905(x61931,a894)))+E(f317(f317(f244(x61931,x61932),x61933),f317(f16(f905(x61932,a894),x61931),x61934)),f178(f905(f904(x61931,x61932),a894))) % 199.88/200.99 [6249]E(x62491,f2(a898))+E(f317(f317(f128(x62492),x62491),f317(f317(f141(x62492),x62493),x62494)),f317(f317(f128(x62492),f317(f317(f23(a898),x62491),f72(a898))),x62494)) % 199.88/200.99 [6270]E(x62701,f178(f905(x62702,a894)))+E(f317(f300(x62702,x62703,f317(f16(x62703,x62702),x62704)),x62701),f317(f317(f299(x62703),x62704),f178(f905(x62703,a894)))) % 199.88/200.99 [6273]E(f317(f301(x62731,x62732,f317(f16(x62732,x62731),x62733)),x62734),f178(f905(x62731,a894)))+P1(f317(f317(f319(x62732),x62733),x62734)) % 199.88/200.99 [6342]~E(x63423,f178(f905(x63421,a894)))+E(f317(f317(f34(x63421,f905(x63422,a894)),x63423),f317(f16(f905(x63422,a894),x63421),x63424)),f178(f905(x63422,a894))) % 199.88/200.99 [6343]~E(x63433,f178(f905(x63431,a894)))+E(f317(f317(f35(x63431,f905(x63432,a894)),x63433),f317(f16(f905(x63432,a894),x63431),x63434)),f232(f905(x63432,a894))) % 199.88/200.99 [6345]~P3(x63451)+E(f40(x63451,f317(f317(f75(x63451),x63452),x63453),f317(f317(f75(x63451),x63452),x63454)),f317(f317(f75(x63451),x63452),f40(x63451,x63453,x63454))) % 199.88/200.99 [6520]E(f317(f301(x65201,x65202,f317(f16(x65202,x65201),x65203)),x65204),f232(f905(x65201,a894)))+~P1(f317(f317(f319(x65202),x65203),x65204)) % 199.88/200.99 [6543]~P1(f317(f317(f319(x65431),x65432),x65434))+P1(f317(f317(f319(x65431),x65432),f317(f317(f299(x65431),x65433),x65434))) % 199.88/200.99 [6548]P1(f317(x65481,x65482))+~P1(f317(f150(x65483,x65481),f317(f317(f141(x65483),x65482),x65484))) % 199.88/200.99 [6557]~E(x65573,f317(f317(f23(a898),f317(f179(f899(x65571)),x65572)),f72(a898)))+E(f104(x65571,f317(f317(f149(x65571,x65572),x65573),x65574)),f104(x65571,x65572)) % 199.88/200.99 [6580]~P108(x65801)+E(f317(f317(f92(f905(x65801,a894)),f317(f291(x65801),x65802)),f293(x65801,x65803,x65804)),f293(x65801,x65803,f317(f317(f229(x65801),x65802),x65804))) % 199.88/200.99 [6581]~P108(x65811)+E(f317(f317(f92(f905(x65811,a894)),f317(f273(x65811),x65812)),f293(x65811,x65813,x65814)),f293(x65811,f317(f317(f224(x65811),x65812),x65813),x65814)) % 199.88/200.99 [6597]E(f317(f317(f92(f905(x65971,a894)),x65972),f317(f317(f299(x65971),x65973),x65974)),f317(f317(f92(f905(x65971,a894)),x65972),x65974))+P1(f317(f317(f319(x65971),x65973),x65972)) % 199.88/200.99 [6609]E(f160(x66091,x66092,f317(f317(f124(x66091),x66093),x66094)),f317(f317(f124(x66091),x66093),f160(x66091,x66092,x66094)))+P1(f317(f317(f319(x66091),x66092),f317(f162(x66091),x66093))) % 199.88/200.99 [6614]~P82(x66141)+E(f317(f317(f75(x66141),f317(f317(f234(x66141),x66142),x66143)),f317(f317(f234(x66141),x66142),x66144)),f317(f317(f234(x66141),x66142),f317(f317(f74(a898),x66143),x66144))) % 199.88/200.99 [6615]~P112(x66151)+E(f317(f317(f75(x66151),f317(f317(f234(x66151),x66152),x66153)),f317(f317(f234(x66151),x66152),x66154)),f317(f317(f234(x66151),x66152),f317(f317(f74(a898),x66153),x66154))) % 199.88/200.99 [6652]~P112(x66521)+E(f317(f317(f74(x66521),f317(f317(f75(x66521),x66522),x66523)),f317(f317(f75(x66521),x66522),x66524)),f317(f317(f75(x66521),x66522),f317(f317(f74(x66521),x66523),x66524))) % 199.88/200.99 [6653]~P108(x66531)+E(f317(f317(f224(x66531),f317(f317(f229(x66531),x66532),x66533)),f317(f317(f229(x66531),x66532),x66534)),f317(f317(f229(x66531),x66532),f317(f317(f224(x66531),x66533),x66534))) % 199.88/200.99 [6654]~P108(x66541)+E(f317(f317(f229(x66541),f317(f317(f224(x66541),x66542),x66543)),f317(f317(f224(x66541),x66542),x66544)),f317(f317(f224(x66541),x66542),f317(f317(f229(x66541),x66543),x66544))) % 199.88/200.99 [6655]~P101(x66551)+E(f317(f317(f92(x66551),f317(f317(f91(x66551),x66552),x66553)),f317(f317(f91(x66551),x66552),x66554)),f317(f317(f91(x66551),x66552),f317(f317(f92(x66551),x66553),x66554))) % 199.88/200.99 [6656]~P101(x66561)+E(f317(f317(f91(x66561),f317(f317(f92(x66561),x66562),x66563)),f317(f317(f92(x66561),x66562),x66564)),f317(f317(f92(x66561),x66562),f317(f317(f91(x66561),x66563),x66564))) % 199.88/200.99 [6690]~P3(x66901)+E(f40(x66901,f317(f317(f75(x66901),x66902),x66903),f317(f317(f75(x66901),x66904),x66903)),f317(f317(f75(x66901),f40(x66901,x66902,x66904)),x66903)) % 199.88/200.99 [6693]~E(f317(f179(f899(x66931)),x66933),f317(f179(f899(x66932)),x66934))+E(f317(f317(f144(f904(x66931,x66932),x66932),f246(x66931,x66932)),f317(f317(f171(x66931,x66932),x66933),x66934)),x66934) % 199.88/200.99 [6694]~E(f317(f179(f899(x66941)),x66943),f317(f179(f899(x66942)),x66944))+E(f317(f317(f144(f904(x66941,x66942),x66941),f241(x66941,x66942)),f317(f317(f171(x66941,x66942),x66943),x66944)),x66943) % 199.88/200.99 [6699]P1(f317(f150(x66991,x66992),x66993))+~P1(f317(f150(x66991,x66992),f317(f317(f141(x66991),x66994),x66993))) % 199.88/200.99 [6700]P1(f317(f150(x67001,x67002),x67003))+~P1(f317(f150(x67001,x67002),f317(f317(f124(x67001),x67004),x67003))) % 199.88/200.99 [6701]P1(f317(f150(x67011,x67012),x67013))+~P1(f317(f150(x67011,x67012),f317(f317(f124(x67011),x67013),x67014))) % 199.88/200.99 [6706]~P4(x67061)+E(f40(x67061,f317(f317(f23(x67061),x67062),f40(x67061,x67063,x67064)),x67064),f40(x67061,f317(f317(f23(x67061),x67062),x67063),x67064)) % 199.88/200.99 [6708]~P3(x67081)+E(f40(x67081,f317(f317(f75(x67081),x67082),f40(x67081,x67083,x67084)),x67084),f40(x67081,f317(f317(f75(x67081),x67082),x67083),x67084)) % 199.88/200.99 [6709]~P3(x67091)+E(f40(x67091,f317(f317(f74(x67091),x67092),f40(x67091,x67093,x67094)),x67094),f40(x67091,f317(f317(f74(x67091),x67092),x67093),x67094)) % 199.88/200.99 [6791]~P108(x67911)+E(f317(f317(f92(f905(x67911,a894)),f293(x67911,x67912,x67913)),f317(f291(x67911),x67914)),f293(x67911,x67912,f317(f317(f229(x67911),x67913),x67914))) % 199.88/200.99 [6792]~P108(x67921)+E(f317(f317(f92(f905(x67921,a894)),f293(x67921,x67922,x67923)),f317(f273(x67921),x67924)),f293(x67921,f317(f317(f224(x67921),x67922),x67924),x67923)) % 199.88/200.99 [6795]~E(f317(f179(f899(x67951)),x67953),f317(f179(f899(x67952)),x67954))+E(f317(f317(f171(x67951,x67952),f317(f158(x67951),x67953)),f317(f158(x67952),x67954)),f317(f158(f904(x67951,x67952)),f317(f317(f171(x67951,x67952),x67953),x67954))) % 199.88/200.99 [6807]E(x68071,f317(f317(f23(a898),f317(f179(f899(x68072)),x68073)),f72(a898)))+E(f104(x68072,f317(f317(f149(x68072,x68073),x68071),x68074)),f317(f317(f149(x68072,f104(x68072,x68073)),x68071),x68074)) % 199.88/200.99 [6822]~P1(f317(f127(x68222),x68224))+P1(f317(f127(f904(x68221,x68222)),f317(f317(f171(x68221,x68222),x68223),x68224))) % 199.88/200.99 [6823]~P1(f317(f127(x68231),x68233))+P1(f317(f127(f904(x68231,x68232)),f317(f317(f171(x68231,x68232),x68233),x68234))) % 199.88/200.99 [7095]E(f317(f317(f30(a898),x70951),x70952),x70953)+~P1(f317(f43(x70951,x70952),f317(f317(f242(a898,a898),x70953),x70954))) % 199.88/200.99 [7119]E(f40(a898,x71191,x71192),x71193)+~P1(f317(f43(x71191,x71192),f317(f317(f242(a898,a898),x71194),x71193))) % 199.88/200.99 [7122]P1(f317(f127(x71221),x71222))+~P1(f317(f127(x71223),f317(f317(f144(x71221,x71223),x71224),x71222))) % 199.88/200.99 [7205]E(f160(x72051,x72052,f317(f317(f124(x72051),x72053),x72054)),f317(f317(f124(x72051),f160(x72051,x72052,x72053)),x72054))+~P1(f317(f317(f319(x72051),x72052),f317(f162(x72051),x72053))) % 199.88/200.99 [7298]~P4(x72981)+E(f40(x72981,f317(f317(f23(x72981),f40(x72981,x72982,x72983)),x72984),x72983),f40(x72981,f317(f317(f23(x72981),x72982),x72984),x72983)) % 199.88/200.99 [7301]~P3(x73011)+E(f40(x73011,f317(f317(f74(x73011),f40(x73011,x73012,x73013)),x73014),x73013),f40(x73011,f317(f317(f74(x73011),x73012),x73014),x73013)) % 199.88/200.99 [7302]~P3(x73021)+E(f40(x73021,f317(f317(f75(x73021),f40(x73021,x73022,x73023)),x73024),x73023),f40(x73021,f317(f317(f75(x73021),x73022),x73024),x73023)) % 199.88/200.99 [7496]~E(x74961,f317(f317(f141(x74962),x74963),x74964))+~P1(f317(f317(f225(a898),f317(f179(f899(x74962)),x74961)),f317(f179(f899(x74962)),x74964))) % 199.88/200.99 [7700]P24(x77001,x77002,x77003,f317(f162(x77001),x77004))+~P1(f317(f127(x77002),f317(f317(f144(x77001,x77002),x77003),x77004))) % 199.88/200.99 [7775]~P1(f317(f317(f225(f905(x77751,a894)),x77752),x77754))+P1(f317(f317(f225(f905(x77751,a894)),x77752),f317(f317(f299(x77751),x77753),x77754))) % 199.88/200.99 [7811]~P4(x78111)+E(f40(x78111,f317(f317(f23(x78111),f40(x78111,x78112,x78113)),f40(x78111,x78114,x78113)),x78113),f40(x78111,f317(f317(f23(x78111),x78112),x78114),x78113)) % 199.88/200.99 [7812]~P3(x78121)+E(f40(x78121,f317(f317(f74(x78121),f40(x78121,x78122,x78123)),f40(x78121,x78124,x78123)),x78123),f40(x78121,f317(f317(f74(x78121),x78122),x78124),x78123)) % 199.88/200.99 [7813]~P3(x78131)+E(f40(x78131,f317(f317(f75(x78131),f40(x78131,x78132,x78133)),f40(x78131,x78134,x78133)),x78133),f40(x78131,f317(f317(f75(x78131),x78132),x78134),x78133)) % 199.88/200.99 [7917]~E(f317(x79174,f355(x79174,x79173,x79171,x79172)),f178(f905(x79172,a894)))+E(f317(f317(f34(x79171,f905(x79172,a894)),x79173),x79174),f178(f905(x79172,a894))) % 199.88/200.99 [7918]~E(f317(x79184,f458(x79184,x79183,x79181,x79182)),f232(f905(x79182,a894)))+E(f317(f317(f35(x79181,f905(x79182,a894)),x79183),x79184),f232(f905(x79182,a894))) % 199.88/200.99 [7919]~E(f317(x79194,f356(x79194,x79193,x79192,x79191)),f178(f905(x79192,a894)))+E(f317(f317(f34(x79191,f905(x79192,a894)),x79193),x79194),f178(f905(x79192,a894))) % 199.88/200.99 [7920]~E(f317(x79204,f459(x79204,x79203,x79202,x79201)),f232(f905(x79202,a894)))+E(f317(f317(f35(x79201,f905(x79202,a894)),x79203),x79204),f232(f905(x79202,a894))) % 199.88/200.99 [8310]P1(f317(x83101,x83102))+~P1(f317(f317(f319(x83103),x83102),f317(f317(f92(f905(x83103,a894)),x83104),f317(f252(x83103),x83101)))) % 199.88/200.99 [8347]~P1(f317(f317(f225(f905(x83471,a894)),x83473),x83474))+P1(f317(f317(f225(f905(x83471,a894)),f317(f317(f299(x83471),x83472),x83473)),f317(f317(f299(x83471),x83472),x83474))) % 199.88/200.99 [8527]P1(f317(x85272,x85273))+E(f317(f317(f128(x85271),f317(f179(f899(x85271)),f167(x85271,x85272,f317(f317(f141(x85271),x85273),x85274)))),f317(f317(f141(x85271),x85273),x85274)),f317(f317(f141(x85271),x85273),x85274)) % 199.88/200.99 [8633]~P1(f317(f317(f226(a898),f317(x86334,x86332)),f317(x86334,x86333)))+P1(f317(f317(f319(f904(x86331,x86331)),f317(f317(f242(x86331,x86331),x86332),x86333)),f317(f317(f278(a898,x86331),a230),x86334))) % 199.88/200.99 [8729]~P1(f317(x87292,f718(x87294,x87292,x87293,x87291)))+E(f167(x87291,x87292,f317(f317(f124(x87291),x87293),x87294)),f317(f317(f124(x87291),x87293),f167(x87291,x87292,x87294))) % 199.88/200.99 [8806]P24(f899(x88061),f899(x88062),f317(f144(x88061,x88062),x88063),x88064)+~P24(x88061,x88062,x88063,f31(f905(x88061,a894),f317(f300(f899(x88061),f905(x88061,a894),f162(x88061)),x88064))) % 199.88/200.99 [8881]~P1(f317(x88812,x88813))+E(f317(f317(f128(x88811),f317(f179(f899(x88811)),f167(x88811,x88812,f317(f317(f141(x88811),x88813),x88814)))),f317(f317(f141(x88811),x88813),x88814)),f317(f317(f128(x88811),f317(f179(f899(x88811)),f167(x88811,x88812,x88814))),x88814)) % 199.88/200.99 [8922]~E(x89222,x89223)+E(f317(f126(x89221,f317(f317(f8(a894,a894,x89221),a312),f317(a314,x89222))),f317(f317(f141(x89221),x89223),x89224)),f317(f126(x89221,f317(f317(f8(a894,a894,x89221),a312),f317(a314,x89222))),x89224)) % 199.88/200.99 [8932]E(f317(f317(f34(x89321,f905(x89322,a894)),x89323),x89324),f178(f905(x89322,a894)))+P1(f317(f317(f319(x89321),f355(x89324,x89323,x89321,x89322)),x89323)) % 199.88/200.99 [8933]E(f317(f317(f35(x89331,f905(x89332,a894)),x89333),x89334),f232(f905(x89332,a894)))+P1(f317(f317(f319(x89331),f458(x89334,x89333,x89331,x89332)),x89333)) % 199.88/200.99 [8934]E(f317(f317(f34(x89341,f905(x89342,a894)),x89343),x89344),f178(f905(x89342,a894)))+P1(f317(f317(f319(x89341),f356(x89344,x89343,x89342,x89341)),x89343)) % 199.88/200.99 [8935]E(f317(f317(f35(x89351,f905(x89352,a894)),x89353),x89354),f232(f905(x89352,a894)))+P1(f317(f317(f319(x89351),f459(x89354,x89353,x89352,x89351)),x89353)) % 199.88/200.99 [8973]P1(f317(f317(f226(a898),f317(x89731,x89732)),f317(x89731,x89733)))+~P1(f317(f317(f319(f904(x89734,x89734)),f317(f317(f242(x89734,x89734),x89732),x89733)),f317(f317(f278(a898,x89734),a230),x89731))) % 199.88/200.99 [8999]E(f167(x89991,x89992,f317(f317(f124(x89991),x89993),x89994)),f317(f317(f124(x89991),x89993),f167(x89991,x89992,x89994)))+P1(f317(f317(f319(x89991),f718(x89994,x89992,x89993,x89991)),f317(f162(x89991),x89993))) % 199.88/200.99 [9050]~P25(x90501,x90502,x90503,f232(f905(x90501,a894)),f232(f905(x90502,a894)))+E(f317(f300(x90501,x90502,x90503),f317(f73(f905(x90501,a894)),x90504)),f317(f73(f905(x90502,a894)),f317(f300(x90501,x90502,x90503),x90504))) % 199.88/200.99 [9154]P1(f317(f317(f319(x91541),f426(x91542,x91543,x91544,x91541)),x91543))+~P1(f317(f317(f319(f905(x91541,a894)),x91544),f317(f317(f55(x91541),x91543),x91542))) % 199.88/200.99 [9157]E(x91571,x91572)+~P1(f317(f317(f319(f904(x91573,x91573)),f317(f317(f242(x91573,x91573),x91571),x91572)),f317(f317(f173(f904(x91573,x91573),a894),f2(a898)),x91574))) % 199.88/200.99 [9239]E(f317(f275(x92391,x92391,x92392),f317(f317(f299(x92391),f426(x92392,x92393,x92394,x92391)),f178(f905(x92391,a894)))),x92394)+~P1(f317(f317(f319(f905(x92391,a894)),x92394),f317(f317(f55(x92391),x92393),x92392))) % 199.88/200.99 [9244]~P1(f317(f317(f319(f904(x92441,x92441)),f317(f317(f242(x92441,x92441),x92443),x92442)),f297(x92441,x92444)))+P1(f317(f317(f319(f904(x92441,x92441)),f317(f317(f242(x92441,x92441),x92442),x92443)),f297(x92441,f317(f276(x92441,x92441),x92444)))) % 199.88/200.99 [9257]~P3(x92571)+E(f317(f317(f74(x92571),f317(f317(f74(x92571),f317(f317(f75(x92571),x92572),f317(f317(f30(x92571),x92573),x92572))),f40(x92571,x92573,x92572))),x92574),f317(f317(f74(x92571),x92573),x92574)) % 199.88/200.99 [9268]~P1(f317(f317(f319(x92681),x92683),x92684))+P1(f317(f317(f319(f905(x92681,a894)),f317(f275(x92681,x92681,x92682),f317(f317(f299(x92681),x92683),f178(f905(x92681,a894))))),f317(f317(f55(x92681),x92684),x92682))) % 199.88/200.99 [9280]P1(f317(f317(f319(f904(x92801,x92801)),f317(f317(f242(x92801,x92801),x92802),x92803)),f297(x92801,x92804)))+~P1(f317(f317(f319(f904(x92801,x92801)),f317(f317(f242(x92801,x92801),x92803),x92802)),f297(x92801,f317(f276(x92801,x92801),x92804)))) % 199.88/200.99 [9369]E(f317(f317(f149(x93691,f317(f158(x93691),x93692)),f317(f317(f23(a898),f317(f317(f23(a898),f317(f179(f899(x93691)),x93692)),x93693)),f72(a898))),x93694),f317(f158(x93691),f317(f317(f149(x93691,x93692),x93693),x93694)))+~P1(f317(f317(f226(a898),x93693),f317(f179(f899(x93691)),x93692))) % 199.88/200.99 [9372]~P1(f317(x93722,f713(x93724,x93722,x93723,x93721)))+E(f317(f317(f128(x93721),f317(f179(f899(x93721)),f167(x93721,x93722,f317(f317(f124(x93721),x93723),x93724)))),f317(f317(f124(x93721),x93723),x93724)),f317(f317(f128(x93721),f317(f179(f899(x93721)),f167(x93721,x93722,x93724))),x93724)) % 199.88/200.99 [9418]~P24(x94182,x94181,x94183,f232(f905(x94182,a894)))+P1(f317(f317(f225(f905(x94181,a894)),f317(f300(x94182,x94181,x94183),f317(f73(f905(x94182,a894)),x94184))),f317(f73(f905(x94181,a894)),f317(f300(x94182,x94181,x94183),x94184)))) % 199.88/200.99 [9430]~P5(x94301)+E(f317(f132(x94301,x94302,f317(f7(x94302,x94301,x94301),f317(f317(f8(x94301,f905(x94301,x94301),x94302),f91(x94301)),x94303)),f178(x94301)),x94304),f317(f317(f34(x94302,x94301),f317(f162(x94302),x94304)),x94303)) % 199.88/200.99 [9431]~P5(x94311)+E(f317(f132(x94311,x94312,f317(f7(x94312,x94311,x94311),f317(f317(f8(x94311,f905(x94311,x94311),x94312),f92(x94311)),x94313)),f232(x94311)),x94314),f317(f317(f35(x94312,x94311),f317(f162(x94312),x94314)),x94313)) % 199.88/200.99 [9441]E(f317(f317(f128(x94411),f317(f179(f899(x94411)),f167(x94411,x94412,f317(f317(f124(x94411),x94413),x94414)))),f317(f317(f124(x94411),x94413),x94414)),f317(f317(f128(x94411),f317(f179(f899(x94411)),f167(x94411,x94412,x94414))),x94414))+P1(f317(f317(f319(x94411),f713(x94414,x94412,x94413,x94411)),f317(f162(x94411),x94413))) % 199.88/200.99 [9511]~P1(f317(f317(f319(f904(f899(x95114),f899(x95114))),f317(f317(f242(f899(x95114),f899(x95114)),x95113),x95112)),f147(x95114,x95111)))+P1(f317(f317(f226(a898),f646(x95111,x95112,x95113,x95114)),f317(f179(f899(x95114)),x95113))) % 199.88/200.99 [9512]~P3(x95121)+E(f317(f317(f74(x95121),f317(f317(f74(x95121),f317(f317(f75(x95121),f317(f317(f30(x95121),x95122),x95123)),x95123)),f40(x95121,x95122,x95123))),x95124),f317(f317(f74(x95121),x95122),x95124)) % 199.88/200.99 [9541]~P1(f317(f317(f319(f904(f899(x95411),f899(x95411))),f317(f317(f242(f899(x95411),f899(x95411)),x95412),x95413)),f317(f276(f899(x95411),f899(x95411)),f147(x95411,x95414))))+P1(f317(f317(f319(f904(f899(x95411),f899(x95411))),f317(f317(f242(f899(x95411),f899(x95411)),x95412),x95413)),f147(x95411,f317(f276(x95411,x95411),x95414)))) % 199.88/200.99 [9542]P1(f317(f317(f319(f904(f899(x95421),f899(x95421))),f317(f317(f242(f899(x95421),f899(x95421)),x95422),x95423)),f317(f276(f899(x95421),f899(x95421)),f147(x95421,x95424))))+~P1(f317(f317(f319(f904(f899(x95421),f899(x95421))),f317(f317(f242(f899(x95421),f899(x95421)),x95422),x95423)),f147(x95421,f317(f276(x95421,x95421),x95424)))) % 199.88/200.99 [9586]~P1(f317(f317(f319(x95861),x95863),f317(f254(x95861,x95862),x95864)))+P1(f317(f317(f319(f904(x95861,x95862)),f317(f317(f242(x95861,x95862),x95863),f536(x95864,x95862,x95863,x95861))),x95864)) % 199.88/200.99 [9587]~P1(f317(f317(f319(x95871),x95873),f317(f254(x95871,x95872),x95874)))+P1(f317(f317(f319(f904(x95871,x95872)),f317(f317(f242(x95871,x95872),x95873),f537(x95874,x95872,x95873,x95871))),x95874)) % 199.88/200.99 [9747]~P1(f317(f317(f319(f904(x97471,x97471)),f317(f317(f242(x97471,x97471),x97472),x97474)),f317(f317(f279(x97471,x97471,x97471),x97473),f297(x97471,x97473))))+P1(f317(f317(f319(f904(x97471,x97471)),f317(f317(f242(x97471,x97471),x97472),f605(x97473,x97474,x97472,x97471))),x97473)) % 199.88/200.99 [9905]P11(x99051,x99052,x99053,x99054)+P1(f317(f317(f319(f904(x99051,x99051)),f317(f317(f242(x99051,x99051),f822(x99052,x99054,x99053,x99051)),f821(x99052,x99054,x99053,x99051))),x99053)) % 199.88/200.99 [9912]~P1(f317(f317(f319(f904(x99122,x99121)),x99124),f317(f276(x99121,x99122),x99123)))+P1(f317(f317(f319(f904(x99121,x99122)),f317(f317(f242(x99121,x99122),f617(x99123,x99124,x99121,x99122)),f622(x99123,x99124,x99121,x99122))),x99123)) % 199.88/200.99 [9936]~P1(f317(f317(f319(f904(f899(x99361),f899(x99361))),f317(f317(f242(f899(x99361),f899(x99361)),x99364),x99363)),f147(x99361,x99362)))+P1(f317(f317(f319(f904(x99361,x99361)),f317(f317(f242(x99361,x99361),f663(x99362,x99363,x99364,x99361)),f664(x99362,x99363,x99364,x99361))),x99362)) % 199.88/200.99 [10026]~P1(f317(f317(f319(f904(f899(x100261),f899(x100261))),f317(f317(f242(f899(x100261),f899(x100261)),x100262),x100264)),f147(x100261,x100263)))+P1(f317(f317(f319(f904(x100261,x100261)),f317(f317(f242(x100261,x100261),f317(f317(f154(x100261),x100262),f646(x100263,x100264,x100262,x100261))),f647(x100263,x100264,x100262,x100261))),x100263)) % 199.88/200.99 [10046]~P1(f317(f28(x100462),x100464))+E(f317(f317(f317(f59(f905(x100461,a894),x100462,f91(f905(x100461,a894))),f317(f317(f7(x100462,f905(x100461,a894),f905(x100461,a894)),f317(f317(f8(x100461,f905(f905(x100461,a894),f905(x100461,a894)),x100462),f299(x100461)),x100463)),f178(f905(x100461,a894)))),f178(f905(x100461,a894))),x100464),f317(f300(x100462,x100461,x100463),x100464)) % 199.88/200.99 [10157]~P24(x101571,x101572,x101573,f232(f905(x101571,a894)))+P1(f317(f317(f225(f905(x101571,a894)),f317(f301(x101571,x101572,x101573),f317(f317(f299(x101572),x101574),f178(f905(x101572,a894))))),f317(f317(f299(x101571),f79(x101571,f317(f317(f7(x101571,x101572,a894),f317(f317(f8(x101572,f905(x101572,a894),x101571),a314),x101573)),x101574))),f178(f905(x101571,a894))))) % 199.88/200.99 [5694]~E(f317(f317(f124(x56941),x56942),x56944),x56943)+E(f317(f317(f165(x56941),f317(f179(f899(x56941)),x56942)),x56943),x56942) % 199.88/200.99 [5695]~E(f317(f317(f124(x56952),x56953),x56951),x56954)+E(x56951,f317(f317(f128(x56952),f317(f179(f899(x56952)),x56953)),x56954)) % 199.88/200.99 [5706]~E(x57064,f2(a898))+E(f317(f317(f154(x57061),f317(f317(f141(x57061),x57062),x57063)),x57064),x57062) % 199.88/200.99 [6262]~P112(x62621)+E(f317(f317(f234(x62621),f317(f317(f234(x62621),x62622),x62623)),x62624),f317(f317(f234(x62621),x62622),f317(f317(f75(a898),x62623),x62624))) % 199.88/200.99 [6263]~P82(x62631)+E(f317(f317(f234(x62631),f317(f317(f234(x62631),x62632),x62633)),x62634),f317(f317(f234(x62631),x62632),f317(f317(f75(a898),x62633),x62634))) % 199.88/200.99 [6271]E(x62711,f2(a898))+E(f317(f317(f154(x62712),f317(f317(f141(x62712),x62713),x62714)),x62711),f317(f317(f154(x62712),x62714),f317(f317(f23(a898),x62711),f72(a898)))) % 199.88/200.99 [6300]~P122(x63001)+E(f317(f317(f281(x63001),f317(f317(f75(x63001),x63002),x63003)),x63004),f317(f317(f75(x63001),x63002),f317(f317(f281(x63001),x63003),x63004))) % 199.88/200.99 [6301]~P71(x63011)+E(f317(f317(f74(x63011),f317(f317(f74(x63011),x63012),x63013)),x63014),f317(f317(f74(x63011),x63012),f317(f317(f74(x63011),x63013),x63014))) % 199.88/200.99 [6302]~P112(x63021)+E(f317(f317(f74(x63021),f317(f317(f74(x63021),x63022),x63023)),x63024),f317(f317(f74(x63021),x63022),f317(f317(f74(x63021),x63023),x63024))) % 199.88/200.99 [6303]~P112(x63031)+E(f317(f317(f75(x63031),f317(f317(f75(x63031),x63032),x63033)),x63034),f317(f317(f75(x63031),x63032),f317(f317(f75(x63031),x63033),x63034))) % 199.88/200.99 [6304]~P74(x63041)+E(f317(f317(f75(x63041),f317(f317(f75(x63041),x63042),x63043)),x63044),f317(f317(f75(x63041),x63042),f317(f317(f75(x63041),x63043),x63044))) % 199.88/200.99 [6307]~P108(x63071)+E(f317(f317(f229(x63071),f317(f317(f229(x63071),x63072),x63073)),x63074),f317(f317(f229(x63071),x63072),f317(f317(f229(x63071),x63073),x63074))) % 199.88/200.99 [6309]~P108(x63091)+E(f317(f317(f224(x63091),f317(f317(f224(x63091),x63092),x63093)),x63094),f317(f317(f224(x63091),x63092),f317(f317(f224(x63091),x63093),x63094))) % 199.88/200.99 [6310]~P98(x63101)+E(f317(f317(f91(x63101),f317(f317(f91(x63101),x63102),x63103)),x63104),f317(f317(f91(x63101),x63102),f317(f317(f91(x63101),x63103),x63104))) % 199.88/200.99 [6312]~P103(x63121)+E(f317(f317(f91(x63121),f317(f317(f91(x63121),x63122),x63123)),x63124),f317(f317(f91(x63121),x63122),f317(f317(f91(x63121),x63123),x63124))) % 199.88/200.99 [6313]~P98(x63131)+E(f317(f317(f92(x63131),f317(f317(f92(x63131),x63132),x63133)),x63134),f317(f317(f92(x63131),x63132),f317(f317(f92(x63131),x63133),x63134))) % 199.88/200.99 [6315]~P104(x63151)+E(f317(f317(f92(x63151),f317(f317(f92(x63151),x63152),x63153)),x63154),f317(f317(f92(x63151),x63152),f317(f317(f92(x63151),x63153),x63154))) % 199.88/200.99 [6324]~P3(x63241)+E(f40(x63241,f317(f317(f74(x63241),x63242),f317(f317(f75(x63241),x63243),x63244)),x63244),f40(x63241,x63242,x63244)) % 199.88/200.99 [6325]~P3(x63251)+E(f40(x63251,f317(f317(f74(x63251),x63252),f317(f317(f75(x63251),x63253),x63254)),x63253),f40(x63251,x63252,x63253)) % 199.88/200.99 [6467]E(f317(f317(f154(x64671),f317(f317(f165(x64671),x64672),x64673)),x64674),f317(f317(f154(x64671),x64673),x64674))+~P1(f317(f317(f226(a898),x64674),x64672)) % 199.88/200.99 [6648]~E(x66482,x66484)+P1(f317(f317(f162(x66481),f317(f317(f141(x66481),x66482),x66483)),x66484)) % 199.88/200.99 [6650]~P112(x66501)+E(f317(f317(f74(x66501),f317(f317(f74(x66501),x66502),x66503)),x66504),f317(f317(f74(x66501),f317(f317(f74(x66501),x66502),x66504)),x66503)) % 199.88/200.99 [6651]~P112(x66511)+E(f317(f317(f75(x66511),f317(f317(f75(x66511),x66512),x66513)),x66514),f317(f317(f75(x66511),f317(f317(f75(x66511),x66512),x66514)),x66513)) % 199.88/200.99 [6712]~P144(x67122)+E(f317(f317(f6(x67121,x67122),f317(f16(x67122,x67121),x67123)),x67124),f317(f317(f75(x67122),f317(f90(x67122),f317(f29(x67121),x67124))),x67123)) % 199.88/200.99 [6888]E(f317(f317(f92(f905(x68881,a894)),f317(f317(f299(x68881),x68882),x68883)),x68884),f317(f317(f92(f905(x68881,a894)),x68883),x68884))+P1(f317(f317(f319(x68881),x68882),x68884)) % 199.88/200.99 [6957]~P67(x69571)+E(f317(f317(f229(x69571),f317(f317(f23(x69571),x69572),x69573)),f317(f317(f23(x69571),x69574),x69573)),f317(f317(f23(x69571),f317(f317(f229(x69571),x69572),x69574)),x69573)) % 199.88/200.99 [6958]~P67(x69581)+E(f317(f317(f224(x69581),f317(f317(f23(x69581),x69582),x69583)),f317(f317(f23(x69581),x69584),x69583)),f317(f317(f23(x69581),f317(f317(f224(x69581),x69582),x69584)),x69583)) % 199.88/200.99 [6959]~P83(x69591)+E(f317(f317(f229(x69591),f317(f317(f74(x69591),x69592),x69593)),f317(f317(f74(x69591),x69594),x69593)),f317(f317(f74(x69591),f317(f317(f229(x69591),x69592),x69594)),x69593)) % 199.88/200.99 [6960]~P83(x69601)+E(f317(f317(f224(x69601),f317(f317(f74(x69601),x69602),x69603)),f317(f317(f74(x69601),x69604),x69603)),f317(f317(f74(x69601),f317(f317(f224(x69601),x69602),x69604)),x69603)) % 199.88/200.99 [6962]~P113(x69621)+E(f317(f317(f74(x69621),f317(f317(f75(x69621),x69622),x69623)),f317(f317(f75(x69621),x69624),x69623)),f317(f317(f75(x69621),f317(f317(f74(x69621),x69622),x69624)),x69623)) % 199.88/200.99 [6963]~P112(x69631)+E(f317(f317(f75(x69631),f317(f317(f234(x69631),x69632),x69633)),f317(f317(f234(x69631),x69634),x69633)),f317(f317(f234(x69631),f317(f317(f75(x69631),x69632),x69634)),x69633)) % 199.88/200.99 [6964]~P78(x69641)+E(f317(f317(f75(x69641),f317(f317(f234(x69641),x69642),x69643)),f317(f317(f234(x69641),x69644),x69643)),f317(f317(f234(x69641),f317(f317(f75(x69641),x69642),x69644)),x69643)) % 199.88/200.99 [6965]~P61(x69651)+E(f317(f317(f281(x69651),f317(f317(f234(x69651),x69652),x69653)),f317(f317(f234(x69651),x69654),x69653)),f317(f317(f234(x69651),f317(f317(f281(x69651),x69652),x69654)),x69653)) % 199.88/200.99 [6966]~P108(x69661)+E(f317(f317(f224(x69661),f317(f317(f229(x69661),x69662),x69663)),f317(f317(f229(x69661),x69664),x69663)),f317(f317(f229(x69661),f317(f317(f224(x69661),x69662),x69664)),x69663)) % 199.88/200.99 [6967]~P122(x69671)+E(f317(f317(f23(x69671),f317(f317(f281(x69671),x69672),x69673)),f317(f317(f281(x69671),x69674),x69673)),f317(f317(f281(x69671),f317(f317(f23(x69671),x69672),x69674)),x69673)) % 199.88/200.99 [6968]~P122(x69681)+E(f317(f317(f74(x69681),f317(f317(f281(x69681),x69682),x69683)),f317(f317(f281(x69681),x69684),x69683)),f317(f317(f281(x69681),f317(f317(f74(x69681),x69682),x69684)),x69683)) % 199.88/200.99 [6969]~P108(x69691)+E(f317(f317(f229(x69691),f317(f317(f224(x69691),x69692),x69693)),f317(f317(f224(x69691),x69694),x69693)),f317(f317(f224(x69691),f317(f317(f229(x69691),x69692),x69694)),x69693)) % 199.88/200.99 [6970]~P101(x69701)+E(f317(f317(f92(x69701),f317(f317(f91(x69701),x69702),x69703)),f317(f317(f91(x69701),x69704),x69703)),f317(f317(f91(x69701),f317(f317(f92(x69701),x69702),x69704)),x69703)) % 199.88/200.99 [6971]~P101(x69711)+E(f317(f317(f91(x69711),f317(f317(f92(x69711),x69712),x69713)),f317(f317(f92(x69711),x69714),x69713)),f317(f317(f92(x69711),f317(f317(f91(x69711),x69712),x69714)),x69713)) % 199.88/200.99 [6972]~P112(x69721)+E(f317(f317(f74(x69721),f317(f317(f75(x69721),x69722),x69723)),f317(f317(f75(x69721),x69724),x69723)),f317(f317(f75(x69721),f317(f317(f74(x69721),x69722),x69724)),x69723)) % 199.88/200.99 [7006]E(f317(f317(f149(x70061,x70062),x70063),x70064),x70062)+~P1(f317(f317(f225(a898),f317(f179(f899(x70061)),x70062)),x70063)) % 199.88/200.99 [7034]~P1(f317(x70343,x70344))+P1(f317(f317(f317(f91(f905(x70341,a894)),x70342),x70343),x70344)) % 199.88/200.99 [7036]~P1(f317(x70362,x70364))+P1(f317(f317(f317(f91(f905(x70361,a894)),x70362),x70363),x70364)) % 199.88/200.99 [7056]E(f317(f317(f154(x70561),f317(f317(f124(x70561),x70562),x70563)),x70564),f317(f317(f154(x70561),x70562),x70564))+~P1(f317(f317(f226(a898),x70564),f317(f179(f899(x70561)),x70562))) % 199.88/200.99 [7067]E(f317(f317(f23(f905(x70671,a894)),f317(f317(f299(x70671),x70672),x70673)),x70674),f317(f317(f23(f905(x70671,a894)),x70673),x70674))+~P1(f317(f317(f319(x70671),x70672),x70674)) % 199.88/200.99 [7108]~E(f129(a898,f317(f292(a898,x71081),x71082)),f317(f317(f141(a898),x71084),x71083))+E(f129(a898,f317(f292(a898,f317(f317(f74(a898),x71081),f72(a898))),x71082)),x71083) % 199.88/200.99 [7130]~P1(f317(f317(f162(x71301),x71303),x71304))+P1(f317(f317(f162(x71301),f317(f317(f141(x71301),x71302),x71303)),x71304)) % 199.88/200.99 [7180]E(x71801,f2(a898))+E(f317(f317(f141(x71802),x71803),f317(f317(f165(x71802),f317(f317(f23(a898),x71801),f72(a898))),x71804)),f317(f317(f165(x71802),x71801),f317(f317(f141(x71802),x71803),x71804))) % 199.88/200.99 [7282]E(f317(f317(f154(x72821),x72822),f317(f317(f23(a898),x72823),f317(f179(f899(x72821)),x72824))),f317(f317(f154(x72821),f317(f317(f124(x72821),x72824),x72822)),x72823))+P1(f317(f317(f226(a898),x72823),f317(f179(f899(x72821)),x72824))) % 199.88/200.99 [7310]E(f317(f317(f92(f905(x73101,a894)),x73102),f317(f317(f299(x73101),x73103),x73104)),f317(f317(f299(x73101),x73103),f317(f317(f92(f905(x73101,a894)),x73102),x73104)))+~P1(f317(f317(f319(x73101),x73103),x73102)) % 199.88/200.99 [7348]E(f317(f317(f154(x73481),f317(f317(f149(x73481,x73482),x73483),x73484)),x73483),x73484)+~P1(f317(f317(f226(a898),x73483),f317(f179(f899(x73481)),x73482))) % 199.88/200.99 [7370]E(x73701,f178(f905(x73702,a894)))+E(f317(f300(f904(x73703,x73702),x73703,f241(x73703,x73702)),f317(f317(f244(x73703,x73702),x73704),f317(f16(f905(x73702,a894),x73703),x73701))),x73704) % 199.88/200.99 [7371]E(x73711,f178(f905(x73712,a894)))+E(f317(f300(f904(x73712,x73713),x73713,f246(x73712,x73713)),f317(f317(f244(x73712,x73713),x73711),f317(f16(f905(x73713,a894),x73712),x73714))),x73714) % 199.88/200.99 [7446]E(f317(f317(f23(f905(x74461,a894)),f317(f317(f299(x74461),x74462),x74463)),x74464),f317(f317(f299(x74461),x74462),f317(f317(f23(f905(x74461,a894)),x74463),x74464)))+P1(f317(f317(f319(x74461),x74462),x74464)) % 199.88/200.99 [7482]~E(x74824,f178(f905(x74822,a894)))+E(f317(f300(f904(x74821,x74822),x74821,f241(x74821,x74822)),f317(f317(f244(x74821,x74822),x74823),f317(f16(f905(x74822,a894),x74821),x74824))),f178(f905(x74821,a894))) % 199.88/200.99 [7483]~E(x74833,f178(f905(x74831,a894)))+E(f317(f300(f904(x74831,x74832),x74832,f246(x74831,x74832)),f317(f317(f244(x74831,x74832),x74833),f317(f16(f905(x74832,a894),x74831),x74834))),f178(f905(x74832,a894))) % 199.88/200.99 [7535]~P1(f317(f317(f319(x75351),x75352),x75354))+P1(f317(f317(f319(x75351),x75352),f317(f317(f91(f905(x75351,a894)),x75353),x75354))) % 199.88/200.99 [7538]~P1(f317(f317(f319(x75381),x75382),x75383))+P1(f317(f317(f319(x75381),x75382),f317(f317(f91(f905(x75381,a894)),x75383),x75384))) % 199.88/200.99 [7556]E(f317(f317(f92(f905(x75561,a894)),f317(f317(f299(x75561),x75562),x75563)),x75564),f317(f317(f299(x75561),x75562),f317(f317(f92(f905(x75561,a894)),x75563),x75564)))+~P1(f317(f317(f319(x75561),x75562),x75564)) % 199.88/200.99 [7833]P1(f317(x78331,x78332))+~P1(f317(f317(f317(f92(f905(x78333,a894)),x78334),x78331),x78332)) % 199.88/200.99 [7834]P1(f317(x78341,x78342))+~P1(f317(f317(f317(f92(f905(x78343,a894)),x78341),x78344),x78342)) % 199.88/200.99 [7835]E(f317(f317(f6(x78351,a898),x78352),f317(f317(f23(f905(x78351,a894)),x78353),f317(f317(f299(x78351),x78354),f178(f905(x78351,a894))))),f317(f317(f6(x78351,a898),x78352),x78353))+P1(f317(f317(f319(x78351),x78354),x78353)) % 199.88/200.99 [7840]~P77(x78401)+E(f317(f155(x78401),f317(f317(f144(a898,x78401),x78402),f129(a898,f317(f292(a898,x78403),x78404)))),f317(f317(f6(a898,x78401),x78402),f317(f162(a898),f129(a898,f317(f292(a898,x78403),x78404))))) % 199.88/200.99 [7841]~P77(x78411)+E(f317(f317(f6(a898,x78411),x78412),f317(f162(a898),f129(a898,f317(f292(a898,x78413),x78414)))),f317(f155(x78411),f317(f317(f144(a898,x78411),x78412),f129(a898,f317(f292(a898,x78413),x78414))))) % 199.88/200.99 [7955]~E(x79553,x79554)+P1(f317(f56(x79551,x79552,f317(f317(f299(x79551),x79553),f178(f905(x79551,a894)))),x79554)) % 199.88/200.99 [8052]P1(f317(f317(f319(x80521),x80522),f317(f162(x80521),x80523)))+~P1(f317(f317(f319(x80521),x80522),f317(f162(x80521),f317(f317(f165(x80521),x80524),x80523)))) % 199.88/200.99 [8053]P1(f317(f317(f319(x80531),x80532),f317(f162(x80531),x80533)))+~P1(f317(f317(f319(x80531),x80532),f317(f162(x80531),f317(f317(f128(x80531),x80534),x80533)))) % 199.88/200.99 [8123]P1(f317(f317(f319(x81231),x81232),x81233))+~P1(f317(f317(f319(x81231),x81232),f317(f317(f23(f905(x81231,a894)),x81233),x81234))) % 199.88/200.99 [8125]P1(f317(f317(f319(x81251),x81252),x81253))+~P1(f317(f317(f319(x81251),x81252),f317(f317(f92(f905(x81251,a894)),x81254),x81253))) % 199.88/200.99 [8128]P1(f317(f317(f319(x81281),x81282),x81283))+~P1(f317(f317(f319(x81281),x81282),f317(f317(f92(f905(x81281,a894)),x81283),x81284))) % 199.88/200.99 [8143]E(f317(f317(f124(x81431),f317(f317(f165(x81431),x81432),x81433)),f317(f317(f141(x81431),x81434),f317(f317(f128(x81431),f317(a102,x81432)),x81433))),f317(f317(f149(x81431,x81433),x81432),x81434))+~P1(f317(f317(f226(a898),x81432),f317(f179(f899(x81431)),x81433))) % 199.88/200.99 [8166]P1(f317(f317(f319(x81661),x81662),x81663))+~P1(f317(f317(f225(f905(x81661,a894)),f317(f317(f299(x81661),x81662),x81664)),x81663)) % 199.88/200.99 [8203]~P1(f317(f317(f319(x82031),x82032),x82033))+~P1(f317(f317(f319(x82031),x82032),f317(f317(f23(f905(x82031,a894)),x82034),x82033))) % 199.88/200.99 [8236]~P1(f317(f317(f226(a898),x82364),f317(f179(f899(x82361)),x82363)))+P1(f317(f317(f319(x82361),x82362),f317(f162(x82361),f317(f317(f149(x82361,x82363),x82364),x82362)))) % 199.88/200.99 [8289]E(f317(f317(f154(x82891),f317(f317(f128(x82891),x82892),x82893)),x82894),f317(f317(f154(x82891),x82893),f317(f317(f74(a898),x82892),x82894)))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),x82892),x82894)),f317(f179(f899(x82891)),x82893))) % 199.88/200.99 [8298]~P144(x82982)+E(f317(f317(f6(x82981,x82982),f317(f317(f8(a898,x82982,x82981),f90(x82982)),x82983)),x82984),f317(f90(x82982),f317(f317(f6(x82981,a898),x82983),x82984))) % 199.88/200.99 [8299]~P128(x82992)+E(f317(f317(f6(x82991,x82992),f317(f317(f8(a1,x82992,x82991),f93(x82992)),x82993)),x82994),f317(f93(x82992),f317(f317(f6(x82991,a1),x82993),x82994))) % 199.88/200.99 [8349]~P64(x83492)+E(f317(f317(f9(x83491,x83492),f317(f317(f8(x83492,x83492,x83491),f70(x83492)),x83493)),x83494),f317(f70(x83492),f317(f317(f9(x83491,x83492),x83493),x83494))) % 199.88/200.99 [8350]~P68(x83502)+E(f317(f317(f6(x83501,x83502),f317(f317(f8(x83502,x83502,x83501),f73(x83502)),x83503)),x83504),f317(f73(x83502),f317(f317(f6(x83501,x83502),x83503),x83504))) % 199.88/200.99 [8353]E(f317(f317(f6(x83531,a898),x83532),f317(f317(f23(f905(x83531,a894)),x83533),f317(f317(f299(x83531),x83534),f178(f905(x83531,a894))))),f317(f317(f23(a898),f317(f317(f6(x83531,a898),x83532),x83533)),f317(x83532,x83534)))+~P1(f317(f317(f319(x83531),x83534),x83533)) % 199.88/200.99 [8372]P1(f317(f317(f225(f905(x83721,a894)),x83722),x83723))+~P1(f317(f317(f225(f905(x83721,a894)),f317(f317(f299(x83721),x83724),x83722)),x83723)) % 199.88/200.99 [8496]~E(f317(f300(x84962,x84963,x84961),f232(f905(x84962,a894))),f232(f905(x84963,a894)))+E(f317(x84961,f317(f85(x84962,x84963,f232(f905(x84962,a894)),x84961),x84964)),x84964) % 199.88/200.99 [8579]P36(x85791,x85792)+~P36(x85791,f317(f317(f299(f904(x85791,x85791)),f317(f317(f242(x85791,x85791),x85793),x85794)),x85792)) % 199.88/200.99 [8580]P57(x85801,x85802)+~P57(x85801,f317(f317(f299(f904(x85801,x85801)),f317(f317(f242(x85801,x85801),x85803),x85804)),x85802)) % 199.88/200.99 [8585]~P108(x85851)+E(f317(f317(f138(x85851,x85851,f5(x85851)),x85852),f317(f317(f138(x85851,x85851,f5(x85851)),x85853),x85854)),f317(f317(f138(x85851,x85851,f5(x85851)),x85853),f317(f317(f138(x85851,x85851,f5(x85851)),x85852),x85854))) % 199.88/200.99 [8600]E(x86001,x86002)+~P1(f317(f56(x86003,x86004,f317(f317(f299(x86003),x86001),f178(f905(x86003,a894)))),x86002)) % 199.88/200.99 [8609]E(f317(f317(f124(x86091),f317(f317(f165(x86091),x86092),x86093)),f317(f317(f165(x86091),x86094),f317(f317(f128(x86091),x86092),x86093))),f317(f317(f165(x86091),f317(f317(f74(a898),x86092),x86094)),x86093))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),x86092),x86094)),f317(f179(f899(x86091)),x86093))) % 199.88/200.99 [8649]P1(f317(f28(x86491),x86492))+~E(x86492,f317(f300(a898,x86491,x86493),f317(f252(a898),f317(f317(f7(a898,a898,a894),f226(a898)),x86494)))) % 199.88/200.99 [8669]~P90(x86691)+E(f317(f132(x86691,x86691,f74(x86691),f317(f317(f74(x86691),x86692),x86693)),x86694),f317(f317(f74(x86691),x86692),f317(f132(x86691,x86691,f74(x86691),x86693),x86694))) % 199.88/200.99 [8705]P1(f317(f317(f225(f905(x87051,a894)),f317(f254(x87051,x87052),x87053)),f317(f254(x87051,x87052),x87054)))+~P1(f317(f317(f225(f905(f904(x87051,x87052),a894)),x87053),x87054)) % 199.88/200.99 [8717]~P1(f317(f317(f225(a898),x87172),x87174))+P1(f317(f317(f225(f905(x87171,a894)),f317(f162(x87171),f317(f317(f165(x87171),x87172),x87173))),f317(f162(x87171),f317(f317(f165(x87171),x87174),x87173)))) % 199.88/200.99 [8718]~P1(f317(f317(f225(a898),x87184),x87182))+P1(f317(f317(f225(f905(x87181,a894)),f317(f162(x87181),f317(f317(f128(x87181),x87182),x87183))),f317(f162(x87181),f317(f317(f128(x87181),x87184),x87183)))) % 199.88/200.99 [8775]~P1(f317(f28(x87751),f317(f317(f23(f905(x87751,a894)),x87752),x87754)))+P1(f317(f28(x87751),f317(f317(f23(f905(x87751,a894)),x87752),f317(f317(f299(x87751),x87753),x87754)))) % 199.88/200.99 [8817]P1(f317(f317(f319(f904(x88171,x88171)),x88172),f297(x88171,x88173)))+~P1(f317(f317(f319(f904(x88171,x88171)),x88172),f317(f317(f173(f904(x88171,x88171),a894),x88174),x88173))) % 199.88/200.99 [8903]~P1(f317(f28(x89031),f317(f317(f23(f905(x89031,a894)),x89032),f317(f317(f299(x89031),x89034),x89033))))+P1(f317(f28(x89031),f317(f317(f23(f905(x89031,a894)),x89032),x89033))) % 199.88/200.99 [9114]~P108(x91141)+P1(f317(f317(f225(x91141),f317(f317(f224(x91141),x91142),f317(f317(f229(x91141),x91143),x91144))),f317(f317(f229(x91141),f317(f317(f224(x91141),x91142),x91143)),f317(f317(f224(x91141),x91142),x91144)))) % 199.88/200.99 [9115]~P98(x91151)+P1(f317(f317(f225(x91151),f317(f317(f91(x91151),x91152),f317(f317(f92(x91151),x91153),x91154))),f317(f317(f92(x91151),f317(f317(f91(x91151),x91152),x91153)),f317(f317(f91(x91151),x91152),x91154)))) % 199.88/200.99 [9264]E(x92641,x92642)+~P1(f317(f317(f319(f904(x92643,x92643)),f317(f317(f242(x92643,x92643),x92641),x92642)),f317(f162(f904(x92643,x92643)),f317(f317(f171(x92643,x92643),x92644),x92644)))) % 199.88/200.99 [9295]~P1(f317(f317(f319(f904(x92951,x92951)),f317(f317(f242(x92951,x92951),x92953),x92952)),f297(x92951,x92954)))+~P36(x92951,f317(f317(f299(f904(x92951,x92951)),f317(f317(f242(x92951,x92951),x92952),x92953)),x92954)) % 199.88/200.99 [9296]~P1(f317(f317(f319(f904(x92961,x92961)),f317(f317(f242(x92961,x92961),x92963),x92962)),f297(x92961,x92964)))+~P57(x92961,f317(f317(f299(f904(x92961,x92961)),f317(f317(f242(x92961,x92961),x92962),x92963)),x92964)) % 199.88/200.99 [9300]E(x93001,x93002)+E(f317(f126(x93003,f317(f317(f8(a894,a894,x93003),a312),f317(a314,x93001))),f317(f317(f141(x93003),x93002),x93004)),f317(f317(f141(x93003),x93002),f317(f126(x93003,f317(f317(f8(a894,a894,x93003),a312),f317(a314,x93001))),x93004))) % 199.88/200.99 [9331]~P25(x93312,x93311,x93313,f232(f905(x93312,a894)),f232(f905(x93311,a894)))+E(f317(f300(x93311,x93312,f85(x93312,x93311,f232(f905(x93312,a894)),x93313)),x93314),f317(f301(x93312,x93311,x93313),x93314)) % 199.88/200.99 [9347]~P108(x93471)+P1(f317(f317(f225(x93471),f317(f317(f224(x93471),f317(f317(f229(x93471),x93472),x93473)),f317(f317(f229(x93471),x93472),x93474))),f317(f317(f229(x93471),x93472),f317(f317(f224(x93471),x93473),x93474)))) % 199.88/200.99 [9348]~P98(x93481)+P1(f317(f317(f225(x93481),f317(f317(f91(x93481),f317(f317(f92(x93481),x93482),x93483)),f317(f317(f92(x93481),x93482),x93484))),f317(f317(f92(x93481),x93482),f317(f317(f91(x93481),x93483),x93484)))) % 199.88/200.99 [9412]~P25(x94122,x94121,x94124,f232(f905(x94122,a894)),f232(f905(x94121,a894)))+E(f317(f252(x94121),f317(f317(f8(x94122,a894,x94121),x94123),f85(x94122,x94121,f232(f905(x94122,a894)),x94124))),f317(f300(x94122,x94121,x94124),f317(f252(x94122),x94123))) % 199.88/200.99 [9426]~E(f317(f300(x94262,x94261,x94263),f232(f905(x94262,a894))),f232(f905(x94261,a894)))+P1(f317(f317(f225(f905(x94261,a894)),f317(f73(f905(x94261,a894)),f317(f300(x94262,x94261,x94263),x94264))),f317(f300(x94262,x94261,x94263),f317(f73(f905(x94262,a894)),x94264)))) % 199.88/200.99 [9760]P1(f317(f317(f319(f904(x97601,x97601)),f317(f317(f242(x97601,x97601),x97602),x97603)),f317(f276(x97601,x97601),f317(f317(f279(x97601,x97601,x97601),x97604),f297(x97601,x97604)))))+~P1(f317(f317(f319(f904(x97601,x97601)),f317(f317(f242(x97601,x97601),x97602),x97603)),f317(f317(f279(x97601,x97601,x97601),f317(f276(x97601,x97601),x97604)),f297(x97601,f317(f276(x97601,x97601),x97604))))) % 199.88/200.99 [9761]~P1(f317(f317(f319(f904(x97611,x97611)),f317(f317(f242(x97611,x97611),x97612),x97613)),f317(f276(x97611,x97611),f317(f317(f279(x97611,x97611,x97611),x97614),f297(x97611,x97614)))))+P1(f317(f317(f319(f904(x97611,x97611)),f317(f317(f242(x97611,x97611),x97612),x97613)),f317(f317(f279(x97611,x97611,x97611),f317(f276(x97611,x97611),x97614)),f297(x97611,f317(f276(x97611,x97611),x97614))))) % 199.88/200.99 [9782]~P1(f317(f317(f319(x97822),x97824),f317(f274(x97821,x97822),x97823)))+P1(f317(f317(f319(f904(x97821,x97822)),f317(f317(f242(x97821,x97822),f528(x97823,x97821,x97824,x97822)),x97824)),x97823)) % 199.88/200.99 [9783]~P1(f317(f317(f319(x97832),x97834),f317(f274(x97831,x97832),x97833)))+P1(f317(f317(f319(f904(x97831,x97832)),f317(f317(f242(x97831,x97832),f529(x97833,x97831,x97834,x97832)),x97834)),x97833)) % 199.88/200.99 [9808]~P1(f317(f317(f319(x98081),x98084),f317(f317(f91(f905(x98081,a894)),x98082),x98083)))+P1(f317(f317(f317(f91(f905(x98081,a894)),f317(f317(f7(x98081,f905(x98081,a894),a894),f319(x98081)),x98082)),f317(f317(f7(x98081,f905(x98081,a894),a894),f319(x98081)),x98083)),x98084)) % 199.88/200.99 [9809]~P1(f317(f317(f319(x98091),x98094),f317(f317(f92(f905(x98091,a894)),x98092),x98093)))+P1(f317(f317(f317(f92(f905(x98091,a894)),f317(f317(f7(x98091,f905(x98091,a894),a894),f319(x98091)),x98092)),f317(f317(f7(x98091,f905(x98091,a894),a894),f319(x98091)),x98093)),x98094)) % 199.88/200.99 [9889]~P1(f317(f317(f319(f904(x98891,x98891)),f317(f317(f242(x98891,x98891),x98894),x98893)),f317(f317(f279(x98891,x98891,x98891),x98892),f297(x98891,x98892))))+P1(f317(f317(f319(f904(x98891,x98891)),f317(f317(f242(x98891,x98891),f610(x98892,x98893,x98894,x98891)),x98893)),x98892)) % 199.88/200.99 [9924]P1(f317(f317(f319(x99241),x99242),f317(f317(f91(f905(x99241,a894)),x99243),x99244)))+~P1(f317(f317(f317(f91(f905(x99241,a894)),f317(f317(f7(x99241,f905(x99241,a894),a894),f319(x99241)),x99243)),f317(f317(f7(x99241,f905(x99241,a894),a894),f319(x99241)),x99244)),x99242)) % 199.88/200.99 [9925]P1(f317(f317(f319(x99251),x99252),f317(f317(f92(f905(x99251,a894)),x99253),x99254)))+~P1(f317(f317(f317(f92(f905(x99251,a894)),f317(f317(f7(x99251,f905(x99251,a894),a894),f319(x99251)),x99253)),f317(f317(f7(x99251,f905(x99251,a894),a894),f319(x99251)),x99254)),x99252)) % 199.88/200.99 [10207]P31(x102071,f317(f317(f7(x102071,f905(f904(x102071,x102071),a894),f905(x102071,a894)),f317(f317(f8(f905(x102071,f905(f905(f904(x102071,x102071),a894),a894)),f905(f905(f904(x102071,x102071),a894),f905(x102071,a894)),x102071),f7(x102071,f905(f904(x102071,x102071),a894),a894)),f317(f317(f8(f905(x102071,f904(x102071,x102071)),f905(x102071,f905(f905(f904(x102071,x102071),a894),a894)),x102071),f317(f8(f904(x102071,x102071),f905(f905(f904(x102071,x102071),a894),a894),x102071),f319(f904(x102071,x102071)))),f242(x102071,x102071)))),x102072),x102073,x102074)+~P1(f317(f317(f319(f904(f899(x102071),f899(x102071))),f317(f317(f242(f899(x102071),f899(x102071)),x102073),x102074)),f148(x102071,x102072))) % 199.88/200.99 [10211]P58(x102111,f317(f317(f7(x102111,f905(f904(x102111,x102111),a894),f905(x102111,a894)),f317(f317(f8(f905(x102111,f905(f905(f904(x102111,x102111),a894),a894)),f905(f905(f904(x102111,x102111),a894),f905(x102111,a894)),x102111),f7(x102111,f905(f904(x102111,x102111),a894),a894)),f317(f317(f8(f905(x102111,f904(x102111,x102111)),f905(x102111,f905(f905(f904(x102111,x102111),a894),a894)),x102111),f317(f8(f904(x102111,x102111),f905(f905(f904(x102111,x102111),a894),a894),x102111),f319(f904(x102111,x102111)))),f242(x102111,x102111)))),x102112),x102113,x102114)+~P1(f317(f317(f319(f904(f905(x102111,a894),f905(x102111,a894))),f317(f317(f242(f905(x102111,a894),f905(x102111,a894)),x102113),x102114)),f308(x102111,x102112))) % 199.88/200.99 [10246]E(x102461,x102462)+~E(f317(f317(f7(x102463,f905(f904(x102463,x102464),a894),f905(x102464,a894)),f317(f317(f8(f905(x102464,f905(f905(f904(x102463,x102464),a894),a894)),f905(f905(f904(x102463,x102464),a894),f905(x102464,a894)),x102463),f7(x102464,f905(f904(x102463,x102464),a894),a894)),f317(f317(f8(f905(x102464,f904(x102463,x102464)),f905(x102464,f905(f905(f904(x102463,x102464),a894),a894)),x102463),f317(f8(f904(x102463,x102464),f905(f905(f904(x102463,x102464),a894),a894),x102464),f319(f904(x102463,x102464)))),f242(x102463,x102464)))),x102461),f317(f317(f7(x102463,f905(f904(x102463,x102464),a894),f905(x102464,a894)),f317(f317(f8(f905(x102464,f905(f905(f904(x102463,x102464),a894),a894)),f905(f905(f904(x102463,x102464),a894),f905(x102464,a894)),x102463),f7(x102464,f905(f904(x102463,x102464),a894),a894)),f317(f317(f8(f905(x102464,f904(x102463,x102464)),f905(x102464,f905(f905(f904(x102463,x102464),a894),a894)),x102463),f317(f8(f904(x102463,x102464),f905(f905(f904(x102463,x102464),a894),a894),x102464),f319(f904(x102463,x102464)))),f242(x102463,x102464)))),x102462)) % 199.88/200.99 [10249]~P31(x102491,f317(f317(f7(x102491,f905(f904(x102491,x102491),a894),f905(x102491,a894)),f317(f317(f8(f905(x102491,f905(f905(f904(x102491,x102491),a894),a894)),f905(f905(f904(x102491,x102491),a894),f905(x102491,a894)),x102491),f7(x102491,f905(f904(x102491,x102491),a894),a894)),f317(f317(f8(f905(x102491,f904(x102491,x102491)),f905(x102491,f905(f905(f904(x102491,x102491),a894),a894)),x102491),f317(f8(f904(x102491,x102491),f905(f905(f904(x102491,x102491),a894),a894),x102491),f319(f904(x102491,x102491)))),f242(x102491,x102491)))),x102494),x102492,x102493)+P1(f317(f317(f319(f904(f899(x102491),f899(x102491))),f317(f317(f242(f899(x102491),f899(x102491)),x102492),x102493)),f148(x102491,x102494))) % 199.88/200.99 [10250]~P58(x102501,f317(f317(f7(x102501,f905(f904(x102501,x102501),a894),f905(x102501,a894)),f317(f317(f8(f905(x102501,f905(f905(f904(x102501,x102501),a894),a894)),f905(f905(f904(x102501,x102501),a894),f905(x102501,a894)),x102501),f7(x102501,f905(f904(x102501,x102501),a894),a894)),f317(f317(f8(f905(x102501,f904(x102501,x102501)),f905(x102501,f905(f905(f904(x102501,x102501),a894),a894)),x102501),f317(f8(f904(x102501,x102501),f905(f905(f904(x102501,x102501),a894),a894),x102501),f319(f904(x102501,x102501)))),f242(x102501,x102501)))),x102504),x102502,x102503)+P1(f317(f317(f319(f904(f905(x102501,a894),f905(x102501,a894))),f317(f317(f242(f905(x102501,a894),f905(x102501,a894)),x102502),x102503)),f308(x102501,x102504))) % 199.88/200.99 [7605]~P93(x76051)+E(f317(f317(f74(x76051),f317(f94(x76051),x76052)),f317(f317(f23(x76051),f317(f94(x76051),x76053)),x76054)),f317(f317(f23(x76051),f317(f94(x76051),f317(f317(f74(a1),x76052),x76053))),x76054)) % 199.88/200.99 [7606]~P93(x76061)+E(f317(f317(f74(x76061),f317(f94(x76061),x76062)),f317(f317(f74(x76061),f317(f94(x76061),x76063)),x76064)),f317(f317(f74(x76061),f317(f94(x76061),f317(f317(f74(a1),x76062),x76063))),x76064)) % 199.88/200.99 [7607]~P93(x76071)+E(f317(f317(f75(x76071),f317(f94(x76071),x76072)),f317(f317(f75(x76071),f317(f94(x76071),x76073)),x76074)),f317(f317(f75(x76071),f317(f94(x76071),f317(f317(f75(a1),x76072),x76073))),x76074)) % 199.88/200.99 [7650]~P144(x76501)+E(f317(f155(x76501),f317(f317(f144(x76502,x76501),f317(f16(x76501,x76502),x76503)),x76504)),f317(f317(f75(x76501),f317(f90(x76501),f317(f179(f899(x76502)),x76504))),x76503)) % 199.88/200.99 [7890]E(f317(f258(x78901,f317(f317(f141(f904(a89,x78901)),x78902),x78903)),x78904),f317(f246(a89,x78901),x78902))+~P1(f317(f317(f226(a89),x78904),f317(f241(a89,x78901),x78902))) % 199.88/200.99 [7931]~P93(x79311)+E(f317(f317(f74(x79311),f317(f94(x79311),x79312)),f317(f317(f23(x79311),x79313),f317(f94(x79311),x79314))),f317(f317(f74(x79311),f317(f94(x79311),f317(f317(f74(a1),x79312),f317(f73(a1),x79314)))),x79313)) % 199.88/200.99 [8065]E(f317(f258(x80651,x80652),f317(f317(f23(a89),x80653),f317(f241(a89,x80651),x80654))),f317(f258(x80651,f317(f317(f141(f904(a89,x80651)),x80654),x80652)),x80653))+P1(f317(f317(f226(a89),x80653),f317(f241(a89,x80651),x80654))) % 199.88/200.99 [8502]~P1(f317(f317(f319(x85021),x85022),f317(f162(x85021),f104(x85021,x85024))))+P1(f317(f317(f319(x85021),x85022),f317(f162(x85021),f104(x85021,f317(f317(f124(x85021),x85023),x85024))))) % 199.88/200.99 [8503]~P1(f317(f317(f319(x85031),x85032),f317(f162(x85031),f104(x85031,x85033))))+P1(f317(f317(f319(x85031),x85032),f317(f162(x85031),f104(x85031,f317(f317(f124(x85031),x85033),x85034))))) % 199.88/200.99 [8522]E(f317(f317(f91(f905(x85221,a894)),f317(f317(f92(f905(x85221,a894)),x85222),x85223)),x85224),f317(f317(f92(f905(x85221,a894)),x85222),f317(f317(f91(f905(x85221,a894)),x85223),x85224)))+~P1(f317(f317(f225(f905(x85221,a894)),x85224),x85222)) % 199.88/200.99 [8831]~E(f317(f317(f91(f905(x88311,a894)),f317(f317(f92(f905(x88311,a894)),x88313),x88314)),x88312),f317(f317(f92(f905(x88311,a894)),x88313),f317(f317(f91(f905(x88311,a894)),x88314),x88312)))+P1(f317(f317(f225(f905(x88311,a894)),x88312),x88313)) % 199.88/200.99 [9119]~P1(f317(f317(f225(f905(x91191,a894)),x91192),f317(f317(f91(f905(x91191,a894)),x91193),x91194)))+P1(f317(f317(f225(f905(x91191,a894)),f317(f317(f23(f905(x91191,a894)),x91192),x91193)),x91194)) % 199.88/200.99 [9236]~E(f317(f300(x92361,x92362,x92363),f232(f905(x92361,a894))),f232(f905(x92362,a894)))+E(f317(f300(x92361,x92362,x92363),f317(f300(x92362,x92361,f85(x92361,x92362,f232(f905(x92361,a894)),x92363)),x92364)),x92364) % 199.88/200.99 [9241]P1(f317(f317(f225(f905(x92411,a894)),x92412),f317(f317(f91(f905(x92411,a894)),x92413),x92414)))+~P1(f317(f317(f225(f905(x92411,a894)),f317(f317(f23(f905(x92411,a894)),x92412),x92413)),x92414)) % 199.88/200.99 [9326]~P85(x93261)+E(f317(f70(x93261),f317(f317(f6(x93262,x93261),f317(f317(f8(x93261,x93261,x93262),f70(x93261)),x93263)),x93264)),f317(f317(f6(x93262,x93261),f317(f317(f8(x93261,x93261,x93262),f70(x93261)),x93263)),x93264)) % 199.88/200.99 [9502]~P85(x95021)+P1(f317(f317(f225(x95021),f2(x95021)),f317(f317(f6(x95022,x95021),f317(f317(f8(x95021,x95021,x95022),f70(x95021)),x95023)),x95024))) % 199.88/200.99 [9506]~P68(x95061)+E(f317(f155(x95061),f317(f317(f144(x95062,x95061),f317(f67(x95061,x95061,x95062,f73(x95061)),x95063)),x95064)),f317(f73(x95061),f317(f155(x95061),f317(f317(f144(x95062,x95061),x95063),x95064)))) % 199.88/200.99 [9656]~P85(x96561)+P1(f317(f317(f225(x96561),f317(f70(x96561),f317(f317(f6(x96562,x96561),x96563),x96564))),f317(f317(f6(x96562,x96561),f317(f317(f8(x96561,x96561,x96562),f70(x96561)),x96563)),x96564))) % 199.88/200.99 [9685]~E(f317(f317(f74(a898),x96851),x96854),f317(f317(f74(a898),x96853),x96852))+P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),f317(f317(f242(a898,a898),x96851),x96852)),f317(f317(f242(a898,a898),x96853),x96854))),a99)) % 199.88/200.99 [9686]~P1(f317(f317(f226(a898),x96861),x96863))+P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),f317(f317(f242(a898,a898),x96861),x96862)),f317(f317(f242(a898,a898),x96863),x96864))),a26)) % 199.88/200.99 [9687]~P1(f317(f317(f226(a898),x96871),x96873))+P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),f317(f317(f242(a898,a898),x96871),x96872)),f317(f317(f242(a898,a898),x96873),x96874))),a65)) % 199.88/200.99 [9833]E(f317(f317(f74(a898),x98331),x98332),f317(f317(f74(a898),x98333),x98334))+~P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),f317(f317(f242(a898,a898),x98331),x98334)),f317(f317(f242(a898,a898),x98333),x98332))),a99)) % 199.88/200.99 [9864]E(f317(f317(f154(x98641),f317(f317(f128(x98641),f317(f179(f899(x98641)),f167(x98641,x98642,x98643))),x98643)),x98644),f317(f317(f154(x98641),x98643),f317(f317(f74(a898),x98644),f317(f179(f899(x98641)),f167(x98641,x98642,x98643)))))+~P1(f317(f317(f226(a898),x98644),f317(f179(f899(x98641)),f317(f317(f128(x98641),f317(f179(f899(x98641)),f167(x98641,x98642,x98643))),x98643)))) % 199.88/200.99 [9880]~P1(f317(f317(f319(x98802),x98804),f317(f317(f34(x98801,f905(x98802,a894)),f232(f905(x98801,a894))),x98803)))+P1(f317(f317(f317(f34(x98801,f905(x98802,a894)),f232(f905(x98801,a894))),f317(f317(f8(f905(x98802,a894),f905(x98802,a894),x98801),f317(f7(x98802,f905(x98802,a894),a894),f319(x98802))),x98803)),x98804)) % 199.88/200.99 [9881]~P1(f317(f317(f319(x98812),x98814),f317(f317(f35(x98811,f905(x98812,a894)),f232(f905(x98811,a894))),x98813)))+P1(f317(f317(f317(f35(x98811,f905(x98812,a894)),f232(f905(x98811,a894))),f317(f317(f8(f905(x98812,a894),f905(x98812,a894),x98811),f317(f7(x98812,f905(x98812,a894),a894),f319(x98812))),x98813)),x98814)) % 199.88/200.99 [9950]~P1(f317(f44(x99501,x99502),f317(f317(f242(a1,a1),x99504),x99503)))+P1(f317(f44(f317(f73(a1),x99501),x99502),f317(f317(f242(a1,a1),f317(f317(f317(f86(a1),f317(f317(a314,x99503),f2(a1))),f317(f73(a1),x99504)),f317(f317(f23(a1),f317(f73(a1),x99504)),f72(a1)))),f317(f317(f317(f86(a1),f317(f317(a314,x99503),f2(a1))),f2(a1)),f317(f317(f23(a1),x99502),x99503))))) % 199.88/200.99 [9962]P1(f317(f317(f319(x99621),x99622),f317(f317(f34(x99623,f905(x99621,a894)),f232(f905(x99623,a894))),x99624)))+~P1(f317(f317(f317(f34(x99623,f905(x99621,a894)),f232(f905(x99623,a894))),f317(f317(f8(f905(x99621,a894),f905(x99621,a894),x99623),f317(f7(x99621,f905(x99621,a894),a894),f319(x99621))),x99624)),x99622)) % 199.88/200.99 [9963]P1(f317(f317(f319(x99631),x99632),f317(f317(f35(x99633,f905(x99631,a894)),f232(f905(x99633,a894))),x99634)))+~P1(f317(f317(f317(f35(x99633,f905(x99631,a894)),f232(f905(x99633,a894))),f317(f317(f8(f905(x99631,a894),f905(x99631,a894),x99633),f317(f7(x99631,f905(x99631,a894),a894),f319(x99631))),x99634)),x99632)) % 199.88/200.99 [9975]E(f317(f317(f34(a898,f905(x99751,a894)),f232(f905(a898,a894))),x99752),f317(f317(f34(a898,f905(x99751,a894)),f232(f905(a898,a894))),x99753))+~E(f317(f317(f34(a898,f905(x99751,a894)),f317(f292(a898,f2(a898)),f464(x99752,x99754,x99753,x99751))),x99753),f317(f317(f34(a898,f905(x99751,a894)),f317(f292(a898,f2(a898)),f317(f317(f74(a898),f464(x99752,x99754,x99753,x99751)),x99754))),x99752)) % 199.88/200.99 [10327]~P1(f317(f317(f225(f905(f904(x103271,x103272),a894)),x103273),x103274))+P1(f317(f317(f225(f905(x103271,f905(x103272,a894))),f317(f317(f7(x103271,f905(f904(x103271,x103272),a894),f905(x103272,a894)),f317(f317(f8(f905(x103272,f905(f905(f904(x103271,x103272),a894),a894)),f905(f905(f904(x103271,x103272),a894),f905(x103272,a894)),x103271),f7(x103272,f905(f904(x103271,x103272),a894),a894)),f317(f317(f8(f905(x103272,f904(x103271,x103272)),f905(x103272,f905(f905(f904(x103271,x103272),a894),a894)),x103271),f317(f8(f904(x103271,x103272),f905(f905(f904(x103271,x103272),a894),a894),x103272),f319(f904(x103271,x103272)))),f242(x103271,x103272)))),x103273)),f317(f317(f7(x103271,f905(f904(x103271,x103272),a894),f905(x103272,a894)),f317(f317(f8(f905(x103272,f905(f905(f904(x103271,x103272),a894),a894)),f905(f905(f904(x103271,x103272),a894),f905(x103272,a894)),x103271),f7(x103272,f905(f904(x103271,x103272),a894),a894)),f317(f317(f8(f905(x103272,f904(x103271,x103272)),f905(x103272,f905(f905(f904(x103271,x103272),a894),a894)),x103271),f317(f8(f904(x103271,x103272),f905(f905(f904(x103271,x103272),a894),a894),x103272),f319(f904(x103271,x103272)))),f242(x103271,x103272)))),x103274))) % 199.88/200.99 [10343]P1(f317(f317(f225(f905(f904(x103431,x103432),a894)),x103433),x103434))+~P1(f317(f317(f225(f905(x103431,f905(x103432,a894))),f317(f317(f7(x103431,f905(f904(x103431,x103432),a894),f905(x103432,a894)),f317(f317(f8(f905(x103432,f905(f905(f904(x103431,x103432),a894),a894)),f905(f905(f904(x103431,x103432),a894),f905(x103432,a894)),x103431),f7(x103432,f905(f904(x103431,x103432),a894),a894)),f317(f317(f8(f905(x103432,f904(x103431,x103432)),f905(x103432,f905(f905(f904(x103431,x103432),a894),a894)),x103431),f317(f8(f904(x103431,x103432),f905(f905(f904(x103431,x103432),a894),a894),x103432),f319(f904(x103431,x103432)))),f242(x103431,x103432)))),x103433)),f317(f317(f7(x103431,f905(f904(x103431,x103432),a894),f905(x103432,a894)),f317(f317(f8(f905(x103432,f905(f905(f904(x103431,x103432),a894),a894)),f905(f905(f904(x103431,x103432),a894),f905(x103432,a894)),x103431),f7(x103432,f905(f904(x103431,x103432),a894),a894)),f317(f317(f8(f905(x103432,f904(x103431,x103432)),f905(x103432,f905(f905(f904(x103431,x103432),a894),a894)),x103431),f317(f8(f904(x103431,x103432),f905(f905(f904(x103431,x103432),a894),a894),x103432),f319(f904(x103431,x103432)))),f242(x103431,x103432)))),x103434))) % 199.88/200.99 [9375]~P1(f317(f317(f319(f904(x93751,x93751)),x93752),f297(x93751,x93754)))+P1(f317(f317(f319(f904(x93751,x93751)),x93752),f297(x93751,f317(f317(f91(f905(f904(x93751,x93751),a894)),x93753),x93754)))) % 199.88/200.99 [9376]~P1(f317(f317(f319(f904(x93761,x93761)),x93762),f297(x93761,x93763)))+P1(f317(f317(f319(f904(x93761,x93761)),x93762),f297(x93761,f317(f317(f91(f905(f904(x93761,x93761),a894)),x93763),x93764)))) % 199.88/200.99 [10061]~P1(f317(f317(f225(a898),f317(f317(f74(a898),x100611),x100614)),f317(f317(f74(a898),x100613),x100612)))+P1(f317(f317(f225(a1),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x100611),x100612)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x100613),x100614)),f178(f905(f904(a898,a898),a894))))))) % 199.88/200.99 [10062]~P1(f317(f317(f226(a898),f317(f317(f74(a898),x100621),x100624)),f317(f317(f74(a898),x100623),x100622)))+P1(f317(f317(f226(a1),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x100621),x100622)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x100623),x100624)),f178(f905(f904(a898,a898),a894))))))) % 199.88/200.99 [10149]P1(f317(f317(f225(a898),f317(f317(f74(a898),x101491),x101492)),f317(f317(f74(a898),x101493),x101494)))+~P1(f317(f317(f225(a1),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x101491),x101494)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x101493),x101492)),f178(f905(f904(a898,a898),a894))))))) % 199.88/200.99 [10150]P1(f317(f317(f226(a898),f317(f317(f74(a898),x101501),x101502)),f317(f317(f74(a898),x101503),x101504)))+~P1(f317(f317(f226(a1),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x101501),x101504)),f178(f905(f904(a898,a898),a894)))))),f317(a83,f317(f275(f904(a898,a898),f904(a898,a898),a99),f317(f317(f299(f904(a898,a898)),f317(f317(f242(a898,a898),x101503),x101502)),f178(f905(f904(a898,a898),a894))))))) % 199.88/200.99 [10193]P1(f317(f317(f225(f905(x101931,a894)),f317(f317(f34(a898,f905(x101931,a894)),f232(f905(a898,a894))),x101932)),f317(f317(f34(a898,f905(x101931,a894)),f232(f905(a898,a894))),x101933)))+~P1(f317(f317(f225(f905(x101931,a894)),f317(f317(f34(a898,f905(x101931,a894)),f317(f292(a898,f2(a898)),f465(x101933,x101934,x101932,x101931))),x101932)),f317(f317(f34(a898,f905(x101931,a894)),f317(f292(a898,f2(a898)),f317(f317(f74(a898),f465(x101933,x101934,x101932,x101931)),x101934))),x101933))) % 199.88/200.99 [10253]P1(f317(f317(f225(a89),x102534),f2(a89)))+E(f317(f317(f249(f904(a89,a89),f904(x102531,f905(a897,a313)),f904(a89,a89),f904(f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89))),f317(x102532,x102533)),f317(f317(f8(f905(f905(a89,f905(a894,f901(f900(x102531)))),f905(f904(a89,a89),f904(f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89)))),f905(f904(a89,a89),f904(f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89))),f904(x102531,f905(a897,a313))),f317(f249(f904(a89,a89),f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89),f904(f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89))),f267(x102531,x102532,f317(f317(f23(a89),x102534),f72(a89)),x102533))),f317(f317(f8(f905(f905(a89,f905(a894,f901(f900(x102531)))),f905(a89,f905(a894,f901(f900(x102531))))),f905(f905(a89,f905(a894,f901(f900(x102531)))),f905(f904(a89,a89),f904(f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89)))),f904(x102531,f905(a897,a313))),f317(f8(f905(a89,f905(a894,f901(f900(x102531)))),f905(f904(a89,a89),f904(f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89))),f905(a89,f905(a894,f901(f900(x102531))))),f242(f905(a89,f905(a894,f901(f900(x102531)))),f904(a89,a89)))),f317(f317(f8(f905(a89,f905(a894,f901(f900(x102531)))),f905(f905(a89,f905(a894,f901(f900(x102531)))),f905(a89,f905(a894,f901(f900(x102531))))),f904(x102531,f905(a897,a313))),f39(x102531)),f317(f317(f8(x102531,f905(a89,f905(a894,f901(f900(x102531)))),f904(x102531,f905(a897,a313))),f37(x102531)),f241(x102531,f905(a897,a313))))))),f267(x102531,x102532,x102534,x102533)) % 199.88/200.99 [10317]~P1(f317(f317(f319(x103172),x103174),f317(f274(x103171,x103172),x103173)))+P1(f317(f240(x103171,x103172,f317(f317(f7(x103171,f905(f904(x103171,x103172),a894),f905(x103172,a894)),f317(f317(f8(f905(x103172,f905(f905(f904(x103171,x103172),a894),a894)),f905(f905(f904(x103171,x103172),a894),f905(x103172,a894)),x103171),f7(x103172,f905(f904(x103171,x103172),a894),a894)),f317(f317(f8(f905(x103172,f904(x103171,x103172)),f905(x103172,f905(f905(f904(x103171,x103172),a894),a894)),x103171),f317(f8(f904(x103171,x103172),f905(f905(f904(x103171,x103172),a894),a894),x103172),f319(f904(x103171,x103172)))),f242(x103171,x103172)))),x103173)),x103174)) % 199.88/200.99 [10318]~P1(f317(f317(f319(x103181),x103184),f317(f254(x103181,x103182),x103183)))+P1(f317(f239(x103181,x103182,f317(f317(f7(x103181,f905(f904(x103181,x103182),a894),f905(x103182,a894)),f317(f317(f8(f905(x103182,f905(f905(f904(x103181,x103182),a894),a894)),f905(f905(f904(x103181,x103182),a894),f905(x103182,a894)),x103181),f7(x103182,f905(f904(x103181,x103182),a894),a894)),f317(f317(f8(f905(x103182,f904(x103181,x103182)),f905(x103182,f905(f905(f904(x103181,x103182),a894),a894)),x103181),f317(f8(f904(x103181,x103182),f905(f905(f904(x103181,x103182),a894),a894),x103182),f319(f904(x103181,x103182)))),f242(x103181,x103182)))),x103183)),x103184)) % 199.88/200.99 [10330]P1(f317(f317(f319(x103301),x103302),f317(f274(x103303,x103301),x103304)))+~P1(f317(f240(x103303,x103301,f317(f317(f7(x103303,f905(f904(x103303,x103301),a894),f905(x103301,a894)),f317(f317(f8(f905(x103301,f905(f905(f904(x103303,x103301),a894),a894)),f905(f905(f904(x103303,x103301),a894),f905(x103301,a894)),x103303),f7(x103301,f905(f904(x103303,x103301),a894),a894)),f317(f317(f8(f905(x103301,f904(x103303,x103301)),f905(x103301,f905(f905(f904(x103303,x103301),a894),a894)),x103303),f317(f8(f904(x103303,x103301),f905(f905(f904(x103303,x103301),a894),a894),x103301),f319(f904(x103303,x103301)))),f242(x103303,x103301)))),x103304)),x103302)) % 199.88/200.99 [10331]P1(f317(f317(f319(x103311),x103312),f317(f254(x103311,x103313),x103314)))+~P1(f317(f239(x103311,x103313,f317(f317(f7(x103311,f905(f904(x103311,x103313),a894),f905(x103313,a894)),f317(f317(f8(f905(x103313,f905(f905(f904(x103311,x103313),a894),a894)),f905(f905(f904(x103311,x103313),a894),f905(x103313,a894)),x103311),f7(x103313,f905(f904(x103311,x103313),a894),a894)),f317(f317(f8(f905(x103313,f904(x103311,x103313)),f905(x103313,f905(f905(f904(x103311,x103313),a894),a894)),x103311),f317(f8(f904(x103311,x103313),f905(f905(f904(x103311,x103313),a894),a894),x103313),f319(f904(x103311,x103313)))),f242(x103311,x103313)))),x103314)),x103312)) % 199.88/200.99 [9986]P1(f317(f150(x99861,x99862),x99863))+~P1(f317(f150(x99861,f317(f317(f18(x99861,a894,a894),f317(f317(f8(a894,f905(a894,a894),x99861),a315),x99864)),x99862)),x99863)) % 199.88/200.99 [9987]P1(f317(f150(x99871,x99872),x99873))+~P1(f317(f150(x99871,f317(f317(f18(x99871,a894,a894),f317(f317(f8(a894,f905(a894,a894),x99871),a315),x99872)),x99874)),x99873)) % 199.88/200.99 [10073]~P112(x100731)+E(f317(f317(f75(x100731),f317(f317(f74(x100731),f72(x100731)),f72(x100731))),f317(f317(f6(a898,x100731),f317(f317(f8(x100731,x100731,a898),f317(f74(x100731),x100732)),f317(f317(f7(a898,x100731,x100731),f317(f317(f8(x100731,f905(x100731,x100731),a898),f75(x100731)),f90(x100731))),x100733))),f317(f272(a898),x100734))),f317(f317(f75(x100731),f317(f90(x100731),x100734)),f317(f317(f74(x100731),x100732),f317(f317(f74(x100731),x100732),f317(f317(f75(x100731),f317(f90(x100731),f317(f317(f23(a898),x100734),f72(a898)))),x100733))))) % 199.88/200.99 [10214]P1(f317(x102141,f539(x102142,x102143,x102144,x102141)))+P36(x102142,f317(f252(f904(x102142,x102142)),f317(f247(x102142,x102142,a894),f317(f317(f8(f905(x102142,a894),f905(x102142,a894),x102142),f317(f18(x102142,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102142),a315),x102141))),f317(f317(f7(x102142,f905(x102142,x102142),f905(x102142,a894)),f317(f317(f8(f905(x102142,a894),f905(f905(x102142,x102142),f905(x102142,a894)),x102142),f8(x102142,a894,x102142)),a314)),x102143))))) % 199.88/200.99 [10228]~P1(f317(f317(f226(a898),f317(x102284,f317(x102283,f539(x102281,x102283,x102284,x102282)))),f317(x102284,f539(x102281,x102283,x102284,x102282))))+P36(x102281,f317(f252(f904(x102281,x102281)),f317(f247(x102281,x102281,a894),f317(f317(f8(f905(x102281,a894),f905(x102281,a894),x102281),f317(f18(x102281,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102281),a315),x102282))),f317(f317(f7(x102281,f905(x102281,x102281),f905(x102281,a894)),f317(f317(f8(f905(x102281,a894),f905(f905(x102281,x102281),f905(x102281,a894)),x102281),f8(x102281,a894,x102281)),a314)),x102283))))) % 199.88/200.99 [10304]~P5(x103041)+E(f32(x103041,f317(f252(x103041),f317(f317(f8(f905(f905(x103042,x103041),a894),a894,x103041),f81(f905(x103042,x103041))),f317(f317(f8(f905(f905(x103042,x103041),a894),f905(f905(x103042,x103041),a894),x103041),f317(f18(f905(x103042,x103041),a894,a894),f317(f317(f8(a894,f905(a894,a894),f905(x103042,x103041)),a315),f317(f317(f7(f905(x103042,x103041),f905(f905(x103042,x103041),a894),a894),f319(f905(x103042,x103041))),x103043)))),f317(f317(f7(x103041,f905(f905(x103042,x103041),x103041),f905(f905(x103042,x103041),a894)),f317(f317(f8(f905(x103041,a894),f905(f905(f905(x103042,x103041),x103041),f905(f905(x103042,x103041),a894)),x103041),f8(x103041,a894,f905(x103042,x103041))),a314)),f317(f317(f7(f905(x103042,x103041),x103042,x103041),f5(f905(x103042,x103041))),x103044)))))),f317(f32(f905(x103042,x103041),x103043),x103044)) % 199.88/200.99 [10305]~P5(x103051)+E(f32(x103051,f317(f252(x103051),f317(f317(f8(f905(f905(x103052,x103051),a894),a894,x103051),f81(f905(x103052,x103051))),f317(f317(f8(f905(f905(x103052,x103051),a894),f905(f905(x103052,x103051),a894),x103051),f317(f18(f905(x103052,x103051),a894,a894),f317(f317(f8(a894,f905(a894,a894),f905(x103052,x103051)),a315),f317(f317(f7(f905(x103052,x103051),f905(f905(x103052,x103051),a894),a894),f319(f905(x103052,x103051))),x103053)))),f317(f317(f7(x103051,f905(f905(x103052,x103051),x103051),f905(f905(x103052,x103051),a894)),f317(f317(f8(f905(x103051,a894),f905(f905(f905(x103052,x103051),x103051),f905(f905(x103052,x103051),a894)),x103051),f8(x103051,a894,f905(x103052,x103051))),a314)),f317(f317(f7(f905(x103052,x103051),x103052,x103051),f5(f905(x103052,x103051))),x103054)))))),f317(f32(f905(x103052,x103051),x103053),x103054)) % 199.88/200.99 [10306]~P5(x103061)+E(f31(x103061,f317(f252(x103061),f317(f317(f8(f905(f905(x103062,x103061),a894),a894,x103061),f81(f905(x103062,x103061))),f317(f317(f8(f905(f905(x103062,x103061),a894),f905(f905(x103062,x103061),a894),x103061),f317(f18(f905(x103062,x103061),a894,a894),f317(f317(f8(a894,f905(a894,a894),f905(x103062,x103061)),a315),f317(f317(f7(f905(x103062,x103061),f905(f905(x103062,x103061),a894),a894),f319(f905(x103062,x103061))),x103063)))),f317(f317(f7(x103061,f905(f905(x103062,x103061),x103061),f905(f905(x103062,x103061),a894)),f317(f317(f8(f905(x103061,a894),f905(f905(f905(x103062,x103061),x103061),f905(f905(x103062,x103061),a894)),x103061),f8(x103061,a894,f905(x103062,x103061))),a314)),f317(f317(f7(f905(x103062,x103061),x103062,x103061),f5(f905(x103062,x103061))),x103064)))))),f317(f31(f905(x103062,x103061),x103063),x103064)) % 199.88/200.99 [10307]~P5(x103071)+E(f31(x103071,f317(f252(x103071),f317(f317(f8(f905(f905(x103072,x103071),a894),a894,x103071),f81(f905(x103072,x103071))),f317(f317(f8(f905(f905(x103072,x103071),a894),f905(f905(x103072,x103071),a894),x103071),f317(f18(f905(x103072,x103071),a894,a894),f317(f317(f8(a894,f905(a894,a894),f905(x103072,x103071)),a315),f317(f317(f7(f905(x103072,x103071),f905(f905(x103072,x103071),a894),a894),f319(f905(x103072,x103071))),x103073)))),f317(f317(f7(x103071,f905(f905(x103072,x103071),x103071),f905(f905(x103072,x103071),a894)),f317(f317(f8(f905(x103071,a894),f905(f905(f905(x103072,x103071),x103071),f905(f905(x103072,x103071),a894)),x103071),f8(x103071,a894,f905(x103072,x103071))),a314)),f317(f317(f7(f905(x103072,x103071),x103072,x103071),f5(f905(x103072,x103071))),x103074)))))),f317(f31(f905(x103072,x103071),x103073),x103074)) % 199.88/200.99 [10356]~P1(f317(f317(f319(f904(x103561,x103561)),f317(f317(f242(x103561,x103561),x103563),x103564)),f317(f317(f91(f905(f904(x103561,x103561),a894)),x103562),f297(x103561,f178(f905(f904(x103561,x103561),a894))))))+P1(f317(f317(f317(f317(f91(f905(x103561,f905(x103561,a894))),f317(f317(f7(x103561,f905(f904(x103561,x103561),a894),f905(x103561,a894)),f317(f317(f8(f905(x103561,f905(f905(f904(x103561,x103561),a894),a894)),f905(f905(f904(x103561,x103561),a894),f905(x103561,a894)),x103561),f7(x103561,f905(f904(x103561,x103561),a894),a894)),f317(f317(f8(f905(x103561,f904(x103561,x103561)),f905(x103561,f905(f905(f904(x103561,x103561),a894),a894)),x103561),f317(f8(f904(x103561,x103561),f905(f905(f904(x103561,x103561),a894),a894),x103561),f319(f904(x103561,x103561)))),f242(x103561,x103561)))),x103562)),a314),x103563),x103564)) % 199.88/200.99 [10366]P1(f317(f317(f319(f904(x103661,x103661)),f317(f317(f242(x103661,x103661),x103662),x103663)),f317(f317(f91(f905(f904(x103661,x103661),a894)),x103664),f297(x103661,f178(f905(f904(x103661,x103661),a894))))))+~P1(f317(f317(f317(f317(f91(f905(x103661,f905(x103661,a894))),f317(f317(f7(x103661,f905(f904(x103661,x103661),a894),f905(x103661,a894)),f317(f317(f8(f905(x103661,f905(f905(f904(x103661,x103661),a894),a894)),f905(f905(f904(x103661,x103661),a894),f905(x103661,a894)),x103661),f7(x103661,f905(f904(x103661,x103661),a894),a894)),f317(f317(f8(f905(x103661,f904(x103661,x103661)),f905(x103661,f905(f905(f904(x103661,x103661),a894),a894)),x103661),f317(f8(f904(x103661,x103661),f905(f905(f904(x103661,x103661),a894),a894),x103661),f319(f904(x103661,x103661)))),f242(x103661,x103661)))),x103664)),a314),x103662),x103663)) % 199.88/200.99 [10314]E(f317(f317(f141(f899(x103141)),f317(f317(f141(x103141),x103142),f317(f132(f899(x103141),f899(x103141),f124(x103141),f103(x103141)),f317(f317(f144(f899(x103141),f899(x103141)),f146(f899(x103141),x103141,f103(x103141),f317(f317(f8(f899(x103141),f905(f899(x103141),f899(x103141)),x103141),f16(f899(x103141),f899(x103141))),f317(f317(f7(x103141,f899(x103141),f899(x103141)),f141(x103141)),f103(x103141))))),x103143)))),f169(x103141,f317(f317(f141(f899(x103141)),x103144),f317(f132(f899(f899(x103141)),f899(f899(x103141)),f124(f899(x103141)),f103(f899(x103141))),f317(f317(f144(f899(x103141),f899(f899(x103141))),f146(f899(f899(x103141)),x103141,f103(f899(x103141)),f317(f16(f905(f899(x103141),f899(f899(x103141))),x103141),f317(f317(f7(f899(x103141),f899(f899(x103141)),f899(f899(x103141))),f141(f899(x103141))),f103(f899(x103141)))))),x103143))))),f169(x103141,f317(f317(f141(f899(x103141)),f317(f317(f141(x103141),x103142),x103144)),x103143)))+~P1(f317(f305(f899(f899(x103141)),f170(x103141)),f317(f317(f141(f899(x103141)),f317(f317(f141(x103141),x103142),x103144)),x103143))) % 199.88/200.99 [10355]~P1(f317(f28(x103552),f317(f252(x103552),x103554)))+P1(f317(f28(x103551),f317(f252(x103551),f317(f317(f8(f905(x103552,a894),a894,x103551),f81(x103552)),f317(f317(f7(x103551,f905(x103552,a894),f905(x103552,a894)),f317(f317(f8(f905(x103552,f905(a894,a894)),f905(f905(x103552,a894),f905(x103552,a894)),x103551),f18(x103552,a894,a894)),f317(f317(f8(f905(x103552,a894),f905(x103552,f905(a894,a894)),x103551),f317(f8(a894,f905(a894,a894),x103552),a315)),f317(f317(f7(x103551,f905(x103552,x103551),f905(x103552,a894)),f317(f317(f8(f905(x103551,a894),f905(f905(x103552,x103551),f905(x103552,a894)),x103551),f8(x103551,a894,x103552)),a314)),x103553)))),x103554))))) % 199.88/200.99 [8869]P24(x88691,x88692,x88693,x88694)+~P25(x88691,x88692,x88693,x88694,x88695) % 199.88/200.99 [5327]E(x53271,x53272)+~E(f159(x53273,x53271,x53274),f159(x53273,x53272,x53275)) % 199.88/200.99 [5328]E(x53281,x53282)+~E(f116(x53283,x53284,x53281),f116(x53283,x53285,x53282)) % 199.88/200.99 [5329]E(x53291,x53292)+~E(f116(x53293,x53291,x53294),f116(x53293,x53292,x53295)) % 199.88/200.99 [8196]~E(f317(x81963,x81964),x81965)+E(f69(x81961,x81962,x81963,x81964,x81965),x81963) % 199.88/200.99 [8727]~E(f69(x87274,x87275,x87271,x87272,x87273),x87271)+E(f317(x87271,x87272),x87273) % 199.88/200.99 [9345]~P25(x93452,x93451,x93454,x93453,x93455)+P25(x93451,x93452,f71(x93452,x93451,x93453,x93454),x93455,x93453) % 199.88/200.99 [9346]~P25(x93462,x93461,x93464,x93463,x93465)+P25(x93461,x93462,f85(x93462,x93461,x93463,x93464),x93465,x93463) % 199.88/200.99 [6148]P1(f317(f240(x61481,x61482,x61483),x61484))+~P1(f317(f317(x61483,x61485),x61484)) % 199.88/200.99 [6150]P1(f317(f239(x61501,x61502,x61503),x61504))+~P1(f317(f317(x61503,x61504),x61505)) % 199.88/200.99 [6639]~E(x66395,f2(a89))+E(f317(f186(x66391,x66392,x66393,x66394),x66395),f114(x66392)) % 199.88/200.99 [6640]~E(x66405,f2(a89))+E(f317(f188(x66401,x66402,x66403,x66404),x66405),f105(x66402)) % 199.88/200.99 [6780]~E(x67803,f2(a89))+E(f317(f263(x67801,x67802,x67803,x67804),x67805),f317(f242(x67801,x67802),x67805)) % 199.88/200.99 [7845]~P20(x78454,x78451,x78452,x78455)+E(f317(f67(x78451,x78451,x78451,f317(x78452,x78453)),f317(x78452,x78453)),f317(x78452,x78453)) % 199.88/200.99 [8237]~P16(x82375,x82371,x82372)+E(f317(f67(x82371,x82371,x82371,f317(x82372,x82373)),f317(x82372,x82374)),f317(f67(x82371,x82371,x82371,f317(x82372,x82374)),f317(x82372,x82373))) % 199.88/200.99 [8562]P1(f317(f317(f319(f904(x85621,x85621)),f317(f317(f242(x85621,x85621),x85622),x85623)),f311(x85621,x85624,x85625)))+~P1(f317(f317(f226(a898),f317(x85624,x85622)),f317(x85624,x85623))) % 199.88/200.99 [8655]~P1(f317(f317(f319(x86554),x86553),f280(x86554,x86551,x86552,x86555)))+P1(f317(f317(x86551,x86552),x86553)) % 199.88/200.99 [8656]~P1(f317(f317(f319(x86564),x86563),f289(x86564,x86561,x86562,x86565)))+P1(f317(f317(x86561,x86562),x86563)) % 199.88/200.99 [8657]~P1(f317(f317(f319(x86574),x86572),f280(x86574,x86571,x86575,x86573)))+P1(f317(f317(x86571,x86572),x86573)) % 199.88/200.99 [8658]~P1(f317(f317(f319(x86584),x86582),f289(x86584,x86581,x86585,x86583)))+P1(f317(f317(x86581,x86582),x86583)) % 199.88/200.99 [8739]~P25(x87391,x87393,x87395,x87392,x87394)+E(f317(f29(x87391),x87392),f317(f29(x87393),x87394)) % 199.88/200.99 [8787]~P25(x87871,x87872,x87873,x87874,x87875)+E(f317(f300(x87871,x87872,x87873),x87874),x87875) % 199.88/200.99 [8807]~P56(x88072,x88071,x88075,x88073,x88074)+E(f317(f300(x88071,x88072,x88073),x88074),f232(f905(x88072,a894))) % 199.88/200.99 [9253]~P33(x92531,x92532,x92533,x92534,x92535)+P33(x92531,x92532,x92533,f317(f158(x92531),x92534),f317(f158(x92532),x92535)) % 199.88/200.99 [9255]~P33(x92551,x92552,x92553,f317(f158(x92551),x92554),x92555)+P33(x92551,x92552,x92553,x92554,f317(f158(x92552),x92555)) % 199.88/200.99 [9256]~P33(x92561,x92562,x92563,x92564,f317(f158(x92562),x92565))+P33(x92561,x92562,x92563,f317(f158(x92561),x92564),x92565) % 199.88/200.99 [9262]P33(x92621,x92622,x92623,x92624,x92625)+~P33(x92621,x92622,x92623,f317(f158(x92621),x92624),f317(f158(x92622),x92625)) % 199.88/200.99 [9675]P1(f317(f317(f319(f904(f899(x96751),f899(x96751))),f317(f317(f242(f899(x96751),f899(x96751)),f317(f317(f141(x96751),x96752),x96753)),f317(f317(f141(x96751),x96752),x96754))),f147(x96751,x96755)))+~P1(f317(f317(f319(f904(f899(x96751),f899(x96751))),f317(f317(f242(f899(x96751),f899(x96751)),x96753),x96754)),f147(x96751,x96755))) % 199.88/200.99 [9676]P1(f317(f317(f319(f904(f899(x96761),f899(x96761))),f317(f317(f242(f899(x96761),f899(x96761)),f317(f317(f124(x96761),x96762),x96763)),f317(f317(f124(x96761),x96762),x96764))),f137(x96761,x96765)))+~P1(f317(f317(f319(f904(f899(x96761),f899(x96761))),f317(f317(f242(f899(x96761),f899(x96761)),x96763),x96764)),f137(x96761,x96765))) % 199.88/200.99 [9871]E(f317(f317(f141(x98711),f628(x98712,x98713,x98714,x98715,x98711)),f629(x98712,x98713,x98714,x98715,x98711)),x98715)+~P1(f317(f317(f319(f904(f899(x98711),f899(x98711))),f317(f317(f242(f899(x98711),f899(x98711)),x98715),f317(f317(f141(x98711),x98714),x98713))),f148(x98711,x98712))) % 199.88/200.99 [9892]E(f317(f317(f141(x98921),f630(x98922,x98923,x98924,x98925,x98921)),f631(x98922,x98923,x98924,x98925,x98921)),x98923)+~P1(f317(f317(f319(f904(f899(x98921),f899(x98921))),f317(f317(f242(f899(x98921),f899(x98921)),f317(f317(f141(x98921),x98925),x98924)),x98923)),f148(x98921,x98922))) % 199.88/200.99 [10036]~P1(f317(f317(f319(f904(f899(x100361),f899(x100361))),f317(f317(f242(f899(x100361),f899(x100361)),f317(f317(f141(x100361),x100365),x100362)),x100364)),f148(x100361,x100363)))+P1(f317(f317(f319(f904(f899(x100361),f899(x100361))),f317(f317(f242(f899(x100361),f899(x100361)),x100362),f631(x100363,x100364,x100362,x100365,x100361))),f148(x100361,x100363))) % 199.88/200.99 [10116]~P1(f317(f317(f319(f904(f899(x101161),f899(x101161))),f317(f317(f242(f899(x101161),f899(x101161)),x101165),f317(f317(f141(x101161),x101164),x101163))),f148(x101161,x101162)))+P1(f317(f317(f319(f904(f899(x101161),f899(x101161))),f317(f317(f242(f899(x101161),f899(x101161)),f629(x101162,x101163,x101164,x101165,x101161)),x101163)),f148(x101161,x101162))) % 199.88/200.99 [10308]P1(f317(f317(f319(f904(x103081,x103081)),f317(f317(f242(x103081,x103081),f317(x103082,f317(f317(f74(a898),x103083),x103084))),f317(x103082,x103083))),f297(x103081,x103085)))+~P1(f317(f317(f319(f904(x103081,x103081)),f317(f317(f242(x103081,x103081),f317(x103082,f317(a102,f584(x103084,x103083,x103085,x103082,x103081)))),f317(x103082,f584(x103084,x103083,x103085,x103082,x103081)))),f297(x103081,x103085))) % 199.88/200.99 [5301]E(x53011,x53012)+~E(f317(f317(f141(x53013),x53014),x53011),f317(f317(f141(x53013),x53015),x53012)) % 199.88/200.99 [5302]E(x53021,x53022)+~E(f317(f317(f141(x53023),x53021),x53024),f317(f317(f141(x53023),x53022),x53025)) % 199.88/200.99 [5344]P1(f317(x53441,x53442))+~E(f317(f126(x53443,x53441),x53444),f317(f317(f141(x53443),x53442),x53445)) % 199.88/200.99 [5345]P1(f317(x53451,x53452))+~E(f317(f317(f141(x53453),x53452),x53454),f317(f126(x53453,x53451),x53455)) % 199.88/200.99 [5506]~E(f317(f317(f128(x55061),x55063),x55062),f317(f317(f141(x55061),x55064),x55065))+E(f317(f317(f154(x55061),x55062),x55063),x55064) % 199.88/200.99 [5646]~P14(x56464,x56465,x56461)+E(f317(f317(x56461,x56462),f317(f317(x56461,x56462),x56463)),f317(f317(x56461,x56462),x56463)) % 199.88/200.99 [6207]~E(x62074,f2(a89))+E(f317(f317(f107(x62071,x62072,x62073),x62074),x62075),f317(f317(f242(f899(x62072),x62071),f103(x62072)),x62075)) % 199.88/200.99 [6282]~P108(x62822)+~E(f317(f317(f138(x62821,x62822,x62823),x62824),x62825),f103(x62821)) % 199.88/200.99 [6680]E(x66801,x66802)+~E(f317(f317(f124(x66803),x66804),f317(f317(f141(x66803),x66801),f103(x66803))),f317(f317(f124(x66803),x66805),f317(f317(f141(x66803),x66802),f103(x66803)))) % 199.88/200.99 [6681]E(x66811,x66812)+~E(f317(f317(f124(x66813),x66811),f317(f317(f141(x66813),x66814),f103(x66813))),f317(f317(f124(x66813),x66812),f317(f317(f141(x66813),x66815),f103(x66813)))) % 199.88/200.99 [7004]E(f317(f317(f299(x70041),f317(x70042,x70043)),f317(f300(x70044,x70041,x70042),x70045)),f317(f300(x70044,x70041,x70042),x70045))+~P1(f317(f317(f319(x70044),x70043),x70045)) % 199.88/200.99 [7012]~P1(f317(x70124,f317(x70123,x70125)))+P1(f317(f317(f301(x70121,x70122,x70123),x70124),x70125)) % 199.88/200.99 [7015]~P1(f317(f317(x70153,x70155),x70154))+P1(f317(f317(f233(x70151,x70152,x70153),x70154),x70155)) % 199.88/200.99 [7112]~E(f317(f300(x71121,x71122,x71123),x71124),x71125)+E(f317(f300(f905(x71121,a894),f905(x71122,a894),f300(x71121,x71122,x71123)),f317(f298(x71121),x71124)),f317(f298(x71122),x71125)) % 199.88/200.99 [7140]E(f317(f261(x71401,x71402,x71403,x71404),x71405),f317(x71404,x71405))+~P1(f317(f317(f319(x71401),x71405),x71403)) % 199.88/200.99 [7454]P24(x74541,x74542,x74543,x74544)+~P24(x74541,x74542,x74543,f317(f317(f299(x74541),x74545),x74544)) % 199.88/200.99 [7559]~P1(f317(f317(f319(x75594),x75593),x75595))+P1(f317(f317(f319(x75591),f317(x75592,x75593)),f317(f300(x75594,x75591,x75592),x75595))) % 199.88/200.99 [7580]~P108(x75802)+E(f140(x75801,x75802,x75803,f317(f126(x75801,x75804),x75805)),f317(f126(x75801,x75804),f140(x75801,x75802,x75803,x75805))) % 199.88/200.99 [7611]P1(f317(x76111,f317(x76112,x76113)))+~P1(f317(f317(f301(x76114,x76115,x76112),x76111),x76113)) % 199.88/200.99 [7614]P1(f317(f317(x76141,x76142),x76143))+~P1(f317(f317(f233(x76144,x76145,x76141),x76143),x76142)) % 199.88/200.99 [7680]~P1(f317(f317(f319(x76803),f317(x76804,x76802)),x76805))+P1(f317(f317(f319(x76801),x76802),f317(f301(x76801,x76803,x76804),x76805))) % 199.88/200.99 [8078]~P1(f317(f317(f319(x80785),x80783),f317(f301(x80785,x80781,x80782),x80784)))+P1(f317(f317(f319(x80781),f317(x80782,x80783)),x80784)) % 199.88/200.99 [8377]~P16(x83772,x83771,x83773)+E(f317(f132(x83771,x83772,f317(f7(x83772,x83771,x83771),x83773),x83774),f142(x83772,x83775)),f317(f317(f58(x83772,x83771,x83773),x83774),f317(f162(x83772),x83775))) % 199.88/200.99 [8399]E(f317(x83991,f871(x83992,x83991,x83993,x83994)),x83994)+~P1(f317(f317(f319(x83995),x83994),f317(f300(x83993,x83995,x83991),x83992))) % 199.88/200.99 [8702]~E(x87022,f317(f317(f141(x87021),x87024),x87025))+P1(f317(f317(f319(f904(f899(x87021),f899(x87021))),f317(f317(f242(f899(x87021),f899(x87021)),f103(x87021)),x87022)),f137(x87021,x87023))) % 199.88/200.99 [8748]E(f317(x87481,f317(f85(x87482,x87483,x87484,x87481),x87485)),x87485)+~P1(f317(f317(f319(x87483),x87485),f317(f300(x87482,x87483,x87481),x87484))) % 199.88/200.99 [8751]P24(x87511,x87512,f85(x87512,x87511,x87513,x87514),x87515)+~P1(f317(f317(f225(f905(x87511,a894)),x87515),f317(f300(x87512,x87511,x87514),x87513))) % 199.88/200.99 [8758]~P33(x87581,x87583,x87585,x87582,x87584)+E(f317(f179(f899(x87581)),x87582),f317(f179(f899(x87583)),x87584)) % 199.88/200.99 [8769]P1(f317(f317(f225(f905(x87691,a894)),f317(f317(f35(x87692,f905(x87691,a894)),x87693),x87694)),f317(x87694,x87695)))+~P1(f317(f317(f319(x87692),x87695),x87693)) % 199.88/200.99 [8823]~P56(x88231,x88232,x88233,x88235,x88234)+E(f317(f300(x88231,x88232,x88233),f232(f905(x88231,a894))),x88234) % 199.88/200.99 [9048]E(f317(f126(x90481,x90482),f719(x90483,x90484,x90485,x90482,x90481)),x90483)+~E(f317(f126(x90481,x90482),x90485),f317(f317(f141(x90481),x90484),x90483)) % 199.88/200.99 [9049]E(f317(f126(x90491,x90492),f720(x90493,x90492,x90494,x90495,x90491)),x90494)+~E(f317(f317(f141(x90491),x90495),x90494),f317(f126(x90491,x90492),x90493)) % 199.88/200.99 [9141]E(f317(f179(f899(x91411)),x91412),x91413)+~P1(f317(f317(f319(f904(f899(x91411),f899(x91411))),f317(f317(f242(f899(x91411),f899(x91411)),x91414),x91412)),f317(f133(x91411,x91415),x91413))) % 199.88/200.99 [9142]E(f317(f179(f899(x91421)),x91422),x91423)+~P1(f317(f317(f319(f904(f899(x91421),f899(x91421))),f317(f317(f242(f899(x91421),f899(x91421)),x91422),x91424)),f317(f133(x91421,x91425),x91423))) % 199.88/200.99 [9212]P1(f317(f317(f319(x92121),f871(x92122,x92123,x92121,x92124)),x92122))+~P1(f317(f317(f319(x92125),x92124),f317(f300(x92121,x92125,x92123),x92122))) % 199.88/200.99 [9373]E(f317(f300(x93731,x93732,x93733),f658(x93734,x93733,x93731,x93735,x93732)),x93735)+~P1(f317(f317(f225(f905(x93732,a894)),x93735),f317(f300(x93731,x93732,x93733),x93734))) % 199.88/200.99 [9693]P1(f317(f317(f319(f904(f899(x96931),f899(x96931))),f317(f317(f242(f899(x96931),f899(x96931)),f317(f317(f141(x96931),x96932),x96933)),f317(f317(f141(x96931),x96932),x96934))),f297(f899(x96931),f147(x96931,x96935))))+~P1(f317(f317(f319(f904(f899(x96931),f899(x96931))),f317(f317(f242(f899(x96931),f899(x96931)),x96933),x96934)),f297(f899(x96931),f147(x96931,x96935)))) % 199.88/200.99 [9724]~E(f317(x97243,f672(x97245,x97244,x97243,x97242,x97241)),f317(x97245,f672(x97245,x97244,x97243,x97242,x97241)))+E(f317(f317(f144(x97241,x97242),x97243),x97244),f317(f317(f144(x97241,x97242),x97245),x97244)) % 199.88/200.99 [9799]~E(f317(f126(x97991,x97995),x97994),f317(f317(f141(x97991),x97993),x97992))+E(f317(f317(f124(x97991),f723(x97992,x97993,x97994,x97995,x97991)),f317(f317(f141(x97991),x97993),f719(x97992,x97993,x97994,x97995,x97991))),x97994) % 199.88/200.99 [9800]~E(f317(f317(f141(x98001),x98005),x98004),f317(f126(x98001,x98003),x98002))+E(f317(f317(f124(x98001),f721(x98002,x98003,x98004,x98005,x98001)),f317(f317(f141(x98001),x98005),f720(x98002,x98003,x98004,x98005,x98001))),x98002) % 199.88/201.00 [9804]E(f317(f317(f144(x98041,x98042),x98043),x98044),f317(f317(f144(x98041,x98042),x98045),x98044))+P1(f317(f317(f319(x98041),f672(x98043,x98044,x98045,x98042,x98041)),f317(f162(x98041),x98044))) % 199.88/201.00 [9834]~P1(f317(f317(f319(x98345),x98344),f317(f275(x98341,x98345,x98343),x98342)))+P1(f317(f317(f319(x98341),f372(x98342,x98343,x98341,x98344,x98345)),x98342)) % 199.88/201.00 [9835]~P1(f317(f317(f319(x98355),x98354),f317(f275(x98351,x98355,x98353),x98352)))+P1(f317(f317(f319(x98351),f455(x98352,x98353,x98351,x98354,x98355)),x98352)) % 199.88/201.00 [9865]~P1(f317(f317(f225(f905(x98655,a894)),x98654),f317(f300(x98651,x98655,x98653),x98652)))+P1(f317(f317(f225(f905(x98651,a894)),f658(x98652,x98653,x98651,x98654,x98655)),x98652)) % 199.88/201.00 [10309]E(x103091,f2(a89))+E(f213(f904(f899(x103092),x103093),f904(x103092,x103093),f317(f317(f242(f899(x103092),x103093),f103(x103092)),x103094),f317(f247(x103092,x103093,f904(f899(x103092),x103093)),f317(f317(f7(x103092,f905(x103093,f904(f899(x103092),x103093)),f905(x103093,f904(f899(x103092),x103093))),f317(f317(f8(f905(f904(f899(x103092),x103093),f904(f899(x103092),x103093)),f905(f905(x103093,f904(f899(x103092),x103093)),f905(x103093,f904(f899(x103092),x103093))),x103092),f8(f904(f899(x103092),x103093),f904(f899(x103092),x103093),x103093)),f317(f317(f8(f905(f899(x103092),f905(x103093,f904(f899(x103092),x103093))),f905(f904(f899(x103092),x103093),f904(f899(x103092),x103093)),x103092),f247(f899(x103092),x103093,f904(f899(x103092),x103093))),f317(f317(f8(f905(f899(x103092),f899(x103092)),f905(f899(x103092),f905(x103093,f904(f899(x103092),x103093))),x103092),f317(f8(f899(x103092),f905(x103093,f904(f899(x103092),x103093)),f899(x103092)),f242(f899(x103092),x103093))),f141(x103092))))),f317(f107(x103093,x103092,x103095),f317(f317(f23(a89),x103091),f72(a89))))),f317(x103095,x103094)),f317(f317(f107(x103093,x103092,x103095),x103091),x103094)) % 199.88/201.00 [6085]E(x60851,x60852)+~E(f317(f246(x60853,x60854),f317(f317(f242(x60853,x60854),x60855),x60851)),x60852) % 199.88/201.00 [6086]E(x60861,x60862)+~E(f317(f241(x60863,x60864),f317(f317(f242(x60863,x60864),x60861),x60865)),x60862) % 199.88/201.00 [6358]~E(x63583,f317(f317(f124(x63581),x63584),f317(f317(f141(x63581),x63582),x63585)))+P1(f317(f317(f319(x63581),x63582),f317(f162(x63581),x63583))) % 199.88/201.00 [6767]E(f317(f300(x67671,x67672,f317(f16(x67672,x67671),x67673)),x67674),f317(f317(f299(x67672),x67673),f178(f905(x67672,a894))))+~P1(f317(f317(f319(x67671),x67675),x67674)) % 199.88/201.00 [6841]E(f317(f317(f91(f905(x68411,a894)),f317(f162(x68411),x68412)),f317(f162(x68411),x68413)),f317(f162(x68411),x68414))+~E(f156(x68411,x68415,x68414),f317(f317(f242(f899(x68411),f899(x68411)),x68412),x68413)) % 199.88/201.00 [6942]~P108(x69422)+E(f317(f179(f899(x69421)),f317(f317(f138(x69421,x69422,x69423),x69424),x69425)),f317(a102,f317(f179(f899(x69421)),x69425))) % 199.88/201.00 [6956]~P108(x69562)+E(f317(f162(x69561),f317(f317(f138(x69561,x69562,x69563),x69564),x69565)),f317(f317(f299(x69561),x69564),f317(f162(x69561),x69565))) % 199.88/201.00 [7234]~P112(x72341)+E(f317(f317(f74(x72341),f317(f317(f74(x72341),x72342),x72343)),f317(f317(f74(x72341),x72344),x72345)),f317(f317(f74(x72341),f317(f317(f74(x72341),x72342),x72344)),f317(f317(f74(x72341),x72343),x72345))) % 199.88/201.00 [7235]~P112(x72351)+E(f317(f317(f75(x72351),f317(f317(f75(x72351),x72352),x72353)),f317(f317(f75(x72351),x72354),x72355)),f317(f317(f75(x72351),f317(f317(f75(x72351),x72352),x72354)),f317(f317(f75(x72351),x72353),x72355))) % 199.88/201.00 [7236]~P61(x72361)+E(f317(f317(f281(x72361),f317(f317(f75(x72361),x72362),x72363)),f317(f317(f75(x72361),x72364),x72365)),f317(f317(f75(x72361),f317(f317(f281(x72361),x72362),x72364)),f317(f317(f281(x72361),x72363),x72365))) % 199.88/201.00 [7250]~P108(x72501)+E(f296(x72501,f317(f317(f224(x72501),x72502),x72503),f317(f317(f229(x72501),x72504),x72505)),f317(f317(f92(f905(x72501,a894)),f296(x72501,x72502,x72504)),f296(x72501,x72503,x72505))) % 199.88/201.00 [7251]~P108(x72511)+E(f295(x72511,f317(f317(f224(x72511),x72512),x72513),f317(f317(f229(x72511),x72514),x72515)),f317(f317(f92(f905(x72511,a894)),f295(x72511,x72512,x72514)),f295(x72511,x72513,x72515))) % 199.88/201.00 [7252]~P108(x72521)+E(f293(x72521,f317(f317(f224(x72521),x72522),x72523),f317(f317(f229(x72521),x72524),x72525)),f317(f317(f92(f905(x72521,a894)),f293(x72521,x72522,x72524)),f293(x72521,x72523,x72525))) % 199.88/201.00 [7253]~P108(x72531)+E(f317(f317(f92(f905(x72531,a894)),f317(f292(x72531,x72532),x72533)),f317(f292(x72531,x72534),x72535)),f317(f292(x72531,f317(f317(f224(x72531),x72532),x72534)),f317(f317(f229(x72531),x72533),x72535))) % 199.88/201.00 [7373]~P1(f317(x73731,f879(x73733,x73732,x73731)))+P1(f317(x73731,f317(f317(f242(x73732,x73733),x73734),x73735))) % 199.88/201.00 [7485]~E(x74852,f317(x74854,x74855))+P1(f317(f317(f319(x74851),x74852),f317(f300(x74853,x74851,x74854),f232(f905(x74853,a894))))) % 199.88/201.00 [7557]~P14(x75573,x75572,x75574)+P14(x75571,x75572,f317(f317(f8(x75573,f905(x75572,x75572),x75571),x75574),x75575)) % 199.88/201.00 [7558]~P16(x75583,x75582,x75584)+P16(x75581,x75582,f317(f317(f8(x75583,f905(x75582,x75582),x75581),x75584),x75585)) % 199.88/201.00 [7697]~P24(x76971,x76972,x76973,x76974)+P24(x76971,x76972,x76973,f317(f317(f23(f905(x76971,a894)),x76974),x76975)) % 199.88/201.00 [7854]~P1(f317(f317(x78543,x78544),x78545))+P1(f317(f317(f247(x78541,x78542,a894),x78543),f317(f317(f242(x78541,x78542),x78544),x78545))) % 199.88/201.00 [7968]~P1(f317(x79682,x79684))+~E(f317(f317(f128(x79681),f317(f179(f899(x79681)),f167(x79681,x79682,x79683))),x79683),f317(f317(f141(x79681),x79684),x79685)) % 199.88/201.00 [7988]P24(x79881,x79882,x79883,x79884)+~P24(x79881,x79882,x79883,f317(f317(f91(f905(x79881,a894)),x79885),x79884)) % 199.88/201.00 [7989]P24(x79891,x79892,x79893,x79894)+~P24(x79891,x79892,x79893,f317(f317(f91(f905(x79891,a894)),x79894),x79895)) % 199.88/201.00 [8036]~P108(x80362)+E(f317(f317(f138(x80361,x80362,x80363),x80364),f140(x80361,x80362,x80363,x80365)),f140(x80361,x80362,x80363,f317(f317(f141(x80361),x80364),x80365))) % 199.88/201.00 [8354]~P14(x83542,x83541,x83543)+E(f317(f132(x83541,x83542,f317(f7(x83542,x83541,x83541),x83543),x83544),x83545),f317(f317(f58(x83542,x83541,x83543),x83544),f317(f162(x83542),x83545))) % 199.88/201.00 [8382]~E(f317(f317(f128(x83821),f317(f179(f899(x83821)),f167(x83821,x83822,x83823))),x83823),f317(f317(f141(x83821),x83824),x83825))+E(f317(f317(f124(x83821),f167(x83821,x83822,x83823)),f317(f317(f141(x83821),x83824),x83825)),x83823) % 199.88/201.00 [8409]P1(f317(f317(x84091,x84092),x84093))+~P1(f317(f317(f247(x84094,x84095,a894),x84091),f317(f317(f242(x84094,x84095),x84092),x84093))) % 199.88/201.00 [8886]P1(f317(f317(f225(f905(x88861,a894)),f317(f300(x88862,x88861,x88863),x88864)),f317(f300(x88862,x88861,x88863),x88865)))+~P1(f317(f317(f225(f905(x88862,a894)),x88864),x88865)) % 199.88/201.00 [8887]P1(f317(f317(f225(f905(x88871,a894)),f317(f301(x88871,x88872,x88873),x88874)),f317(f301(x88871,x88872,x88873),x88875)))+~P1(f317(f317(f225(f905(x88872,a894)),x88874),x88875)) % 199.88/201.00 [8966]E(x89661,f2(a89))+E(f317(f317(f249(x89662,x89663,x89662,f904(x89663,x89662)),f317(x89664,x89665)),f263(x89663,x89662,f317(f317(f23(a89),x89661),f72(a89)),x89664)),f317(f263(x89663,x89662,x89661,x89664),x89665)) % 199.88/201.00 [9073]P1(f317(f317(f245(x90731,x90732,a894,x90733),x90734),x90735))+~P1(f317(x90733,f317(f317(f242(x90731,x90732),x90734),x90735))) % 199.88/201.00 [9351]~P1(f317(f317(f245(x93512,x93513,a894,x93511),x93514),x93515))+P1(f317(x93511,f317(f317(f242(x93512,x93513),x93514),x93515))) % 199.88/201.00 [9536]~P1(f317(f317(f319(x95362),x95365),f317(f300(x95361,x95362,x95364),x95363)))+P1(f317(f317(f319(x95361),f317(f85(x95361,x95362,x95363,x95364),x95365)),x95363)) % 199.88/201.00 [9635]~P1(f317(f28(x96353),f317(f300(x96352,x96353,x96355),f232(f905(x96352,a894)))))+P1(f317(f28(x96351),f317(f300(x96352,x96351,f317(f317(f8(x96353,x96351,x96352),x96354),x96355)),f232(f905(x96352,a894))))) % 199.88/201.00 [9660]P1(f317(f317(f225(f905(f905(x96601,a894),a894)),f317(f300(f905(x96602,a894),f905(x96601,a894),f300(x96602,x96601,x96603)),f317(f298(x96602),x96604))),f317(f298(x96601),x96605)))+~P1(f317(f317(f225(f905(x96601,a894)),f317(f300(x96602,x96601,x96603),x96604)),x96605)) % 199.88/201.00 [9732]E(x97321,x97322)+~P1(f317(f60(x97323,x97324,x97325,x97321,f178(f905(x97323,a894))),x97322)) % 199.88/201.00 [9748]E(f317(f317(f242(x97481,x97482),f509(x97483,x97484,x97485,x97482,x97481)),f510(x97483,x97484,x97485,x97482,x97481)),x97485)+~P1(f317(f317(f319(f904(x97481,x97482)),x97485),f317(f317(f244(x97481,x97482),x97484),x97483))) % 199.88/201.00 [9840]P1(f317(f317(f319(x98401),f509(x98402,x98403,x98404,x98405,x98401)),x98403))+~P1(f317(f317(f319(f904(x98401,x98405)),x98404),f317(f317(f244(x98401,x98405),x98403),x98402))) % 199.88/201.00 [9995]P1(f317(f317(f319(x99951),f510(x99952,x99953,x99954,x99951,x99955)),f317(x99952,f509(x99952,x99953,x99954,x99951,x99955))))+~P1(f317(f317(f319(f904(x99955,x99951)),x99954),f317(f317(f244(x99955,x99951),x99953),x99952))) % 199.88/201.00 [10015]P1(f317(f317(f319(f904(x100151,x100151)),f317(f317(f242(x100151,x100151),x100152),f607(x100153,x100154,x100155,x100152,x100151))),x100153))+~P1(f317(f317(f319(f904(x100151,x100151)),f317(f317(f242(x100151,x100151),x100152),x100155)),f317(f317(f173(f904(x100151,x100151),a894),f317(a102,x100154)),x100153))) % 199.88/201.00 [10016]P1(f317(f317(f319(f904(x100161,x100161)),f317(f317(f242(x100161,x100161),x100162),f609(x100163,x100164,x100165,x100162,x100161))),x100163))+~P1(f317(f317(f319(f904(x100161,x100161)),f317(f317(f242(x100161,x100161),x100162),x100165)),f317(f317(f173(f904(x100161,x100161),a894),f317(a102,x100164)),x100163))) % 199.88/201.00 [10033]~P1(f317(f317(f319(f904(f899(x100331),f899(x100331))),f317(f317(f242(f899(x100331),f899(x100331)),f317(f317(f141(x100331),x100332),x100335)),x100334)),f148(x100331,x100333)))+P1(f317(f317(f319(f904(x100331,x100331)),f317(f317(f242(x100331,x100331),x100332),f630(x100333,x100334,x100335,x100332,x100331))),x100333)) % 199.88/201.00 [6438]P1(f317(x64382,x64384))+E(f167(x64381,x64382,f317(f317(f124(x64381),x64383),f317(f317(f141(x64381),x64384),x64385))),f167(x64381,x64382,x64383)) % 199.88/201.00 [6487]~P70(x64872)+E(f317(f317(f317(f23(f905(x64871,x64872)),x64873),x64874),x64875),f317(f317(f23(x64872),f317(x64873,x64875)),f317(x64874,x64875))) % 199.88/201.00 [6489]~P98(x64892)+E(f317(f317(f317(f91(f905(x64891,x64892)),x64893),x64894),x64895),f317(f317(f91(x64892),f317(x64893,x64895)),f317(x64894,x64895))) % 199.88/201.00 [6491]~P98(x64912)+E(f317(f317(f317(f92(f905(x64911,x64912)),x64913),x64914),x64915),f317(f317(f92(x64912),f317(x64913,x64915)),f317(x64914,x64915))) % 199.88/201.00 [6511]E(x65111,x65112)+E(f317(f317(f154(x65113),f317(f317(f149(x65113,x65114),x65111),x65115)),x65112),f317(f317(f154(x65113),x65114),x65112)) % 199.88/201.00 [6785]~E(x67854,f178(f905(x67853,a894)))+E(f317(f317(f23(f905(x67851,a894)),x67852),f317(f317(f34(x67853,f905(x67851,a894)),x67854),x67855)),x67852) % 199.88/201.00 [6786]~E(x67864,f178(f905(x67863,a894)))+E(f317(f317(f91(f905(x67861,a894)),x67862),f317(f317(f34(x67863,f905(x67861,a894)),x67864),x67865)),x67862) % 199.88/201.00 [6787]~E(x67874,f178(f905(x67873,a894)))+E(f317(f317(f92(f905(x67871,a894)),x67872),f317(f317(f35(x67873,f905(x67871,a894)),x67874),x67875)),x67872) % 199.88/201.00 [6803]~E(x68034,f178(f905(x68033,a894)))+E(f317(f317(f299(x68031),x68032),f317(f317(f34(x68033,f905(x68031,a894)),x68034),x68035)),f317(f317(f299(x68031),x68032),f178(f905(x68031,a894)))) % 199.88/201.00 [7603]E(f317(f317(f154(x76031),f317(f317(f144(x76032,x76031),x76033),x76034)),x76035),f317(x76033,f317(f317(f154(x76032),x76034),x76035)))+~P1(f317(f317(f226(a898),x76035),f317(f179(f899(x76032)),x76034))) % 199.88/201.00 [7668]E(f317(f317(f91(f905(x76681,a894)),f317(x76682,x76683)),f317(f317(f34(x76684,f905(x76681,a894)),x76685),x76682)),f317(f317(f34(x76684,f905(x76681,a894)),x76685),x76682))+~P1(f317(f317(f319(x76684),x76683),x76685)) % 199.88/201.00 [7669]E(f317(f317(f92(f905(x76691,a894)),f317(x76692,x76693)),f317(f317(f35(x76694,f905(x76691,a894)),x76695),x76692)),f317(f317(f35(x76694,f905(x76691,a894)),x76695),x76692))+~P1(f317(f317(f319(x76694),x76693),x76695)) % 199.88/201.00 [8276]~E(x82763,f178(f905(x82761,a894)))+E(f317(f317(f34(x82761,f905(x82762,a894)),x82763),f317(f317(f8(f905(x82762,a894),f905(x82762,a894),x82761),f317(f299(x82762),x82764)),x82765)),f178(f905(x82762,a894))) % 199.88/201.00 [8281]~P1(f317(f317(f319(x82814),x82813),x82815))+P1(f317(f317(f225(f905(x82811,a894)),f317(x82812,x82813)),f317(f317(f34(x82814,f905(x82811,a894)),x82815),x82812))) % 199.88/201.00 [8408]~E(f317(x84084,x84082),x84085)+P1(f317(f317(f319(x84081),x84082),f317(f301(x84081,x84083,x84084),f317(f317(f299(x84083),x84085),f178(f905(x84083,a894)))))) % 199.88/201.00 [8455]~P54(x84551,x84552,f317(f276(x84552,x84551),x84553))+E(f317(f317(f92(f905(x84551,a894)),f317(f275(x84552,x84551,x84553),x84554)),f317(f275(x84552,x84551,x84553),x84555)),f317(f275(x84552,x84551,x84553),f317(f317(f92(f905(x84552,a894)),x84554),x84555))) % 199.88/201.00 [8531]E(x85311,f2(a89))+E(f317(f108(x85312,x85313,f317(x85314,f317(f317(f23(a89),x85311),f72(a89)))),f317(f317(f7(x85312,a89,f900(x85313)),x85315),x85311)),f317(f188(x85312,x85313,x85314,x85315),x85311)) % 199.88/201.00 [8569]E(x85691,f178(f905(x85692,a894)))+E(f317(f317(f34(x85692,f905(x85693,a894)),x85691),f317(f317(f8(f905(x85693,a894),f905(x85693,a894),x85692),f317(f299(x85693),x85694)),x85695)),f317(f317(f299(x85693),x85694),f317(f317(f34(x85692,f905(x85693,a894)),x85691),x85695))) % 199.88/201.00 [8620]~P24(x86202,x86201,x86203,f232(f905(x86202,a894)))+E(f317(f317(f23(f905(x86201,a894)),f317(f300(x86202,x86201,x86203),x86204)),f317(f300(x86202,x86201,x86203),x86205)),f317(f300(x86202,x86201,x86203),f317(f317(f23(f905(x86202,a894)),x86204),x86205))) % 199.88/201.00 [8621]~P24(x86212,x86211,x86213,f232(f905(x86212,a894)))+E(f317(f317(f92(f905(x86211,a894)),f317(f300(x86212,x86211,x86213),x86214)),f317(f300(x86212,x86211,x86213),x86215)),f317(f300(x86212,x86211,x86213),f317(f317(f92(f905(x86212,a894)),x86214),x86215))) % 199.88/201.00 [8689]~P1(f317(f317(f61(x86891,x86892,x86895),x86893),x86894))+P1(f317(f317(f319(f904(x86891,x86892)),f317(f317(f242(x86891,x86892),x86893),x86894)),x86895)) % 199.88/201.00 [8721]P1(f317(f317(f319(x87211),x87212),f317(f274(x87213,x87211),x87214)))+~P1(f317(f317(f319(f904(x87213,x87211)),f317(f317(f242(x87213,x87211),x87215),x87212)),x87214)) % 199.88/201.00 [8723]P1(f317(f317(f319(x87231),x87232),f317(f254(x87231,x87233),x87234)))+~P1(f317(f317(f319(f904(x87231,x87233)),f317(f317(f242(x87231,x87233),x87232),x87235)),x87234)) % 199.88/201.00 [8870]P1(f317(f317(f61(x88701,x88702,x88703),x88704),x88705))+~P1(f317(f317(f319(f904(x88701,x88702)),f317(f317(f242(x88701,x88702),x88704),x88705)),x88703)) % 199.88/201.00 [8909]E(f317(x89091,x89092),x89093)+~P1(f317(f317(f319(x89094),x89092),f317(f301(x89094,x89095,x89091),f317(f317(f299(x89095),x89093),f178(f905(x89095,a894)))))) % 199.88/201.00 [9138]P1(f317(f317(f319(f904(x91381,x91382)),f317(f317(f242(x91381,x91382),x91383),x91384)),f317(f276(x91382,x91381),x91385)))+~P1(f317(f317(f319(f904(x91382,x91381)),f317(f317(f242(x91382,x91381),x91384),x91383)),x91385)) % 199.88/201.00 [9156]~P1(f317(f317(x91561,x91565),x91564))+P1(f317(f317(x91561,f317(f246(x91562,x91563),f317(f317(f242(x91562,x91563),x91564),x91565))),f317(f241(x91562,x91563),f317(f317(f242(x91562,x91563),x91564),x91565)))) % 199.88/201.00 [9187]~P1(f317(f317(f319(f904(x91872,x91871)),f317(f317(f242(x91872,x91871),x91874),x91873)),f317(f276(x91871,x91872),x91875)))+P1(f317(f317(f319(f904(x91871,x91872)),f317(f317(f242(x91871,x91872),x91873),x91874)),x91875)) % 199.88/201.00 [9219]~P1(f317(f317(f319(f904(x92193,x92191)),f317(f317(f242(x92193,x92191),x92195),x92192)),x92194))+P1(f317(f317(f319(x92191),x92192),f317(f275(x92193,x92191,x92194),f317(f317(f299(x92193),x92195),f178(f905(x92193,a894)))))) % 199.88/201.00 [9266]P1(f317(f317(f319(f904(x92661,x92662)),f317(f317(f242(x92661,x92662),x92663),x92664)),x92665))+~P1(f317(f317(f319(x92662),x92664),f317(f275(x92661,x92662,x92665),f317(f317(f299(x92661),x92663),f178(f905(x92661,a894)))))) % 199.88/201.00 [9358]~P77(x93581)+E(f317(f317(f6(a898,x93581),x93582),f293(a898,f317(f317(f74(a898),x93583),x93584),f317(f317(f74(a898),x93585),x93584))),f317(f317(f6(a898,x93581),f317(f317(f8(a898,x93581,a898),x93582),f317(f317(f7(a898,a898,a898),f74(a898)),x93584))),f293(a898,x93583,x93585))) % 199.88/201.00 [9378]~P77(x93781)+E(f317(f317(f6(a898,x93781),x93782),f317(f292(a898,f317(f317(f74(a898),x93783),x93784)),f317(f317(f74(a898),x93785),x93784))),f317(f317(f6(a898,x93781),f317(f317(f8(a898,x93781,a898),x93782),f317(f317(f7(a898,a898,a898),f74(a898)),x93784))),f317(f292(a898,x93783),x93785))) % 199.88/201.00 [9436]~P24(x94361,x94362,x94363,f232(f905(x94361,a894)))+E(f317(f317(f144(x94361,x94362),x94363),f317(f126(x94361,f317(f317(f8(a894,a894,x94361),a312),f317(a314,x94364))),x94365)),f317(f126(x94362,f317(f317(f8(a894,a894,x94362),a312),f317(a314,f317(x94363,x94364)))),f317(f317(f144(x94361,x94362),x94363),x94365))) % 199.88/201.00 [9454]~P24(x94541,x94542,x94543,f317(f317(f299(x94541),x94544),f317(f162(x94541),x94545)))+E(f317(f317(f144(x94541,x94542),x94543),f317(f126(x94541,f317(f317(f8(a894,a894,x94541),a312),f317(a314,x94544))),x94545)),f317(f126(x94542,f317(f317(f8(a894,a894,x94542),a312),f317(a314,f317(x94543,x94544)))),f317(f317(f144(x94541,x94542),x94543),x94545))) % 199.88/201.00 [9623]P1(f317(f317(f319(f904(f899(x96231),f899(x96231))),f317(f317(f242(f899(x96231),f899(x96231)),f317(f317(f141(x96231),x96232),x96233)),f317(f317(f141(x96231),x96234),x96233))),f147(x96231,x96235)))+~P1(f317(f317(f319(f904(x96231,x96231)),f317(f317(f242(x96231,x96231),x96232),x96234)),x96235)) % 199.88/201.00 [9743]E(f317(f317(f299(x97431),f642(x97432,x97433,x97434,x97435,x97431)),f659(x97432,x97433,x97434,x97435,x97431)),f317(f317(f299(x97431),x97434),x97433))+~P1(f317(f56(x97431,x97435,f317(f317(f299(x97431),x97434),x97433)),x97432)) % 199.88/201.00 [9744]E(f317(f317(f299(x97441),f670(x97442,x97443,x97444,x97445,x97441)),f680(x97442,x97443,x97444,x97445,x97441)),f317(f317(f299(x97441),x97444),x97443))+~P1(f317(f56(x97441,x97445,f317(f317(f299(x97441),x97444),x97443)),x97442)) % 199.88/201.00 [9825]P1(f317(f317(f319(x98251),f469(x98252,x98253,x98254,x98255,x98251)),x98254))+P1(f317(f317(f317(f35(x98251,f905(x98255,a894)),x98254),x98253),x98252)) % 199.88/201.00 [9830]P1(f317(f317(f319(x98301),f468(x98302,x98303,x98301,x98304,x98305)),x98303))+P1(f317(f317(f319(x98305),x98304),f317(f317(f35(x98301,f905(x98305,a894)),x98303),x98302))) % 199.88/201.00 [9838]P1(f317(f317(f319(x98381),f466(x98382,x98383,x98381,x98384,x98385)),x98383))+P1(f317(f317(f225(f905(x98385,a894)),x98384),f317(f317(f35(x98381,f905(x98385,a894)),x98383),x98382))) % 199.88/201.00 [9839]P1(f317(f317(f319(x98391),f810(x98392,x98393,x98394,x98395,x98391)),x98395))+P1(f317(f317(f225(f905(x98394,a894)),x98393),f317(f317(f35(x98391,f905(x98394,a894)),x98395),x98392))) % 199.88/201.00 [9841]P1(f317(f317(x98411,f362(x98412,x98411,x98413,x98414,x98415)),x98412))+~P1(f317(f317(f317(f34(x98415,f905(x98414,a894)),x98413),x98411),x98412)) % 199.88/201.00 [9845]P1(f317(f317(f319(x98451),f362(x98452,x98453,x98454,x98455,x98451)),x98454))+~P1(f317(f317(f317(f34(x98451,f905(x98455,a894)),x98454),x98453),x98452)) % 199.88/201.00 [9846]P52(x98464,f317(f317(f35(x98461,f905(x98464,a894)),x98465),x98463),f317(f317(f35(x98461,f905(f904(x98464,x98464),a894)),x98465),x98462))+P1(f317(f317(f319(x98461),f752(x98462,x98463,x98464,x98465,x98461)),x98465)) % 199.88/201.00 [9847]P52(x98474,f317(f317(f34(x98471,f905(x98474,a894)),x98475),x98473),f317(f317(f34(x98471,f905(f904(x98474,x98474),a894)),x98475),x98472))+P1(f317(f317(f319(x98471),f806(x98472,x98473,x98474,x98475,x98471)),x98475)) % 199.88/201.00 [9857]P1(f317(f317(f319(x98571),f364(x98572,x98573,x98571,x98574,x98575)),x98573))+~P1(f317(f317(f319(x98575),x98574),f317(f317(f34(x98571,f905(x98575,a894)),x98573),x98572))) % 199.88/201.00 [9863]P1(f317(f317(f319(x98631),x98632),f317(x98633,f364(x98633,x98634,x98635,x98632,x98631))))+~P1(f317(f317(f319(x98631),x98632),f317(f317(f34(x98635,f905(x98631,a894)),x98634),x98633))) % 199.88/201.00 [9944]~P1(f317(f317(x99444,f469(x99445,x99444,x99443,x99442,x99441)),x99445))+P1(f317(f317(f317(f35(x99441,f905(x99442,a894)),x99443),x99444),x99445)) % 199.88/201.00 [9947]~P1(f317(f317(f319(x99471),x99472),f317(x99475,f468(x99475,x99474,x99473,x99472,x99471))))+P1(f317(f317(f319(x99471),x99472),f317(f317(f35(x99473,f905(x99471,a894)),x99474),x99475))) % 199.88/201.00 [9951]~P52(x99511,f317(x99514,f806(x99515,x99514,x99511,x99513,x99512)),f317(x99515,f806(x99515,x99514,x99511,x99513,x99512)))+P52(x99511,f317(f317(f34(x99512,f905(x99511,a894)),x99513),x99514),f317(f317(f34(x99512,f905(f904(x99511,x99511),a894)),x99513),x99515)) % 199.88/201.00 [9952]~P52(x99521,f317(x99524,f752(x99525,x99524,x99521,x99523,x99522)),f317(x99525,f752(x99525,x99524,x99521,x99523,x99522)))+P52(x99521,f317(f317(f35(x99522,f905(x99521,a894)),x99523),x99524),f317(f317(f35(x99522,f905(f904(x99521,x99521),a894)),x99523),x99525)) % 199.88/201.00 [9953]~P1(f317(f317(f225(f905(x99531,a894)),x99532),f317(x99535,f466(x99535,x99534,x99533,x99532,x99531))))+P1(f317(f317(f225(f905(x99531,a894)),x99532),f317(f317(f35(x99533,f905(x99531,a894)),x99534),x99535))) % 199.88/201.00 [9954]~P1(f317(f317(f225(f905(x99541,a894)),x99542),f317(x99545,f810(x99545,x99542,x99541,x99544,x99543))))+P1(f317(f317(f225(f905(x99541,a894)),x99542),f317(f317(f35(x99543,f905(x99541,a894)),x99544),x99545))) % 199.88/201.00 [10019]~P1(f317(f317(f319(x100191),f642(x100195,x100194,x100193,x100192,x100191)),f659(x100195,x100194,x100193,x100192,x100191)))+~P1(f317(f56(x100191,x100192,f317(f317(f299(x100191),x100193),x100194)),x100195)) % 199.88/201.00 [10020]~P1(f317(f317(f319(x100201),f670(x100205,x100204,x100203,x100202,x100201)),f680(x100205,x100204,x100203,x100202,x100201)))+~P1(f317(f56(x100201,x100202,f317(f317(f299(x100201),x100203),x100204)),x100205)) % 199.88/201.00 [10021]~P1(f317(f317(f319(f904(x100211,x100211)),f317(f317(f242(x100211,x100211),x100212),x100215)),f317(f317(f173(f904(x100211,x100211),a894),f317(a102,x100214)),x100213)))+P1(f317(f317(f319(f904(x100211,x100211)),f317(f317(f242(x100211,x100211),x100212),f608(x100213,x100214,x100215,x100212,x100211))),f317(f317(f173(f904(x100211,x100211),a894),x100214),x100213))) % 199.88/201.00 [10027]P1(f317(f60(x100271,x100271,x100272,f642(x100273,x100274,x100275,x100272,x100271),f659(x100273,x100274,x100275,x100272,x100271)),x100273))+~P1(f317(f56(x100271,x100272,f317(f317(f299(x100271),x100275),x100274)),x100273)) % 199.88/201.00 [10028]P1(f317(f60(x100281,x100281,x100282,f670(x100283,x100284,x100285,x100282,x100281),f680(x100283,x100284,x100285,x100282,x100281)),x100283))+~P1(f317(f56(x100281,x100282,f317(f317(f299(x100281),x100285),x100284)),x100283)) % 199.88/201.00 [10038]~P108(x100381)+P13(x100381,f317(f317(f144(x100382,x100381),x100383),f317(f126(x100382,f317(f317(f7(x100382,x100381,a894),f317(f317(f8(x100381,f905(x100381,a894),x100382),a314),x100383)),f317(x100384,x100385))),x100385))) % 199.88/201.00 [10088]~P1(f317(f317(f319(x100882),x100885),f317(f275(x100881,x100882,x100884),x100883)))+P1(f317(f317(f319(f904(x100881,x100882)),f317(f317(f242(x100881,x100882),f372(x100883,x100884,x100881,x100885,x100882)),x100885)),x100884)) % 199.88/201.00 [10089]~P1(f317(f317(f319(x100892),x100895),f317(f275(x100891,x100892,x100894),x100893)))+P1(f317(f317(f319(f904(x100891,x100892)),f317(f317(f242(x100891,x100892),f455(x100893,x100894,x100891,x100895,x100892)),x100895)),x100894)) % 199.88/201.00 [10109]~P1(f317(f317(f319(f904(x101091,x101091)),f317(f317(f242(x101091,x101091),x101095),x101094)),f317(f317(f173(f904(x101091,x101091),a894),f317(a102,x101093)),x101092)))+P1(f317(f317(f319(f904(x101091,x101091)),f317(f317(f242(x101091,x101091),f608(x101092,x101093,x101094,x101095,x101091)),x101094)),x101092)) % 199.88/201.00 [10112]~P1(f317(f317(f319(f904(x101121,x101121)),f317(f317(f242(x101121,x101121),x101125),x101124)),f317(f317(f173(f904(x101121,x101121),a894),f317(a102,x101123)),x101122)))+P1(f317(f317(f319(f904(x101121,x101121)),f317(f317(f242(x101121,x101121),f607(x101122,x101123,x101124,x101125,x101121)),x101124)),f317(f317(f173(f904(x101121,x101121),a894),x101123),x101122))) % 199.88/201.00 [10113]~P1(f317(f317(f319(f904(x101131,x101131)),f317(f317(f242(x101131,x101131),x101135),x101134)),f317(f317(f173(f904(x101131,x101131),a894),f317(a102,x101133)),x101132)))+P1(f317(f317(f319(f904(x101131,x101131)),f317(f317(f242(x101131,x101131),f609(x101132,x101133,x101134,x101135,x101131)),x101134)),f317(f317(f173(f904(x101131,x101131),a894),x101133),x101132))) % 199.88/201.00 [10114]~P1(f317(f317(f319(f904(f899(x101141),f899(x101141))),f317(f317(f242(f899(x101141),f899(x101141)),x101145),f317(f317(f141(x101141),x101144),x101143))),f148(x101141,x101142)))+P1(f317(f317(f319(f904(x101141,x101141)),f317(f317(f242(x101141,x101141),f628(x101142,x101143,x101144,x101145,x101141)),x101144)),x101142)) % 199.88/201.00 [7689]~E(x76893,f178(f905(x76892,a894)))+E(f317(f317(f91(f905(x76891,a894)),f317(f317(f34(x76892,f905(x76891,a894)),x76893),x76894)),x76895),x76895) % 199.88/201.00 [7690]~E(x76903,f178(f905(x76902,a894)))+E(f317(f317(f92(f905(x76901,a894)),f317(f317(f35(x76902,f905(x76901,a894)),x76903),x76904)),x76905),x76905) % 199.88/201.00 [8117]~E(x81173,f178(f905(x81172,a894)))+E(f317(f317(f23(f905(x81171,a894)),f317(f317(f35(x81172,f905(x81171,a894)),x81173),x81174)),x81175),f317(f317(f23(f905(x81171,a894)),f232(f905(x81171,a894))),x81175)) % 199.88/201.00 [8250]E(f317(f317(f149(x82501,f317(f317(f124(x82501),x82502),x82503)),x82504),x82505),f317(f317(f124(x82501),f317(f317(f149(x82501,x82502),x82504),x82505)),x82503))+~P1(f317(f317(f226(a898),x82504),f317(f179(f899(x82501)),x82502))) % 199.88/201.00 [8521]E(f317(f317(f154(x85211),f317(f317(f144(a898,x85211),x85212),f129(a898,f317(f292(a898,x85213),x85214)))),x85215),f317(x85212,f317(f317(f74(a898),x85213),x85215)))+~P1(f317(f317(f226(a898),x85215),f317(f317(f23(a898),x85214),x85213))) % 199.88/201.00 [8535]E(x85351,f2(a89))+E(f112(x85352,x85353,f317(x85354,f317(f317(f23(a89),x85351),f72(a89))),f317(f317(f7(x85352,a89,f900(f901(x85353))),x85355),x85351)),f317(f186(x85352,x85353,x85354,x85355),x85351)) % 199.88/201.00 [8559]~E(x85593,f178(f905(x85591,a894)))+E(f317(f317(f34(x85591,f905(x85592,a894)),x85593),f317(f317(f8(f905(x85592,a894),f905(x85592,a894),x85591),f317(f91(f905(x85592,a894)),x85594)),x85595)),f178(f905(x85592,a894))) % 199.88/201.00 [8560]~E(x85603,f178(f905(x85601,a894)))+E(f317(f317(f35(x85601,f905(x85602,a894)),x85603),f317(f317(f8(f905(x85602,a894),f905(x85602,a894),x85601),f317(f23(f905(x85602,a894)),x85604)),x85605)),f232(f905(x85602,a894))) % 199.88/201.00 [8561]~E(x85613,f178(f905(x85611,a894)))+E(f317(f317(f35(x85611,f905(x85612,a894)),x85613),f317(f317(f8(f905(x85612,a894),f905(x85612,a894),x85611),f317(f92(f905(x85612,a894)),x85614)),x85615)),f232(f905(x85612,a894))) % 199.88/201.00 [8563]~P145(x85632)+E(f317(f317(f6(x85631,x85632),f317(f317(f8(x85632,x85632,x85631),f317(f75(x85632),x85633)),x85634)),x85635),f317(f317(f75(x85632),x85633),f317(f317(f6(x85631,x85632),x85634),x85635))) % 199.88/201.00 [8854]E(x88541,f178(f905(x88542,a894)))+E(f317(f317(f34(x88542,f905(x88543,a894)),x88541),f317(f317(f8(f905(x88543,a894),f905(x88543,a894),x88542),f317(f91(f905(x88543,a894)),x88544)),x88545)),f317(f317(f91(f905(x88543,a894)),x88544),f317(f317(f34(x88542,f905(x88543,a894)),x88541),x88545))) % 199.88/201.00 [8855]E(x88551,f178(f905(x88552,a894)))+E(f317(f317(f35(x88552,f905(x88553,a894)),x88551),f317(f317(f8(f905(x88553,a894),f905(x88553,a894),x88552),f317(f23(f905(x88553,a894)),x88554)),x88555)),f317(f317(f23(f905(x88553,a894)),x88554),f317(f317(f34(x88552,f905(x88553,a894)),x88551),x88555))) % 199.88/201.00 [8856]E(x88561,f178(f905(x88562,a894)))+E(f317(f317(f35(x88562,f905(x88563,a894)),x88561),f317(f317(f8(f905(x88563,a894),f905(x88563,a894),x88562),f317(f92(f905(x88563,a894)),x88564)),x88565)),f317(f317(f92(f905(x88563,a894)),x88564),f317(f317(f35(x88562,f905(x88563,a894)),x88561),x88565))) % 199.88/201.00 [9055]~P1(f317(f317(f226(a898),f317(x90554,x90552)),f317(x90554,x90553)))+P1(f317(f317(f319(f904(x90551,x90551)),f317(f317(f242(x90551,x90551),x90552),x90553)),f143(x90551,f317(f317(f141(f905(x90551,a898)),x90554),x90555)))) % 199.88/201.00 [9322]~P24(x93222,x93221,x93223,f317(f317(f91(f905(x93222,a894)),x93224),x93225))+E(f317(f317(f92(f905(x93221,a894)),f317(f300(x93222,x93221,x93223),f317(f317(f23(f905(x93222,a894)),x93224),x93225))),f317(f300(x93222,x93221,x93223),f317(f317(f23(f905(x93222,a894)),x93225),x93224))),f178(f905(x93221,a894))) % 199.88/201.00 [9585]~P24(x95853,x95851,x95855,f232(f905(x95853,a894)))+E(f317(f67(x95851,x95852,x95853,f317(f67(x95853,x95852,x95851,x95854),f85(x95853,x95851,f232(f905(x95853,a894)),x95855))),x95855),x95854) % 199.88/201.00 [9619]~P1(f317(f317(f225(f905(x96193,a894)),f317(f275(x96191,x96193,x96194),x96192)),x96195))+P1(f317(f317(f225(f905(x96191,a894)),x96192),f317(f73(f905(x96191,a894)),f317(f275(x96193,x96191,f317(f276(x96191,x96193),x96194)),f317(f73(f905(x96193,a894)),x96195))))) % 199.88/201.00 [9644]~P24(x96441,x96442,x96443,f317(f317(f299(x96441),x96444),x96445))+~P1(f317(f317(f319(x96442),f317(x96443,x96444)),f317(f300(x96441,x96442,x96443),f317(f317(f23(f905(x96441,a894)),x96445),f317(f317(f299(x96441),x96444),f178(f905(x96441,a894))))))) % 199.88/201.00 [9697]P1(f317(f317(f225(f905(x96971,a894)),f317(f275(x96972,x96971,x96973),x96974)),x96975))+~P1(f317(f317(f225(f905(x96972,a894)),x96974),f317(f73(f905(x96972,a894)),f317(f275(x96971,x96972,f317(f276(x96972,x96971),x96973)),f317(f73(f905(x96971,a894)),x96975))))) % 199.88/201.00 [9770]~P85(x97701)+P1(f317(f317(f225(x97701),f317(f70(x97701),f317(f317(f23(x97701),f317(f317(f74(x97701),x97702),x97703)),f317(f317(f74(x97701),x97704),x97705)))),f317(f317(f74(x97701),f317(f70(x97701),f317(f317(f23(x97701),x97702),x97704))),f317(f70(x97701),f317(f317(f23(x97701),x97703),x97705))))) % 199.88/201.00 [9878]P1(f317(f317(f319(x98781),f368(x98782,x98783,x98784,x98781,x98785)),x98784))+P1(f317(f317(f225(f905(x98785,a894)),f317(f317(f34(x98781,f905(x98785,a894)),x98784),x98783)),x98782)) % 199.88/201.00 [10056]~P1(f317(f317(f225(f905(x100561,a894)),f317(x100564,f368(x100565,x100564,x100563,x100562,x100561))),x100565))+P1(f317(f317(f225(f905(x100561,a894)),f317(f317(f34(x100562,f905(x100561,a894)),x100563),x100564)),x100565)) % 199.88/201.00 [8668]E(f317(f317(f124(x86681),x86682),f317(f317(f149(x86681,x86683),f317(f317(f23(a898),x86684),f317(f179(f899(x86681)),x86682))),x86685)),f317(f317(f149(x86681,f317(f317(f124(x86681),x86682),x86683)),x86684),x86685))+P1(f317(f317(f226(a898),x86684),f317(f179(f899(x86681)),x86682))) % 199.88/201.00 [8696]~P143(x86961)+E(f317(f317(f74(x86961),f317(f317(f75(x86961),x86962),x86963)),f317(f317(f74(x86961),f317(f317(f75(x86961),x86964),x86963)),x86965)),f317(f317(f74(x86961),f317(f317(f75(x86961),f317(f317(f74(x86961),x86962),x86964)),x86963)),x86965)) % 199.88/201.00 [9275]~P145(x92751)+E(f317(f155(x92751),f317(f317(f144(x92752,x92751),f317(f317(f8(x92751,x92751,x92752),f317(f75(x92751),x92753)),x92754)),x92755)),f317(f317(f75(x92751),x92753),f317(f155(x92751),f317(f317(f144(x92752,x92751),x92754),x92755)))) % 199.88/201.00 [9453]E(f317(f179(f899(x94531)),f317(f317(f165(x94531),f317(f317(f229(a898),f317(f179(f899(x94531)),x94532)),f317(f179(f899(x94533)),x94534))),x94532)),f317(f179(f899(x94533)),f317(f317(f165(x94533),f317(f317(f229(a898),f317(f179(f899(x94531)),x94532)),f317(f179(f899(x94533)),x94534))),x94534)))+P1(f317(x94535,f317(f317(f171(x94531,x94533),x94532),x94534))) % 199.88/201.00 [9707]~P145(x97072)+E(f317(f317(f6(x97071,x97072),f317(f317(f7(x97071,x97072,x97072),f317(f317(f8(x97072,f905(x97072,x97072),x97071),f75(x97072)),x97073)),x97074)),x97075),f317(f317(f75(x97072),f317(f317(f6(x97071,x97072),x97073),x97075)),x97074)) % 199.88/201.00 [9708]~P62(x97082)+E(f317(f317(f6(x97081,x97082),f317(f317(f7(x97081,x97082,x97082),f317(f317(f8(x97082,f905(x97082,x97082),x97081),f281(x97082)),x97083)),x97084)),x97085),f317(f317(f281(x97082),f317(f317(f6(x97081,x97082),x97083),x97085)),x97084)) % 199.88/201.00 [9715]~P78(x97152)+E(f317(f317(f9(x97151,x97152),f317(f317(f18(x97151,x97152,x97152),f317(f317(f8(x97152,f905(x97152,x97152),x97151),f75(x97152)),x97153)),x97154)),x97155),f317(f317(f75(x97152),f317(f317(f9(x97151,x97152),x97153),x97155)),f317(f317(f9(x97151,x97152),x97154),x97155))) % 199.88/201.00 [9716]~P68(x97162)+E(f317(f317(f6(x97161,x97162),f317(f317(f18(x97161,x97162,x97162),f317(f317(f8(x97162,f905(x97162,x97162),x97161),f23(x97162)),x97163)),x97164)),x97165),f317(f317(f23(x97162),f317(f317(f6(x97161,x97162),x97163),x97165)),f317(f317(f6(x97161,x97162),x97164),x97165))) % 199.88/201.00 [9717]~P77(x97172)+E(f317(f317(f6(x97171,x97172),f317(f317(f18(x97171,x97172,x97172),f317(f317(f8(x97172,f905(x97172,x97172),x97171),f74(x97172)),x97173)),x97174)),x97175),f317(f317(f74(x97172),f317(f317(f6(x97171,x97172),x97173),x97175)),f317(f317(f6(x97171,x97172),x97174),x97175))) % 199.88/201.00 [9755]~E(x97553,f178(f905(x97551,a894)))+E(f317(f317(f34(x97551,f905(x97552,a894)),x97553),f317(f317(f7(x97551,f905(x97552,a894),f905(x97552,a894)),f317(f317(f8(f905(x97552,a894),f905(f905(x97552,a894),f905(x97552,a894)),x97551),f91(f905(x97552,a894))),x97554)),x97555)),f178(f905(x97552,a894))) % 199.88/201.00 [9756]~E(x97563,f178(f905(x97561,a894)))+E(f317(f317(f35(x97561,f905(x97562,a894)),x97563),f317(f317(f7(x97561,f905(x97562,a894),f905(x97562,a894)),f317(f317(f8(f905(x97562,a894),f905(f905(x97562,a894),f905(x97562,a894)),x97561),f23(f905(x97562,a894))),x97564)),x97565)),f232(f905(x97562,a894))) % 199.88/201.00 [9757]~E(x97573,f178(f905(x97571,a894)))+E(f317(f317(f35(x97571,f905(x97572,a894)),x97573),f317(f317(f7(x97571,f905(x97572,a894),f905(x97572,a894)),f317(f317(f8(f905(x97572,a894),f905(f905(x97572,a894),f905(x97572,a894)),x97571),f92(f905(x97572,a894))),x97574)),x97575)),f232(f905(x97572,a894))) % 199.88/201.00 [9778]E(x97781,f178(f905(x97782,a894)))+E(f317(f317(f34(x97782,f905(x97783,a894)),x97781),f317(f317(f7(x97782,f905(x97783,a894),f905(x97783,a894)),f317(f317(f8(f905(x97783,a894),f905(f905(x97783,a894),f905(x97783,a894)),x97782),f91(f905(x97783,a894))),x97784)),x97785)),f317(f317(f91(f905(x97783,a894)),f317(f317(f34(x97782,f905(x97783,a894)),x97781),x97784)),x97785)) % 199.88/201.00 [9779]E(x97791,f178(f905(x97792,a894)))+E(f317(f317(f35(x97792,f905(x97793,a894)),x97791),f317(f317(f7(x97792,f905(x97793,a894),f905(x97793,a894)),f317(f317(f8(f905(x97793,a894),f905(f905(x97793,a894),f905(x97793,a894)),x97792),f23(f905(x97793,a894))),x97794)),x97795)),f317(f317(f23(f905(x97793,a894)),f317(f317(f35(x97792,f905(x97793,a894)),x97791),x97794)),x97795)) % 199.88/201.00 [9780]E(x97801,f178(f905(x97802,a894)))+E(f317(f317(f35(x97802,f905(x97803,a894)),x97801),f317(f317(f7(x97802,f905(x97803,a894),f905(x97803,a894)),f317(f317(f8(f905(x97803,a894),f905(f905(x97803,a894),f905(x97803,a894)),x97802),f92(f905(x97803,a894))),x97804)),x97805)),f317(f317(f92(f905(x97803,a894)),f317(f317(f35(x97802,f905(x97803,a894)),x97801),x97804)),x97805)) % 199.88/201.00 [9327]~P1(f317(f317(f225(a898),x93271),x93274))+E(f317(f317(f23(a898),f317(f317(f74(a898),f317(f317(f75(a898),x93271),x93272)),x93273)),f317(f317(f74(a898),f317(f317(f75(a898),x93274),x93272)),x93275)),f317(f317(f23(a898),x93273),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x93274),x93271)),x93272)),x93275))) % 199.88/201.00 [9927]~P145(x99271)+E(f317(f155(x99271),f317(f317(f144(x99272,x99271),f317(f317(f7(x99272,x99271,x99271),f317(f317(f8(x99271,f905(x99271,x99271),x99272),f75(x99271)),x99273)),x99274)),x99275)),f317(f317(f75(x99271),f317(f155(x99271),f317(f317(f144(x99272,x99271),x99273),x99275))),x99274)) % 199.88/201.00 [9933]~P68(x99331)+E(f317(f155(x99331),f317(f317(f144(x99332,x99331),f317(f317(f18(x99332,x99331,x99331),f317(f317(f8(x99331,f905(x99331,x99331),x99332),f23(x99331)),x99333)),x99334)),x99335)),f317(f317(f23(x99331),f317(f155(x99331),f317(f317(f144(x99332,x99331),x99333),x99335))),f317(f155(x99331),f317(f317(f144(x99332,x99331),x99334),x99335)))) % 199.88/201.00 [9934]~P77(x99341)+E(f317(f155(x99341),f317(f317(f144(x99342,x99341),f317(f317(f18(x99342,x99341,x99341),f317(f317(f8(x99341,f905(x99341,x99341),x99342),f74(x99341)),x99343)),x99344)),x99345)),f317(f317(f74(x99341),f317(f155(x99341),f317(f317(f144(x99342,x99341),x99343),x99345))),f317(f155(x99341),f317(f317(f144(x99342,x99341),x99344),x99345)))) % 199.88/201.00 [10080]P1(f317(x100801,f317(f317(f171(x100802,x100803),x100804),x100805)))+~P1(f317(x100801,f317(f317(f171(x100802,x100803),f317(f317(f165(x100802),f317(f317(f229(a898),f317(f179(f899(x100802)),x100804)),f317(f179(f899(x100803)),x100805))),x100804)),f317(f317(f165(x100803),f317(f317(f229(a898),f317(f179(f899(x100802)),x100804)),f317(f179(f899(x100803)),x100805))),x100805)))) % 199.88/201.00 [10342]~P1(f317(f317(f319(f904(x103422,x103421)),f317(f317(f242(x103422,x103421),x103424),x103425)),f317(f276(x103421,x103422),x103423)))+P1(f317(f317(f233(x103421,x103422,f317(f317(f7(x103421,f905(f904(x103421,x103422),a894),f905(x103422,a894)),f317(f317(f8(f905(x103422,f905(f905(f904(x103421,x103422),a894),a894)),f905(f905(f904(x103421,x103422),a894),f905(x103422,a894)),x103421),f7(x103422,f905(f904(x103421,x103422),a894),a894)),f317(f317(f8(f905(x103422,f904(x103421,x103422)),f905(x103422,f905(f905(f904(x103421,x103422),a894),a894)),x103421),f317(f8(f904(x103421,x103422),f905(f905(f904(x103421,x103422),a894),a894),x103422),f319(f904(x103421,x103422)))),f242(x103421,x103422)))),x103423)),x103424),x103425)) % 199.88/201.00 [10352]P1(f317(f317(f319(f904(x103521,x103522)),f317(f317(f242(x103521,x103522),x103523),x103524)),f317(f276(x103522,x103521),x103525)))+~P1(f317(f317(f233(x103522,x103521,f317(f317(f7(x103522,f905(f904(x103522,x103521),a894),f905(x103521,a894)),f317(f317(f8(f905(x103521,f905(f905(f904(x103522,x103521),a894),a894)),f905(f905(f904(x103522,x103521),a894),f905(x103521,a894)),x103522),f7(x103521,f905(f904(x103522,x103521),a894),a894)),f317(f317(f8(f905(x103521,f904(x103522,x103521)),f905(x103521,f905(f905(f904(x103522,x103521),a894),a894)),x103522),f317(f8(f904(x103522,x103521),f905(f905(f904(x103522,x103521),a894),a894),x103521),f319(f904(x103522,x103521)))),f242(x103522,x103521)))),x103525)),x103523),x103524)) % 199.88/201.00 [9584]~P1(f317(f317(f225(a898),x95844),x95841))+E(f317(f317(f23(a898),f317(f317(f74(a898),f317(f317(f75(a898),x95841),x95842)),x95843)),f317(f317(f74(a898),f317(f317(f75(a898),x95844),x95842)),x95845)),f317(f317(f23(a898),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x95841),x95844)),x95842)),x95843)),x95845)) % 199.88/201.00 [7381]E(x73811,x73812)+~E(f210(x73813,x73814,x73815,x73811),f210(x73813,x73814,x73816,x73812)) % 199.88/201.00 [7382]E(x73821,x73822)+~E(f210(x73823,x73824,x73821,x73825),f210(x73823,x73824,x73822,x73826)) % 199.88/201.00 [8505]~P19(x85055,x85051,x85052,x85056)+E(f317(f67(x85051,x85051,x85051,f317(x85052,x85053)),f317(x85052,x85054)),f317(f67(x85051,x85051,x85051,f317(x85052,x85054)),f317(x85052,x85053))) % 199.88/201.00 [8740]~P56(x87404,x87405,x87402,x87401,x87406)+E(f317(x87401,f317(x87402,x87403)),x87403) % 199.88/201.00 [8907]P24(x89071,x89072,x89073,x89074)+~P24(x89071,x89075,f317(f67(x89072,x89075,x89071,x89076),x89073),x89074) % 199.88/201.00 [8980]~E(x89806,x89804)+E(f317(f69(x89801,x89802,x89803,x89804,x89805),x89806),x89805) % 199.88/201.00 [8986]E(x89861,x89862)+E(f317(f69(x89863,x89864,x89865,x89862,x89866),x89861),f317(x89865,x89861)) % 199.88/201.00 [8998]~P24(x89984,x89982,f317(f67(x89981,x89982,x89984,x89983),x89985),x89986)+P24(x89981,x89982,x89983,f317(f300(x89984,x89981,x89985),x89986)) % 199.88/201.00 [9718]P1(f317(f28(x97181),x97182))+~P1(f317(f60(x97181,x97183,x97184,x97185,x97182),x97186)) % 199.88/201.00 [9727]~P1(f317(f317(f319(x97274),x97273),f287(x97274,x97271,x97275,x97272,x97276)))+P1(f317(f317(x97271,x97272),x97273)) % 199.88/201.00 [9728]~P1(f317(f317(f319(x97284),x97283),f290(x97284,x97285,x97281,x97282,x97286)))+P1(f317(f317(x97281,x97282),x97283)) % 199.88/201.00 [9729]~P1(f317(f317(f319(x97294),x97292),f287(x97294,x97295,x97291,x97296,x97293)))+P1(f317(f317(x97291,x97292),x97293)) % 199.88/201.00 [9730]~P1(f317(f317(f319(x97304),x97302),f290(x97304,x97301,x97305,x97306,x97303)))+P1(f317(f317(x97301,x97302),x97303)) % 199.88/201.00 [10229]P12(x102291,x102292,x102293,x102294,x102295,x102296)+~E(f317(f317(x102296,f827(x102293,x102296,x102295,x102292,x102294,x102291)),f829(x102293,x102296,x102295,x102292,x102294,x102291)),f317(f317(x102296,f828(x102293,x102296,x102295,x102292,x102294,x102291)),f830(x102293,x102296,x102295,x102292,x102294,x102291))) % 199.88/201.00 [5837]E(x58371,x58372)+~E(f317(f317(f242(x58373,x58374),x58375),x58371),f317(f317(f242(x58373,x58374),x58376),x58372)) % 199.88/201.00 [5839]E(x58391,x58392)+~E(f317(f317(f242(x58393,x58394),x58391),x58395),f317(f317(f242(x58393,x58394),x58392),x58396)) % 199.88/201.00 [5984]~P16(x59845,x59846,x59841)+E(f317(f317(x59841,x59842),f317(f317(x59841,x59843),x59844)),f317(f317(x59841,x59843),f317(f317(x59841,x59842),x59844))) % 199.88/201.00 [7448]~P31(x74484,x74481,f317(f317(f141(x74484),x74482),x74485),f317(f317(f141(x74484),x74483),x74486))+P1(f317(f317(x74481,x74482),x74483)) % 199.88/201.00 [7807]P31(x78071,x78072,x78073,x78074)+~P31(x78071,x78072,f317(f317(f141(x78071),x78075),x78073),f317(f317(f141(x78071),x78076),x78074)) % 199.88/201.00 [8844]~P56(x88445,x88441,x88442,x88446,x88444)+P1(f317(f317(f319(x88441),f317(x88442,x88443)),x88444)) % 199.88/201.00 [9046]~E(x90463,f317(f317(f141(x90461),x90465),x90466))+P1(f317(f317(f319(f904(f899(x90461),f899(x90461))),f317(f317(f242(f899(x90461),f899(x90461)),x90462),f317(f317(f124(x90461),x90462),x90463))),f137(x90461,x90464))) % 199.88/201.00 [9281]~P33(x92811,x92812,x92813,x92815,x92816)+P33(x92811,x92812,x92813,f317(f317(f165(x92811),x92814),x92815),f317(f317(f165(x92812),x92814),x92816)) % 199.88/201.00 [9282]~P33(x92821,x92822,x92823,x92825,x92826)+P33(x92821,x92822,x92823,f317(f317(f128(x92821),x92824),x92825),f317(f317(f128(x92822),x92824),x92826)) % 199.88/201.00 [9546]E(f317(f300(x95461,x95462,f69(x95461,x95462,x95463,x95464,x95465)),x95466),f317(f300(x95461,x95462,x95463),x95466))+P1(f317(f317(f319(x95461),x95464),x95466)) % 199.88/201.00 [9549]E(f317(f317(f144(x95491,x95492),f69(x95491,x95492,x95493,x95494,x95495)),x95496),f317(f317(f144(x95491,x95492),x95493),x95496))+P1(f317(f317(f319(x95491),x95494),f317(f162(x95491),x95496))) % 199.88/201.00 [9790]~P23(x97904,x97902,x97905,x97903,x97906,x97901)+E(f317(x97901,f178(f905(x97902,a894))),x97903) % 199.88/201.00 [10022]~E(f317(x100224,f317(f241(x100221,x100223),x100225)),f317(x100226,f317(f241(x100221,x100223),x100225)))+E(f317(f248(x100221,x100222,x100223,x100223,x100224,f25(x100223)),x100225),f317(f248(x100221,x100222,x100223,x100223,x100226,f25(x100223)),x100225)) % 199.88/201.00 [10023]~E(f317(x100234,f317(f246(x100231,x100232),x100235)),f317(x100236,f317(f246(x100231,x100232),x100235)))+E(f317(f248(x100231,x100231,x100232,x100233,f25(x100231),x100234),x100235),f317(f248(x100231,x100231,x100232,x100233,f25(x100231),x100236),x100235)) % 199.88/201.00 [10076]~E(f317(f248(x100762,x100766,x100763,x100763,x100761,f25(x100763)),x100764),f317(f248(x100762,x100766,x100763,x100763,x100765,f25(x100763)),x100764))+E(f317(x100761,f317(f241(x100762,x100763),x100764)),f317(x100765,f317(f241(x100762,x100763),x100764))) % 199.88/201.00 [10077]~E(f317(f248(x100772,x100772,x100773,x100776,f25(x100772),x100771),x100774),f317(f248(x100772,x100772,x100773,x100776,f25(x100772),x100775),x100774))+E(f317(x100771,f317(f246(x100772,x100773),x100774)),f317(x100775,f317(f246(x100772,x100773),x100774))) % 199.88/201.00 [8947]P1(f317(f317(f319(x89471),x89472),x89473))+~P1(f317(f317(f319(f904(x89471,x89474)),f317(f317(f242(x89471,x89474),x89472),x89475)),f317(f317(f244(x89471,x89474),x89473),x89476))) % 199.88/201.00 [8963]P1(f317(f317(f319(x89631),x89632),f317(x89633,x89634)))+~P1(f317(f317(f319(f904(x89635,x89631)),f317(f317(f242(x89635,x89631),x89634),x89632)),f317(f317(f244(x89635,x89631),x89636),x89633))) % 199.88/201.00 [9403]P1(f317(f317(f319(f904(x94031,x94031)),f317(f317(f242(x94031,x94031),f317(x94032,x94033)),f317(x94032,x94034))),x94035))+~P1(f317(f317(f319(f904(x94036,x94036)),f317(f317(f242(x94036,x94036),x94033),x94034)),f317(f317(f278(x94031,x94036),x94035),x94032))) % 199.88/201.00 [9423]~P1(f317(f317(f319(f904(x94234,x94234)),f317(f317(f242(x94234,x94234),f317(x94236,x94232)),f317(x94236,x94233))),x94235))+P1(f317(f317(f319(f904(x94231,x94231)),f317(f317(f242(x94231,x94231),x94232),x94233)),f317(f317(f278(x94234,x94231),x94235),x94236))) % 199.88/201.00 [10079]E(f317(f317(f242(x100791,x100792),f618(x100793,x100794,x100795,x100796,x100792,x100791)),f619(x100793,x100794,x100795,x100796,x100792,x100791)),x100796)+~P1(f317(f317(f319(f904(x100791,x100792)),x100796),f317(f317(f279(x100791,x100795,x100792),x100794),x100793))) % 199.88/201.00 [10300]~P1(f317(f317(f319(f904(x103001,x103006)),x103005),f317(f317(f279(x103001,x103002,x103006),x103004),x103003)))+P1(f317(f317(f319(f904(x103001,x103002)),f317(f317(f242(x103001,x103002),f618(x103003,x103004,x103002,x103005,x103006,x103001)),f620(x103003,x103004,x103002,x103005,x103006,x103001))),x103004)) % 199.88/201.00 [10301]~P1(f317(f317(f319(f904(x103016,x103012)),x103015),f317(f317(f279(x103016,x103011,x103012),x103014),x103013)))+P1(f317(f317(f319(f904(x103011,x103012)),f317(f317(f242(x103011,x103012),f620(x103013,x103014,x103011,x103015,x103012,x103016)),f619(x103013,x103014,x103011,x103015,x103012,x103016))),x103013)) % 199.88/201.00 [10302]P12(x103021,x103022,x103023,x103024,x103025,x103026)+P1(f317(f317(f319(f904(x103022,x103022)),f317(f317(f242(x103022,x103022),f830(x103023,x103026,x103025,x103022,x103024,x103021)),f829(x103023,x103026,x103025,x103022,x103024,x103021))),x103025)) % 199.88/201.00 [10303]P12(x103031,x103032,x103033,x103034,x103035,x103036)+P1(f317(f317(f319(f904(x103031,x103031)),f317(f317(f242(x103031,x103031),f828(x103033,x103036,x103035,x103032,x103034,x103031)),f827(x103033,x103036,x103035,x103032,x103034,x103031))),x103034)) % 199.88/201.00 [7878]~P5(x78782)+E(f317(f317(f34(x78781,x78782),x78783),f317(f317(f7(x78781,x78784,x78782),x78785),x78786)),f317(f317(f317(f34(x78781,f905(x78784,x78782)),x78783),x78785),x78786)) % 199.88/201.00 [7879]~P5(x78792)+E(f317(f317(f35(x78791,x78792),x78793),f317(f317(f7(x78791,x78794,x78792),x78795),x78796)),f317(f317(f317(f35(x78791,f905(x78794,x78792)),x78793),x78795),x78796)) % 199.88/201.00 [8650]E(f317(f317(f34(x86501,f905(x86502,a894)),x86503),f317(f317(f8(f905(x86502,a894),f905(x86502,a894),x86501),f317(f299(x86502),x86504)),x86505)),f317(f317(f299(x86502),x86504),f317(f317(f34(x86501,f905(x86502,a894)),x86503),x86505)))+~P1(f317(f317(f319(x86501),x86506),x86503)) % 199.88/201.00 [9099]~P5(x90992)+E(f317(f317(f34(x90991,x90992),x90993),f317(f317(f8(f905(x90994,x90992),x90992,x90991),f317(f34(x90994,x90992),x90995)),f317(f7(x90994,x90991,x90992),x90996))),f317(f317(f34(x90994,x90992),x90995),f317(f317(f8(f905(x90991,x90992),x90992,x90994),f317(f34(x90991,x90992),x90993)),x90996))) % 199.88/201.00 [9100]~P5(x91002)+E(f317(f317(f35(x91001,x91002),x91003),f317(f317(f8(f905(x91004,x91002),x91002,x91001),f317(f35(x91004,x91002),x91005)),f317(f7(x91004,x91001,x91002),x91006))),f317(f317(f35(x91004,x91002),x91005),f317(f317(f8(f905(x91001,x91002),x91002,x91004),f317(f35(x91001,x91002),x91003)),x91006))) % 199.88/201.00 [9307]P1(f317(f317(f319(x93071),x93072),f317(f162(x93071),x93073)))+~P1(f317(f317(f319(f904(x93074,x93071)),f317(f317(f242(x93074,x93071),x93075),x93072)),f317(f162(f904(x93074,x93071)),f317(f317(f171(x93074,x93071),x93076),x93073)))) % 199.88/201.00 [9308]P1(f317(f317(f319(x93081),x93082),f317(f162(x93081),x93083)))+~P1(f317(f317(f319(f904(x93081,x93084)),f317(f317(f242(x93081,x93084),x93082),x93085)),f317(f162(f904(x93081,x93084)),f317(f317(f171(x93081,x93084),x93083),x93086)))) % 199.88/201.00 [9419]P1(f317(f317(f225(f905(x94191,a894)),f317(f275(x94192,x94191,x94193),x94194)),x94195))+~P1(f317(f317(f225(f905(f904(x94192,x94191),a894)),x94193),f317(f317(f244(x94192,x94191),x94196),f317(f16(f905(x94191,a894),x94192),x94195)))) % 199.88/201.00 [9424]~P25(x94244,x94242,x94245,f232(f905(x94244,a894)),f232(f905(x94242,a894)))+E(f317(f317(f35(x94241,f905(x94242,a894)),x94243),f317(f317(f8(f905(x94244,a894),f905(x94242,a894),x94241),f300(x94244,x94242,x94245)),x94246)),f317(f300(x94244,x94242,x94245),f317(f317(f35(x94241,f905(x94244,a894)),x94243),x94246))) % 199.88/201.00 [9622]P1(f317(f317(f319(f904(f899(x96221),f899(x96221))),f317(f317(f242(f899(x96221),f899(x96221)),f317(f317(f141(x96221),x96222),x96223)),f317(f317(f141(x96221),x96224),x96225))),f137(x96221,x96226)))+~P1(f317(f317(f319(f904(x96221,x96221)),f317(f317(f242(x96221,x96221),x96222),x96224)),x96226)) % 199.88/201.00 [10075]E(f317(f317(f242(x100751,x100752),f559(x100753,x100754,x100755,x100752,x100751,x100756)),f561(x100753,x100754,x100755,x100752,x100751,x100756)),x100756)+P1(f317(f317(f319(x100755),x100754),f317(f317(f247(x100751,x100752,f905(x100755,a894)),x100753),x100756))) % 199.88/201.00 [10081]E(f317(f317(f242(x100811,x100812),f555(x100813,x100814,x100812,x100811,x100815,x100816)),f560(x100813,x100814,x100812,x100811,x100815,x100816)),x100813)+~P1(f317(f317(f319(x100816),x100815),f317(f317(f247(x100811,x100812,f905(x100816,a894)),x100814),x100813))) % 199.88/201.00 [10244]P1(f317(f317(f319(x102441),x102442),f317(f317(x102443,f555(x102444,x102443,x102445,x102446,x102442,x102441)),f560(x102444,x102443,x102445,x102446,x102442,x102441))))+~P1(f317(f317(f319(x102441),x102442),f317(f317(f247(x102446,x102445,f905(x102441,a894)),x102443),x102444))) % 199.88/201.00 [10273]~P1(f317(f317(f319(x102731),x102732),f317(f317(x102735,f559(x102735,x102732,x102731,x102734,x102733,x102736)),f561(x102735,x102732,x102731,x102734,x102733,x102736))))+P1(f317(f317(f319(x102731),x102732),f317(f317(f247(x102733,x102734,f905(x102731,a894)),x102735),x102736))) % 199.88/201.00 [8551]E(x85511,x85512)+E(f317(f317(f149(x85513,f317(f317(f149(x85513,x85514),x85511),x85515)),x85512),x85516),f317(f317(f149(x85513,f317(f317(f149(x85513,x85514),x85512),x85516)),x85511),x85515)) % 199.88/201.00 [9682]~P1(f317(f317(f319(x96823),x96826),x96825))+E(f317(f317(f299(x96821),x96822),f317(f300(x96823,x96821,x96824),f317(f317(f23(f905(x96823,a894)),x96825),f317(f317(f299(x96823),x96826),f178(f905(x96823,a894)))))),f317(f300(x96823,x96821,f69(x96823,x96821,x96824,x96826,x96822)),x96825)) % 199.88/201.00 [9180]~P1(f317(f317(x91804,x91805),x91806))+P1(f317(f317(f317(f317(f91(f905(x91801,f905(x91802,a894))),x91803),x91804),x91805),x91806)) % 199.88/201.00 [9182]~P1(f317(f317(x91823,x91825),x91826))+P1(f317(f317(f317(f317(f91(f905(x91821,f905(x91822,a894))),x91823),x91824),x91825),x91826)) % 199.88/201.00 [9474]P1(f317(f317(x94741,x94742),x94743))+~P1(f317(f317(f317(f317(f92(f905(x94744,f905(x94745,a894))),x94746),x94741),x94742),x94743)) % 199.88/201.00 [9475]P1(f317(f317(x94751,x94752),x94753))+~P1(f317(f317(f317(f317(f92(f905(x94754,f905(x94755,a894))),x94751),x94756),x94752),x94753)) % 199.88/201.00 [9915]~P78(x99152)+E(f317(f317(f9(x99151,x99152),f317(f317(f7(x99151,f905(x99153,a894),x99152),f317(f317(f8(f905(x99153,x99152),f905(f905(x99153,a894),x99152),x99151),f9(x99153,x99152)),x99154)),x99155)),x99156),f317(f317(f9(f904(x99151,x99153),x99152),f317(f247(x99151,x99153,x99152),x99154)),f317(f317(f244(x99151,x99153),x99156),f317(f16(f905(x99153,a894),x99151),x99155)))) % 199.88/201.00 [9916]~P77(x99162)+E(f317(f317(f6(x99161,x99162),f317(f317(f7(x99161,f905(x99163,a894),x99162),f317(f317(f8(f905(x99163,x99162),f905(f905(x99163,a894),x99162),x99161),f6(x99163,x99162)),x99164)),x99165)),x99166),f317(f317(f6(f904(x99161,x99163),x99162),f317(f247(x99161,x99163,x99162),x99164)),f317(f317(f244(x99161,x99163),x99166),f317(f16(f905(x99163,a894),x99161),x99165)))) % 199.88/201.00 [10047]~P77(x100472)+E(f317(f317(f6(x100471,x100472),f317(f317(f7(x100471,f905(x100473,a894),x100472),f317(f317(f8(f905(x100473,x100472),f905(f905(x100473,a894),x100472),x100471),f6(x100473,x100472)),f317(f7(x100473,x100471,x100472),x100474))),x100475)),x100476),f317(f317(f6(x100473,x100472),f317(f317(f7(x100473,f905(x100471,a894),x100472),f317(f317(f8(f905(x100471,x100472),f905(f905(x100471,a894),x100472),x100473),f6(x100471,x100472)),x100474)),x100476)),x100475)) % 199.88/201.00 [10364]~P1(f317(f317(f319(f904(x103641,x103642)),f317(f317(f242(x103641,x103642),x103645),x103646)),f317(f317(f91(f905(f904(x103641,x103642),a894)),x103643),x103644)))+P1(f317(f317(f317(f317(f91(f905(x103641,f905(x103642,a894))),f317(f317(f7(x103641,f905(f904(x103641,x103642),a894),f905(x103642,a894)),f317(f317(f8(f905(x103642,f905(f905(f904(x103641,x103642),a894),a894)),f905(f905(f904(x103641,x103642),a894),f905(x103642,a894)),x103641),f7(x103642,f905(f904(x103641,x103642),a894),a894)),f317(f317(f8(f905(x103642,f904(x103641,x103642)),f905(x103642,f905(f905(f904(x103641,x103642),a894),a894)),x103641),f317(f8(f904(x103641,x103642),f905(f905(f904(x103641,x103642),a894),a894),x103642),f319(f904(x103641,x103642)))),f242(x103641,x103642)))),x103643)),f317(f317(f7(x103641,f905(f904(x103641,x103642),a894),f905(x103642,a894)),f317(f317(f8(f905(x103642,f905(f905(f904(x103641,x103642),a894),a894)),f905(f905(f904(x103641,x103642),a894),f905(x103642,a894)),x103641),f7(x103642,f905(f904(x103641,x103642),a894),a894)),f317(f317(f8(f905(x103642,f904(x103641,x103642)),f905(x103642,f905(f905(f904(x103641,x103642),a894),a894)),x103641),f317(f8(f904(x103641,x103642),f905(f905(f904(x103641,x103642),a894),a894),x103642),f319(f904(x103641,x103642)))),f242(x103641,x103642)))),x103644)),x103645),x103646)) % 199.88/201.00 [10365]~P1(f317(f317(f319(f904(x103651,x103652)),f317(f317(f242(x103651,x103652),x103655),x103656)),f317(f317(f92(f905(f904(x103651,x103652),a894)),x103653),x103654)))+P1(f317(f317(f317(f317(f92(f905(x103651,f905(x103652,a894))),f317(f317(f7(x103651,f905(f904(x103651,x103652),a894),f905(x103652,a894)),f317(f317(f8(f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),f905(f905(f904(x103651,x103652),a894),f905(x103652,a894)),x103651),f7(x103652,f905(f904(x103651,x103652),a894),a894)),f317(f317(f8(f905(x103652,f904(x103651,x103652)),f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),x103651),f317(f8(f904(x103651,x103652),f905(f905(f904(x103651,x103652),a894),a894),x103652),f319(f904(x103651,x103652)))),f242(x103651,x103652)))),x103653)),f317(f317(f7(x103651,f905(f904(x103651,x103652),a894),f905(x103652,a894)),f317(f317(f8(f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),f905(f905(f904(x103651,x103652),a894),f905(x103652,a894)),x103651),f7(x103652,f905(f904(x103651,x103652),a894),a894)),f317(f317(f8(f905(x103652,f904(x103651,x103652)),f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),x103651),f317(f8(f904(x103651,x103652),f905(f905(f904(x103651,x103652),a894),a894),x103652),f319(f904(x103651,x103652)))),f242(x103651,x103652)))),x103654)),x103655),x103656)) % 199.88/201.00 [10374]P1(f317(f317(f319(f904(x103741,x103742)),f317(f317(f242(x103741,x103742),x103743),x103744)),f317(f317(f91(f905(f904(x103741,x103742),a894)),x103745),x103746)))+~P1(f317(f317(f317(f317(f91(f905(x103741,f905(x103742,a894))),f317(f317(f7(x103741,f905(f904(x103741,x103742),a894),f905(x103742,a894)),f317(f317(f8(f905(x103742,f905(f905(f904(x103741,x103742),a894),a894)),f905(f905(f904(x103741,x103742),a894),f905(x103742,a894)),x103741),f7(x103742,f905(f904(x103741,x103742),a894),a894)),f317(f317(f8(f905(x103742,f904(x103741,x103742)),f905(x103742,f905(f905(f904(x103741,x103742),a894),a894)),x103741),f317(f8(f904(x103741,x103742),f905(f905(f904(x103741,x103742),a894),a894),x103742),f319(f904(x103741,x103742)))),f242(x103741,x103742)))),x103745)),f317(f317(f7(x103741,f905(f904(x103741,x103742),a894),f905(x103742,a894)),f317(f317(f8(f905(x103742,f905(f905(f904(x103741,x103742),a894),a894)),f905(f905(f904(x103741,x103742),a894),f905(x103742,a894)),x103741),f7(x103742,f905(f904(x103741,x103742),a894),a894)),f317(f317(f8(f905(x103742,f904(x103741,x103742)),f905(x103742,f905(f905(f904(x103741,x103742),a894),a894)),x103741),f317(f8(f904(x103741,x103742),f905(f905(f904(x103741,x103742),a894),a894),x103742),f319(f904(x103741,x103742)))),f242(x103741,x103742)))),x103746)),x103743),x103744)) % 199.88/201.00 [10375]P1(f317(f317(f319(f904(x103751,x103752)),f317(f317(f242(x103751,x103752),x103753),x103754)),f317(f317(f92(f905(f904(x103751,x103752),a894)),x103755),x103756)))+~P1(f317(f317(f317(f317(f92(f905(x103751,f905(x103752,a894))),f317(f317(f7(x103751,f905(f904(x103751,x103752),a894),f905(x103752,a894)),f317(f317(f8(f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),f905(f905(f904(x103751,x103752),a894),f905(x103752,a894)),x103751),f7(x103752,f905(f904(x103751,x103752),a894),a894)),f317(f317(f8(f905(x103752,f904(x103751,x103752)),f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),x103751),f317(f8(f904(x103751,x103752),f905(f905(f904(x103751,x103752),a894),a894),x103752),f319(f904(x103751,x103752)))),f242(x103751,x103752)))),x103755)),f317(f317(f7(x103751,f905(f904(x103751,x103752),a894),f905(x103752,a894)),f317(f317(f8(f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),f905(f905(f904(x103751,x103752),a894),f905(x103752,a894)),x103751),f7(x103752,f905(f904(x103751,x103752),a894),a894)),f317(f317(f8(f905(x103752,f904(x103751,x103752)),f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),x103751),f317(f8(f904(x103751,x103752),f905(f905(f904(x103751,x103752),a894),a894),x103752),f319(f904(x103751,x103752)))),f242(x103751,x103752)))),x103756)),x103753),x103754)) % 199.88/201.00 [10358]~P1(f317(f317(f319(f904(x103582,x103583)),f317(f317(f242(x103582,x103583),x103585),x103586)),f317(f317(f34(x103581,f905(f904(x103582,x103583),a894)),f232(f905(x103581,a894))),x103584)))+P1(f317(f317(f317(f317(f34(x103581,f905(x103582,f905(x103583,a894))),f232(f905(x103581,a894))),f317(f317(f8(f905(f904(x103582,x103583),a894),f905(x103582,f905(x103583,a894)),x103581),f317(f7(x103582,f905(f904(x103582,x103583),a894),f905(x103583,a894)),f317(f317(f8(f905(x103583,f905(f905(f904(x103582,x103583),a894),a894)),f905(f905(f904(x103582,x103583),a894),f905(x103583,a894)),x103582),f7(x103583,f905(f904(x103582,x103583),a894),a894)),f317(f317(f8(f905(x103583,f904(x103582,x103583)),f905(x103583,f905(f905(f904(x103582,x103583),a894),a894)),x103582),f317(f8(f904(x103582,x103583),f905(f905(f904(x103582,x103583),a894),a894),x103583),f319(f904(x103582,x103583)))),f242(x103582,x103583))))),x103584)),x103585),x103586)) % 199.88/201.00 [10359]~P1(f317(f317(f319(f904(x103592,x103593)),f317(f317(f242(x103592,x103593),x103595),x103596)),f317(f317(f35(x103591,f905(f904(x103592,x103593),a894)),f232(f905(x103591,a894))),x103594)))+P1(f317(f317(f317(f317(f35(x103591,f905(x103592,f905(x103593,a894))),f232(f905(x103591,a894))),f317(f317(f8(f905(f904(x103592,x103593),a894),f905(x103592,f905(x103593,a894)),x103591),f317(f7(x103592,f905(f904(x103592,x103593),a894),f905(x103593,a894)),f317(f317(f8(f905(x103593,f905(f905(f904(x103592,x103593),a894),a894)),f905(f905(f904(x103592,x103593),a894),f905(x103593,a894)),x103592),f7(x103593,f905(f904(x103592,x103593),a894),a894)),f317(f317(f8(f905(x103593,f904(x103592,x103593)),f905(x103593,f905(f905(f904(x103592,x103593),a894),a894)),x103592),f317(f8(f904(x103592,x103593),f905(f905(f904(x103592,x103593),a894),a894),x103593),f319(f904(x103592,x103593)))),f242(x103592,x103593))))),x103594)),x103595),x103596)) % 199.88/201.00 [10368]P1(f317(f317(f319(f904(x103681,x103682)),f317(f317(f242(x103681,x103682),x103683),x103684)),f317(f317(f34(x103685,f905(f904(x103681,x103682),a894)),f232(f905(x103685,a894))),x103686)))+~P1(f317(f317(f317(f317(f34(x103685,f905(x103681,f905(x103682,a894))),f232(f905(x103685,a894))),f317(f317(f8(f905(f904(x103681,x103682),a894),f905(x103681,f905(x103682,a894)),x103685),f317(f7(x103681,f905(f904(x103681,x103682),a894),f905(x103682,a894)),f317(f317(f8(f905(x103682,f905(f905(f904(x103681,x103682),a894),a894)),f905(f905(f904(x103681,x103682),a894),f905(x103682,a894)),x103681),f7(x103682,f905(f904(x103681,x103682),a894),a894)),f317(f317(f8(f905(x103682,f904(x103681,x103682)),f905(x103682,f905(f905(f904(x103681,x103682),a894),a894)),x103681),f317(f8(f904(x103681,x103682),f905(f905(f904(x103681,x103682),a894),a894),x103682),f319(f904(x103681,x103682)))),f242(x103681,x103682))))),x103686)),x103683),x103684)) % 199.88/201.00 [10369]P1(f317(f317(f319(f904(x103691,x103692)),f317(f317(f242(x103691,x103692),x103693),x103694)),f317(f317(f35(x103695,f905(f904(x103691,x103692),a894)),f232(f905(x103695,a894))),x103696)))+~P1(f317(f317(f317(f317(f35(x103695,f905(x103691,f905(x103692,a894))),f232(f905(x103695,a894))),f317(f317(f8(f905(f904(x103691,x103692),a894),f905(x103691,f905(x103692,a894)),x103695),f317(f7(x103691,f905(f904(x103691,x103692),a894),f905(x103692,a894)),f317(f317(f8(f905(x103692,f905(f905(f904(x103691,x103692),a894),a894)),f905(f905(f904(x103691,x103692),a894),f905(x103692,a894)),x103691),f7(x103692,f905(f904(x103691,x103692),a894),a894)),f317(f317(f8(f905(x103692,f904(x103691,x103692)),f905(x103692,f905(f905(f904(x103691,x103692),a894),a894)),x103691),f317(f8(f904(x103691,x103692),f905(f905(f904(x103691,x103692),a894),a894),x103692),f319(f904(x103691,x103692)))),f242(x103691,x103692))))),x103696)),x103693),x103694)) % 199.88/201.00 [7553]E(f317(x75531,f317(x75532,x75533)),f317(x75534,x75533))+~E(f317(f67(x75535,x75536,x75537,x75531),x75532),x75534) % 199.88/201.00 [9698]E(x96981,x96982)+E(f69(x96983,x96984,f69(x96983,x96984,x96985,x96981,x96986),x96982,x96987),f69(x96983,x96984,f69(x96983,x96984,x96985,x96982,x96987),x96981,x96986)) % 199.88/201.00 [9789]~P22(x97893,x97894,x97891,x97895,x97896,x97897)+E(f317(f317(x97891,x97892),x97892),x97892) % 199.88/201.00 [6087]~E(f317(f317(f144(x60871,x60875),x60876),x60872),f317(f317(f144(x60873,x60875),x60877),x60874))+E(f317(f179(f899(x60871)),x60872),f317(f179(f899(x60873)),x60874)) % 199.88/201.00 [8582]E(f317(x85821,f317(x85822,x85823)),f317(x85824,x85823))+~E(f317(f67(x85825,x85826,x85827,x85821),x85822),f317(f67(x85826,x85826,x85827,f25(x85826)),x85824)) % 199.88/201.00 [8936]~P33(x89364,x89365,x89361,f317(f317(f141(x89364),x89362),x89366),f317(f317(f141(x89365),x89363),x89367))+P1(f317(f317(x89361,x89362),x89363)) % 199.88/201.00 [9314]P33(x93141,x93142,x93143,x93144,x93145)+~P33(x93141,x93142,x93143,f317(f317(f141(x93141),x93146),x93144),f317(f317(f141(x93142),x93147),x93145)) % 199.88/201.00 [9948]P1(f317(f317(x99481,x99482),f530(x99483,x99482,x99484,x99481)))+~P1(f317(f317(f243(x99485,x99486,x99487,x99481,x99484),x99482),x99483)) % 199.88/201.00 [9972]P1(f317(f317(x99721,f530(x99722,x99723,x99721,x99724)),x99722))+~P1(f317(f317(f243(x99725,x99726,x99727,x99724,x99721),x99723),x99722)) % 199.88/201.00 [9053]~P20(x90536,x90531,x90533,x90537)+E(f317(f67(x90531,x90531,x90532,f317(x90533,x90534)),f317(f67(x90531,x90531,x90532,f317(x90533,x90534)),x90535)),f317(f67(x90531,x90531,x90532,f317(x90533,x90534)),x90535)) % 199.88/201.00 [9427]~P33(x94273,x94272,x94274,f317(f317(f144(x94271,x94273),x94275),x94276),x94277)+P33(x94271,x94272,f317(f317(f8(x94273,f905(x94272,a894),x94271),x94274),x94275),x94276,x94277) % 199.88/201.00 [9450]P33(x94501,x94502,x94503,f317(f317(f144(x94504,x94501),x94505),x94506),x94507)+~P33(x94504,x94502,f317(f317(f8(x94501,f905(x94502,a894),x94504),x94503),x94505),x94506,x94507) % 199.88/201.00 [9052]~P1(f317(f317(f319(x90521),x90522),f317(f317(x90525,x90526),x90527)))+P1(f317(f317(f319(x90521),x90522),f317(f317(f247(x90523,x90524,f905(x90521,a894)),x90525),f317(f317(f242(x90523,x90524),x90526),x90527)))) % 199.88/201.00 [9340]P1(f317(f317(f317(x93401,x93402),x93403),x93404))+~P1(f317(f317(f317(f247(x93405,x93406,f905(x93407,a894)),x93401),f317(f317(f242(x93405,x93406),x93402),x93403)),x93404)) % 199.88/201.00 [9489]P1(f317(f317(f319(x94891),f317(f317(x94892,x94893),x94894)),f317(f300(f904(x94895,x94896),x94891,f317(f247(x94895,x94896,x94891),x94892)),x94897)))+~P1(f317(f317(f319(f904(x94895,x94896)),f317(f317(f242(x94895,x94896),x94893),x94894)),x94897)) % 199.88/201.00 [9836]P1(f317(f317(f319(f904(f899(x98361),f899(x98361))),f317(f317(f242(f899(x98361),f899(x98361)),f317(f317(f124(x98361),x98362),f317(f317(f141(x98361),x98363),x98364))),f317(f317(f124(x98361),x98362),f317(f317(f141(x98361),x98365),x98366)))),f137(x98361,x98367)))+~P1(f317(f317(f319(f904(x98361,x98361)),f317(f317(f242(x98361,x98361),x98363),x98365)),x98367)) % 199.88/201.00 [9900]~P33(x99001,x99003,x99004,x99006,f317(f317(f144(x99002,x99003),x99005),x99007))+P33(x99001,x99002,f317(f317(f7(x99001,f905(x99002,x99003),f905(x99002,a894)),f317(f317(f8(f905(x99003,a894),f905(f905(x99002,x99003),f905(x99002,a894)),x99001),f8(x99003,a894,x99002)),x99004)),x99005),x99006,x99007) % 199.88/201.00 [9976]P33(x99761,x99762,x99763,x99764,f317(f317(f144(x99765,x99762),x99766),x99767))+~P33(x99761,x99765,f317(f317(f7(x99761,f905(x99765,x99762),f905(x99765,a894)),f317(f317(f8(f905(x99762,a894),f905(f905(x99765,x99762),f905(x99765,a894)),x99761),f8(x99762,a894,x99765)),x99763)),x99766),x99764,x99767) % 199.88/201.00 [10287]P1(f317(f317(f319(x102871),f472(x102872,x102873,x102874,x102875,x102876,x102877,x102871)),x102875))+P1(f317(f317(f317(f317(f35(x102871,f905(x102877,f905(x102876,a894))),x102875),x102874),x102873),x102872)) % 199.88/201.00 [10288]P1(f317(f317(f319(x102881),f763(x102882,x102883,x102884,x102885,x102886,x102887,x102881)),x102887))+P1(f317(f317(f317(f317(f35(x102881,f905(x102883,f905(x102882,a894))),x102887),x102886),x102885),x102884)) % 199.88/201.00 [10289]P1(f317(f317(f319(x102891),f363(x102892,x102893,x102894,x102895,x102896,x102897,x102891)),x102895))+~P1(f317(f317(f317(f317(f34(x102891,f905(x102897,f905(x102896,a894))),x102895),x102894),x102893),x102892)) % 199.88/201.00 [10290]P1(f317(f317(f319(x102901),f764(x102902,x102903,x102904,x102905,x102906,x102907,x102901)),x102905))+~P1(f317(f317(f317(f317(f34(x102901,f905(x102907,f905(x102906,a894))),x102905),x102904),x102903),x102902)) % 199.88/201.00 [10323]P1(f317(f317(f317(x103231,f363(x103232,x103233,x103231,x103234,x103235,x103236,x103237)),x103233),x103232))+~P1(f317(f317(f317(f317(f34(x103237,f905(x103236,f905(x103235,a894))),x103234),x103231),x103233),x103232)) % 199.88/201.00 [10324]P1(f317(f317(f317(x103241,f764(x103242,x103243,x103241,x103244,x103245,x103246,x103247)),x103243),x103242))+~P1(f317(f317(f317(f317(f34(x103247,f905(x103246,f905(x103245,a894))),x103244),x103241),x103243),x103242)) % 199.88/201.00 [10339]~P1(f317(f317(f317(x103395,f472(x103397,x103396,x103395,x103394,x103393,x103392,x103391)),x103396),x103397))+P1(f317(f317(f317(f317(f35(x103391,f905(x103392,f905(x103393,a894))),x103394),x103395),x103396),x103397)) % 199.88/201.00 [10340]~P1(f317(f317(f317(x103405,f763(x103403,x103402,x103407,x103406,x103405,x103404,x103401)),x103406),x103407))+P1(f317(f317(f317(f317(f35(x103401,f905(x103402,f905(x103403,a894))),x103404),x103405),x103406),x103407)) % 199.88/201.00 [10357]~P1(f317(f317(f319(f904(x103571,x103573)),f317(f317(f242(x103571,x103573),x103576),x103577)),f317(f317(f279(x103571,x103572,x103573),x103574),x103575)))+P1(f317(f317(f243(x103571,x103572,x103573,f317(f317(f7(x103571,f905(f904(x103571,x103572),a894),f905(x103572,a894)),f317(f317(f8(f905(x103572,f905(f905(f904(x103571,x103572),a894),a894)),f905(f905(f904(x103571,x103572),a894),f905(x103572,a894)),x103571),f7(x103572,f905(f904(x103571,x103572),a894),a894)),f317(f317(f8(f905(x103572,f904(x103571,x103572)),f905(x103572,f905(f905(f904(x103571,x103572),a894),a894)),x103571),f317(f8(f904(x103571,x103572),f905(f905(f904(x103571,x103572),a894),a894),x103572),f319(f904(x103571,x103572)))),f242(x103571,x103572)))),x103574),f317(f317(f7(x103572,f905(f904(x103572,x103573),a894),f905(x103573,a894)),f317(f317(f8(f905(x103573,f905(f905(f904(x103572,x103573),a894),a894)),f905(f905(f904(x103572,x103573),a894),f905(x103573,a894)),x103572),f7(x103573,f905(f904(x103572,x103573),a894),a894)),f317(f317(f8(f905(x103573,f904(x103572,x103573)),f905(x103573,f905(f905(f904(x103572,x103573),a894),a894)),x103572),f317(f8(f904(x103572,x103573),f905(f905(f904(x103572,x103573),a894),a894),x103573),f319(f904(x103572,x103573)))),f242(x103572,x103573)))),x103575)),x103576),x103577)) % 199.88/201.00 [10367]P1(f317(f317(f319(f904(x103671,x103672)),f317(f317(f242(x103671,x103672),x103673),x103674)),f317(f317(f279(x103671,x103675,x103672),x103676),x103677)))+~P1(f317(f317(f243(x103671,x103675,x103672,f317(f317(f7(x103671,f905(f904(x103671,x103675),a894),f905(x103675,a894)),f317(f317(f8(f905(x103675,f905(f905(f904(x103671,x103675),a894),a894)),f905(f905(f904(x103671,x103675),a894),f905(x103675,a894)),x103671),f7(x103675,f905(f904(x103671,x103675),a894),a894)),f317(f317(f8(f905(x103675,f904(x103671,x103675)),f905(x103675,f905(f905(f904(x103671,x103675),a894),a894)),x103671),f317(f8(f904(x103671,x103675),f905(f905(f904(x103671,x103675),a894),a894),x103675),f319(f904(x103671,x103675)))),f242(x103671,x103675)))),x103676),f317(f317(f7(x103675,f905(f904(x103675,x103672),a894),f905(x103672,a894)),f317(f317(f8(f905(x103672,f905(f905(f904(x103675,x103672),a894),a894)),f905(f905(f904(x103675,x103672),a894),f905(x103672,a894)),x103675),f7(x103672,f905(f904(x103675,x103672),a894),a894)),f317(f317(f8(f905(x103672,f904(x103675,x103672)),f905(x103672,f905(f905(f904(x103675,x103672),a894),a894)),x103675),f317(f8(f904(x103675,x103672),f905(f905(f904(x103675,x103672),a894),a894),x103672),f319(f904(x103675,x103672)))),f242(x103675,x103672)))),x103677)),x103673),x103674)) % 199.88/201.00 [10299]~P145(x102992)+E(f317(f317(f6(x102991,x102992),f317(f317(f7(x102991,f905(x102993,a894),x102992),f317(f317(f8(f905(x102993,x102992),f905(f905(x102993,a894),x102992),x102991),f6(x102993,x102992)),f317(f317(f7(x102991,f905(x102993,x102992),f905(x102993,x102992)),f317(f317(f8(f905(x102992,x102992),f905(f905(x102993,x102992),f905(x102993,x102992)),x102991),f8(x102992,x102992,x102993)),f317(f317(f8(x102992,f905(x102992,x102992),x102991),f75(x102992)),x102994))),x102995))),x102996)),x102997),f317(f317(f75(x102992),f317(f317(f6(x102991,x102992),x102994),x102997)),f317(f317(f6(x102993,x102992),x102995),x102996))) % 199.88/201.00 [9374]~P19(x93747,x93741,x93743,x93748)+E(f317(f67(x93741,x93741,x93742,f317(x93743,x93744)),f317(f67(x93741,x93741,x93742,f317(x93743,x93745)),x93746)),f317(f67(x93741,x93741,x93742,f317(x93743,x93745)),f317(f67(x93741,x93741,x93742,f317(x93743,x93744)),x93746))) % 199.88/201.00 [10362]E(f317(f317(f242(x103621,x103622),f317(x103623,f511(x103624,x103625,x103623,x103626,x103627,x103628,x103622,x103621))),f317(x103625,f512(x103624,x103625,x103623,x103626,x103627,x103628,x103622,x103621))),x103628)+~P1(f317(f317(f319(f904(x103621,x103622)),x103628),f317(f300(f904(x103627,x103626),f904(x103621,x103622),f248(x103627,x103621,x103626,x103622,x103623,x103625)),x103624))) % 199.88/201.00 [10380]~P1(f317(f317(f319(f904(x103808,x103807)),x103806),f317(f300(f904(x103801,x103802),f904(x103808,x103807),f248(x103801,x103808,x103802,x103807,x103805,x103804)),x103803)))+P1(f317(f317(f319(f904(x103801,x103802)),f317(f317(f242(x103801,x103802),f511(x103803,x103804,x103805,x103802,x103801,x103806,x103807,x103808)),f512(x103803,x103804,x103805,x103802,x103801,x103806,x103807,x103808))),x103803)) % 199.88/201.00 [9826]P1(f317(f317(f319(f904(f904(x98261,x98262),f904(x98261,x98262))),f317(f317(f242(f904(x98261,x98262),f904(x98261,x98262)),f317(f317(f242(x98261,x98262),x98263),x98264)),f317(f317(f242(x98261,x98262),x98265),x98266))),f309(x98261,x98262,x98267,x98268)))+~P1(f317(f317(f319(f904(x98261,x98261)),f317(f317(f242(x98261,x98261),x98263),x98265)),x98267)) % 199.88/201.00 [10351]E(f317(f132(x103511,x103512,f317(f7(x103512,x103511,x103511),x103513),f317(x103514,x103515)),x103516),f317(x103514,f317(f132(x103517,x103512,f317(f7(x103512,x103517,x103517),x103518),x103515),x103516)))+P1(f317(f317(f319(x103512),f710(x103515,x103518,x103514,x103513,x103517,x103511,x103516,x103512)),f317(f162(x103512),x103516))) % 199.88/201.00 [10370]~E(f317(f67(x103701,x103701,x103707,f317(x103703,f710(x103705,x103708,x103704,x103703,x103707,x103701,x103706,x103702))),x103704),f317(f67(x103707,x103701,x103707,x103704),f317(x103708,f710(x103705,x103708,x103704,x103703,x103707,x103701,x103706,x103702))))+E(f317(f132(x103701,x103702,f317(f7(x103702,x103701,x103701),x103703),f317(x103704,x103705)),x103706),f317(x103704,f317(f132(x103707,x103702,f317(f7(x103702,x103707,x103707),x103708),x103705),x103706))) % 199.88/201.00 [8587]E(f317(x85871,f317(x85872,x85873)),f317(x85874,f317(x85875,x85873)))+~E(f317(f67(x85876,x85877,x85878,x85871),x85872),f317(f67(x85879,x85877,x85878,x85874),x85875)) % 199.88/201.00 [10208]P1(f317(f317(f319(f904(x102081,x102082)),f317(f317(f242(x102081,x102082),f317(x102083,x102084)),f317(x102085,x102086))),f317(f300(f904(x102087,x102088),f904(x102081,x102082),f248(x102087,x102081,x102088,x102082,x102083,x102085)),x102089)))+~P1(f317(f317(f319(f904(x102087,x102088)),f317(f317(f242(x102087,x102088),x102084),x102086)),x102089)) % 199.88/201.00 [8882]~E(f317(x88824,f317(x88825,x88826)),f317(x88829,f317(x888210,x888211)))+E(f317(f317(f67(x88821,x88822,x88823,x88824),x88825),x88826),f317(f317(f67(x88827,x88822,x88828,x88829),x888210),x888211)) % 199.88/201.00 [4646]~P108(x46461)+~P103(x46461)+E(f224(x46461),f91(x46461)) % 199.88/201.00 [4647]~P108(x46471)+~P104(x46471)+E(f229(x46471),f92(x46471)) % 199.88/201.00 [4892]~P111(x48921)+~P93(x48921)+E(f317(f70(x48921),f317(f94(x48921),a87)),f72(x48921)) % 199.88/201.00 [5185]E(x51851,f2(a1))+E(f76(a1,x51851),f317(f73(a1),f72(a1)))+P1(f317(f317(f226(a1),f2(a1)),x51851)) % 199.88/201.00 [5390]E(x53901,f2(a1))+E(f76(a1,x53901),f72(a1))+~P1(f317(f317(f226(a1),f2(a1)),x53901)) % 199.88/201.00 [7452]~P39(x74521)+P1(f317(f28(a1),x74521))+~P1(f317(f28(a898),f317(f300(a1,a898,a95),x74521))) % 199.88/201.00 [9788]E(x97881,f178(f905(f904(a898,a898),a894)))+~P1(f317(f28(f904(a898,a898)),x97881))+P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f178(f905(f904(a898,a898),a894))),x97881)),a27)) % 199.88/201.00 [9949]E(x99491,f2(a898))+E(x99491,f317(a102,f2(a898)))+~P1(f317(f317(f226(a898),x99491),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/201.00 [10237]E(x102371,f2(a89))+E(f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a22,f317(f317(f30(a89),x102371),f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))),f72(a1)),f317(a22,x102371))+E(f40(a89,x102371,f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(a89)) % 199.88/201.00 [10085]E(x100851,f2(a89))+~E(f40(a89,x100851,f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(a89))+E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(a22,f317(f317(f30(a89),x100851),f317(f94(a89),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f317(a22,x100851)) % 199.88/201.00 [4727]~P57(x47271,x47272)+P43(x47271,x47272)+~P44(a894) % 199.88/201.00 [4656]~P144(x46561)+P27(x46561,x46562)+~E(x46562,f2(x46561)) % 199.88/201.00 [4657]~P108(x46571)+P13(x46571,x46572)+~E(x46572,f103(x46571)) % 199.88/201.00 [4666]~P111(x46661)+~E(x46662,f2(x46661))+E(f76(x46661,x46662),f2(x46661)) % 199.88/201.00 [4667]~P89(x46671)+~E(x46672,f2(x46671))+E(f76(x46671,x46672),f2(x46671)) % 199.88/201.00 [4675]~P144(x46752)+~P27(x46752,x46751)+E(x46751,f2(x46752)) % 199.88/201.00 [4720]~P111(x47202)+~E(f76(x47202,x47201),f2(x47202))+E(x47201,f2(x47202)) % 199.88/201.00 [4734]~P2(x47342)+~P2(x47341)+P2(f905(x47341,x47342)) % 199.88/201.00 [4735]~P2(x47352)+~P2(x47351)+P2(f903(x47351,x47352)) % 199.88/201.00 [4736]~P2(x47362)+~P2(x47361)+P2(f904(x47361,x47362)) % 199.88/201.00 [4737]~P6(x47372)+~P6(x47371)+P6(f184(x47371,x47372)) % 199.88/201.00 [4738]~P60(x47382)+~P60(x47381)+P60(f905(x47381,x47382)) % 199.88/201.00 [4739]~P60(x47392)+~P60(x47391)+P60(f903(x47391,x47392)) % 199.88/201.00 [4740]~P60(x47402)+~P60(x47401)+P60(f904(x47401,x47402)) % 199.88/201.00 [4741]~P105(x47412)+~P105(x47411)+P105(f904(x47411,x47412)) % 199.88/201.00 [4864]~P108(x48641)+~P13(x48641,x48642)+P13(x48641,f142(x48641,x48642)) % 199.88/201.00 [5112]~P6(x51122)+~P6(x51121)+P6(f40(a1,x51121,x51122)) % 199.88/201.00 [4677]~P79(x46771)+~E(x46772,f2(x46771))+E(f317(f73(x46771),x46772),x46772) % 199.88/201.00 [4692]~P128(x46921)+~E(x46922,f2(a1))+E(f317(f93(x46921),x46922),f2(x46921)) % 199.88/201.00 [4693]~P92(x46931)+~E(x46932,f2(a1))+E(f317(f93(x46931),x46932),f2(x46931)) % 199.88/201.00 [4717]~P76(x47171)+~E(f2(x47171),x47172)+E(f317(f73(x47171),x47172),f2(x47171)) % 199.88/201.00 [4718]~P85(x47181)+~E(x47182,f2(x47181))+E(f317(f70(x47181),x47182),f2(x47181)) % 199.88/201.00 [4719]~P76(x47191)+~E(x47192,f2(x47191))+E(f317(f73(x47191),x47192),f2(x47191)) % 199.88/201.00 [4743]~P79(x47432)+E(x47431,f2(x47432))+~E(f317(f73(x47432),x47431),x47431) % 199.88/201.00 [4745]E(x47451,f317(a95,x47452))+~E(x47451,f2(a898))+~E(x47452,f317(f90(a1),x47451)) % 199.88/201.00 [4746]E(f317(a95,x47461),x47462)+~E(x47462,f2(a898))+~E(x47461,f317(f90(a1),x47462)) % 199.88/201.00 [4750]~P92(x47502)+E(x47501,f2(a1))+~E(f317(f93(x47502),x47501),f2(x47502)) % 199.88/201.00 [4754]~P85(x47542)+E(x47541,f2(x47542))+~E(f317(f70(x47542),x47541),f2(x47542)) % 199.88/201.00 [4755]~P76(x47552)+E(x47551,f2(x47552))+~E(f317(f73(x47552),x47551),f2(x47552)) % 199.88/201.00 [4756]~P76(x47561)+E(f2(x47561),x47562)+~E(f317(f73(x47561),x47562),f2(x47561)) % 199.88/201.00 [4939]~P108(x49391)+~P13(x49391,x49392)+P13(x49391,f317(f161(x49391),x49392)) % 199.88/201.00 [4966]~P1(x49662)+~P1(x49661)+P1(f317(f317(a315,x49661),x49662)) % 199.88/201.00 [5004]~E(f72(a898),f2(a898))+E(f317(f29(x50041),x50042),f2(a898))+~P1(f317(f28(x50041),x50042)) % 199.88/201.00 [5040]~P115(x50401)+~P145(x50401)+E(f317(f317(f234(x50401),f2(x50401)),f317(a102,x50402)),f2(x50401)) % 199.88/201.00 [5080]~P108(x50801)+P13(x50801,f129(x50801,x50802))+~P1(f317(f28(x50801),x50802)) % 199.88/201.00 [5081]~P108(x50811)+P13(x50811,f703(x50812,x50811))+~P1(f317(f28(x50811),x50812)) % 199.88/201.00 [5104]~P108(x51041)+E(f317(f162(x51041),f129(x51041,x51042)),x51042)+~P1(f317(f28(x51041),x51042)) % 199.88/201.00 [5105]~P108(x51051)+E(f317(f162(x51051),f703(x51052,x51051)),x51052)+~P1(f317(f28(x51051),x51052)) % 199.88/201.00 [5134]P1(x51341)+P1(x51342)+~P1(f317(f317(a316,x51342),x51341)) % 199.88/201.00 [5147]E(x51471,f178(f905(x51472,a894)))+~E(f317(f29(x51472),x51471),f2(a898))+~P1(f317(f28(x51472),x51471)) % 199.88/201.00 [5152]P1(x51521)+~P1(x51522)+~P1(f317(f317(a320,x51522),x51521)) % 199.88/201.00 [5203]~P75(x52031)+E(f317(f70(x52031),x52032),x52032)+P1(f317(f317(f226(x52031),x52032),f2(x52031))) % 199.88/201.00 [5263]~P60(x52632)+~P1(f317(f51(x52632),x52631))+P1(f317(x52631,f704(x52631,x52632))) % 199.88/201.00 [5264]~P60(x52642)+~P1(f317(f51(x52642),x52641))+P1(f317(x52641,f711(x52641,x52642))) % 199.88/201.00 [5305]E(x53051,f103(x53052))+P1(f317(f127(x53052),f104(x53052,x53051)))+~P1(f317(f127(x53052),x53051)) % 199.88/201.00 [5310]~P108(x53101)+~P1(f317(f28(x53101),x53102))+P1(f317(f127(x53101),f129(x53101,x53102))) % 199.88/201.00 [5311]~P108(x53111)+~P1(f317(f28(x53111),x53112))+P1(f317(f127(x53111),f703(x53112,x53111))) % 199.88/201.00 [5316]~P128(x53161)+E(f317(f90(x53161),f317(a95,x53162)),f317(f93(x53161),x53162))+P1(f317(f317(f226(a1),x53162),f2(a1))) % 199.88/201.00 [5337]P7(x53372,x53371)+E(f317(x53371,f433(x53371)),f317(x53371,f474(x53371)))+P1(f317(f317(x53371,f433(x53371)),f474(x53371))) % 199.88/201.00 [5350]E(f317(f90(a1),f856(x53501,x53502)),x53501)+P1(f317(x53502,f317(a95,x53501)))+~P1(f317(x53502,f2(a898))) % 199.88/201.00 [5363]~P60(x53631)+~P1(f317(x53632,f717(x53632,x53631)))+P1(f317(f52(x53631),x53632)) % 199.88/201.00 [5364]~P60(x53641)+~P1(f317(x53642,f727(x53642,x53641)))+P1(f317(f52(x53641),x53642)) % 199.88/201.00 [5400]~P111(x54001)+~E(f76(x54001,x54002),f317(f73(x54001),f72(x54001)))+P1(f317(f317(f226(x54001),x54002),f2(x54001))) % 199.88/201.00 [5475]~E(x54752,f2(a1))+E(f205(x54751,x54752),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f226(a1),x54752),f2(a1))) % 199.88/201.00 [5476]~E(x54761,f2(a1))+E(f205(x54761,x54762),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f226(a1),x54762),f2(a1))) % 199.88/201.00 [5529]E(f317(f90(a1),f856(x55291,x55292)),x55291)+P1(f317(x55292,f317(a95,x55291)))+P1(f317(f317(f226(a1),x55291),f2(a1))) % 199.88/201.00 [5597]~P111(x55971)+E(f76(x55971,x55972),f317(f73(x55971),f72(x55971)))+~P1(f317(f317(f226(x55971),x55972),f2(x55971))) % 199.88/201.00 [5598]~P85(x55981)+E(f317(f70(x55981),x55982),f317(f73(x55981),x55982))+~P1(f317(f317(f225(x55981),x55982),f2(x55981))) % 199.88/201.00 [5599]~P85(x55991)+E(f317(f70(x55991),x55992),f317(f73(x55991),x55992))+~P1(f317(f317(f226(x55991),x55992),f2(x55991))) % 199.88/201.00 [5600]~P75(x56001)+E(f317(f70(x56001),x56002),f317(f73(x56001),x56002))+~P1(f317(f317(f226(x56001),x56002),f2(x56001))) % 199.88/201.00 [5700]~P1(f317(x57001,f856(x57002,x57001)))+P1(f317(x57001,f317(a95,x57002)))+~P1(f317(x57001,f2(a898))) % 199.88/201.00 [5707]E(x57071,f2(a898))+E(f317(a102,f434(x57072,x57071)),x57071)+~P1(f317(f317(f226(a898),x57071),f317(a102,x57072))) % 199.88/201.00 [5711]P7(x57111,x57112)+~E(f317(x57112,f433(x57112)),f317(x57112,f474(x57112)))+~P1(f317(f317(x57112,f433(x57112)),f474(x57112))) % 199.88/201.00 [5729]~P108(x57291)+P13(x57291,x57292)+P1(f317(f317(f225(a898),f686(x57292,x57291)),f687(x57292,x57291))) % 199.88/201.00 [5730]~P108(x57301)+P13(x57301,x57302)+P1(f317(f317(f225(a898),f694(x57302,x57301)),f698(x57302,x57301))) % 199.88/201.00 [5816]~P85(x58161)+~E(x58162,f2(x58161))+P1(f317(f317(f225(x58161),f317(f70(x58161),x58162)),f2(x58161))) % 199.88/201.00 [5913]~P1(f317(x59131,f856(x59132,x59131)))+P1(f317(x59131,f317(a95,x59132)))+P1(f317(f317(f226(a1),x59132),f2(a1))) % 199.88/201.00 [5938]~P1(f317(x59381,f317(a95,x59382)))+P1(f317(x59381,f2(a898)))+~P1(f317(f317(f226(a1),x59382),f2(a1))) % 199.88/201.00 [6292]~P111(x62921)+~P1(f317(f317(f226(x62921),x62922),f2(x62921)))+P1(f317(f317(f226(x62921),f76(x62921,x62922)),f2(x62921))) % 199.88/201.00 [6412]~P111(x64121)+P1(f317(f317(f225(x64121),f317(f93(x64121),x64122)),f2(x64121)))+~P1(f317(f317(f225(a1),x64122),f2(a1))) % 199.88/201.00 [6413]~P111(x64131)+P1(f317(f317(f226(x64131),f317(f93(x64131),x64132)),f2(x64131)))+~P1(f317(f317(f226(a1),x64132),f2(a1))) % 199.88/201.00 [6422]~P85(x64222)+E(x64221,f2(x64222))+~P1(f317(f317(f225(x64222),f317(f70(x64222),x64221)),f2(x64222))) % 199.88/201.00 [6500]~P128(x65001)+~P1(f317(f317(f319(x65001),x65002),f100(x65001)))+P1(f317(f317(f319(x65001),f317(f73(x65001),x65002)),f100(x65001))) % 199.88/201.00 [6532]~P111(x65321)+~P1(f317(f317(f226(x65321),f76(x65321,x65322)),f2(x65321)))+P1(f317(f317(f226(x65321),x65322),f2(x65321))) % 199.88/201.00 [6710]~P111(x67102)+~P1(f317(f317(f225(x67102),f317(f93(x67102),x67101)),f2(x67102)))+P1(f317(f317(f225(a1),x67101),f2(a1))) % 199.88/201.00 [6711]~P111(x67112)+~P1(f317(f317(f226(x67112),f317(f93(x67112),x67111)),f2(x67112)))+P1(f317(f317(f226(a1),x67111),f2(a1))) % 199.88/201.00 [7226]~P79(x72261)+~P1(f317(f317(f225(x72261),x72262),f2(x72261)))+P1(f317(f317(f225(x72261),f317(f317(f74(x72261),x72262),x72262)),f2(x72261))) % 199.88/201.00 [7228]~P111(x72281)+~P1(f317(f317(f226(x72281),x72282),f2(x72281)))+P1(f317(f317(f226(x72281),f317(f317(f74(x72281),x72282),x72282)),f2(x72281))) % 199.88/201.00 [7229]~P79(x72291)+~P1(f317(f317(f226(x72291),x72292),f2(x72291)))+P1(f317(f317(f226(x72291),f317(f317(f74(x72291),x72292),x72292)),f2(x72291))) % 199.88/201.00 [7800]~P79(x78001)+~P1(f317(f317(f225(x78001),f317(f317(f74(x78001),x78002),x78002)),f2(x78001)))+P1(f317(f317(f225(x78001),x78002),f2(x78001))) % 199.88/201.00 [7801]~P111(x78011)+~P1(f317(f317(f226(x78011),f317(f317(f74(x78011),x78012),x78012)),f2(x78011)))+P1(f317(f317(f226(x78011),x78012),f2(x78011))) % 199.88/201.00 [7802]~P79(x78021)+~P1(f317(f317(f226(x78021),f317(f317(f74(x78021),x78022),x78022)),f2(x78021)))+P1(f317(f317(f226(x78021),x78022),f2(x78021))) % 199.88/201.00 [4791]~E(x47912,f2(a898))+~E(x47911,f2(a898))+E(f317(f317(f74(a898),x47911),x47912),f2(a898)) % 199.88/201.00 [4792]~E(x47922,f72(a898))+~E(x47921,f72(a898))+E(f317(f317(f75(a898),x47921),x47922),f72(a898)) % 199.88/201.00 [4793]~E(x47932,f72(a1))+~E(x47931,f72(a1))+E(f317(f317(f75(a1),x47931),x47932),f72(a1)) % 199.88/201.00 [4848]~P3(x48482)+E(x48481,f2(x48482))+E(f317(f317(f30(x48482),x48481),x48481),f72(x48482)) % 199.88/201.00 [4849]~P122(x48492)+E(x48491,f2(x48492))+E(f317(f317(f281(x48492),x48491),x48491),f72(x48492)) % 199.88/201.00 [4850]~P123(x48502)+E(x48501,f2(x48502))+E(f317(f317(f281(x48502),x48501),x48501),f72(x48502)) % 199.88/201.00 [4868]~P79(x48681)+~E(x48682,f2(x48681))+E(f317(f317(f74(x48681),x48682),x48682),f2(x48681)) % 199.88/201.00 [4871]~P142(x48711)+~E(x48712,f72(x48711))+E(f317(f317(f75(x48711),x48712),x48712),f72(x48711)) % 199.88/201.00 [4872]~P123(x48721)+~E(x48722,f2(x48721))+E(f317(f317(f281(x48721),x48722),x48722),f2(x48721)) % 199.88/201.00 [4917]~E(x49172,f2(a898))+~E(x49171,f2(a898))+E(f317(f73(a1),f317(f90(a1),x49171)),f317(f90(a1),x49172)) % 199.88/201.00 [4936]E(x49361,f72(a898))+E(x49362,f2(a898))+~E(f317(f317(f75(a898),x49362),x49361),x49362) % 199.88/201.00 [4948]E(x49481,f2(a898))+E(x49482,f2(a898))+~E(f317(f317(f75(a898),x49482),x49481),f2(a898)) % 199.88/201.00 [4975]~E(x49752,f2(a898))+~E(x49751,f317(a102,f2(a898)))+E(f317(f317(f74(a898),x49751),x49752),f317(a102,f2(a898))) % 199.88/201.00 [4976]~E(x49761,f2(a898))+~E(x49762,f317(a102,f2(a898)))+E(f317(f317(f74(a898),x49761),x49762),f317(a102,f2(a898))) % 199.88/201.00 [4983]E(x49831,f72(a1))+E(x49832,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49831),x49832),f72(a1)) % 199.88/201.00 [4984]E(x49841,f72(a1))+E(x49842,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49842),x49841),f72(a1)) % 199.88/201.00 [4985]E(x49851,f72(a1))+E(x49851,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49852),x49851),f72(a1)) % 199.88/201.00 [4987]E(x49871,f72(a1))+E(x49871,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49871),x49872),f72(a1)) % 199.88/201.00 [5012]~P79(x50122)+E(x50121,f2(x50122))+~E(f317(f317(f74(x50122),x50121),x50121),f2(x50122)) % 199.88/201.00 [5018]~E(x50181,f317(f94(a1),a87))+~E(x50182,f317(f94(a1),a87))+E(f317(f317(f75(a1),x50181),x50182),f72(a1)) % 199.88/201.00 [5029]E(x50291,f2(a898))+E(x50292,f2(a898))+~E(f317(f317(f74(a898),x50292),x50291),f317(a102,f2(a898))) % 199.88/201.00 [5039]~P93(x50391)+~P61(x50391)+E(f317(f317(f281(x50391),x50392),f317(f94(x50391),a77)),f2(x50391)) % 199.88/201.00 [5046]~P142(x50461)+~E(x50462,f317(f73(x50461),f72(x50461)))+E(f317(f317(f75(x50461),x50462),x50462),f72(x50461)) % 199.88/201.00 [5051]~P6(x50512)+~P6(x50511)+P6(f317(f317(f74(a1),x50511),x50512)) % 199.88/201.00 [5052]~P6(x50522)+~P6(x50521)+P6(f317(f317(f75(a1),x50521),x50522)) % 199.88/201.00 [5053]~P6(x50532)+~P6(x50531)+P6(f317(f317(f30(a1),x50531),x50532)) % 199.88/201.00 [5055]~E(x50552,f2(a1))+E(x50551,f2(a1))+E(f41(x50551,x50552),f317(f317(f242(a1,a1),f2(a1)),x50551)) % 199.88/201.00 [5078]~E(x50782,f317(a102,f2(a898)))+~E(x50781,f317(a102,f2(a898)))+E(f317(f317(f75(a898),x50781),x50782),f317(a102,f2(a898))) % 199.88/201.00 [5095]E(x50951,f2(a898))+E(x50952,f317(a102,f2(a898)))+~E(f317(f317(f234(a898),x50952),x50951),f317(a102,f2(a898))) % 199.88/201.00 [5096]E(x50961,f2(a898))+E(x50961,f317(a102,f2(a898)))+~E(f317(f317(f74(a898),x50962),x50961),f317(a102,f2(a898))) % 199.88/201.00 [5097]E(x50971,f2(a898))+E(x50971,f317(a102,f2(a898)))+~E(f317(f317(f74(a898),x50971),x50972),f317(a102,f2(a898))) % 199.88/201.00 [5106]~P93(x51061)+~P61(x51061)+E(f317(f317(f281(x51061),x51062),f317(f94(x51061),a87)),f317(f73(x51061),x51062)) % 199.88/201.00 [5126]E(x51261,f317(a95,x51262))+~E(x51261,f2(a898))+P1(f317(f317(f225(a1),f2(a1)),x51262)) % 199.88/201.00 [5127]E(f317(a95,x51271),x51272)+~E(x51272,f2(a898))+P1(f317(f317(f225(a1),f2(a1)),x51271)) % 199.88/201.00 [5143]E(x51431,f317(a102,f2(a898)))+E(x51432,f317(a102,f2(a898)))+~E(f317(f317(f74(a898),x51431),x51432),f317(a102,f2(a898))) % 199.88/201.00 [5154]~E(x51541,f317(a95,x51542))+E(x51541,f2(a898))+P1(f317(f317(f225(a1),f2(a1)),x51542)) % 199.88/201.00 [5155]~E(f317(a95,x51552),x51551)+E(x51551,f2(a898))+P1(f317(f317(f225(a1),f2(a1)),x51552)) % 199.88/201.00 [5178]~P108(x51781)+E(f317(f57(x51781,f229(x51781)),x51782),f14(x51781,x51782))+~P1(f317(f28(x51781),x51782)) % 199.88/201.00 [5179]~P108(x51791)+E(f317(f57(x51791,f224(x51791)),x51792),f15(x51791,x51792))+~P1(f317(f28(x51791),x51792)) % 199.88/201.00 [5180]~P98(x51801)+E(f317(f57(x51801,f91(x51801)),x51802),f13(x51801,x51802))+~P1(f317(f28(x51801),x51802)) % 199.88/201.00 [5181]~P98(x51811)+E(f317(f57(x51811,f92(x51811)),x51812),f10(x51811,x51812))+~P1(f317(f28(x51811),x51812)) % 199.88/201.00 [5258]E(x52581,x52582)+~E(f317(f317(f23(a898),x52582),x52581),f2(a898))+~E(f317(f317(f23(a898),x52581),x52582),f2(a898)) % 199.88/201.00 [5275]P6(x52751)+~P39(x52752)+~P1(f317(f317(f319(a1),x52751),x52752)) % 199.88/201.00 [5306]~P111(x53061)+~E(f76(x53061,x53062),f72(x53061))+P1(f317(f317(f226(x53061),f2(x53061)),x53062)) % 199.88/201.00 [5317]~P93(x53171)+E(f317(f90(x53171),f317(f94(a898),x53172)),f317(f94(x53171),x53172))+P1(f317(a183,f317(f94(a1),x53172))) % 199.88/201.00 [5322]~P43(x53221,x53222)+P44(a894)+P1(f317(f28(f904(x53221,x53221)),x53222)) % 199.88/201.00 [5392]~P108(x53921)+E(f317(f57(x53921,f229(x53921)),x53922),f11(x53921,f229(x53921),x53922))+~P1(f317(f28(x53921),x53922)) % 199.88/201.00 [5393]~P108(x53931)+E(f317(f57(x53931,f224(x53931)),x53932),f12(x53931,f224(x53931),x53932))+~P1(f317(f28(x53931),x53932)) % 199.88/201.00 [5407]E(x54071,x54072)+P1(f317(f317(f226(a898),x54072),x54071))+P1(f317(f317(f226(a898),x54071),x54072)) % 199.88/201.00 [5408]E(x54081,x54082)+P1(f317(f317(f226(a1),x54082),x54081))+P1(f317(f317(f226(a1),x54081),x54082)) % 199.88/201.00 [5462]~P93(x54621)+E(f317(f90(x54621),f317(f94(a898),x54622)),f2(x54621))+~P1(f317(a183,f317(f94(a1),x54622))) % 199.88/201.00 [5465]~E(x54652,f317(a95,x54651))+E(x54651,f317(f90(a1),x54652))+~P1(f317(f317(f225(a1),f2(a1)),x54651)) % 199.88/201.00 [5466]~E(f317(a95,x54661),x54662)+E(x54661,f317(f90(a1),x54662))+~P1(f317(f317(f225(a1),f2(a1)),x54661)) % 199.88/201.00 [5467]~E(x54671,f317(a95,x54672))+E(f317(f90(a1),x54671),x54672)+~P1(f317(f317(f225(a1),f2(a1)),x54672)) % 199.88/201.00 [5477]E(x54771,f317(a95,x54772))+~E(x54772,f317(f90(a1),x54771))+~P1(f317(f317(f225(a1),f2(a1)),x54772)) % 199.88/201.00 [5478]E(f317(a95,x54781),x54782)+~E(x54781,f317(f90(a1),x54782))+~P1(f317(f317(f225(a1),f2(a1)),x54781)) % 199.88/201.00 [5509]~P112(x55092)+E(x55091,f2(x55092))+~P1(f317(f317(f277(x55092),f2(x55092)),x55091)) % 199.88/201.00 [5520]~P85(x55202)+E(x55201,f2(x55202))+P1(f317(f317(f226(x55202),f2(x55202)),f317(f70(x55202),x55201))) % 199.88/201.00 [5584]~P111(x55841)+E(f76(x55841,x55842),f72(x55841))+~P1(f317(f317(f226(x55841),f2(x55841)),x55842)) % 199.88/201.00 [5590]~P93(x55901)+E(f317(f90(x55901),f317(f94(a898),x55902)),f2(x55901))+P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x55902))) % 199.88/201.00 [5601]~P85(x56011)+E(f317(f70(x56011),x56012),x56012)+~P1(f317(f317(f225(x56011),f2(x56011)),x56012)) % 199.88/201.00 [5602]~P85(x56021)+E(f317(f70(x56021),x56022),x56022)+~P1(f317(f317(f226(x56021),f2(x56021)),x56022)) % 199.88/201.00 [5611]E(x56111,f2(a898))+~E(f129(a898,f317(f292(a898,x56112),x56111)),f103(a898))+P1(f317(f317(f225(a898),x56111),x56112)) % 199.88/201.00 [5621]~P77(x56211)+E(f317(f317(f6(x56211,x56211),f5(x56211)),f317(f162(x56211),x56212)),f317(f155(x56211),x56212))+~P1(f317(f127(x56211),x56212)) % 199.88/201.00 [5624]~P128(x56241)+E(f317(f90(x56241),f317(a95,x56242)),f317(f93(x56241),x56242))+~P1(f317(f317(f225(a1),f2(a1)),x56242)) % 199.88/201.00 [5651]E(x56511,x56512)+P1(f317(f317(f226(a898),x56511),x56512))+~P1(f317(f317(f225(a898),x56511),x56512)) % 199.88/201.00 [5652]E(x56521,x56522)+P1(f317(f317(f226(a1),x56521),x56522))+~P1(f317(f317(f225(a1),x56521),x56522)) % 199.88/201.00 [5655]E(x56551,f72(a1))+~E(f317(f317(f75(a1),x56552),x56551),f72(a1))+~P1(f317(f317(f226(a1),f2(a1)),x56552)) % 199.88/201.00 [5656]E(x56561,f72(a1))+~E(f317(f317(f75(a1),x56561),x56562),f72(a1))+~P1(f317(f317(f226(a1),f2(a1)),x56561)) % 199.88/201.00 [5697]~P39(x56972)+P1(f317(f317(f225(a1),f2(a1)),x56971))+~P1(f317(f317(f319(a1),x56971),x56972)) % 199.88/201.00 [5716]~P57(x57161,x57162)+P36(x57161,x57162)+~P1(f317(f28(f904(x57161,x57161)),x57162)) % 199.88/201.00 [5718]~P57(x57181,x57182)+P43(x57181,x57182)+~P1(f317(f28(f904(x57181,x57181)),x57182)) % 199.88/201.00 [5760]E(x57601,f178(f905(x57602,a894)))+~P1(f317(f28(x57602),x57601))+P1(f317(f317(f226(a898),f2(a898)),f317(f29(x57602),x57601))) % 199.88/201.00 [5787]~P1(f317(x57871,x57872))+P1(f317(x57871,f2(a898)))+P1(f317(f317(f226(a898),f621(x57872,x57871)),x57872)) % 199.88/201.00 [5810]E(x58101,f2(a898))+~E(f317(f155(a898),x58102),f2(a898))+~P1(f317(f317(f319(a898),x58101),f317(f162(a898),x58102))) % 199.88/201.00 [5878]E(x58781,x58782)+~P1(f317(f317(f225(a898),x58782),x58781))+~P1(f317(f317(f225(a898),x58781),x58782)) % 199.88/201.00 [5879]E(x58791,x58792)+~P1(f317(f317(f225(a1),x58792),x58791))+~P1(f317(f317(f225(a1),x58791),x58792)) % 199.88/201.00 [5888]E(x58881,x58882)+~P1(f317(f317(f277(a898),x58882),x58881))+~P1(f317(f317(f277(a898),x58881),x58882)) % 199.88/201.00 [5890]E(f317(f29(x58901),x58902),f2(a898))+~P1(f317(f28(x58901),x58902))+P1(f317(f317(f319(x58901),f712(x58902,x58901)),x58902)) % 199.88/201.00 [5899]E(f45(x58991,x58992),f41(x58991,x58992))+P1(f317(f317(f225(a1),f2(a1)),x58991))+~P1(f317(f317(f226(a1),f2(a1)),x58992)) % 199.88/201.00 [5925]~P1(f317(x59251,f852(x59251)))+P1(f317(x59251,f317(a95,x59252)))+~P1(f317(f317(f225(a1),f2(a1)),x59252)) % 199.88/201.00 [5928]P1(f317(f317(f225(a898),x59281),f602(x59282)))+~P1(f317(f28(a898),x59282))+~P1(f317(f317(f319(a898),x59281),x59282)) % 199.88/201.00 [5929]P1(f317(f317(f226(a898),x59291),f587(x59292)))+~P1(f317(f28(a898),x59292))+~P1(f317(f317(f319(a898),x59291),x59292)) % 199.88/201.00 [5960]E(x59601,x59602)+~P1(f317(f317(f226(a898),x59601),f317(a102,x59602)))+P1(f317(f317(f226(a898),x59601),x59602)) % 199.88/201.00 [5997]E(x59971,f317(a102,x59972))+~P1(f317(f317(f225(a898),x59971),f317(a102,x59972)))+P1(f317(f317(f225(a898),x59971),x59972)) % 199.88/201.00 [6013]P1(f317(x60131,f853(x60131)))+~P1(f317(x60131,f317(a95,x60132)))+~P1(f317(f317(f225(a1),f2(a1)),x60132)) % 199.88/201.00 [6029]~P1(f317(x60291,x60292))+~P1(f317(f317(f225(a1),f2(a1)),x60292))+P1(f317(x60291,f317(f90(a1),f799(x60291)))) % 199.88/201.00 [6040]~P85(x60402)+~E(x60401,f2(x60402))+~P1(f317(f317(f226(x60402),f2(x60402)),f317(f70(x60402),x60401))) % 199.88/201.00 [6065]~P57(x60651,x60652)+P36(x60651,f317(f276(x60651,x60651),x60652))+~P1(f317(f28(f904(x60651,x60651)),x60652)) % 199.88/201.00 [6074]~P93(x60741)+E(f317(f90(x60741),f317(f94(a898),x60742)),f317(f94(x60741),x60742))+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x60742))) % 199.88/201.00 [6077]E(f317(a102,x60771),x60772)+~P1(f317(f317(f226(a898),x60771),x60772))+P1(f317(f317(f226(a898),f317(a102,x60771)),x60772)) % 199.88/201.00 [6093]E(f317(f317(f30(a1),x60931),x60932),f2(a1))+~P1(f317(f317(f225(a1),x60931),f2(a1)))+~P1(f317(f317(f226(a1),x60932),x60931)) % 199.88/201.00 [6105]E(f40(a1,x61051,x61052),x61051)+~P1(f317(f317(f225(a1),x61051),f2(a1)))+~P1(f317(f317(f226(a1),x61052),x61051)) % 199.88/201.00 [6119]E(f42(x61191,x61192),f41(x61191,x61192))+~P1(f317(f317(f225(a1),f2(a1)),x61191))+~P1(f317(f317(f225(a1),f2(a1)),x61192)) % 199.88/201.00 [6129]E(f317(f317(f30(a1),x61291),x61292),f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),x61291))+~P1(f317(f317(f226(a1),x61291),x61292)) % 199.88/201.00 [6140]E(f40(a898,f317(f94(a898),x61401),f317(f94(a898),x61402)),f317(f94(a898),x61401))+P1(f317(a183,f317(f94(a1),x61401)))+~P1(f317(a183,f317(f94(a1),x61402))) % 199.88/201.00 [6142]E(f40(a1,x61421,x61422),x61421)+~P1(f317(f317(f225(a1),f2(a1)),x61421))+~P1(f317(f317(f226(a1),x61421),x61422)) % 199.88/201.00 [6143]E(x61431,x61432)+~P1(f317(f317(f226(a898),x61431),f317(a102,x61432)))+~P1(f317(f317(f225(a898),x61432),x61431)) % 199.88/201.00 [6157]~P79(x61571)+~P1(f317(f317(f225(x61571),x61572),f2(x61571)))+P1(f317(f317(f225(x61571),x61572),f317(f73(x61571),x61572))) % 199.88/201.00 [6158]~P111(x61581)+~P1(f317(f317(f226(x61581),x61582),f2(x61581)))+P1(f317(f317(f226(x61581),x61582),f317(f73(x61581),x61582))) % 199.88/201.00 [6167]~P5(x61671)+E(f317(f317(f58(x61671,x61671,f92(x61671)),f232(x61671)),x61672),f32(x61671,x61672))+~P1(f317(f28(x61671),x61672)) % 199.88/201.00 [6168]~P5(x61681)+E(f317(f317(f58(x61681,x61681,f91(x61681)),f178(x61681)),x61682),f31(x61681,x61682))+~P1(f317(f28(x61681),x61682)) % 199.88/201.00 [6185]~P111(x61851)+~P1(f317(f317(f225(a1),f2(a1)),x61852))+P1(f317(f317(f225(x61851),f2(x61851)),f317(f93(x61851),x61852))) % 199.88/201.00 [6186]~P110(x61861)+~P1(f317(f317(f226(a898),f2(a898)),x61862))+P1(f317(f317(f226(x61861),f2(x61861)),f317(f90(x61861),x61862))) % 199.88/201.00 [6187]~P111(x61871)+~P1(f317(f317(f226(a1),f2(a1)),x61872))+P1(f317(f317(f226(x61871),f2(x61871)),f317(f93(x61871),x61872))) % 199.88/201.00 [6190]~P6(x61902)+~P6(x61901)+E(f317(f300(a898,a1,f90(a1)),f293(a898,f317(a95,x61901),f317(a95,x61902))),f293(a1,x61901,x61902)) % 199.88/201.00 [6196]P1(f317(x61961,x61962))+~P1(f317(f317(f225(a1),f2(a1)),x61962))+~P1(f317(x61961,f317(f90(a1),f787(x61961)))) % 199.88/201.00 [6228]E(f317(f317(f74(a898),f317(f94(a898),x62281)),f317(f94(a898),x62282)),f317(f94(a898),x62281))+P1(f317(f317(f226(a1),x62281),a77))+~P1(f317(f317(f226(a1),x62282),a77)) % 199.88/201.00 [6232]~P111(x62321)+P1(f317(f317(f226(x62321),f2(x62321)),f76(x62321,x62322)))+~P1(f317(f317(f226(x62321),f2(x62321)),x62322)) % 199.88/201.00 [6246]~P67(x62461)+~P1(f317(f317(f225(x62461),x62462),f2(x62461)))+P1(f317(f317(f225(x62461),f2(x62461)),f317(f73(x62461),x62462))) % 199.88/201.00 [6247]~P67(x62471)+~P1(f317(f317(f226(x62471),x62472),f2(x62471)))+P1(f317(f317(f226(x62471),f2(x62471)),f317(f73(x62471),x62472))) % 199.88/201.00 [6250]E(x62501,f232(f905(x62502,a894)))+~E(f317(f29(x62502),x62501),f317(f29(x62502),f232(f905(x62502,a894))))+~P1(f317(f28(x62502),f232(f905(x62502,a894)))) % 199.88/201.00 [6276]~P1(f317(f317(f226(a898),f2(a898)),x62762))+~P1(f317(f317(f277(a898),x62761),x62762))+P1(f317(f317(f225(a898),x62761),x62762)) % 199.88/201.00 [6277]~P1(f317(f317(f226(a1),f2(a1)),x62772))+~P1(f317(f317(f277(a1),x62771),x62772))+P1(f317(f317(f225(a1),x62771),x62772)) % 199.88/201.00 [6284]~P79(x62841)+P1(f317(f317(f225(x62841),x62842),f2(x62841)))+~P1(f317(f317(f225(x62841),x62842),f317(f73(x62841),x62842))) % 199.88/201.00 [6285]~P111(x62851)+P1(f317(f317(f226(x62851),x62852),f2(x62851)))+~P1(f317(f317(f226(x62851),x62852),f317(f73(x62851),x62852))) % 199.88/201.00 [6294]~P93(x62941)+P1(f317(f317(f319(x62941),f317(f94(x62941),x62942)),f176(x62941)))+~P1(f317(f317(f225(a1),a77),x62942)) % 199.88/201.00 [6323]E(x63231,f2(a898))+~P1(f317(f317(f226(a898),x63231),f317(a102,x63232)))+P1(f317(f317(f226(a898),f434(x63232,x63231)),x63232)) % 199.88/201.00 [6326]~P150(x63262)+P149(x63261,f317(f317(f299(a893),f909(x63262)),f178(f905(a893,a894))))+P1(f317(f317(f319(a896),f540(x63261,x63262)),a906)) % 199.88/201.00 [6348]~P111(x63481)+~P1(f317(f317(f226(x63481),f2(x63481)),f76(x63481,x63482)))+P1(f317(f317(f226(x63481),f2(x63481)),x63482)) % 199.88/201.00 [6350]~E(f317(f94(a898),x63502),f317(f94(a898),x63501))+P1(f317(f317(f225(a1),f317(f94(a1),x63501)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x63502))) % 199.88/201.00 [6380]E(f317(f241(a1,a1),f45(x63801,x63802)),f317(f317(f30(a1),x63801),x63802))+~P1(f317(f317(f226(a1),x63801),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x63802)) % 199.88/201.00 [6420]E(f317(f246(a1,a1),f45(x64201,x64202)),f40(a1,x64201,x64202))+~P1(f317(f317(f226(a1),x64201),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x64202)) % 199.88/201.00 [6423]~P111(x64232)+~P1(f317(f317(f225(x64232),f2(x64232)),f317(f93(x64232),x64231)))+P1(f317(f317(f225(a1),f2(a1)),x64231)) % 199.88/201.00 [6424]~P110(x64242)+~P1(f317(f317(f226(x64242),f2(x64242)),f317(f90(x64242),x64241)))+P1(f317(f317(f226(a898),f2(a898)),x64241)) % 199.88/201.00 [6425]~P111(x64252)+~P1(f317(f317(f226(x64252),f2(x64252)),f317(f93(x64252),x64251)))+P1(f317(f317(f226(a1),f2(a1)),x64251)) % 199.88/201.00 [6428]E(f317(f241(a1,a1),f42(x64281,x64282)),f317(f317(f30(a1),x64281),x64282))+~P1(f317(f317(f225(a1),f2(a1)),x64282))+~P1(f317(f317(f226(a1),f2(a1)),x64281)) % 199.88/201.00 [6442]E(f317(f246(a1,a1),f42(x64421,x64422)),f40(a1,x64421,x64422))+~P1(f317(f317(f225(a1),f2(a1)),x64422))+~P1(f317(f317(f226(a1),f2(a1)),x64421)) % 199.88/201.00 [6458]~P67(x64581)+P1(f317(f317(f225(x64581),x64582),f2(x64581)))+~P1(f317(f317(f225(x64581),f2(x64581)),f317(f73(x64581),x64582))) % 199.88/201.00 [6459]~P67(x64591)+P1(f317(f317(f226(x64591),x64592),f2(x64591)))+~P1(f317(f317(f226(x64591),f2(x64591)),f317(f73(x64591),x64592))) % 199.88/201.00 [6485]P1(f317(f44(x64851,x64852),f45(x64851,x64852)))+~P1(f317(f317(f226(a1),x64851),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x64852)) % 199.88/201.00 [6499]~P1(f317(f317(f226(a898),f2(a898)),x64991))+~P1(f317(f317(f277(a898),x64992),x64991))+~P1(f317(f317(f226(a898),x64991),x64992)) % 199.88/201.00 [6512]P1(f317(f44(x65121,x65122),f42(x65121,x65122)))+~P1(f317(f317(f225(a1),f2(a1)),x65121))+~P1(f317(f317(f226(a1),f2(a1)),x65122)) % 199.88/201.00 [6555]~P67(x65551)+P1(f317(f317(f225(x65551),f317(f73(x65551),x65552)),f2(x65551)))+~P1(f317(f317(f225(x65551),f2(x65551)),x65552)) % 199.88/201.00 [6556]~P67(x65561)+P1(f317(f317(f226(x65561),f317(f73(x65561),x65562)),f2(x65561)))+~P1(f317(f317(f226(x65561),f2(x65561)),x65562)) % 199.88/201.00 [6577]E(f317(f317(f23(a898),f317(a95,x65771)),f317(a95,x65772)),f317(a95,f184(x65771,x65772)))+~P1(f317(f317(f225(a1),f2(a1)),x65772))+~P1(f317(f317(f225(a1),f2(a1)),x65771)) % 199.88/201.00 [6595]P1(f317(f317(f225(a1),f2(a1)),f184(x65951,x65952)))+~P1(f317(f317(f225(a1),f2(a1)),x65952))+~P1(f317(f317(f225(a1),f2(a1)),x65951)) % 199.88/201.00 [6632]~P1(f317(x66321,x66322))+P1(f317(x66321,f2(a898)))+P1(f317(x66321,f317(f317(f74(a898),f621(x66322,x66321)),f72(a898)))) % 199.88/201.00 [6717]E(f317(f94(a898),x67171),f317(f94(a898),x67172))+~P1(f317(f317(f225(a1),f317(f94(a1),x67172)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x67171))) % 199.88/201.00 [6731]~E(x67311,f2(a898))+~E(f652(x67312,x67311),f2(a898))+E(f317(f132(a898,a898,f74(a898),x67311),x67312),f2(a898)) % 199.88/201.00 [6755]~P1(f317(f28(x67551),f489(x67552,x67551)))+~P1(f317(f28(f905(x67551,a894)),x67552))+P1(f317(f28(x67551),f31(f905(x67551,a894),x67552))) % 199.88/201.00 [6761]E(x67611,x67612)+P1(f317(f317(f226(a1),x67611),x67612))+~P1(f317(f317(f226(a1),x67611),f317(f317(f74(a1),x67612),f72(a1)))) % 199.88/201.00 [6762]P1(f317(f317(f225(a898),f317(a95,x67621)),f317(a95,x67622)))+~P1(f317(f317(f225(a1),f2(a1)),x67622))+~P1(f317(f317(f225(a1),x67621),x67622)) % 199.88/201.00 [6763]P1(f317(f317(f225(a898),f317(a95,x67631)),f317(a95,x67632)))+~P1(f317(f317(f226(a1),f2(a1)),x67631))+~P1(f317(f317(f225(a1),x67631),x67632)) % 199.88/201.00 [6765]P1(f317(f317(f226(a898),f317(a95,x67651)),f317(a95,x67652)))+~P1(f317(f317(f225(a1),f2(a1)),x67651))+~P1(f317(f317(f226(a1),x67651),x67652)) % 199.88/201.00 [6766]P1(f317(f317(f226(a898),f317(a95,x67661)),f317(a95,x67662)))+~P1(f317(f317(f226(a1),f2(a1)),x67662))+~P1(f317(f317(f226(a1),x67661),x67662)) % 199.88/201.00 [6777]E(f40(a898,f317(a95,x67771),f317(a95,x67772)),f317(a95,f40(a1,x67771,x67772)))+~P1(f317(f317(f225(a1),f2(a1)),x67772))+~P1(f317(f317(f225(a1),f2(a1)),x67771)) % 199.88/201.00 [6801]~P67(x68011)+~P1(f317(f317(f225(x68011),f317(f73(x68011),x68012)),f2(x68011)))+P1(f317(f317(f225(x68011),f2(x68011)),x68012)) % 199.88/201.00 [6802]~P67(x68021)+~P1(f317(f317(f226(x68021),f317(f73(x68021),x68022)),f2(x68021)))+P1(f317(f317(f226(x68021),f2(x68021)),x68022)) % 199.88/201.00 [6817]~P1(f317(f317(f226(a1),a77),x68172))+~P1(f317(f317(f226(a1),x68171),x68172))+P1(f317(f317(f226(a898),f317(f94(a898),x68171)),f317(f94(a898),x68172))) % 199.88/201.00 [6911]~P1(f317(f317(f225(a1),f2(a1)),x69111))+P1(f317(f317(f226(a898),f317(a95,x69111)),x69112))+~P1(f317(f317(f226(a1),x69111),f317(f90(a1),x69112))) % 199.88/201.00 [6916]P1(f317(x69161,x69162))+~P1(f317(x69161,f317(a20,f794(x69161,x69162))))+~P1(f317(f317(f319(a898),x69162),f232(f905(a898,a894)))) % 199.88/201.00 [6927]E(x69271,f2(a1))+E(f40(a1,x69272,x69271),f2(a1))+E(f317(f317(f23(a1),f317(f73(a1),f317(f317(f30(a1),x69272),x69271))),f72(a1)),f317(f317(f30(a1),x69272),f317(f73(a1),x69271))) % 199.88/201.00 [6941]~P1(f317(f317(f225(a1),f2(a1)),x69411))+~P1(f317(f317(f226(a898),f317(a95,x69411)),x69412))+P1(f317(f317(f226(a1),x69411),f317(f90(a1),x69412))) % 199.88/201.00 [6977]~P1(f317(f317(f225(a898),f317(a95,x69771)),f317(a95,x69772)))+~P1(f317(f317(f225(a1),f2(a1)),x69772))+P1(f317(f317(f225(a1),x69771),x69772)) % 199.88/201.00 [6978]~P1(f317(f317(f225(a898),f317(a95,x69781)),f317(a95,x69782)))+~P1(f317(f317(f226(a1),f2(a1)),x69781))+P1(f317(f317(f225(a1),x69781),x69782)) % 199.88/201.00 [7011]P1(f317(f317(f225(a1),x70111),x70112))+~P1(f317(f317(f225(a898),f317(f94(a898),x70111)),f317(f94(a898),x70112)))+P1(f317(f317(f225(a1),x70111),a77)) % 199.88/201.00 [7037]P1(f317(f317(f225(a1),f2(a1)),f40(a1,x70371,x70372)))+~P1(f317(f317(f225(a1),f2(a1)),x70372))+~P1(f317(f317(f225(a1),f2(a1)),x70371)) % 199.88/201.00 [7135]P1(f317(f317(f226(a1),a77),x71351))+~P1(f317(f317(f226(a1),x71352),x71351))+~P1(f317(f317(f226(a898),f317(f94(a898),x71352)),f317(f94(a898),x71351))) % 199.88/201.00 [7189]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x71891),x71892)),f40(a1,x71891,x71892)),f45(x71891,x71892))+~P1(f317(f317(f226(a1),x71891),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x71892)) % 199.88/201.00 [7209]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x72091),x72092)),f40(a1,x72091,x72092)),f42(x72091,x72092))+~P1(f317(f317(f225(a1),f2(a1)),x72092))+~P1(f317(f317(f225(a1),f2(a1)),x72091)) % 199.88/201.00 [7263]~P97(x72632)+E(x72631,f103(x72632))+E(f317(f132(x72632,x72632,f75(x72632),f317(f131(x72632),x72631)),f317(f161(x72632),x72631)),f317(f57(x72632,f75(x72632)),f317(f162(x72632),x72631))) % 199.88/201.00 [7378]~E(x73781,f2(a898))+E(f317(f132(a898,a898,f74(a898),x73781),x73782),f2(a898))+P1(f317(f317(f319(a898),f652(x73782,x73781)),f317(f162(a898),x73782))) % 199.88/201.00 [7431]~P1(f317(f317(f225(a1),x74311),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74311),x74312)),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x74312)) % 199.88/201.00 [7432]~P1(f317(f317(f226(a1),x74322),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74321),x74322)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74321)) % 199.88/201.00 [7433]~P1(f317(f317(f226(a1),x74332),f2(a1)))+P1(f317(f317(f226(a1),f317(f317(f30(a1),x74331),x74332)),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x74331)) % 199.88/201.00 [7435]~P1(f317(f317(f226(a1),x74351),f2(a1)))+P1(f317(f317(f226(a1),f317(f317(f30(a1),x74351),x74352)),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x74352)) % 199.88/201.00 [7442]P1(f317(f317(f319(f905(x74421,a894)),f489(x74422,x74421)),x74422))+~P1(f317(f28(f905(x74421,a894)),x74422))+P1(f317(f28(x74421),f31(f905(x74421,a894),x74422))) % 199.88/201.00 [7532]P24(x75321,x75321,x75322,f232(f905(x75321,a894)))+~E(f317(f300(x75321,x75321,x75322),f232(f905(x75321,a894))),f232(f905(x75321,a894)))+~P1(f317(f28(x75321),f232(f905(x75321,a894)))) % 199.88/201.00 [7654]~P24(x76541,x76541,x76542,f232(f905(x76541,a894)))+E(f317(f300(x76541,x76541,x76542),f232(f905(x76541,a894))),f232(f905(x76541,a894)))+~P1(f317(f28(x76541),f232(f905(x76541,a894)))) % 199.88/201.00 [7794]E(f317(f317(f30(a1),x77941),x77942),f317(f94(a1),a87))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x77941),x77942)),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x77941)) % 199.88/201.00 [7851]~P1(f317(f317(f226(a1),x78512),f2(a1)))+~P1(f317(f317(f226(a1),f317(f317(f30(a1),x78511),x78512)),f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x78511)) % 199.88/201.00 [7856]E(f317(f317(f74(a1),x78561),x78562),f40(a1,x78561,x78562))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x78561),x78562)),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x78561)) % 199.88/201.00 [7859]P1(f317(f317(f226(a1),x78591),f2(a1)))+~P1(f317(f317(f226(a1),f317(f317(f30(a1),x78591),x78592)),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x78592)) % 199.88/201.00 [7875]~P150(x78752)+P149(x78751,f317(f317(f299(a893),f909(x78752)),f178(f905(a893,a894))))+~P149(x78751,f317(f317(f299(a893),f317(a908,f540(x78751,x78752))),f178(f905(a893,a894)))) % 199.88/201.00 [8556]~P108(x85561)+P13(x85561,x85562)+~P1(f317(f317(f225(x85561),f317(f317(f154(x85561),x85562),f686(x85562,x85561))),f317(f317(f154(x85561),x85562),f687(x85562,x85561)))) % 199.88/201.00 [8557]~P108(x85571)+P13(x85571,x85572)+~P1(f317(f317(f225(x85571),f317(f317(f154(x85571),x85572),f694(x85572,x85571))),f317(f317(f154(x85571),x85572),f698(x85572,x85571)))) % 199.88/201.00 [5753]E(x57531,f2(a1))+~E(f40(a1,x57532,x57531),f2(a1))+E(f317(f317(f30(a1),x57532),f317(f73(a1),x57531)),f317(f73(a1),f317(f317(f30(a1),x57532),x57531))) % 199.88/201.00 [5771]~P39(x57712)+~P39(x57711)+P39(f317(f317(f91(f905(a1,a894)),x57711),x57712)) % 199.88/201.00 [5772]~P39(x57722)+~P39(x57721)+P39(f317(f317(f92(f905(a1,a894)),x57721),x57722)) % 199.88/201.00 [5790]~P93(x57901)+~P61(x57901)+E(f317(f73(x57901),f317(f317(f281(x57901),f72(x57901)),x57902)),f317(f317(f281(x57901),f317(f94(x57901),a87)),x57902)) % 199.88/201.00 [5917]E(x59171,f2(a1))+~E(f40(a1,x59172,x59171),f2(a1))+E(f317(f317(f30(a1),f317(f73(a1),x59172)),x59171),f317(f73(a1),f317(f317(f30(a1),x59172),x59171))) % 199.88/201.00 [6059]~P108(x60591)+P13(x60591,x60592)+P1(f317(f317(f226(a898),f687(x60592,x60591)),f317(f179(f899(x60591)),x60592))) % 199.88/201.00 [6060]~P108(x60601)+P13(x60601,x60602)+P1(f317(f317(f226(a898),f698(x60602,x60601)),f317(f179(f899(x60601)),x60602))) % 199.88/201.00 [6222]~P93(x62221)+~E(f317(f94(x62221),x62222),f2(x62221))+P27(x62221,f317(f94(x62221),f317(f317(f74(a1),x62222),f317(f73(a1),a77)))) % 199.88/201.00 [6223]~P93(x62231)+~E(f317(f94(x62231),x62232),f2(x62231))+P27(x62231,f317(f94(x62231),f317(f317(f74(a1),a77),f317(f73(a1),x62232)))) % 199.88/201.00 [6225]E(f317(a46,f42(f317(f73(a1),x62251),f317(f73(a1),x62252))),f41(x62251,x62252))+P1(f317(f317(f225(a1),f2(a1)),x62251))+P1(f317(f317(f226(a1),f2(a1)),x62252)) % 199.88/201.00 [6356]~E(x63562,f2(a898))+~E(x63561,f2(a898))+P1(f317(f317(f225(a1),f317(f90(a1),x63561)),f317(f73(a1),f317(f90(a1),x63562)))) % 199.88/201.00 [6386]E(f317(f317(f74(a898),f317(f94(a898),x63861)),f317(f94(a898),x63862)),f317(f94(a898),f317(f317(f74(a1),x63861),x63862)))+P1(f317(f317(f226(a1),x63861),a77))+P1(f317(f317(f226(a1),x63862),a77)) % 199.88/201.00 [6521]~P79(x65211)+~P1(f317(f317(f225(x65211),f2(x65211)),x65212))+P1(f317(f317(f225(x65211),f317(f73(x65211),x65212)),x65212)) % 199.88/201.00 [6522]~P79(x65221)+~P1(f317(f317(f226(x65221),f2(x65221)),x65222))+P1(f317(f317(f226(x65221),f317(f73(x65221),x65222)),x65222)) % 199.88/201.00 [6703]E(f317(f317(f23(a898),f317(a95,x67031)),f317(a95,x67032)),f317(a95,f317(f317(f23(a1),x67031),x67032)))+~P1(f317(f317(f225(a1),f2(a1)),x67032))+~P1(f317(f317(f225(a1),x67032),x67031)) % 199.88/201.00 [6739]E(f317(a95,f40(a1,f317(f94(a1),x67391),f317(f94(a1),x67392))),f40(a898,f317(f94(a898),x67391),f317(f94(a898),x67392)))+P1(f317(a183,f317(f94(a1),x67391)))+P1(f317(a183,f317(f94(a1),x67392))) % 199.88/201.00 [6756]~P79(x67561)+P1(f317(f317(f225(x67561),f2(x67561)),x67562))+~P1(f317(f317(f225(x67561),f317(f73(x67561),x67562)),x67562)) % 199.88/201.00 [6757]~P79(x67571)+P1(f317(f317(f226(x67571),f2(x67571)),x67572))+~P1(f317(f317(f226(x67571),f317(f73(x67571),x67572)),x67572)) % 199.88/201.00 [6769]~P79(x67691)+~P1(f317(f317(f225(x67691),f2(x67691)),x67692))+P1(f317(f317(f225(x67691),f2(x67691)),f317(f317(f74(x67691),x67692),x67692))) % 199.88/201.00 [6771]~P79(x67711)+~P1(f317(f317(f226(x67711),f2(x67711)),x67712))+P1(f317(f317(f226(x67711),f2(x67711)),f317(f317(f74(x67711),x67712),x67712))) % 199.88/201.00 [6782]E(f317(f317(f74(a898),f317(a95,x67821)),f317(a95,x67822)),f317(a95,f317(f317(f74(a1),x67821),x67822)))+~P1(f317(f317(f225(a1),f2(a1)),x67822))+~P1(f317(f317(f225(a1),f2(a1)),x67821)) % 199.88/201.00 [6794]E(x67941,f2(a898))+P1(f317(f317(f226(a898),f2(a898)),x67942))+~P1(f317(f317(f226(a898),f2(a898)),f317(f317(f234(a898),x67942),x67941))) % 199.88/201.00 [6829]~P93(x68291)+E(f317(f94(x68291),x68292),f2(x68291))+~P27(x68291,f317(f94(x68291),f317(f317(f74(a1),a77),f317(f73(a1),x68292)))) % 199.88/201.00 [6830]~P93(x68301)+E(f317(f94(x68301),x68302),f2(x68301))+~P27(x68301,f317(f94(x68301),f317(f317(f74(a1),x68302),f317(f73(a1),a77)))) % 199.88/201.00 [6889]~P1(f317(f28(x68891),x68892))+~P1(f317(f28(x68891),f232(f905(x68891,a894))))+P1(f317(f28(x68891),f317(f73(f905(x68891,a894)),x68892))) % 199.88/201.00 [6912]~P1(f317(f317(f226(a1),f2(a1)),x69122))+~P1(f317(f317(f225(a1),x69122),x69121))+P1(f317(f317(f226(a1),f2(a1)),f317(f317(f30(a1),x69121),x69122))) % 199.88/201.00 [6913]~P1(f317(f317(f225(a1),x69131),f2(a1)))+~P1(f317(f317(f226(a1),x69132),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x69131),x69132))) % 199.88/201.00 [6951]~P1(f317(f317(f225(a1),f2(a1)),x69512))+~P1(f317(f317(f225(a1),f2(a1)),x69511))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),x69511),x69512))) % 199.88/201.00 [6952]~P1(f317(f317(f225(a1),f2(a1)),x69522))+~P1(f317(f317(f225(a1),f2(a1)),x69521))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f75(a1),x69521),x69522))) % 199.88/201.00 [6953]~P1(f317(f317(f225(a1),f2(a1)),x69532))+~P1(f317(f317(f225(a1),f2(a1)),x69531))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x69531),x69532))) % 199.88/201.00 [6954]~P1(f317(f317(f225(a1),f2(a1)),x69541))+~P1(f317(f317(f226(a1),f2(a1)),x69542))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x69541),x69542))) % 199.88/201.00 [6955]~P1(f317(f317(f226(a898),f2(a898)),x69552))+~P1(f317(f317(f226(a898),f2(a898)),x69551))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f75(a898),x69551),x69552))) % 199.88/201.00 [7024]E(x70241,f2(a1))+E(f40(a1,x70242,x70241),f2(a1))+E(f317(f317(f23(a1),f317(f73(a1),f317(f317(f30(a1),x70242),x70241))),f72(a1)),f317(f317(f30(a1),f317(f73(a1),x70242)),x70241)) % 199.88/201.00 [7081]P1(f317(f317(f226(a898),f2(a898)),x70811))+P1(f317(f317(f226(a898),f2(a898)),x70812))+~P1(f317(f317(f226(a898),f2(a898)),f317(f317(f74(a898),x70812),x70811))) % 199.88/201.00 [7085]~P79(x70851)+P1(f317(f317(f225(x70851),f2(x70851)),x70852))+~P1(f317(f317(f225(x70851),f2(x70851)),f317(f317(f74(x70851),x70852),x70852))) % 199.88/201.00 [7086]~P79(x70861)+P1(f317(f317(f226(x70861),f2(x70861)),x70862))+~P1(f317(f317(f226(x70861),f2(x70861)),f317(f317(f74(x70861),x70862),x70862))) % 199.88/201.00 [7136]~P1(f317(f28(x71361),x71362))+P1(f317(f28(x71361),f232(f905(x71361,a894))))+~P1(f317(f28(x71361),f317(f73(f905(x71361,a894)),x71362))) % 199.88/201.00 [7201]P1(f317(f317(f225(a1),x72011),f2(a1)))+~P1(f317(f317(f226(a1),x72012),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72011),x72012))) % 199.88/201.00 [7207]~P1(f317(f317(f226(a1),f2(a1)),x72071))+P1(f317(f317(f225(a1),x72071),x72072))+~P1(f317(f317(f226(a1),f2(a1)),f317(f317(f30(a1),x72072),x72071))) % 199.88/201.00 [7208]~P1(f317(f317(f225(a1),f2(a1)),x72082))+P1(f317(f317(f225(a1),x72081),x72082))+~P1(f317(f317(f226(a1),f2(a1)),f317(f317(f30(a1),x72082),x72081))) % 199.88/201.00 [7238]P1(f317(f317(f225(a1),f2(a1)),x72381))+~P1(f317(f317(f226(a1),f2(a1)),x72382))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72381),x72382))) % 199.88/201.00 [7239]P1(f317(f317(f226(a1),f2(a1)),x72391))+~P1(f317(f317(f225(a1),f2(a1)),x72392))+~P1(f317(f317(f226(a1),f2(a1)),f317(f317(f30(a1),x72392),x72391))) % 199.88/201.00 [7685]~P1(f317(f28(x76852),f232(f905(x76852,a894))))+~P1(f317(f28(x76851),f232(f905(x76851,a894))))+P1(f317(f28(f903(x76851,x76852)),f232(f905(f903(x76851,x76852),a894)))) % 199.88/201.00 [7686]~P1(f317(f28(x76862),f232(f905(x76862,a894))))+~P1(f317(f28(x76861),f232(f905(x76861,a894))))+P1(f317(f28(f904(x76861,x76862)),f232(f905(f904(x76861,x76862),a894)))) % 199.88/201.00 [7758]~P1(f317(f317(f226(a898),f317(a102,f2(a898))),x77581))+~P1(f317(f317(f226(a898),f317(a102,f2(a898))),x77582))+P1(f317(f317(f226(a898),x77581),f317(f317(f75(a898),x77582),x77581))) % 199.88/201.00 [7759]~P1(f317(f317(f226(a898),f317(a102,f2(a898))),x77591))+~P1(f317(f317(f226(a898),f317(a102,f2(a898))),x77592))+P1(f317(f317(f226(a898),x77591),f317(f317(f75(a898),x77591),x77592))) % 199.88/201.00 [7793]E(f317(f29(x77931),f232(f905(x77931,a894))),f317(a102,f2(a898)))+P1(f317(f28(x77932),f232(f905(x77932,a894))))+~P1(f317(f28(f905(x77932,x77931)),f232(f905(f905(x77932,x77931),a894)))) % 199.88/201.00 [7921]~P1(f317(f317(f225(a898),f317(a102,f2(a898))),x79211))+~P1(f317(f317(f225(a898),f317(a102,f2(a898))),x79212))+P1(f317(f317(f225(a898),f317(a102,f2(a898))),f317(f317(f75(a898),x79211),x79212))) % 199.88/201.00 [7922]~P1(f317(f317(f226(a898),f317(a102,f2(a898))),x79222))+~P1(f317(f317(f226(a898),f317(a102,f2(a898))),x79221))+P1(f317(f317(f226(a898),f317(a102,f2(a898))),f317(f317(f75(a898),x79221),x79222))) % 199.88/201.00 [8603]E(x86031,f103(x86032))+~P1(f317(f127(x86032),x86031))+E(f167(x86032,f317(f317(f8(a894,a894,x86032),a312),f317(f317(f7(x86032,x86032,a894),a314),f134(x86032,x86031))),x86031),f104(x86032,x86031)) % 199.88/201.00 [8698]~P39(x86982)+~P39(x86981)+E(f317(f300(a898,a1,f90(a1)),f317(f317(f91(f905(a898,a894)),f317(f300(a1,a898,a95),x86981)),f317(f300(a1,a898,a95),x86982))),f317(f317(f91(f905(a1,a894)),x86981),x86982)) % 199.88/201.00 [8699]~P39(x86992)+~P39(x86991)+E(f317(f300(a898,a1,f90(a1)),f317(f317(f92(f905(a898,a894)),f317(f300(a1,a898,a95),x86991)),f317(f300(a1,a898,a95),x86992))),f317(f317(f92(f905(a1,a894)),x86991),x86992)) % 199.88/201.00 [9367]~P93(x93671)+~E(f317(f94(x93671),x93672),f72(x93671))+P27(x93671,f317(f94(x93671),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x93672)))) % 199.88/201.00 [9620]~P93(x96201)+E(f317(f94(x96201),x96202),f72(x96201))+~P27(x96201,f317(f94(x96201),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x96202)))) % 199.88/201.00 [10377]E(x103771,f2(a1))+E(x103772,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103772))),f317(f317(f317(f86(f904(a1,a1)),f317(f317(a314,f76(a1,x103771)),f76(a1,x103772))),f48(x103771,x103772)),f317(f317(f247(a1,a1,f904(a1,a1)),f317(f317(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f317(f317(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f317(f317(f8(f904(a1,a1),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f317(f7(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f317(f317(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f317(f317(f7(a1,a1,a894),a314),f2(a1))))),f317(f317(f7(a1,a1,f904(a1,a1)),f317(f317(f8(a1,f905(a1,f904(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f317(f317(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f317(f317(f8(a1,f905(a1,f904(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f905(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f317(f23(a1),f317(f70(a1),x103772))))),f48(x103771,x103772)))),f41(x103771,x103772)) % 199.88/201.00 [10378]E(x103781,f2(a1))+E(x103782,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103782))),f317(f317(f317(f86(f904(a1,a1)),f317(f317(a316,f317(f317(a315,f317(f317(f226(a1),f2(a1)),x103782)),f317(f317(f225(a1),f2(a1)),x103781))),f317(f317(a315,f317(f317(f226(a1),x103782),f2(a1))),f317(f317(f226(a1),x103781),f2(a1))))),f48(x103781,x103782)),f317(f317(f247(a1,a1,f904(a1,a1)),f317(f317(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f317(f317(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f317(f317(f8(f904(a1,a1),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f317(f7(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f317(f317(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f317(f317(f7(a1,a1,a894),a314),f2(a1))))),f317(f317(f7(a1,a1,f904(a1,a1)),f317(f317(f8(a1,f905(a1,f904(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f317(f317(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f317(f317(f8(a1,f905(a1,f904(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f905(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f317(f23(a1),f317(f70(a1),x103782))))),f48(x103781,x103782)))),f41(x103781,x103782)) % 199.88/201.00 [5779]~P111(x57791)+~P93(x57791)+E(f317(f70(x57791),f317(f317(f234(x57791),f317(f94(x57791),a87)),x57792)),f72(x57791)) % 199.88/201.00 [6295]~P128(x62951)+~P1(f317(f317(f226(a1),x62952),f2(a1)))+E(f317(f73(x62951),f317(f90(x62951),f317(a95,f317(f73(a1),x62952)))),f317(f93(x62951),x62952)) % 199.88/201.00 [6505]P1(f317(f317(f225(a89),x65051),f72(a89)))+E(f317(f317(f74(a89),f72(a89)),f262(x65051,f317(f317(f30(a89),x65052),x65051))),f262(x65051,x65052))+P1(f317(f317(f226(a89),x65052),x65051)) % 199.88/201.00 [6992]~E(x69922,f72(a898))+~P1(f317(f317(f226(a898),f2(a898)),x69921))+P1(f317(f317(f277(a898),f317(f317(f75(a898),x69921),x69922)),x69921)) % 199.88/201.00 [6993]~E(x69931,f72(a898))+~P1(f317(f317(f226(a898),f2(a898)),x69932))+P1(f317(f317(f277(a898),f317(f317(f75(a898),x69931),x69932)),x69932)) % 199.88/201.00 [7126]~P92(x71261)+~P1(f317(f317(f319(x71261),x71262),f100(x71261)))+~E(f317(f317(f74(x71261),f317(f317(f74(x71261),f72(x71261)),x71262)),x71262),f2(x71261)) % 199.88/201.00 [7240]~P1(f317(f317(f225(a1),x72402),f2(a1)))+~P1(f317(f317(f226(a1),x72401),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f42(f317(f73(a1),x72401),f317(f73(a1),x72402)))),f317(f317(f30(a1),x72401),x72402)) % 199.88/201.00 [7257]~P1(f317(f317(f225(a1),x72572),f2(a1)))+~P1(f317(f317(f226(a1),x72571),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f42(f317(f73(a1),x72571),f317(f73(a1),x72572)))),f40(a1,x72571,x72572)) % 199.88/201.00 [7265]~P1(f317(f317(f226(a1),x72652),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),x72651),f317(f73(a1),x72652)))),f317(f317(f30(a1),x72651),x72652))+~P1(f317(f317(f226(a1),f2(a1)),x72651)) % 199.88/201.00 [7283]~P1(f317(f317(f226(a1),x72832),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),x72831),f317(f73(a1),x72832)))),f40(a1,x72831,x72832))+~P1(f317(f317(f226(a1),f2(a1)),x72831)) % 199.88/201.00 [7334]E(f317(f317(f30(a1),f317(f317(f234(a1),x73341),x73342)),x73341),f317(f317(f234(a1),x73341),f317(f317(f23(a898),x73342),f317(a102,f2(a898)))))+~P1(f317(f317(f226(a898),f2(a898)),x73342))+~P1(f317(f317(f226(a1),f2(a1)),x73341)) % 199.88/201.00 [7438]~P1(f317(f317(f226(a898),f2(a898)),x74381))+~P1(f317(f317(f226(a898),f2(a898)),x74382))+P1(f317(f317(f226(a898),f317(f317(f23(a898),x74381),x74382)),x74381)) % 199.88/201.00 [7439]~P1(f317(f317(f226(a898),f2(a898)),x74391))+~P1(f317(f317(f226(a898),f72(a898)),x74392))+P1(f317(f317(f226(a898),f317(f317(f30(a898),x74391),x74392)),x74391)) % 199.88/201.00 [7440]~P1(f317(f317(f226(a1),f2(a1)),x74401))+~P1(f317(f317(f226(a1),f72(a1)),x74402))+P1(f317(f317(f226(a1),f317(f317(f30(a1),x74401),x74402)),x74401)) % 199.88/201.00 [7577]E(x75771,f2(a898))+~E(x75772,f2(a1))+~P1(f317(f317(f226(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x75772)),x75771))) % 199.88/201.00 [7618]E(x76181,f72(a898))+~P1(f317(f317(f226(a898),f2(a898)),x76182))+~P1(f317(f317(f277(a898),f317(f317(f75(a898),x76182),x76181)),x76182)) % 199.88/201.00 [7619]E(x76191,f72(a898))+~P1(f317(f317(f226(a898),f2(a898)),x76192))+~P1(f317(f317(f277(a898),f317(f317(f75(a898),x76191),x76192)),x76192)) % 199.88/201.00 [8000]~E(x80002,f103(f899(x80001)))+E(f317(f179(f899(f899(x80001))),f169(x80001,x80002)),f2(a898))+~P13(a898,f317(f158(a898),f317(f317(f144(f899(x80001),a898),f179(f899(x80001))),x80002))) % 199.88/201.00 [8253]P1(f317(x82531,x82532))+~P1(f317(x82531,f317(a97,f515(x82531,x82532))))+~P1(f317(f317(f319(f905(f904(a898,a898),a894)),x82532),a88)) % 199.88/201.00 [8269]E(x82691,f103(f899(x82692)))+E(f317(f179(f899(x82692)),f317(f317(f154(f899(x82692)),x82691),f2(a898))),f317(f179(f899(f899(x82692))),f169(x82692,x82691)))+~P13(a898,f317(f158(a898),f317(f317(f144(f899(x82692),a898),f179(f899(x82692))),x82691))) % 199.88/201.00 [8410]~P37(x84101,x84102)+~P38(x84101,x84102)+P37(x84101,f317(f317(f23(f905(f904(x84101,x84101),a894)),x84102),f297(x84101,f178(f905(f904(x84101,x84101),a894))))) % 199.88/201.00 [8983]~P1(f317(f28(x89831),f317(f252(x89831),x89832)))+~P1(f317(f28(x89831),f232(f905(x89831,a894))))+P1(f317(f28(x89831),f317(f252(x89831),f317(f317(f8(a894,a894,x89831),a312),x89832)))) % 199.88/201.00 [9047]E(f317(f317(f242(a898,a898),f317(a102,f317(f317(f30(a898),f317(f317(f23(a898),x90471),x90472)),x90472))),f40(a898,f317(f317(f23(a898),x90471),x90472),x90472)),f79(f904(a898,a898),f43(x90471,x90472)))+~P1(f317(f317(f226(a898),f2(a898)),x90472))+~P1(f317(f317(f225(a898),x90472),x90471)) % 199.88/201.00 [9332]~P1(f317(f28(x93321),f317(f252(x93321),x93322)))+P1(f317(f28(x93321),f232(f905(x93321,a894))))+~P1(f317(f28(x93321),f317(f252(x93321),f317(f317(f8(a894,a894,x93321),a312),x93322)))) % 199.88/201.00 [10058]P26(x100581,x100582)+~P36(x100581,f317(f241(f905(f904(x100581,x100581),a894),f905(f904(x100581,x100581),a894)),x100582))+~P1(f317(f317(f225(f905(f904(x100581,x100581),a894)),f317(f317(f279(x100581,x100581,x100581),f317(f241(f905(f904(x100581,x100581),a894),f905(f904(x100581,x100581),a894)),x100582)),f317(f246(f905(f904(x100581,x100581),a894),f905(f904(x100581,x100581),a894)),x100582))),f317(f241(f905(f904(x100581,x100581),a894),f905(f904(x100581,x100581),a894)),x100582))) % 199.88/201.00 [10155]~E(f287(a898,f277(a898),f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x101552,x101551),f178(f905(a898,a894)))+~P1(f317(f317(f277(a898),x101552),x101551))+P1(f317(f317(f277(a898),x101551),x101552)) % 199.88/201.00 [10156]~E(f290(a898,f277(a898),f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x101562,x101561),f178(f905(a898,a894)))+~P1(f317(f317(f277(a898),x101562),x101561))+P1(f317(f317(f277(a898),x101561),x101562)) % 199.88/201.00 [7364]~P1(f317(f317(f226(a898),f2(a898)),x73642))+P1(f317(f317(f226(a898),x73641),x73642))+E(f317(a102,f317(f317(f30(a898),f317(f317(f23(a898),x73641),x73642)),x73642)),f317(f317(f30(a898),x73641),x73642)) % 199.88/201.00 [7505]~P1(f317(f317(f226(a898),f2(a898)),x75052))+~P1(f317(f317(f225(a898),x75052),x75051))+E(f317(a102,f317(f317(f30(a898),f317(f317(f23(a898),x75051),x75052)),x75052)),f317(f317(f30(a898),x75051),x75052)) % 199.88/201.00 [8474]~P93(x84741)+~P92(x84741)+~P27(x84741,f317(f94(x84741),f317(f317(f23(a1),f317(f317(f74(a1),x84742),x84742)),a87))) % 199.88/201.00 [9238]E(x92381,f2(a898))+E(f317(f317(f247(a898,a898,f904(a898,a898)),f317(f317(f8(a898,f905(a898,f904(a898,a898)),a898),f242(a898,a898)),a102)),f79(f904(a898,a898),f43(f317(f317(f23(a898),x92382),x92381),x92381))),f79(f904(a898,a898),f43(x92382,x92381)))+P1(f317(f317(f226(a898),x92382),x92381)) % 199.88/201.00 [9422]~P37(x94221,x94222)+~P51(x94221,x94222)+P1(f317(f317(f225(f905(f904(x94221,x94221),a894)),f317(f317(f279(x94221,x94221,x94221),f317(f276(x94221,x94221),x94222)),x94222)),x94222)) % 199.88/201.00 [9684]P1(f317(x96842,f615(x96842,x96841)))+P1(f317(x96841,f615(x96842,x96841)))+E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x96841)),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x96842))) % 199.88/201.00 [9688]~P1(f317(x96882,f615(x96882,x96881)))+~P1(f317(x96881,f615(x96882,x96881)))+E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x96881)),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f905(a894,a894),a1),a315),f317(f225(a1),f2(a1)))),x96882))) % 199.88/201.00 [10238]~P1(f317(f317(f277(a898),x102382),x102381))+P1(f317(f317(f277(a898),x102381),x102382))+P1(f317(f317(f319(a898),x102381),f285(a898,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x102382))) % 199.88/201.00 [10239]~P1(f317(f317(f277(a898),x102392),x102391))+P1(f317(f317(f277(a898),x102391),x102392))+P1(f317(f317(f319(a898),x102392),f288(a898,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x102391))) % 199.88/201.00 [7716]~P93(x77161)+~P62(x77161)+E(f317(f317(f281(x77161),x77162),f317(f94(x77161),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x77162) % 199.88/201.00 [9366]~P93(x93661)+~E(f317(f94(x93661),x93662),f72(x93661))+P27(x93661,f317(f94(x93661),f317(f317(f74(a1),x93662),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/201.00 [9554]~P142(x95541)+~E(x95542,f72(x95541))+E(f317(f317(f234(x95541),x95542),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95541)) % 199.88/201.00 [9555]~P142(x95551)+~E(x95552,f2(x95551))+E(f317(f317(f234(x95551),x95552),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f2(x95551)) % 199.88/201.00 [9570]~P142(x95701)+~E(x95702,f317(f73(x95701),f72(x95701)))+E(f317(f317(f234(x95701),x95702),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x95701)) % 199.88/201.00 [9621]~P93(x96211)+E(f317(f94(x96211),x96212),f72(x96211))+~P27(x96211,f317(f94(x96211),f317(f317(f74(a1),x96212),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/201.00 [10002]~P111(x100022)+E(x100021,f2(x100022))+P1(f317(f317(f226(x100022),f2(x100022)),f317(f317(f234(x100022),x100021),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/201.00 [10057]~P111(x100572)+~E(x100571,f2(x100572))+~P1(f317(f317(f226(x100572),f2(x100572)),f317(f317(f234(x100572),x100571),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/201.00 [10093]P1(f317(f317(f225(a1),x100931),f2(a1)))+P1(f317(f317(f226(a1),x100932),x100931))+E(f317(f38(x100931),f42(x100932,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100931))),f42(x100932,x100931)) % 199.88/201.00 [10094]~P1(f317(f317(f226(a1),f2(a1)),x100941))+P1(f317(f317(f226(a1),x100942),x100941))+E(f317(f38(x100941),f42(x100942,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100941))),f42(x100942,x100941)) % 199.88/201.00 [10095]P1(f317(f317(f225(a1),x100951),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),x100952),x100951)))+E(f317(f38(x100951),f45(x100952,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100951))),f45(x100952,x100951)) % 199.88/201.00 [10096]~P1(f317(f317(f226(a1),f2(a1)),x100961))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),x100962),x100961)))+E(f317(f38(x100961),f45(x100962,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100961))),f45(x100962,x100961)) % 199.88/201.00 [10097]~P144(x100971)+~P1(f317(f317(f225(a1),f2(a1)),x100972))+E(f317(f90(x100971),f317(a95,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x100972))),f317(f317(f74(x100971),f317(f90(x100971),f317(a95,x100972))),f317(f90(x100971),f317(a95,x100972)))) % 199.88/201.00 [5113]~P147(x51131,x51133,x51132)+~E(x51133,f2(a1))+P1(f317(x51131,x51132)) % 199.88/201.00 [5237]~P108(x52371)+~P13(x52371,x52373)+P13(x52371,f160(x52371,x52372,x52373)) % 199.88/201.00 [5238]~P108(x52381)+~P13(x52381,x52383)+P13(x52381,f167(x52381,x52382,x52383)) % 199.88/201.00 [4801]~P76(x48012)+~E(x48013,f317(f73(x48012),x48011))+E(x48011,f317(f73(x48012),x48013)) % 199.88/201.00 [4803]~P76(x48031)+~E(f317(f73(x48031),x48033),x48032)+E(f317(f73(x48031),x48032),x48033) % 199.88/201.00 [4882]~P95(x48823)+E(x48821,x48822)+~E(f317(f90(x48823),x48821),f317(f90(x48823),x48822)) % 199.88/201.00 [4883]~P76(x48833)+E(x48831,x48832)+~E(f317(f73(x48833),x48831),f317(f73(x48833),x48832)) % 199.88/201.00 [4884]~P96(x48843)+E(x48841,x48842)+~E(f317(f73(x48843),x48841),f317(f73(x48843),x48842)) % 199.88/201.00 [4885]~P92(x48853)+E(x48851,x48852)+~E(f317(f93(x48853),x48851),f317(f93(x48853),x48852)) % 199.88/201.00 [4886]~P108(x48863)+E(x48861,x48862)+~E(f317(f272(x48863),x48861),f317(f272(x48863),x48862)) % 199.88/201.00 [4887]~P108(x48873)+E(x48871,x48872)+~E(f317(f291(x48873),x48871),f317(f291(x48873),x48872)) % 199.88/201.00 [4888]~P108(x48883)+E(x48881,x48882)+~E(f317(f273(x48883),x48881),f317(f273(x48883),x48882)) % 199.88/201.00 [4889]~P108(x48893)+E(x48891,x48892)+~E(f317(f294(x48893),x48891),f317(f294(x48893),x48892)) % 199.88/201.00 [4991]~P60(x49911)+~P1(f317(x49912,x49913))+P1(f317(f51(x49911),x49912)) % 199.88/201.00 [5031]~P60(x50313)+P1(f317(x50311,x50312))+~P1(f317(f52(x50313),x50311)) % 199.88/201.00 [5133]~P148(x51331,x51332,x51333)+~E(x51332,f2(a1))+P1(f317(x51331,f2(a1))) % 199.88/201.00 [5173]~E(x51731,f2(a898))+E(f547(x51731,x51732,x51733),f178(f905(x51733,a894)))+~E(f317(f29(x51733),x51732),f317(a102,x51731)) % 199.88/201.00 [5321]~E(x53212,f2(a898))+E(f317(f241(a898,a898),x53211),f2(a898))+~P1(f317(f43(x53213,x53212),x53211)) % 199.88/201.00 [5360]P1(f317(x53601,x53602))+~E(x53603,f317(f90(a1),x53602))+~P1(f317(x53601,f317(a95,x53603))) % 199.88/201.00 [5843]~E(x58433,f2(a898))+~P1(f317(x58431,x58432))+P1(f317(x58431,f40(a898,x58432,x58433))) % 199.88/201.00 [6088]~P105(x60882)+~P105(x60881)+E(f121(x60881,x60882,f122(x60881,x60883),f122(x60882,x60883)),f122(f904(x60881,x60882),x60883)) % 199.88/201.00 [6275]~E(x62753,f2(a898))+P1(f317(x62751,x62752))+~P1(f317(x62751,f40(a898,x62752,x62753))) % 199.88/201.00 [6976]E(x69761,f2(a898))+~P1(f317(x69762,f864(x69761,x69763,x69762)))+P1(f317(x69762,f40(a898,x69763,x69761))) % 199.88/201.00 [7091]~P5(x70911)+~P1(f317(f317(f225(x70911),x70912),f476(x70913,x70912,x70911)))+P1(f317(f317(f225(x70911),x70912),f32(x70911,x70913))) % 199.88/201.00 [7093]~P1(f317(x70931,x70932))+~P1(f317(x70931,f864(x70933,x70932,x70931)))+P1(f317(x70931,f40(a898,x70932,x70933))) % 199.88/201.00 [7195]E(x71951,f103(x71952))+E(f317(f317(f141(x71952),f667(x71953,x71951,x71952)),f671(x71953,x71951,x71952)),x71951)+~P1(f317(f317(f319(f899(x71952)),x71951),f151(x71952,x71953))) % 199.88/201.00 [7227]~P128(x72271)+~P1(f317(f317(f319(x72271),x72272),f100(x72271)))+P1(f317(f317(f319(x72271),f317(f317(f234(x72271),x72272),x72273)),f100(x72271))) % 199.88/201.00 [7550]P36(x75501,x75502)+~P1(f317(f317(f319(x75501),x75503),f601(x75502,x75501)))+P1(f317(f317(f319(x75501),f614(x75502,x75501,x75503)),f601(x75502,x75501))) % 199.88/201.00 [7821]E(x78211,f103(x78212))+~P1(f317(f317(f319(f899(x78212)),x78211),f151(x78212,x78213)))+P1(f317(f317(f319(f899(x78212)),f671(x78213,x78211,x78212)),f151(x78212,x78213))) % 199.88/201.00 [7873]E(x78731,f2(a898))+E(f317(f317(f74(a898),f317(f317(f75(a898),x78731),f866(x78731,x78732,x78733))),f864(x78731,x78732,x78733)),x78732)+P1(f317(x78733,f40(a898,x78732,x78731))) % 199.88/201.00 [7916]~P1(f317(x79163,x79162))+E(f317(f317(f74(a898),f317(f317(f75(a898),x79161),f866(x79161,x79162,x79163))),f864(x79161,x79162,x79163)),x79162)+P1(f317(x79163,f40(a898,x79162,x79161))) % 199.88/201.00 [8056]P1(f317(f317(f226(a1),x80561),f858(x80562,x80563,x80561)))+P1(f317(f317(x80563,f317(f317(f30(a1),x80562),x80561)),f40(a1,x80562,x80561)))+~P1(f317(f317(f226(a1),x80561),f2(a1))) % 199.88/201.00 [8324]P1(f317(f317(x83242,f317(f317(f30(a1),x83241),x83243)),f40(a1,x83241,x83243)))+~P1(f317(f317(f226(a1),x83243),f2(a1)))+P1(f317(f317(f225(a1),f858(x83241,x83242,x83243)),f2(a1))) % 199.88/201.00 [8508]E(f317(f317(f74(a1),f317(f317(f75(a1),x85081),f861(x85082,x85083,x85081))),f858(x85082,x85083,x85081)),x85082)+P1(f317(f317(x85083,f317(f317(f30(a1),x85082),x85081)),f40(a1,x85082,x85081)))+~P1(f317(f317(f226(a1),x85081),f2(a1))) % 199.88/201.00 [8746]~P1(f317(f317(x87461,f861(x87462,x87461,x87463)),f858(x87462,x87461,x87463)))+P1(f317(f317(x87461,f317(f317(f30(a1),x87462),x87463)),f40(a1,x87462,x87463)))+~P1(f317(f317(f226(a1),x87463),f2(a1))) % 199.88/201.00 [8996]~P108(x89961)+~P13(x89961,x89963)+P13(x89961,f139(x89961,x89961,f5(x89961),x89962,x89963)) % 199.88/201.00 [9499]~P125(x94992)+E(x94991,f2(x94992))+~P1(f317(f317(f225(x94992),f317(f317(f74(x94992),f317(f317(f75(x94992),x94993),x94993)),f317(f317(f75(x94992),x94991),x94991))),f2(x94992))) % 199.88/201.00 [9500]~P125(x95002)+E(x95001,f2(x95002))+~P1(f317(f317(f225(x95002),f317(f317(f74(x95002),f317(f317(f75(x95002),x95001),x95001)),f317(f317(f75(x95002),x95003),x95003))),f2(x95002))) % 199.88/201.00 [10312]~P111(x103121)+~P1(f317(f317(f226(x103121),x103122),f2(x103121)))+P1(f317(f317(f226(x103121),f317(f317(f234(x103121),x103122),f317(a102,f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x103123)))),f2(x103121))) % 199.88/201.00 [10321]~P111(x103212)+E(x103211,f2(x103212))+~P1(f317(f317(f225(x103212),f317(f317(f74(x103212),f317(f317(f234(x103212),x103213),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103212),x103211),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103212))) % 199.88/201.00 [10322]~P111(x103222)+E(x103221,f2(x103222))+~P1(f317(f317(f225(x103222),f317(f317(f74(x103222),f317(f317(f234(x103222),x103221),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x103222),x103223),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x103222))) % 199.88/201.00 [4837]~E(x48372,x48373)+~P68(x48371)+E(f317(f317(f23(x48371),x48372),x48373),f2(x48371)) % 199.88/201.00 [4838]~E(x48382,x48383)+~P76(x48381)+E(f317(f317(f23(x48381),x48382),x48383),f2(x48381)) % 199.88/201.00 [4851]~P146(x48511)+~E(x48513,f2(x48511))+E(f317(f317(f74(x48511),x48512),x48513),x48512) % 199.88/201.00 [4869]~P141(x48691)+~E(x48693,f2(x48691))+E(f317(f317(f75(x48691),x48692),x48693),f2(x48691)) % 199.88/201.00 [4870]~P141(x48701)+~E(x48702,f2(x48701))+E(f317(f317(f75(x48701),x48702),x48703),f2(x48701)) % 199.88/201.00 [4891]~E(x48913,f103(x48911))+~E(x48912,f103(x48911))+E(f317(f317(f124(x48911),x48912),x48913),f103(x48911)) % 199.88/201.00 [4981]~P146(x49812)+E(x49811,f2(x49812))+~E(f317(f317(f74(x49812),x49813),x49811),x49813) % 199.88/201.00 [4982]~P76(x49821)+~E(x49822,f317(f73(x49821),x49823))+E(f317(f317(f74(x49821),x49822),x49823),f2(x49821)) % 199.88/201.00 [4989]E(x49891,f103(x49892))+E(x49893,f2(a898))+~E(f317(f317(f165(x49892),x49893),x49891),f103(x49892)) % 199.88/201.00 [4999]~P68(x49993)+E(x49991,x49992)+~E(f317(f317(f23(x49993),x49991),x49992),f2(x49993)) % 199.88/201.00 [5000]~P76(x50003)+E(x50001,x50002)+~E(f317(f317(f23(x50003),x50001),x50002),f2(x50003)) % 199.88/201.00 [5013]~P142(x50132)+E(x50131,f2(x50132))+~E(f317(f317(f234(x50132),x50131),x50133),f2(x50132)) % 199.88/201.00 [5014]~P99(x50142)+E(x50141,f178(x50142))+~E(f317(f317(f91(x50142),x50143),x50141),f178(x50142)) % 199.88/201.00 [5015]~P99(x50152)+E(x50151,f178(x50152))+~E(f317(f317(f91(x50152),x50151),x50153),f178(x50152)) % 199.88/201.00 [5016]~P102(x50162)+E(x50161,f232(x50162))+~E(f317(f317(f92(x50162),x50163),x50161),f232(x50162)) % 199.88/201.00 [5017]~P102(x50172)+E(x50171,f232(x50172))+~E(f317(f317(f92(x50172),x50171),x50173),f232(x50172)) % 199.88/201.00 [5087]~P76(x50872)+E(x50871,f317(f73(x50872),x50873))+~E(f317(f317(f74(x50872),x50871),x50873),f2(x50872)) % 199.88/201.00 [5088]~P76(x50881)+E(f317(f73(x50881),x50882),x50883)+~E(f317(f317(f74(x50881),x50882),x50883),f2(x50881)) % 199.88/201.00 [5090]~E(x50902,x50903)+~P65(x50901)+P1(f317(f317(f225(x50901),x50902),x50903)) % 199.88/201.00 [5092]~E(x50922,x50923)+~P109(x50921)+P1(f317(f317(f225(x50921),x50922),x50923)) % 199.88/201.00 [5190]~P120(x51901)+~E(x51902,f317(f73(x51901),x51903))+E(f317(f317(f75(x51901),x51902),x51902),f317(f317(f75(x51901),x51903),x51903)) % 199.88/201.00 [5198]~P108(x51981)+~P13(x51981,x51983)+P13(x51981,f317(f317(f165(x51981),x51982),x51983)) % 199.88/201.00 [5199]~P108(x51991)+~P13(x51991,x51993)+P13(x51991,f317(f317(f128(x51991),x51992),x51993)) % 199.88/201.00 [5235]E(x52351,x52352)+E(x52353,f2(a898))+~E(f317(f317(f75(a898),x52353),x52351),f317(f317(f75(a898),x52353),x52352)) % 199.88/201.00 [5236]E(x52361,x52362)+E(x52363,f2(a898))+~E(f317(f317(f75(a898),x52361),x52363),f317(f317(f75(a898),x52362),x52363)) % 199.88/201.00 [5314]~E(x53142,x53143)+~P109(x53141)+E(f293(x53141,x53142,x53143),f317(f317(f299(x53141),x53142),f178(f905(x53141,a894)))) % 199.88/201.00 [5349]~P111(x53491)+~E(f317(f70(x53491),x53492),f317(f70(x53491),x53493))+P1(f317(f317(f277(x53491),x53492),x53493)) % 199.88/201.00 [5357]~E(x53571,x53572)+~P108(x53573)+~P1(f317(f317(f226(x53573),x53571),x53572)) % 199.88/201.00 [5358]~E(x53581,x53582)+~P109(x53583)+~P1(f317(f317(f226(x53583),x53581),x53582)) % 199.88/201.00 [5371]~P109(x53711)+E(f317(f292(x53711,x53712),x53713),f178(f905(x53711,a894)))+P1(f317(f317(f226(x53711),x53712),x53713)) % 199.88/201.00 [5420]~P109(x54201)+E(f295(x54201,x54202,x54203),f178(f905(x54201,a894)))+P1(f317(f317(f226(x54201),x54202),x54203)) % 199.88/201.00 [5421]~P109(x54211)+E(f293(x54211,x54212,x54213),f178(f905(x54211,a894)))+P1(f317(f317(f225(x54211),x54212),x54213)) % 199.88/201.00 [5422]~P109(x54221)+E(f178(f905(x54221,a894)),f295(x54221,x54222,x54223))+P1(f317(f317(f226(x54221),x54222),x54223)) % 199.88/201.00 [5423]~P109(x54231)+E(f178(f905(x54231,a894)),f293(x54231,x54232,x54233))+P1(f317(f317(f225(x54231),x54232),x54233)) % 199.88/201.00 [5431]~P108(x54311)+~E(f317(f317(f229(x54311),x54312),x54313),x54312)+P1(f317(f317(f225(x54311),x54312),x54313)) % 199.88/201.00 [5432]~P108(x54321)+~E(f317(f317(f224(x54321),x54322),x54323),x54323)+P1(f317(f317(f225(x54321),x54322),x54323)) % 199.88/201.00 [5433]~P103(x54331)+~E(f317(f317(f91(x54331),x54332),x54333),x54333)+P1(f317(f317(f225(x54331),x54332),x54333)) % 199.88/201.00 [5434]~P104(x54341)+~E(f317(f317(f92(x54341),x54342),x54343),x54342)+P1(f317(f317(f225(x54341),x54342),x54343)) % 199.88/201.00 [5453]~P108(x54531)+P13(x54531,x54532)+~P13(x54531,f317(f317(f141(x54531),x54533),x54532)) % 199.88/201.00 [5454]~P108(x54541)+P13(x54541,x54542)+~P13(x54541,f317(f317(f124(x54541),x54543),x54542)) % 199.88/201.00 [5455]~P108(x54551)+P13(x54551,x54552)+~P13(x54551,f317(f317(f124(x54551),x54552),x54553)) % 199.88/201.00 [5460]~P3(x54601)+~E(f40(x54601,x54603,x54602),f2(x54601))+P1(f317(f317(f277(x54601),x54602),x54603)) % 199.88/201.00 [5522]~P108(x55221)+P1(f317(f317(f225(x55221),x55223),x55222))+P1(f317(f317(f225(x55221),x55222),x55223)) % 199.88/201.00 [5527]~P108(x55271)+P1(f317(f317(f226(x55271),x55273),x55272))+P1(f317(f317(f225(x55271),x55272),x55273)) % 199.88/201.00 [5564]~P108(x55641)+E(f317(f317(f229(x55641),x55642),x55643),x55643)+~P1(f317(f317(f225(x55641),x55643),x55642)) % 199.88/201.00 [5566]~P108(x55661)+E(f317(f317(f229(x55661),x55662),x55663),x55662)+~P1(f317(f317(f225(x55661),x55662),x55663)) % 199.88/201.00 [5567]~P108(x55671)+E(f317(f317(f224(x55671),x55672),x55673),x55672)+~P1(f317(f317(f225(x55671),x55673),x55672)) % 199.88/201.00 [5569]~P108(x55691)+E(f317(f317(f224(x55691),x55692),x55693),x55693)+~P1(f317(f317(f225(x55691),x55692),x55693)) % 199.88/201.00 [5570]~P103(x55701)+E(f317(f317(f91(x55701),x55702),x55703),x55702)+~P1(f317(f317(f225(x55701),x55703),x55702)) % 199.88/201.00 [5572]~P103(x55721)+E(f317(f317(f91(x55721),x55722),x55723),x55723)+~P1(f317(f317(f225(x55721),x55722),x55723)) % 199.88/201.00 [5573]~P104(x55731)+E(f317(f317(f92(x55731),x55732),x55733),x55733)+~P1(f317(f317(f225(x55731),x55733),x55732)) % 199.88/201.00 [5575]~P104(x55751)+E(f317(f317(f92(x55751),x55752),x55753),x55752)+~P1(f317(f317(f225(x55751),x55752),x55753)) % 199.88/201.00 [5582]~P122(x55822)+E(x55821,f2(x55822))+E(f317(f317(f281(x55822),f317(f73(x55822),x55823)),f317(f73(x55822),x55821)),f317(f317(f281(x55822),x55823),x55821)) % 199.88/201.00 [5589]~P3(x55891)+E(f40(x55891,x55892,x55893),f2(x55891))+~P1(f317(f317(f277(x55891),x55893),x55892)) % 199.88/201.00 [5635]~P109(x56351)+E(f317(f292(x56351,x56352),x56353),f178(f905(x56351,a894)))+~P1(f317(f317(f225(x56351),x56353),x56352)) % 199.88/201.00 [5668]~P109(x56681)+E(f296(x56681,x56682,x56683),f178(f905(x56681,a894)))+~P1(f317(f317(f225(x56681),x56683),x56682)) % 199.88/201.00 [5669]~P109(x56691)+E(f295(x56691,x56692,x56693),f178(f905(x56691,a894)))+~P1(f317(f317(f225(x56691),x56693),x56692)) % 199.88/201.00 [5670]~P109(x56701)+E(f293(x56701,x56702,x56703),f178(f905(x56701,a894)))+~P1(f317(f317(f226(x56701),x56703),x56702)) % 199.88/201.00 [5722]~E(f317(f317(f23(a898),x57221),x57223),x57222)+E(x57221,f317(f317(f74(a898),x57222),x57223))+~P1(f317(f317(f225(a898),x57223),x57221)) % 199.88/201.00 [5723]~E(x57231,f317(f317(f74(a898),x57233),x57232))+E(f317(f317(f23(a898),x57231),x57232),x57233)+~P1(f317(f317(f225(a898),x57232),x57231)) % 199.88/201.00 [5768]~P1(f317(x57681,x57683))+P1(f317(x57681,f352(x57681,x57682)))+~P1(f317(f317(f225(a898),x57683),x57682)) % 199.88/201.00 [5769]~P1(f317(x57691,x57693))+P1(f317(x57691,f373(x57691,x57692)))+~P1(f317(f317(f226(a898),x57693),x57692)) % 199.88/201.00 [5777]~P109(x57771)+~E(f317(f292(x57771,x57772),x57773),f178(f905(x57771,a894)))+~P1(f317(f317(f226(x57771),x57772),x57773)) % 199.88/201.00 [5782]~P65(x57821)+~P1(f317(f317(f226(x57821),x57822),x57823))+P1(f317(f317(f225(x57821),x57822),x57823)) % 199.88/201.00 [5784]~P109(x57841)+~P1(f317(f317(f226(x57841),x57842),x57843))+P1(f317(f317(f225(x57841),x57842),x57843)) % 199.88/201.00 [5902]~P109(x59021)+~E(f295(x59021,x59022,x59023),f178(f905(x59021,a894)))+~P1(f317(f317(f226(x59021),x59022),x59023)) % 199.88/201.00 [5903]~P109(x59031)+~E(f293(x59031,x59032,x59033),f178(f905(x59031,a894)))+~P1(f317(f317(f225(x59031),x59032),x59033)) % 199.88/201.00 [5904]~P109(x59041)+~E(f178(f905(x59041,a894)),f295(x59041,x59042,x59043))+~P1(f317(f317(f226(x59041),x59042),x59043)) % 199.88/201.00 [5905]~P109(x59051)+~E(f178(f905(x59051,a894)),f293(x59051,x59052,x59053))+~P1(f317(f317(f225(x59051),x59052),x59053)) % 199.88/201.00 [5915]P1(f317(x59151,x59152))+~P1(f317(x59151,f353(x59151,x59153)))+~P1(f317(f317(f225(a898),x59152),x59153)) % 199.88/201.00 [5916]P1(f317(x59161,x59162))+~P1(f317(x59161,f374(x59161,x59163)))+~P1(f317(f317(f226(a898),x59162),x59163)) % 199.88/201.00 [5924]~E(x59241,f317(a102,x59243))+P1(f317(f317(f226(a898),x59241),f317(a102,x59242)))+~P1(f317(f317(f226(a898),x59243),x59242)) % 199.88/201.00 [5943]E(x59431,x59432)+~E(f317(f317(f75(a898),x59433),x59431),f317(f317(f75(a898),x59433),x59432))+~P1(f317(f317(f226(a898),f2(a898)),x59433)) % 199.88/201.00 [6004]E(f317(x60041,f412(x60041,x60042,x60043)),f72(a898))+~E(f317(f317(f6(x60043,a898),x60041),x60042),f72(a898))+~P1(f317(f28(x60043),x60042)) % 199.88/201.00 [6021]~P5(x60211)+P1(f317(f317(f225(x60211),x60212),f31(x60211,x60213)))+~P1(f317(f317(f319(x60211),x60212),x60213)) % 199.88/201.00 [6044]~P65(x60441)+~P1(f317(f317(f226(x60441),x60443),x60442))+~P1(f317(f317(f225(x60441),x60442),x60443)) % 199.88/201.00 [6048]~P65(x60481)+~P1(f317(f317(f226(x60481),x60483),x60482))+~P1(f317(f317(f226(x60481),x60482),x60483)) % 199.88/201.00 [6051]~P108(x60511)+~P1(f317(f317(f226(x60511),x60513),x60512))+~P1(f317(f317(f225(x60511),x60512),x60513)) % 199.88/201.00 [6052]~P108(x60521)+~P1(f317(f317(f226(x60521),x60523),x60522))+~P1(f317(f317(f226(x60521),x60522),x60523)) % 199.88/201.00 [6053]~P109(x60531)+~P1(f317(f317(f226(x60531),x60533),x60532))+~P1(f317(f317(f226(x60531),x60532),x60533)) % 199.88/201.00 [6073]~E(x60732,x60733)+~E(x60731,x60732)+E(f280(a898,f277(a898),x60731,x60732),f317(f317(f299(a898),x60733),f178(f905(a898,a894)))) % 199.88/201.00 [6080]~E(f317(x60802,f867(x60802,x60803,x60801)),f72(a898))+E(f317(f317(f9(x60801,a898),x60802),x60803),f72(a898))+~P1(f317(f28(x60801),x60803)) % 199.88/201.00 [6081]~E(f317(x60812,f413(x60812,x60813,x60811)),f2(a898))+E(f317(f317(f6(x60811,a898),x60812),x60813),f2(a898))+~P1(f317(f28(x60811),x60813)) % 199.88/201.00 [6097]~P107(x60971)+~P1(f317(f317(f225(x60971),x60973),x60972))+P1(f317(f317(f319(x60971),x60972),f317(f273(x60971),x60973))) % 199.88/201.00 [6098]~P107(x60981)+~P1(f317(f317(f226(x60981),x60983),x60982))+P1(f317(f317(f319(x60981),x60982),f317(f294(x60981),x60983))) % 199.88/201.00 [6099]~P107(x60991)+~P1(f317(f317(f226(x60991),x60992),x60993))+P1(f317(f317(f319(x60991),x60992),f317(f272(x60991),x60993))) % 199.88/201.00 [6100]~P107(x61001)+~P1(f317(f317(f225(x61001),x61002),x61003))+P1(f317(f317(f319(x61001),x61002),f317(f291(x61001),x61003))) % 199.88/201.00 [6101]~P111(x61011)+~P1(f317(f317(f277(x61011),x61012),x61013))+P1(f317(f317(f277(x61011),x61012),f317(f70(x61011),x61013))) % 199.88/201.00 [6102]~P114(x61021)+~P1(f317(f317(f277(x61021),x61022),x61023))+P1(f317(f317(f277(x61021),x61022),f317(f73(x61021),x61023))) % 199.88/201.00 [6114]E(f317(x61141,f415(x61141,x61142,x61143)),f317(a102,f2(a898)))+~E(f317(f317(f6(x61143,a898),x61141),x61142),f317(a102,f2(a898)))+~P1(f317(f28(x61143),x61142)) % 199.88/201.00 [6197]~P5(x61971)+~P1(f317(f317(f319(x61971),x61973),x61972))+P1(f317(f317(f225(x61971),f32(x61971,x61972)),x61973)) % 199.88/201.00 [6218]~P1(f317(f317(f225(a898),x62181),x62183))+P1(f317(f317(f225(a898),x62181),x62182))+~P1(f317(f317(f225(a898),x62183),x62182)) % 199.88/201.00 [6219]~P1(f317(f317(f225(a1),x62191),x62193))+P1(f317(f317(f225(a1),x62191),x62192))+~P1(f317(f317(f225(a1),x62193),x62192)) % 199.88/201.00 [6220]~P1(f317(f317(f277(a898),x62201),x62203))+P1(f317(f317(f277(a898),x62201),x62202))+~P1(f317(f317(f277(a898),x62203),x62202)) % 199.88/201.00 [6240]~P107(x62401)+~P1(f317(f317(f319(x62401),x62403),f317(f273(x62401),x62402)))+P1(f317(f317(f225(x62401),x62402),x62403)) % 199.88/201.00 [6241]~P107(x62411)+~P1(f317(f317(f319(x62411),x62412),f317(f291(x62411),x62413)))+P1(f317(f317(f225(x62411),x62412),x62413)) % 199.88/201.00 [6242]~P107(x62421)+~P1(f317(f317(f319(x62421),x62423),f317(f294(x62421),x62422)))+P1(f317(f317(f226(x62421),x62422),x62423)) % 199.88/201.00 [6243]~P107(x62431)+~P1(f317(f317(f319(x62431),x62432),f317(f272(x62431),x62433)))+P1(f317(f317(f226(x62431),x62432),x62433)) % 199.88/201.00 [6244]~P111(x62441)+~P1(f317(f317(f277(x62441),x62442),f317(f70(x62441),x62443)))+P1(f317(f317(f277(x62441),x62442),x62443)) % 199.88/201.00 [6245]~P114(x62451)+~P1(f317(f317(f277(x62451),x62452),f317(f73(x62451),x62453)))+P1(f317(f317(f277(x62451),x62452),x62453)) % 199.88/201.00 [6320]~P1(f317(x63201,x63202))+P1(f317(x63201,f760(x63201)))+~P1(f317(f317(f319(x63203),x63202),f232(f905(x63203,a894)))) % 199.88/201.00 [6468]~P63(x64681)+P1(f317(f317(f226(x64681),f2(x64681)),f435(x64683,x64682,x64681)))+P1(f317(f317(f225(x64681),x64682),x64683)) % 199.88/201.00 [6469]~P64(x64691)+P1(f317(f317(f226(x64691),f2(x64691)),f745(x64693,x64692,x64691)))+P1(f317(f317(f225(x64691),x64692),x64693)) % 199.88/201.00 [6538]~P67(x65381)+~P1(f317(f317(f225(x65381),x65383),f317(f73(x65381),x65382)))+P1(f317(f317(f225(x65381),x65382),f317(f73(x65381),x65383))) % 199.88/201.00 [6540]~P67(x65401)+~P1(f317(f317(f226(x65401),x65403),f317(f73(x65401),x65402)))+P1(f317(f317(f226(x65401),x65402),f317(f73(x65401),x65403))) % 199.88/201.00 [6552]~P1(f317(f317(f226(a898),x65521),x65523))+~P1(f317(f317(f226(a898),x65523),x65522))+P1(f317(f317(f226(a898),f317(a102,x65521)),x65522)) % 199.88/201.00 [6583]~P110(x65831)+P1(f317(f317(f225(x65831),f317(f90(x65831),x65832)),f317(f90(x65831),x65833)))+~P1(f317(f317(f225(a898),x65832),x65833)) % 199.88/201.00 [6584]~P111(x65841)+P1(f317(f317(f225(x65841),f317(f93(x65841),x65842)),f317(f93(x65841),x65843)))+~P1(f317(f317(f225(a1),x65842),x65843)) % 199.88/201.00 [6586]~P111(x65861)+P1(f317(f317(f226(x65861),f317(f93(x65861),x65862)),f317(f93(x65861),x65863)))+~P1(f317(f317(f226(a1),x65862),x65863)) % 199.88/201.00 [6587]~P110(x65871)+P1(f317(f317(f226(x65871),f317(f90(x65871),x65872)),f317(f90(x65871),x65873)))+~P1(f317(f317(f226(a898),x65872),x65873)) % 199.88/201.00 [6593]~P108(x65931)+E(f317(f317(f91(f905(x65931,a894)),f317(f272(x65931),x65932)),f317(f292(x65931,x65932),x65933)),f317(f272(x65931),x65933))+~P1(f317(f317(f225(x65931),x65932),x65933)) % 199.88/201.00 [6623]~P67(x66231)+~P1(f317(f317(f225(x66231),x66233),x66232))+P1(f317(f317(f225(x66231),f317(f73(x66231),x66232)),f317(f73(x66231),x66233))) % 199.88/201.00 [6625]~P96(x66251)+~P1(f317(f317(f225(x66251),x66253),x66252))+P1(f317(f317(f225(x66251),f317(f73(x66251),x66252)),f317(f73(x66251),x66253))) % 199.88/201.00 [6626]~P67(x66261)+~P1(f317(f317(f226(x66261),x66263),x66262))+P1(f317(f317(f226(x66261),f317(f73(x66261),x66262)),f317(f73(x66261),x66263))) % 199.88/201.00 [6662]~P108(x66621)+E(f317(f317(f91(f905(x66621,a894)),f317(f272(x66621),x66622)),f293(x66621,x66622,x66623)),f317(f291(x66621),x66623))+~P1(f317(f317(f225(x66621),x66622),x66623)) % 199.88/201.00 [6663]~P108(x66631)+E(f317(f317(f91(f905(x66631,a894)),f317(f291(x66631),x66632)),f296(x66631,x66632,x66633)),f317(f272(x66631),x66633))+~P1(f317(f317(f226(x66631),x66632),x66633)) % 199.88/201.00 [6664]~P108(x66641)+E(f317(f317(f91(f905(x66641,a894)),f317(f291(x66641),x66642)),f295(x66641,x66642,x66643)),f317(f291(x66641),x66643))+~P1(f317(f317(f225(x66641),x66642),x66643)) % 199.88/201.00 [6698]~P108(x66981)+E(f317(f317(f91(f905(x66981,a894)),f317(f292(x66981,x66982),x66983)),f317(f273(x66981),x66983)),f317(f273(x66981),x66982))+~P1(f317(f317(f225(x66981),x66982),x66983)) % 199.88/201.00 [6859]~P108(x68591)+E(f317(f317(f91(f905(x68591,a894)),f296(x68591,x68592,x68593)),f317(f273(x68591),x68593)),f317(f294(x68591),x68592))+~P1(f317(f317(f226(x68591),x68592),x68593)) % 199.88/201.00 [6860]~P108(x68601)+E(f317(f317(f91(f905(x68601,a894)),f295(x68601,x68602,x68603)),f317(f294(x68601),x68603)),f317(f294(x68601),x68602))+~P1(f317(f317(f225(x68601),x68602),x68603)) % 199.88/201.00 [6861]~P108(x68611)+E(f317(f317(f91(f905(x68611,a894)),f293(x68611,x68612,x68613)),f317(f294(x68611),x68613)),f317(f273(x68611),x68612))+~P1(f317(f317(f225(x68611),x68612),x68613)) % 199.88/201.00 [6880]P1(f317(x68801,x68802))+~P1(f317(f317(f225(a898),x68802),x68803))+P1(f317(f317(f319(a898),f353(x68801,x68803)),f293(a898,f2(a898),x68803))) % 199.88/201.00 [6914]E(x69141,x69142)+~E(f317(f317(f154(x69143),x69141),f633(x69143,x69142,x69141)),f317(f317(f154(x69143),x69142),f633(x69143,x69142,x69141)))+~E(f317(f179(f899(x69143)),x69141),f317(f179(f899(x69143)),x69142)) % 199.88/201.00 [6919]~E(x69193,f317(f317(f30(a898),x69191),x69192))+~P1(f317(f317(f226(a898),f2(a898)),x69192))+P1(f317(f317(f226(a898),x69191),f317(f317(f75(a898),x69192),f317(a102,x69193)))) % 199.88/201.00 [6935]~P1(f317(x69351,x69353))+~P1(f317(f317(f225(a898),x69353),x69352))+P1(f317(f317(f319(a898),f352(x69351,x69352)),f293(a898,f2(a898),x69352))) % 199.88/201.00 [6974]~P1(f317(x69741,x69743))+P1(f317(x69741,f376(x69741,x69742)))+~P1(f317(f317(f319(a898),x69743),f293(a898,f2(a898),x69742))) % 199.88/201.00 [6995]~P110(x69953)+~P1(f317(f317(f225(x69953),f317(f90(x69953),x69951)),f317(f90(x69953),x69952)))+P1(f317(f317(f225(a898),x69951),x69952)) % 199.88/201.00 [6996]~P111(x69963)+~P1(f317(f317(f225(x69963),f317(f93(x69963),x69961)),f317(f93(x69963),x69962)))+P1(f317(f317(f225(a1),x69961),x69962)) % 199.88/201.00 [6998]~P110(x69983)+~P1(f317(f317(f226(x69983),f317(f90(x69983),x69981)),f317(f90(x69983),x69982)))+P1(f317(f317(f226(a898),x69981),x69982)) % 199.88/201.00 [6999]~P111(x69993)+~P1(f317(f317(f226(x69993),f317(f93(x69993),x69991)),f317(f93(x69993),x69992)))+P1(f317(f317(f226(a1),x69991),x69992)) % 199.88/201.00 [7017]~P110(x70171)+~P1(f317(f317(f226(x70171),f72(x70171)),x70172))+P1(f317(f317(f226(x70171),f72(x70171)),f317(f317(f234(x70171),x70172),f317(a102,x70173)))) % 199.88/201.00 [7020]~P67(x70201)+~P1(f317(f317(f225(x70201),f317(f73(x70201),x70203)),f317(f73(x70201),x70202)))+P1(f317(f317(f225(x70201),x70202),x70203)) % 199.88/201.00 [7021]~P96(x70211)+~P1(f317(f317(f225(x70211),f317(f73(x70211),x70213)),f317(f73(x70211),x70212)))+P1(f317(f317(f225(x70211),x70212),x70213)) % 199.88/201.00 [7022]~P67(x70221)+~P1(f317(f317(f226(x70221),f317(f73(x70221),x70223)),f317(f73(x70221),x70222)))+P1(f317(f317(f226(x70221),x70222),x70223)) % 199.88/201.00 [7046]P1(f317(x70461,x70462))+~P1(f317(x70461,f354(x70461,x70463)))+~P1(f317(f317(f319(a898),x70462),f293(a898,f2(a898),x70463))) % 199.88/201.00 [7068]~P63(x70681)+P1(f317(f317(f226(x70681),f435(x70683,x70682,x70681)),f72(x70681)))+P1(f317(f317(f225(x70681),x70682),x70683)) % 199.88/201.00 [7088]~E(f40(a898,x70883,x70882),f40(a898,x70881,x70882))+E(f317(f317(f74(a898),x70881),f317(f317(f75(a898),x70882),f557(x70881,x70882,x70883))),x70883)+~P1(f317(f317(f225(a898),x70881),x70883)) % 199.88/201.00 [7143]E(f317(f317(f9(x71431,a898),x71432),x71433),f72(a898))+~P1(f317(f28(x71431),x71433))+P1(f317(f317(f319(x71431),f867(x71432,x71433,x71431)),x71433)) % 199.88/201.00 [7144]E(f317(f317(f6(x71441,a898),x71442),x71443),f2(a898))+~P1(f317(f28(x71441),x71443))+P1(f317(f317(f319(x71441),f413(x71442,x71443,x71441)),x71443)) % 199.88/201.00 [7166]~P108(x71661)+~P1(f317(f317(f225(x71661),x71662),x71663))+P1(f317(f317(f225(f905(x71661,a894)),f317(f272(x71661),x71662)),f317(f272(x71661),x71663))) % 199.88/201.00 [7167]~P109(x71671)+~P1(f317(f317(f225(x71671),x71672),x71673))+P1(f317(f317(f225(f905(x71671,a894)),f317(f291(x71671),x71672)),f317(f291(x71671),x71673))) % 199.88/201.00 [7168]~P109(x71681)+~P1(f317(f317(f225(x71681),x71683),x71682))+P1(f317(f317(f225(f905(x71681,a894)),f317(f273(x71681),x71682)),f317(f273(x71681),x71683))) % 199.88/201.00 [7169]~P108(x71691)+~P1(f317(f317(f225(x71691),x71693),x71692))+P1(f317(f317(f225(f905(x71691,a894)),f317(f294(x71691),x71692)),f317(f294(x71691),x71693))) % 199.88/201.00 [7170]~P108(x71701)+~P1(f317(f317(f226(x71701),x71702),x71703))+P1(f317(f317(f226(f905(x71701,a894)),f317(f272(x71701),x71702)),f317(f272(x71701),x71703))) % 199.88/201.00 [7181]~P5(x71811)+P1(f317(f317(f225(x71811),x71812),f32(x71811,x71813)))+P1(f317(f317(f319(x71811),f476(x71813,x71812,x71811)),x71813)) % 199.88/201.00 [7187]~P67(x71871)+P1(f317(f317(f225(x71871),f317(f317(f23(x71871),x71872),x71873)),f2(x71871)))+~P1(f317(f317(f225(x71871),x71872),x71873)) % 199.88/201.00 [7188]~P67(x71881)+P1(f317(f317(f226(x71881),f317(f317(f23(x71881),x71882),x71883)),f2(x71881)))+~P1(f317(f317(f226(x71881),x71882),x71883)) % 199.88/201.00 [7230]P1(f317(x72301,x72302))+P1(f317(f317(f225(a898),f354(x72301,x72303)),x72303))+~P1(f317(f317(f319(a898),x72302),f293(a898,f2(a898),x72303))) % 199.88/201.00 [7272]~E(f317(f317(f6(x72721,a898),x72722),x72723),f72(a898))+~P1(f317(f28(x72721),x72723))+P1(f317(f317(f319(x72721),f412(x72722,x72723,x72721)),x72723)) % 199.88/201.00 [7273]~P1(f317(x72731,x72733))+P1(f317(f317(f225(a898),f376(x72731,x72732)),x72732))+~P1(f317(f317(f319(a898),x72733),f293(a898,f2(a898),x72732))) % 199.88/201.00 [7311]~P5(x73111)+P1(f317(f317(f319(x73111),f479(x73113,x73112,x73111)),x73112))+P1(f317(f317(f225(x73111),f31(x73111,x73112)),x73113)) % 199.88/201.00 [7345]~E(f317(f317(f6(x73451,a898),x73452),x73453),f317(a102,f2(a898)))+~P1(f317(f28(x73451),x73453))+P1(f317(f317(f319(x73451),f415(x73452,x73453,x73451)),x73453)) % 199.88/201.00 [7356]E(x73561,f2(a898))+P1(f317(x73562,f40(a898,x73563,x73561)))+P1(f317(f317(f226(a898),f864(x73561,x73563,x73562)),x73561)) % 199.88/201.00 [7468]~P1(f317(x74681,x74682))+P1(f317(x74681,f40(a898,x74682,x74683)))+P1(f317(f317(f226(a898),f864(x74683,x74682,x74681)),x74683)) % 199.88/201.00 [7581]E(x75811,f103(x75812))+~P1(f317(f317(f319(f899(x75812)),x75811),f151(x75812,x75813)))+P1(f317(f317(f319(x75812),f667(x75813,x75811,x75812)),x75813)) % 199.88/201.00 [7604]~P108(x76041)+E(f317(f317(f91(f905(x76041,a894)),f317(f317(f299(x76041),x76042),f178(f905(x76041,a894)))),f296(x76041,x76042,x76043)),f317(f292(x76041,x76042),x76043))+~P1(f317(f317(f226(x76041),x76042),x76043)) % 199.88/201.00 [7627]~P108(x76271)+E(f317(f317(f91(f905(x76271,a894)),f317(f317(f299(x76271),x76272),f178(f905(x76271,a894)))),f295(x76271,x76272,x76273)),f293(x76271,x76272,x76273))+~P1(f317(f317(f225(x76271),x76272),x76273)) % 199.88/201.00 [7738]~P108(x77381)+P1(f317(f317(f225(x77381),x77382),x77383))+~P1(f317(f317(f225(f905(x77381,a894)),f317(f294(x77381),x77383)),f317(f294(x77381),x77382))) % 199.88/201.00 [7739]~P109(x77391)+P1(f317(f317(f225(x77391),x77392),x77393))+~P1(f317(f317(f225(f905(x77391,a894)),f317(f273(x77391),x77393)),f317(f273(x77391),x77392))) % 199.88/201.00 [7740]~P108(x77401)+P1(f317(f317(f225(x77401),x77402),x77403))+~P1(f317(f317(f225(f905(x77401,a894)),f317(f272(x77401),x77402)),f317(f272(x77401),x77403))) % 199.88/201.00 [7741]~P109(x77411)+P1(f317(f317(f225(x77411),x77412),x77413))+~P1(f317(f317(f225(f905(x77411,a894)),f317(f291(x77411),x77412)),f317(f291(x77411),x77413))) % 199.88/201.00 [7742]~P108(x77421)+P1(f317(f317(f226(x77421),x77422),x77423))+~P1(f317(f317(f226(f905(x77421,a894)),f317(f272(x77421),x77422)),f317(f272(x77421),x77423))) % 199.88/201.00 [7765]~P67(x77651)+~P1(f317(f317(f225(x77651),f317(f317(f23(x77651),x77652),x77653)),f2(x77651)))+P1(f317(f317(f225(x77651),x77652),x77653)) % 199.88/201.00 [7766]~P67(x77661)+~P1(f317(f317(f226(x77661),f317(f317(f23(x77661),x77662),x77663)),f2(x77661)))+P1(f317(f317(f226(x77661),x77662),x77663)) % 199.88/201.00 [7923]E(x79231,f2(a898))+~E(f317(f132(a898,a898,f74(a898),x79232),x79233),f2(a898))+~P1(f317(f317(f319(a898),x79231),f317(f162(a898),x79233))) % 199.88/201.00 [7927]~P5(x79271)+~P1(f317(f317(f225(x79271),f479(x79273,x79272,x79271)),x79273))+P1(f317(f317(f225(x79271),f31(x79271,x79272)),x79273)) % 199.88/201.00 [8081]P1(f317(f317(f225(a1),f2(a1)),f859(x80811,x80812,x80813)))+P1(f317(f317(x80812,f317(f317(f30(a1),x80811),x80813)),f40(a1,x80811,x80813)))+~P1(f317(f317(f226(a1),f2(a1)),x80813)) % 199.88/201.00 [8169]E(x81691,x81692)+~E(f317(f179(f899(x81693)),x81691),f317(f179(f899(x81693)),x81692))+~P1(f317(f317(f247(x81693,x81693,a894),a314),f640(x81693,x81691,x81692))) % 199.88/201.00 [8240]~P36(x82402,x82403)+E(x82401,f178(f905(x82402,a894)))+~P1(f317(f317(f225(f905(x82402,a894)),x82401),f317(f275(x82402,x82402,x82403),x82401))) % 199.88/201.00 [8271]~P64(x82711)+~P1(f317(f317(f225(x82711),x82712),f317(f317(f74(x82711),x82713),f745(x82713,x82712,x82711))))+P1(f317(f317(f225(x82711),x82712),x82713)) % 199.88/201.00 [8306]P52(x83061,x83062,x83063)+P1(f317(f317(f319(x83061),f543(x83063,x83062,x83061)),x83062))+P1(f317(f317(f319(f904(x83061,x83061)),f542(x83063,x83062,x83061)),x83063)) % 199.88/201.00 [8327]P1(f317(f317(x83272,f317(f317(f30(a1),x83271),x83273)),f40(a1,x83271,x83273)))+~P1(f317(f317(f226(a1),f2(a1)),x83273))+P1(f317(f317(f226(a1),f859(x83271,x83272,x83273)),x83273)) % 199.88/201.00 [8352]E(f317(f300(a898,a898,f317(f317(f7(a898,a898,a898),f23(a898)),x83521)),f317(f292(a898,x83522),x83523)),f178(f905(a898,a894)))+P1(f317(f317(f226(a898),x83521),x83523))+P1(f317(f317(f226(a898),x83522),x83523)) % 199.88/201.00 [8463]E(f317(f300(a898,a898,f317(f317(f7(a898,a898,a898),f23(a898)),x84631)),f317(f292(a898,x84632),x84633)),f317(f317(f299(a898),f2(a898)),f178(f905(a898,a894))))+P1(f317(f317(f226(a898),x84631),x84633))+~P1(f317(f317(f226(a898),x84632),x84633)) % 199.88/201.00 [8477]~P108(x84771)+E(f139(x84771,x84771,f5(x84771),x84772,x84773),x84773)+~P1(f317(f317(f319(x84771),x84772),f317(f162(x84771),x84773))) % 199.88/201.00 [8490]P24(x84901,x84901,x84902,x84903)+~P1(f317(f28(x84901),x84903))+~P1(f317(f317(f225(f905(x84901,a894)),x84903),f317(f300(x84901,x84901,x84902),x84903))) % 199.88/201.00 [8516]E(f317(f317(f74(a1),f317(f317(f75(a1),x85161),f860(x85162,x85163,x85161))),f859(x85162,x85163,x85161)),x85162)+P1(f317(f317(x85163,f317(f317(f30(a1),x85162),x85161)),f40(a1,x85162,x85161)))+~P1(f317(f317(f226(a1),f2(a1)),x85161)) % 199.88/201.00 [8753]~P1(f317(f317(x87531,f860(x87532,x87531,x87533)),f859(x87532,x87531,x87533)))+P1(f317(f317(x87531,f317(f317(f30(a1),x87532),x87533)),f40(a1,x87532,x87533)))+~P1(f317(f317(f226(a1),f2(a1)),x87533)) % 199.88/201.00 [9652]~P1(f317(f28(x96521),x96522))+~P1(f317(f317(f319(x96521),x96523),x96522))+P1(f317(f317(f226(a898),f317(f29(x96521),f317(f317(f23(f905(x96521,a894)),x96522),f317(f317(f299(x96521),x96523),f178(f905(x96521,a894)))))),f317(f29(x96521),x96522))) % 199.88/201.00 [10252]P52(x102521,x102522,x102523)+~P1(f317(f317(f247(x102521,x102521,a894),f317(f317(f7(x102521,f905(x102521,a894),f905(x102521,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x102521,a894),f905(x102521,a894)),x102521),f8(a894,a894,x102521)),f317(f317(f8(a894,f905(a894,a894),x102521),a315),f317(f317(f7(x102521,f905(x102521,a894),a894),f319(x102521)),x102522)))),f317(f317(f7(x102521,f905(x102521,a894),a894),f319(x102521)),x102522))),f542(x102523,x102522,x102521)))+P1(f317(f317(f319(x102521),f543(x102523,x102522,x102521)),x102522)) % 199.88/201.00 [5544]~P122(x55442)+E(x55441,f2(x55442))+E(f317(f317(f281(x55442),x55443),f317(f73(x55442),x55441)),f317(f73(x55442),f317(f317(f281(x55442),x55443),x55441))) % 199.88/201.00 [5684]~E(x56843,f178(f905(x56841,a894)))+~E(x56842,f178(f905(x56841,a894)))+E(f317(f317(f91(f905(x56841,a894)),x56842),x56843),f178(f905(x56841,a894))) % 199.88/201.00 [5742]~E(x57423,f2(a898))+~P1(f317(x57421,f2(a898)))+P1(f317(x57421,f317(f317(f30(a898),x57422),x57423))) % 199.88/201.00 [5894]~P64(x58942)+E(x58941,f2(x58942))+E(f317(f317(f281(x58942),f317(f70(x58942),x58943)),f317(f70(x58942),x58941)),f317(f70(x58942),f317(f317(f281(x58942),x58943),x58941))) % 199.88/201.00 [5993]~P112(x59931)+~E(x59932,f72(x59931))+P1(f317(f317(f277(x59931),x59932),f317(f317(f234(x59931),x59932),x59933))) % 199.88/201.00 [6014]~P3(x60141)+E(f317(f317(f75(x60141),x60142),f317(f317(f30(x60141),x60143),x60142)),x60143)+~P1(f317(f317(f277(x60141),x60142),x60143)) % 199.88/201.00 [6069]~P1(f317(f28(x60691),x60693))+E(f317(f29(x60691),f317(f317(f299(x60691),x60692),x60693)),f317(a102,f317(f29(x60691),x60693)))+P1(f317(f317(f319(x60691),x60692),x60693)) % 199.88/201.00 [6146]~E(x61462,f2(a898))+P1(f317(x61461,f2(a898)))+~P1(f317(x61461,f317(f317(f30(a898),x61463),x61462))) % 199.88/201.00 [6163]~P1(f317(f28(x61631),x61633))+E(f317(f29(x61631),f317(f317(f299(x61631),x61632),x61633)),f317(f29(x61631),x61633))+~P1(f317(f317(f319(x61631),x61632),x61633)) % 199.88/201.00 [6199]~P1(f317(f28(x61991),x61993))+E(f317(f29(x61991),f317(f317(f299(x61991),x61992),x61993)),f317(f317(f74(a898),f72(a898)),f317(f29(x61991),x61993)))+P1(f317(f317(f319(x61991),x61992),x61993)) % 199.88/201.00 [6206]~P4(x62061)+E(f317(f317(f30(x62061),x62062),f317(f73(x62061),x62063)),f317(f73(x62061),f317(f317(f30(x62061),x62062),x62063)))+~P1(f317(f317(f277(x62061),x62063),x62062)) % 199.88/201.00 [6321]E(f317(f317(f74(a898),x63211),f477(x63211,x63212,x63213)),x63212)+~P1(f317(x63213,f2(a898)))+P1(f317(x63213,f317(f317(f23(a898),x63212),x63211))) % 199.88/201.00 [6322]E(f317(f317(f74(a898),x63221),f488(x63221,x63222,x63223)),x63222)+~P1(f317(x63223,f2(a898)))+P1(f317(x63223,f317(f317(f23(a898),x63222),x63221))) % 199.88/201.00 [6347]~P4(x63471)+E(f317(f317(f30(x63471),f317(f73(x63471),x63472)),x63473),f317(f73(x63471),f317(f317(f30(x63471),x63472),x63473)))+~P1(f317(f317(f277(x63471),x63473),x63472)) % 199.88/201.00 [6371]~P5(x63711)+~P1(f317(f28(x63711),x63713))+E(f317(f317(f58(x63711,x63711,f91(x63711)),x63712),x63713),f317(f317(f91(x63711),x63712),f31(x63711,x63713))) % 199.88/201.00 [6372]~P5(x63721)+~P1(f317(f28(x63721),x63723))+E(f317(f317(f58(x63721,x63721,f92(x63721)),x63722),x63723),f317(f317(f92(x63721),x63722),f32(x63721,x63723))) % 199.88/201.00 [6378]~P93(x63781)+~E(f317(f94(x63781),x63782),f317(f94(x63781),x63783))+P27(x63781,f317(f94(x63781),f317(f317(f74(a1),x63782),f317(f73(a1),x63783)))) % 199.88/201.00 [6388]~P128(x63881)+E(f317(f317(f23(x63881),f317(f90(x63881),x63882)),f317(f90(x63881),x63883)),f317(f90(x63881),f317(f317(f23(a898),x63882),x63883)))+~P1(f317(f317(f225(a898),x63883),x63882)) % 199.88/201.00 [6395]~P111(x63951)+~P1(f317(f317(f277(x63951),x63952),x63953))+P1(f317(f317(f277(x63951),f317(f70(x63951),x63952)),x63953)) % 199.88/201.00 [6396]~P114(x63961)+~P1(f317(f317(f277(x63961),x63962),x63963))+P1(f317(f317(f277(x63961),f317(f73(x63961),x63962)),x63963)) % 199.88/201.00 [6479]E(f317(f317(f74(a898),x64791),f477(x64791,x64792,x64793)),x64792)+P1(f317(f317(f226(a898),x64792),x64791))+P1(f317(x64793,f317(f317(f23(a898),x64792),x64791))) % 199.88/201.00 [6480]E(f317(f317(f74(a898),x64801),f488(x64801,x64802,x64803)),x64802)+P1(f317(f317(f226(a898),x64802),x64801))+P1(f317(x64803,f317(f317(f23(a898),x64802),x64801))) % 199.88/201.00 [6496]~P111(x64961)+E(f317(f317(f75(x64961),f317(f70(x64961),x64962)),x64963),f317(f70(x64961),f317(f317(f75(x64961),x64962),x64963)))+~P1(f317(f317(f225(x64961),f2(x64961)),x64963)) % 199.88/201.00 [6497]~P63(x64971)+E(f317(f317(f281(x64971),f317(f70(x64971),x64972)),x64973),f317(f70(x64971),f317(f317(f281(x64971),x64972),x64973)))+~P1(f317(f317(f226(x64971),f2(x64971)),x64973)) % 199.88/201.00 [6506]~P108(x65061)+~P1(f317(f28(x65061),x65063))+E(f317(f317(f58(x65061,x65061,f229(x65061)),x65062),x65063),f14(x65061,f317(f317(f299(x65061),x65062),x65063))) % 199.88/201.00 [6507]~P108(x65071)+~P1(f317(f28(x65071),x65073))+E(f317(f317(f58(x65071,x65071,f224(x65071)),x65072),x65073),f15(x65071,f317(f317(f299(x65071),x65072),x65073))) % 199.88/201.00 [6508]~P98(x65081)+~P1(f317(f28(x65081),x65083))+E(f317(f317(f58(x65081,x65081,f91(x65081)),x65082),x65083),f13(x65081,f317(f317(f299(x65081),x65082),x65083))) % 199.88/201.00 [6509]~P98(x65091)+~P1(f317(f28(x65091),x65093))+E(f317(f317(f58(x65091,x65091,f92(x65091)),x65092),x65093),f10(x65091,f317(f317(f299(x65091),x65092),x65093))) % 199.88/201.00 [6554]E(x65541,f103(x65542))+~E(f169(x65542,x65543),f103(f899(x65542)))+~P1(f317(f317(f319(f899(x65542)),x65541),f317(f162(f899(x65542)),x65543))) % 199.88/201.00 [6573]~P112(x65731)+~P1(f317(f317(f226(a898),f2(a898)),x65733))+P1(f317(f317(f277(x65731),x65732),f317(f317(f234(x65731),x65732),x65733))) % 199.88/201.00 [6601]~P1(f317(f127(x66011),x66013))+P1(f317(f317(f319(x66011),x66012),f317(f162(x66011),x66013)))+P1(f317(f127(x66011),f317(f317(f141(x66011),x66012),x66013))) % 199.88/201.00 [6612]~P97(x66121)+~P1(f317(f28(x66121),x66123))+E(f317(f57(x66121,f75(x66121)),f317(f317(f299(x66121),x66122),x66123)),f317(f317(f58(x66121,x66121,f75(x66121)),x66122),x66123)) % 199.88/201.00 [6634]~P108(x66341)+~P1(f317(f28(x66341),x66343))+E(f11(x66341,f229(x66341),f317(f317(f299(x66341),x66342),x66343)),f317(f317(f58(x66341,x66341,f229(x66341)),x66342),x66343)) % 199.88/201.00 [6635]~P108(x66351)+~P1(f317(f28(x66351),x66353))+E(f12(x66351,f224(x66351),f317(f317(f299(x66351),x66352),x66353)),f317(f317(f58(x66351,x66351,f224(x66351)),x66352),x66353)) % 199.88/201.00 [6637]P1(f317(x66371,f2(a898)))+~P1(f317(f317(f226(a898),x66372),x66373))+~P1(f317(x66371,f317(f317(f23(a898),x66372),x66373))) % 199.88/201.00 [6658]~P85(x66581)+P1(f317(f317(f225(x66581),x66582),x66583))+~P1(f317(f317(f225(x66581),f317(f70(x66581),x66582)),x66583)) % 199.88/201.00 [6659]~P111(x66591)+P1(f317(f317(f226(x66591),x66592),x66593))+~P1(f317(f317(f226(x66591),f317(f70(x66591),x66592)),x66593)) % 199.88/201.00 [6660]~P111(x66601)+P1(f317(f317(f277(x66601),x66602),x66603))+~P1(f317(f317(f277(x66601),f317(f70(x66601),x66602)),x66603)) % 199.88/201.00 [6661]~P114(x66611)+P1(f317(f317(f277(x66611),x66612),x66613))+~P1(f317(f317(f277(x66611),f317(f73(x66611),x66612)),x66613)) % 199.88/201.00 [6678]E(x66781,f103(x66782))+E(f317(f131(x66782),f317(f317(f128(x66782),x66783),x66781)),f317(f317(f154(x66782),x66781),x66783))+~P1(f317(f317(f226(a898),x66783),f317(f179(f899(x66782)),x66781))) % 199.88/201.00 [6733]~P1(f317(x67331,x67333))+P1(f317(x67331,f379(x67331,x67332)))+~P1(f317(f317(f319(a898),x67333),f317(f292(a898,f2(a898)),x67332))) % 199.88/201.00 [6753]P1(f317(x67531,x67532))+~P1(f317(f317(f226(a898),x67532),x67533))+P1(f317(f317(f319(a898),f374(x67531,x67533)),f317(f292(a898,f2(a898)),x67533))) % 199.88/201.00 [6768]~P110(x67681)+~P1(f317(f317(f225(x67681),f72(x67681)),x67682))+P1(f317(f317(f225(x67681),f72(x67681)),f317(f317(f234(x67681),x67682),x67683))) % 199.88/201.00 [6770]~P110(x67701)+~P1(f317(f317(f225(x67701),f2(x67701)),x67702))+P1(f317(f317(f225(x67701),f2(x67701)),f317(f317(f234(x67701),x67702),x67703))) % 199.88/201.00 [6772]~P110(x67721)+~P1(f317(f317(f226(x67721),f2(x67721)),x67722))+P1(f317(f317(f226(x67721),f2(x67721)),f317(f317(f234(x67721),x67722),x67723))) % 199.88/201.00 [6797]~P1(f317(x67971,x67973))+~P1(f317(f317(f226(a898),x67973),x67972))+P1(f317(f317(f319(a898),f373(x67971,x67972)),f317(f292(a898,f2(a898)),x67972))) % 199.88/201.00 [6805]P1(f317(f28(x68051),x68052))+~P1(f317(f28(x68051),x68053))+~P1(f317(f317(f225(f905(x68051,a894)),x68052),x68053)) % 199.88/201.00 [6812]~P1(f317(f317(f277(a898),x68121),x68122))+~P1(f317(f317(f277(a898),x68121),x68123))+P1(f317(f317(f277(a898),x68121),f317(f317(f23(a898),x68122),x68123))) % 199.88/201.00 [6813]P1(f317(x68131,x68132))+~P1(f317(x68131,f375(x68131,x68133)))+~P1(f317(f317(f319(a898),x68132),f317(f292(a898,f2(a898)),x68133))) % 199.88/201.00 [6826]E(x68261,f2(a898))+P1(f317(x68262,f862(x68261,x68263,x68262)))+~P1(f317(x68262,f317(f317(f30(a898),x68263),x68261))) % 199.88/201.00 [6834]~P125(x68342)+E(x68341,f2(x68342))+~E(f317(f317(f74(x68342),f317(f317(f75(x68342),x68343),x68343)),f317(f317(f75(x68342),x68341),x68341)),f2(x68342)) % 199.88/201.00 [6835]~P125(x68352)+E(x68351,f2(x68352))+~E(f317(f317(f74(x68352),f317(f317(f75(x68352),x68351),x68351)),f317(f317(f75(x68352),x68353),x68353)),f2(x68352)) % 199.88/201.00 [6881]E(x68811,f2(a898))+~P1(f317(x68812,f863(x68811,x68813,x68812)))+P1(f317(x68812,f317(f317(f30(a898),x68813),x68811))) % 199.88/201.00 [6886]~P108(x68861)+~P13(x68861,x68863)+P13(x68861,f317(f317(f138(x68861,x68861,f5(x68861)),x68862),x68863)) % 199.88/201.00 [6928]P1(f317(x69281,f862(x69282,x69283,x69281)))+P1(f317(x69281,f2(a898)))+~P1(f317(x69281,f317(f317(f30(a898),x69283),x69282))) % 199.88/201.00 [6934]~P93(x69341)+E(f317(f94(x69341),x69342),f317(f94(x69341),x69343))+~P27(x69341,f317(f94(x69341),f317(f317(f74(a1),x69342),f317(f73(a1),x69343)))) % 199.88/201.00 [7002]E(x70021,f2(a1))+E(x70022,f2(a1))+~P1(f317(f44(x70022,x70022),f317(f317(f242(a1,a1),x70023),x70021))) % 199.88/201.00 [7003]E(x70031,f72(a1))+E(x70032,f2(a1))+~P1(f317(f44(x70032,x70032),f317(f317(f242(a1,a1),x70031),x70033))) % 199.88/201.00 [7019]P1(f317(x70191,x70192))+P1(f317(f317(f226(a898),f375(x70191,x70193)),x70193))+~P1(f317(f317(f319(a898),x70192),f317(f292(a898,f2(a898)),x70193))) % 199.88/201.00 [7042]~P1(f317(x70421,f477(x70423,x70422,x70421)))+~P1(f317(x70421,f2(a898)))+P1(f317(x70421,f317(f317(f23(a898),x70422),x70423))) % 199.88/201.00 [7043]~P1(f317(x70431,f488(x70433,x70432,x70431)))+~P1(f317(x70431,f2(a898)))+P1(f317(x70431,f317(f317(f23(a898),x70432),x70433))) % 199.88/201.00 [7044]~P1(f317(x70441,f863(x70443,x70442,x70441)))+~P1(f317(x70441,f2(a898)))+P1(f317(x70441,f317(f317(f30(a898),x70442),x70443))) % 199.88/201.00 [7064]~P1(f317(x70641,x70643))+P1(f317(f317(f226(a898),f379(x70641,x70642)),x70642))+~P1(f317(f317(f319(a898),x70643),f317(f292(a898,f2(a898)),x70642))) % 199.88/201.00 [7065]E(f317(f317(f23(a898),f317(f317(f23(a898),x70651),x70652)),f317(f317(f23(a898),x70653),x70652)),f317(f317(f23(a898),x70651),x70653))+~P1(f317(f317(f225(a898),x70652),x70651))+~P1(f317(f317(f225(a898),x70652),x70653)) % 199.88/201.00 [7101]~P67(x71011)+~P1(f317(f317(f225(x71011),f317(f73(x71011),x71013)),x71012))+P1(f317(f317(f225(x71011),f317(f73(x71011),x71012)),x71013)) % 199.88/201.00 [7103]~P85(x71031)+~P1(f317(f317(f225(x71031),f317(f70(x71031),x71032)),x71033))+P1(f317(f317(f225(x71031),f317(f73(x71031),x71032)),x71033)) % 199.88/201.00 [7105]~P67(x71051)+~P1(f317(f317(f226(x71051),f317(f73(x71051),x71053)),x71052))+P1(f317(f317(f226(x71051),f317(f73(x71051),x71052)),x71053)) % 199.88/201.00 [7106]~P111(x71061)+~P1(f317(f317(f226(x71061),f317(f70(x71061),x71062)),x71063))+P1(f317(f317(f226(x71061),f317(f73(x71061),x71062)),x71063)) % 199.88/201.00 [7138]~P1(f317(x71383,f477(x71382,x71381,x71383)))+P1(f317(f317(f226(a898),x71381),x71382))+P1(f317(x71383,f317(f317(f23(a898),x71381),x71382))) % 199.88/201.00 [7139]~P1(f317(x71393,f488(x71392,x71391,x71393)))+P1(f317(f317(f226(a898),x71391),x71392))+P1(f317(x71393,f317(f317(f23(a898),x71391),x71392))) % 199.88/201.00 [7191]~E(f490(x71913,x71912,x71911),f491(x71913,x71912,x71911))+E(f317(f317(f92(f905(x71911,a894)),x71912),f31(f905(x71911,a894),x71913)),f178(f905(x71911,a894)))+P1(f317(f317(f319(f905(x71911,a894)),x71912),x71913)) % 199.88/201.00 [7199]~P1(f317(f28(x71991),x71993))+P1(f317(f28(x71991),f32(f905(x71991,a894),x71992)))+~P1(f317(f317(f319(f905(x71991,a894)),x71993),x71992)) % 199.88/201.00 [7259]~P108(x72591)+E(f317(f317(f91(f905(x72591,a894)),f317(f292(x72591,x72592),x72593)),f317(f317(f299(x72591),x72593),f178(f905(x72591,a894)))),f293(x72591,x72592,x72593))+~P1(f317(f317(f225(x72591),x72592),x72593)) % 199.88/201.00 [7262]E(x72621,f2(a898))+P1(f317(f317(f226(a898),f865(x72621,x72623,x72622)),x72621))+P1(f317(x72622,f317(f317(f30(a898),x72623),x72621))) % 199.88/201.00 [7291]P1(f317(f317(f226(a898),f317(f179(f899(x72911)),x72912)),f762(x72913,x72911)))+~P1(f317(f28(f899(x72911)),x72913))+~P1(f317(f317(f319(f899(x72911)),x72912),x72913)) % 199.88/201.00 [7297]E(x72971,x72972)+~P1(f317(f317(f225(f905(x72973,a894)),x72971),x72972))+P1(f317(f317(f226(f905(x72973,a894)),x72971),x72972)) % 199.88/201.00 [7308]E(x73081,x73082)+~E(f317(f179(f899(x73083)),x73081),f317(f179(f899(x73083)),x73082))+P1(f317(f317(f226(a898),f633(x73083,x73081,x73082)),f317(f179(f899(x73083)),x73082))) % 199.88/201.00 [7357]P8(x73571,x73572,x73573)+~E(f317(f254(x73571,x73571),x73573),x73572)+~E(f317(f317(f279(x73571,x73571,x73571),f317(f276(x73571,x73571),x73573)),x73573),x73573) % 199.88/201.00 [7437]~P1(f317(x74371,f2(a898)))+P1(f317(f317(f226(a898),f865(x74373,x74372,x74371)),x74373))+P1(f317(x74371,f317(f317(f30(a898),x74372),x74373))) % 199.88/201.00 [7447]~P108(x74471)+E(f317(f317(f91(f905(x74471,a894)),f296(x74471,x74472,x74473)),f317(f317(f299(x74471),x74473),f178(f905(x74471,a894)))),f295(x74471,x74472,x74473))+~P1(f317(f317(f226(x74471),x74472),x74473)) % 199.88/201.00 [7539]~P1(f317(f28(x75391),x75393))+P1(f317(f317(f225(a898),f317(f29(x75391),x75392)),f317(f29(x75391),x75393)))+~P1(f317(f317(f225(f905(x75391,a894)),x75392),x75393)) % 199.88/201.00 [7540]~P1(f317(f28(x75401),x75403))+P1(f317(f317(f226(a898),f317(f29(x75401),x75402)),f317(f29(x75401),x75403)))+~P1(f317(f317(f226(f905(x75401,a894)),x75402),x75403)) % 199.88/201.00 [7673]E(x76731,x76732)+~P1(f317(f317(f225(f905(x76733,a894)),x76732),x76731))+~P1(f317(f317(f225(f905(x76733,a894)),x76731),x76732)) % 199.88/201.00 [7676]~P108(x76761)+P13(x76761,x76762)+~P13(x76761,f317(f317(f138(x76761,x76761,f5(x76761)),x76763),x76762)) % 199.88/201.00 [7747]~P1(f317(f317(f226(a898),x77473),x77472))+~P1(f317(f317(f226(a898),x77473),x77471))+P1(f317(f317(f226(a898),f317(f317(f23(a898),x77471),x77472)),f317(f317(f23(a898),x77471),x77473))) % 199.88/201.00 [7748]~P1(f317(f317(f225(a898),x77482),x77481))+~P1(f317(f317(f226(a898),x77481),x77483))+P1(f317(f317(f226(a898),f317(f317(f23(a898),x77481),x77482)),f317(f317(f23(a898),x77483),x77482))) % 199.88/201.00 [7763]~P1(f317(f317(f226(a1),x77632),f2(a1)))+~P1(f317(f317(f225(a1),x77633),x77631))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x77631),x77632)),f317(f317(f30(a1),x77633),x77632))) % 199.88/201.00 [7780]~P1(f317(f317(f226(a898),f2(a898)),x77803))+~P1(f317(f317(f225(a898),x77803),x77802))+P1(f317(f317(f225(a898),f317(f317(f30(a898),x77801),x77802)),f317(f317(f30(a898),x77801),x77803))) % 199.88/201.00 [7781]~P1(f317(f317(f226(a1),f2(a1)),x77812))+~P1(f317(f317(f225(a1),x77811),x77813))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x77811),x77812)),f317(f317(f30(a1),x77813),x77812))) % 199.88/201.00 [7785]~P1(f317(f317(f226(a898),f2(a898)),x77852))+~P1(f317(f317(f226(a898),x77851),x77853))+P1(f317(f317(f226(a898),f317(f317(f75(a898),x77851),x77852)),f317(f317(f75(a898),x77853),x77852))) % 199.88/201.00 [7786]~P1(f317(f317(f226(a898),f2(a898)),x77861))+~P1(f317(f317(f226(a898),x77862),x77863))+P1(f317(f317(f226(a898),f317(f317(f75(a898),x77861),x77862)),f317(f317(f75(a898),x77861),x77863))) % 199.88/201.00 [7787]~P1(f317(f317(f226(a1),f2(a1)),x77871))+~P1(f317(f317(f226(a1),x77872),x77873))+P1(f317(f317(f226(a1),f317(f317(f75(a1),x77871),x77872)),f317(f317(f75(a1),x77871),x77873))) % 199.88/201.00 [7836]E(x78361,f2(a898))+E(f317(f317(f74(a898),f317(f317(f75(a898),x78361),f863(x78361,x78362,x78363))),f865(x78361,x78362,x78363)),x78362)+P1(f317(x78363,f317(f317(f30(a898),x78362),x78361))) % 199.88/201.00 [7896]E(f317(f317(f74(a898),f317(f317(f75(a898),x78961),f863(x78961,x78962,x78963))),f865(x78961,x78962,x78963)),x78962)+~P1(f317(x78963,f2(a898)))+P1(f317(x78963,f317(f317(f30(a898),x78962),x78961))) % 199.88/201.00 [7914]~P1(f317(f28(x79141),x79143))+P1(f317(f317(f319(x79141),f880(x79142,x79143,x79141)),x79143))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f9(x79141,a898),x79142),x79143))) % 199.88/201.00 [7915]~P1(f317(f28(x79151),x79153))+P1(f317(f317(f319(x79151),f502(x79152,x79153,x79151)),x79153))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f9(x79151,a898),x79152),x79153))) % 199.88/201.00 [8015]E(x80151,f2(a898))+P1(f317(f317(f277(a898),x80152),x80153))+~P1(f317(f317(f277(a898),f317(f317(f75(a898),x80151),x80152)),f317(f317(f75(a898),x80151),x80153))) % 199.88/201.00 [8205]E(x82051,f178(f905(x82052,a894)))+E(x82051,f317(f317(f299(x82052),x82053),f178(f905(x82052,a894))))+~P1(f317(f317(f225(f905(x82052,a894)),x82051),f317(f317(f299(x82052),x82053),f178(f905(x82052,a894))))) % 199.88/201.00 [8241]~P1(f317(f317(f226(a898),f72(a898)),x82413))+P1(f317(f317(f225(a898),x82411),x82412))+~P1(f317(f317(f277(a898),f317(f317(f234(a898),x82413),x82411)),f317(f317(f234(a898),x82413),x82412))) % 199.88/201.00 [8243]~P1(f317(f317(f226(a898),f2(a898)),x82433))+P1(f317(f317(f225(a898),x82431),x82432))+~P1(f317(f317(f225(a898),f317(f317(f75(a898),x82433),x82431)),f317(f317(f75(a898),x82433),x82432))) % 199.88/201.00 [8244]~P1(f317(f317(f226(a898),f2(a898)),x82443))+P1(f317(f317(f225(a898),x82441),x82442))+~P1(f317(f317(f225(a898),f317(f317(f75(a898),x82441),x82443)),f317(f317(f75(a898),x82442),x82443))) % 199.88/201.00 [8246]~P1(f317(f317(f226(a898),f2(a898)),x82463))+P1(f317(f317(f226(a898),x82461),x82462))+~P1(f317(f317(f226(a898),f317(f317(f234(a898),x82463),x82461)),f317(f317(f234(a898),x82463),x82462))) % 199.88/201.00 [8248]~P1(f317(f317(f226(a898),f2(a898)),x82483))+P1(f317(f317(f277(a898),x82481),x82482))+~P1(f317(f317(f277(a898),f317(f317(f75(a898),x82483),x82481)),f317(f317(f75(a898),x82483),x82482))) % 199.88/201.00 [8287]~E(f317(f317(f92(f905(x82871,a894)),f491(x82873,x82872,x82871)),f490(x82873,x82872,x82871)),f178(f905(x82871,a894)))+E(f317(f317(f92(f905(x82871,a894)),x82872),f31(f905(x82871,a894),x82873)),f178(f905(x82871,a894)))+P1(f317(f317(f319(f905(x82871,a894)),x82872),x82873)) % 199.88/201.00 [8301]E(x83011,f103(x83012))+~E(f317(f132(f899(x83012),f899(x83012),f124(x83012),f103(x83012)),x83013),f103(x83012))+~P1(f317(f317(f319(f899(x83012)),x83011),f317(f162(f899(x83012)),x83013))) % 199.88/201.00 [8357]E(x83571,f178(f905(f905(x83572,a894),a894)))+P1(f317(f317(f319(f905(x83572,a894)),f486(x83573,x83571,x83572)),x83571))+P1(f317(f317(f225(f905(x83572,a894)),f32(f905(x83572,a894),x83571)),x83573)) % 199.88/201.00 [8363]~P77(x83631)+~P78(x83631)+E(f317(f317(f9(a1,x83631),f317(f317(f8(a898,x83631,a1),x83632),a95)),f317(f300(a898,a1,f90(a1)),x83633)),f317(f317(f9(a898,x83631),x83632),x83633)) % 199.88/201.00 [8364]~P77(x83641)+~P78(x83641)+E(f317(f317(f6(a1,x83641),f317(f317(f8(a898,x83641,a1),x83642),a95)),f317(f300(a898,a1,f90(a1)),x83643)),f317(f317(f6(a898,x83641),x83642),x83643)) % 199.88/201.00 [8406]~P1(f317(f28(x84061),x84063))+~P1(f317(f317(f226(a898),f2(a898)),f317(x84062,f880(x84062,x84063,x84061))))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f9(x84061,a898),x84062),x84063))) % 199.88/201.00 [8407]~P1(f317(f28(x84071),x84073))+~P1(f317(f317(f226(a898),f2(a898)),f317(x84072,f502(x84072,x84073,x84071))))+P1(f317(f317(f226(a898),f2(a898)),f317(f317(f9(x84071,a898),x84072),x84073))) % 199.88/201.00 [8443]~P62(x84432)+E(x84431,f72(x84432))+E(f317(f317(f281(x84432),f317(f317(f23(x84432),f317(f317(f234(x84432),x84431),x84433)),f72(x84432))),f317(f317(f23(x84432),x84431),f72(x84432))),f317(f317(f6(a898,x84432),f317(f234(x84432),x84431)),f317(f292(a898,f2(a898)),x84433))) % 199.88/201.00 [8501]E(x85011,f2(a898))+~P1(f317(x85013,f317(f317(f30(a898),x85012),x85011)))+P1(f317(f317(f226(a898),x85012),f317(f317(f75(a898),x85011),f317(a102,f862(x85011,x85012,x85013))))) % 199.88/201.00 [8520]P1(f317(x85201,f2(a898)))+~P1(f317(x85201,f317(f317(f30(a898),x85202),x85203)))+P1(f317(f317(f226(a898),x85202),f317(f317(f75(a898),x85203),f317(a102,f862(x85203,x85202,x85201))))) % 199.88/201.00 [8558]E(x85581,f2(a898))+~P1(f317(x85583,f317(f317(f30(a898),x85582),x85581)))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x85581),f862(x85581,x85582,x85583))),x85582)) % 199.88/201.00 [8589]P1(f317(x85891,f2(a898)))+~P1(f317(x85891,f317(f317(f30(a898),x85893),x85892)))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x85892),f862(x85892,x85893,x85891))),x85893)) % 199.88/201.00 [8597]~P108(x85971)+E(f317(f317(f138(x85971,x85971,f5(x85971)),x85972),x85973),f139(x85971,x85971,f5(x85971),x85972,x85973))+P1(f317(f317(f319(x85971),x85972),f317(f162(x85971),x85973))) % 199.88/201.00 [8632]~E(f317(x86323,f551(x86322,x86323,x86321)),f317(x86323,f554(x86322,x86323,x86321)))+~P59(x86321,f317(x86323,f552(x86322,x86323,x86321)))+P59(x86321,f317(f317(f34(x86322,f905(x86321,f905(x86321,a894))),f232(f905(x86322,a894))),x86323)) % 199.88/201.00 [8641]E(x86411,f178(f905(f905(x86412,a894),a894)))+~P1(f317(f317(f225(f905(x86412,a894)),f486(x86413,x86411,x86412)),x86413))+P1(f317(f317(f225(f905(x86412,a894)),f32(f905(x86412,a894),x86411)),x86413)) % 199.88/201.00 [8701]~P64(x87011)+~P1(f317(f317(f226(x87011),x87012),x87013))+P1(f317(f317(f226(x87011),x87012),f317(f317(f281(x87011),f317(f317(f74(x87011),x87012),x87013)),f317(f317(f74(x87011),f72(x87011)),f72(x87011))))) % 199.88/201.00 [8759]~P1(f317(f317(x87591,f887(x87591,x87593,x87592)),f888(x87591,x87593,x87592)))+P1(f317(f317(x87591,x87592),x87593))+~P1(f317(f305(f904(a1,a1),a47),f317(f317(f242(a1,a1),x87592),x87593))) % 199.88/201.00 [8760]~P1(f317(f317(x87601,f889(x87601,x87603,x87602)),f890(x87601,x87603,x87602)))+P1(f317(f317(x87601,x87602),x87603))+~P1(f317(f305(f904(a1,a1),a53),f317(f317(f242(a1,a1),x87602),x87603))) % 199.88/201.00 [8761]~P1(f317(f317(x87611,f891(x87611,x87613,x87612)),f325(x87611,x87613,x87612)))+P1(f317(f317(x87611,x87612),x87613))+~P1(f317(f305(f904(a1,a1),a211),f317(f317(f242(a1,a1),x87612),x87613))) % 199.88/201.00 [8762]~P1(f317(f317(x87621,f326(x87621,x87623,x87622)),f327(x87621,x87623,x87622)))+P1(f317(f317(x87621,x87622),x87623))+~P1(f317(f305(f904(a898,a898),a209),f317(f317(f242(a898,a898),x87622),x87623))) % 199.88/201.00 [8763]~P1(f317(f317(x87631,f653(x87631,x87633,x87632)),f655(x87631,x87633,x87632)))+P1(f317(f317(x87631,x87632),x87633))+~P1(f317(f305(f904(a1,a1),a172),f317(f317(f242(a1,a1),x87632),x87633))) % 199.88/201.00 [8764]~P1(f317(f317(x87641,f750(x87641,x87643,x87642)),f751(x87641,x87643,x87642)))+P1(f317(f317(x87641,x87642),x87643))+~P1(f317(f305(f904(a1,a1),a123),f317(f317(f242(a1,a1),x87642),x87643))) % 199.88/201.00 [9037]P1(f317(f317(x90371,x90372),x90373))+P1(f317(f305(f904(a898,a898),a209),f317(f317(f242(a898,a898),f326(x90371,x90373,x90372)),f327(x90371,x90373,x90372))))+~P1(f317(f305(f904(a898,a898),a209),f317(f317(f242(a898,a898),x90372),x90373))) % 199.88/201.00 [9038]P1(f317(f317(x90381,x90382),x90383))+P1(f317(f305(f904(a1,a1),a47),f317(f317(f242(a1,a1),f887(x90381,x90383,x90382)),f888(x90381,x90383,x90382))))+~P1(f317(f305(f904(a1,a1),a47),f317(f317(f242(a1,a1),x90382),x90383))) % 199.88/201.00 [9039]P1(f317(f317(x90391,x90392),x90393))+P1(f317(f305(f904(a1,a1),a53),f317(f317(f242(a1,a1),f889(x90391,x90393,x90392)),f890(x90391,x90393,x90392))))+~P1(f317(f305(f904(a1,a1),a53),f317(f317(f242(a1,a1),x90392),x90393))) % 199.88/201.00 [9040]P1(f317(f317(x90401,x90402),x90403))+P1(f317(f305(f904(a1,a1),a211),f317(f317(f242(a1,a1),f891(x90401,x90403,x90402)),f325(x90401,x90403,x90402))))+~P1(f317(f305(f904(a1,a1),a211),f317(f317(f242(a1,a1),x90402),x90403))) % 199.88/201.00 [9041]P1(f317(f317(x90411,x90412),x90413))+P1(f317(f305(f904(a1,a1),a172),f317(f317(f242(a1,a1),f653(x90411,x90413,x90412)),f655(x90411,x90413,x90412))))+~P1(f317(f305(f904(a1,a1),a172),f317(f317(f242(a1,a1),x90412),x90413))) % 199.88/201.00 [9042]P1(f317(f317(x90421,x90422),x90423))+P1(f317(f305(f904(a1,a1),a123),f317(f317(f242(a1,a1),f750(x90421,x90423,x90422)),f751(x90421,x90423,x90422))))+~P1(f317(f305(f904(a1,a1),a123),f317(f317(f242(a1,a1),x90422),x90423))) % 199.88/201.00 [9380]~P1(f317(f28(x93801),x93803))+P1(f317(f317(f319(f904(f905(x93801,a894),f905(x93801,a894))),f317(f317(f242(f905(x93801,a894),f905(x93801,a894)),x93802),x93803)),f304(x93801)))+~P1(f317(f317(f226(f905(x93801,a894)),x93802),x93803)) % 199.88/201.00 [9455]~P59(x94551,f317(x94553,f552(x94552,x94553,x94551)))+P59(x94551,f317(f317(f34(x94552,f905(x94551,f905(x94551,a894))),f232(f905(x94552,a894))),x94553))+~E(f317(f317(f92(f905(x94551,a894)),f239(x94551,x94551,f317(x94553,f551(x94552,x94553,x94551)))),f240(x94551,x94551,f317(x94553,f554(x94552,x94553,x94551)))),f178(f905(x94551,a894))) % 199.88/201.00 [9665]P52(x96651,x96652,x96653)+P1(f317(f317(f319(f904(x96651,x96651)),f542(x96653,x96652,x96651)),x96653))+~P1(f317(f317(f319(f904(x96651,x96651)),f317(f317(f242(x96651,x96651),f543(x96653,x96652,x96651)),f543(x96653,x96652,x96651))),x96653)) % 199.88/201.00 [10255]P52(x102551,x102552,x102553)+~P1(f317(f317(f247(x102551,x102551,a894),f317(f317(f7(x102551,f905(x102551,a894),f905(x102551,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x102551,a894),f905(x102551,a894)),x102551),f8(a894,a894,x102551)),f317(f317(f8(a894,f905(a894,a894),x102551),a315),f317(f317(f7(x102551,f905(x102551,a894),a894),f319(x102551)),x102552)))),f317(f317(f7(x102551,f905(x102551,a894),a894),f319(x102551)),x102552))),f542(x102553,x102552,x102551)))+~P1(f317(f317(f319(f904(x102551,x102551)),f317(f317(f242(x102551,x102551),f543(x102553,x102552,x102551)),f543(x102553,x102552,x102551))),x102553)) % 199.88/201.00 [5724]~P3(x57242)+E(x57241,f2(x57242))+E(f317(f317(f30(x57242),f317(f317(f75(x57242),x57243),x57241)),x57241),x57243) % 199.88/201.00 [5725]~P3(x57252)+E(x57251,f2(x57252))+E(f317(f317(f30(x57252),f317(f317(f75(x57252),x57251),x57253)),x57251),x57253) % 199.88/201.00 [6389]~P3(x63891)+E(f317(f317(f75(x63891),f317(f317(f30(x63891),x63892),x63893)),x63893),x63892)+~P1(f317(f317(f277(x63891),x63893),x63892)) % 199.88/201.00 [6553]~P77(x65531)+~E(f317(x65532,f2(a898)),f2(x65531))+E(f317(f317(f6(a898,x65531),x65532),f317(f292(a898,f317(a102,f2(a898))),x65533)),f317(f317(f6(a898,x65531),x65532),f317(f292(a898,f2(a898)),x65533))) % 199.88/201.00 [6691]~P3(x66912)+E(x66911,f2(x66912))+E(f317(f317(f30(x66912),f317(f317(f74(x66912),x66913),x66911)),x66911),f317(f317(f74(x66912),f317(f317(f30(x66912),x66913),x66911)),f72(x66912))) % 199.88/201.00 [6692]~P3(x66922)+E(x66921,f2(x66922))+E(f317(f317(f30(x66922),f317(f317(f74(x66922),x66921),x66923)),x66921),f317(f317(f74(x66922),f317(f317(f30(x66922),x66923),x66921)),f72(x66922))) % 199.88/201.00 [6917]~P1(f317(x69173,f2(a1)))+P1(f317(f317(f225(a898),x69171),x69172))+P1(f317(x69173,f317(f90(a1),f317(f317(f23(a898),x69172),x69171)))) % 199.88/201.00 [7025]P1(f317(f317(f226(a898),x70252),x70251))+P1(f317(f317(f225(a898),x70251),x70252))+P1(f317(x70253,f317(f90(a1),f317(f317(f23(a898),x70252),x70251)))) % 199.88/201.00 [7099]E(f317(f317(f74(a898),f317(f94(a898),x70991)),f317(f317(f74(a898),f317(f94(a898),x70992)),x70993)),f317(f317(f74(a898),f317(f94(a898),x70991)),x70993))+P1(f317(a183,f317(f94(a1),x70991)))+~P1(f317(a183,f317(f94(a1),x70992))) % 199.88/201.00 [7178]~E(x71782,f317(f317(f30(a898),x71783),x71781))+~P1(f317(f317(f226(a898),f2(a898)),x71781))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x71781),x71782)),x71783)) % 199.88/201.00 [7295]~P1(f317(f28(x72951),x72953))+~P1(f317(f28(x72951),x72952))+P1(f317(f28(x72951),f317(f317(f91(f905(x72951,a894)),x72952),x72953))) % 199.88/201.00 [7342]~P37(x73421,x73423)+~P37(x73421,x73422)+P37(x73421,f317(f317(f92(f905(f904(x73421,x73421),a894)),x73422),x73423)) % 199.88/201.00 [7343]~P51(x73431,x73433)+~P51(x73431,x73432)+P51(x73431,f317(f317(f91(f905(f904(x73431,x73431),a894)),x73432),x73433)) % 199.88/201.00 [7344]~P51(x73441,x73443)+~P51(x73441,x73442)+P51(x73441,f317(f317(f92(f905(f904(x73441,x73441),a894)),x73442),x73443)) % 199.88/201.00 [7587]~P108(x75871)+~P1(f317(f28(x75871),x75872))+E(f129(x75871,f317(f317(f23(f905(x75871,a894)),x75872),f317(f317(f299(x75871),x75873),f178(f905(x75871,a894))))),f160(x75871,x75873,f129(x75871,x75872))) % 199.88/201.00 [7652]P1(f317(x76521,f2(a1)))+~P1(f317(f317(f226(a898),x76522),x76523))+~P1(f317(x76521,f317(f90(a1),f317(f317(f23(a898),x76522),x76523)))) % 199.88/201.00 [7670]~P1(f317(f28(x76701),x76702))+E(f317(f29(x76701),f317(f317(f23(f905(x76701,a894)),x76702),f317(f317(f299(x76701),x76703),f178(f905(x76701,a894))))),f317(f29(x76701),x76702))+P1(f317(f317(f319(x76701),x76703),x76702)) % 199.88/201.00 [7803]~P110(x78031)+~P1(f317(f317(f226(x78031),f72(x78031)),x78032))+P1(f317(f317(f226(x78031),f72(x78031)),f317(f317(f75(x78031),x78032),f317(f317(f234(x78031),x78032),x78033)))) % 199.88/201.00 [7846]~P1(f317(f28(x78461),x78463))+E(f317(f317(f23(a898),f317(f29(x78461),x78462)),f317(f29(x78461),x78463)),f317(f29(x78461),f317(f317(f23(f905(x78461,a894)),x78462),x78463)))+~P1(f317(f317(f225(f905(x78461,a894)),x78463),x78462)) % 199.88/201.00 [7904]~P1(f317(f317(f225(a898),x79042),x79043))+~P1(f317(f317(f225(a898),x79041),f317(f317(f23(a898),x79043),x79042)))+P1(f317(f317(f225(a898),f317(f317(f74(a898),x79041),x79042)),x79043)) % 199.88/201.00 [7958]P1(f317(f28(x79581),x79582))+~P1(f317(f28(x79581),x79583))+~P1(f317(f28(x79581),f317(f317(f23(f905(x79581,a894)),x79582),x79583))) % 199.88/201.00 [7964]~P1(f317(f28(x79641),x79642))+E(f317(f29(x79641),f317(f317(f23(f905(x79641,a894)),x79642),f317(f317(f299(x79641),x79643),f178(f905(x79641,a894))))),f317(f317(f23(a898),f317(f29(x79641),x79642)),f72(a898)))+~P1(f317(f317(f319(x79641),x79643),x79642)) % 199.88/201.00 [8040]P59(x80401,x80402)+~P59(x80401,x80403)+~P1(f317(f317(f225(f905(x80401,f905(x80401,a894))),x80402),x80403)) % 199.88/201.00 [8080]~P1(f317(f317(f225(a898),x80803),x80802))+P1(f317(f317(f225(a898),x80801),f317(f317(f23(a898),x80802),x80803)))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),x80801),x80803)),x80802)) % 199.88/201.00 [8098]P36(x80981,x80982)+~P36(x80981,x80983)+~P1(f317(f317(f225(f905(f904(x80981,x80981),a894)),x80982),x80983)) % 199.88/201.00 [8099]P57(x80991,x80992)+~P57(x80991,x80993)+~P1(f317(f317(f225(f905(f904(x80991,x80991),a894)),x80992),x80993)) % 199.88/201.00 [8100]P38(x81001,x81002)+~P38(x81001,x81003)+~P1(f317(f317(f225(f905(f904(x81001,x81001),a894)),x81002),x81003)) % 199.88/201.00 [8334]~P110(x83341)+~P1(f317(f317(f226(x83341),f72(x83341)),x83342))+P1(f317(f317(f226(x83341),f317(f317(f234(x83341),x83342),x83343)),f317(f317(f75(x83341),x83342),f317(f317(f234(x83341),x83342),x83343)))) % 199.88/201.00 [8425]~P1(f317(x84251,f2(a1)))+~P1(f317(x84251,f317(f317(f23(a1),f317(f90(a1),x84252)),f317(f90(a1),x84253))))+P1(f317(x84251,f317(f90(a1),f317(f317(f23(a898),x84252),x84253)))) % 199.88/201.00 [8440]~P1(f317(f317(f225(a898),x84403),x84402))+P1(f317(x84401,f317(f317(f23(a1),f317(f90(a1),x84402)),f317(f90(a1),x84403))))+~P1(f317(x84401,f317(f90(a1),f317(f317(f23(a898),x84402),x84403)))) % 199.88/201.00 [8460]P1(f317(f317(f226(a898),x84601),x84602))+~P1(f317(x84603,f317(f317(f23(a1),f317(f90(a1),x84601)),f317(f90(a1),x84602))))+P1(f317(x84603,f317(f90(a1),f317(f317(f23(a898),x84601),x84602)))) % 199.88/201.00 [8513]~P125(x85132)+E(x85131,f2(x85132))+P1(f317(f317(f226(x85132),f2(x85132)),f317(f317(f74(x85132),f317(f317(f75(x85132),x85133),x85133)),f317(f317(f75(x85132),x85131),x85131)))) % 199.88/201.00 [8514]~P125(x85142)+E(x85141,f2(x85142))+P1(f317(f317(f226(x85142),f2(x85142)),f317(f317(f74(x85142),f317(f317(f75(x85142),x85141),x85141)),f317(f317(f75(x85142),x85143),x85143)))) % 199.88/201.00 [8614]~P1(f317(f317(f226(a898),f2(a898)),x86141))+~P1(f317(f317(f226(a1),x86142),x86143))+P1(f317(f317(f226(a1),f317(f317(f75(a1),f317(f90(a1),x86141)),x86142)),f317(f317(f75(a1),f317(f90(a1),x86141)),x86143))) % 199.88/201.00 [8670]E(f317(f317(f92(f905(x86701,a894)),x86702),f31(f905(x86701,a894),x86703)),f178(f905(x86701,a894)))+P1(f317(f317(f319(f905(x86701,a894)),x86702),x86703))+P1(f317(f317(f319(f905(x86701,a894)),f491(x86703,x86702,x86701)),f317(f317(f299(f905(x86701,a894)),x86702),x86703))) % 199.88/201.00 [8671]E(f317(f317(f92(f905(x86711,a894)),x86712),f31(f905(x86711,a894),x86713)),f178(f905(x86711,a894)))+P1(f317(f317(f319(f905(x86711,a894)),x86712),x86713))+P1(f317(f317(f319(f905(x86711,a894)),f490(x86713,x86712,x86711)),f317(f317(f299(f905(x86711,a894)),x86712),x86713))) % 199.88/201.00 [8700]E(x87001,x87002)+~E(f317(f179(f899(x87003)),x87001),f317(f179(f899(x87003)),x87002))+P1(f317(f317(f319(f904(x87003,x87003)),f640(x87003,x87001,x87002)),f317(f162(f904(x87003,x87003)),f317(f317(f171(x87003,x87003),x87002),x87001)))) % 199.88/201.00 [8950]E(f297(x89501,x89502),f297(x89501,x89503))+~P1(f317(f317(f225(f905(f904(x89501,x89501),a894)),x89503),f297(x89501,x89502)))+~P1(f317(f317(f225(f905(f904(x89501,x89501),a894)),x89502),x89503)) % 199.88/201.00 [9017]~P52(x90171,f232(f905(x90171,a894)),x90173)+P1(f317(f317(f225(f905(f904(f899(x90171),f899(x90171)),a894)),f147(x90171,x90172)),f148(x90171,x90173)))+~P1(f317(f317(f225(f905(f904(x90171,x90171),a894)),x90172),x90173)) % 199.88/201.00 [9214]P36(x92141,x92142)+~P1(f317(f317(f319(x92141),x92143),f601(x92142,x92141)))+P1(f317(f317(f319(f904(x92141,x92141)),f317(f317(f242(x92141,x92141),f614(x92142,x92141,x92143)),x92143)),x92142)) % 199.88/201.00 [9249]~P1(f317(f28(x92491),x92492))+P1(f317(f28(f905(x92491,a894)),f317(f317(f55(x92491),x92492),x92493)))+~P1(f317(f317(f225(f905(f904(x92491,x92491),a894)),x92493),f317(f317(f244(x92491,x92491),x92492),f317(f16(f905(x92491,a894),x92491),x92492)))) % 199.88/201.00 [9285]P52(x92851,x92852,x92853)+P1(f317(f317(f319(x92851),f513(x92853,x92852,x92851)),x92852))+~P1(f317(f317(f225(f905(f904(x92851,x92851),a894)),x92853),f317(f317(f244(x92851,x92851),x92852),f317(f16(f905(x92851,a894),x92851),x92852)))) % 199.88/201.00 [9286]P52(x92861,x92862,x92863)+P1(f317(f317(f319(x92861),f514(x92862,x92863,x92861)),x92862))+~P1(f317(f317(f225(f905(f904(x92861,x92861),a894)),x92863),f317(f317(f244(x92861,x92861),x92862),f317(f16(f905(x92861,a894),x92861),x92862)))) % 199.88/201.00 [9321]~P64(x93211)+~P1(f317(f317(f226(x93211),x93212),x93213))+P1(f317(f317(f226(x93211),f317(f317(f281(x93211),f317(f317(f74(x93211),x93212),x93213)),f317(f317(f74(x93211),f72(x93211)),f72(x93211)))),x93213)) % 199.88/201.00 [9352]~P63(x93521)+P1(f317(f317(f225(x93521),x93522),x93523))+~P1(f317(f317(f225(x93521),f317(f317(f75(x93521),f435(x93523,x93522,x93521)),x93522)),x93523)) % 199.88/201.00 [9490]E(f317(f179(f899(f899(x94901))),f317(f126(f899(x94901),f317(f317(f8(a898,a894,f899(x94901)),f317(f226(a898),x94902)),f179(f899(x94901)))),f169(x94901,x94903))),f317(f179(f899(x94901)),f317(f317(f154(f899(x94901)),x94903),x94902)))+~P13(a898,f317(f158(a898),f317(f317(f144(f899(x94901),a898),f179(f899(x94901))),x94903)))+~P1(f317(f317(f226(a898),x94902),f317(f179(f899(f899(x94901))),x94903))) % 199.88/201.00 [9613]~P36(x96131,x96132)+P26(x96131,f317(f317(f242(f905(f904(x96131,x96131),a894),f905(f904(x96131,x96131),a894)),x96132),x96133))+~P1(f317(f317(f225(f905(f904(x96131,x96131),a894)),f317(f317(f279(x96131,x96131,x96131),x96132),x96133)),x96132)) % 199.88/201.00 [9618]E(f317(f317(f144(f899(x96181),x96181),f317(f317(f7(f899(x96181),a898,x96181),f154(x96181)),x96182)),f317(f126(f899(x96181),f317(f317(f8(a898,a894,f899(x96181)),f317(f226(a898),x96182)),f179(f899(x96181)))),f169(x96181,x96183))),f317(f317(f154(f899(x96181)),x96183),x96182))+~P13(a898,f317(f158(a898),f317(f317(f144(f899(x96181),a898),f179(f899(x96181))),x96183)))+~P1(f317(f317(f226(a898),x96182),f317(f179(f899(f899(x96181))),x96183))) % 199.88/201.00 [9753]P52(x97531,x97532,x97533)+~P1(f317(f317(f319(f904(x97531,x97531)),f317(f317(f242(x97531,x97531),f513(x97533,x97532,x97531)),f513(x97533,x97532,x97531))),x97533))+~P1(f317(f317(f225(f905(f904(x97531,x97531),a894)),x97533),f317(f317(f244(x97531,x97531),x97532),f317(f16(f905(x97531,a894),x97531),x97532)))) % 199.88/201.00 [9754]P52(x97541,x97542,x97543)+~P1(f317(f317(f319(f904(x97541,x97541)),f317(f317(f242(x97541,x97541),f514(x97542,x97543,x97541)),f514(x97542,x97543,x97541))),x97543))+~P1(f317(f317(f225(f905(f904(x97541,x97541),a894)),x97543),f317(f317(f244(x97541,x97541),x97542),f317(f16(f905(x97541,a894),x97541),x97542)))) % 199.88/201.00 [9922]~P128(x99221)+~P124(x99221)+E(f317(f317(f281(x99221),f317(f93(x99221),f317(f317(f67(f904(a1,a1),a1,x99222,f241(a1,a1)),f202(x99222)),x99223))),f317(f93(x99221),f317(f317(f67(f904(a1,a1),a1,x99222,f246(a1,a1)),f202(x99222)),x99223))),f212(x99222,x99221,x99223)) % 199.88/201.00 [10125]~E(x101253,f2(a898))+~E(f317(f179(f899(x101251)),f317(f317(f154(f899(x101251)),x101252),f689(x101253,x101251,x101252))),x101253)+E(f317(f317(f144(a898,f899(x101251)),f317(f317(f7(a898,f899(a898),f899(x101251)),f317(f317(f8(f905(a898,x101251),f905(f899(a898),f899(x101251)),a898),f144(a898,x101251)),f317(f7(a898,a898,x101251),f317(f317(f8(f899(x101251),f905(a898,x101251),a898),f154(x101251)),f317(f154(f899(x101251)),x101252))))),f129(a898,f317(f292(a898,f2(a898)),f317(f179(f899(f899(x101251))),x101252))))),f129(a898,f317(f292(a898,f2(a898)),x101253))),f169(x101251,x101252)) % 199.88/201.00 [10126]E(x101261,f103(f899(x101262)))+~E(f317(f179(f899(x101262)),f317(f317(f154(f899(x101262)),x101261),f689(x101263,x101262,x101261))),x101263)+E(f317(f317(f144(a898,f899(x101262)),f317(f317(f7(a898,f899(a898),f899(x101262)),f317(f317(f8(f905(a898,x101262),f905(f899(a898),f899(x101262)),a898),f144(a898,x101262)),f317(f7(a898,a898,x101262),f317(f317(f8(f899(x101262),f905(a898,x101262),a898),f154(x101262)),f317(f154(f899(x101262)),x101261))))),f129(a898,f317(f292(a898,f2(a898)),f317(f179(f899(f899(x101262))),x101261))))),f129(a898,f317(f292(a898,f2(a898)),x101263))),f169(x101262,x101261)) % 199.88/201.00 [10127]~E(x101273,f2(a898))+E(f317(f317(f144(a898,f899(x101271)),f317(f317(f7(a898,f899(a898),f899(x101271)),f317(f317(f8(f905(a898,x101271),f905(f899(a898),f899(x101271)),a898),f144(a898,x101271)),f317(f7(a898,a898,x101271),f317(f317(f8(f899(x101271),f905(a898,x101271),a898),f154(x101271)),f317(f154(f899(x101271)),x101272))))),f129(a898,f317(f292(a898,f2(a898)),f317(f179(f899(f899(x101271))),x101272))))),f129(a898,f317(f292(a898,f2(a898)),x101273))),f169(x101271,x101272))+P1(f317(f317(f226(a898),f689(x101273,x101271,x101272)),f317(f179(f899(f899(x101271))),x101272))) % 199.88/201.00 [10128]E(x101281,f103(f899(x101282)))+E(f317(f317(f144(a898,f899(x101282)),f317(f317(f7(a898,f899(a898),f899(x101282)),f317(f317(f8(f905(a898,x101282),f905(f899(a898),f899(x101282)),a898),f144(a898,x101282)),f317(f7(a898,a898,x101282),f317(f317(f8(f899(x101282),f905(a898,x101282),a898),f154(x101282)),f317(f154(f899(x101282)),x101281))))),f129(a898,f317(f292(a898,f2(a898)),f317(f179(f899(f899(x101282))),x101281))))),f129(a898,f317(f292(a898,f2(a898)),x101283))),f169(x101282,x101281))+P1(f317(f317(f226(a898),f689(x101283,x101282,x101281)),f317(f179(f899(f899(x101282))),x101281))) % 199.88/201.00 [7843]E(f317(f317(f74(a898),f317(f94(a898),x78431)),f317(f317(f74(a898),f317(f94(a898),x78432)),x78433)),f317(f317(f74(a898),f317(f94(a898),f317(f317(f74(a1),x78431),x78432))),x78433))+P1(f317(a183,f317(f94(a1),x78431)))+P1(f317(a183,f317(f94(a1),x78432))) % 199.88/201.00 [8606]~P1(f317(f28(x86061),x86062))+~P1(f317(f317(f319(x86061),x86063),x86062))+E(f317(a102,f317(f29(x86061),f317(f317(f23(f905(x86061,a894)),x86062),f317(f317(f299(x86061),x86063),f178(f905(x86061,a894)))))),f317(f29(x86061),x86062)) % 199.88/201.00 [8622]~P1(f317(f28(x86221),x86222))+~P1(f317(f317(f319(x86221),x86223),x86222))+E(f317(f317(f74(a898),f72(a898)),f317(f29(x86221),f317(f317(f23(f905(x86221,a894)),x86222),f317(f317(f299(x86221),x86223),f178(f905(x86221,a894)))))),f317(f29(x86221),x86222)) % 199.88/201.00 [8709]~P108(x87091)+~P1(f317(f28(x87091),x87093))+E(f317(f317(f138(x87091,x87091,f5(x87091)),x87092),f129(x87091,f317(f317(f23(f905(x87091,a894)),x87093),f317(f317(f299(x87091),x87092),f178(f905(x87091,a894)))))),f129(x87091,f317(f317(f299(x87091),x87092),x87093))) % 199.88/201.00 [8875]~P1(f317(f28(x88751),x88753))+~P1(f317(f28(x88751),x88752))+E(f317(f317(f74(a898),f317(f29(x88751),f317(f317(f91(f905(x88751,a894)),x88752),x88753))),f317(f29(x88751),f317(f317(f92(f905(x88751,a894)),x88752),x88753))),f317(f317(f74(a898),f317(f29(x88751),x88752)),f317(f29(x88751),x88753))) % 199.88/201.00 [10074]~P24(x100741,f905(f905(x100741,a894),a894),f317(f317(f7(x100741,f905(f904(x100741,x100741),a894),f905(f905(x100741,a894),a894)),f317(f317(f8(f905(x100741,a894),f905(f905(f904(x100741,x100741),a894),f905(f905(x100741,a894),a894)),x100741),f55(x100741)),f317(f317(f7(x100741,f905(x100741,a894),f905(x100741,a894)),f299(x100741)),f178(f905(x100741,a894))))),x100743),x100742)+~P1(f317(f28(x100741),x100742))+E(f317(f29(f905(x100741,a894)),f317(f317(f55(x100741),x100742),x100743)),f317(f29(x100741),x100742)) % 199.88/201.00 [8112]~P93(x81121)+P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x81123)))+E(f317(f317(f234(x81121),x81122),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),x81123),x81123)),a87))),f72(x81121)) % 199.88/201.00 [9595]~P93(x95951)+~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),x95953)))+E(f317(f317(f234(x95951),x95952),f317(f94(a898),f317(f317(f23(a1),f317(f317(f74(a1),x95953),x95953)),a87))),f317(f317(f80(x95951,x95951),f317(f317(f234(x95951),x95952),f317(f94(a898),x95953))),f317(f317(f18(x95951,x95951,x95951),f317(f317(f8(x95951,f905(x95951,x95951),x95951),f75(x95951)),f317(f75(x95951),x95952))),f5(x95951)))) % 199.88/201.00 [9984]~P1(f317(f127(x99841),x99843))+~P1(f317(f317(f319(x99841),x99842),f317(f162(x99841),x99843)))+E(f317(f317(f128(x99841),f317(f179(f899(x99841)),f167(x99841,f317(f317(f8(a894,a894,x99841),a312),f317(f317(f7(x99841,x99841,a894),a314),x99842)),f317(f158(x99841),x99843)))),f317(f158(x99841),x99843)),f317(f317(f141(x99841),x99842),f317(f158(x99841),f167(x99841,f317(f317(f8(a894,a894,x99841),a312),f317(f317(f7(x99841,x99841,a894),a314),x99842)),x99843)))) % 199.88/201.00 [10044]P1(f317(f317(f225(f905(f904(x100441,x100441),a894)),f297(x100441,x100442)),x100443))+~P1(f317(f317(f225(f905(f904(x100441,x100441),a894)),f297(x100441,f178(f905(f904(x100441,x100441),a894)))),x100443))+~P1(f317(f317(f225(f905(f904(x100441,x100441),a894)),f317(f317(f279(x100441,x100441,x100441),f317(f317(f92(f905(f904(x100441,x100441),a894)),f297(x100441,x100442)),x100443)),x100442)),x100443)) % 199.88/201.00 [9902]~P1(f317(f28(x99021),f317(f252(x99021),x99023)))+~P1(f317(f28(x99021),f317(f252(x99021),x99022)))+P1(f317(f28(x99021),f317(f252(x99021),f317(f317(f18(x99021,a894,a894),f317(f317(f8(a894,f905(a894,a894),x99021),a316),x99022)),x99023)))) % 199.88/201.00 [10190]P1(f317(f317(f225(f905(f904(x101901,x101901),a894)),f317(f317(f279(x101901,x101901,x101901),x101902),f297(x101901,x101902))),x101903))+~P1(f317(f317(f225(f905(f904(x101901,x101901),a894)),x101902),x101903))+~P1(f317(f317(f225(f905(f904(x101901,x101901),a894)),f317(f317(f279(x101901,x101901,x101901),f317(f317(f92(f905(f904(x101901,x101901),a894)),f317(f317(f279(x101901,x101901,x101901),x101902),f297(x101901,x101902))),x101903)),x101902)),x101903)) % 199.88/201.00 [10141]~P111(x101412)+E(x101411,f2(x101412))+~E(f317(f317(f74(x101412),f317(f317(f234(x101412),x101413),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101412),x101411),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101412)) % 199.88/201.00 [10142]~P111(x101422)+E(x101421,f2(x101422))+~E(f317(f317(f74(x101422),f317(f317(f234(x101422),x101421),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x101422),x101423),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x101422)) % 199.88/201.00 [10147]~P1(f317(f127(x101471),x101473))+~P1(f317(f317(f319(x101471),x101472),f317(f162(x101471),x101473)))+E(f317(f158(x101471),f317(f161(x101471),f317(f317(f128(x101471),f317(f179(f899(x101471)),f167(x101471,f317(f317(f8(a894,a894,x101471),a312),f317(f317(f7(x101471,x101471,a894),a314),x101472)),x101473))),x101473))),f167(x101471,f317(f317(f8(a894,a894,x101471),a312),f317(f317(f7(x101471,x101471,a894),a314),x101472)),f317(f158(x101471),x101473))) % 199.88/201.00 [10235]~P111(x102352)+E(x102351,f2(x102352))+P1(f317(f317(f226(x102352),f2(x102352)),f317(f317(f74(x102352),f317(f317(f234(x102352),x102353),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102352),x102351),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))) % 199.88/201.00 [10236]~P111(x102362)+E(x102361,f2(x102362))+P1(f317(f317(f226(x102362),f2(x102362)),f317(f317(f74(x102362),f317(f317(f234(x102362),x102361),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102362),x102363),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))) % 199.88/201.00 [10297]~P111(x102971)+P1(f317(f317(f225(x102971),f2(x102971)),x102972))+~P1(f317(f317(f225(x102971),f2(x102971)),f317(f317(f234(x102971),x102972),f317(a102,f317(f317(f75(a898),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),x102973))))) % 199.88/201.00 [5023]~E(x50232,f84(x50233,x50231))+P1(f317(x50231,x50232))+~P1(f317(x50231,x50234)) % 199.88/201.00 [5269]E(f62(x52693,x52692,x52694),x52692)+E(x52691,f716(x52692,x52693,x52694))+~P1(f317(x52694,x52691)) % 199.88/201.00 [6613]E(f62(x66131,x66132,x66133),f79(x66131,x66133))+~E(f753(x66132,x66131,x66133,x66134),x66134)+~P1(f317(x66133,x66134)) % 199.88/201.00 [6827]~P36(x68272,x68274)+~P36(x68271,x68273)+P36(f904(x68271,x68272),f309(x68271,x68272,x68273,x68274)) % 199.88/201.00 [6828]~P37(x68282,x68284)+~P37(x68281,x68283)+P37(f904(x68281,x68282),f309(x68281,x68282,x68283,x68284)) % 199.88/201.00 [5209]~P7(x52094,x52091)+~E(f317(x52091,x52092),f317(x52091,x52093))+P1(f317(f317(x52091,x52092),x52093)) % 199.88/201.00 [5368]~P7(x53684,x53681)+E(f317(x53681,x53682),f317(x53681,x53683))+~P1(f317(f317(x53681,x53682),x53683)) % 199.88/201.00 [5369]~P15(x53694,x53691)+E(f317(x53691,x53692),f317(x53691,x53693))+~P1(f317(f317(x53691,x53692),x53693)) % 199.88/201.00 [5463]~P18(x54633,x54634,x54631)+E(f317(x54631,x54632),f317(f57(x54633,x54634),x54632))+~P1(f317(f28(x54633),x54632)) % 199.88/201.00 [5464]~P9(x54643,x54644,x54641)+E(f317(x54641,x54642),f317(f57(x54643,x54644),x54642))+~P1(f317(f28(x54643),x54642)) % 199.88/201.00 [5591]~P7(x55914,x55911)+~P1(f317(f317(x55911,x55913),x55912))+P1(f317(f317(x55911,x55912),x55913)) % 199.88/201.00 [5592]~P50(x55924,x55921)+~P1(f317(f317(x55921,x55923),x55922))+P1(f317(f317(x55921,x55922),x55923)) % 199.88/201.00 [5593]~P15(x55934,x55931)+~P1(f317(f317(x55931,x55933),x55932))+P1(f317(f317(x55931,x55932),x55933)) % 199.88/201.00 [5594]~P15(x55943,x55941)+P1(f317(f317(x55941,x55942),x55942))+~P1(f317(f317(x55941,x55944),x55942)) % 199.88/201.00 [5595]~P15(x55953,x55951)+P1(f317(f317(x55951,x55952),x55952))+~P1(f317(f317(x55951,x55952),x55954)) % 199.88/201.00 [5665]E(x56651,x56652)+~E(f317(f241(x56653,x56654),x56651),f317(f241(x56653,x56654),x56652))+~E(f317(f246(x56653,x56654),x56651),f317(f246(x56653,x56654),x56652)) % 199.88/201.00 [5693]E(x56931,x56932)+~P1(f317(f43(x56933,x56934),x56932))+~P1(f317(f43(x56933,x56934),x56931)) % 199.88/201.00 [5893]~P77(x58932)+E(f221(x58931,x58932,x58933,x58934),f2(x58932))+P1(f317(f28(x58931),x58934)) % 199.88/201.00 [5941]~P7(x59413,x59412)+~P1(f317(x59411,x59414))+P1(f317(x59411,f798(x59411,x59412,x59413))) % 199.88/201.00 [6039]~P1(f317(f305(x60391,x60392),x60394))+P1(f317(f305(x60391,x60392),x60393))+~P1(f317(f317(x60392,x60393),x60394)) % 199.88/201.00 [6864]~P28(x68641,x68643,x68644)+P1(f317(x68641,x68642))+~P1(f317(f317(f319(a1),x68642),f293(a1,x68643,x68644))) % 199.88/201.00 [7061]~P7(x70611,x70613)+~P1(f317(x70612,x70614))+P1(f317(f317(f319(x70611),f798(x70612,x70613,x70611)),f260(x70611,x70613))) % 199.88/201.00 [7953]E(x79531,f2(a898))+~P1(f317(x79532,x79533))+P1(f317(x79532,f747(x79532,x79533,x79531,x79534))) % 199.88/201.00 [8035]~P108(x80352)+~P1(f317(f127(x80351),x80354))+P1(f317(f127(x80351),f140(x80351,x80352,x80353,x80354))) % 199.88/201.00 [8079]E(f62(x80791,x80792,x80793),f79(x80791,x80793))+~P1(f317(x80793,x80794))+P1(f317(x80793,f753(x80792,x80791,x80793,x80794))) % 199.88/201.00 [8261]~P1(f317(f28(x82612),x82614))+~P1(f317(f28(x82611),x82613))+P1(f317(f28(f903(x82611,x82612)),f303(x82611,x82612,x82613,x82614))) % 199.88/201.00 [8262]~P1(f317(f127(x82622),x82624))+~P1(f317(f127(x82621),x82623))+P1(f317(f127(f904(x82621,x82622)),f54(x82621,x82622,x82623,x82624))) % 199.88/201.00 [8265]P1(f317(f317(f319(f899(x82651)),f317(f317(f124(x82651),x82652),x82653)),f151(x82651,x82654)))+~P1(f317(f317(f319(f899(x82651)),x82653),f151(x82651,x82654)))+~P1(f317(f317(f319(f899(x82651)),x82652),f151(x82651,x82654))) % 199.88/201.00 [8544]E(x85441,f2(a898))+P1(f317(x85442,x85443))+~P1(f317(x85442,f749(x85442,x85443,x85441,x85444))) % 199.88/201.00 [8581]~P108(x85813)+~P1(f317(f127(x85811),f140(x85811,x85813,x85814,x85812)))+P1(f317(f127(x85811),x85812)) % 199.88/201.00 [8864]~P1(f317(f317(f319(f904(x88641,x88641)),f317(f317(f242(x88641,x88641),x88642),x88644)),f297(x88641,x88643)))+P1(f317(f317(f319(x88641),x88642),f306(x88641,x88643)))+~P1(f317(f317(f319(x88641),x88644),f306(x88641,x88643))) % 199.88/201.00 [5193]~P78(x51932)+E(f317(f317(f9(x51931,x51932),x51933),x51934),f72(x51932))+P1(f317(f28(x51931),x51934)) % 199.88/201.00 [5196]~P77(x51962)+E(f317(f317(f6(x51961,x51962),x51963),x51964),f2(x51962))+P1(f317(f28(x51961),x51964)) % 199.88/201.00 [5331]~P72(x53313)+E(x53311,x53312)+~E(f317(f317(f74(x53313),x53314),x53311),f317(f317(f74(x53313),x53314),x53312)) % 199.88/201.00 [5332]~P73(x53323)+E(x53321,x53322)+~E(f317(f317(f74(x53323),x53324),x53321),f317(f317(f74(x53323),x53324),x53322)) % 199.88/201.00 [5334]~P72(x53343)+E(x53341,x53342)+~E(f317(f317(f74(x53343),x53341),x53344),f317(f317(f74(x53343),x53342),x53344)) % 199.88/201.00 [5430]~P121(x54301)+~E(x54303,f317(f317(f75(x54301),x54302),x54304))+P1(f317(f317(f277(x54301),x54302),x54303)) % 199.88/201.00 [5458]~P5(x54583)+E(x54581,f178(f905(x54582,a894)))+E(f317(f317(f34(x54582,x54583),x54581),f317(f16(x54583,x54582),x54584)),x54584) % 199.88/201.00 [5459]~P5(x54593)+E(x54591,f178(f905(x54592,a894)))+E(f317(f317(f35(x54592,x54593),x54591),f317(f16(x54593,x54592),x54594)),x54594) % 199.88/201.00 [5679]~P109(x56793)+E(x56791,x56792)+~E(f293(x56793,x56794,x56791),f317(f317(f299(x56793),x56792),f178(f905(x56793,a894)))) % 199.88/201.00 [5680]~P109(x56803)+E(x56801,x56802)+~E(f293(x56803,x56801,x56802),f317(f317(f299(x56803),x56804),f178(f905(x56803,a894)))) % 199.88/201.00 [5740]~P34(x57403,x57401,x57404)+P34(x57403,x57401,f317(f317(f141(x57403),x57402),x57404))+P1(f317(x57401,x57402)) % 199.88/201.00 [5842]~P30(x58421,x58422,x58424)+~P1(f317(x58422,x58423))+P30(x58421,x58422,f317(f317(f141(x58421),x58423),x58424)) % 199.88/201.00 [5994]P1(f317(x59941,x59942))+~P1(f317(f238(x59943,x59941),x59944))+~P1(f317(f317(f319(x59943),x59942),x59944)) % 199.88/201.00 [6003]~P30(x60031,x60032,x60034)+~P30(x60031,x60032,x60033)+P30(x60031,x60032,f317(f317(f124(x60031),x60033),x60034)) % 199.88/201.00 [6018]P32(x60181,x60182,x60183)+~P32(x60181,x60182,f317(f317(f141(x60181),x60184),x60183))+P1(f317(x60182,x60184)) % 199.88/201.00 [6019]P34(x60191,x60192,x60193)+~P34(x60191,x60192,f317(f317(f141(x60191),x60194),x60193))+P1(f317(x60192,x60194)) % 199.88/201.00 [6094]P32(x60941,x60942,x60943)+P32(x60941,x60942,x60944)+~P32(x60941,x60942,f317(f317(f124(x60941),x60944),x60943)) % 199.88/201.00 [6115]~P77(x61151)+E(f317(f317(f6(a898,x61151),x61152),f317(f292(a898,x61153),f317(a102,x61154))),f2(x61151))+~P1(f317(f317(f226(a898),x61154),x61153)) % 199.88/201.00 [6120]~P4(x61201)+~E(f40(x61201,x61202,x61203),f40(x61201,x61204,x61203))+E(f40(x61201,f317(f73(x61201),x61202),x61203),f40(x61201,f317(f73(x61201),x61204),x61203)) % 199.88/201.00 [6188]P1(f317(x61881,x61882))+~E(f317(f126(x61883,x61881),x61884),x61884)+~P1(f317(f317(f319(x61883),x61882),f317(f162(x61883),x61884))) % 199.88/201.00 [6208]~E(f317(f317(f74(a898),x62083),x62082),f317(f317(f74(a898),x62081),x62084))+~P1(f317(f317(f226(a898),x62083),x62084))+P1(f317(f317(f226(a898),x62081),x62082)) % 199.88/201.00 [6214]P32(x62141,x62142,x62143)+~P1(f317(x62142,x62144))+~P1(f317(f317(f319(x62141),x62144),f317(f162(x62141),x62143))) % 199.88/201.00 [6217]~P3(x62171)+E(f40(x62171,f40(x62171,x62172,x62173),x62174),f40(x62171,x62172,x62174))+~P1(f317(f317(f277(x62171),x62174),x62173)) % 199.88/201.00 [6257]~P30(x62573,x62571,x62574)+P1(f317(x62571,x62572))+~P1(f317(f317(f319(x62573),x62572),f317(f162(x62573),x62574))) % 199.88/201.00 [6259]~E(f317(f126(x62591,x62592),x62593),f103(x62591))+~P1(f317(x62592,x62594))+~P1(f317(f317(f319(x62591),x62594),f317(f162(x62591),x62593))) % 199.88/201.00 [6260]~E(f167(x62603,x62601,x62604),x62604)+P1(f317(x62601,x62602))+~P1(f317(f317(f319(x62603),x62602),f317(f162(x62603),x62604))) % 199.88/201.00 [6288]~E(x62884,f178(f905(x62882,a894)))+~E(x62883,f178(f905(x62881,a894)))+E(f303(x62881,x62882,x62883,x62884),f178(f905(f903(x62881,x62882),a894))) % 199.88/201.00 [6440]P1(f317(x64401,x64402))+~P1(f317(f150(x64403,x64401),x64404))+~P1(f317(f317(f319(x64403),x64402),f317(f162(x64403),x64404))) % 199.88/201.00 [6582]~P29(x65821,x65823,x65824)+P1(f317(x65821,x65822))+~P1(f317(f317(f319(a898),x65822),f317(f292(a898,x65823),x65824))) % 199.88/201.00 [6721]~P77(x67211)+E(f317(f317(f6(a898,x67211),x67212),f293(a898,x67213,f317(a102,x67214))),f2(x67211))+~P1(f317(f317(f226(a898),f317(a102,x67214)),x67213)) % 199.88/201.00 [6867]~P108(x68671)+E(f317(f317(f23(f905(x68671,a894)),f317(f292(x68671,x68672),x68673)),f317(f292(x68671,x68672),x68674)),f317(f292(x68671,x68674),x68673))+~P1(f317(f317(f225(x68671),x68672),x68674)) % 199.88/201.00 [6938]~E(x69383,x69384)+E(x69381,f2(a898))+P1(f317(f317(f319(x69382),x69383),f317(f162(x69382),f159(x69382,x69381,x69384)))) % 199.88/201.00 [7224]~P1(f317(f317(f319(f899(x72241)),x72244),f151(x72241,x72243)))+P1(f317(f317(f319(x72241),x72242),x72243))+~P1(f317(f317(f319(x72241),x72242),f317(f162(x72241),x72244))) % 199.88/201.00 [7231]~P36(x72311,x72312)+P1(f317(f317(f319(x72311),f603(x72312,x72311,x72313)),x72313))+~P1(f317(f317(f319(x72311),x72314),x72313)) % 199.88/201.00 [7288]~P78(x72881)+E(f317(f317(f317(f59(x72881,x72882,f75(x72881)),x72883),f72(x72881)),x72884),f317(f317(f9(x72882,x72881),x72883),x72884))+~P1(f317(f28(x72882),x72884)) % 199.88/201.00 [7290]~P77(x72901)+E(f317(f317(f317(f59(x72901,x72902,f74(x72901)),x72903),f2(x72901)),x72904),f317(f317(f6(x72902,x72901),x72903),x72904))+~P1(f317(f28(x72902),x72904)) % 199.88/201.00 [7317]P24(x73171,x73172,x73173,x73174)+~E(f317(f29(x73172),f317(f300(x73171,x73172,x73173),x73174)),f317(f29(x73171),x73174))+~P1(f317(f28(x73171),x73174)) % 199.88/201.00 [7511]~P77(x75111)+E(f317(f317(f74(x75111),f317(x75112,x75113)),f317(f317(f6(a898,x75111),x75112),f295(a898,x75113,x75114))),f317(f317(f6(a898,x75111),x75112),f293(a898,x75113,x75114)))+~P1(f317(f317(f225(a898),x75113),x75114)) % 199.88/201.00 [7520]~P78(x75201)+~P24(x75202,x75201,x75203,x75204)+E(f317(f317(f9(x75201,x75201),f25(x75201)),f317(f300(x75202,x75201,x75203),x75204)),f317(f317(f9(x75202,x75201),x75203),x75204)) % 199.88/201.00 [7521]~P77(x75211)+~P24(x75212,x75211,x75213,x75214)+E(f317(f317(f6(x75211,x75211),f25(x75211)),f317(f300(x75212,x75211,x75213),x75214)),f317(f317(f6(x75212,x75211),x75213),x75214)) % 199.88/201.00 [7569]E(f317(f29(f903(x75691,x75692)),f303(x75691,x75692,x75693,x75694)),f317(f317(f74(a898),f317(f29(x75691),x75693)),f317(f29(x75692),x75694)))+~P1(f317(f28(x75692),x75694))+~P1(f317(f28(x75691),x75693)) % 199.88/201.00 [7653]E(x76531,x76532)+P1(f317(f317(f319(x76533),x76531),f317(f162(x76533),f160(x76533,x76532,x76534))))+~P1(f317(f317(f319(x76533),x76531),f317(f162(x76533),x76534))) % 199.88/201.00 [7883]~P77(x78831)+E(f317(f317(f74(x78831),f317(f317(f6(a898,x78831),x78832),f317(f292(a898,x78833),x78834))),f317(x78832,x78834)),f317(f317(f6(a898,x78831),x78832),f317(f292(a898,x78833),f317(a102,x78834))))+P1(f317(f317(f226(a898),x78834),x78833)) % 199.88/201.00 [7933]~P24(x79331,x79332,x79333,f232(f905(x79331,a894)))+~P1(f317(f28(x79332),x79334))+P1(f317(f28(x79331),f317(f301(x79331,x79332,x79333),x79334))) % 199.88/201.00 [8050]P1(f317(f317(f319(f899(x80501)),f317(f317(f141(x80501),x80502),x80503)),f151(x80501,x80504)))+~P1(f317(f317(f319(f899(x80501)),x80503),f151(x80501,x80504)))+~P1(f317(f317(f319(x80501),x80502),x80504)) % 199.88/201.00 [8136]~E(f317(f300(x81363,x81361,x81364),f232(f905(x81363,a894))),f232(f905(x81361,a894)))+P1(f317(f28(x81361),x81362))+~P1(f317(f28(x81363),f317(f301(x81363,x81361,x81364),x81362))) % 199.88/201.00 [8231]~P24(x82311,x82313,x82314,x82312)+P1(f317(f28(x82311),x82312))+~P1(f317(f28(x82313),f317(f300(x82311,x82313,x82314),x82312))) % 199.88/201.00 [8255]~E(x82552,x82553)+P1(f317(f317(f319(f904(x82551,x82551)),f317(f317(f242(x82551,x82551),x82552),x82553)),f253(x82551,x82554)))+~P1(f317(f317(f319(x82551),x82552),x82554)) % 199.88/201.00 [8288]~P77(x82881)+E(f317(f317(f74(x82881),f317(f317(f6(a898,x82881),x82882),f293(a898,x82883,x82884))),f317(x82882,f317(a102,x82884))),f317(f317(f6(a898,x82881),x82882),f293(a898,x82883,f317(a102,x82884))))+P1(f317(f317(f226(a898),f317(a102,x82884)),x82883)) % 199.88/201.00 [8348]P1(f317(x83481,x83482))+~P1(f317(x83481,f317(f317(f154(x83483),x83484),f639(x83481,x83484,x83483))))+~P1(f317(f317(f319(x83483),x83482),f317(f162(x83483),x83484))) % 199.88/201.00 [8489]~P1(f317(f317(f319(x84891),x84892),f306(x84891,x84894)))+P1(f317(f317(f319(f899(x84891)),f317(f317(f141(x84891),x84892),x84893)),f306(f899(x84891),f147(x84891,x84894))))+~P1(f317(f317(f319(f899(x84891)),x84893),f306(f899(x84891),f147(x84891,x84894)))) % 199.88/201.00 [8504]~P24(x85042,x85043,x85044,f487(x85044,x85043,x85042,x85041))+P24(x85042,x85043,x85044,f32(f905(x85042,a894),x85041))+E(x85041,f178(f905(f905(x85042,a894),a894))) % 199.88/201.00 [8773]E(x87731,x87732)+~P1(f317(f317(f319(f904(x87733,x87733)),f317(f317(f242(x87733,x87733),x87731),x87732)),f297(x87733,x87734)))+P1(f317(f317(f319(x87733),x87731),f317(f254(x87733,x87733),x87734))) % 199.88/201.00 [9051]E(x90511,f2(a898))+P1(f317(x90512,x90513))+P1(f317(f317(f319(x90514),f749(x90512,x90513,x90511,x90514)),f317(f162(x90514),f159(x90514,x90511,x90513)))) % 199.88/201.00 [9063]E(x90631,f2(a898))+~P1(f317(x90633,x90634))+P1(f317(f317(f319(x90632),f747(x90633,x90634,x90631,x90632)),f317(f162(x90632),f159(x90632,x90631,x90634)))) % 199.88/201.00 [9065]~P25(x90651,x90652,x90653,f232(f905(x90651,a894)),f232(f905(x90652,a894)))+~P1(f317(f28(x90652),x90654))+P1(f317(f28(x90651),f317(f301(x90651,x90652,x90653),x90654))) % 199.88/201.00 [9068]P24(x90682,x90683,x90684,f32(f905(x90682,a894),x90681))+E(x90681,f178(f905(f905(x90682,a894),a894)))+P1(f317(f317(f319(f905(x90682,a894)),f487(x90684,x90683,x90682,x90681)),x90681)) % 199.88/201.00 [9185]~P25(x91853,x91851,x91854,f232(f905(x91853,a894)),f232(f905(x91851,a894)))+P1(f317(f28(x91851),x91852))+~P1(f317(f28(x91853),f317(f301(x91853,x91851,x91854),x91852))) % 199.88/201.00 [9202]P1(f317(f28(x92021),x92022))+~P1(f317(f28(x92024),f317(f300(x92021,x92024,x92023),x92022)))+P1(f317(f317(f319(x92021),f532(x92023,x92024,x92022,x92021)),x92022)) % 199.88/201.00 [9297]~P5(x92972)+E(f317(f317(f58(x92971,x92972,f317(f317(f8(x92972,f905(x92972,x92972),x92971),f91(x92972)),x92973)),f178(x92972)),x92974),f317(f317(f34(x92971,x92972),x92974),x92973))+~P1(f317(f28(x92971),x92974)) % 199.88/201.00 [9298]~P5(x92982)+E(f317(f317(f58(x92981,x92982,f317(f317(f8(x92982,f905(x92982,x92982),x92981),f92(x92982)),x92983)),f232(x92982)),x92984),f317(f317(f35(x92981,x92982),x92984),x92983))+~P1(f317(f28(x92981),x92984)) % 199.88/201.00 [9328]~P1(f317(f317(f277(a898),x93283),x93284))+P1(f317(f317(f277(a898),x93281),x93282))+P1(f317(f317(f226(f905(a898,a894)),f280(a898,f277(a898),x93281,x93282)),f280(a898,f277(a898),x93283,x93284))) % 199.88/201.00 [9341]~P1(f317(f317(f277(a898),x93412),x93414))+~P1(f317(f317(f277(a898),x93413),x93411))+P1(f317(f317(f225(f905(a898,a894)),f280(a898,f277(a898),x93411,x93412)),f280(a898,f277(a898),x93413,x93414))) % 199.88/201.00 [9385]P1(f317(x93851,x93852))+~P1(f317(x93851,f317(f317(f154(x93853),x93854),f676(x93852,x93851,x93854,x93853))))+~P1(f317(f317(f319(x93853),x93852),f317(f162(x93853),x93854))) % 199.88/201.00 [9406]E(x94061,x94062)+~P1(f317(f317(f319(f904(x94063,x94063)),f317(f317(f242(x94063,x94063),x94061),x94062)),f297(x94063,x94064)))+P1(f317(f317(f319(f904(x94063,x94063)),f317(f317(f242(x94063,x94063),x94061),x94062)),f317(f317(f279(x94063,x94063,x94063),x94064),f297(x94063,x94064)))) % 199.88/201.00 [9456]~E(f317(f179(f899(x94561)),x94562),f317(f179(f899(x94561)),x94563))+~P1(f317(f317(f319(f904(f899(x94561),f899(x94561))),f317(f317(f242(f899(x94561),f899(x94561)),x94562),x94563)),f137(x94561,x94564)))+P1(f317(f317(f319(f904(f899(x94561),f899(x94561))),f317(f317(f242(f899(x94561),f899(x94561)),x94562),x94563)),f135(x94561,x94564))) % 199.88/201.00 [9579]P1(f317(f317(f277(a898),x95791),x95792))+~P1(f317(f317(f277(a898),x95793),x95791))+~P1(f317(f317(f225(f905(a898,a894)),f280(a898,f277(a898),x95793,x95791)),f280(a898,f277(a898),x95794,x95792))) % 199.88/201.00 [9580]P1(f317(f317(f277(a898),x95801),x95802))+~P1(f317(f317(f277(a898),x95803),x95801))+~P1(f317(f317(f226(f905(a898,a894)),f280(a898,f277(a898),x95803,x95801)),f280(a898,f277(a898),x95804,x95802))) % 199.88/201.00 [9581]P1(f317(f317(f277(a898),x95811),x95812))+~P1(f317(f317(f277(a898),x95812),x95813))+~P1(f317(f317(f225(f905(a898,a894)),f280(a898,f277(a898),x95812,x95813)),f280(a898,f277(a898),x95811,x95814))) % 199.88/201.00 [9582]P1(f317(f317(f277(a898),x95821),x95822))+~P1(f317(f317(f277(a898),x95822),x95823))+~P1(f317(f317(f226(f905(a898,a894)),f280(a898,f277(a898),x95822,x95823)),f280(a898,f277(a898),x95821,x95824))) % 199.88/201.00 [9701]P30(x97011,f317(f317(f18(x97011,a894,a894),f317(f317(f8(a894,f905(a894,a894),x97011),a316),f317(f317(f8(a894,a894,x97011),a312),x97012))),f317(a314,x97013)),x97014)+~P1(f317(x97012,x97013))+~P34(x97011,x97012,f317(f317(f141(x97011),x97013),x97014)) % 199.88/201.00 [9866]~P30(x98661,f317(f317(f18(x98661,a894,a894),f317(f317(f8(a894,f905(a894,a894),x98661),a316),f317(f317(f8(a894,a894,x98661),a312),x98662))),f317(a314,x98663)),x98664)+~P1(f317(x98662,x98663))+P34(x98661,x98662,f317(f317(f141(x98661),x98663),x98664)) % 199.88/201.00 [9870]~P34(x98701,x98702,x98704)+~P30(x98701,f317(f317(f18(x98701,a894,a894),f317(f317(f8(a894,f905(a894,a894),x98701),a316),f317(f317(f8(a894,a894,x98701),a312),x98702))),f317(a314,x98703)),x98704)+P34(x98701,x98702,f317(f317(f141(x98701),x98703),x98704)) % 199.88/201.00 [9903]~P68(x99031)+E(f317(f317(f6(a898,x99031),f317(f317(f18(a898,x99031,x99031),f317(f317(f8(x99031,f905(x99031,x99031),a898),f23(x99031)),x99032)),f317(f317(f8(a898,x99031,a898),x99032),f317(f317(f7(a898,a898,a898),f74(a898)),f72(a898))))),f293(a898,x99033,x99034)),f2(x99031))+P1(f317(f317(f225(a898),x99033),x99034)) % 199.88/201.00 [10140]~P36(x101402,x101404)+~P24(x101402,x101401,x101403,f232(f905(x101402,a894)))+P36(x101401,f317(f300(f904(x101402,x101402),f904(x101401,x101401),f248(x101402,x101401,x101402,x101401,x101403,x101403)),x101404)) % 199.88/201.00 [10332]~E(f317(f179(f899(x103321)),x103323),f317(f179(f899(x103321)),x103322))+P1(f317(f317(f319(f904(f899(x103321),f899(x103321))),f317(f317(f242(f899(x103321),f899(x103321)),x103322),x103323)),f148(x103321,x103324)))+~P1(f317(f317(f247(x103321,x103321,a894),f317(f317(f7(x103321,f905(f904(x103321,x103321),a894),f905(x103321,a894)),f317(f317(f8(f905(x103321,f905(f905(f904(x103321,x103321),a894),a894)),f905(f905(f904(x103321,x103321),a894),f905(x103321,a894)),x103321),f7(x103321,f905(f904(x103321,x103321),a894),a894)),f317(f317(f8(f905(x103321,f904(x103321,x103321)),f905(x103321,f905(f905(f904(x103321,x103321),a894),a894)),x103321),f317(f8(f904(x103321,x103321),f905(f905(f904(x103321,x103321),a894),a894),x103321),f319(f904(x103321,x103321)))),f242(x103321,x103321)))),x103324)),f641(x103324,x103323,x103322,x103321))) % 199.88/201.00 [6169]~P3(x61691)+~E(x61692,f2(x61691))+E(f317(f317(f30(x61691),f317(f317(f75(x61691),x61692),x61693)),f317(f317(f75(x61691),x61692),x61694)),f2(x61691)) % 199.88/201.00 [6211]E(x62111,f103(x62112))+E(x62113,f317(f317(f23(a898),f317(f179(f899(x62112)),x62111)),f72(a898)))+E(f134(x62112,f317(f317(f149(x62112,x62111),x62113),x62114)),f134(x62112,x62111)) % 199.88/201.00 [6248]E(x62481,x62482)+P1(f317(x62483,x62482))+~P1(f317(f317(f317(f299(x62484),x62481),x62483),x62482)) % 199.88/201.00 [6264]~P77(x62641)+~P1(f317(f127(x62642),x62644))+E(f317(f155(x62641),f317(f317(f144(x62642,x62641),x62643),x62644)),f317(f317(f6(x62642,x62641),x62643),f317(f162(x62642),x62644))) % 199.88/201.00 [6281]~P78(x62812)+~P1(f317(f28(x62811),x62814))+E(f317(f317(f9(x62811,x62812),f317(f16(x62812,x62811),x62813)),x62814),f317(f317(f234(x62812),x62813),f317(f29(x62811),x62814))) % 199.88/201.00 [6336]~P3(x63362)+E(x63361,f2(x63362))+E(f317(f317(f30(x63362),f317(f317(f75(x63362),x63363),x63361)),f317(f317(f75(x63362),x63364),x63361)),f317(f317(f30(x63362),x63363),x63364)) % 199.88/201.00 [6338]~P61(x63382)+E(x63381,f2(x63382))+E(f317(f317(f281(x63382),f317(f317(f75(x63382),x63383),x63381)),f317(f317(f75(x63382),x63384),x63381)),f317(f317(f281(x63382),x63383),x63384)) % 199.88/201.00 [6339]~P61(x63392)+E(x63391,f2(x63392))+E(f317(f317(f281(x63392),f317(f317(f75(x63392),x63391),x63393)),f317(f317(f75(x63392),x63391),x63394)),f317(f317(f281(x63392),x63393),x63394)) % 199.88/201.00 [6340]~P3(x63402)+E(x63401,f2(x63402))+E(f317(f317(f30(x63402),f317(f317(f75(x63402),x63401),x63403)),f317(f317(f75(x63402),x63401),x63404)),f317(f317(f30(x63402),x63403),x63404)) % 199.88/201.00 [6409]P1(f317(x64091,x64092))+~E(x64093,f317(f317(f74(a898),x64094),x64092))+~P1(f317(x64091,f317(f317(f23(a898),x64093),x64094))) % 199.88/201.00 [6495]~P1(f317(x64952,x64953))+~P1(f317(f150(x64951,x64952),x64954))+P1(f317(f150(x64951,x64952),f317(f317(f141(x64951),x64953),x64954))) % 199.88/201.00 [6536]E(x65361,f103(x65362))+~E(x65363,f317(f317(f23(a898),f317(f179(f899(x65362)),x65361)),f72(a898)))+E(f134(x65362,f317(f317(f149(x65362,x65361),x65363),x65364)),x65364) % 199.88/201.00 [6560]~P108(x65601)+~P1(f317(f317(f225(x65601),x65602),x65604))+P1(f317(f317(f225(x65601),x65602),f317(f317(f224(x65601),x65603),x65604))) % 199.88/201.00 [6562]~P108(x65621)+~P1(f317(f317(f225(x65621),x65622),x65623))+P1(f317(f317(f225(x65621),x65622),f317(f317(f224(x65621),x65623),x65624))) % 199.88/201.00 [6563]~P103(x65631)+~P1(f317(f317(f225(x65631),x65632),x65634))+P1(f317(f317(f225(x65631),x65632),f317(f317(f91(x65631),x65633),x65634))) % 199.88/201.00 [6564]~P103(x65641)+~P1(f317(f317(f225(x65641),x65642),x65643))+P1(f317(f317(f225(x65641),x65642),f317(f317(f91(x65641),x65643),x65644))) % 199.88/201.00 [6566]~P108(x65661)+~P1(f317(f317(f226(x65661),x65662),x65664))+P1(f317(f317(f226(x65661),x65662),f317(f317(f224(x65661),x65663),x65664))) % 199.88/201.00 [6568]~P108(x65681)+~P1(f317(f317(f226(x65681),x65682),x65683))+P1(f317(f317(f226(x65681),x65682),f317(f317(f224(x65681),x65683),x65684))) % 199.88/201.00 [6569]~P103(x65691)+~P1(f317(f317(f226(x65691),x65692),x65694))+P1(f317(f317(f226(x65691),x65692),f317(f317(f91(x65691),x65693),x65694))) % 199.88/201.00 [6570]~P103(x65701)+~P1(f317(f317(f226(x65701),x65702),x65703))+P1(f317(f317(f226(x65701),x65702),f317(f317(f91(x65701),x65703),x65704))) % 199.88/201.00 [6571]~P112(x65711)+~P1(f317(f317(f277(x65711),x65712),x65714))+P1(f317(f317(f277(x65711),x65712),f317(f317(f75(x65711),x65713),x65714))) % 199.88/201.00 [6572]~P112(x65721)+~P1(f317(f317(f277(x65721),x65722),x65723))+P1(f317(f317(f277(x65721),x65722),f317(f317(f75(x65721),x65723),x65724))) % 199.88/201.00 [6665]~E(f317(f317(f154(x66651),x66652),x66653),x66654)+E(f317(f317(f149(x66651,x66652),x66653),x66654),x66652)+~P1(f317(f317(f226(a898),x66653),f317(f179(f899(x66651)),x66652))) % 199.88/201.00 [6705]P1(f317(x67051,x67052))+~P1(f317(x67053,x67052))+~P1(f317(f317(f225(f905(x67054,a894)),x67053),x67051)) % 199.88/201.00 [6740]~E(f317(f317(f149(x67401,x67402),x67403),x67404),x67402)+E(f317(f317(f154(x67401),x67402),x67403),x67404)+~P1(f317(f317(f226(a898),x67403),f317(f179(f899(x67401)),x67402))) % 199.88/201.00 [6754]~P1(f317(f150(x67541,x67542),x67544))+~P1(f317(f150(x67541,x67542),x67543))+P1(f317(f150(x67541,x67542),f317(f317(f124(x67541),x67543),x67544))) % 199.88/201.00 [6863]E(x68631,f178(f905(x68632,a894)))+E(x68633,f178(f905(x68634,a894)))+~E(f317(f317(f244(x68634,x68632),x68633),f317(f16(f905(x68632,a894),x68634),x68631)),f178(f905(f904(x68634,x68632),a894))) % 199.88/201.00 [6883]E(x68831,x68832)+P1(f317(f317(f319(x68833),x68831),x68834))+~P1(f317(f317(f319(x68833),x68831),f317(f317(f299(x68833),x68832),x68834))) % 199.88/201.00 [6900]~P108(x69001)+P1(f317(f317(f225(x69001),x69002),x69003))+~P1(f317(f317(f225(x69001),x69002),f317(f317(f229(x69001),x69004),x69003))) % 199.88/201.00 [6902]~P108(x69021)+P1(f317(f317(f225(x69021),x69022),x69023))+~P1(f317(f317(f225(x69021),x69022),f317(f317(f229(x69021),x69023),x69024))) % 199.88/201.00 [6904]~P104(x69041)+P1(f317(f317(f225(x69041),x69042),x69043))+~P1(f317(f317(f225(x69041),x69042),f317(f317(f92(x69041),x69044),x69043))) % 199.88/201.00 [6906]~P104(x69061)+P1(f317(f317(f225(x69061),x69062),x69063))+~P1(f317(f317(f225(x69061),x69062),f317(f317(f92(x69061),x69063),x69064))) % 199.88/201.00 [6907]~P108(x69071)+P1(f317(f317(f226(x69071),x69072),x69073))+~P1(f317(f317(f226(x69071),x69072),f317(f317(f229(x69071),x69074),x69073))) % 199.88/201.00 [6908]~P108(x69081)+P1(f317(f317(f226(x69081),x69082),x69083))+~P1(f317(f317(f226(x69081),x69082),f317(f317(f229(x69081),x69083),x69084))) % 199.88/201.00 [6929]~E(f317(f317(f154(x69291),x69293),x69294),x69292)+P1(f317(f317(f319(x69291),x69292),f317(f162(x69291),x69293)))+~P1(f317(f317(f226(a898),x69294),f317(f179(f899(x69291)),x69293))) % 199.88/201.00 [6939]~P108(x69391)+~P13(x69391,f317(f317(f141(x69391),x69392),f317(f317(f141(x69391),x69393),x69394)))+P1(f317(f317(f225(x69391),x69392),x69393)) % 199.88/201.00 [7089]~P30(x70892,x70891,x70893)+P1(f317(x70891,f317(f317(f154(x70892),x70893),x70894)))+~P1(f317(f317(f226(a898),x70894),f317(f179(f899(x70892)),x70893))) % 199.88/201.00 [7107]E(x71071,f2(a1))+E(f317(f317(f30(a1),x71072),x71071),x71073)+~P1(f317(f44(x71072,x71071),f317(f317(f242(a1,a1),x71073),x71074))) % 199.88/201.00 [7129]E(f40(a1,x71292,x71291),x71293)+E(x71291,f2(a1))+~P1(f317(f44(x71292,x71291),f317(f317(f242(a1,a1),x71294),x71293))) % 199.88/201.00 [7248]P1(f317(f317(f319(x72481),x72482),x72483))+~P1(f317(f317(f319(x72481),x72482),x72484))+~P1(f317(f317(f226(f905(x72481,a894)),x72484),x72483)) % 199.88/201.00 [7249]P1(f317(f317(f319(x72491),x72492),x72493))+~P1(f317(f317(f319(x72491),x72492),x72494))+~P1(f317(f317(f225(f905(x72491,a894)),x72494),x72493)) % 199.88/201.00 [7260]~P120(x72601)+~E(x72603,f2(x72601))+P1(f317(f317(f277(x72601),f317(f317(f75(x72601),x72602),x72603)),f317(f317(f75(x72601),x72604),x72603))) % 199.88/201.00 [7261]~P120(x72611)+~E(x72612,f2(x72611))+P1(f317(f317(f277(x72611),f317(f317(f75(x72611),x72612),x72613)),f317(f317(f75(x72611),x72612),x72614))) % 199.88/201.00 [7361]P32(x73611,x73612,x73613)+~P1(f317(x73612,f317(f317(f154(x73611),x73613),x73614)))+~P1(f317(f317(f226(a898),x73614),f317(f179(f899(x73611)),x73613))) % 199.88/201.00 [7476]~P107(x74762)+~P1(f317(f317(f226(f905(x74761,x74762)),x74763),x74764))+P1(f317(f317(f225(f905(x74761,x74762)),x74763),x74764)) % 199.88/201.00 [7600]~P1(f317(f317(f319(x76001),x76002),x76004))+P1(f317(f317(f319(x76001),x76002),f31(f905(x76001,a894),x76003)))+~P1(f317(f317(f319(f905(x76001,a894)),x76004),x76003)) % 199.88/201.00 [7602]~P112(x76021)+~P1(f317(f317(f225(a898),x76023),x76024))+P1(f317(f317(f277(x76021),f317(f317(f234(x76021),x76022),x76023)),f317(f317(f234(x76021),x76022),x76024))) % 199.88/201.00 [7630]~P83(x76301)+~P1(f317(f317(f225(x76301),x76303),x76304))+P1(f317(f317(f225(x76301),f317(f317(f74(x76301),x76302),x76303)),f317(f317(f74(x76301),x76302),x76304))) % 199.88/201.00 [7631]~P84(x76311)+~P1(f317(f317(f225(x76311),x76313),x76314))+P1(f317(f317(f225(x76311),f317(f317(f74(x76311),x76312),x76313)),f317(f317(f74(x76311),x76312),x76314))) % 199.88/201.00 [7632]~P83(x76321)+~P1(f317(f317(f225(x76321),x76322),x76324))+P1(f317(f317(f225(x76321),f317(f317(f74(x76321),x76322),x76323)),f317(f317(f74(x76321),x76324),x76323))) % 199.88/201.00 [7633]~P84(x76331)+~P1(f317(f317(f225(x76331),x76332),x76334))+P1(f317(f317(f225(x76331),f317(f317(f74(x76331),x76332),x76333)),f317(f317(f74(x76331),x76334),x76333))) % 199.88/201.00 [7634]~P83(x76341)+~P1(f317(f317(f226(x76341),x76343),x76344))+P1(f317(f317(f226(x76341),f317(f317(f74(x76341),x76342),x76343)),f317(f317(f74(x76341),x76342),x76344))) % 199.88/201.00 [7635]~P86(x76351)+~P1(f317(f317(f226(x76351),x76353),x76354))+P1(f317(f317(f226(x76351),f317(f317(f74(x76351),x76352),x76353)),f317(f317(f74(x76351),x76352),x76354))) % 199.88/201.00 [7636]~P83(x76361)+~P1(f317(f317(f226(x76361),x76362),x76364))+P1(f317(f317(f226(x76361),f317(f317(f74(x76361),x76362),x76363)),f317(f317(f74(x76361),x76364),x76363))) % 199.88/201.00 [7637]~P86(x76371)+~P1(f317(f317(f226(x76371),x76372),x76374))+P1(f317(f317(f226(x76371),f317(f317(f74(x76371),x76372),x76373)),f317(f317(f74(x76371),x76374),x76373))) % 199.88/201.00 [7638]~P120(x76381)+~P1(f317(f317(f277(x76381),x76383),x76384))+P1(f317(f317(f277(x76381),f317(f317(f75(x76381),x76382),x76383)),f317(f317(f75(x76381),x76382),x76384))) % 199.88/201.00 [7639]~P120(x76391)+~P1(f317(f317(f277(x76391),x76392),x76394))+P1(f317(f317(f277(x76391),f317(f317(f75(x76391),x76392),x76393)),f317(f317(f75(x76391),x76394),x76393))) % 199.88/201.00 [7640]~P112(x76401)+~P1(f317(f317(f277(x76401),x76402),x76404))+P1(f317(f317(f277(x76401),f317(f317(f234(x76401),x76402),x76403)),f317(f317(f234(x76401),x76404),x76403))) % 199.88/201.00 [7647]~P140(x76471)+~P94(x76471)+E(f317(f317(f23(x76471),f317(f317(f75(x76471),x76472),f317(f94(x76471),x76473))),f317(f317(f75(x76471),x76474),f317(f94(x76471),x76473))),f317(f317(f75(x76471),f317(f317(f23(x76471),x76472),x76474)),f317(f94(x76471),x76473))) % 199.88/201.00 [7648]~P143(x76481)+~P94(x76481)+E(f317(f317(f74(x76481),f317(f317(f75(x76481),x76482),f317(f94(x76481),x76483))),f317(f317(f75(x76481),x76484),f317(f94(x76481),x76483))),f317(f317(f75(x76481),f317(f317(f74(x76481),x76482),x76484)),f317(f94(x76481),x76483))) % 199.88/201.00 [7684]~P77(x76841)+E(f317(f317(f74(x76841),f317(x76842,x76843)),f317(f317(f6(a898,x76841),x76842),f293(a898,f317(a102,x76843),x76844))),f317(f317(f6(a898,x76841),x76842),f293(a898,x76843,x76844)))+~P1(f317(f317(f225(a898),x76843),x76844)) % 199.88/201.00 [7696]~P24(x76962,x76961,x76963,f317(f162(x76962),x76964))+~P1(f317(f127(x76962),x76964))+P1(f317(f127(x76961),f317(f317(f144(x76962,x76961),x76963),x76964))) % 199.88/201.00 [7745]~P1(f317(f317(f225(a898),x77452),x77454))+~P1(f317(f317(f225(a898),x77451),x77453))+P1(f317(f317(f225(a898),f317(f317(f74(a898),x77451),x77452)),f317(f317(f74(a898),x77453),x77454))) % 199.88/201.00 [7746]~P1(f317(f317(f225(a898),x77462),x77464))+~P1(f317(f317(f225(a898),x77461),x77463))+P1(f317(f317(f225(a898),f317(f317(f75(a898),x77461),x77462)),f317(f317(f75(a898),x77463),x77464))) % 199.88/201.00 [7749]~P1(f317(f317(f226(a898),x77492),x77494))+~P1(f317(f317(f226(a898),x77491),x77493))+P1(f317(f317(f226(a898),f317(f317(f74(a898),x77491),x77492)),f317(f317(f74(a898),x77493),x77494))) % 199.88/201.00 [7750]~P1(f317(f317(f225(a1),x77502),x77504))+~P1(f317(f317(f226(a1),x77501),x77503))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x77501),x77502)),f317(f317(f74(a1),x77503),x77504))) % 199.88/201.00 [7798]P1(f317(f317(f319(x77981),x77982),x77983))+~P1(f317(f317(f319(x77981),x77982),f32(f905(x77981,a894),x77984)))+~P1(f317(f317(f319(f905(x77981,a894)),x77983),x77984)) % 199.88/201.00 [7815]~P1(f317(x78151,f637(x78151,x78153,x78152)))+P1(f317(x78151,f317(f317(f154(x78152),x78153),x78154)))+~P1(f317(f317(f226(a898),x78154),f317(f179(f899(x78152)),x78153))) % 199.88/201.00 [7820]P1(f317(x78201,x78202))+~P1(f317(f317(f319(x78204),x78202),f317(f162(x78204),x78203)))+P1(f317(f317(f226(a898),f639(x78201,x78203,x78204)),f317(f179(f899(x78204)),x78203))) % 199.88/201.00 [7867]~P107(x78671)+~P1(f317(f317(f226(f905(x78672,x78671)),x78674),x78673))+~P1(f317(f317(f225(f905(x78672,x78671)),x78673),x78674)) % 199.88/201.00 [7912]~P1(f317(x79124,x79122))+~P1(f317(f317(f319(x79121),x79122),x79123))+P1(f317(f317(f319(x79121),x79122),f317(f317(f92(f905(x79121,a894)),x79123),f317(f252(x79121),x79124)))) % 199.88/201.00 [8057]~P1(f317(f317(f319(x80571),x80573),x80574))+~P1(f317(f317(f226(f905(x80571,a894)),x80572),x80574))+P1(f317(f317(f226(f905(x80571,a894)),x80572),f317(f317(f299(x80571),x80573),x80574))) % 199.88/201.00 [8059]E(f317(f317(f92(f905(x80591,a894)),x80592),x80593),f178(f905(x80591,a894)))+~E(f317(f317(f92(f905(x80591,a894)),f31(f905(x80591,a894),x80594)),x80593),f178(f905(x80591,a894)))+~P1(f317(f317(f319(f905(x80591,a894)),x80592),x80594)) % 199.88/201.00 [8132]P1(f317(f317(f319(x81321),x81322),x81323))+~P1(f317(f317(f225(f905(x81321,a894)),x81323),f317(f317(f299(x81321),x81322),x81324)))+P1(f317(f317(f225(f905(x81321,a894)),x81323),x81324)) % 199.88/201.00 [8149]P1(f317(f317(f319(x81492),f637(x81491,x81493,x81492)),f317(f162(x81492),x81493)))+P1(f317(x81491,f317(f317(f154(x81492),x81493),x81494)))+~P1(f317(f317(f226(a898),x81494),f317(f179(f899(x81492)),x81493))) % 199.88/201.00 [8157]~P1(f317(f317(f225(f905(x81571,a894)),x81572),x81574))+P1(f317(f317(f225(f905(x81571,a894)),x81572),x81573))+~P1(f317(f317(f225(f905(x81571,a894)),x81574),x81573)) % 199.88/201.00 [8158]~P1(f317(f317(f226(f905(x81581,a894)),x81582),x81584))+~P1(f317(f317(f225(f905(x81581,a894)),x81584),x81583))+P1(f317(f317(f226(f905(x81581,a894)),x81582),x81583)) % 199.88/201.00 [8159]~P1(f317(f317(f225(f905(x81591,a894)),x81592),x81594))+~P1(f317(f317(f226(f905(x81591,a894)),x81594),x81593))+P1(f317(f317(f226(f905(x81591,a894)),x81592),x81593)) % 199.88/201.00 [8160]~P1(f317(f317(f226(f905(x81601,a894)),x81602),x81604))+P1(f317(f317(f226(f905(x81601,a894)),x81602),x81603))+~P1(f317(f317(f226(f905(x81601,a894)),x81604),x81603)) % 199.88/201.00 [8204]~P1(f317(f317(f319(x82041),x82044),x82043))+~P1(f317(f317(f226(f905(x82041,a894)),x82042),f317(f317(f299(x82041),x82044),x82043)))+P1(f317(f317(f226(f905(x82041,a894)),x82042),x82043)) % 199.88/201.00 [8215]~P83(x82151)+P1(f317(f317(f225(x82151),x82152),x82153))+~P1(f317(f317(f225(x82151),f317(f317(f74(x82151),x82154),x82152)),f317(f317(f74(x82151),x82154),x82153))) % 199.88/201.00 [8217]~P83(x82171)+P1(f317(f317(f225(x82171),x82172),x82173))+~P1(f317(f317(f225(x82171),f317(f317(f74(x82171),x82172),x82174)),f317(f317(f74(x82171),x82173),x82174))) % 199.88/201.00 [8219]~P83(x82191)+P1(f317(f317(f226(x82191),x82192),x82193))+~P1(f317(f317(f226(x82191),f317(f317(f74(x82191),x82194),x82192)),f317(f317(f74(x82191),x82194),x82193))) % 199.88/201.00 [8221]~P83(x82211)+P1(f317(f317(f226(x82211),x82212),x82213))+~P1(f317(f317(f226(x82211),f317(f317(f74(x82211),x82212),x82214)),f317(f317(f74(x82211),x82213),x82214))) % 199.88/201.00 [8272]P1(f317(x82721,x82722))+~E(f317(f317(f128(x82723),f317(f179(f899(x82723)),f167(x82723,x82721,x82724))),x82724),f103(x82723))+~P1(f317(f317(f319(x82723),x82722),f317(f162(x82723),x82724))) % 199.88/201.00 [8391]P1(f317(x83911,x83912))+~P1(f317(f317(f319(x83913),x83912),f317(f162(x83913),x83914)))+P1(f317(f317(f226(a898),f317(f179(f899(x83913)),f317(f126(x83913,x83911),x83914))),f317(f179(f899(x83913)),x83914))) % 199.88/201.00 [8880]~P1(f317(x88801,f730(x88801,x88803,x88802,x88804)))+P1(f317(x88801,f317(f317(f154(x88802),x88803),x88804)))+~P1(f317(f317(f226(a898),x88804),f317(f179(f899(x88802)),x88803))) % 199.88/201.00 [8904]~P24(x89044,x89043,x89041,f232(f905(x89044,a894)))+E(f317(x89041,f460(x89042,x89041,x89043,x89044)),x89042)+~P1(f317(f317(f319(x89043),x89042),f317(f300(x89044,x89043,x89041),f232(f905(x89044,a894))))) % 199.88/201.00 [8972]E(f167(x89721,x89722,x89723),f317(f317(f165(x89721),x89724),x89723))+P1(f317(f317(f226(a898),f701(x89722,x89723,x89721,x89724)),x89724))+P1(f317(f317(f226(a898),x89724),f317(f179(f899(x89721)),x89723))) % 199.88/201.00 [8975]E(f167(x89751,x89752,x89753),f317(f317(f165(x89751),x89754),x89753))+P1(f317(f317(f226(a898),f701(x89752,x89753,x89751,x89754)),x89754))+P1(f317(x89752,f317(f317(f154(x89751),x89753),x89754))) % 199.88/201.00 [9010]P1(f317(x90101,x90102))+~P1(f317(f317(f319(x90104),x90102),f317(f162(x90104),x90103)))+P1(f317(f317(f226(a898),f676(x90102,x90101,x90103,x90104)),f317(f179(f899(x90104)),x90103))) % 199.88/201.00 [9012]E(f167(x90121,x90122,x90123),f317(f317(f165(x90121),x90124),x90123))+P1(f317(f317(f226(a898),x90124),f317(f179(f899(x90121)),x90123)))+P1(f317(f317(f226(a898),f701(x90122,x90123,x90121,x90124)),f317(f179(f899(x90121)),x90123))) % 199.88/201.00 [9019]E(f167(x90191,x90192,x90193),f317(f317(f165(x90191),x90194),x90193))+P1(f317(x90192,f317(f317(f154(x90191),x90193),x90194)))+P1(f317(f317(f226(a898),f701(x90192,x90193,x90191,x90194)),f317(f179(f899(x90191)),x90193))) % 199.88/201.00 [9044]~P110(x90444)+P1(f317(f317(f319(x90441),f623(x90442,x90443,x90441,x90444)),x90443))+P1(f317(f317(f226(x90444),f2(x90444)),f317(f317(f9(x90441,x90444),x90442),x90443))) % 199.88/201.00 [9045]~P110(x90454)+P1(f317(f317(f319(x90451),f624(x90452,x90453,x90451,x90454)),x90453))+P1(f317(f317(f225(x90454),f2(x90454)),f317(f317(f9(x90451,x90454),x90452),x90453))) % 199.88/201.00 [9070]~P1(f317(f28(x90701),x90704))+P1(f317(f317(f319(x90701),f504(x90702,x90703,x90704,x90701)),x90704))+P1(f317(f28(f904(x90701,x90703)),f317(f317(f244(x90701,x90703),x90704),x90702))) % 199.88/201.00 [9102]P1(f317(f317(f319(x91022),f730(x91021,x91023,x91022,x91024)),f317(f162(x91022),x91023)))+P1(f317(x91021,f317(f317(f154(x91022),x91023),x91024)))+~P1(f317(f317(f226(a898),x91024),f317(f179(f899(x91022)),x91023))) % 199.88/201.00 [9233]P1(f317(f317(f225(a898),x92334),f317(f179(f899(x92332)),f167(x92332,x92333,x92331))))+P1(f317(f317(f226(a898),f702(x92331,x92332,x92333,x92334)),x92334))+~P1(f317(f317(f225(a898),x92334),f317(f179(f899(x92332)),x92331))) % 199.88/201.00 [9389]E(f167(x93891,x93892,x93893),f317(f317(f165(x93891),x93894),x93893))+~P1(f317(x93892,f317(f317(f154(x93891),x93893),f701(x93892,x93893,x93891,x93894))))+P1(f317(f317(f226(a898),x93894),f317(f179(f899(x93891)),x93893))) % 199.88/201.00 [9396]E(f167(x93961,x93962,x93963),f317(f317(f165(x93961),x93964),x93963))+~P1(f317(x93962,f317(f317(f154(x93961),x93963),f701(x93962,x93963,x93961,x93964))))+P1(f317(x93962,f317(f317(f154(x93961),x93963),x93964))) % 199.88/201.00 [9400]~P1(f317(f28(x94001),x94003))+~P1(f317(f28(x94002),f317(x94004,f504(x94004,x94002,x94003,x94001))))+P1(f317(f28(f904(x94001,x94002)),f317(f317(f244(x94001,x94002),x94003),x94004))) % 199.88/201.00 [9408]~P110(x94081)+~P1(f317(f317(f225(x94081),f2(x94081)),f317(x94083,f624(x94083,x94084,x94082,x94081))))+P1(f317(f317(f225(x94081),f2(x94081)),f317(f317(f9(x94082,x94081),x94083),x94084))) % 199.88/201.00 [9409]~P110(x94091)+~P1(f317(f317(f226(x94091),f2(x94091)),f317(x94093,f623(x94093,x94094,x94092,x94091))))+P1(f317(f317(f226(x94091),f2(x94091)),f317(f317(f9(x94092,x94091),x94093),x94094))) % 199.88/201.00 [9417]~E(f317(f179(f899(x94174)),x94172),f317(f179(f899(x94174)),x94173))+P1(f317(f317(f319(f904(f899(x94174),f899(x94174))),f317(f317(f242(f899(x94174),f899(x94174)),x94173),x94172)),f148(x94174,x94171)))+P1(f317(f317(f226(a898),f625(x94171,x94172,x94173,x94174)),f317(f179(f899(x94174)),x94173))) % 199.88/201.00 [9469]~P1(f317(x94693,f317(f317(f154(x94692),x94694),f702(x94694,x94692,x94693,x94691))))+P1(f317(f317(f225(a898),x94691),f317(f179(f899(x94692)),f167(x94692,x94693,x94694))))+~P1(f317(f317(f225(a898),x94691),f317(f179(f899(x94692)),x94694))) % 199.88/201.00 [9550]E(f317(f317(f165(x95501),f638(x95502,x95503,x95504,x95501)),x95503),f317(f317(f165(x95501),f638(x95502,x95503,x95504,x95501)),x95504))+~P1(f317(f317(f319(f904(f899(x95501),f899(x95501))),f317(f317(f242(f899(x95501),f899(x95501)),x95504),x95503)),f137(x95501,x95502)))+P1(f317(f317(f226(a898),f317(f179(f899(x95501)),x95504)),f317(f179(f899(x95501)),x95503))) % 199.88/201.00 [9615]~P1(f317(f317(f226(a898),f2(a898)),x96153))+~P1(f317(f317(f226(a898),x96154),x96151))+P1(f317(f317(f226(a898),f317(f317(f74(a898),f317(f317(f75(a898),x96151),f40(a898,x96152,x96153))),x96154)),f317(f317(f75(a898),x96151),x96153))) % 199.88/201.00 [9806]~P107(x98062)+~P1(f317(f317(f225(x98062),f317(x98063,f769(x98064,x98063,x98061,x98062))),f317(x98064,f769(x98064,x98063,x98061,x98062))))+P1(f317(f317(f225(f905(x98061,x98062)),x98063),x98064)) % 199.88/201.00 [9908]~P68(x99081)+E(f317(f317(f6(a898,x99081),f317(f317(f18(a898,x99081,x99081),f317(f317(f8(x99081,f905(x99081,x99081),a898),f23(x99081)),x99082)),f317(f317(f8(a898,x99081,a898),x99082),f317(f317(f7(a898,a898,a898),f74(a898)),f72(a898))))),f293(a898,x99083,x99084)),f317(f317(f23(x99081),f317(x99082,x99083)),f317(x99082,f317(f317(f74(a898),x99084),f72(a898)))))+~P1(f317(f317(f225(a898),x99083),x99084)) % 199.88/201.00 [9983]~P36(x99833,f317(f317(f279(x99833,x99833,x99833),x99832),f297(x99833,x99832)))+~P1(f317(f317(f319(f904(x99833,x99833)),f317(f317(f242(x99833,x99833),f317(x99831,f317(a102,f812(x99832,x99831,x99833)))),f317(x99831,f812(x99832,x99831,x99833)))),f297(x99833,x99832)))+E(f317(x99831,f317(f317(f74(a898),f811(x99832,x99831,x99833)),x99834)),f317(x99831,f811(x99832,x99831,x99833))) % 199.88/201.00 [6846]~P3(x68461)+E(f317(f317(f30(x68461),f317(f317(f75(x68461),x68462),x68463)),x68464),f317(f317(f75(x68461),x68462),f317(f317(f30(x68461),x68463),x68464)))+~P1(f317(f317(f277(x68461),x68464),x68463)) % 199.88/201.00 [6933]E(f317(f317(f124(x69331),x69332),x69333),x69334)+~E(x69333,f317(f317(f128(x69331),f317(f179(f899(x69331)),x69332)),x69334))+~E(f317(f317(f165(x69331),f317(f179(f899(x69331)),x69332)),x69334),x69332) % 199.88/201.00 [6989]~P62(x69892)+E(x69891,f2(x69892))+E(f317(f317(f281(x69892),f317(f317(f234(x69892),x69893),x69894)),f317(f317(f234(x69892),x69891),x69894)),f317(f317(f234(x69892),f317(f317(f281(x69892),x69893),x69891)),x69894)) % 199.88/201.00 [7137]~P3(x71371)+E(f317(f317(f30(x71371),f317(f317(f75(x71371),x71372),x71373)),x71374),f317(f317(f75(x71371),f317(f317(f30(x71371),x71372),x71374)),x71373))+~P1(f317(f317(f277(x71371),x71374),x71372)) % 199.88/201.00 [7146]~P108(x71461)+~P1(f317(f317(f225(x71461),x71463),x71464))+P1(f317(f317(f225(x71461),f317(f317(f229(x71461),x71462),x71463)),x71464)) % 199.88/201.00 [7148]~P108(x71481)+~P1(f317(f317(f225(x71481),x71482),x71484))+P1(f317(f317(f225(x71481),f317(f317(f229(x71481),x71482),x71483)),x71484)) % 199.88/201.00 [7149]~P104(x71491)+~P1(f317(f317(f225(x71491),x71493),x71494))+P1(f317(f317(f225(x71491),f317(f317(f92(x71491),x71492),x71493)),x71494)) % 199.88/201.00 [7150]~P104(x71501)+~P1(f317(f317(f225(x71501),x71502),x71504))+P1(f317(f317(f225(x71501),f317(f317(f92(x71501),x71502),x71503)),x71504)) % 199.88/201.00 [7152]~P108(x71521)+~P1(f317(f317(f226(x71521),x71523),x71524))+P1(f317(f317(f226(x71521),f317(f317(f229(x71521),x71522),x71523)),x71524)) % 199.88/201.00 [7154]~P108(x71541)+~P1(f317(f317(f226(x71541),x71542),x71544))+P1(f317(f317(f226(x71541),f317(f317(f229(x71541),x71542),x71543)),x71544)) % 199.88/201.00 [7155]~P104(x71551)+~P1(f317(f317(f226(x71551),x71553),x71554))+P1(f317(f317(f226(x71551),f317(f317(f92(x71551),x71552),x71553)),x71554)) % 199.88/201.00 [7156]~P104(x71561)+~P1(f317(f317(f226(x71561),x71562),x71564))+P1(f317(f317(f226(x71561),f317(f317(f92(x71561),x71562),x71563)),x71564)) % 199.88/201.00 [7179]~P1(f317(x71793,x71794))+~P1(f317(x71792,x71794))+P1(f317(f317(f317(f92(f905(x71791,a894)),x71792),x71793),x71794)) % 199.88/201.00 [7441]~P3(x74411)+E(f317(f317(f30(x74411),f317(f317(f234(x74411),x74412),x74413)),f317(f317(f234(x74411),x74414),x74413)),f317(f317(f234(x74411),f317(f317(f30(x74411),x74412),x74414)),x74413))+~P1(f317(f317(f277(x74411),x74414),x74412)) % 199.88/201.00 [7674]~P77(x76741)+E(f317(f317(f74(x76741),f317(x76742,x76743)),f317(f317(f6(a898,x76741),x76742),f317(f292(a898,f317(a102,x76743)),x76744))),f317(f317(f6(a898,x76741),x76742),f317(f292(a898,x76743),x76744)))+~P1(f317(f317(f226(a898),x76743),x76744)) % 199.88/201.00 [7692]E(x76921,x76922)+P1(f317(f317(f162(x76923),x76924),x76922))+~P1(f317(f317(f162(x76923),f317(f317(f141(x76923),x76921),x76924)),x76922)) % 199.88/201.00 [7704]~P108(x77041)+P1(f317(f317(f225(x77041),x77042),x77043))+~P1(f317(f317(f225(x77041),f317(f317(f224(x77041),x77044),x77042)),x77043)) % 199.88/201.00 [7706]~P108(x77061)+P1(f317(f317(f225(x77061),x77062),x77063))+~P1(f317(f317(f225(x77061),f317(f317(f224(x77061),x77062),x77064)),x77063)) % 199.88/201.00 [7708]~P103(x77081)+P1(f317(f317(f225(x77081),x77082),x77083))+~P1(f317(f317(f225(x77081),f317(f317(f91(x77081),x77084),x77082)),x77083)) % 199.88/201.00 [7710]~P103(x77101)+P1(f317(f317(f225(x77101),x77102),x77103))+~P1(f317(f317(f225(x77101),f317(f317(f91(x77101),x77102),x77104)),x77103)) % 199.88/201.00 [7711]~P108(x77111)+P1(f317(f317(f226(x77111),x77112),x77113))+~P1(f317(f317(f226(x77111),f317(f317(f224(x77111),x77114),x77112)),x77113)) % 199.88/201.00 [7712]~P108(x77121)+P1(f317(f317(f226(x77121),x77122),x77123))+~P1(f317(f317(f226(x77121),f317(f317(f224(x77121),x77122),x77124)),x77123)) % 199.88/201.00 [7713]~P112(x77131)+P1(f317(f317(f277(x77131),x77132),x77133))+~P1(f317(f317(f277(x77131),f317(f317(f75(x77131),x77134),x77132)),x77133)) % 199.88/201.00 [7714]~P112(x77141)+P1(f317(f317(f277(x77141),x77142),x77143))+~P1(f317(f317(f277(x77141),f317(f317(f75(x77141),x77142),x77144)),x77143)) % 199.88/201.00 [7790]~P1(f317(f317(f319(x77901),x77902),x77904))+P1(f317(f317(f319(x77901),x77902),x77903))+P1(f317(f317(f319(x77901),x77902),f317(f317(f23(f905(x77901,a894)),x77904),x77903))) % 199.88/201.00 [7874]P1(f317(x78741,x78742))+P1(f317(x78743,x78742))+~P1(f317(f317(f317(f91(f905(x78744,a894)),x78743),x78741),x78742)) % 199.88/201.00 [7886]~P1(f317(f317(f319(x78861),x78862),x78864))+~P1(f317(f317(f319(x78861),x78862),x78863))+P1(f317(f317(f319(x78861),x78862),f317(f317(f92(f905(x78861,a894)),x78863),x78864))) % 199.88/201.00 [7934]~P108(x79341)+~P1(f317(f28(x79341),x79344))+E(f317(f317(f58(x79341,x79341,f229(x79341)),x79342),f317(f317(f299(x79341),x79343),x79344)),f317(f317(f229(x79341),x79343),f317(f317(f58(x79341,x79341,f229(x79341)),x79342),x79344))) % 199.88/201.00 [7935]~P108(x79351)+~P1(f317(f28(x79351),x79354))+E(f317(f317(f58(x79351,x79351,f224(x79351)),x79352),f317(f317(f299(x79351),x79353),x79354)),f317(f317(f224(x79351),x79353),f317(f317(f58(x79351,x79351,f224(x79351)),x79352),x79354))) % 199.88/201.00 [7936]~P103(x79361)+~P1(f317(f28(x79361),x79364))+E(f317(f317(f58(x79361,x79361,f91(x79361)),x79362),f317(f317(f299(x79361),x79363),x79364)),f317(f317(f91(x79361),x79363),f317(f317(f58(x79361,x79361,f91(x79361)),x79362),x79364))) % 199.88/201.00 [7937]~P104(x79371)+~P1(f317(f28(x79371),x79374))+E(f317(f317(f58(x79371,x79371,f92(x79371)),x79372),f317(f317(f299(x79371),x79373),x79374)),f317(f317(f92(x79371),x79373),f317(f317(f58(x79371,x79371,f92(x79371)),x79372),x79374))) % 199.88/201.00 [7939]~P140(x79391)+~P94(x79391)+E(f317(f317(f23(x79391),f317(f317(f75(x79391),f317(f94(x79391),x79392)),x79393)),f317(f317(f75(x79391),f317(f94(x79391),x79392)),x79394)),f317(f317(f75(x79391),f317(f94(x79391),x79392)),f317(f317(f23(x79391),x79393),x79394))) % 199.88/201.00 [7940]~P143(x79401)+~P94(x79401)+E(f317(f317(f74(x79401),f317(f317(f75(x79401),f317(f94(x79401),x79402)),x79403)),f317(f317(f75(x79401),f317(f94(x79401),x79402)),x79404)),f317(f317(f75(x79401),f317(f94(x79401),x79402)),f317(f317(f74(x79401),x79403),x79404))) % 199.88/201.00 [8055]E(x80551,x80552)+P1(f317(f317(f319(x80553),x80551),f317(f162(x80553),x80554)))+~P1(f317(f317(f319(x80553),x80551),f317(f162(x80553),f317(f317(f141(x80553),x80552),x80554)))) % 199.88/201.00 [8226]P54(x82261,x82262,x82263)+~P54(x82261,x82262,x82264)+~P1(f317(f317(f225(f905(f904(x82261,x82262),a894)),x82263),x82264)) % 199.88/201.00 [8274]P1(f317(f317(f319(x82741),x82742),x82743))+P1(f317(f317(f319(x82741),x82742),x82744))+~P1(f317(f317(f319(x82741),x82742),f317(f317(f91(f905(x82741,a894)),x82744),x82743))) % 199.88/201.00 [8284]~P52(x82841,x82844,x82843)+~P1(f317(f317(f319(x82841),x82842),x82844))+P1(f317(f317(f319(f904(x82841,x82841)),f317(f317(f242(x82841,x82841),x82842),x82842)),x82843)) % 199.88/201.00 [8296]~P1(f317(f28(x82962),x82964))+~P1(f317(f28(x82961),x82963))+P1(f317(f28(f904(x82961,x82962)),f317(f317(f244(x82961,x82962),x82963),f317(f16(f905(x82962,a894),x82961),x82964)))) % 199.88/201.00 [8297]~P1(f317(f317(f319(x82971),x82972),x82974))+~P1(f317(f317(f225(f905(x82971,a894)),x82973),x82974))+P1(f317(f317(f225(f905(x82971,a894)),f317(f317(f299(x82971),x82972),x82973)),x82974)) % 199.88/201.00 [8304]~P78(x83042)+~P144(x83042)+E(f317(f317(f9(x83041,x83042),f317(f317(f8(a898,x83042,x83041),f90(x83042)),x83043)),x83044),f317(f90(x83042),f317(f317(f9(x83041,a898),x83043),x83044))) % 199.88/201.00 [8305]~P128(x83052)+~P78(x83052)+E(f317(f317(f9(x83051,x83052),f317(f317(f8(a1,x83052,x83051),f93(x83052)),x83053)),x83054),f317(f93(x83052),f317(f317(f9(x83051,a1),x83053),x83054))) % 199.88/201.00 [8329]E(f317(f317(f23(f905(x83291,a894)),x83292),f317(f317(f23(f905(x83291,a894)),x83293),x83294)),x83294)+~P1(f317(f317(f225(f905(x83291,a894)),x83292),x83293))+~P1(f317(f317(f225(f905(x83291,a894)),x83294),x83292)) % 199.88/201.00 [8426]~P1(f317(f28(x84261),x84264))+E(f317(f317(f23(a898),f317(f317(f6(x84261,a898),x84262),x84263)),f317(f317(f6(x84261,a898),x84262),x84264)),f317(f317(f6(x84261,a898),x84262),f317(f317(f23(f905(x84261,a894)),x84263),x84264)))+~P1(f317(f317(f225(f905(x84261,a894)),x84264),x84263)) % 199.88/201.00 [8578]~P8(x85781,x85784,x85783)+~P1(f317(f317(f319(x85781),x85782),x85784))+P1(f317(f317(f319(x85781),x85782),f317(f275(x85781,x85781,x85783),f317(f317(f299(x85781),x85782),f178(f905(x85781,a894)))))) % 199.88/201.00 [8639]~P1(f317(f317(f225(f905(x86391,a894)),x86392),x86393))+~P1(f317(f317(f225(f905(x86391,a894)),x86392),x86394))+P1(f317(f317(f225(f905(x86391,a894)),x86392),f317(f317(f92(f905(x86391,a894)),x86393),x86394))) % 199.88/201.00 [8741]E(x87411,f178(f905(x87412,a894)))+P1(f317(f28(x87413),x87414))+~P1(f317(f28(f904(x87413,x87412)),f317(f317(f244(x87413,x87412),x87414),f317(f16(f905(x87412,a894),x87413),x87411)))) % 199.88/201.00 [8742]E(x87421,f178(f905(x87422,a894)))+P1(f317(f28(x87423),x87424))+~P1(f317(f28(f904(x87422,x87423)),f317(f317(f244(x87422,x87423),x87421),f317(f16(f905(x87423,a894),x87422),x87424)))) % 199.88/201.00 [8815]P1(f317(f317(f319(x88151),x88152),f306(x88151,x88153)))+~P1(f317(f317(f319(x88151),x88154),f306(x88151,x88153)))+~P1(f317(f317(f319(f904(x88151,x88151)),f317(f317(f242(x88151,x88151),x88152),x88154)),x88153)) % 199.88/201.00 [8872]~P36(x88721,x88724)+P1(f317(f317(f319(f904(x88721,x88721)),f317(f317(f242(x88721,x88721),x88723),x88722)),f297(x88721,x88724)))+P36(x88721,f317(f317(f299(f904(x88721,x88721)),f317(f317(f242(x88721,x88721),x88722),x88723)),x88724)) % 199.88/201.00 [8873]~P57(x88731,x88734)+P1(f317(f317(f319(f904(x88731,x88731)),f317(f317(f242(x88731,x88731),x88733),x88732)),f297(x88731,x88734)))+P57(x88731,f317(f317(f299(f904(x88731,x88731)),f317(f317(f242(x88731,x88731),x88732),x88733)),x88734)) % 199.88/201.00 [8955]~E(x89552,x89553)+~P1(f317(f317(f319(x89551),x89552),f317(f162(x89551),x89554)))+P1(f317(f317(f319(f904(x89551,x89551)),f317(f317(f242(x89551,x89551),x89552),x89553)),f317(f162(f904(x89551,x89551)),f317(f317(f171(x89551,x89551),x89554),x89554)))) % 199.88/201.00 [9043]~E(x90433,x90434)+P1(f317(f317(f247(x90431,x90431,a894),a314),x90432))+~P1(f317(f317(f319(f904(x90431,x90431)),x90432),f317(f162(f904(x90431,x90431)),f317(f317(f171(x90431,x90431),x90433),x90434)))) % 199.88/201.00 [9087]P1(f317(f317(f319(f904(f899(x90871),f899(x90871))),f317(f317(f242(f899(x90871),f899(x90871)),x90872),x90873)),f137(x90871,x90874)))+~E(f317(f317(f165(x90871),f317(f179(f899(x90871)),x90872)),x90873),x90872)+~P1(f317(f317(f226(a898),f317(f179(f899(x90871)),x90872)),f317(f179(f899(x90871)),x90873))) % 199.88/201.00 [9090]~P51(x90901,x90904)+~P1(f317(f317(f319(f904(x90901,x90901)),f317(f317(f242(x90901,x90901),x90903),x90902)),x90904))+P1(f317(f317(f319(f904(x90901,x90901)),f317(f317(f242(x90901,x90901),x90902),x90903)),x90904)) % 199.88/201.00 [9183]~P1(f317(f28(x91831),x91834))+P1(f317(f317(f319(x91831),f357(x91832,x91833,x91834,x91831)),x91834))+P1(f317(f28(x91833),f317(f317(f34(x91831,f905(x91833,a894)),x91834),x91832))) % 199.88/201.00 [9184]~P1(f317(f28(x91841),x91844))+P1(f317(f317(f319(x91841),f553(x91842,x91843,x91844,x91841)),x91844))+P1(f317(f28(x91843),f317(f317(f34(x91841,f905(x91843,a894)),x91844),x91842))) % 199.88/201.00 [9269]P1(f317(f317(f319(f904(x92691,x92691)),x92692),f317(f317(f279(x92691,x92691,x92691),x92693),f297(x92691,x92693))))+~P1(f317(f317(f226(a898),f2(a898)),x92694))+~P1(f317(f317(f319(f904(x92691,x92691)),x92692),f317(f317(f173(f904(x92691,x92691),a894),x92694),x92693))) % 199.88/201.00 [9277]~P36(x92771,x92772)+~P1(f317(f317(f319(f904(x92771,x92771)),f317(f317(f242(x92771,x92771),x92774),x92773)),x92772))+~P1(f317(f317(f319(f904(x92771,x92771)),f317(f317(f242(x92771,x92771),x92773),x92774)),x92772)) % 199.88/201.00 [9407]~P1(f317(f28(x94071),x94074))+E(f317(f317(f6(x94071,a898),f317(f317(f8(f905(x94072,a894),a898,x94071),f29(x94072)),x94073)),x94074),f317(f29(f904(x94071,x94072)),f317(f317(f244(x94071,x94072),x94074),x94073)))+P1(f317(f317(f319(x94071),f506(x94073,x94072,x94074,x94071)),x94074)) % 199.88/201.00 [9411]~P1(f317(f127(x94111),x94112))+P1(f317(f127(x94111),f317(f317(f149(x94111,x94112),x94113),x94114)))+P1(f317(f317(f319(x94111),x94114),f317(f317(f23(f905(x94111,a894)),f317(f162(x94111),x94112)),f317(f317(f299(x94111),f317(f317(f154(x94111),x94112),x94113)),f178(f905(x94111,a894)))))) % 199.88/201.00 [9428]~P1(f317(f28(x94282),x94283))+~P1(f317(f28(x94281),f317(x94284,f357(x94284,x94281,x94283,x94282))))+P1(f317(f28(x94281),f317(f317(f34(x94282,f905(x94281,a894)),x94283),x94284))) % 199.88/201.00 [9429]~P1(f317(f28(x94292),x94293))+~P1(f317(f28(x94291),f317(x94294,f553(x94294,x94291,x94293,x94292))))+P1(f317(f28(x94291),f317(f317(f34(x94292,f905(x94291,a894)),x94293),x94294))) % 199.88/201.00 [9507]~P1(f317(f317(f319(f904(x95071,x95071)),x95072),f317(f317(f279(x95071,x95071,x95071),x95074),f297(x95071,x95074))))+P1(f317(f317(f319(f904(x95071,x95071)),x95072),f317(f317(f279(x95071,x95071,x95071),x95073),f297(x95071,x95073))))+~P1(f317(f317(f225(f905(f904(x95071,x95071),a894)),x95074),x95073)) % 199.88/201.00 [9517]E(f317(f317(f165(x95171),f638(x95174,x95173,x95172,x95171)),x95173),f317(f317(f165(x95171),f638(x95174,x95173,x95172,x95171)),x95172))+~P1(f317(f317(f319(f904(f899(x95171),f899(x95171))),f317(f317(f242(f899(x95171),f899(x95171)),x95172),x95173)),f137(x95171,x95174)))+E(f317(f317(f165(x95171),f317(f179(f899(x95171)),x95172)),x95173),x95172) % 199.88/201.00 [9533]~P1(f317(f28(x95331),x95334))+E(f317(f317(f6(x95331,a898),f317(f317(f8(f905(x95332,a894),a898,x95331),f29(x95332)),x95333)),x95334),f317(f29(f904(x95331,x95332)),f317(f317(f244(x95331,x95332),x95334),x95333)))+~P1(f317(f28(x95332),f317(x95333,f506(x95333,x95332,x95334,x95331)))) % 199.88/201.00 [9537]~E(f317(f179(f899(x95371)),x95373),f317(f179(f899(x95371)),x95372))+P1(f317(f317(f319(f904(f899(x95371),f899(x95371))),f317(f317(f242(f899(x95371),f899(x95371)),x95372),x95373)),f148(x95371,x95374)))+P1(f317(f317(f319(f904(x95371,x95371)),f641(x95374,x95373,x95372,x95371)),f317(f162(f904(x95371,x95371)),f317(f317(f171(x95371,x95371),x95372),x95373)))) % 199.88/201.00 [9626]~P1(f317(f317(f319(f904(f899(x96261),f899(x96261))),f317(f317(f242(f899(x96261),f899(x96261)),x96262),x96263)),f137(x96261,x96264)))+E(f317(f317(f165(x96261),f317(f179(f899(x96261)),x96262)),x96263),x96262)+P1(f317(f317(f226(a898),f638(x96264,x96263,x96262,x96261)),f317(f317(f229(a898),f317(f179(f899(x96261)),x96262)),f317(f179(f899(x96261)),x96263)))) % 199.88/201.00 [9650]~P1(f317(f317(f319(f904(f899(x96501),f899(x96501))),f317(f317(f242(f899(x96501),f899(x96501)),x96502),x96503)),f137(x96501,x96504)))+P1(f317(f317(f226(a898),f317(f179(f899(x96501)),x96502)),f317(f179(f899(x96501)),x96503)))+P1(f317(f317(f226(a898),f638(x96504,x96503,x96502,x96501)),f317(f317(f229(a898),f317(f179(f899(x96501)),x96502)),f317(f179(f899(x96501)),x96503)))) % 199.88/201.00 [10050]~P1(f317(f317(f319(f904(f899(x100501),f899(x100501))),f317(f317(f242(f899(x100501),f899(x100501)),x100502),x100503)),f137(x100501,x100504)))+E(f317(f317(f165(x100501),f317(f179(f899(x100501)),x100502)),x100503),x100502)+P1(f317(f317(f319(f904(x100501,x100501)),f317(f317(f242(x100501,x100501),f317(f317(f154(x100501),x100502),f638(x100504,x100503,x100502,x100501))),f317(f317(f154(x100501),x100503),f638(x100504,x100503,x100502,x100501)))),x100504)) % 199.88/201.00 [10051]~P1(f317(f317(f319(f904(f899(x100511),f899(x100511))),f317(f317(f242(f899(x100511),f899(x100511)),x100512),x100513)),f137(x100511,x100514)))+P1(f317(f317(f226(a898),f317(f179(f899(x100511)),x100512)),f317(f179(f899(x100511)),x100513)))+P1(f317(f317(f319(f904(x100511,x100511)),f317(f317(f242(x100511,x100511),f317(f317(f154(x100511),x100512),f638(x100514,x100513,x100512,x100511))),f317(f317(f154(x100511),x100513),f638(x100514,x100513,x100512,x100511)))),x100514)) % 199.88/201.00 [10118]~E(f317(f179(f899(x101181)),x101182),f317(f179(f899(x101181)),x101183))+P1(f317(f317(f319(f904(f899(x101181),f899(x101181))),f317(f317(f242(f899(x101181),f899(x101181)),x101182),x101183)),f148(x101181,x101184)))+~P1(f317(f317(f319(f904(x101181,x101181)),f317(f317(f242(x101181,x101181),f317(f317(f154(x101181),x101182),f625(x101184,x101183,x101182,x101181))),f317(f317(f154(x101181),x101183),f625(x101184,x101183,x101182,x101181)))),x101184)) % 199.88/201.00 [10266]~P77(x102661)+~P1(f317(f28(x102662),x102664))+E(f317(f155(x102661),f317(f317(f144(x102662,x102661),x102663),f84(f899(x102662),f317(f317(f18(f899(x102662),a894,a894),f317(f317(f8(a894,f905(a894,a894),f899(x102662)),a315),f317(f317(f7(f899(x102662),f905(x102662,a894),a894),f317(f317(f8(f905(x102662,a894),f905(f905(x102662,a894),a894),f899(x102662)),a314),f162(x102662))),x102664))),f127(x102662))))),f221(x102662,x102661,x102663,x102664)) % 199.88/201.00 [7522]~P61(x75222)+E(x75221,f2(x75222))+E(f317(f317(f281(x75222),f317(f317(f74(x75222),x75223),f317(f317(f75(x75222),x75224),x75221))),x75221),f317(f317(f74(x75222),x75224),f317(f317(f281(x75222),x75223),x75221))) % 199.88/201.00 [7523]~P3(x75232)+E(x75231,f2(x75232))+E(f317(f317(f30(x75232),f317(f317(f74(x75232),x75233),f317(f317(f75(x75232),x75234),x75231))),x75231),f317(f317(f74(x75232),x75234),f317(f317(f30(x75232),x75233),x75231))) % 199.88/201.00 [7524]~P3(x75242)+E(x75241,f2(x75242))+E(f317(f317(f30(x75242),f317(f317(f74(x75242),x75243),f317(f317(f75(x75242),x75241),x75244))),x75241),f317(f317(f74(x75242),x75244),f317(f317(f30(x75242),x75243),x75241))) % 199.88/201.00 [7753]~P62(x77532)+E(x77531,f2(x77532))+E(f317(f317(f281(x77532),f317(f317(f23(x77532),x77533),f317(f317(f75(x77532),x77531),x77534))),x77531),f317(f317(f23(x77532),f317(f317(f281(x77532),x77533),x77531)),x77534)) % 199.88/201.00 [7754]~P61(x77542)+E(x77541,f2(x77542))+E(f317(f317(f281(x77542),f317(f317(f74(x77542),x77543),f317(f317(f75(x77542),x77544),x77541))),x77541),f317(f317(f74(x77542),f317(f317(f281(x77542),x77543),x77541)),x77544)) % 199.88/201.00 [7755]~P62(x77552)+E(x77551,f2(x77552))+E(f317(f317(f281(x77552),f317(f317(f74(x77552),x77553),f317(f317(f75(x77552),x77551),x77554))),x77551),f317(f317(f74(x77552),f317(f317(f281(x77552),x77553),x77551)),x77554)) % 199.88/201.00 [8458]~P1(f317(f150(x84581,x84583),x84584))+~P1(f317(f150(x84581,x84582),x84584))+P1(f317(f150(x84581,f317(f317(f92(f905(x84581,a894)),x84582),x84583)),x84584)) % 199.88/201.00 [8830]~E(f317(f317(f279(x88301,x88301,x88301),x88302),x88304),f178(f905(f904(x88301,x88301),a894)))+~E(f317(f317(f279(x88301,x88301,x88301),x88302),x88303),f178(f905(f904(x88301,x88301),a894)))+E(f317(f317(f279(x88301,x88301,x88301),x88302),f317(f317(f91(f905(f904(x88301,x88301),a894)),x88303),x88304)),f178(f905(f904(x88301,x88301),a894))) % 199.88/201.00 [8956]~P1(f317(f317(f225(f905(x89561,a894)),x89563),x89564))+~P1(f317(f317(f225(f905(x89561,a894)),x89562),x89564))+P1(f317(f317(f225(f905(x89561,a894)),f317(f317(f91(f905(x89561,a894)),x89562),x89563)),x89564)) % 199.88/201.00 [9333]~P1(f317(f28(x93331),x93334))+~P1(f317(f28(x93331),x93333))+E(f317(f317(f23(a898),f317(f317(f74(a898),f317(f317(f6(x93331,a898),x93332),x93333)),f317(f317(f6(x93331,a898),x93332),x93334))),f317(f317(f6(x93331,a898),x93332),f317(f317(f92(f905(x93331,a894)),x93333),x93334))),f317(f317(f6(x93331,a898),x93332),f317(f317(f91(f905(x93331,a894)),x93333),x93334))) % 199.88/201.00 [9425]~P1(f317(f317(f319(x94251),x94253),x94252))+~P1(f317(f317(f225(f905(x94251,a894)),x94252),f317(f317(f299(x94251),x94253),x94254)))+P1(f317(f317(f225(f905(x94251,a894)),f317(f317(f23(f905(x94251,a894)),x94252),f317(f317(f299(x94251),x94253),f178(f905(x94251,a894))))),x94254)) % 199.88/201.00 [9601]~P1(f317(f317(f319(x96011),x96013),x96012))+P1(f317(f317(f225(f905(x96011,a894)),x96012),f317(f317(f299(x96011),x96013),x96014)))+~P1(f317(f317(f225(f905(x96011,a894)),f317(f317(f23(f905(x96011,a894)),x96012),f317(f317(f299(x96011),x96013),f178(f905(x96011,a894))))),x96014)) % 199.88/201.00 [9690]~P1(f317(f317(f225(a898),x96901),x96903))+~P1(f317(f317(f226(a898),x96902),x96904))+P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),f317(f317(f242(a898,a898),x96901),x96902)),f317(f317(f242(a898,a898),x96903),x96904))),a26)) % 199.88/201.00 [9691]~P1(f317(f317(f225(a898),x96912),x96914))+~P1(f317(f317(f225(a898),x96911),x96913))+P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),f317(f317(f242(a898,a898),x96911),x96912)),f317(f317(f242(a898,a898),x96913),x96914))),a65)) % 199.88/201.00 [9981]~P1(f317(f317(f319(f899(x99811)),x99814),f151(x99811,x99813)))+~P1(f317(f317(f319(f899(x99811)),x99814),f151(x99811,x99812)))+P1(f317(f150(x99811,f317(f317(f92(f905(x99811,a894)),f317(f317(f7(x99811,f905(x99811,a894),a894),f319(x99811)),x99812)),f317(f317(f7(x99811,f905(x99811,a894),a894),f319(x99811)),x99813))),x99814)) % 199.88/201.00 [10084]~P24(x100841,f905(f905(x100841,a894),a894),f317(f317(f7(x100841,f905(f904(x100841,x100841),a894),f905(f905(x100841,a894),a894)),f317(f317(f8(f905(x100841,a894),f905(f905(f904(x100841,x100841),a894),f905(f905(x100841,a894),a894)),x100841),f55(x100841)),f317(f317(f7(x100841,f905(x100841,a894),f905(x100841,a894)),f299(x100841)),f178(f905(x100841,a894))))),x100843),x100842)+~P1(f317(f317(f319(x100841),x100844),x100842))+E(f317(f317(f23(f905(f905(x100841,a894),a894)),f317(f317(f55(x100841),x100842),x100843)),f317(f317(f55(x100841),f317(f317(f299(x100841),x100844),f178(f905(x100841,a894)))),x100843)),f317(f317(f55(x100841),f317(f317(f23(f905(x100841,a894)),x100842),f317(f317(f299(x100841),x100844),f178(f905(x100841,a894))))),x100843)) % 199.88/201.00 [10220]~P52(x102201,x102202,x102204)+~P1(f317(f317(f319(f904(x102201,x102201)),x102203),x102204))+P1(f317(f317(f247(x102201,x102201,a894),f317(f317(f7(x102201,f905(x102201,a894),f905(x102201,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x102201,a894),f905(x102201,a894)),x102201),f8(a894,a894,x102201)),f317(f317(f8(a894,f905(a894,a894),x102201),a315),f317(f317(f7(x102201,f905(x102201,a894),a894),f319(x102201)),x102202)))),f317(f317(f7(x102201,f905(x102201,a894),a894),f319(x102201)),x102202))),x102203)) % 199.88/201.00 [10232]P1(f317(f28(x102321),x102322))+~P1(f317(f28(x102323),f317(f300(x102321,x102323,x102324),x102322)))+~P1(f317(f28(x102321),f317(f252(x102321),f317(f317(f18(x102321,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102321),a315),f317(f317(f7(x102321,f905(x102321,a894),a894),f319(x102321)),x102322))),f317(f317(f7(x102321,x102323,a894),f317(f317(f8(x102323,f905(x102323,a894),x102321),a314),x102324)),f317(x102324,f532(x102324,x102323,x102322,x102321))))))) % 199.88/201.00 [8210]~P62(x82102)+E(x82101,f2(x82102))+E(f317(f317(f281(x82102),f317(f317(f23(x82102),f317(f317(f75(x82102),x82101),x82103)),x82104)),x82101),f317(f317(f23(x82102),x82103),f317(f317(f281(x82102),x82104),x82101))) % 199.88/201.00 [8211]~P62(x82112)+E(x82111,f2(x82112))+E(f317(f317(f281(x82112),f317(f317(f74(x82112),f317(f317(f75(x82112),x82111),x82113)),x82114)),x82111),f317(f317(f74(x82112),x82113),f317(f317(f281(x82112),x82114),x82111))) % 199.88/201.00 [9116]~E(f317(f317(f279(x91161,x91161,x91161),x91163),x91164),f178(f905(f904(x91161,x91161),a894)))+~E(f317(f317(f279(x91161,x91161,x91161),x91162),x91164),f178(f905(f904(x91161,x91161),a894)))+E(f317(f317(f279(x91161,x91161,x91161),f317(f317(f91(f905(f904(x91161,x91161),a894)),x91162),x91163)),x91164),f178(f905(f904(x91161,x91161),a894))) % 199.88/201.00 [9898]~P1(f317(f150(x98981,x98983),x98984))+~P1(f317(f150(x98981,x98982),x98984))+P1(f317(f150(x98981,f317(f317(f18(x98981,a894,a894),f317(f317(f8(a894,f905(a894,a894),x98981),a315),x98982)),x98983)),x98984)) % 199.88/201.00 [10158]P1(f317(x101581,f525(x101582,x101583,x101581,x101584)))+~P1(f317(f28(x101584),f317(f252(x101584),x101581)))+P1(f317(f28(x101583),f317(f252(x101583),f317(f317(f8(f905(x101584,a894),a894,x101583),f81(x101584)),f317(f317(f8(f905(x101584,a894),f905(x101584,a894),x101583),f317(f18(x101584,a894,a894),f317(f317(f8(a894,f905(a894,a894),x101584),a315),x101581))),x101582))))) % 199.88/201.00 [10176]~P1(f317(f28(x101762),f317(f252(x101762),x101763)))+~P1(f317(f28(x101761),f317(f252(x101761),f317(f317(f7(x101761,x101762,a894),x101764),f525(x101764,x101761,x101763,x101762)))))+P1(f317(f28(x101761),f317(f252(x101761),f317(f317(f8(f905(x101762,a894),a894,x101761),f81(x101762)),f317(f317(f8(f905(x101762,a894),f905(x101762,a894),x101761),f317(f18(x101762,a894,a894),f317(f317(f8(a894,f905(a894,a894),x101762),a315),x101763))),x101764))))) % 199.88/201.00 [10245]~P1(f317(f28(x102451),x102454))+P1(f317(f317(f319(x102451),f774(x102452,x102453,x102454,x102451)),x102454))+P1(f317(f28(x102453),f317(f252(x102453),f317(f317(f8(f905(x102451,a894),a894,x102453),f81(x102451)),f317(f317(f8(f905(x102451,a894),f905(x102451,a894),x102453),f317(f18(x102451,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102451),a315),f317(f317(f7(x102451,f905(x102451,a894),a894),f319(x102451)),x102454)))),x102452))))) % 199.88/201.00 [10251]~P1(f317(f28(x102512),x102513))+~P1(f317(f28(x102511),f317(f252(x102511),f317(f317(f7(x102511,x102512,a894),x102514),f774(x102514,x102511,x102513,x102512)))))+P1(f317(f28(x102511),f317(f252(x102511),f317(f317(f8(f905(x102512,a894),a894,x102511),f81(x102512)),f317(f317(f8(f905(x102512,a894),f905(x102512,a894),x102511),f317(f18(x102512,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102512),a315),f317(f317(f7(x102512,f905(x102512,a894),a894),f319(x102512)),x102513)))),x102514))))) % 199.88/201.00 [5101]~E(x51012,x51014)+E(f159(x51011,x51012,x51013),f159(x51011,x51014,x51015))+~E(x51012,f2(a898)) % 199.88/201.00 [5348]E(x53481,x53482)+~E(f159(x53484,x53483,x53481),f159(x53484,x53485,x53482))+E(x53483,f2(a898)) % 199.88/201.00 [6643]E(x66431,x66432)+~E(f317(x66433,x66431),f317(x66433,x66432))+~P24(x66434,x66435,x66433,f232(f905(x66434,a894))) % 199.88/201.00 [7554]E(x75541,x75542)+~P24(x75543,x75544,x75545,f232(f905(x75543,a894)))+~E(f317(f300(x75543,x75544,x75545),x75541),f317(f300(x75543,x75544,x75545),x75542)) % 199.88/201.00 [7808]P24(x78082,x78083,f531(x78084,x78083,x78082,x78081),x78081)+~E(f317(f300(x78083,x78082,x78085),x78084),x78081)+E(x78081,f178(f905(x78082,a894))) % 199.88/201.00 [8340]~P1(f317(f317(x83403,x83402),x83405))+~P1(f317(f317(x83403,x83404),x83402))+P1(f317(f317(f319(x83401),x83402),f280(x83401,x83403,x83404,x83405))) % 199.88/201.00 [8341]~P1(f317(f317(x83413,x83412),x83415))+~P1(f317(f317(x83413,x83414),x83412))+P1(f317(f317(f319(x83411),x83412),f289(x83411,x83413,x83414,x83415))) % 199.88/201.00 [8647]~P24(x86471,x86472,x86473,x86474)+P25(x86471,x86472,x86473,x86474,x86475)+~E(f317(f300(x86471,x86472,x86473),x86474),x86475) % 199.88/201.00 [8780]~P25(x87801,x87803,x87804,x87802,x87805)+~P1(f317(f28(x87803),x87805))+P1(f317(f28(x87801),x87802)) % 199.88/201.00 [8781]~P25(x87813,x87811,x87814,x87815,x87812)+~P1(f317(f28(x87813),x87815))+P1(f317(f28(x87811),x87812)) % 199.88/201.00 [8913]~P24(x89131,x89133,x89135,f232(f905(x89131,a894)))+~P24(x89133,x89132,x89134,f232(f905(x89133,a894)))+P24(x89131,x89132,f317(f67(x89133,x89132,x89131,x89134),x89135),f232(f905(x89131,a894))) % 199.88/201.00 [9484]P1(f317(f317(f319(f904(x94841,x94841)),f317(f317(f242(x94841,x94841),x94842),x94843)),f297(x94841,x94844)))+~P1(f317(f317(f319(f904(x94841,x94841)),f317(f317(f242(x94841,x94841),x94842),x94845)),f297(x94841,x94844)))+~P1(f317(f317(f319(f904(x94841,x94841)),f317(f317(f242(x94841,x94841),x94845),x94843)),f297(x94841,x94844))) % 199.88/201.00 [9524]~P108(x95242)+~P1(f317(f127(x95241),x95245))+P1(f317(f127(x95241),f139(x95241,x95242,x95243,x95244,x95245))) % 199.88/201.00 [5425]~E(x54252,f103(x54251))+E(f317(f317(f124(x54251),x54252),x54253),f317(f317(f141(x54251),x54254),x54255))+~E(x54253,f317(f317(f141(x54251),x54254),x54255)) % 199.88/201.00 [5426]~E(x54262,f103(x54261))+E(f317(f317(f124(x54261),x54262),x54263),f317(f317(f141(x54261),x54264),x54265))+~E(f317(f317(f141(x54261),x54264),x54265),x54263) % 199.88/201.00 [6599]~E(f317(f179(f899(x65991)),x65995),f317(f179(f899(x65992)),x65994))+E(f317(f317(f144(f904(x65991,x65992),x65992),f246(x65991,x65992)),x65993),x65994)+~E(f317(f317(f171(x65991,x65992),x65995),x65994),x65993) % 199.88/201.00 [6600]~E(f317(f179(f899(x66001)),x66004),f317(f179(f899(x66002)),x66005))+E(f317(f317(f144(f904(x66001,x66002),x66001),f241(x66001,x66002)),x66003),x66004)+~E(f317(f317(f171(x66001,x66002),x66004),x66005),x66003) % 199.88/201.00 [7090]~P108(x70901)+~P13(x70901,f317(f317(f144(x70902,x70901),x70903),x70905))+P13(x70901,f317(f317(f144(x70902,x70901),x70903),f317(f126(x70902,x70904),x70905))) % 199.88/201.00 [7232]~P108(x72321)+P13(x72321,f317(f317(f144(x72322,x72321),x72323),f160(x72322,x72324,x72325)))+~P13(x72321,f317(f317(f144(x72322,x72321),x72323),x72325)) % 199.88/201.00 [7255]~P54(x72553,x72552,x72555)+~P54(x72551,x72553,x72554)+P54(x72551,x72552,f317(f317(f279(x72551,x72553,x72552),x72554),x72555)) % 199.88/201.00 [7350]E(x73501,x73502)+~P24(x73503,x73504,x73505,f232(f905(x73503,a894)))+~E(f317(f317(f144(x73503,x73504),x73505),x73501),f317(f317(f144(x73503,x73504),x73505),x73502)) % 199.88/201.00 [7509]~P1(f317(f317(f225(a898),x75091),f317(x75093,x75095)))+P1(f317(f317(f225(a898),x75091),f145(x75092,x75093,x75094)))+~P1(f317(f317(f319(x75092),x75095),f317(f162(x75092),x75094))) % 199.88/201.00 [7510]~P1(f317(f317(f226(a898),x75101),f317(x75103,x75105)))+P1(f317(f317(f226(a898),x75101),f145(x75102,x75103,x75104)))+~P1(f317(f317(f319(x75102),x75105),f317(f162(x75102),x75104))) % 199.88/201.00 [7905]P1(f317(x79051,x79052))+~P1(f317(x79051,x79053))+~P1(f317(f317(f319(x79054),x79052),f317(f162(x79054),f159(x79054,x79055,x79053)))) % 199.88/201.00 [7906]P1(f317(x79061,x79062))+~P1(f317(x79061,x79063))+~P1(f317(f317(f319(x79064),x79063),f317(f162(x79064),f159(x79064,x79065,x79062)))) % 199.88/201.00 [7911]~P109(x79111)+P1(f317(f317(f225(f905(x79111,a894)),f293(x79111,x79112,x79113)),f293(x79111,x79114,x79115)))+P1(f317(f317(f225(x79111),x79112),x79113)) % 199.88/201.00 [7932]~P5(x79321)+P1(f317(f317(f225(x79321),f317(f317(f35(x79322,x79321),x79323),x79324)),f317(x79324,x79325)))+~P1(f317(f317(f319(x79322),x79325),x79323)) % 199.88/201.00 [8001]~P24(x80011,x80012,x80014,x80013)+E(f317(f71(x80011,x80012,x80013,x80014),f317(x80014,x80015)),x80015)+~P1(f317(f317(f319(x80011),x80015),x80013)) % 199.88/201.00 [8002]~P24(x80021,x80022,x80024,x80023)+E(f317(f85(x80021,x80022,x80023,x80024),f317(x80024,x80025)),x80025)+~P1(f317(f317(f319(x80021),x80025),x80023)) % 199.88/201.00 [8199]~P1(f317(x81991,x81995))+P1(f317(x81991,f324(x81991,x81992,x81993,x81994)))+~P1(f317(f317(f319(x81994),x81995),x81993)) % 199.88/201.00 [8200]~P1(f317(x82001,x82005))+P1(f317(x82001,f324(x82001,x82002,x82003,x82004)))+~P1(f317(f317(f319(x82004),x82005),x82002)) % 199.88/201.00 [8294]P1(f317(f28(x82941),x82942))+~P1(f317(f28(x82943),x82944))+~P1(f317(f317(f225(f905(x82941,a894)),x82942),f317(f300(x82943,x82941,x82945),x82944))) % 199.88/201.00 [8462]E(x84621,x84622)+~P24(x84623,x84624,x84625,f317(f317(f91(f905(x84623,a894)),f317(f162(x84623),x84621)),f317(f162(x84623),x84622)))+~E(f317(f317(f144(x84623,x84624),x84625),x84621),f317(f317(f144(x84623,x84624),x84625),x84622)) % 199.88/201.00 [8515]~P109(x85151)+~P1(f317(f317(f226(f905(x85151,a894)),f293(x85151,x85154,x85155)),f293(x85151,x85152,x85153)))+P1(f317(f317(f225(x85151),x85152),x85153)) % 199.88/201.00 [8577]~P24(x85771,x85774,x85775,f232(f905(x85771,a894)))+~P1(f317(f317(f319(x85774),f317(x85775,x85772)),f317(f300(x85771,x85774,x85775),x85773)))+P1(f317(f317(f319(x85771),x85772),x85773)) % 199.88/201.00 [8653]P1(f317(x86531,x86532))+~P1(f317(x86531,f342(x86531,x86533,x86534,x86535)))+~P1(f317(f317(f319(x86535),x86532),x86534)) % 199.88/201.00 [8654]P1(f317(x86541,x86542))+~P1(f317(x86541,f342(x86541,x86543,x86544,x86545)))+~P1(f317(f317(f319(x86545),x86542),x86543)) % 199.88/201.00 [8953]~P24(x89532,x89533,x89531,x89534)+E(f317(x89531,f317(f71(x89532,x89533,x89534,x89531),x89535)),x89535)+~P1(f317(f317(f319(x89533),x89535),f317(f300(x89532,x89533,x89531),x89534))) % 199.88/201.00 [9056]E(x90561,f103(x90562))+E(f317(f317(f141(x90562),x90563),f656(x90564,x90563,x90565,x90561,x90562)),x90561)+~E(f317(f317(f124(x90562),x90561),x90565),f317(f317(f141(x90562),x90563),x90564)) % 199.88/201.00 [9057]E(x90571,f103(x90572))+E(f317(f317(f141(x90572),x90573),f657(x90574,x90571,x90575,x90573,x90572)),x90571)+~E(f317(f317(f124(x90572),x90571),x90574),f317(f317(f141(x90572),x90573),x90575)) % 199.88/201.00 [9075]E(f317(f317(f141(x90752),x90753),f656(x90754,x90753,x90751,x90755,x90752)),x90755)+~E(f317(f317(f124(x90752),x90755),x90751),f317(f317(f141(x90752),x90753),x90754))+E(x90751,f317(f317(f141(x90752),x90753),x90754)) % 199.88/201.00 [9076]E(f317(f317(f141(x90761),x90762),f657(x90764,x90765,x90763,x90762,x90761)),x90765)+~E(f317(f317(f124(x90761),x90765),x90764),f317(f317(f141(x90761),x90762),x90763))+E(f317(f317(f141(x90761),x90762),x90763),x90764) % 199.88/201.00 [9153]~E(f317(f300(x91533,x91532,x91534),f232(f905(x91533,a894))),f232(f905(x91532,a894)))+~E(f317(f300(x91531,x91533,x91535),f232(f905(x91531,a894))),f232(f905(x91533,a894)))+E(f317(f300(x91531,x91532,f317(f67(x91533,x91532,x91531,x91534),x91535)),f232(f905(x91531,a894))),f232(f905(x91532,a894))) % 199.88/201.00 [9530]E(x95301,f103(x95302))+~E(f317(f317(f124(x95302),x95301),x95303),f317(f317(f141(x95302),x95305),x95304))+E(f317(f317(f124(x95302),f657(x95303,x95301,x95304,x95305,x95302)),x95303),x95304) % 199.88/201.00 [9531]E(x95311,f103(x95312))+~E(f317(f317(f124(x95312),x95311),x95315),f317(f317(f141(x95312),x95314),x95313))+E(f317(f317(f124(x95312),f656(x95313,x95314,x95315,x95311,x95312)),x95315),x95313) % 199.88/201.00 [9538]E(f317(f317(f124(x95382),f656(x95384,x95383,x95381,x95385,x95382)),x95381),x95384)+~E(f317(f317(f124(x95382),x95385),x95381),f317(f317(f141(x95382),x95383),x95384))+E(x95381,f317(f317(f141(x95382),x95383),x95384)) % 199.88/201.00 [9539]~E(f317(f317(f124(x95391),x95395),x95394),f317(f317(f141(x95391),x95392),x95393))+E(f317(f317(f124(x95391),f657(x95394,x95395,x95393,x95392,x95391)),x95394),x95393)+E(f317(f317(f141(x95391),x95392),x95393),x95394) % 199.88/201.00 [9540]E(f317(f317(f124(x95401),x95405),f661(x95403,x95402,x95404,x95405,x95401)),x95402)+E(f317(f317(f124(x95401),x95402),f660(x95403,x95402,x95404,x95405,x95401)),x95405)+~E(f317(f317(f124(x95401),x95405),x95404),f317(f317(f124(x95401),x95402),x95403)) % 199.88/201.00 [9577]~P108(x95771)+P13(x95771,f317(f317(f144(x95772,x95771),x95773),f139(x95772,x95771,x95773,x95774,x95775)))+~P13(x95771,f317(f317(f144(x95772,x95771),x95773),x95775)) % 199.88/201.00 [9596]~P58(x95965,x95961,x95964,x95963)+P1(f317(f317(x95961,x95962),f483(x95963,x95964,x95961,x95965,x95962)))+~P1(f317(f317(f319(x95965),x95962),x95964)) % 199.88/201.00 [9597]~P58(x95975,x95971,x95974,x95973)+P1(f317(f317(x95971,x95972),f777(x95973,x95974,x95971,x95975,x95972)))+~P1(f317(f317(f319(x95975),x95972),x95974)) % 199.88/201.00 [9702]~P1(f317(f317(f319(f904(x97021,x97021)),f317(f317(f242(x97021,x97021),x97025),x97023)),f297(x97021,x97024)))+P1(f317(f317(f319(f904(x97021,x97021)),f317(f317(f242(x97021,x97021),x97022),x97023)),f317(f317(f279(x97021,x97021,x97021),x97024),f297(x97021,x97024))))+~P1(f317(f317(f319(f904(x97021,x97021)),f317(f317(f242(x97021,x97021),x97022),x97025)),f317(f317(f279(x97021,x97021,x97021),x97024),f297(x97021,x97024)))) % 199.88/201.00 [9703]~P1(f317(f317(f319(f904(x97031,x97031)),f317(f317(f242(x97031,x97031),x97032),x97035)),f297(x97031,x97034)))+P1(f317(f317(f319(f904(x97031,x97031)),f317(f317(f242(x97031,x97031),x97032),x97033)),f317(f317(f279(x97031,x97031,x97031),x97034),f297(x97031,x97034))))+~P1(f317(f317(f319(f904(x97031,x97031)),f317(f317(f242(x97031,x97031),x97035),x97033)),f317(f317(f279(x97031,x97031,x97031),x97034),f297(x97031,x97034)))) % 199.88/201.00 [9705]P1(f317(f317(f319(f904(f899(x97051),f899(x97051))),f317(f317(f242(f899(x97051),f899(x97051)),x97052),x97053)),f148(x97051,f297(x97051,x97054))))+~P1(f317(f317(f319(f904(f899(x97051),f899(x97051))),f317(f317(f242(f899(x97051),f899(x97051)),x97052),x97055)),f148(x97051,f297(x97051,x97054))))+~P1(f317(f317(f319(f904(f899(x97051),f899(x97051))),f317(f317(f242(f899(x97051),f899(x97051)),x97055),x97053)),f148(x97051,f297(x97051,x97054)))) % 199.88/201.00 [9709]E(f317(f317(f124(x97091),x97092),f660(x97093,x97092,x97094,x97095,x97091)),x97095)+E(f317(f317(f124(x97091),f661(x97093,x97092,x97094,x97095,x97091)),x97093),x97094)+~E(f317(f317(f124(x97091),x97092),x97093),f317(f317(f124(x97091),x97095),x97094)) % 199.88/201.00 [9710]E(f317(f317(f124(x97101),x97102),f661(x97103,x97104,x97105,x97102,x97101)),x97104)+E(f317(f317(f124(x97101),f660(x97103,x97104,x97105,x97102,x97101)),x97105),x97103)+~E(f317(f317(f124(x97101),x97102),x97105),f317(f317(f124(x97101),x97104),x97103)) % 199.88/201.00 [9764]P1(f317(f317(f319(f904(x97641,x97641)),f317(f317(f242(x97641,x97641),x97642),x97643)),f317(f317(f279(x97641,x97641,x97641),x97644),f297(x97641,x97644))))+~P1(f317(f317(f319(f904(x97641,x97641)),f317(f317(f242(x97641,x97641),x97642),x97645)),f317(f317(f279(x97641,x97641,x97641),x97644),f297(x97641,x97644))))+~P1(f317(f317(f319(f904(x97641,x97641)),f317(f317(f242(x97641,x97641),x97645),x97643)),f317(f317(f279(x97641,x97641,x97641),x97644),f297(x97641,x97644)))) % 199.88/201.00 [9791]P33(x97911,x97912,x97913,x97914,x97915)+~E(f317(f179(f899(x97911)),x97914),f317(f179(f899(x97912)),x97915))+~P1(f317(f317(f247(x97911,x97912,a894),x97913),f677(x97915,x97914,x97913,x97912,x97911))) % 199.88/201.00 [9792]P33(x97921,x97922,x97923,x97924,x97925)+~E(f317(f179(f899(x97921)),x97924),f317(f179(f899(x97922)),x97925))+~P1(f317(f317(f247(x97921,x97922,a894),x97923),f678(x97923,x97925,x97924,x97922,x97921))) % 199.88/201.00 [9797]E(f317(f317(f124(x97971),f660(x97972,x97973,x97974,x97975,x97971)),x97974),x97972)+~E(f317(f317(f124(x97971),x97973),x97972),f317(f317(f124(x97971),x97975),x97974))+E(f317(f317(f124(x97971),f661(x97972,x97973,x97974,x97975,x97971)),x97972),x97974) % 199.88/201.00 [9812]~P108(x98122)+E(f317(f317(f138(x98121,x98122,x98123),x98124),x98125),f317(f317(f141(x98121),x98124),x98125))+P1(f317(f317(f319(x98121),f722(x98124,x98123,x98125,x98121,x98122)),f317(f162(x98121),x98125))) % 199.88/201.00 [9816]~P58(x98161,x98164,x98163,x98162)+~P1(f317(f317(f319(x98161),x98165),x98163))+P1(f317(f317(f319(x98161),f483(x98162,x98163,x98164,x98161,x98165)),x98162)) % 199.88/201.00 [9817]~P58(x98171,x98174,x98173,x98172)+~P1(f317(f317(f319(x98171),x98175),x98173))+P1(f317(f317(f319(x98171),f777(x98172,x98173,x98174,x98171,x98175)),x98172)) % 199.88/201.00 [9931]~P1(f317(f317(f319(f904(f905(x99311,a894),f905(x99311,a894))),f317(f317(f242(f905(x99311,a894),f905(x99311,a894)),x99314),x99313)),f308(x99311,x99312)))+~P1(f317(f317(f319(x99311),x99315),x99314))+P1(f317(f317(f319(x99311),f571(x99312,x99313,x99314,x99311,x99315)),x99313)) % 199.88/201.00 [9941]~P108(x99412)+E(f317(f317(f138(x99411,x99412,x99413),x99414),x99415),f317(f317(f141(x99411),x99414),x99415))+~P1(f317(f317(f225(x99412),f317(x99413,x99414)),f317(x99413,f722(x99414,x99413,x99415,x99411,x99412)))) % 199.88/201.00 [9990]~P24(x99903,x99904,x99905,f232(f905(x99903,a894)))+P1(f317(x99901,x99902))+~P1(f317(x99901,f317(f85(x99903,x99904,f232(f905(x99903,a894)),x99905),f790(x99902,x99901,x99905,x99904,x99903)))) % 199.88/201.00 [10135]P33(x101351,x101352,x101353,x101354,x101355)+~E(f317(f179(f899(x101351)),x101354),f317(f179(f899(x101352)),x101355))+~P1(f317(f317(x101353,f317(f317(f154(x101351),x101354),f679(x101355,x101354,x101353,x101352,x101351))),f317(f317(f154(x101352),x101355),f679(x101355,x101354,x101353,x101352,x101351)))) % 199.88/201.00 [10136]P33(x101361,x101362,x101363,x101364,x101365)+~E(f317(f179(f899(x101361)),x101364),f317(f179(f899(x101362)),x101365))+~P1(f317(f317(x101363,f317(f317(f154(x101361),x101364),f714(x101363,x101365,x101362,x101364,x101361))),f317(f317(f154(x101362),x101365),f714(x101363,x101365,x101362,x101364,x101361)))) % 199.88/201.00 [6674]~P17(x66742,x66745,x66741)+~P1(f317(f28(x66742),x66744))+E(f317(x66741,f317(f317(f299(x66742),x66743),x66744)),f317(f317(f58(x66742,x66742,x66745),x66743),x66744)) % 199.88/201.00 [6675]~E(x66753,x66754)+~E(x66752,x66755)+E(f317(f317(f299(x66751),x66752),f317(f317(f299(x66751),x66753),f178(f905(x66751,a894)))),f317(f317(f299(x66751),x66754),f317(f317(f299(x66751),x66755),f178(f905(x66751,a894))))) % 199.88/201.00 [6686]P1(f317(x66862,x66865))+E(f167(x66861,x66862,f317(f317(f124(x66861),x66863),x66864)),f167(x66861,x66862,x66863))+~P1(f317(f317(f319(x66861),x66865),f317(f162(x66861),x66863))) % 199.88/201.00 [6724]E(f317(x67241,x67242),f178(f905(x67243,a894)))+~E(f317(f317(f34(x67244,f905(x67243,a894)),x67245),x67241),f178(f905(x67243,a894)))+~P1(f317(f317(f319(x67244),x67242),x67245)) % 199.88/201.00 [6725]E(f317(x67251,x67252),f232(f905(x67253,a894)))+~E(f317(f317(f35(x67254,f905(x67253,a894)),x67255),x67251),f232(f905(x67253,a894)))+~P1(f317(f317(f319(x67254),x67252),x67255)) % 199.88/201.00 [7242]~E(x72422,x72424)+~P146(x72421)+E(f317(f317(f74(x72421),f317(f317(f75(x72421),x72422),x72423)),f317(f317(f75(x72421),x72424),x72425)),f317(f317(f74(x72421),f317(f317(f75(x72421),x72422),x72425)),f317(f317(f75(x72421),x72424),x72423))) % 199.88/201.00 [7304]~P5(x73041)+~P1(f317(f317(f319(x73044),x73043),x73045))+P1(f317(f317(f225(x73041),f317(x73042,x73043)),f317(f317(f34(x73044,x73041),x73045),x73042))) % 199.88/201.00 [7355]~P107(x73551)+P1(f317(f317(f225(x73551),f317(x73552,x73553)),f317(x73554,x73553)))+~P1(f317(f317(f225(f905(x73555,x73551)),x73552),x73554)) % 199.88/201.00 [7478]E(x74781,x74782)+E(x74783,x74781)+~E(f317(f317(f299(x74784),x74781),f317(f317(f299(x74784),x74785),f178(f905(x74784,a894)))),f317(f317(f299(x74784),x74782),f317(f317(f299(x74784),x74783),f178(f905(x74784,a894))))) % 199.88/201.00 [7479]E(x74791,x74792)+E(x74793,x74791)+~E(f317(f317(f299(x74794),x74793),f317(f317(f299(x74794),x74792),f178(f905(x74794,a894)))),f317(f317(f299(x74794),x74795),f317(f317(f299(x74794),x74791),f178(f905(x74794,a894))))) % 199.88/201.00 [7480]E(x74801,x74802)+E(x74801,x74803)+~E(f317(f317(f299(x74804),x74803),f317(f317(f299(x74804),x74802),f178(f905(x74804,a894)))),f317(f317(f299(x74804),x74805),f317(f317(f299(x74804),x74801),f178(f905(x74804,a894))))) % 199.88/201.00 [7481]E(x74811,x74812)+E(x74811,x74813)+~E(f317(f317(f299(x74814),x74811),f317(f317(f299(x74814),x74815),f178(f905(x74814,a894)))),f317(f317(f299(x74814),x74812),f317(f317(f299(x74814),x74813),f178(f905(x74814,a894))))) % 199.88/201.00 [8011]P24(x80111,x80112,x80113,x80114)+~P24(x80111,x80112,x80113,x80115)+~P1(f317(f317(f225(f905(x80111,a894)),x80114),x80115)) % 199.88/201.00 [8041]~E(f317(x80413,x80415),x80414)+~P24(x80411,x80412,x80413,f232(f905(x80411,a894)))+E(f317(f85(x80411,x80412,f232(f905(x80411,a894)),x80413),x80414),x80415) % 199.88/201.00 [8187]E(x81871,x81872)+~E(f317(f300(x81873,x81874,x81875),x81871),f317(f300(x81873,x81874,x81875),x81872))+~P24(x81873,x81874,x81875,f317(f317(f91(f905(x81873,a894)),x81871),x81872)) % 199.88/201.00 [8264]P1(f317(x82642,x82644))+E(f317(f317(f128(x82641),f317(f179(f899(x82641)),f167(x82641,x82642,x82643))),x82643),f317(f317(f141(x82641),x82644),x82645))+~E(f317(f317(f124(x82641),f167(x82641,x82642,x82643)),f317(f317(f141(x82641),x82644),x82645)),x82643) % 199.88/201.00 [8292]~P24(x82921,x82922,x82923,x82925)+~P24(x82921,x82922,x82923,x82924)+P24(x82921,x82922,x82923,f317(f317(f92(f905(x82921,a894)),x82924),x82925)) % 199.88/201.00 [8400]~P77(x84001)+E(f317(f317(f74(x84001),f317(x84002,x84003)),f317(f155(x84001),f317(f317(f144(x84004,x84001),x84002),f160(x84004,x84003,x84005)))),f317(f155(x84001),f317(f317(f144(x84004,x84001),x84002),x84005)))+~P1(f317(f317(f319(x84004),x84003),f317(f162(x84004),x84005))) % 199.88/201.00 [8488]~P108(x84881)+~P13(x84881,f317(f317(f144(x84882,x84881),x84883),x84885))+P13(x84881,f317(f317(f144(x84882,x84881),x84883),f317(f317(f138(x84882,x84881,x84883),x84884),x84885))) % 199.88/201.00 [8573]~P5(x85731)+P1(f317(f317(f225(x85731),f317(f317(f34(x85732,x85731),x85733),x85734)),f317(f317(f34(x85732,x85731),x85735),x85734)))+~P1(f317(f317(f225(f905(x85732,a894)),x85733),x85735)) % 199.88/201.00 [8574]~P5(x85741)+P1(f317(f317(f225(x85741),f317(f317(f35(x85742,x85741),x85743),x85744)),f317(f317(f35(x85742,x85741),x85745),x85744)))+~P1(f317(f317(f225(f905(x85742,a894)),x85745),x85743)) % 199.88/201.00 [8607]~P108(x86073)+P1(f317(f127(x86071),x86072))+~P1(f317(f127(x86071),f317(f317(f138(x86071,x86073,x86074),x86075),x86072))) % 199.88/201.00 [8752]~P108(x87521)+~P1(f317(f317(f319(x87522),x87523),f317(f162(x87522),x87524)))+~P1(f317(f127(x87522),f317(f317(f138(x87522,x87521,x87525),x87523),x87524))) % 199.88/201.00 [8842]~P108(x88421)+P13(x88421,f317(f317(f144(x88422,x88421),x88423),x88424))+~P13(x88421,f317(f317(f144(x88422,x88421),x88423),f317(f317(f138(x88422,x88421,x88423),x88425),x88424))) % 199.88/201.00 [8888]~P24(x88882,x88881,x88884,x88883)+E(f317(f300(x88881,x88882,f85(x88882,x88881,x88883,x88884)),f317(f300(x88882,x88881,x88884),x88885)),x88885)+~P1(f317(f317(f225(f905(x88882,a894)),x88885),x88883)) % 199.88/201.00 [8941]~P108(x89412)+E(f317(f317(f138(x89411,x89412,x89413),x89414),x89415),f139(x89411,x89412,x89413,x89414,x89415))+P1(f317(f317(f319(x89412),f317(x89413,x89414)),f317(f300(x89411,x89412,x89413),f317(f162(x89411),x89415)))) % 199.88/201.00 [9022]~P108(x90222)+E(f139(x90221,x90222,x90223,x90224,x90225),x90225)+~P1(f317(f317(f319(x90222),f317(x90223,x90224)),f317(f300(x90221,x90222,x90223),f317(f162(x90221),x90225)))) % 199.88/201.00 [9036]~P24(x90362,x90361,x90363,x90365)+P1(f317(f317(f226(f905(x90361,a894)),f317(f300(x90362,x90361,x90363),x90364)),f317(f300(x90362,x90361,x90363),x90365)))+~P1(f317(f317(f226(f905(x90362,a894)),x90364),x90365)) % 199.88/201.00 [9195]~P24(x91951,x91952,x91953,f232(f905(x91951,a894)))+~P1(f317(f317(f225(f905(x91952,a894)),x91954),f317(f300(x91951,x91952,x91953),x91955)))+P1(f317(f317(f225(f905(x91951,a894)),f317(f301(x91951,x91952,x91953),x91954)),x91955)) % 199.88/201.00 [9218]~E(f317(f300(x92183,x92181,x92184),f232(f905(x92183,a894))),f232(f905(x92181,a894)))+P1(f317(f317(f225(f905(x92181,a894)),x92182),f317(f300(x92183,x92181,x92184),x92185)))+~P1(f317(f317(f225(f905(x92183,a894)),f317(f301(x92183,x92181,x92184),x92182)),x92185)) % 199.88/201.00 [9325]~P24(x93251,x93254,x93255,f232(f905(x93251,a894)))+~P1(f317(f317(f225(f905(x93254,a894)),f317(f300(x93251,x93254,x93255),x93252)),f317(f300(x93251,x93254,x93255),x93253)))+P1(f317(f317(f225(f905(x93251,a894)),x93252),x93253)) % 199.88/201.00 [9452]~P81(x94521)+~E(f317(x94523,f697(x94523,x94524,x94525,x94522,x94521)),f2(x94521))+E(f317(f155(x94521),f317(f317(f144(x94522,x94521),x94523),f317(f126(x94522,x94524),x94525))),f317(f155(x94521),f317(f317(f144(x94522,x94521),x94523),x94525))) % 199.88/201.00 [9479]~P25(x94791,x94792,x94793,f232(f905(x94791,a894)),f232(f905(x94792,a894)))+~P1(f317(f317(f225(f905(x94792,a894)),x94794),f317(f300(x94791,x94792,x94793),x94795)))+P1(f317(f317(f225(f905(x94791,a894)),f317(f301(x94791,x94792,x94793),x94794)),x94795)) % 199.88/201.00 [9508]~P25(x95083,x95081,x95084,f232(f905(x95083,a894)),f232(f905(x95081,a894)))+P1(f317(f317(f225(f905(x95081,a894)),x95082),f317(f300(x95083,x95081,x95084),x95085)))+~P1(f317(f317(f225(f905(x95083,a894)),f317(f301(x95083,x95081,x95084),x95082)),x95085)) % 199.88/201.00 [9643]~P16(x96431,x96432,x96433)+~P1(f317(f28(x96431),x96435))+P1(f317(f60(x96431,x96432,x96433,x96434,x96435),f317(f317(f58(x96431,x96432,x96433),x96434),x96435))) % 199.88/201.00 [9722]~P25(x97222,x97221,x97224,f232(f905(x97222,a894)),f232(f905(x97221,a894)))+~P25(x97221,x97223,x97225,f232(f905(x97221,a894)),f232(f905(x97223,a894)))+E(f317(f67(x97221,x97222,x97223,f85(x97222,x97221,f232(f905(x97222,a894)),x97224)),f85(x97221,x97223,f232(f905(x97221,a894)),x97225)),f85(x97222,x97223,f232(f905(x97222,a894)),f317(f67(x97221,x97223,x97222,x97225),x97224))) % 199.88/201.00 [9723]P1(f317(x97231,f616(x97232,x97231,x97233,x97234,x97235)))+~P1(f317(f317(f225(f905(x97235,a894)),x97234),x97233))+P1(f317(f317(f225(f905(x97235,a894)),f317(f317(f92(f905(x97235,a894)),x97234),f317(f252(x97235),x97231))),f317(f317(f92(f905(x97235,a894)),x97233),f317(f252(x97235),x97232)))) % 199.88/201.00 [9737]~P81(x97371)+~P1(f317(x97374,f697(x97373,x97374,x97375,x97372,x97371)))+E(f317(f155(x97371),f317(f317(f144(x97372,x97371),x97373),f317(f126(x97372,x97374),x97375))),f317(f155(x97371),f317(f317(f144(x97372,x97371),x97373),x97375))) % 199.88/201.00 [9814]~P5(x98145)+P1(f317(f317(f319(x98141),f467(x98142,x98143,x98141,x98144,x98145)),x98143))+P1(f317(f317(f225(x98145),x98144),f317(f317(f35(x98141,x98145),x98143),x98142))) % 199.88/201.00 [9818]~P81(x98181)+E(f317(f155(x98181),f317(f317(f144(x98182,x98181),x98183),f317(f126(x98182,x98184),x98185))),f317(f155(x98181),f317(f317(f144(x98182,x98181),x98183),x98185)))+P1(f317(f317(f319(x98182),f697(x98183,x98184,x98185,x98182,x98181)),f317(f162(x98182),x98185))) % 199.88/201.00 [9828]~P1(f317(x98285,f616(x98285,x98283,x98284,x98282,x98281)))+~P1(f317(f317(f225(f905(x98281,a894)),x98282),x98284))+P1(f317(f317(f225(f905(x98281,a894)),f317(f317(f92(f905(x98281,a894)),x98282),f317(f252(x98281),x98283))),f317(f317(f92(f905(x98281,a894)),x98284),f317(f252(x98281),x98285)))) % 199.88/201.00 [9844]~P24(x98445,x98443,x98444,f232(f905(x98445,a894)))+P1(f317(x98441,x98442))+P1(f317(f317(f319(x98443),f790(x98442,x98441,x98444,x98443,x98445)),f317(f300(x98445,x98443,x98444),f232(f905(x98445,a894))))) % 199.88/201.00 [9867]P33(x98671,x98672,x98673,x98674,x98675)+~E(f317(f179(f899(x98672)),x98675),f317(f179(f899(x98671)),x98674))+P1(f317(f317(f226(a898),f679(x98675,x98674,x98673,x98672,x98671)),f317(f179(f899(x98671)),x98674))) % 199.88/201.00 [9868]P33(x98681,x98682,x98683,x98684,x98685)+~E(f317(f179(f899(x98682)),x98685),f317(f179(f899(x98681)),x98684))+P1(f317(f317(f226(a898),f714(x98683,x98685,x98682,x98684,x98681)),f317(f179(f899(x98681)),x98684))) % 199.88/201.00 [9899]P1(f317(f317(f319(x98991),f616(x98992,x98993,x98994,x98995,x98991)),x98995))+~P1(f317(f317(f225(f905(x98991,a894)),x98995),x98994))+P1(f317(f317(f225(f905(x98991,a894)),f317(f317(f92(f905(x98991,a894)),x98995),f317(f252(x98991),x98993))),f317(f317(f92(f905(x98991,a894)),x98994),f317(f252(x98991),x98992)))) % 199.88/201.00 [9942]~P5(x99421)+~P1(f317(f317(f225(x99421),x99422),f317(x99425,f467(x99425,x99424,x99423,x99422,x99421))))+P1(f317(f317(f225(x99421),x99422),f317(f317(f35(x99423,x99421),x99424),x99425))) % 199.88/201.00 [9979]~P78(x99791)+~P1(f317(f28(x99792),x99795))+E(f317(f317(f317(f59(x99791,x99792,f75(x99791)),f317(f317(f18(x99792,x99791,x99791),f317(f317(f8(x99791,f905(x99791,x99791),x99792),f75(x99791)),x99793)),x99794)),f72(x99791)),x99795),f317(f317(f75(x99791),f317(f317(f317(f59(x99791,x99792,f75(x99791)),x99793),f72(x99791)),x99795)),f317(f317(f317(f59(x99791,x99792,f75(x99791)),x99794),f72(x99791)),x99795))) % 199.88/201.00 [10034]~P1(f317(f317(f319(f904(f905(x100341,a894),f905(x100341,a894))),f317(f317(f242(f905(x100341,a894),f905(x100341,a894)),x100345),x100344)),f308(x100341,x100343)))+~P1(f317(f317(f319(x100341),x100342),x100345))+P1(f317(f317(f319(f904(x100341,x100341)),f317(f317(f242(x100341,x100341),x100342),f571(x100343,x100344,x100345,x100341,x100342))),x100343)) % 199.88/201.00 [10173]~P1(f317(f317(f319(f904(f899(x101731),f899(x101731))),f317(f317(f242(f899(x101731),f899(x101731)),f317(f317(f124(x101731),x101735),x101732)),f317(f317(f124(x101731),x101735),x101733))),f137(x101731,x101734)))+P1(f317(f317(f319(f904(f899(x101731),f899(x101731))),f317(f317(f242(f899(x101731),f899(x101731)),x101732),x101733)),f137(x101731,x101734)))+P1(f317(f317(f319(f904(x101731,x101731)),f317(f317(f242(x101731,x101731),f666(x101734,x101733,x101732,x101735,x101731)),f666(x101734,x101733,x101732,x101735,x101731))),x101734)) % 199.88/201.00 [7358]~E(x73583,x73585)+E(f317(f317(f154(x73581),f317(f317(f149(x73581,x73582),x73583),x73584)),x73585),x73584)+~P1(f317(f317(f226(a898),x73583),f317(f179(f899(x73581)),x73582))) % 199.88/201.00 [7474]~E(f317(f317(f124(x74741),x74742),x74744),f317(f317(f124(x74741),x74743),x74745))+E(f317(f317(f165(x74741),f317(f179(f899(x74741)),x74742)),x74743),x74742)+P1(f317(f317(f225(a898),f317(f179(f899(x74741)),x74743)),f317(f179(f899(x74741)),x74742))) % 199.88/201.00 [7972]~E(f317(f317(f124(x79721),x79722),x79724),f317(f317(f124(x79721),x79723),x79725))+E(f317(f317(f165(x79721),f317(f179(f899(x79721)),x79722)),x79723),x79722)+~P1(f317(f317(f225(a898),f317(f179(f899(x79721)),x79722)),f317(f179(f899(x79721)),x79723))) % 199.88/201.00 [7996]~P1(f317(f28(x79961),f317(x79964,x79965)))+~P1(f317(f317(f319(x79962),x79965),x79963))+P1(f317(f28(x79961),f317(f317(f35(x79962,f905(x79961,a894)),x79963),x79964))) % 199.88/201.00 [8171]~P52(x81711,x81713,x81715)+~P52(x81711,x81712,x81714)+P52(x81711,f317(f317(f91(f905(x81711,a894)),x81712),x81713),f317(f317(f91(f905(f904(x81711,x81711),a894)),x81714),x81715)) % 199.88/201.00 [8172]~P52(x81721,x81723,x81725)+~P52(x81721,x81722,x81724)+P52(x81721,f317(f317(f92(f905(x81721,a894)),x81722),x81723),f317(f317(f92(f905(f904(x81721,x81721),a894)),x81724),x81725)) % 199.88/201.00 [8528]E(f317(f317(f242(x85281,x85282),f317(f317(f154(x85281),x85283),x85284)),f317(f317(f154(x85282),x85285),x85284)),f317(f317(f154(f904(x85281,x85282)),f317(f317(f171(x85281,x85282),x85283),x85285)),x85284))+~P1(f317(f317(f226(a898),x85284),f317(f179(f899(x85281)),x85283)))+~P1(f317(f317(f226(a898),x85284),f317(f179(f899(x85282)),x85285))) % 199.88/201.00 [8681]~P52(x86811,x86813,x86814)+P1(f317(f317(f319(x86811),x86812),x86813))+~P1(f317(f317(f319(f904(x86811,x86811)),f317(f317(f242(x86811,x86811),x86815),x86812)),x86814)) % 199.88/201.00 [8682]~P52(x86821,x86823,x86824)+P1(f317(f317(f319(x86821),x86822),x86823))+~P1(f317(f317(f319(f904(x86821,x86821)),f317(f317(f242(x86821,x86821),x86822),x86825)),x86824)) % 199.88/201.00 [8683]~P8(x86831,x86833,x86834)+P1(f317(f317(f319(x86831),x86832),x86833))+~P1(f317(f317(f319(f904(x86831,x86831)),f317(f317(f242(x86831,x86831),x86835),x86832)),x86834)) % 199.88/201.00 [8684]~P8(x86841,x86843,x86844)+P1(f317(f317(f319(x86841),x86842),x86843))+~P1(f317(f317(f319(f904(x86841,x86841)),f317(f317(f242(x86841,x86841),x86842),x86845)),x86844)) % 199.88/201.00 [8965]~P8(x89651,x89655,x89652)+E(f317(f275(x89651,x89651,x89652),f317(f317(f299(x89651),x89653),f178(f905(x89651,a894)))),f317(f275(x89651,x89651,x89652),f317(f317(f299(x89651),x89654),f178(f905(x89651,a894)))))+~P1(f317(f317(f319(f904(x89651,x89651)),f317(f317(f242(x89651,x89651),x89653),x89654)),x89652)) % 199.88/201.00 [9150]P1(f317(x91501,x91502))+~P1(f317(f317(f319(x91503),x91502),x91505))+P1(f317(f317(f319(x91503),f342(x91501,x91504,x91505,x91503)),f317(f317(f91(f905(x91503,a894)),x91505),x91504))) % 199.88/201.00 [9151]P1(f317(x91511,x91512))+~P1(f317(f317(f319(x91513),x91512),x91514))+P1(f317(f317(f319(x91513),f342(x91511,x91514,x91515,x91513)),f317(f317(f91(f905(x91513,a894)),x91515),x91514))) % 199.88/201.00 [9159]~P1(f317(x91592,x91595))+~P1(f317(f317(f319(x91591),x91595),x91594))+P1(f317(f317(f319(x91591),f324(x91592,x91593,x91594,x91591)),f317(f317(f91(f905(x91591,a894)),x91594),x91593))) % 199.88/201.00 [9160]~P1(f317(x91602,x91605))+~P1(f317(f317(f319(x91601),x91605),x91603))+P1(f317(f317(f319(x91601),f324(x91602,x91603,x91604,x91601)),f317(f317(f91(f905(x91601,a894)),x91604),x91603))) % 199.88/201.00 [9176]~P1(f317(f317(f225(f905(x91761,a894)),x91765),x91763))+~P1(f317(f317(f225(f905(x91761,a894)),x91762),x91764))+P1(f317(f317(f225(f905(x91761,a894)),f317(f317(f23(f905(x91761,a894)),x91762),x91763)),f317(f317(f23(f905(x91761,a894)),x91764),x91765))) % 199.88/201.00 [9177]~P1(f317(f317(f225(f905(x91771,a894)),x91773),x91775))+~P1(f317(f317(f225(f905(x91771,a894)),x91772),x91774))+P1(f317(f317(f225(f905(x91771,a894)),f317(f317(f91(f905(x91771,a894)),x91772),x91773)),f317(f317(f91(f905(x91771,a894)),x91774),x91775))) % 199.88/201.00 [9178]~P1(f317(f317(f225(f905(x91781,a894)),x91783),x91785))+~P1(f317(f317(f225(f905(x91781,a894)),x91782),x91784))+P1(f317(f317(f225(f905(x91781,a894)),f317(f317(f92(f905(x91781,a894)),x91782),x91783)),f317(f317(f92(f905(x91781,a894)),x91784),x91785))) % 199.88/201.00 [9272]P1(f317(f317(f319(f904(x92721,x92721)),f317(f317(f242(x92721,x92721),x92722),x92723)),f311(x92721,x92724,x92725)))+~P1(f317(f317(f225(a898),f317(x92724,x92722)),f317(x92724,x92723)))+~P1(f317(f317(f319(f904(x92721,x92721)),f317(f317(f242(x92721,x92721),x92722),x92723)),x92725)) % 199.88/201.00 [9462]P1(f317(f317(f319(f904(x94621,x94621)),f317(f317(f242(x94621,x94621),x94622),x94623)),f297(x94621,x94624)))+~P1(f317(f317(f319(f904(x94621,x94621)),f317(f317(f242(x94621,x94621),x94622),x94625)),f297(x94621,x94624)))+~P1(f317(f317(f319(f904(x94621,x94621)),f317(f317(f242(x94621,x94621),x94625),x94623)),x94624)) % 199.88/201.00 [9463]P1(f317(f317(f319(f904(x94631,x94631)),f317(f317(f242(x94631,x94631),x94632),x94633)),f297(x94631,x94634)))+~P1(f317(f317(f319(f904(x94631,x94631)),f317(f317(f242(x94631,x94631),x94635),x94633)),f297(x94631,x94634)))+~P1(f317(f317(f319(f904(x94631,x94631)),f317(f317(f242(x94631,x94631),x94632),x94635)),x94634)) % 199.88/201.00 [9564]E(x95641,x95642)+E(f317(a102,f592(x95643,x95644,x95641,x95642,x95645)),x95644)+~P1(f317(f317(f319(f904(x95645,x95645)),f317(f317(f242(x95645,x95645),x95642),x95641)),f317(f317(f173(f904(x95645,x95645),a894),x95644),x95643))) % 199.88/201.00 [9565]E(x95651,x95652)+E(f317(a102,f594(x95653,x95654,x95651,x95652,x95655)),x95654)+~P1(f317(f317(f319(f904(x95655,x95655)),f317(f317(f242(x95655,x95655),x95652),x95651)),f317(f317(f173(f904(x95655,x95655),a894),x95654),x95653))) % 199.88/201.00 [9566]E(x95661,f2(a898))+E(f317(a102,f592(x95662,x95661,x95663,x95664,x95665)),x95661)+~P1(f317(f317(f319(f904(x95665,x95665)),f317(f317(f242(x95665,x95665),x95664),x95663)),f317(f317(f173(f904(x95665,x95665),a894),x95661),x95662))) % 199.88/201.00 [9567]E(x95671,f2(a898))+E(f317(a102,f594(x95672,x95671,x95673,x95674,x95675)),x95671)+~P1(f317(f317(f319(f904(x95675,x95675)),f317(f317(f242(x95675,x95675),x95674),x95673)),f317(f317(f173(f904(x95675,x95675),a894),x95671),x95672))) % 199.88/201.00 [9592]P1(f317(f317(f319(f904(x95921,x95921)),f317(f317(f242(x95921,x95921),x95922),x95923)),f317(f317(f279(x95921,x95921,x95921),x95924),f297(x95921,x95924))))+~P1(f317(f317(f319(f904(x95921,x95921)),f317(f317(f242(x95921,x95921),x95922),x95925)),x95924))+~P1(f317(f317(f319(f904(x95921,x95921)),f317(f317(f242(x95921,x95921),x95925),x95923)),x95924)) % 199.88/201.00 [9602]~P1(f317(f317(f319(f904(x96021,x96021)),f317(f317(f242(x96021,x96021),x96022),x96025)),f297(x96021,x96024)))+P1(f317(f317(f319(f904(x96021,x96021)),f317(f317(f242(x96021,x96021),x96022),x96023)),f317(f317(f279(x96021,x96021,x96021),x96024),f297(x96021,x96024))))+~P1(f317(f317(f319(f904(x96021,x96021)),f317(f317(f242(x96021,x96021),x96025),x96023)),x96024)) % 199.88/201.00 [9637]~P8(x96371,x96375,x96372)+~P1(f317(f317(f319(f904(x96371,x96371)),f317(f317(f242(x96371,x96371),x96373),x96374)),x96372))+P1(f317(f317(f225(f905(x96371,a894)),f317(f275(x96371,x96371,x96372),f317(f317(f299(x96371),x96373),f178(f905(x96371,a894))))),f317(f275(x96371,x96371,x96372),f317(f317(f299(x96371),x96374),f178(f905(x96371,a894)))))) % 199.88/201.00 [9695]P1(f317(f317(f319(f904(x96951,x96951)),f317(f317(f242(x96951,x96951),x96952),x96953)),f317(f317(f279(x96951,x96951,x96951),x96954),f297(x96951,x96954))))+~P1(f317(f317(f319(f904(x96951,x96951)),f317(f317(f242(x96951,x96951),x96952),x96955)),f317(f317(f279(x96951,x96951,x96951),x96954),f297(x96951,x96954))))+~P1(f317(f317(f319(f904(x96951,x96951)),f317(f317(f242(x96951,x96951),x96955),x96953)),x96954)) % 199.88/201.00 [9696]P1(f317(f317(f319(f904(x96961,x96961)),f317(f317(f242(x96961,x96961),x96962),x96963)),f317(f317(f279(x96961,x96961,x96961),x96964),f297(x96961,x96964))))+~P1(f317(f317(f319(f904(x96961,x96961)),f317(f317(f242(x96961,x96961),x96965),x96963)),f317(f317(f279(x96961,x96961,x96961),x96964),f297(x96961,x96964))))+~P1(f317(f317(f319(f904(x96961,x96961)),f317(f317(f242(x96961,x96961),x96962),x96965)),x96964)) % 199.88/201.00 [9746]~P1(f317(f60(x97461,x97461,x97464,x97462,x97463),x97465))+P1(f317(f317(f319(x97461),x97462),x97463))+P1(f317(f56(x97461,x97464,f317(f317(f299(x97461),x97462),x97463)),x97465)) % 199.88/201.00 [9784]~E(f317(f300(x97843,x97842,x97845),x97844),x97841)+E(x97841,f178(f905(x97842,a894)))+P1(f317(f317(f225(f905(x97843,a894)),f317(f300(x97842,x97843,f531(x97844,x97843,x97842,x97841)),x97841)),x97844)) % 199.88/201.00 [9831]~P5(x98315)+P1(f317(f317(f319(x98311),f367(x98312,x98313,x98314,x98311,x98315)),x98314))+P1(f317(f317(f225(x98315),f317(f317(f34(x98311,x98315),x98314),x98313)),x98312)) % 199.88/201.00 [9886]P33(x98861,x98862,x98863,x98864,x98865)+~E(f317(f179(f899(x98861)),x98864),f317(f179(f899(x98862)),x98865))+P1(f317(f317(f319(f904(x98861,x98862)),f677(x98865,x98864,x98863,x98862,x98861)),f317(f162(f904(x98861,x98862)),f317(f317(f171(x98861,x98862),x98864),x98865)))) % 199.88/201.00 [9887]P33(x98871,x98872,x98873,x98874,x98875)+~E(f317(f179(f899(x98871)),x98874),f317(f179(f899(x98872)),x98875))+P1(f317(f317(f319(f904(x98871,x98872)),f678(x98873,x98875,x98874,x98872,x98871)),f317(f162(f904(x98871,x98872)),f317(f317(f171(x98871,x98872),x98874),x98875)))) % 199.88/201.00 [10013]E(x100131,x100132)+P1(f317(f317(f319(f904(x100133,x100133)),f317(f317(f242(x100133,x100133),x100131),f595(x100134,x100135,x100132,x100131,x100133))),x100134))+~P1(f317(f317(f319(f904(x100133,x100133)),f317(f317(f242(x100133,x100133),x100131),x100132)),f317(f317(f173(f904(x100133,x100133),a894),x100135),x100134))) % 199.88/201.00 [10014]E(x100141,f2(a898))+P1(f317(f317(f319(f904(x100142,x100142)),f317(f317(f242(x100142,x100142),x100143),f595(x100144,x100141,x100145,x100143,x100142))),x100144))+~P1(f317(f317(f319(f904(x100142,x100142)),f317(f317(f242(x100142,x100142),x100143),x100145)),f317(f317(f173(f904(x100142,x100142),a894),x100141),x100144))) % 199.88/201.00 [10053]~P5(x100531)+~P1(f317(f317(f225(x100531),f317(x100534,f367(x100535,x100534,x100533,x100532,x100531))),x100535))+P1(f317(f317(f225(x100531),f317(f317(f34(x100532,x100531),x100533),x100534)),x100535)) % 199.88/201.00 [10105]E(x101051,x101052)+P1(f317(f317(f319(f904(x101053,x101053)),f317(f317(f242(x101053,x101053),f593(x101054,x101055,x101051,x101052,x101053)),x101051)),x101054))+~P1(f317(f317(f319(f904(x101053,x101053)),f317(f317(f242(x101053,x101053),x101052),x101051)),f317(f317(f173(f904(x101053,x101053),a894),x101055),x101054))) % 199.88/201.00 [10106]E(x101061,f2(a898))+P1(f317(f317(f319(f904(x101062,x101062)),f317(f317(f242(x101062,x101062),f593(x101063,x101061,x101064,x101065,x101062)),x101064)),x101063))+~P1(f317(f317(f319(f904(x101062,x101062)),f317(f317(f242(x101062,x101062),x101065),x101064)),f317(f317(f173(f904(x101062,x101062),a894),x101061),x101063))) % 199.88/201.00 [10110]E(x101101,x101102)+P1(f317(f317(f319(f904(x101103,x101103)),f317(f317(f242(x101103,x101103),x101101),f593(x101104,x101105,x101102,x101101,x101103))),f317(f317(f173(f904(x101103,x101103),a894),f592(x101104,x101105,x101102,x101101,x101103)),x101104)))+~P1(f317(f317(f319(f904(x101103,x101103)),f317(f317(f242(x101103,x101103),x101101),x101102)),f317(f317(f173(f904(x101103,x101103),a894),x101105),x101104))) % 199.88/201.00 [10111]E(x101111,f2(a898))+P1(f317(f317(f319(f904(x101112,x101112)),f317(f317(f242(x101112,x101112),x101113),f593(x101114,x101111,x101115,x101113,x101112))),f317(f317(f173(f904(x101112,x101112),a894),f592(x101114,x101111,x101115,x101113,x101112)),x101114)))+~P1(f317(f317(f319(f904(x101112,x101112)),f317(f317(f242(x101112,x101112),x101113),x101115)),f317(f317(f173(f904(x101112,x101112),a894),x101111),x101114))) % 199.88/201.00 [10164]E(x101641,x101642)+P1(f317(f317(f319(f904(x101643,x101643)),f317(f317(f242(x101643,x101643),f595(x101644,x101645,x101641,x101642,x101643)),x101641)),f317(f317(f173(f904(x101643,x101643),a894),f594(x101644,x101645,x101641,x101642,x101643)),x101644)))+~P1(f317(f317(f319(f904(x101643,x101643)),f317(f317(f242(x101643,x101643),x101642),x101641)),f317(f317(f173(f904(x101643,x101643),a894),x101645),x101644))) % 199.88/201.00 [10165]E(x101651,f2(a898))+P1(f317(f317(f319(f904(x101652,x101652)),f317(f317(f242(x101652,x101652),f595(x101653,x101651,x101654,x101655,x101652)),x101654)),f317(f317(f173(f904(x101652,x101652),a894),f594(x101653,x101651,x101654,x101655,x101652)),x101653)))+~P1(f317(f317(f319(f904(x101652,x101652)),f317(f317(f242(x101652,x101652),x101655),x101654)),f317(f317(f173(f904(x101652,x101652),a894),x101651),x101653))) % 199.88/201.00 [10198]~P77(x101982)+~P1(f317(f28(x101981),x101985))+E(f317(f317(f6(x101981,x101982),f317(f317(f7(x101981,x101982,x101982),f317(f317(f18(x101981,x101982,f905(x101982,x101982)),f317(f317(f8(a894,f905(x101982,f905(x101982,x101982)),x101981),f86(x101982)),f317(f317(f7(x101981,f905(x101981,a894),a894),f319(x101981)),x101983))),x101984)),f2(x101982))),x101985),f317(f317(f6(x101981,x101982),x101984),f317(f317(f92(f905(x101981,a894)),x101985),x101983))) % 199.88/201.00 [8749]~P78(x87491)+~P1(f317(f28(x87494),x87495))+E(f317(f317(f75(x87491),f317(x87492,x87493)),f317(f317(f9(x87494,x87491),x87492),f317(f317(f23(f905(x87494,a894)),x87495),f317(f317(f299(x87494),x87493),f178(f905(x87494,a894)))))),f317(f317(f9(x87494,x87491),x87492),f317(f317(f299(x87494),x87493),x87495))) % 199.88/201.00 [8750]~P77(x87501)+~P1(f317(f28(x87504),x87505))+E(f317(f317(f74(x87501),f317(x87502,x87503)),f317(f317(f6(x87504,x87501),x87502),f317(f317(f23(f905(x87504,a894)),x87505),f317(f317(f299(x87504),x87503),f178(f905(x87504,a894)))))),f317(f317(f6(x87504,x87501),x87502),f317(f317(f299(x87504),x87503),x87505))) % 199.88/201.00 [9082]~P108(x90822)+~P13(x90822,f317(f158(x90822),f317(f317(f144(x90821,x90822),x90824),x90825)))+E(f317(f126(x90821,f317(f317(f8(x90822,a894,x90821),f317(f226(x90822),x90823)),x90824)),x90825),f167(x90821,f317(f317(f8(x90822,a894,x90821),f317(f226(x90822),x90823)),x90824),x90825)) % 199.88/201.00 [9106]~P77(x91061)+E(f317(f317(f74(x91061),f317(f317(f6(a898,x91061),x91062),f293(a898,x91063,x91064))),f317(f317(f6(a898,x91061),x91062),f293(a898,f317(f317(f74(a898),x91064),f72(a898)),f317(f317(f74(a898),x91064),x91065)))),f317(f317(f6(a898,x91061),x91062),f293(a898,x91063,f317(f317(f74(a898),x91064),x91065))))+~P1(f317(f317(f225(a898),x91063),f317(f317(f74(a898),x91064),f72(a898)))) % 199.88/201.00 [9107]~P1(f317(f317(f319(x91071),x91074),x91075))+~P1(f317(f317(f225(f905(x91071,a894)),f317(f162(x91071),x91072)),x91075))+P1(f317(f317(f225(f905(x91071,a894)),f317(f162(x91071),f317(f317(f149(x91071,x91072),x91073),x91074))),x91075)) % 199.88/201.00 [9334]~P5(x93342)+~P1(f317(f28(x93341),x93345))+E(f317(f317(f58(x93341,x93342,f317(f317(f8(x93342,f905(x93342,x93342),x93341),f91(x93342)),x93343)),x93344),x93345),f317(f317(f91(x93342),x93344),f317(f317(f34(x93341,x93342),x93345),x93343))) % 199.88/201.00 [9335]~P5(x93352)+~P1(f317(f28(x93351),x93355))+E(f317(f317(f58(x93351,x93352,f317(f317(f8(x93352,f905(x93352,x93352),x93351),f92(x93352)),x93353)),x93354),x93355),f317(f317(f92(x93352),x93354),f317(f317(f35(x93351,x93352),x93355),x93353))) % 199.88/201.00 [9387]E(f317(x93871,x93872),f317(x93871,x93873))+P1(f317(f317(f226(a898),f317(x93871,x93872)),f317(x93871,x93873)))+~P1(f317(f317(f319(f904(x93874,x93874)),f317(f317(f242(x93874,x93874),x93872),x93873)),f143(x93874,f317(f317(f141(f905(x93874,a898)),x93871),x93875)))) % 199.88/201.00 [9420]~E(f317(x94204,x94202),f317(x94204,x94203))+~P1(f317(f317(f319(f904(x94201,x94201)),f317(f317(f242(x94201,x94201),x94202),x94203)),f143(x94201,x94205)))+P1(f317(f317(f319(f904(x94201,x94201)),f317(f317(f242(x94201,x94201),x94202),x94203)),f143(x94201,f317(f317(f141(f905(x94201,a898)),x94204),x94205)))) % 199.88/201.00 [9440]~P24(x94401,x94402,x94403,x94405)+P24(x94401,x94402,x94403,f317(f317(f299(x94401),x94404),x94405))+P1(f317(f317(f319(x94402),f317(x94403,x94404)),f317(f300(x94401,x94402,x94403),f317(f317(f23(f905(x94401,a894)),x94405),f317(f317(f299(x94401),x94404),f178(f905(x94401,a894))))))) % 199.88/201.00 [9443]P1(f317(x94432,x94435))+~P1(f317(f317(f319(x94431),x94435),f317(f162(x94431),x94433)))+E(f317(f317(f128(x94431),f317(f179(f899(x94431)),f167(x94431,x94432,f317(f317(f124(x94431),x94433),x94434)))),f317(f317(f124(x94431),x94433),x94434)),f317(f317(f124(x94431),f317(f317(f128(x94431),f317(f179(f899(x94431)),f167(x94431,x94432,x94433))),x94433)),x94434)) % 199.88/201.00 [9448]~P1(f317(f317(f319(f904(x94481,x94481)),f317(f317(f242(x94481,x94481),x94482),x94483)),f143(x94481,x94485)))+~P1(f317(f317(f225(a898),f317(x94484,x94482)),f317(x94484,x94483)))+P1(f317(f317(f319(f904(x94481,x94481)),f317(f317(f242(x94481,x94481),x94482),x94483)),f143(x94481,f317(f317(f141(f905(x94481,a898)),x94484),x94485)))) % 199.88/201.00 [9515]P1(f317(f317(f319(f904(x95154,x95154)),f317(f317(f242(x95154,x95154),x95152),x95153)),f143(x95154,x95155)))+P1(f317(f317(f226(a898),f317(x95151,x95152)),f317(x95151,x95153)))+~P1(f317(f317(f319(f904(x95154,x95154)),f317(f317(f242(x95154,x95154),x95152),x95153)),f143(x95154,f317(f317(f141(f905(x95154,a898)),x95151),x95155)))) % 199.88/201.00 [9667]~P1(f317(f317(f319(f904(f899(x96671),f899(x96671))),f317(f317(f242(f899(x96671),f899(x96671)),x96672),x96674)),f148(x96671,x96675)))+~P1(f317(f317(f226(a898),x96673),f317(f179(f899(x96671)),x96672)))+P1(f317(f317(f319(f904(x96671,x96671)),f317(f317(f242(x96671,x96671),f317(f317(f154(x96671),x96672),x96673)),f317(f317(f154(x96671),x96674),x96673))),x96675)) % 199.88/201.00 [9909]E(x99091,f2(a1))+~P1(f317(f44(x99093,x99091),f317(f317(f242(a1,a1),x99094),x99095)))+P1(f317(f44(f317(f317(f75(a1),x99092),x99093),x99091),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),x99092),x99094)),f317(f317(f30(a1),f317(f317(f75(a1),x99092),x99095)),x99091))),f40(a1,f317(f317(f75(a1),x99092),x99095),x99091)))) % 199.88/201.00 [9910]~P1(f317(f317(f226(a898),f2(a898)),x99103))+~P1(f317(f43(x99102,x99103),f317(f317(f242(a898,a898),x99104),x99105)))+P1(f317(f43(f317(f317(f75(a898),x99101),x99102),x99103),f317(f317(f242(a898,a898),f317(f317(f74(a898),f317(f317(f75(a898),x99101),x99104)),f317(f317(f30(a898),f317(f317(f75(a898),x99101),x99105)),x99103))),f40(a898,f317(f317(f75(a898),x99101),x99105),x99103)))) % 199.88/201.00 [10221]~P77(x102212)+~P1(f317(f28(x102211),x102214))+E(f317(f317(f6(x102211,x102212),x102213),f317(f252(x102211),f317(f317(f18(x102211,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102211),a315),f317(f317(f7(x102211,f905(x102211,a894),a894),f319(x102211)),x102214))),f317(f317(f7(x102211,f905(x102211,a894),a894),f319(x102211)),x102215)))),f317(f317(f6(x102211,x102212),f317(f317(f7(x102211,x102212,x102212),f317(f317(f18(x102211,x102212,f905(x102212,x102212)),f317(f317(f8(a894,f905(x102212,f905(x102212,x102212)),x102211),f86(x102212)),f317(f317(f7(x102211,f905(x102211,a894),a894),f319(x102211)),x102215))),x102213)),f2(x102212))),x102214)) % 199.88/201.00 [8379]~E(f317(f317(f124(x83791),x83792),x83795),f317(f317(f124(x83791),x83793),x83794))+E(f317(f317(f124(x83791),f317(f317(f128(x83791),f317(f179(f899(x83791)),x83792)),x83793)),x83794),x83795)+P1(f317(f317(f225(a898),f317(f179(f899(x83791)),x83793)),f317(f179(f899(x83791)),x83792))) % 199.88/201.00 [8576]~E(f317(f317(f124(x85762),x85763),x85761),f317(f317(f124(x85762),x85764),x85765))+E(x85761,f317(f317(f124(x85762),f317(f317(f128(x85762),f317(f179(f899(x85762)),x85763)),x85764)),x85765))+~P1(f317(f317(f225(a898),f317(f179(f899(x85762)),x85763)),f317(f179(f899(x85762)),x85764))) % 199.88/201.00 [8664]~E(f317(f317(f74(a898),f317(f317(f75(a898),x86643),x86644)),x86641),f317(f317(f74(a898),f317(f317(f75(a898),x86642),x86644)),x86645))+~P1(f317(f317(f225(a898),x86643),x86642))+E(x86641,f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x86642),x86643)),x86644)),x86645)) % 199.88/201.00 [8665]~E(f317(f317(f74(a898),f317(f317(f75(a898),x86651),x86653)),x86654),f317(f317(f74(a898),f317(f317(f75(a898),x86652),x86653)),x86655))+~P1(f317(f317(f225(a898),x86652),x86651))+E(f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x86651),x86652)),x86653)),x86654),x86655) % 199.88/201.00 [8833]E(f317(f317(f74(a898),f317(f317(f75(a898),x88331),x88332)),x88333),f317(f317(f74(a898),f317(f317(f75(a898),x88334),x88332)),x88335))+~P1(f317(f317(f225(a898),x88334),x88331))+~E(x88335,f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x88331),x88334)),x88332)),x88333)) % 199.88/201.00 [8834]E(f317(f317(f74(a898),f317(f317(f75(a898),x88341),x88342)),x88343),f317(f317(f74(a898),f317(f317(f75(a898),x88344),x88342)),x88345))+~P1(f317(f317(f225(a898),x88344),x88341))+~E(f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x88341),x88344)),x88342)),x88343),x88345) % 199.88/201.00 [9720]~P61(x97202)+~P1(f317(f28(x97201),x97205))+E(f317(f317(f9(x97201,x97202),f317(f317(f18(x97201,x97202,x97202),f317(f317(f8(x97202,f905(x97202,x97202),x97201),f281(x97202)),x97203)),x97204)),x97205),f317(f317(f281(x97202),f317(f317(f9(x97201,x97202),x97203),x97205)),f317(f317(f9(x97201,x97202),x97204),x97205))) % 199.88/201.00 [9850]~E(f596(x98505,x98504,x98503,x98502,x98501),f597(x98505,x98504,x98503,x98502,x98501))+P1(f317(f317(f319(f904(x98501,x98501)),f317(f317(f242(x98501,x98501),x98502),x98503)),f297(x98501,x98504)))+~P1(f317(f317(f319(f904(x98501,x98501)),f317(f317(f242(x98501,x98501),x98502),x98503)),f297(x98501,f317(f317(f91(f905(f904(x98501,x98501),a894)),x98504),x98505)))) % 199.88/201.00 [9851]~E(f606(x98515,x98514,x98513,x98512,x98511),f598(x98515,x98514,x98513,x98512,x98511))+P1(f317(f317(f319(f904(x98511,x98511)),f317(f317(f242(x98511,x98511),x98512),x98513)),f297(x98511,x98514)))+~P1(f317(f317(f319(f904(x98511,x98511)),f317(f317(f242(x98511,x98511),x98512),x98513)),f297(x98511,f317(f317(f91(f905(f904(x98511,x98511),a894)),x98514),x98515)))) % 199.88/201.00 [10043]P1(f317(f317(f319(f904(x100431,x100431)),f317(f317(f242(x100431,x100431),x100432),f598(x100435,x100434,x100433,x100432,x100431))),f297(x100431,x100434)))+P1(f317(f317(f319(f904(x100431,x100431)),f317(f317(f242(x100431,x100431),x100432),x100433)),f297(x100431,x100434)))+~P1(f317(f317(f319(f904(x100431,x100431)),f317(f317(f242(x100431,x100431),x100432),x100433)),f297(x100431,f317(f317(f91(f905(f904(x100431,x100431),a894)),x100434),x100435)))) % 199.88/201.00 [10132]P1(f317(f317(f319(f904(x101321,x101321)),f317(f317(f242(x101321,x101321),f597(x101325,x101324,x101323,x101322,x101321)),x101323)),f297(x101321,x101324)))+P1(f317(f317(f319(f904(x101321,x101321)),f317(f317(f242(x101321,x101321),x101322),x101323)),f297(x101321,x101324)))+~P1(f317(f317(f319(f904(x101321,x101321)),f317(f317(f242(x101321,x101321),x101322),x101323)),f297(x101321,f317(f317(f91(f905(f904(x101321,x101321),a894)),x101324),x101325)))) % 199.88/201.00 [10171]P1(f317(f317(f319(f904(x101711,x101711)),f317(f317(f242(x101711,x101711),x101712),x101713)),f297(x101711,x101714)))+P1(f317(f317(f319(f904(x101711,x101711)),f317(f317(f242(x101711,x101711),f596(x101715,x101714,x101713,x101712,x101711)),f597(x101715,x101714,x101713,x101712,x101711))),x101715))+~P1(f317(f317(f319(f904(x101711,x101711)),f317(f317(f242(x101711,x101711),x101712),x101713)),f297(x101711,f317(f317(f91(f905(f904(x101711,x101711),a894)),x101714),x101715)))) % 199.88/201.00 [10172]P1(f317(f317(f319(f904(x101721,x101721)),f317(f317(f242(x101721,x101721),x101722),x101723)),f297(x101721,x101724)))+P1(f317(f317(f319(f904(x101721,x101721)),f317(f317(f242(x101721,x101721),f598(x101725,x101724,x101723,x101722,x101721)),f606(x101725,x101724,x101723,x101722,x101721))),x101725))+~P1(f317(f317(f319(f904(x101721,x101721)),f317(f317(f242(x101721,x101721),x101722),x101723)),f297(x101721,f317(f317(f91(f905(f904(x101721,x101721),a894)),x101724),x101725)))) % 199.88/201.00 [10319]~P1(f317(f317(f319(f904(f899(x103191),f899(x103191))),f317(f317(f242(f899(x103191),f899(x103191)),x103194),x103195)),f148(x103191,x103192)))+~P1(f317(f317(f319(f904(x103191,x103191)),x103193),f317(f162(f904(x103191,x103191)),f317(f317(f171(x103191,x103191),x103194),x103195))))+P1(f317(f317(f247(x103191,x103191,a894),f317(f317(f7(x103191,f905(f904(x103191,x103191),a894),f905(x103191,a894)),f317(f317(f8(f905(x103191,f905(f905(f904(x103191,x103191),a894),a894)),f905(f905(f904(x103191,x103191),a894),f905(x103191,a894)),x103191),f7(x103191,f905(f904(x103191,x103191),a894),a894)),f317(f317(f8(f905(x103191,f904(x103191,x103191)),f905(x103191,f905(f905(f904(x103191,x103191),a894),a894)),x103191),f317(f8(f904(x103191,x103191),f905(f905(f904(x103191,x103191),a894),a894),x103191),f319(f904(x103191,x103191)))),f242(x103191,x103191)))),x103192)),x103193)) % 199.88/201.00 [9750]~P1(f317(f317(f225(a898),x97503),x97502))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),f317(f317(f75(a898),x97503),x97504)),x97501)),f317(f317(f74(a898),f317(f317(f75(a898),x97502),x97504)),x97505)))+P1(f317(f317(f225(a898),x97501),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x97502),x97503)),x97504)),x97505))) % 199.88/201.00 [9751]~P1(f317(f317(f225(a898),x97513),x97512))+~P1(f317(f317(f226(a898),f317(f317(f74(a898),f317(f317(f75(a898),x97513),x97514)),x97511)),f317(f317(f74(a898),f317(f317(f75(a898),x97512),x97514)),x97515)))+P1(f317(f317(f226(a898),x97511),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x97512),x97513)),x97514)),x97515))) % 199.88/201.00 [9768]~P1(f317(f317(f225(a898),x97681),x97684))+P1(f317(f317(f225(a898),f317(f317(f74(a898),f317(f317(f75(a898),x97681),x97682)),x97683)),f317(f317(f74(a898),f317(f317(f75(a898),x97684),x97682)),x97685)))+~P1(f317(f317(f225(a898),x97683),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x97684),x97681)),x97682)),x97685))) % 199.88/201.00 [9769]~P1(f317(f317(f225(a898),x97691),x97694))+P1(f317(f317(f226(a898),f317(f317(f74(a898),f317(f317(f75(a898),x97691),x97692)),x97693)),f317(f317(f74(a898),f317(f317(f75(a898),x97694),x97692)),x97695)))+~P1(f317(f317(f226(a898),x97693),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x97694),x97691)),x97692)),x97695))) % 199.88/201.00 [9884]~P1(f317(f317(f225(a898),x98842),x98841))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),f317(f317(f75(a898),x98841),x98843)),x98844)),f317(f317(f74(a898),f317(f317(f75(a898),x98842),x98843)),x98845)))+P1(f317(f317(f225(a898),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x98841),x98842)),x98843)),x98844)),x98845)) % 199.88/201.00 [9885]~P1(f317(f317(f225(a898),x98852),x98851))+~P1(f317(f317(f226(a898),f317(f317(f74(a898),f317(f317(f75(a898),x98851),x98853)),x98854)),f317(f317(f74(a898),f317(f317(f75(a898),x98852),x98853)),x98855)))+P1(f317(f317(f226(a898),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x98851),x98852)),x98853)),x98854)),x98855)) % 199.88/201.00 [9928]~P1(f317(f317(f225(a898),x99284),x99281))+P1(f317(f317(f225(a898),f317(f317(f74(a898),f317(f317(f75(a898),x99281),x99282)),x99283)),f317(f317(f74(a898),f317(f317(f75(a898),x99284),x99282)),x99285)))+~P1(f317(f317(f225(a898),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x99281),x99284)),x99282)),x99283)),x99285)) % 199.88/201.00 [9929]~P1(f317(f317(f225(a898),x99294),x99291))+P1(f317(f317(f226(a898),f317(f317(f74(a898),f317(f317(f75(a898),x99291),x99292)),x99293)),f317(f317(f74(a898),f317(f317(f75(a898),x99294),x99292)),x99295)))+~P1(f317(f317(f226(a898),f317(f317(f74(a898),f317(f317(f75(a898),f317(f317(f23(a898),x99291),x99294)),x99292)),x99293)),x99295)) % 199.88/201.00 [10159]~P11(x101591,x101592,x101595,x101593)+~P1(f317(f317(f319(f904(x101591,x101591)),x101594),x101595))+P1(f317(f317(f247(x101591,x101591,a894),f317(f317(f7(x101591,f905(x101591,x101592),f905(x101591,a894)),f317(f317(f8(f905(x101592,a894),f905(f905(x101591,x101592),f905(x101591,a894)),x101591),f8(x101592,a894,x101591)),f317(f317(f8(x101592,f905(x101592,a894),x101591),a314),x101593))),x101593)),x101594)) % 199.88/201.00 [8540]~P19(x85406,x85401,x85402,x85404)+E(f317(f67(x85401,x85401,x85401,f317(x85402,x85403)),f317(x85404,x85405)),f317(f67(x85401,x85401,x85401,f317(x85404,x85405)),f317(x85402,x85403)))+~P1(f317(f28(x85406),x85405)) % 199.88/201.00 [8977]~P24(x89771,x89773,x89775,x89776)+~P24(x89773,x89772,x89774,f317(f300(x89771,x89773,x89775),x89776))+P24(x89771,x89772,f317(f67(x89773,x89772,x89771,x89774),x89775),x89776) % 199.88/201.00 [9547]~P1(f317(f317(x95474,x95472),x95476))+~P1(f317(f317(x95473,x95475),x95472))+P1(f317(f317(f319(x95471),x95472),f287(x95471,x95473,x95474,x95475,x95476))) % 199.88/201.00 [9548]~P1(f317(f317(x95483,x95482),x95486))+~P1(f317(f317(x95484,x95485),x95482))+P1(f317(f317(f319(x95481),x95482),f290(x95481,x95483,x95484,x95485,x95486))) % 199.88/201.00 [9668]E(x96681,x96682)+E(x96683,x96684)+~P1(f317(f317(f319(f904(f899(x96685),f899(x96685))),f317(f317(f242(f899(x96685),f899(x96685)),f317(f317(f141(x96685),x96683),x96681)),f317(f317(f141(x96685),x96684),x96682))),f147(x96685,x96686))) % 199.88/201.00 [9677]~E(x96772,x96774)+P1(f317(f317(f319(f904(f899(x96771),f899(x96771))),f317(f317(f242(f899(x96771),f899(x96771)),f317(f317(f141(x96771),x96772),x96773)),f317(f317(f141(x96771),x96774),x96775))),f135(x96771,x96776)))+~P1(f317(f317(f319(f904(f899(x96771),f899(x96771))),f317(f317(f242(f899(x96771),f899(x96771)),x96773),x96775)),f135(x96771,x96776))) % 199.88/201.00 [9678]~E(x96782,x96784)+P1(f317(f317(f319(f904(f899(x96781),f899(x96781))),f317(f317(f242(f899(x96781),f899(x96781)),f317(f317(f141(x96781),x96782),x96783)),f317(f317(f141(x96781),x96784),x96785))),f137(x96781,x96786)))+~P1(f317(f317(f319(f904(f899(x96781),f899(x96781))),f317(f317(f242(f899(x96781),f899(x96781)),x96783),x96785)),f137(x96781,x96786))) % 199.88/201.00 [9679]~E(x96792,x96794)+P1(f317(f317(f319(f904(f899(x96791),f899(x96791))),f317(f317(f242(f899(x96791),f899(x96791)),f317(f317(f141(x96791),x96792),x96793)),f317(f317(f141(x96791),x96794),x96795))),f147(x96791,x96796)))+~P1(f317(f317(f319(f904(f899(x96791),f899(x96791))),f317(f317(f242(f899(x96791),f899(x96791)),x96793),x96795)),f147(x96791,x96796))) % 199.88/201.00 [9680]~E(x96802,x96804)+P1(f317(f317(f319(f904(f899(x96801),f899(x96801))),f317(f317(f242(f899(x96801),f899(x96801)),f317(f317(f124(x96801),x96802),x96803)),f317(f317(f124(x96801),x96804),x96805))),f147(x96801,x96806)))+~P1(f317(f317(f319(f904(f899(x96801),f899(x96801))),f317(f317(f242(f899(x96801),f899(x96801)),x96803),x96805)),f147(x96801,x96806))) % 199.88/201.00 [9681]~E(x96813,x96815)+P1(f317(f317(f319(f904(f899(x96811),f899(x96811))),f317(f317(f242(f899(x96811),f899(x96811)),f317(f317(f124(x96811),x96812),x96813)),f317(f317(f124(x96811),x96814),x96815))),f147(x96811,x96816)))+~P1(f317(f317(f319(f904(f899(x96811),f899(x96811))),f317(f317(f242(f899(x96811),f899(x96811)),x96812),x96814)),f147(x96811,x96816))) % 199.88/201.00 [9738]E(x97381,x97382)+P1(f317(f317(f319(f904(f899(x97383),f899(x97383))),f317(f317(f242(f899(x97383),f899(x97383)),x97381),x97382)),f147(x97383,x97384)))+~P1(f317(f317(f319(f904(f899(x97383),f899(x97383))),f317(f317(f242(f899(x97383),f899(x97383)),f317(f317(f141(x97383),x97385),x97381)),f317(f317(f141(x97383),x97386),x97382))),f147(x97383,x97384))) % 199.88/201.00 [9888]~E(x98883,x98885)+P1(f317(f317(f319(f904(f899(x98881),f899(x98881))),f317(f317(f242(f899(x98881),f899(x98881)),f317(f317(f124(x98881),x98882),f317(f317(f141(x98881),x98883),f103(x98881)))),f317(f317(f124(x98881),x98884),f317(f317(f141(x98881),x98885),f103(x98881))))),f147(x98881,x98886)))+~P1(f317(f317(f319(f904(f899(x98881),f899(x98881))),f317(f317(f242(f899(x98881),f899(x98881)),x98882),x98884)),f147(x98881,x98886))) % 199.88/201.00 [9932]E(x99321,x99322)+E(x99323,x99324)+~P1(f317(f317(f319(f904(f899(x99325),f899(x99325))),f317(f317(f242(f899(x99325),f899(x99325)),f317(f317(f124(x99325),x99323),f317(f317(f141(x99325),x99321),f103(x99325)))),f317(f317(f124(x99325),x99324),f317(f317(f141(x99325),x99322),f103(x99325))))),f147(x99325,x99326))) % 199.88/201.00 [9958]E(x99581,x99582)+~P1(f317(f317(f319(f904(f899(x99583),f899(x99583))),f317(f317(f242(f899(x99583),f899(x99583)),f317(f317(f124(x99583),x99581),f317(f317(f141(x99583),x99585),f103(x99583)))),f317(f317(f124(x99583),x99582),f317(f317(f141(x99583),x99586),f103(x99583))))),f147(x99583,x99584)))+P1(f317(f317(f319(f904(f899(x99583),f899(x99583))),f317(f317(f242(f899(x99583),f899(x99583)),x99581),x99582)),f147(x99583,x99584))) % 199.88/201.00 [9996]~P1(f317(f317(f319(f904(f905(x99961,a894),f905(x99961,a894))),f317(f317(f242(f905(x99961,a894),f905(x99961,a894)),x99962),x99964)),f308(x99961,x99966)))+~P1(f317(f317(f319(f904(f905(x99961,a894),f905(x99961,a894))),f317(f317(f242(f905(x99961,a894),f905(x99961,a894)),x99963),x99965)),f308(x99961,x99966)))+P1(f317(f317(f319(f904(f905(x99961,a894),f905(x99961,a894))),f317(f317(f242(f905(x99961,a894),f905(x99961,a894)),f317(f317(f91(f905(x99961,a894)),x99962),x99963)),f317(f317(f91(f905(x99961,a894)),x99964),x99965))),f308(x99961,x99966))) % 199.88/201.00 [5732]~E(f317(f317(f124(x57321),x57326),x57323),x57325)+E(f317(f317(f124(x57321),x57322),x57323),f317(f317(f141(x57321),x57324),x57325))+~E(x57322,f317(f317(f141(x57321),x57324),x57326)) % 199.88/201.00 [5733]~E(f317(f317(f124(x57331),x57336),x57333),x57335)+E(f317(f317(f124(x57331),x57332),x57333),f317(f317(f124(x57331),x57334),x57335))+~E(x57332,f317(f317(f124(x57331),x57334),x57336)) % 199.88/201.00 [5735]E(f317(f317(f124(x57351),x57352),x57353),f317(f317(f141(x57351),x57354),x57355))+~E(f317(f317(f141(x57351),x57354),x57356),x57352)+~E(x57355,f317(f317(f124(x57351),x57356),x57353)) % 199.88/201.00 [5737]~E(f317(f317(f124(x57371),x57372),x57376),x57374)+E(f317(f317(f124(x57371),x57372),x57373),f317(f317(f124(x57371),x57374),x57375))+~E(x57373,f317(f317(f124(x57371),x57376),x57375)) % 199.88/201.00 [6915]E(f317(x69151,x69152),f317(x69153,x69152))+~E(f317(f317(f144(x69154,x69155),x69151),x69156),f317(f317(f144(x69154,x69155),x69153),x69156))+~P1(f317(f317(f319(x69154),x69152),f317(f162(x69154),x69156))) % 199.88/201.00 [7305]~P19(x73054,x73055,x73056,x73051)+E(f317(f317(x73051,x73052),x73053),f317(f317(f58(x73054,x73055,x73056),x73053),x73052))+~P1(f317(f28(x73054),x73052)) % 199.88/201.00 [7376]~E(x73762,f317(x73764,x73766))+~P1(f317(f317(f319(x73763),x73766),x73765))+P1(f317(f317(f319(x73761),x73762),f317(f300(x73763,x73761,x73764),x73765))) % 199.88/201.00 [7377]~E(f317(x73774,x73772),x73776)+~P1(f317(f317(f319(x73773),x73776),x73775))+P1(f317(f317(f319(x73771),x73772),f317(f301(x73771,x73773,x73774),x73775))) % 199.88/201.00 [7829]~P31(x78291,x78292,x78294,x78296)+P31(x78291,x78292,f317(f317(f141(x78291),x78293),x78294),f317(f317(f141(x78291),x78295),x78296))+~P1(f317(f317(x78292,x78293),x78295)) % 199.88/201.00 [8843]~P56(x88434,x88435,x88431,x88432,x88436)+E(f317(x88431,f317(x88432,x88433)),x88433)+~P1(f317(f317(f319(x88435),x88433),x88436)) % 199.88/201.00 [9344]~P25(x93442,x93441,x93445,x93444,x93443)+E(f317(f85(x93441,x93442,x93443,f85(x93442,x93441,x93444,x93445)),x93446),f317(x93445,x93446))+~P1(f317(f317(f319(x93442),x93446),x93444)) % 199.88/201.00 [9355]~P24(x93551,x93552,x93553,x93556)+P24(x93551,x93552,f69(x93551,x93552,x93553,x93554,x93555),x93556)+P1(f317(f317(f319(x93552),x93555),f317(f300(x93551,x93552,x93553),x93556))) % 199.88/201.00 [9670]E(x96701,x96702)+E(f317(f179(f899(x96703)),x96704),f317(f179(f899(x96703)),x96705))+~P1(f317(f317(f319(f904(f899(x96703),f899(x96703))),f317(f317(f242(f899(x96703),f899(x96703)),f317(f317(f141(x96703),x96701),x96704)),f317(f317(f141(x96703),x96702),x96705))),f135(x96703,x96706))) % 199.88/201.00 [9733]~P16(x97331,x97332,x97333)+E(f317(f317(f58(x97331,x97332,x97333),x97334),x97335),x97336)+~P1(f317(f60(x97331,x97332,x97333,x97334,x97335),x97336)) % 199.88/201.00 [9741]E(f317(f179(f899(x97411)),x97412),f317(f179(f899(x97411)),x97413))+P1(f317(f317(f319(f904(f899(x97411),f899(x97411))),f317(f317(f242(f899(x97411),f899(x97411)),x97412),x97413)),f135(x97411,x97414)))+~P1(f317(f317(f319(f904(f899(x97411),f899(x97411))),f317(f317(f242(f899(x97411),f899(x97411)),f317(f317(f141(x97411),x97415),x97412)),f317(f317(f141(x97411),x97416),x97413))),f135(x97411,x97414))) % 199.88/201.00 [9762]~P1(f317(f317(f319(f904(x97621,x97621)),f317(f317(f242(x97621,x97621),x97622),x97624)),f297(x97621,x97626)))+P1(f317(f317(f319(f904(f899(x97621),f899(x97621))),f317(f317(f242(f899(x97621),f899(x97621)),f317(f317(f141(x97621),x97622),x97623)),f317(f317(f141(x97621),x97624),x97625))),f297(f899(x97621),f147(x97621,x97626))))+~P1(f317(f317(f319(f904(f899(x97621),f899(x97621))),f317(f317(f242(f899(x97621),f899(x97621)),x97623),x97625)),f297(f899(x97621),f147(x97621,x97626)))) % 199.88/201.00 [9938]~P1(f317(x99382,x99386))+~E(f317(f126(x99381,x99382),x99383),f317(f317(f141(x99381),x99384),x99385))+~P1(f317(f317(f319(x99381),x99386),f317(f162(x99381),f723(x99385,x99384,x99383,x99382,x99381)))) % 199.88/201.00 [9939]~P1(f317(x99394,x99396))+~E(f317(f317(f141(x99391),x99392),x99393),f317(f126(x99391,x99394),x99395))+~P1(f317(f317(f319(x99391),x99396),f317(f162(x99391),f721(x99395,x99394,x99393,x99392,x99391)))) % 199.88/201.00 [10256]~P77(x102562)+E(f317(f317(f6(x102561,x102562),f317(f317(f8(f905(x102563,a894),x102562,x102561),f317(f6(x102563,x102562),x102564)),f317(f317(f8(f905(x102563,a894),f905(x102563,a894),x102561),f252(x102563)),f317(f317(f8(f905(x102563,a894),f905(x102563,a894),x102561),f317(f18(x102563,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102563),a315),f317(f317(f7(x102563,f905(x102563,a894),a894),f319(x102563)),x102565)))),f317(f7(x102563,x102561,a894),f317(f317(f8(x102561,f905(x102561,a894),x102563),a314),x102566)))))),f317(f300(x102563,x102561,x102566),x102565)),f317(f317(f6(x102563,x102562),x102564),x102565))+~P1(f317(f28(x102563),x102565)) % 199.88/201.00 [6973]~P108(x69733)+P1(f317(x69732,x69735))+E(f317(f126(x69731,x69732),f317(f317(f138(x69731,x69733,x69734),x69735),x69736)),f317(f126(x69731,x69732),x69736)) % 199.88/201.00 [6975]P1(f317(x69751,x69752))+~E(f156(x69753,x69751,x69754),f317(f317(f242(f899(x69753),f899(x69753)),x69755),x69756))+~P1(f317(f317(f319(x69753),x69752),f317(f162(x69753),x69755))) % 199.88/201.00 [7023]~P1(f317(x70232,x70236))+~E(f156(x70231,x70232,x70233),f317(f317(f242(f899(x70231),f899(x70231)),x70234),x70235))+~P1(f317(f317(f319(x70231),x70236),f317(f162(x70231),x70235))) % 199.88/201.00 [7691]~P14(x76911,x76912,x76913)+~P1(f317(f28(x76911),x76916))+E(f317(f317(f58(x76911,x76912,x76913),x76914),f317(f317(f299(x76911),x76915),x76916)),f317(f317(f58(x76911,x76912,x76913),f317(f317(x76913,x76915),x76914)),x76916)) % 199.88/201.00 [7744]~P108(x77442)+~P1(f317(f317(f225(x77442),f317(x77443,x77444)),f317(x77443,x77445)))+E(f317(f317(f138(x77441,x77442,x77443),x77444),f317(f317(f141(x77441),x77445),x77446)),f317(f317(f141(x77441),x77444),f317(f317(f141(x77441),x77445),x77446))) % 199.88/201.00 [7857]E(x78571,x78572)+~E(f317(f317(f244(x78573,x78574),x78571),f317(f16(f905(x78574,a894),x78573),x78575)),f317(f317(f244(x78573,x78574),x78572),f317(f16(f905(x78574,a894),x78573),x78575)))+~P1(f317(f317(f319(x78574),x78576),x78575)) % 199.88/201.00 [7924]~P14(x79241,x79242,x79243)+~P1(f317(f28(x79241),x79246))+E(f317(f317(f58(x79241,x79242,x79243),x79244),f317(f317(f299(x79241),x79245),x79246)),f317(f317(x79243,x79245),f317(f317(f58(x79241,x79242,x79243),x79244),x79246))) % 199.88/201.00 [8042]~P16(x80421,x80422,x80423)+~P1(f317(f28(x80421),x80426))+E(f317(f317(f58(x80421,x80422,x80423),f317(f317(x80423,x80424),x80425)),x80426),f317(f317(x80423,x80424),f317(f317(f58(x80421,x80422,x80423),x80425),x80426))) % 199.88/201.00 [8110]~P20(x81102,x81105,x81106,x81101)+~P1(f317(f28(x81102),x81104))+E(f317(x81101,f317(f317(f299(x81102),x81103),x81104)),f317(f67(x81105,x81105,x81105,f317(x81101,x81104)),f317(x81106,x81103))) % 199.88/201.00 [8142]~P108(x81422)+P1(f317(f317(f225(x81422),f317(x81423,x81424)),f317(x81423,x81425)))+E(f317(f317(f138(x81421,x81422,x81423),x81424),f317(f317(f141(x81421),x81425),x81426)),f317(f317(f141(x81421),x81425),f317(f317(f138(x81421,x81422,x81423),x81424),x81426))) % 199.88/201.00 [8285]~E(f317(f179(f899(x82851)),x82855),f317(f179(f899(x82852)),x82856))+~E(f317(f179(f899(x82851)),x82853),f317(f179(f899(x82852)),x82854))+E(f317(f317(f124(f904(x82851,x82852)),f317(f317(f171(x82851,x82852),x82853),x82854)),f317(f317(f171(x82851,x82852),x82855),x82856)),f317(f317(f171(x82851,x82852),f317(f317(f124(x82851),x82853),x82855)),f317(f317(f124(x82852),x82854),x82856))) % 199.88/201.00 [8397]~E(x83972,f317(f300(x83973,x83971,x83974),x83976))+P1(f317(f317(f225(f905(x83971,a894)),x83972),f317(f300(x83973,x83971,x83974),x83975)))+~P1(f317(f317(f225(f905(x83973,a894)),x83976),x83975)) % 199.88/201.00 [8499]~P108(x84995)+E(f317(x84991,x84992),f317(x84991,x84993))+E(f317(f317(f138(x84994,x84995,x84991),x84992),f317(f317(f138(x84994,x84995,x84991),x84993),x84996)),f317(f317(f138(x84994,x84995,x84991),x84993),f317(f317(f138(x84994,x84995,x84991),x84992),x84996))) % 199.88/201.00 [8673]~P1(f317(f317(f319(x86732),x86734),f317(x86736,x86733)))+~P1(f317(f317(f319(x86731),x86733),x86735))+P1(f317(f317(f319(f904(x86731,x86732)),f317(f317(f242(x86731,x86732),x86733),x86734)),f317(f317(f244(x86731,x86732),x86735),x86736))) % 199.88/201.00 [9148]~P78(x91482)+~P24(x91484,x91481,x91485,x91486)+E(f317(f317(f9(x91481,x91482),x91483),f317(f300(x91484,x91481,x91485),x91486)),f317(f317(f9(x91484,x91482),f317(f67(x91481,x91482,x91484,x91483),x91485)),x91486)) % 199.88/201.00 [9149]~P77(x91492)+~P24(x91494,x91491,x91495,x91496)+E(f317(f317(f6(x91491,x91492),x91493),f317(f300(x91494,x91491,x91495),x91496)),f317(f317(f6(x91494,x91492),f317(f67(x91491,x91492,x91494,x91493),x91495)),x91496)) % 199.88/201.00 [9197]~P33(x91972,x91975,x91971,x91973,x91976)+P1(f317(f317(x91971,f317(f317(f154(x91972),x91973),x91974)),f317(f317(f154(x91975),x91976),x91974)))+~P1(f317(f317(f226(a898),x91974),f317(f179(f899(x91975)),x91976))) % 199.88/201.00 [9198]~P33(x91982,x91985,x91981,x91983,x91986)+P1(f317(f317(x91981,f317(f317(f154(x91982),x91983),x91984)),f317(f317(f154(x91985),x91986),x91984)))+~P1(f317(f317(f226(a898),x91984),f317(f179(f899(x91982)),x91983))) % 199.88/201.00 [9209]~E(f317(f300(x92091,x92092,x92093),x92094),x92096)+E(f317(f300(x92091,x92092,x92093),f317(f300(x92092,x92091,f85(x92091,x92092,x92094,x92093)),x92095)),x92095)+~P1(f317(f317(f225(f905(x92092,a894)),x92095),x92096)) % 199.88/201.00 [9415]~P19(x94153,x94151,x94156,x94152)+~P1(f317(f28(x94153),x94154))+E(f317(f67(x94151,x94151,x94151,f317(x94152,f317(f317(f23(f905(x94153,a894)),x94154),f317(f317(f299(x94153),x94155),f178(f905(x94153,a894)))))),f317(x94156,x94155)),f317(x94152,f317(f317(f299(x94153),x94155),x94154))) % 199.88/201.00 [10025]~E(f317(f300(x100252,x100254,x100256),f232(f905(x100252,a894))),f232(f905(x100254,a894)))+~E(f317(f300(x100251,x100253,x100255),f232(f905(x100251,a894))),f232(f905(x100253,a894)))+E(f317(f300(f904(x100251,x100252),f904(x100253,x100254),f248(x100251,x100253,x100252,x100254,x100255,x100256)),f232(f905(f904(x100251,x100252),a894))),f232(f905(f904(x100253,x100254),a894))) % 199.88/201.00 [10082]~P24(x100823,x100824,x100825,f317(x100826,f516(x100826,x100825,x100824,x100823,x100822,x100821)))+P24(x100823,x100824,x100825,f317(f317(f35(x100822,f905(x100823,a894)),x100821),x100826))+E(x100821,f178(f905(x100822,a894))) % 199.88/201.00 [10139]P24(x101396,x101395,x101394,f317(f317(f35(x101392,f905(x101396,a894)),x101391),x101393))+E(x101391,f178(f905(x101392,a894)))+P1(f317(f317(f319(x101392),f516(x101393,x101394,x101395,x101396,x101392,x101391)),x101391)) % 199.88/201.00 [10144]P1(f317(f317(f319(x101441),f566(x101442,x101443,x101444,x101445,x101446,x101441)),x101446))+P1(f317(f317(f225(f905(f904(x101441,x101444),a894)),f317(f317(f244(x101441,x101444),x101446),x101443)),f317(f317(f244(x101441,x101444),x101445),x101442)))+~P1(f317(f317(f225(f905(x101441,a894)),x101446),x101445)) % 199.88/201.00 [10274]~P1(f317(f317(f225(f905(x102742,a894)),f317(x102744,f566(x102746,x102744,x102742,x102745,x102743,x102741))),f317(x102746,f566(x102746,x102744,x102742,x102745,x102743,x102741))))+~P1(f317(f317(f225(f905(x102741,a894)),x102743),x102745))+P1(f317(f317(f225(f905(f904(x102741,x102742),a894)),f317(f317(f244(x102741,x102742),x102743),x102744)),f317(f317(f244(x102741,x102742),x102745),x102746))) % 199.88/201.00 [7880]~P1(f317(x78801,x78805))+~P1(f317(x78806,x78804))+P1(f317(x78801,f317(f246(x78802,x78803),f317(f317(f242(x78802,x78803),x78804),x78805)))) % 199.88/201.00 [7881]~P1(f317(x78811,x78814))+~P1(f317(x78816,x78815))+P1(f317(x78811,f317(f241(x78812,x78813),f317(f317(f242(x78812,x78813),x78814),x78815)))) % 199.88/201.00 [7929]~P1(f317(f317(x79294,x79296),x79295))+~P1(f317(f317(f319(x79291),x79296),x79293))+P1(f317(f317(f317(f34(x79291,f905(x79292,a894)),x79293),x79294),x79295)) % 199.88/201.00 [8235]~P1(f317(f317(f319(x82351),x82352),f317(x82355,x82356)))+~P1(f317(f317(f319(x82353),x82356),x82354))+P1(f317(f317(f319(x82351),x82352),f317(f317(f34(x82353,f905(x82351,a894)),x82354),x82355))) % 199.88/201.00 [8279]P1(f317(f317(x82791,x82792),x82793))+~P1(f317(f317(x82794,x82792),x82793))+~P1(f317(f317(f225(f905(x82795,f905(x82796,a894))),x82794),x82791)) % 199.88/201.00 [8420]P1(f317(f317(x84201,x84202),x84203))+~P1(f317(f317(f319(x84204),x84202),x84205))+~P1(f317(f317(f317(f35(x84204,f905(x84206,a894)),x84205),x84201),x84203)) % 199.88/201.00 [8555]P1(f317(f317(f319(x85551),x85552),f317(x85553,x85554)))+~P1(f317(f317(f319(x85555),x85554),x85556))+~P1(f317(f317(f319(x85551),x85552),f317(f317(f35(x85555,f905(x85551,a894)),x85556),x85553))) % 199.88/201.00 [8822]~P11(x88224,x88225,x88226,x88221)+E(f317(x88221,x88222),f317(x88221,x88223))+~P1(f317(f317(f319(f904(x88224,x88224)),f317(f317(f242(x88224,x88224),x88222),x88223)),x88226)) % 199.88/201.00 [8857]P1(f317(f317(f225(f905(x88571,a894)),x88572),f317(x88573,x88574)))+~P1(f317(f317(f319(x88575),x88574),x88576))+~P1(f317(f317(f225(f905(x88571,a894)),x88572),f317(f317(f35(x88575,f905(x88571,a894)),x88576),x88573))) % 199.88/201.00 [8890]~P54(x88903,x88904,f317(f276(x88904,x88903),x88905))+E(x88901,f178(f905(x88902,a894)))+E(f317(f317(f35(x88902,f905(x88903,a894)),x88901),f317(f317(f8(f905(x88904,a894),f905(x88903,a894),x88902),f275(x88904,x88903,x88905)),x88906)),f317(f275(x88904,x88903,x88905),f317(f317(f35(x88902,f905(x88904,a894)),x88901),x88906))) % 199.88/201.00 [8968]P1(f317(f317(f319(x89681),x89682),f317(f275(x89683,x89681,x89684),x89685)))+~P1(f317(f317(f319(x89683),x89686),x89685))+~P1(f317(f317(f319(f904(x89683,x89681)),f317(f317(f242(x89683,x89681),x89686),x89682)),x89684)) % 199.88/201.00 [9274]P1(f317(f317(f225(f905(x92741,a894)),f317(f275(x92742,x92741,x92743),x92744)),f317(f275(x92742,x92741,x92745),x92746)))+~P1(f317(f317(f225(f905(x92742,a894)),x92744),x92746))+~P1(f317(f317(f225(f905(f904(x92742,x92741),a894)),x92743),x92745)) % 199.88/201.00 [9464]~P1(f317(f317(f319(x94642),x94646),x94644))+~P1(f317(f317(f225(f905(x94641,a894)),x94643),x94645))+P1(f317(f317(f225(f905(f904(x94641,x94642),a894)),f317(f317(f244(x94641,x94642),x94643),f317(f16(f905(x94642,a894),x94641),x94644))),f317(f317(f244(x94641,x94642),x94645),f317(f16(f905(x94642,a894),x94641),x94644)))) % 199.88/201.00 [9476]~P33(x94761,x94762,x94763,x94765,x94766)+P1(f317(f317(f247(x94761,x94762,a894),x94763),x94764))+~P1(f317(f317(f319(f904(x94761,x94762)),x94764),f317(f162(f904(x94761,x94762)),f317(f317(f171(x94761,x94762),x94765),x94766)))) % 199.88/201.00 [9624]~E(x96243,x96245)+P1(f317(f317(f319(f904(f899(x96241),f899(x96241))),f317(f317(f242(f899(x96241),f899(x96241)),f317(f317(f141(x96241),x96242),x96243)),f317(f317(f141(x96241),x96244),x96245))),f147(x96241,x96246)))+~P1(f317(f317(f319(f904(x96241,x96241)),f317(f317(f242(x96241,x96241),x96242),x96244)),x96246)) % 199.88/201.00 [9630]~E(f317(f179(f899(x96301)),x96303),f317(f179(f899(x96301)),x96305))+P1(f317(f317(f319(f904(f899(x96301),f899(x96301))),f317(f317(f242(f899(x96301),f899(x96301)),f317(f317(f141(x96301),x96302),x96303)),f317(f317(f141(x96301),x96304),x96305))),f135(x96301,x96306)))+~P1(f317(f317(f319(f904(x96301,x96301)),f317(f317(f242(x96301,x96301),x96302),x96304)),x96306)) % 199.88/201.00 [9662]P1(f317(f317(f319(f904(x96621,x96621)),f317(f317(f242(x96621,x96621),x96622),x96623)),f317(f317(f173(f904(x96621,x96621),a894),f317(a102,x96624)),x96625)))+~P1(f317(f317(f319(f904(x96621,x96621)),f317(f317(f242(x96621,x96621),x96626),x96623)),x96625))+~P1(f317(f317(f319(f904(x96621,x96621)),f317(f317(f242(x96621,x96621),x96622),x96626)),f317(f317(f173(f904(x96621,x96621),a894),x96624),x96625))) % 199.88/201.00 [9663]P1(f317(f317(f319(f904(x96631,x96631)),f317(f317(f242(x96631,x96631),x96632),x96633)),f317(f317(f173(f904(x96631,x96631),a894),f317(a102,x96634)),x96635)))+~P1(f317(f317(f319(f904(x96631,x96631)),f317(f317(f242(x96631,x96631),x96632),x96636)),x96635))+~P1(f317(f317(f319(f904(x96631,x96631)),f317(f317(f242(x96631,x96631),x96636),x96633)),f317(f317(f173(f904(x96631,x96631),a894),x96634),x96635))) % 199.88/201.00 [9666]~P1(f317(f317(f319(x96664),x96665),x96666))+P1(f317(f317(f225(f905(x96661,a894)),x96662),x96663))+~P1(f317(f317(f225(f905(f904(x96661,x96664),a894)),f317(f317(f244(x96661,x96664),x96662),f317(f16(f905(x96664,a894),x96661),x96666))),f317(f317(f244(x96661,x96664),x96663),f317(f16(f905(x96664,a894),x96661),x96666)))) % 199.88/201.00 [9711]E(x97111,x97112)+~P1(f317(f317(f319(f904(f899(x97113),f899(x97113))),f317(f317(f242(f899(x97113),f899(x97113)),f317(f317(f141(x97113),x97111),x97115)),f317(f317(f141(x97113),x97112),x97116))),f135(x97113,x97114)))+P1(f317(f317(f319(f904(x97113,x97113)),f317(f317(f242(x97113,x97113),x97111),x97112)),x97114)) % 199.88/201.00 [9712]E(x97121,x97122)+~P1(f317(f317(f319(f904(f899(x97123),f899(x97123))),f317(f317(f242(f899(x97123),f899(x97123)),f317(f317(f141(x97123),x97121),x97125)),f317(f317(f141(x97123),x97122),x97126))),f137(x97123,x97124)))+P1(f317(f317(f319(f904(x97123,x97123)),f317(f317(f242(x97123,x97123),x97121),x97122)),x97124)) % 199.88/201.00 [9713]E(x97131,x97132)+~P1(f317(f317(f319(f904(f899(x97133),f899(x97133))),f317(f317(f242(f899(x97133),f899(x97133)),f317(f317(f141(x97133),x97131),x97135)),f317(f317(f141(x97133),x97132),x97136))),f147(x97133,x97134)))+P1(f317(f317(f319(f904(x97133,x97133)),f317(f317(f242(x97133,x97133),x97131),x97132)),x97134)) % 199.88/201.00 [9749]P1(f317(f317(f319(f904(f899(x97491),f899(x97491))),f317(f317(f242(f899(x97491),f899(x97491)),f317(f317(f141(x97491),x97492),x97493)),f317(f317(f141(x97491),x97494),x97495))),f148(x97491,x97496)))+~P1(f317(f317(f319(f904(f899(x97491),f899(x97491))),f317(f317(f242(f899(x97491),f899(x97491)),x97493),x97495)),f148(x97491,x97496)))+~P1(f317(f317(f319(f904(x97491,x97491)),f317(f317(f242(x97491,x97491),x97492),x97494)),x97496)) % 199.88/201.00 [9766]P1(f317(x97661,x97662))+~P1(f317(x97661,f359(x97661,x97663,x97664,x97665,x97666)))+~P1(f317(f317(f319(x97666),x97662),f317(f317(f34(x97665,f905(x97666,a894)),x97664),x97663))) % 199.88/201.00 [9771]~P1(f317(f317(f319(f904(f899(x97711),f899(x97711))),f317(f317(f242(f899(x97711),f899(x97711)),f317(f317(f141(x97711),x97712),x97715)),f317(f317(f141(x97711),x97713),x97716))),f135(x97711,x97714)))+P1(f317(f317(f319(f904(f899(x97711),f899(x97711))),f317(f317(f242(f899(x97711),f899(x97711)),x97715),x97716)),f135(x97711,x97714)))+P1(f317(f317(f319(f904(x97711,x97711)),f317(f317(f242(x97711,x97711),x97712),x97713)),x97714)) % 199.88/201.00 [9772]~P1(f317(f317(f319(f904(f899(x97721),f899(x97721))),f317(f317(f242(f899(x97721),f899(x97721)),f317(f317(f141(x97721),x97722),x97725)),f317(f317(f141(x97721),x97723),x97726))),f137(x97721,x97724)))+P1(f317(f317(f319(f904(f899(x97721),f899(x97721))),f317(f317(f242(f899(x97721),f899(x97721)),x97725),x97726)),f137(x97721,x97724)))+P1(f317(f317(f319(f904(x97721,x97721)),f317(f317(f242(x97721,x97721),x97722),x97723)),x97724)) % 199.88/201.00 [9773]~P1(f317(f317(f319(f904(f899(x97731),f899(x97731))),f317(f317(f242(f899(x97731),f899(x97731)),f317(f317(f141(x97731),x97732),x97735)),f317(f317(f141(x97731),x97733),x97736))),f147(x97731,x97734)))+P1(f317(f317(f319(f904(f899(x97731),f899(x97731))),f317(f317(f242(f899(x97731),f899(x97731)),x97735),x97736)),f147(x97731,x97734)))+P1(f317(f317(f319(f904(x97731,x97731)),f317(f317(f242(x97731,x97731),x97732),x97733)),x97734)) % 199.88/201.00 [9861]P1(f317(x98611,x98612))+P1(f317(f317(f319(x98613),f360(x98611,x98614,x98615,x98613,x98616)),x98615))+~P1(f317(f317(f319(x98616),x98612),f317(f317(f34(x98613,f905(x98616,a894)),x98615),x98614))) % 199.88/201.00 [9872]~E(x98722,x98724)+P1(f317(f317(f319(f904(f899(x98721),f899(x98721))),f317(f317(f242(f899(x98721),f899(x98721)),f317(f317(f124(x98721),x98722),f317(f317(f141(x98721),x98723),f103(x98721)))),f317(f317(f124(x98721),x98724),f317(f317(f141(x98721),x98725),f103(x98721))))),f147(x98721,x98726)))+~P1(f317(f317(f319(f904(x98721,x98721)),f317(f317(f242(x98721,x98721),x98723),x98725)),x98726)) % 199.88/201.00 [9946]E(x99461,x99462)+~P1(f317(f317(f319(f904(f899(x99463),f899(x99463))),f317(f317(f242(f899(x99463),f899(x99463)),f317(f317(f124(x99463),x99465),f317(f317(f141(x99463),x99461),f103(x99463)))),f317(f317(f124(x99463),x99466),f317(f317(f141(x99463),x99462),f103(x99463))))),f147(x99463,x99464)))+P1(f317(f317(f319(f904(x99463,x99463)),f317(f317(f242(x99463,x99463),x99461),x99462)),x99464)) % 199.88/201.00 [9977]~P1(f317(f317(f319(f904(f899(x99771),f899(x99771))),f317(f317(f242(f899(x99771),f899(x99771)),f317(f317(f124(x99771),x99775),f317(f317(f141(x99771),x99772),f103(x99771)))),f317(f317(f124(x99771),x99776),f317(f317(f141(x99771),x99773),f103(x99771))))),f147(x99771,x99774)))+P1(f317(f317(f319(f904(f899(x99771),f899(x99771))),f317(f317(f242(f899(x99771),f899(x99771)),x99775),x99776)),f147(x99771,x99774)))+P1(f317(f317(f319(f904(x99771,x99771)),f317(f317(f242(x99771,x99771),x99772),x99773)),x99774)) % 199.88/201.00 [9997]P1(f317(x99971,x99972))+P1(f317(f317(f319(x99973),f359(x99971,x99974,x99975,x99976,x99973)),f317(x99974,f360(x99971,x99974,x99975,x99976,x99973))))+~P1(f317(f317(f319(x99973),x99972),f317(f317(f34(x99976,f905(x99973,a894)),x99975),x99974))) % 199.88/201.00 [10148]P1(f317(f317(f319(x101481),f813(x101482,x101483,x101484,x101485,x101486,x101481)),x101485))+~P1(f317(f317(f225(f905(x101481,a894)),x101486),x101485))+P1(f317(f317(f225(f905(x101484,a894)),f317(f317(f35(x101481,f905(x101484,a894)),x101485),x101483)),f317(f317(f35(x101481,f905(x101484,a894)),x101485),x101482))) % 199.88/201.00 [10275]~P1(f317(f317(f225(f905(x102751,a894)),f317(x102754,f813(x102755,x102754,x102751,x102753,x102756,x102752))),f317(x102755,f813(x102755,x102754,x102751,x102753,x102756,x102752))))+~P1(f317(f317(f225(f905(x102752,a894)),x102756),x102753))+P1(f317(f317(f225(f905(x102751,a894)),f317(f317(f35(x102752,f905(x102751,a894)),x102753),x102754)),f317(f317(f35(x102752,f905(x102751,a894)),x102753),x102755))) % 199.88/201.00 [8988]~P16(x89883,x89884,x89881)+~P1(f317(f28(x89883),x89886))+E(f317(f317(x89881,x89882),f317(f317(f58(x89883,x89884,x89881),x89885),f317(f317(f23(f905(x89883,a894)),x89886),f317(f317(f299(x89883),x89882),f178(f905(x89883,a894)))))),f317(f317(f58(x89883,x89884,x89881),x89885),f317(f317(f299(x89883),x89882),x89886))) % 199.88/201.00 [9283]~P1(f317(f317(f319(x92835),x92833),x92836))+P1(f317(f317(f225(f905(x92831,a894)),f317(x92832,x92833)),x92834))+~P1(f317(f317(f225(f905(x92831,a894)),f317(f317(f34(x92835,f905(x92831,a894)),x92836),x92832)),x92834)) % 199.88/201.00 [9921]~P8(x99211,x99215,x99214)+P1(f317(f317(f319(f904(x99211,x99211)),f317(f317(f242(x99211,x99211),x99212),x99213)),x99214))+~P1(f317(f317(f319(x99211),x99216),f317(f317(f92(f905(x99211,a894)),f317(f275(x99211,x99211,x99214),f317(f317(f299(x99211),x99212),f178(f905(x99211,a894))))),f317(f275(x99211,x99211,x99214),f317(f317(f299(x99211),x99213),f178(f905(x99211,a894))))))) % 199.88/201.00 [8710]~P140(x87102)+~E(f317(f317(f74(x87102),f317(f317(f75(x87102),x87104),x87105)),x87101),f317(f317(f74(x87102),f317(f317(f75(x87102),x87103),x87105)),x87106))+E(x87101,f317(f317(f74(x87102),f317(f317(f75(x87102),f317(f317(f23(x87102),x87103),x87104)),x87105)),x87106)) % 199.88/201.00 [8711]~P140(x87111)+~E(f317(f317(f74(x87111),f317(f317(f75(x87111),x87112),x87114)),x87115),f317(f317(f74(x87111),f317(f317(f75(x87111),x87113),x87114)),x87116))+E(f317(f317(f74(x87111),f317(f317(f75(x87111),f317(f317(f23(x87111),x87112),x87113)),x87114)),x87115),x87116) % 199.88/201.00 [8893]~P140(x88931)+E(f317(f317(f74(x88931),f317(f317(f75(x88931),x88932),x88933)),x88934),f317(f317(f74(x88931),f317(f317(f75(x88931),x88935),x88933)),x88936))+~E(x88936,f317(f317(f74(x88931),f317(f317(f75(x88931),f317(f317(f23(x88931),x88932),x88935)),x88933)),x88934)) % 199.88/201.00 [8894]~P140(x88941)+E(f317(f317(f74(x88941),f317(f317(f75(x88941),x88942),x88943)),x88944),f317(f317(f74(x88941),f317(f317(f75(x88941),x88945),x88943)),x88946))+~E(f317(f317(f74(x88941),f317(f317(f75(x88941),f317(f317(f23(x88941),x88942),x88945)),x88943)),x88944),x88946) % 199.88/201.00 [9220]~P1(f317(f317(x92204,x92205),x92206))+~P1(f317(f317(x92203,x92205),x92206))+P1(f317(f317(f317(f317(f92(f905(x92201,f905(x92202,a894))),x92203),x92204),x92205),x92206)) % 199.88/201.00 [9485]P1(f317(f317(x94851,x94852),x94853))+P1(f317(f317(x94854,x94852),x94853))+~P1(f317(f317(f317(f317(f91(f905(x94855,f905(x94856,a894))),x94854),x94851),x94852),x94853)) % 199.88/201.00 [9786]~P136(x97861)+~P1(f317(f317(f225(x97861),f317(f317(f74(x97861),f317(f317(f75(x97861),x97864),x97865)),x97862)),f317(f317(f74(x97861),f317(f317(f75(x97861),x97863),x97865)),x97866)))+P1(f317(f317(f225(x97861),x97862),f317(f317(f74(x97861),f317(f317(f75(x97861),f317(f317(f23(x97861),x97863),x97864)),x97865)),x97866))) % 199.88/201.00 [9787]~P136(x97871)+~P1(f317(f317(f226(x97871),f317(f317(f74(x97871),f317(f317(f75(x97871),x97874),x97875)),x97872)),f317(f317(f74(x97871),f317(f317(f75(x97871),x97873),x97875)),x97876)))+P1(f317(f317(f226(x97871),x97872),f317(f317(f74(x97871),f317(f317(f75(x97871),f317(f317(f23(x97871),x97873),x97874)),x97875)),x97876))) % 199.88/201.00 [9810]~P136(x98101)+P1(f317(f317(f225(x98101),f317(f317(f74(x98101),f317(f317(f75(x98101),x98102),x98103)),x98104)),f317(f317(f74(x98101),f317(f317(f75(x98101),x98105),x98103)),x98106)))+~P1(f317(f317(f225(x98101),x98104),f317(f317(f74(x98101),f317(f317(f75(x98101),f317(f317(f23(x98101),x98105),x98102)),x98103)),x98106))) % 199.88/201.00 [9811]~P136(x98111)+P1(f317(f317(f226(x98111),f317(f317(f74(x98111),f317(f317(f75(x98111),x98112),x98113)),x98114)),f317(f317(f74(x98111),f317(f317(f75(x98111),x98115),x98113)),x98116)))+~P1(f317(f317(f226(x98111),x98114),f317(f317(f74(x98111),f317(f317(f75(x98111),f317(f317(f23(x98111),x98115),x98112)),x98113)),x98116))) % 199.88/201.00 [9913]~P136(x99131)+~P1(f317(f317(f225(x99131),f317(f317(f74(x99131),f317(f317(f75(x99131),x99132),x99134)),x99135)),f317(f317(f74(x99131),f317(f317(f75(x99131),x99133),x99134)),x99136)))+P1(f317(f317(f225(x99131),f317(f317(f74(x99131),f317(f317(f75(x99131),f317(f317(f23(x99131),x99132),x99133)),x99134)),x99135)),x99136)) % 199.88/201.00 [9914]~P136(x99141)+~P1(f317(f317(f226(x99141),f317(f317(f74(x99141),f317(f317(f75(x99141),x99142),x99144)),x99145)),f317(f317(f74(x99141),f317(f317(f75(x99141),x99143),x99144)),x99146)))+P1(f317(f317(f226(x99141),f317(f317(f74(x99141),f317(f317(f75(x99141),f317(f317(f23(x99141),x99142),x99143)),x99144)),x99145)),x99146)) % 199.88/201.00 [9960]~P136(x99601)+P1(f317(f317(f225(x99601),f317(f317(f74(x99601),f317(f317(f75(x99601),x99602),x99603)),x99604)),f317(f317(f74(x99601),f317(f317(f75(x99601),x99605),x99603)),x99606)))+~P1(f317(f317(f225(x99601),f317(f317(f74(x99601),f317(f317(f75(x99601),f317(f317(f23(x99601),x99602),x99605)),x99603)),x99604)),x99606)) % 199.88/201.00 [9961]~P136(x99611)+P1(f317(f317(f226(x99611),f317(f317(f74(x99611),f317(f317(f75(x99611),x99612),x99613)),x99614)),f317(f317(f74(x99611),f317(f317(f75(x99611),x99615),x99613)),x99616)))+~P1(f317(f317(f226(x99611),f317(f317(f74(x99611),f317(f317(f75(x99611),f317(f317(f23(x99611),x99612),x99615)),x99613)),x99614)),x99616)) % 199.88/201.00 [10133]~P77(x101332)+~P1(f317(f28(x101331),x101336))+E(f317(f317(f6(x101331,x101332),f317(f317(f18(x101331,x101332,x101332),f317(f317(f18(x101331,x101332,f905(x101332,x101332)),f317(f317(f8(a894,f905(x101332,f905(x101332,x101332)),x101331),f86(x101332)),x101333)),x101334)),x101335)),x101336),f317(f317(f74(x101332),f317(f317(f6(x101331,x101332),x101334),f317(f317(f92(f905(x101331,a894)),x101336),f317(f252(x101331),x101333)))),f317(f317(f6(x101331,x101332),x101335),f317(f317(f92(f905(x101331,a894)),x101336),f317(f73(f905(x101331,a894)),f317(f252(x101331),x101333)))))) % 199.88/201.00 [10194]P1(f317(f317(f319(x101942),x101944),x101946))+P1(f317(f317(f319(x101942),x101945),x101946))+E(f317(f301(x101941,x101942,f317(f317(f7(x101941,x101942,x101942),f317(f317(f7(x101941,x101942,f905(x101942,x101942)),f317(f317(f8(a894,f905(x101942,f905(x101942,x101942)),x101941),f86(x101942)),f317(f317(f7(x101941,f905(x101941,a894),a894),f319(x101941)),x101943))),x101944)),x101945)),x101946),f178(f905(x101941,a894))) % 199.88/201.00 [10195]P1(f317(f317(f319(x101952),x101955),x101956))+~P1(f317(f317(f319(x101952),x101954),x101956))+E(f317(f301(x101951,x101952,f317(f317(f7(x101951,x101952,x101952),f317(f317(f7(x101951,x101952,f905(x101952,x101952)),f317(f317(f8(a894,f905(x101952,f905(x101952,x101952)),x101951),f86(x101952)),f317(f317(f7(x101951,f905(x101951,a894),a894),f319(x101951)),x101953))),x101954)),x101955)),x101956),x101953) % 199.88/201.00 [10196]P1(f317(f317(f319(x101962),x101964),x101966))+~P1(f317(f317(f319(x101962),x101965),x101966))+E(f317(f301(x101961,x101962,f317(f317(f7(x101961,x101962,x101962),f317(f317(f7(x101961,x101962,f905(x101962,x101962)),f317(f317(f8(a894,f905(x101962,f905(x101962,x101962)),x101961),f86(x101962)),f317(f317(f7(x101961,f905(x101961,a894),a894),f319(x101961)),x101963))),x101964)),x101965)),x101966),f317(f73(f905(x101961,a894)),x101963)) % 199.88/201.00 [10197]~P1(f317(f317(f319(x101972),x101974),x101976))+~P1(f317(f317(f319(x101972),x101975),x101976))+E(f317(f301(x101971,x101972,f317(f317(f7(x101971,x101972,x101972),f317(f317(f7(x101971,x101972,f905(x101972,x101972)),f317(f317(f8(a894,f905(x101972,f905(x101972,x101972)),x101971),f86(x101972)),f317(f317(f7(x101971,f905(x101971,a894),a894),f319(x101971)),x101973))),x101974)),x101975)),x101976),f232(f905(x101971,a894))) % 199.88/201.00 [8743]E(x87431,x87432)+~P56(x87434,x87435,x87433,x87436,x87437)+~E(f317(x87433,x87431),f317(x87433,x87432)) % 199.88/201.00 [8772]~P10(x87726,x87725,x87727,x87724,x87721)+E(f317(f317(x87721,x87722),x87723),x87724)+P1(f317(f28(x87725),x87723)) % 199.88/201.00 [9653]P41(x96531,x96532,x96533,x96534,x96535,f317(f317(x96533,x96536),x96537))+~E(f317(f317(x96533,x96536),x96537),x96534)+~E(x96535,f178(f905(x96531,a894))) % 199.88/201.00 [9832]~P1(f317(x98326,x98323))+~P1(f317(f317(f319(f904(x98322,x98322)),f317(f317(f242(x98322,x98322),x98324),x98325)),f317(x98327,x98323)))+P1(f317(f317(f319(f904(f904(x98321,x98322),f904(x98321,x98322))),f317(f317(f242(f904(x98321,x98322),f904(x98321,x98322)),f317(f317(f242(x98321,x98322),x98323),x98324)),f317(f317(f242(x98321,x98322),x98323),x98325))),f270(x98321,x98322,x98326,x98327))) % 199.88/201.00 [10259]~P41(x102592,x102597,x102593,x102596,x102591,f317(f317(x102593,x102595),x102594))+E(f317(f317(x102593,f572(x102594,x102595,x102591,x102596,x102593,x102597,x102592)),f580(x102594,x102595,x102591,x102596,x102593,x102597,x102592)),f317(f317(x102593,x102595),x102594))+E(x102591,f178(f905(x102592,a894))) % 199.88/201.00 [10260]~P41(x102607,x102606,x102601,x102604,x102605,f317(f317(x102601,x102602),x102603))+E(f317(f317(x102601,f572(x102603,x102602,x102605,x102604,x102601,x102606,x102607)),f580(x102603,x102602,x102605,x102604,x102601,x102606,x102607)),f317(f317(x102601,x102602),x102603))+E(f317(f317(x102601,x102602),x102603),x102604) % 199.88/201.00 [9317]~P33(x93171,x93172,x93173,x93175,x93177)+P33(x93171,x93172,x93173,f317(f317(f141(x93171),x93174),x93175),f317(f317(f141(x93172),x93176),x93177))+~P1(f317(f317(x93173,x93174),x93176)) % 199.88/201.00 [9336]P33(x93361,x93362,x93363,x93364,x93365)+~P33(x93361,x93362,x93363,f317(f317(f124(x93361),x93366),x93364),f317(f317(f124(x93362),x93367),x93365))+~E(f317(f179(f899(x93361)),x93366),f317(f179(f899(x93362)),x93367)) % 199.88/201.00 [9337]P33(x93371,x93372,x93373,x93374,x93375)+~P33(x93371,x93372,x93373,f317(f317(f124(x93371),x93374),x93376),f317(f317(f124(x93372),x93375),x93377))+~E(f317(f179(f899(x93371)),x93374),f317(f179(f899(x93372)),x93375)) % 199.88/201.00 [9552]~P33(x95521,x95522,x95523,x95525,x95527)+~P33(x95521,x95522,x95523,x95524,x95526)+P33(x95521,x95522,x95523,f317(f317(f124(x95521),x95524),x95525),f317(f317(f124(x95522),x95526),x95527)) % 199.88/201.00 [9906]~P1(f317(f60(x99061,x99064,x99065,x99066,x99063),x99067))+P1(f317(f60(x99061,x99064,x99065,x99066,f317(f317(f299(x99061),x99062),x99063)),f317(f317(x99065,x99062),x99067)))+P1(f317(f317(f319(x99061),x99062),x99063)) % 199.88/201.00 [10291]~P41(x102912,x102917,x102916,x102915,x102911,f317(f317(x102916,x102914),x102913))+E(x102911,f178(f905(x102912,a894)))+P1(f317(f317(f319(x102912),f572(x102913,x102914,x102911,x102915,x102916,x102917,x102912)),x102911)) % 199.88/201.00 [10292]~P41(x102925,x102927,x102921,x102924,x102926,f317(f317(x102921,x102922),x102923))+E(f317(f317(x102921,x102922),x102923),x102924)+P1(f317(f317(f319(x102925),f572(x102923,x102922,x102926,x102924,x102921,x102927,x102925)),x102926)) % 199.88/201.00 [10379]E(f317(f317(f242(x103791,x103792),x103793),x103794),f317(f317(f242(x103791,x103792),x103795),x103796))+P1(f317(f317(f319(f904(f904(x103791,x103792),f904(x103791,x103792))),f317(f317(f242(f904(x103791,x103792),f904(x103791,x103792)),f317(f317(f242(x103791,x103792),f818(x103797,x103794,x103793,x103796,x103795,x103792,x103791)),f819(x103797,x103794,x103793,x103796,x103795,x103792,x103791))),f317(f317(f242(x103791,x103792),x103793),x103794))),f297(f904(x103791,x103792),x103797)))+~P1(f317(f317(f319(f904(f904(x103791,x103792),f904(x103791,x103792))),f317(f317(f242(f904(x103791,x103792),f904(x103791,x103792)),f317(f317(f242(x103791,x103792),x103795),x103796)),f317(f317(f242(x103791,x103792),x103793),x103794))),f297(f904(x103791,x103792),x103797))) % 199.88/201.00 [9013]~P21(x90134,x90135,x90136,x90137,x90131)+~P1(f317(f28(x90135),x90133))+E(f317(f317(x90131,x90132),x90133),f317(f317(f317(f59(x90134,x90135,x90136),x90132),x90137),x90133)) % 199.88/201.00 [9014]~P10(x90144,x90145,x90146,x90147,x90141)+~P1(f317(f28(x90145),x90143))+E(f317(f317(x90141,x90142),x90143),f317(f317(f317(f59(x90144,x90145,x90146),x90142),x90147),x90143)) % 199.88/201.00 [9805]~P23(x98053,x98054,x98055,x98057,x98056,x98051)+~P1(f317(f28(x98054),x98052))+E(f317(x98051,x98052),f317(f317(f317(f59(x98053,x98054,x98055),x98056),x98057),x98052)) % 199.88/201.00 [9955]P41(x99551,x99552,x99553,x99554,x99555,f317(f317(x99553,x99556),x99557))+~P41(x99551,x99552,x99553,x99554,f317(f317(f23(f905(x99551,a894)),x99555),f317(f317(f299(x99551),x99556),f178(f905(x99551,a894)))),x99557)+~P1(f317(f317(f319(x99551),x99556),x99555)) % 199.88/201.00 [10315]P1(f317(f317(x103157,f767(x103154,x103155,x103151,x103156,x103153,x103152,x103157)),f768(x103154,x103155,x103151,x103156,x103153,x103152,x103157)))+~P1(f317(f317(x103157,f317(f246(x103152,x103153),x103156)),f317(f241(x103152,x103153),x103156)))+P1(f317(x103151,f317(f317(f247(x103152,x103153,x103154),x103155),x103156))) % 199.88/201.00 [10325]~P41(x103252,x103253,x103254,x103255,x103251,f317(f317(x103254,x103257),x103256))+P41(x103252,x103253,x103254,x103255,f317(f317(f23(f905(x103252,a894)),x103251),f317(f317(f299(x103252),f572(x103256,x103257,x103251,x103255,x103254,x103253,x103252)),f178(f905(x103252,a894)))),f580(x103256,x103257,x103251,x103255,x103254,x103253,x103252))+E(x103251,f178(f905(x103252,a894))) % 199.88/201.00 [10326]~P41(x103265,x103266,x103261,x103264,x103267,f317(f317(x103261,x103262),x103263))+P41(x103265,x103266,x103261,x103264,f317(f317(f23(f905(x103265,a894)),x103267),f317(f317(f299(x103265),f572(x103263,x103262,x103267,x103264,x103261,x103266,x103265)),f178(f905(x103265,a894)))),f580(x103263,x103262,x103267,x103264,x103261,x103266,x103265))+E(f317(f317(x103261,x103262),x103263),x103264) % 199.88/201.00 [10346]~P1(f317(x103461,f317(f317(x103465,f768(x103464,x103465,x103461,x103466,x103463,x103462,x103467)),f767(x103464,x103465,x103461,x103466,x103463,x103462,x103467))))+~P1(f317(f317(x103467,f317(f246(x103462,x103463),x103466)),f317(f241(x103462,x103463),x103466)))+P1(f317(x103461,f317(f317(f247(x103462,x103463,x103464),x103465),x103466))) % 199.88/201.00 [9638]P1(f317(f317(f225(f905(f904(x96381,x96382),a894)),f317(f317(f279(x96381,x96383,x96382),x96384),x96385)),f317(f317(f279(x96381,x96383,x96382),x96386),x96387)))+~P1(f317(f317(f225(f905(f904(x96383,x96382),a894)),x96385),x96387))+~P1(f317(f317(f225(f905(f904(x96381,x96383),a894)),x96384),x96386)) % 199.88/201.00 [10373]E(f317(f317(f242(x103731,x103732),x103733),x103734),f317(f317(f242(x103731,x103732),x103735),x103736))+~P1(f317(f317(f319(f904(f904(x103731,x103732),f904(x103731,x103732))),f317(f317(f242(f904(x103731,x103732),f904(x103731,x103732)),f317(f317(f242(x103731,x103732),x103733),x103734)),f317(f317(f242(x103731,x103732),x103735),x103736))),f297(f904(x103731,x103732),x103737)))+P1(f317(f317(f319(f904(f904(x103731,x103732),f904(x103731,x103732))),f317(f317(f242(f904(x103731,x103732),f904(x103731,x103732)),f317(f317(f242(x103731,x103732),x103733),x103734)),f317(f317(f242(x103731,x103732),f818(x103737,x103736,x103735,x103734,x103733,x103732,x103731)),f819(x103737,x103736,x103735,x103734,x103733,x103732,x103731)))),x103737)) % 199.88/201.00 [9966]~P1(f317(f317(f319(x99661),x99666),x99665))+P1(f317(f60(x99661,x99662,x99663,x99664,x99665),f317(f317(x99663,x99666),x99667)))+~P1(f317(f60(x99661,x99662,x99663,x99664,f317(f317(f23(f905(x99661,a894)),x99665),f317(f317(f299(x99661),x99666),f178(f905(x99661,a894))))),x99667)) % 199.88/201.00 [10386]~P145(x103861)+~P24(f904(x103862,x103863),x103861,f317(f247(x103862,x103863,x103861),f317(f317(f7(x103862,f905(x103863,x103861),f905(x103863,x103861)),f317(f317(f8(f905(x103861,x103861),f905(f905(x103863,x103861),f905(x103863,x103861)),x103862),f8(x103861,x103861,x103863)),f317(f317(f8(x103861,f905(x103861,x103861),x103862),f75(x103861)),x103864))),x103865)),f317(f317(f244(x103862,x103863),x103866),f317(f16(f905(x103863,a894),x103862),x103867)))+E(f317(f317(f6(x103861,x103861),f25(x103861)),f317(f252(x103861),f317(f317(f8(f905(x103862,a894),a894,x103861),f81(x103862)),f317(f317(f8(f905(x103862,f905(x103863,a894)),f905(x103862,a894),x103861),f317(f8(f905(x103863,a894),a894,x103862),f81(x103863))),f317(f317(f7(x103861,f905(x103862,f905(x103863,a894)),f905(x103862,f905(x103863,a894))),f317(f317(f8(f905(x103862,f905(f905(x103863,a894),f905(x103863,a894))),f905(f905(x103862,f905(x103863,a894)),f905(x103862,f905(x103863,a894))),x103861),f18(x103862,f905(x103863,a894),f905(x103863,a894))),f317(f317(f8(f905(x103862,f905(x103863,f905(a894,a894))),f905(x103862,f905(f905(x103863,a894),f905(x103863,a894))),x103861),f317(f8(f905(x103863,f905(a894,a894)),f905(f905(x103863,a894),f905(x103863,a894)),x103862),f18(x103863,a894,a894))),f317(f317(f8(f905(x103862,f905(x103863,a894)),f905(x103862,f905(x103863,f905(a894,a894))),x103861),f317(f8(f905(x103863,a894),f905(x103863,f905(a894,a894)),x103862),f317(f8(a894,f905(a894,a894),x103863),a315))),f317(f317(f7(x103861,f905(x103862,f905(x103863,x103861)),f905(x103862,f905(x103863,a894))),f317(f317(f8(f905(f905(x103863,x103861),f905(x103863,a894)),f905(f905(x103862,f905(x103863,x103861)),f905(x103862,f905(x103863,a894))),x103861),f8(f905(x103863,x103861),f905(x103863,a894),x103862)),f317(f317(f8(f905(x103861,a894),f905(f905(x103863,x103861),f905(x103863,a894)),x103861),f8(x103861,a894,x103863)),a314))),f317(f317(f7(x103862,f905(x103863,x103861),f905(x103863,x103861)),f317(f317(f8(f905(x103861,x103861),f905(f905(x103863,x103861),f905(x103863,x103861)),x103862),f8(x103861,x103861,x103863)),f317(f317(f8(x103861,f905(x103861,x103861),x103862),f75(x103861)),x103864))),x103865)))))),f317(f317(f7(x103862,f905(x103863,a894),f905(x103863,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x103863,a894),f905(x103863,a894)),x103862),f8(a894,a894,x103863)),f317(f317(f8(a894,f905(a894,a894),x103862),a315),f317(f317(f7(x103862,f905(x103862,a894),a894),f319(x103862)),x103866)))),f317(f317(f7(x103863,f905(x103863,a894),a894),f319(x103863)),x103867))))))),f317(f317(f75(x103861),f317(f317(f6(x103862,x103861),x103864),x103866)),f317(f317(f6(x103863,x103861),x103865),x103867))) % 199.88/201.00 [9642]~P25(x96421,x96423,x96425,x96426,x96428)+~P25(x96423,x96422,x96424,x96428,x96427)+P25(x96421,x96422,f317(f67(x96423,x96422,x96421,x96424),x96425),x96426,x96427) % 199.88/201.00 [9671]P25(x96711,x96712,x96713,x96714,x96715)+~P25(x96716,x96711,x96717,x96718,x96714)+~P25(x96716,x96712,f317(f67(x96711,x96712,x96716,x96713),x96717),x96718,x96715) % 199.88/201.00 [9803]~P1(f317(f317(x98034,x98036),x98038))+~P1(f317(f317(x98035,x98038),x98037))+P1(f317(f317(f243(x98031,x98032,x98033,x98034,x98035),x98036),x98037)) % 199.88/201.00 [9392]~P19(x93928,x93921,x93923,x93925)+~P1(f317(f28(x93928),x93926))+E(f317(f67(x93921,x93921,x93922,f317(x93923,x93924)),f317(f67(x93921,x93921,x93922,f317(x93925,x93926)),x93927)),f317(f67(x93921,x93921,x93922,f317(x93925,x93926)),f317(f67(x93921,x93921,x93922,f317(x93923,x93924)),x93927))) % 199.88/201.00 [9793]~P22(x97937,x97932,x97935,x97938,x97936,x97931)+~P1(f317(f28(x97932),x97934))+E(f317(x97931,f317(f317(f299(x97932),x97933),x97934)),f317(f317(x97935,f317(x97936,x97933)),f317(x97931,x97934))) % 199.88/201.00 [9911]~P24(x99112,x99114,x99116,x99118)+~P24(x99111,x99113,x99115,x99117)+P24(f904(x99111,x99112),f904(x99113,x99114),f248(x99111,x99113,x99112,x99114,x99115,x99116),f317(f317(f244(x99111,x99112),x99117),f317(f16(f905(x99112,a894),x99111),x99118))) % 199.88/201.00 [9578]P1(f317(f317(f319(f904(x95781,x95782)),f317(f317(f242(x95781,x95782),x95783),x95784)),f317(f317(f279(x95781,x95785,x95782),x95786),x95787)))+~P1(f317(f317(f319(f904(x95781,x95785)),f317(f317(f242(x95781,x95785),x95783),x95788)),x95786))+~P1(f317(f317(f319(f904(x95785,x95782)),f317(f317(f242(x95785,x95782),x95788),x95784)),x95787)) % 199.88/201.00 [9774]~P1(f317(f317(f225(f905(f904(x97743,x97742),a894)),x97745),f317(f317(f244(x97743,x97742),x97748),f317(f16(f905(x97742,a894),x97743),x97747))))+~P1(f317(f317(f225(f905(f904(x97741,x97743),a894)),x97744),f317(f317(f244(x97741,x97743),x97746),f317(f16(f905(x97743,a894),x97741),x97748))))+P1(f317(f317(f225(f905(f904(x97741,x97742),a894)),f317(f317(f279(x97741,x97743,x97742),x97744),x97745)),f317(f317(f244(x97741,x97742),x97746),f317(f16(f905(x97742,a894),x97741),x97747)))) % 199.88/201.00 [9827]~E(x98273,x98275)+P1(f317(f317(f319(f904(f904(x98271,x98272),f904(x98271,x98272))),f317(f317(f242(f904(x98271,x98272),f904(x98271,x98272)),f317(f317(f242(x98271,x98272),x98273),x98274)),f317(f317(f242(x98271,x98272),x98275),x98276))),f309(x98271,x98272,x98277,x98278)))+~P1(f317(f317(f319(f904(x98272,x98272)),f317(f317(f242(x98272,x98272),x98274),x98276)),x98278)) % 199.88/201.00 [9930]E(x99301,x99302)+~P1(f317(f317(f319(f904(f904(x99303,x99305),f904(x99303,x99305))),f317(f317(f242(f904(x99303,x99305),f904(x99303,x99305)),f317(f317(f242(x99303,x99305),x99301),x99306)),f317(f317(f242(x99303,x99305),x99302),x99307))),f309(x99303,x99305,x99304,x99308)))+P1(f317(f317(f319(f904(x99303,x99303)),f317(f317(f242(x99303,x99303),x99301),x99302)),x99304)) % 199.88/201.00 [9945]~P1(f317(f317(f319(f904(f904(x99451,x99455),f904(x99451,x99455))),f317(f317(f242(f904(x99451,x99455),f904(x99451,x99455)),f317(f317(f242(x99451,x99455),x99452),x99456)),f317(f317(f242(x99451,x99455),x99453),x99457))),f309(x99451,x99455,x99454,x99458)))+P1(f317(f317(f319(f904(x99451,x99451)),f317(f317(f242(x99451,x99451),x99452),x99453)),x99454))+P1(f317(f317(f319(f904(x99455,x99455)),f317(f317(f242(x99455,x99455),x99456),x99457)),x99458)) % 199.88/201.00 [9862]~P23(x98627,x98625,x98621,x98628,x98622,x98624)+~P1(f317(f28(x98625),x98626))+E(f317(f317(x98621,f317(x98622,x98623)),f317(x98624,f317(f317(f23(f905(x98625,a894)),x98626),f317(f317(f299(x98625),x98623),f178(f905(x98625,a894)))))),f317(x98624,f317(f317(f299(x98625),x98623),x98626))) % 199.88/201.00 [9343]~P1(f317(f317(f317(x93435,x93438),x93436),x93437))+~P1(f317(f317(f319(x93431),x93438),x93434))+P1(f317(f317(f317(f317(f34(x93431,f905(x93432,f905(x93433,a894))),x93434),x93435),x93436),x93437)) % 199.88/201.00 [9563]P1(f317(f317(f317(x95631,x95632),x95633),x95634))+~P1(f317(f317(f319(x95635),x95632),x95636))+~P1(f317(f317(f317(f317(f35(x95635,f905(x95637,f905(x95638,a894))),x95636),x95631),x95633),x95634)) % 199.88/201.00 [9767]~P21(x97673,x97672,x97674,x97678,x97671)+~P1(f317(f28(x97672),x97677))+E(f317(f317(x97671,f317(f317(f18(x97672,x97673,x97673),f317(f317(f8(x97673,f905(x97673,x97673),x97672),x97674),x97675)),x97676)),x97677),f317(f317(x97674,f317(f317(x97671,x97675),x97677)),f317(f317(x97671,x97676),x97677))) % 199.88/201.00 [10031]~E(f317(f300(x100312,x100314,x100316),x100318),x1003110)+~E(f317(f300(x100311,x100313,x100315),x100317),x100319)+E(f317(f300(f904(x100311,x100312),f904(x100313,x100314),f248(x100311,x100313,x100312,x100314,x100315,x100316)),f317(f317(f244(x100311,x100312),x100317),f317(f16(f905(x100312,a894),x100311),x100318))),f317(f317(f244(x100313,x100314),x100319),f317(f16(f905(x100314,a894),x100313),x1003110))) % 199.88/201.00 [4941]~P42(x49411,x49412)+~P49(x49411,x49412)+~P50(x49411,x49412)+P7(x49411,x49412) % 199.88/201.00 [4897]~P108(x48972)+~P13(x48972,x48971)+P13(x48972,f104(x48972,x48971))+E(x48971,f103(x48972)) % 199.88/201.00 [4898]~P108(x48982)+~P13(x48982,x48981)+P13(x48982,f685(x48981,x48982))+E(x48981,f103(x48982)) % 199.88/201.00 [5145]~P5(x51452)+E(f10(x51452,x51451),f32(x51452,x51451))+E(x51451,f178(f905(x51452,a894)))+~P1(f317(f28(x51452),x51451)) % 199.88/201.00 [5146]~P5(x51462)+E(f13(x51462,x51461),f31(x51462,x51461))+E(x51461,f178(f905(x51462,a894)))+~P1(f317(f28(x51462),x51461)) % 199.88/201.00 [5303]~P108(x53032)+~P13(x53032,x53031)+E(x53031,f103(x53032))+E(f317(f317(f141(x53032),f705(x53031,x53032)),f685(x53031,x53032)),x53031) % 199.88/201.00 [6126]~P98(x61262)+E(x61261,f178(f905(x61262,a894)))+P1(f317(f317(f225(x61262),f10(x61262,x61261)),f13(x61262,x61261)))+~P1(f317(f28(x61262),x61261)) % 199.88/201.00 [6137]~P39(x61372)+~P39(x61371)+E(x61371,x61372)+~E(f317(f300(a1,a898,a95),x61371),f317(f300(a1,a898,a95),x61372)) % 199.88/201.00 [9199]~P111(x91991)+~P1(f317(f317(f319(x91991),x91992),f100(x91991)))+P1(f317(f317(f226(x91991),f317(f317(f74(x91991),f317(f317(f74(x91991),f72(x91991)),x91992)),x91992)),f2(x91991)))+~P1(f317(f317(f226(x91991),x91992),f2(x91991))) % 199.88/201.00 [9445]~P111(x94451)+~P1(f317(f317(f319(x94451),x94452),f100(x94451)))+~P1(f317(f317(f226(x94451),f317(f317(f74(x94451),f317(f317(f74(x94451),f72(x94451)),x94452)),x94452)),f2(x94451)))+P1(f317(f317(f226(x94451),x94452),f2(x94451))) % 199.88/201.00 [4956]~P115(x49562)+~P145(x49562)+E(x49561,f2(a898))+E(f317(f317(f234(x49562),f2(x49562)),x49561),f2(x49562)) % 199.88/201.00 [4959]~P115(x49591)+~P145(x49591)+~E(x49592,f2(a898))+E(f317(f317(f234(x49591),f2(x49591)),x49592),f72(x49591)) % 199.88/201.00 [5131]~P142(x51312)+E(x51311,f72(x51312))+E(x51311,f317(f73(x51312),f72(x51312)))+~E(f317(f317(f75(x51312),x51311),x51311),f72(x51312)) % 199.88/201.00 [5380]~P89(x53802)+E(x53801,f2(x53802))+E(f76(x53802,x53801),f317(f73(x53802),f72(x53802)))+P1(f317(f317(f226(x53802),f2(x53802)),x53801)) % 199.88/201.00 [5622]~P89(x56222)+E(f76(x56222,x56221),f72(x56222))+E(x56221,f2(x56222))+~P1(f317(f317(f226(x56222),f2(x56222)),x56221)) % 199.88/201.00 [5631]E(x56311,x56312)+~E(f317(f94(a898),x56311),f317(f94(a898),x56312))+P1(f317(a183,f317(f94(a1),x56312)))+P1(f317(a183,f317(f94(a1),x56311))) % 199.88/201.00 [5682]~P92(x56821)+~E(x56822,f2(x56821))+E(f317(f317(f74(x56821),x56822),x56822),f2(x56821))+~P1(f317(f317(f319(x56821),x56822),f100(x56821))) % 199.88/201.00 [5721]E(x57211,f2(a1))+~E(f317(f317(f30(a1),x57212),x57211),f2(a1))+P1(f317(f317(f226(a1),x57211),x57212))+P1(f317(f317(f226(a1),x57212),x57211)) % 199.88/201.00 [5751]E(x57511,f2(a1))+~E(f317(f317(f30(a1),x57512),x57511),f2(a1))+P1(f317(f317(f225(a1),x57512),f2(a1)))+P1(f317(f317(f226(a1),x57512),x57511)) % 199.88/201.00 [5785]E(x57851,f2(a1))+~E(f317(f317(f30(a1),x57852),x57851),f2(a1))+P1(f317(f317(f225(a1),f2(a1)),x57852))+P1(f317(f317(f226(a1),x57851),x57852)) % 199.88/201.00 [5820]~P92(x58202)+E(x58201,f2(x58202))+~E(f317(f317(f74(x58202),x58201),x58201),f2(x58202))+~P1(f317(f317(f319(x58202),x58201),f100(x58202))) % 199.88/201.00 [5891]E(f317(f94(a898),x58911),f317(f94(a898),x58912))+~E(f317(f94(a1),x58912),f2(a1))+P1(f317(a183,f317(f94(a1),x58912)))+~P1(f317(a183,f317(f94(a1),x58911))) % 199.88/201.00 [5920]~E(f317(f94(a898),x59202),f317(f94(a898),x59201))+E(f317(f94(a1),x59201),f2(a1))+P1(f317(a183,f317(f94(a1),x59201)))+~P1(f317(a183,f317(f94(a1),x59202))) % 199.88/201.00 [5930]~P108(x59302)+E(x59301,f178(f905(x59302,a894)))+~P1(f317(f28(x59302),x59301))+P1(f317(f317(f319(x59302),f14(x59302,x59301)),x59301)) % 199.88/201.00 [5931]~P108(x59312)+E(x59311,f178(f905(x59312,a894)))+~P1(f317(f28(x59312),x59311))+P1(f317(f317(f319(x59312),f15(x59312,x59311)),x59311)) % 199.88/201.00 [6103]~P111(x61031)+~P93(x61031)+P1(f317(f317(f225(x61031),f2(x61031)),f317(f94(x61031),x61032)))+~P1(f317(f317(f225(a1),a77),x61032)) % 199.88/201.00 [6104]~P111(x61041)+~P93(x61041)+P1(f317(f317(f226(x61041),f2(x61041)),f317(f94(x61041),x61042)))+~P1(f317(f317(f226(a1),a77),x61042)) % 199.88/201.00 [6125]~P111(x61251)+~P93(x61251)+E(f317(f70(x61251),f317(f94(x61251),x61252)),f317(f94(x61251),x61252))+P1(f317(f317(f226(x61251),f317(f94(x61251),x61252)),f2(x61251))) % 199.88/201.00 [6161]E(x61611,x61612)+~E(f317(a95,x61611),f317(a95,x61612))+~P1(f317(f317(f225(a1),f2(a1)),x61612))+~P1(f317(f317(f225(a1),f2(a1)),x61611)) % 199.88/201.00 [6363]~P93(x63632)+~P111(x63632)+~P1(f317(f317(f225(x63632),f2(x63632)),f317(f94(x63632),x63631)))+P1(f317(f317(f225(a1),a77),x63631)) % 199.88/201.00 [6364]~P93(x63642)+~P111(x63642)+~P1(f317(f317(f226(x63642),f2(x63642)),f317(f94(x63642),x63641)))+P1(f317(f317(f226(a1),a77),x63641)) % 199.88/201.00 [6369]~P111(x63691)+~P93(x63691)+P1(f317(f317(f225(x63691),f317(f94(x63691),x63692)),f2(x63691)))+~P1(f317(f317(f225(a1),x63692),a77)) % 199.88/201.00 [6370]~P111(x63701)+~P93(x63701)+P1(f317(f317(f226(x63701),f317(f94(x63701),x63702)),f2(x63701)))+~P1(f317(f317(f226(a1),x63702),a77)) % 199.88/201.00 [6696]~P93(x66962)+~P111(x66962)+~P1(f317(f317(f225(x66962),f317(f94(x66962),x66961)),f2(x66962)))+P1(f317(f317(f225(a1),x66961),a77)) % 199.88/201.00 [6697]~P93(x66972)+~P111(x66972)+~P1(f317(f317(f226(x66972),f317(f94(x66972),x66971)),f2(x66972)))+P1(f317(f317(f226(a1),x66971),a77)) % 199.88/201.00 [6790]~P111(x67901)+~P93(x67901)+E(f317(f70(x67901),f317(f94(x67901),x67902)),f317(f73(x67901),f317(f94(x67901),x67902)))+~P1(f317(f317(f226(x67901),f317(f94(x67901),x67902)),f2(x67901))) % 199.88/201.00 [6809]E(f317(f94(a898),x68091),f317(f94(a898),x68092))+~E(f317(f94(a1),x68092),f2(a1))+~P1(f317(f317(f225(a1),f317(f94(a1),x68091)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x68091))) % 199.88/201.00 [7698]~P108(x76982)+E(x76981,f178(f905(x76982,a894)))+~P1(f317(f28(x76982),x76981))+P1(f317(f317(f225(x76982),f11(x76982,f229(x76982),x76981)),f12(x76982,f224(x76982),x76981))) % 199.88/201.00 [8018]~P39(x80182)+~P6(x80181)+P1(f317(f317(f319(a1),x80181),x80182))+~P1(f317(f317(f319(a898),f317(a95,x80181)),f317(f300(a1,a898,a95),x80182))) % 199.88/201.00 [5926]~P128(x59262)+E(x59261,f2(a1))+E(f317(f73(x59262),f317(f93(x59262),f317(f73(a1),x59261))),f317(f93(x59262),x59261))+~P1(f317(f317(f226(a1),x59261),f2(a1))) % 199.88/201.00 [6005]~P92(x60051)+~P93(x60051)+~P27(x60051,f317(f94(x60051),x60052))+P27(x60051,f317(f94(x60051),f317(f317(f74(a1),x60052),x60052))) % 199.88/201.00 [6352]~P79(x63522)+E(x63521,f178(f905(x63522,a894)))+E(f15(x63522,f317(f300(x63522,x63522,f73(x63522)),x63521)),f317(f73(x63522),f14(x63522,x63521)))+~P1(f317(f28(x63522),x63521)) % 199.88/201.00 [6353]~P79(x63532)+E(x63531,f178(f905(x63532,a894)))+E(f14(x63532,f317(f300(x63532,x63532,f73(x63532)),x63531)),f317(f73(x63532),f15(x63532,x63531)))+~P1(f317(f28(x63532),x63531)) % 199.88/201.00 [6387]~P92(x63871)+~P93(x63871)+P27(x63871,f317(f94(x63871),x63872))+~P27(x63871,f317(f94(x63871),f317(f317(f74(a1),x63872),x63872))) % 199.88/201.00 [6481]E(x64811,f2(a1))+E(f317(a46,f45(f317(f73(a1),x64811),f317(f73(a1),x64812))),f41(x64811,x64812))+P1(f317(f317(f225(a1),f2(a1)),x64812))+~P1(f317(f317(f225(a1),f2(a1)),x64811)) % 199.88/201.00 [8800]~P39(x88002)+~P39(x88001)+P1(f317(f317(f226(f905(a898,a894)),f317(f300(a1,a898,a95),x88001)),f317(f300(a1,a898,a95),x88002)))+~P1(f317(f317(f226(f905(a1,a894)),x88001),x88002)) % 199.88/201.00 [9031]~E(f707(x90312,x90311),f708(x90312,x90311))+~P1(f317(f127(x90311),f709(x90312,x90311)))+~P1(f317(f127(f899(x90311)),x90312))+P1(f317(f127(x90311),f317(f132(f899(x90311),f899(x90311),f124(x90311),f103(x90311)),x90312))) % 199.88/201.00 [9117]~P39(x91172)+~P39(x91171)+~P1(f317(f317(f225(f905(a898,a894)),f317(f300(a1,a898,a95),x91171)),f317(f300(a1,a898,a95),x91172)))+P1(f317(f317(f225(f905(a1,a894)),x91171),x91172)) % 199.88/201.00 [9118]~P39(x91182)+~P39(x91181)+~P1(f317(f317(f226(f905(a898,a894)),f317(f300(a1,a898,a95),x91181)),f317(f300(a1,a898,a95),x91182)))+P1(f317(f317(f226(f905(a1,a894)),x91181),x91182)) % 199.88/201.00 [9125]~E(f707(x91252,x91251),f708(x91252,x91251))+~P1(f317(f127(f899(x91251)),x91252))+P1(f317(f127(x91251),f317(f132(f899(x91251),f899(x91251),f124(x91251),f103(x91251)),x91252)))+P1(f317(f317(f319(f899(x91251)),f709(x91252,x91251)),f317(f162(f899(x91251)),x91252))) % 199.88/201.00 [9166]~P1(f317(f127(x91661),f709(x91662,x91661)))+~P1(f317(f127(f899(x91661)),x91662))+P1(f317(f127(x91661),f317(f132(f899(x91661),f899(x91661),f124(x91661),f103(x91661)),x91662)))+P1(f317(f317(f319(f899(x91661)),f708(x91662,x91661)),f317(f162(f899(x91661)),x91662))) % 199.88/201.00 [9167]~P1(f317(f127(x91671),f709(x91672,x91671)))+~P1(f317(f127(f899(x91671)),x91672))+P1(f317(f127(x91671),f317(f132(f899(x91671),f899(x91671),f124(x91671),f103(x91671)),x91672)))+P1(f317(f317(f319(f899(x91671)),f707(x91672,x91671)),f317(f162(f899(x91671)),x91672))) % 199.88/201.00 [9245]~P1(f317(f127(f899(x92451)),x92452))+P1(f317(f127(x92451),f317(f132(f899(x92451),f899(x92451),f124(x92451),f103(x92451)),x92452)))+P1(f317(f317(f319(f899(x92451)),f708(x92452,x92451)),f317(f162(f899(x92451)),x92452)))+P1(f317(f317(f319(f899(x92451)),f709(x92452,x92451)),f317(f162(f899(x92451)),x92452))) % 199.88/201.00 [9246]~P1(f317(f127(f899(x92461)),x92462))+P1(f317(f127(x92461),f317(f132(f899(x92461),f899(x92461),f124(x92461),f103(x92461)),x92462)))+P1(f317(f317(f319(f899(x92461)),f707(x92462,x92461)),f317(f162(f899(x92461)),x92462)))+P1(f317(f317(f319(f899(x92461)),f709(x92462,x92461)),f317(f162(f899(x92461)),x92462))) % 199.88/201.00 [9260]~E(f317(f317(f92(f905(x92601,a894)),f317(f162(x92601),f708(x92602,x92601))),f317(f162(x92601),f707(x92602,x92601))),f178(f905(x92601,a894)))+~P1(f317(f127(x92601),f709(x92602,x92601)))+~P1(f317(f127(f899(x92601)),x92602))+P1(f317(f127(x92601),f317(f132(f899(x92601),f899(x92601),f124(x92601),f103(x92601)),x92602))) % 199.88/201.00 [9323]~E(f317(f317(f92(f905(x93231,a894)),f317(f162(x93231),f708(x93232,x93231))),f317(f162(x93231),f707(x93232,x93231))),f178(f905(x93231,a894)))+~P1(f317(f127(f899(x93231)),x93232))+P1(f317(f127(x93231),f317(f132(f899(x93231),f899(x93231),f124(x93231),f103(x93231)),x93232)))+P1(f317(f317(f319(f899(x93231)),f709(x93232,x93231)),f317(f162(f899(x93231)),x93232))) % 199.88/201.00 [9611]E(x96111,f2(a1))+E(x96112,f2(a1))+E(f317(f317(f80(a1,f904(a1,a1)),f317(f317(a207,x96112),x96111)),f317(f317(f18(a1,a1,f904(a1,a1)),f317(f317(f8(a1,f905(a1,f904(a1,a1)),a1),f242(a1,a1)),f317(f30(a1),x96112))),f317(f30(a1),x96111))),f205(x96112,x96111))+P1(f317(f317(f226(a1),x96111),f2(a1))) % 199.88/201.00 [9168]~P150(x91682)+P149(x91681,f317(f317(f299(a893),f909(x91682)),f178(f905(a893,a894))))+~E(f317(f29(a893),x91681),f317(f317(f23(a898),f317(f29(a893),f317(f300(a896,a893,a908),a906))),a910))+~P1(f317(f317(f225(f905(a893,a894)),x91681),f317(f300(a896,a893,a908),a906))) % 199.88/201.00 [8344]~P93(x83442)+~P111(x83442)+~P1(f317(f317(f225(x83442),f317(f94(x83442),x83441)),f72(x83442)))+P1(f317(f317(f225(a1),x83441),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 199.88/201.00 [8345]~P93(x83452)+~P111(x83452)+~P1(f317(f317(f226(x83452),f317(f94(x83452),x83451)),f72(x83452)))+P1(f317(f317(f226(a1),x83451),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 199.88/201.00 [8616]~P111(x86161)+~P93(x86161)+P1(f317(f317(f225(x86161),f317(f94(x86161),x86162)),f72(x86161)))+~P1(f317(f317(f225(a1),x86162),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 199.88/201.00 [8617]~P111(x86171)+~P93(x86171)+P1(f317(f317(f226(x86171),f317(f94(x86171),x86172)),f72(x86171)))+~P1(f317(f317(f226(a1),x86172),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 199.88/201.00 [8828]~P93(x88282)+~P111(x88282)+~P1(f317(f317(f225(x88282),f72(x88282)),f317(f94(x88282),x88281)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x88281)) % 199.88/201.00 [8829]~P93(x88292)+~P111(x88292)+~P1(f317(f317(f226(x88292),f72(x88292)),f317(f94(x88292),x88291)))+P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x88291)) % 199.88/201.00 [9205]~P111(x92051)+~P93(x92051)+P1(f317(f317(f225(x92051),f72(x92051)),f317(f94(x92051),x92052)))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x92052)) % 199.88/201.00 [9206]~P111(x92061)+~P93(x92061)+P1(f317(f317(f226(x92061),f72(x92061)),f317(f94(x92061),x92062)))+~P1(f317(f317(f226(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x92062)) % 199.88/201.00 [9740]~P142(x97402)+E(x97401,f72(x97402))+E(x97401,f317(f73(x97402),f72(x97402)))+~E(f317(f317(f234(x97402),x97401),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f72(x97402)) % 199.88/201.00 [10007]~P93(x100071)+~P63(x100071)+~P1(f317(f317(f226(x100071),f2(x100071)),x100072))+P1(f317(f317(f226(x100071),f2(x100071)),f317(f317(f281(x100071),x100072),f317(f94(x100071),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/201.00 [10059]~P93(x100591)+~P63(x100591)+P1(f317(f317(f226(x100591),f2(x100591)),x100592))+~P1(f317(f317(f226(x100591),f2(x100591)),f317(f317(f281(x100591),x100592),f317(f94(x100591),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/201.00 [10353]~P128(x103532)+E(x103531,f2(a1))+P1(f317(f317(f226(a1),x103531),f2(a1)))+E(f317(f317(f247(a1,a1,x103532),f317(f317(f7(a1,f905(a1,f905(x103532,x103532)),f905(a1,x103532)),f317(f317(f8(f905(f905(x103532,x103532),x103532),f905(f905(a1,f905(x103532,x103532)),f905(a1,x103532)),a1),f8(f905(x103532,x103532),x103532,a1)),f317(f317(f8(x103532,f905(f905(x103532,x103532),x103532),a1),f80(x103532,x103532)),f93(x103532)))),f317(f317(f7(a1,f905(x103532,x103532),f905(x103532,x103532)),f317(f317(f8(f905(x103532,f905(x103532,x103532)),f905(f905(x103532,x103532),f905(x103532,x103532)),a1),f18(x103532,x103532,x103532)),f317(f317(f7(a1,f905(x103532,x103532),f905(x103532,f905(x103532,x103532))),f317(f317(f8(f905(x103532,f905(x103532,x103532)),f905(f905(x103532,x103532),f905(x103532,f905(x103532,x103532))),a1),f8(x103532,f905(x103532,x103532),x103532)),f317(f317(f8(a894,f905(x103532,f905(x103532,x103532)),a1),f86(x103532)),f317(f317(f7(a1,a1,a894),a314),f2(a1))))),f317(f317(f18(x103532,x103532,x103532),f74(x103532)),f5(x103532))))),f317(f317(f7(x103532,x103532,x103532),f317(f317(f8(x103532,f905(x103532,x103532),x103532),f74(x103532)),f317(f317(f18(x103532,x103532,x103532),f74(x103532)),f5(x103532)))),f72(x103532))))),f41(x103531,f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f93(x103532),x103531)) % 199.88/201.00 [5389]~P37(x53891,x53893)+~P51(x53891,x53893)+~P52(x53891,x53892,x53893)+P8(x53891,x53892,x53893) % 199.88/201.00 [4925]~P92(x49253)+~P93(x49253)+E(x49251,x49252)+~E(f317(f94(x49253),x49251),f317(f94(x49253),x49252)) % 199.88/201.00 [5399]~P49(x53991,x53992)+~P50(x53991,x53992)+P15(x53991,x53992)+~P1(f317(f317(x53992,x53993),x53993)) % 199.88/201.00 [5906]P15(x59062,x59061)+E(f317(x59061,f784(x59061)),f317(x59061,f785(x59061)))+P1(f317(f317(x59061,f784(x59061)),f785(x59061)))+~P1(f317(f317(x59061,x59063),x59063)) % 199.88/201.00 [6113]~P1(f317(x61131,x61132))+~P1(f317(x61131,x61133))+~P1(f317(f317(f225(a898),x61133),f621(x61132,x61131)))+P1(f317(x61131,f2(a898))) % 199.88/201.00 [6180]P15(x61801,x61802)+P1(f317(f317(x61802,f784(x61802)),f784(x61802)))+P1(f317(f317(x61802,f784(x61802)),f785(x61802)))+~P1(f317(f317(x61802,x61803),x61803)) % 199.88/201.00 [6181]P15(x61811,x61812)+P1(f317(f317(x61812,f784(x61812)),f785(x61812)))+P1(f317(f317(x61812,f785(x61812)),f785(x61812)))+~P1(f317(f317(x61812,x61813),x61813)) % 199.88/201.00 [6546]P148(x65462,x65461,x65463)+E(x65461,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f840(x65463,x65461,x65462)))+P1(f317(f317(f226(a1),x65461),f2(a1))) % 199.88/201.00 [6547]P147(x65472,x65471,x65473)+E(x65471,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f844(x65473,x65471,x65472)))+P1(f317(f317(f226(a1),x65471),f2(a1))) % 199.88/201.00 [6676]P147(x66761,x66762,x66763)+~P1(f317(x66761,x66763))+P1(f317(f317(f225(a1),f2(a1)),f844(x66763,x66762,x66761)))+P1(f317(f317(f226(a1),x66762),f2(a1))) % 199.88/201.00 [6702]P148(x67021,x67022,x67023)+P1(f317(f317(f225(a1),f2(a1)),f840(x67023,x67022,x67021)))+~P1(f317(x67021,f2(a1)))+P1(f317(f317(f226(a1),x67022),f2(a1))) % 199.88/201.00 [6734]P148(x67342,x67341,x67343)+E(x67341,f2(a1))+~P1(f317(x67342,f841(x67343,x67341,x67342)))+P1(f317(f317(f226(a1),x67341),f2(a1))) % 199.88/201.00 [6735]P147(x67352,x67351,x67353)+E(x67351,f2(a1))+~P1(f317(x67352,f844(x67353,x67351,x67352)))+P1(f317(f317(f226(a1),x67351),f2(a1))) % 199.88/201.00 [6837]~P108(x68371)+~P5(x68371)+~P1(f317(f317(f226(x68371),x68372),f31(x68371,x68373)))+P1(f317(f317(f226(x68371),x68372),f478(x68373,x68372,x68371))) % 199.88/201.00 [6847]P147(x68471,x68472,x68473)+~P1(f317(x68471,x68473))+~P1(f317(x68471,f844(x68473,x68472,x68471)))+P1(f317(f317(f226(a1),x68472),f2(a1))) % 199.88/201.00 [6879]P148(x68791,x68792,x68793)+~P1(f317(x68791,f841(x68793,x68792,x68791)))+~P1(f317(x68791,f2(a1)))+P1(f317(f317(f226(a1),x68792),f2(a1))) % 199.88/201.00 [7133]P148(x71332,x71331,x71333)+E(x71331,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f840(x71333,x71331,x71332)))+P1(f317(f317(f226(a1),x71331),f839(x71333,x71331,x71332))) % 199.88/201.00 [7134]P147(x71342,x71341,x71343)+E(x71341,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f844(x71343,x71341,x71342)))+P1(f317(f317(f226(a1),x71341),f843(x71343,x71341,x71342))) % 199.88/201.00 [7254]P147(x72541,x72542,x72543)+~P1(f317(x72541,x72543))+P1(f317(f317(f225(a1),f2(a1)),f844(x72543,x72542,x72541)))+P1(f317(f317(f226(a1),x72542),f843(x72543,x72542,x72541))) % 199.88/201.00 [7275]P148(x72751,x72752,x72753)+P1(f317(f317(f225(a1),f2(a1)),f840(x72753,x72752,x72751)))+P1(f317(f317(f226(a1),x72752),f839(x72753,x72752,x72751)))+~P1(f317(x72751,f2(a1))) % 199.88/201.00 [7306]P148(x73062,x73061,x73063)+E(x73061,f2(a1))+~P1(f317(x73062,f841(x73063,x73061,x73062)))+P1(f317(f317(f226(a1),x73061),f839(x73063,x73061,x73062))) % 199.88/201.00 [7307]P147(x73072,x73071,x73073)+E(x73071,f2(a1))+~P1(f317(x73072,f844(x73073,x73071,x73072)))+P1(f317(f317(f226(a1),x73071),f843(x73073,x73071,x73072))) % 199.88/201.00 [7351]P148(x73512,x73511,x73513)+E(x73511,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f840(x73513,x73511,x73512)))+~P1(f317(x73512,f842(x73513,x73511,x73512))) % 199.88/201.00 [7352]P147(x73522,x73521,x73523)+E(x73521,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f844(x73523,x73521,x73522)))+~P1(f317(x73522,f843(x73523,x73521,x73522))) % 199.88/201.00 [7449]P147(x74491,x74492,x74493)+~P1(f317(x74491,x74493))+~P1(f317(x74491,f844(x74493,x74492,x74491)))+P1(f317(f317(f226(a1),x74492),f843(x74493,x74492,x74491))) % 199.88/201.00 [7464]P148(x74641,x74642,x74643)+~P1(f317(x74641,f841(x74643,x74642,x74641)))+P1(f317(f317(f226(a1),x74642),f839(x74643,x74642,x74641)))+~P1(f317(x74641,f2(a1))) % 199.88/201.00 [7467]P147(x74671,x74672,x74673)+~P1(f317(x74671,x74673))+P1(f317(f317(f225(a1),f2(a1)),f844(x74673,x74672,x74671)))+~P1(f317(x74671,f843(x74673,x74672,x74671))) % 199.88/201.00 [7484]P148(x74841,x74842,x74843)+P1(f317(f317(f225(a1),f2(a1)),f840(x74843,x74842,x74841)))+~P1(f317(x74841,f842(x74843,x74842,x74841)))+~P1(f317(x74841,f2(a1))) % 199.88/201.00 [7507]P148(x75072,x75071,x75073)+E(x75071,f2(a1))+~P1(f317(x75072,f841(x75073,x75071,x75072)))+~P1(f317(x75072,f842(x75073,x75071,x75072))) % 199.88/201.00 [7508]P147(x75082,x75081,x75083)+E(x75081,f2(a1))+~P1(f317(x75082,f844(x75083,x75081,x75082)))+~P1(f317(x75082,f843(x75083,x75081,x75082))) % 199.88/201.00 [7592]P147(x75921,x75922,x75923)+~P1(f317(x75921,x75923))+~P1(f317(x75921,f844(x75923,x75922,x75921)))+~P1(f317(x75921,f843(x75923,x75922,x75921))) % 199.88/201.00 [7610]P148(x76101,x76102,x76103)+~P1(f317(x76101,f841(x76103,x76102,x76101)))+~P1(f317(x76101,f842(x76103,x76102,x76101)))+~P1(f317(x76101,f2(a1))) % 199.88/201.00 [7657]P148(x76572,x76571,x76573)+E(x76571,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f840(x76573,x76571,x76572)))+P1(f317(f317(f225(a1),f839(x76573,x76571,x76572)),f2(a1))) % 199.88/201.00 [7658]P147(x76582,x76581,x76583)+E(x76581,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f844(x76583,x76581,x76582)))+P1(f317(f317(f225(a1),f843(x76583,x76581,x76582)),f2(a1))) % 199.88/201.00 [7659]~P88(x76591)+~P1(f317(f317(f225(x76591),x76593),f2(x76591)))+~P1(f317(f317(f225(x76591),x76592),f2(x76591)))+P1(f317(f317(f225(x76591),f317(f317(f74(x76591),x76592),x76593)),f2(x76591))) % 199.88/201.00 [7660]~P128(x76601)+~P1(f317(f317(f319(x76601),x76603),f100(x76601)))+~P1(f317(f317(f319(x76601),x76602),f100(x76601)))+P1(f317(f317(f319(x76601),f317(f317(f23(x76601),x76602),x76603)),f100(x76601))) % 199.88/201.00 [7661]~P128(x76611)+~P1(f317(f317(f319(x76611),x76613),f100(x76611)))+~P1(f317(f317(f319(x76611),x76612),f100(x76611)))+P1(f317(f317(f319(x76611),f317(f317(f74(x76611),x76612),x76613)),f100(x76611))) % 199.88/201.00 [7662]~P144(x76621)+~P1(f317(f317(f319(x76621),x76623),f176(x76621)))+~P1(f317(f317(f319(x76621),x76622),f176(x76621)))+P1(f317(f317(f319(x76621),f317(f317(f74(x76621),x76622),x76623)),f176(x76621))) % 199.88/201.00 [7663]~P128(x76631)+~P1(f317(f317(f319(x76631),x76633),f100(x76631)))+~P1(f317(f317(f319(x76631),x76632),f100(x76631)))+P1(f317(f317(f319(x76631),f317(f317(f75(x76631),x76632),x76633)),f100(x76631))) % 199.88/201.00 [7664]~P144(x76641)+~P1(f317(f317(f319(x76641),x76643),f176(x76641)))+~P1(f317(f317(f319(x76641),x76642),f176(x76641)))+P1(f317(f317(f319(x76641),f317(f317(f75(x76641),x76642),x76643)),f176(x76641))) % 199.88/201.00 [7665]~P88(x76651)+~P1(f317(f317(f225(x76651),x76653),f2(x76651)))+~P1(f317(f317(f226(x76651),x76652),f2(x76651)))+P1(f317(f317(f226(x76651),f317(f317(f74(x76651),x76652),x76653)),f2(x76651))) % 199.88/201.00 [7666]~P88(x76661)+~P1(f317(f317(f225(x76661),x76662),f2(x76661)))+~P1(f317(f317(f226(x76661),x76663),f2(x76661)))+P1(f317(f317(f226(x76661),f317(f317(f74(x76661),x76662),x76663)),f2(x76661))) % 199.88/201.00 [7667]~P88(x76671)+~P1(f317(f317(f226(x76671),x76673),f2(x76671)))+~P1(f317(f317(f226(x76671),x76672),f2(x76671)))+P1(f317(f317(f226(x76671),f317(f317(f74(x76671),x76672),x76673)),f2(x76671))) % 199.88/201.00 [7694]P148(x76943,x76941,x76942)+E(x76941,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76941),f841(x76942,x76941,x76943))),f840(x76942,x76941,x76943)),x76942)+P1(f317(f317(f226(a1),x76941),f2(a1))) % 199.88/201.00 [7695]P147(x76953,x76951,x76952)+E(x76951,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76951),f845(x76952,x76951,x76953))),f844(x76952,x76951,x76953)),x76952)+P1(f317(f317(f226(a1),x76951),f2(a1))) % 199.88/201.00 [7778]P147(x77781,x77782,x77783)+~P1(f317(x77781,x77783))+P1(f317(f317(f225(a1),f2(a1)),f844(x77783,x77782,x77781)))+P1(f317(f317(f225(a1),f843(x77783,x77782,x77781)),f2(a1))) % 199.88/201.00 [7809]P148(x78091,x78092,x78093)+P1(f317(f317(f225(a1),f2(a1)),f840(x78093,x78092,x78091)))+~P1(f317(x78091,f2(a1)))+P1(f317(f317(f225(a1),f839(x78093,x78092,x78091)),f2(a1))) % 199.88/201.00 [7818]P147(x78183,x78181,x78182)+~P1(f317(x78183,x78182))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78181),f845(x78182,x78181,x78183))),f844(x78182,x78181,x78183)),x78182)+P1(f317(f317(f226(a1),x78181),f2(a1))) % 199.88/201.00 [7824]P148(x78242,x78241,x78243)+E(x78241,f2(a1))+~P1(f317(x78242,f841(x78243,x78241,x78242)))+P1(f317(f317(f225(a1),f839(x78243,x78241,x78242)),f2(a1))) % 199.88/201.00 [7825]P147(x78252,x78251,x78253)+E(x78251,f2(a1))+~P1(f317(x78252,f844(x78253,x78251,x78252)))+P1(f317(f317(f225(a1),f843(x78253,x78251,x78252)),f2(a1))) % 199.88/201.00 [7830]P148(x78303,x78301,x78302)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78301),f841(x78302,x78301,x78303))),f840(x78302,x78301,x78303)),x78302)+~P1(f317(x78303,f2(a1)))+P1(f317(f317(f226(a1),x78301),f2(a1))) % 199.88/201.00 [7887]P147(x78871,x78872,x78873)+~P1(f317(x78871,x78873))+~P1(f317(x78871,f844(x78873,x78872,x78871)))+P1(f317(f317(f225(a1),f843(x78873,x78872,x78871)),f2(a1))) % 199.88/201.00 [7891]P148(x78911,x78912,x78913)+~P1(f317(x78911,f841(x78913,x78912,x78911)))+~P1(f317(x78911,f2(a1)))+P1(f317(f317(f225(a1),f839(x78913,x78912,x78911)),f2(a1))) % 199.88/201.00 [7959]~P125(x79591)+~P1(f317(f317(f225(x79591),f317(f317(f75(x79591),x79593),x79592)),f2(x79591)))+P1(f317(f317(f225(x79591),x79592),f2(x79591)))+P1(f317(f317(f225(x79591),x79593),f2(x79591))) % 199.88/201.00 [7960]~P63(x79601)+~P1(f317(f317(f225(x79601),f317(f317(f281(x79601),x79603),x79602)),f2(x79601)))+P1(f317(f317(f225(x79601),x79602),f2(x79601)))+P1(f317(f317(f225(x79601),x79603),f2(x79601))) % 199.88/201.00 [7961]~P63(x79611)+~P1(f317(f317(f226(x79611),f317(f317(f281(x79611),x79613),x79612)),f2(x79611)))+P1(f317(f317(f226(x79611),x79612),f2(x79611)))+P1(f317(f317(f226(x79611),x79613),f2(x79611))) % 199.88/201.00 [8074]P148(x80743,x80741,x80742)+E(x80741,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80741),f841(x80742,x80741,x80743))),f840(x80742,x80741,x80743)),x80742)+P1(f317(f317(f226(a1),x80741),f839(x80742,x80741,x80743))) % 199.88/201.00 [8075]P147(x80753,x80751,x80752)+E(x80751,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80751),f845(x80752,x80751,x80753))),f844(x80752,x80751,x80753)),x80752)+P1(f317(f317(f226(a1),x80751),f843(x80752,x80751,x80753))) % 199.88/201.00 [8087]P148(x80873,x80871,x80872)+E(x80871,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80871),f842(x80872,x80871,x80873))),f839(x80872,x80871,x80873)),x80872)+P1(f317(f317(f225(a1),f2(a1)),f840(x80872,x80871,x80873))) % 199.88/201.00 [8088]P147(x80883,x80881,x80882)+E(x80881,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80881),f847(x80882,x80881,x80883))),f843(x80882,x80881,x80883)),x80882)+P1(f317(f317(f225(a1),f2(a1)),f844(x80882,x80881,x80883))) % 199.88/201.00 [8130]P147(x81303,x81301,x81302)+~P1(f317(x81303,x81302))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81301),f845(x81302,x81301,x81303))),f844(x81302,x81301,x81303)),x81302)+P1(f317(f317(f226(a1),x81301),f843(x81302,x81301,x81303))) % 199.88/201.00 [8139]P148(x81393,x81391,x81392)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81391),f841(x81392,x81391,x81393))),f840(x81392,x81391,x81393)),x81392)+P1(f317(f317(f226(a1),x81391),f839(x81392,x81391,x81393)))+~P1(f317(x81393,f2(a1))) % 199.88/201.00 [8145]P147(x81453,x81451,x81452)+~P1(f317(x81453,x81452))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81451),f847(x81452,x81451,x81453))),f843(x81452,x81451,x81453)),x81452)+P1(f317(f317(f225(a1),f2(a1)),f844(x81452,x81451,x81453))) % 199.88/201.00 [8151]P148(x81513,x81511,x81512)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81511),f842(x81512,x81511,x81513))),f839(x81512,x81511,x81513)),x81512)+P1(f317(f317(f225(a1),f2(a1)),f840(x81512,x81511,x81513)))+~P1(f317(x81513,f2(a1))) % 199.88/201.00 [8162]P148(x81623,x81621,x81622)+E(x81621,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81621),f841(x81622,x81621,x81623))),f840(x81622,x81621,x81623)),x81622)+~P1(f317(x81623,f842(x81622,x81621,x81623))) % 199.88/201.00 [8163]P147(x81633,x81631,x81632)+E(x81631,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81631),f845(x81632,x81631,x81633))),f844(x81632,x81631,x81633)),x81632)+~P1(f317(x81633,f843(x81632,x81631,x81633))) % 199.88/201.00 [8164]P148(x81643,x81641,x81642)+E(x81641,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81641),f842(x81642,x81641,x81643))),f839(x81642,x81641,x81643)),x81642)+~P1(f317(x81643,f841(x81642,x81641,x81643))) % 199.88/201.00 [8165]P147(x81653,x81651,x81652)+E(x81651,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81651),f847(x81652,x81651,x81653))),f843(x81652,x81651,x81653)),x81652)+~P1(f317(x81653,f844(x81652,x81651,x81653))) % 199.88/201.00 [8224]P147(x82243,x82241,x82242)+~P1(f317(x82243,x82242))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82241),f845(x82242,x82241,x82243))),f844(x82242,x82241,x82243)),x82242)+~P1(f317(x82243,f843(x82242,x82241,x82243))) % 199.88/201.00 [8225]P147(x82253,x82251,x82252)+~P1(f317(x82253,x82252))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82251),f847(x82252,x82251,x82253))),f843(x82252,x82251,x82253)),x82252)+~P1(f317(x82253,f844(x82252,x82251,x82253))) % 199.88/201.00 [8238]P148(x82383,x82381,x82382)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82381),f841(x82382,x82381,x82383))),f840(x82382,x82381,x82383)),x82382)+~P1(f317(x82383,f842(x82382,x82381,x82383)))+~P1(f317(x82383,f2(a1))) % 199.88/201.00 [8239]P148(x82393,x82391,x82392)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82391),f842(x82392,x82391,x82393))),f839(x82392,x82391,x82393)),x82392)+~P1(f317(x82393,f841(x82392,x82391,x82393)))+~P1(f317(x82393,f2(a1))) % 199.88/201.00 [8337]P148(x83373,x83371,x83372)+E(x83371,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83371),f841(x83372,x83371,x83373))),f840(x83372,x83371,x83373)),x83372)+P1(f317(f317(f225(a1),f839(x83372,x83371,x83373)),f2(a1))) % 199.88/201.00 [8338]P147(x83383,x83381,x83382)+E(x83381,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83381),f845(x83382,x83381,x83383))),f844(x83382,x83381,x83383)),x83382)+P1(f317(f317(f225(a1),f843(x83382,x83381,x83383)),f2(a1))) % 199.88/201.00 [8378]P147(x83783,x83781,x83782)+~P1(f317(x83783,x83782))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83781),f845(x83782,x83781,x83783))),f844(x83782,x83781,x83783)),x83782)+P1(f317(f317(f225(a1),f843(x83782,x83781,x83783)),f2(a1))) % 199.88/201.00 [8383]P148(x83833,x83831,x83832)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83831),f841(x83832,x83831,x83833))),f840(x83832,x83831,x83833)),x83832)+~P1(f317(x83833,f2(a1)))+P1(f317(f317(f225(a1),f839(x83832,x83831,x83833)),f2(a1))) % 199.88/201.00 [8518]P148(x85183,x85181,x85182)+E(x85181,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85181),f842(x85182,x85181,x85183))),f839(x85182,x85181,x85183)),x85182)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85181),f841(x85182,x85181,x85183))),f840(x85182,x85181,x85183)),x85182) % 199.88/201.00 [8519]P147(x85193,x85191,x85192)+E(x85191,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85191),f847(x85192,x85191,x85193))),f843(x85192,x85191,x85193)),x85192)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85191),f845(x85192,x85191,x85193))),f844(x85192,x85191,x85193)),x85192) % 199.88/201.00 [8539]P147(x85393,x85391,x85392)+~P1(f317(x85393,x85392))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85391),f847(x85392,x85391,x85393))),f843(x85392,x85391,x85393)),x85392)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85391),f845(x85392,x85391,x85393))),f844(x85392,x85391,x85393)),x85392) % 199.88/201.00 [8550]P148(x85503,x85501,x85502)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85501),f842(x85502,x85501,x85503))),f839(x85502,x85501,x85503)),x85502)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85501),f841(x85502,x85501,x85503))),f840(x85502,x85501,x85503)),x85502)+~P1(f317(x85503,f2(a1))) % 199.88/201.00 [9213]~P125(x92131)+~E(x92133,f2(x92131))+~E(x92132,f2(x92131))+P1(f317(f317(f225(x92131),f317(f317(f74(x92131),f317(f317(f75(x92131),x92132),x92132)),f317(f317(f75(x92131),x92133),x92133))),f2(x92131))) % 199.88/201.00 [10294]~P111(x102941)+~E(x102943,f2(x102941))+~E(x102942,f2(x102941))+P1(f317(f317(f225(x102941),f317(f317(f74(x102941),f317(f317(f234(x102941),x102942),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102941),x102943),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))),f2(x102941))) % 199.88/201.00 [4873]~E(x48733,x48731)+~P122(x48732)+E(x48731,f2(x48732))+E(f317(f317(f281(x48732),x48733),x48731),f72(x48732)) % 199.88/201.00 [4926]~P99(x49261)+~E(x49263,f178(x49261))+~E(x49262,f178(x49261))+E(f317(f317(f91(x49261),x49262),x49263),f178(x49261)) % 199.88/201.00 [4927]~P102(x49271)+~E(x49273,f232(x49271))+~E(x49272,f232(x49271))+E(f317(f317(f92(x49271),x49272),x49273),f232(x49271)) % 199.88/201.00 [5024]~P122(x50243)+E(x50241,x50242)+E(x50242,f2(x50243))+~E(f317(f317(f281(x50243),x50241),x50242),f72(x50243)) % 199.88/201.00 [5042]~P129(x50422)+E(x50421,f2(x50422))+E(x50423,f2(x50422))+~E(f317(f317(f75(x50422),x50423),x50421),f2(x50422)) % 199.88/201.00 [5043]~P141(x50432)+E(x50431,f2(x50432))+E(x50433,f2(x50432))+~E(f317(f317(f75(x50432),x50433),x50431),f2(x50432)) % 199.88/201.00 [5418]~P120(x54183)+E(x54181,x54182)+E(x54181,f317(f73(x54183),x54182))+~E(f317(f317(f75(x54183),x54181),x54181),f317(f317(f75(x54183),x54182),x54182)) % 199.88/201.00 [5457]~P96(x54571)+E(f317(f73(x54571),x54572),x54573)+~E(f317(f317(f91(x54571),x54572),x54573),f232(x54571))+~E(f317(f317(f92(x54571),x54572),x54573),f178(x54571)) % 199.88/201.00 [5538]~P111(x55383)+E(x55381,x55382)+P1(f317(f317(f226(x55383),x55382),x55381))+P1(f317(f317(f226(x55383),x55381),x55382)) % 199.88/201.00 [5539]~P108(x55393)+E(x55391,x55392)+P1(f317(f317(f226(x55393),x55392),x55391))+P1(f317(f317(f226(x55393),x55391),x55392)) % 199.88/201.00 [5540]~E(x55402,x55403)+~P108(x55401)+P1(f317(f317(f226(x55401),x55402),x55403))+P1(f317(f317(f225(x55401),x55402),x55403)) % 199.88/201.00 [5801]~P109(x58013)+E(x58011,x58012)+~P1(f317(f317(f225(x58013),x58012),x58011))+P1(f317(f317(f226(x58013),x58012),x58011)) % 199.88/201.00 [5803]~P108(x58033)+E(x58031,x58032)+~P1(f317(f317(f225(x58033),x58031),x58032))+P1(f317(f317(f226(x58033),x58031),x58032)) % 199.88/201.00 [5809]~P109(x58093)+E(x58091,x58092)+~P1(f317(f317(f225(x58093),x58091),x58092))+P1(f317(f317(f226(x58093),x58091),x58092)) % 199.88/201.00 [5923]P147(x59231,x59232,x59233)+~P1(f317(x59231,x59233))+P1(f317(f317(f226(a1),x59232),f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x59232)) % 199.88/201.00 [5977]P148(x59771,x59772,x59773)+~P1(f317(x59771,f2(a1)))+P1(f317(f317(f226(a1),x59772),f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x59772)) % 199.88/201.00 [5982]~P98(x59821)+E(f317(f317(f91(x59821),x59822),f10(x59821,x59823)),x59822)+~P1(f317(f28(x59821),x59823))+~P1(f317(f317(f319(x59821),x59822),x59823)) % 199.88/201.00 [5983]~P98(x59831)+E(f317(f317(f92(x59831),x59832),f13(x59831,x59833)),x59832)+~P1(f317(f28(x59831),x59833))+~P1(f317(f317(f319(x59831),x59832),x59833)) % 199.88/201.00 [6022]~P108(x60221)+E(f317(f317(f229(x60221),x60222),f14(x60221,x60223)),f14(x60221,x60223))+~P1(f317(f28(x60221),x60223))+~P1(f317(f317(f319(x60221),x60222),x60223)) % 199.88/201.00 [6023]~P108(x60231)+E(f317(f317(f224(x60231),x60232),f15(x60231,x60233)),f15(x60231,x60233))+~P1(f317(f28(x60231),x60233))+~P1(f317(f317(f319(x60231),x60232),x60233)) % 199.88/201.00 [6024]~P98(x60241)+E(f317(f317(f91(x60241),x60242),f13(x60241,x60243)),f13(x60241,x60243))+~P1(f317(f28(x60241),x60243))+~P1(f317(f317(f319(x60241),x60242),x60243)) % 199.88/201.00 [6025]~P98(x60251)+E(f317(f317(f92(x60251),x60252),f10(x60251,x60253)),f10(x60251,x60253))+~P1(f317(f28(x60251),x60253))+~P1(f317(f317(f319(x60251),x60252),x60253)) % 199.88/201.00 [6064]E(x60641,x60642)+~P109(x60643)+~P1(f317(f317(f225(x60643),x60642),x60641))+~P1(f317(f317(f225(x60643),x60641),x60642)) % 199.88/201.00 [6209]~P65(x62091)+P1(f317(f317(f226(x62091),x62093),x62092))+~P1(f317(f317(f225(x62091),x62093),x62092))+P1(f317(f317(f225(x62091),x62092),x62093)) % 199.88/201.00 [6237]~P108(x62371)+~P1(f317(f28(x62371),x62373))+P1(f317(f317(f225(x62371),x62372),f15(x62371,x62373)))+~P1(f317(f317(f319(x62371),x62372),x62373)) % 199.88/201.00 [6286]~P108(x62861)+E(f317(f317(f229(x62861),x62862),f12(x62861,f224(x62861),x62863)),x62862)+~P1(f317(f28(x62861),x62863))+~P1(f317(f317(f319(x62861),x62862),x62863)) % 199.88/201.00 [6287]~P108(x62871)+E(f317(f317(f224(x62871),x62872),f11(x62871,f229(x62871),x62873)),x62872)+~P1(f317(f28(x62871),x62873))+~P1(f317(f317(f319(x62871),x62872),x62873)) % 199.88/201.00 [6433]E(x64331,x64332)+~E(f317(f317(f23(a898),x64331),x64333),f317(f317(f23(a898),x64332),x64333))+~P1(f317(f317(f225(a898),x64333),x64331))+~P1(f317(f317(f225(a898),x64333),x64332)) % 199.88/201.00 [6460]~P108(x64601)+~P1(f317(f28(x64601),x64602))+~P1(f317(f317(f319(x64601),x64603),x64602))+P1(f317(f317(f225(x64601),f14(x64601,x64602)),x64603)) % 199.88/201.00 [6525]P148(x65252,x65251,x65253)+E(x65251,f2(a1))+P1(f317(f317(f226(a1),x65251),f839(x65253,x65251,x65252)))+P1(f317(f317(f226(a1),f2(a1)),x65251)) % 199.88/201.00 [6526]P147(x65262,x65261,x65263)+E(x65261,f2(a1))+P1(f317(f317(f226(a1),x65261),f843(x65263,x65261,x65262)))+P1(f317(f317(f226(a1),f2(a1)),x65261)) % 199.88/201.00 [6527]~P108(x65271)+E(f317(f317(f229(x65271),x65272),f11(x65271,f229(x65271),x65273)),f11(x65271,f229(x65271),x65273))+~P1(f317(f28(x65271),x65273))+~P1(f317(f317(f319(x65271),x65272),x65273)) % 199.88/201.00 [6528]~P108(x65281)+E(f317(f317(f224(x65281),x65282),f12(x65281,f224(x65281),x65283)),f12(x65281,f224(x65281),x65283))+~P1(f317(f28(x65281),x65283))+~P1(f317(f317(f319(x65281),x65282),x65283)) % 199.88/201.00 [6533]~P1(f317(x65331,x65332))+P1(f317(x65331,f564(x65332,x65331,x65333)))+P1(f317(x65331,f2(a898)))+~P1(f317(f317(f226(a898),x65332),x65333)) % 199.88/201.00 [6594]~P1(f317(x65941,x65942))+~P1(f317(f28(x65943),x65942))+P1(f317(x65941,f378(x65941,x65942,x65943)))+P1(f317(x65941,f178(f905(x65943,a894)))) % 199.88/201.00 [6607]~P111(x66071)+~P93(x66071)+P1(f317(f317(f225(x66071),f317(f94(x66071),x66072)),f317(f94(x66071),x66073)))+~P1(f317(f317(f225(a1),x66072),x66073)) % 199.88/201.00 [6608]~P111(x66081)+~P93(x66081)+P1(f317(f317(f226(x66081),f317(f94(x66081),x66082)),f317(f94(x66081),x66083)))+~P1(f317(f317(f226(a1),x66082),x66083)) % 199.88/201.00 [6611]~P1(f317(x66111,x66113))+~P1(f317(f28(x66112),x66113))+P1(f317(f28(x66112),f378(x66111,x66113,x66112)))+P1(f317(x66111,f178(f905(x66112,a894)))) % 199.88/201.00 [6645]P147(x66451,x66452,x66453)+~P1(f317(x66451,x66453))+P1(f317(f317(f226(a1),x66452),f843(x66453,x66452,x66451)))+P1(f317(f317(f226(a1),f2(a1)),x66452)) % 199.88/201.00 [6683]P148(x66831,x66832,x66833)+P1(f317(f317(f226(a1),x66832),f839(x66833,x66832,x66831)))+~P1(f317(x66831,f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x66832)) % 199.88/201.00 [6713]~P107(x67131)+~P94(x67131)+E(f317(f317(f229(x67131),f317(f94(x67131),x67132)),f317(f94(x67131),x67133)),f317(f94(x67131),x67133))+P1(f317(f317(f225(x67131),f317(f94(x67131),x67132)),f317(f94(x67131),x67133))) % 199.88/201.00 [6714]~P107(x67141)+~P94(x67141)+E(f317(f317(f224(x67141),f317(f94(x67141),x67142)),f317(f94(x67141),x67143)),f317(f94(x67141),x67142))+P1(f317(f317(f225(x67141),f317(f94(x67141),x67142)),f317(f94(x67141),x67143))) % 199.88/201.00 [6774]P148(x67742,x67741,x67743)+E(x67741,f2(a1))+~P1(f317(x67742,f842(x67743,x67741,x67742)))+P1(f317(f317(f226(a1),f2(a1)),x67741)) % 199.88/201.00 [6775]P147(x67752,x67751,x67753)+E(x67751,f2(a1))+~P1(f317(x67752,f843(x67753,x67751,x67752)))+P1(f317(f317(f226(a1),f2(a1)),x67751)) % 199.88/201.00 [6779]P1(f317(x67791,x67792))+~P1(f317(f28(x67793),x67792))+P1(f317(x67791,f429(x67791,x67792,x67793)))+~P1(f317(x67791,f178(f905(x67793,a894)))) % 199.88/201.00 [6800]P1(f317(x68001,x68002))+P1(f317(f28(x68003),f429(x68001,x68002,x68003)))+~P1(f317(f28(x68003),x68002))+~P1(f317(x68001,f178(f905(x68003,a894)))) % 199.88/201.00 [6868]P147(x68681,x68682,x68683)+~P1(f317(x68681,x68683))+~P1(f317(x68681,f843(x68683,x68682,x68681)))+P1(f317(f317(f226(a1),f2(a1)),x68682)) % 199.88/201.00 [6898]P148(x68981,x68982,x68983)+~P1(f317(x68981,f842(x68983,x68982,x68981)))+~P1(f317(x68981,f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x68982)) % 199.88/201.00 [7009]~P93(x70093)+~P111(x70093)+~P1(f317(f317(f225(x70093),f317(f94(x70093),x70091)),f317(f94(x70093),x70092)))+P1(f317(f317(f225(a1),x70091),x70092)) % 199.88/201.01 [7010]~P93(x70103)+~P111(x70103)+~P1(f317(f317(f226(x70103),f317(f94(x70103),x70101)),f317(f94(x70103),x70102)))+P1(f317(f317(f226(a1),x70101),x70102)) % 199.88/201.01 [7038]~P108(x70381)+~P13(x70381,x70383)+P13(x70381,f317(f317(f141(x70381),x70382),x70383))+~P1(f317(f317(f225(x70381),x70382),f688(x70383,x70382,x70381))) % 199.88/201.01 [7039]~P108(x70391)+~P13(x70391,x70393)+P13(x70391,f317(f317(f141(x70391),x70392),x70393))+~P1(f317(f317(f225(x70391),x70392),f690(x70393,x70392,x70391))) % 199.88/201.01 [7040]~P108(x70401)+~P13(x70401,x70403)+P13(x70401,f317(f317(f141(x70401),x70402),x70403))+~P1(f317(f317(f225(x70401),x70402),f729(x70402,x70403,x70401))) % 199.88/201.01 [7127]P148(x71272,x71271,x71273)+E(x71271,f2(a1))+P1(f317(f317(f226(a1),x71271),f2(a1)))+P1(f317(f317(f226(a1),f840(x71273,x71271,x71272)),x71271)) % 199.88/201.01 [7128]P147(x71282,x71281,x71283)+E(x71281,f2(a1))+P1(f317(f317(f226(a1),x71281),f2(a1)))+P1(f317(f317(f226(a1),f844(x71283,x71281,x71282)),x71281)) % 199.88/201.01 [7164]P148(x71642,x71641,x71643)+E(x71641,f2(a1))+P1(f317(f317(f225(a1),f839(x71643,x71641,x71642)),f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x71641)) % 199.88/201.01 [7165]P147(x71652,x71651,x71653)+E(x71651,f2(a1))+P1(f317(f317(f225(a1),f843(x71653,x71651,x71652)),f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x71651)) % 199.88/201.01 [7190]~P108(x71901)+~P13(x71901,x71903)+E(f317(f317(f138(x71901,x71901,f5(x71901)),x71902),f160(x71901,x71902,x71903)),x71903)+~P1(f317(f317(f319(x71901),x71902),f317(f162(x71901),x71903))) % 199.88/201.01 [7237]P147(x72371,x72372,x72373)+~P1(f317(x72371,x72373))+P1(f317(f317(f226(a1),x72372),f2(a1)))+P1(f317(f317(f226(a1),f844(x72373,x72372,x72371)),x72372)) % 199.88/201.01 [7243]~P107(x72431)+~P94(x72431)+E(f317(f317(f229(x72431),f317(f94(x72431),x72432)),f317(f94(x72431),x72433)),f317(f94(x72431),x72432))+~P1(f317(f317(f225(x72431),f317(f94(x72431),x72432)),f317(f94(x72431),x72433))) % 199.88/201.01 [7244]~P107(x72441)+~P94(x72441)+E(f317(f317(f224(x72441),f317(f94(x72441),x72442)),f317(f94(x72441),x72443)),f317(f94(x72441),x72443))+~P1(f317(f317(f225(x72441),f317(f94(x72441),x72442)),f317(f94(x72441),x72443))) % 199.88/201.01 [7258]P148(x72581,x72582,x72583)+~P1(f317(x72581,f2(a1)))+P1(f317(f317(f226(a1),x72582),f2(a1)))+P1(f317(f317(f226(a1),f840(x72583,x72582,x72581)),x72582)) % 199.88/201.01 [7268]P147(x72681,x72682,x72683)+~P1(f317(x72681,x72683))+P1(f317(f317(f225(a1),f843(x72683,x72682,x72681)),f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x72682)) % 199.88/201.01 [7292]P148(x72921,x72922,x72923)+~P1(f317(x72921,f2(a1)))+P1(f317(f317(f225(a1),f839(x72923,x72922,x72921)),f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x72922)) % 199.88/201.01 [7318]~P1(f317(x73181,x73182))+P1(f317(x73181,f2(a898)))+~P1(f317(f317(f226(a898),x73182),x73183))+P1(f317(f317(f226(a898),f564(x73182,x73181,x73183)),x73183)) % 199.88/201.01 [7335]~P108(x73351)+~P13(x73351,x73353)+P13(x73351,f317(f317(f141(x73351),x73352),x73353))+P1(f317(f317(f319(x73351),f688(x73353,x73352,x73351)),f317(f162(x73351),x73353))) % 199.88/201.01 [7336]~P108(x73361)+~P13(x73361,x73363)+P13(x73361,f317(f317(f141(x73361),x73362),x73363))+P1(f317(f317(f319(x73361),f690(x73363,x73362,x73361)),f317(f162(x73361),x73363))) % 199.88/201.01 [7337]~P108(x73371)+~P13(x73371,x73373)+P13(x73371,f317(f317(f141(x73371),x73372),x73373))+P1(f317(f317(f319(x73371),f729(x73372,x73373,x73371)),f317(f162(x73371),x73373))) % 199.88/201.01 [7453]~P108(x74531)+~P5(x74531)+~P1(f317(f317(f226(x74531),x74533),f31(x74531,x74532)))+P1(f317(f317(f319(x74531),f478(x74532,x74533,x74531)),x74532)) % 199.88/201.01 [7608]~P108(x76081)+~P5(x76081)+~P1(f317(f317(f226(x76081),f32(x76081,x76083)),x76082))+P1(f317(f317(f319(x76081),f480(x76082,x76083,x76081)),x76083)) % 199.88/201.01 [7609]~P108(x76091)+~P5(x76091)+~P1(f317(f317(f226(x76091),f32(x76091,x76093)),x76092))+P1(f317(f317(f226(x76091),f480(x76092,x76093,x76091)),x76092)) % 199.88/201.01 [7622]P148(x76222,x76221,x76223)+E(x76221,f2(a1))+P1(f317(f317(f226(a1),x76221),f839(x76223,x76221,x76222)))+P1(f317(f317(f226(a1),f840(x76223,x76221,x76222)),x76221)) % 199.88/201.01 [7623]P147(x76232,x76231,x76233)+E(x76231,f2(a1))+P1(f317(f317(f226(a1),x76231),f843(x76233,x76231,x76232)))+P1(f317(f317(f226(a1),f844(x76233,x76231,x76232)),x76231)) % 199.88/201.01 [7717]P148(x77173,x77171,x77172)+E(x77171,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77171),f842(x77172,x77171,x77173))),f839(x77172,x77171,x77173)),x77172)+P1(f317(f317(f226(a1),f2(a1)),x77171)) % 199.88/201.01 [7718]P147(x77183,x77181,x77182)+E(x77181,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77181),f847(x77182,x77181,x77183))),f843(x77182,x77181,x77183)),x77182)+P1(f317(f317(f226(a1),f2(a1)),x77181)) % 199.88/201.01 [7721]~P135(x77211)+~P1(f317(f317(f225(x77211),x77213),f2(x77211)))+P1(f317(f317(f225(x77211),f317(f317(f75(x77211),x77212),x77213)),f2(x77211)))+~P1(f317(f317(f225(x77211),f2(x77211)),x77212)) % 199.88/201.01 [7723]~P135(x77231)+~P1(f317(f317(f225(x77231),x77232),f2(x77231)))+P1(f317(f317(f225(x77231),f317(f317(f75(x77231),x77232),x77233)),f2(x77231)))+~P1(f317(f317(f225(x77231),f2(x77231)),x77233)) % 199.88/201.01 [7724]~P125(x77241)+~P1(f317(f317(f225(x77241),x77243),f2(x77241)))+P1(f317(f317(f225(x77241),f317(f317(f75(x77241),x77242),x77243)),f2(x77241)))+~P1(f317(f317(f225(x77241),f2(x77241)),x77242)) % 199.88/201.01 [7725]~P125(x77251)+~P1(f317(f317(f225(x77251),x77252),f2(x77251)))+P1(f317(f317(f225(x77251),f317(f317(f75(x77251),x77252),x77253)),f2(x77251)))+~P1(f317(f317(f225(x77251),f2(x77251)),x77253)) % 199.88/201.01 [7726]~P64(x77261)+~P1(f317(f317(f225(x77261),x77262),f2(x77261)))+P1(f317(f317(f225(x77261),f317(f317(f281(x77261),x77262),x77263)),f2(x77261)))+~P1(f317(f317(f226(x77261),f2(x77261)),x77263)) % 199.88/201.01 [7727]~P64(x77271)+~P1(f317(f317(f226(x77271),x77273),f2(x77271)))+P1(f317(f317(f225(x77271),f317(f317(f281(x77271),x77272),x77273)),f2(x77271)))+~P1(f317(f317(f225(x77271),f2(x77271)),x77272)) % 199.88/201.01 [7728]~P63(x77281)+~P1(f317(f317(f225(x77281),x77283),f2(x77281)))+P1(f317(f317(f225(x77281),f317(f317(f281(x77281),x77282),x77283)),f2(x77281)))+~P1(f317(f317(f225(x77281),f2(x77281)),x77282)) % 199.88/201.01 [7729]~P63(x77291)+~P1(f317(f317(f225(x77291),x77292),f2(x77291)))+P1(f317(f317(f225(x77291),f317(f317(f281(x77291),x77292),x77293)),f2(x77291)))+~P1(f317(f317(f225(x77291),f2(x77291)),x77293)) % 199.88/201.01 [7731]~P131(x77311)+~P1(f317(f317(f226(x77311),x77313),f2(x77311)))+P1(f317(f317(f226(x77311),f317(f317(f75(x77311),x77312),x77313)),f2(x77311)))+~P1(f317(f317(f226(x77311),f2(x77311)),x77312)) % 199.88/201.01 [7732]~P131(x77321)+~P1(f317(f317(f226(x77321),x77322),f2(x77321)))+P1(f317(f317(f226(x77321),f317(f317(f75(x77321),x77322),x77323)),f2(x77321)))+~P1(f317(f317(f226(x77321),f2(x77321)),x77323)) % 199.88/201.01 [7733]~P64(x77331)+~P1(f317(f317(f226(x77331),x77333),f2(x77331)))+P1(f317(f317(f226(x77331),f317(f317(f281(x77331),x77332),x77333)),f2(x77331)))+~P1(f317(f317(f226(x77331),f2(x77331)),x77332)) % 199.88/201.01 [7734]~P64(x77341)+~P1(f317(f317(f226(x77341),x77342),f2(x77341)))+P1(f317(f317(f226(x77341),f317(f317(f281(x77341),x77342),x77343)),f2(x77341)))+~P1(f317(f317(f226(x77341),f2(x77341)),x77343)) % 199.88/201.01 [7735]~P63(x77351)+~P1(f317(f317(f226(x77351),x77353),f2(x77351)))+P1(f317(f317(f226(x77351),f317(f317(f281(x77351),x77352),x77353)),f2(x77351)))+~P1(f317(f317(f226(x77351),f2(x77351)),x77352)) % 199.88/201.01 [7736]~P63(x77361)+~P1(f317(f317(f226(x77361),x77362),f2(x77361)))+P1(f317(f317(f226(x77361),f317(f317(f281(x77361),x77362),x77363)),f2(x77361)))+~P1(f317(f317(f226(x77361),f2(x77361)),x77363)) % 199.88/201.01 [7751]P147(x77511,x77512,x77513)+~P1(f317(x77511,x77513))+P1(f317(f317(f226(a1),x77512),f843(x77513,x77512,x77511)))+P1(f317(f317(f226(a1),f844(x77513,x77512,x77511)),x77512)) % 199.88/201.01 [7764]P148(x77641,x77642,x77643)+P1(f317(f317(f226(a1),x77642),f839(x77643,x77642,x77641)))+~P1(f317(x77641,f2(a1)))+P1(f317(f317(f226(a1),f840(x77643,x77642,x77641)),x77642)) % 199.88/201.01 [7816]P148(x78162,x78161,x78163)+E(x78161,f2(a1))+~P1(f317(x78162,f842(x78163,x78161,x78162)))+P1(f317(f317(f226(a1),f840(x78163,x78161,x78162)),x78161)) % 199.88/201.01 [7817]P147(x78172,x78171,x78173)+E(x78171,f2(a1))+~P1(f317(x78172,f843(x78173,x78171,x78172)))+P1(f317(f317(f226(a1),f844(x78173,x78171,x78172)),x78171)) % 199.88/201.01 [7827]P147(x78273,x78271,x78272)+~P1(f317(x78273,x78272))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78271),f847(x78272,x78271,x78273))),f843(x78272,x78271,x78273)),x78272)+P1(f317(f317(f226(a1),f2(a1)),x78271)) % 199.88/201.01 [7842]P148(x78423,x78421,x78422)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78421),f842(x78422,x78421,x78423))),f839(x78422,x78421,x78423)),x78422)+~P1(f317(x78423,f2(a1)))+P1(f317(f317(f226(a1),f2(a1)),x78421)) % 199.88/201.01 [7870]~P1(f317(x78701,x78703))+~P1(f317(f28(x78702),x78703))+P1(f317(f317(f319(x78702),f380(x78701,x78703,x78702)),f378(x78701,x78703,x78702)))+P1(f317(x78701,f178(f905(x78702,a894)))) % 199.88/201.01 [7882]P147(x78821,x78822,x78823)+~P1(f317(x78821,x78823))+~P1(f317(x78821,f843(x78823,x78822,x78821)))+P1(f317(f317(f226(a1),f844(x78823,x78822,x78821)),x78822)) % 199.88/201.01 [7888]P148(x78881,x78882,x78883)+~P1(f317(x78881,f842(x78883,x78882,x78881)))+~P1(f317(x78881,f2(a1)))+P1(f317(f317(f226(a1),f840(x78883,x78882,x78881)),x78882)) % 199.88/201.01 [7990]~P125(x79901)+~P1(f317(f317(f225(x79901),f317(f317(f75(x79901),x79903),x79902)),f2(x79901)))+P1(f317(f317(f225(x79901),x79902),f2(x79901)))+P1(f317(f317(f225(x79901),f2(x79901)),x79902)) % 199.88/201.01 [7991]~P125(x79911)+~P1(f317(f317(f225(x79911),f317(f317(f75(x79911),x79912),x79913)),f2(x79911)))+P1(f317(f317(f225(x79911),x79912),f2(x79911)))+P1(f317(f317(f225(x79911),f2(x79911)),x79912)) % 199.88/201.01 [7992]~P63(x79921)+~P1(f317(f317(f225(x79921),f317(f317(f281(x79921),x79923),x79922)),f2(x79921)))+P1(f317(f317(f225(x79921),x79922),f2(x79921)))+P1(f317(f317(f225(x79921),f2(x79921)),x79922)) % 199.88/201.01 [7993]~P63(x79931)+~P1(f317(f317(f225(x79931),f317(f317(f281(x79931),x79932),x79933)),f2(x79931)))+P1(f317(f317(f225(x79931),x79932),f2(x79931)))+P1(f317(f317(f225(x79931),f2(x79931)),x79932)) % 199.88/201.01 [7994]~P63(x79941)+~P1(f317(f317(f226(x79941),f317(f317(f281(x79941),x79943),x79942)),f2(x79941)))+P1(f317(f317(f226(x79941),x79942),f2(x79941)))+P1(f317(f317(f226(x79941),f2(x79941)),x79942)) % 199.88/201.01 [7995]~P63(x79951)+~P1(f317(f317(f226(x79951),f317(f317(f281(x79951),x79952),x79953)),f2(x79951)))+P1(f317(f317(f226(x79951),x79952),f2(x79951)))+P1(f317(f317(f226(x79951),f2(x79951)),x79952)) % 199.88/201.01 [8019]~P125(x80191)+~P1(f317(f317(f225(x80191),f317(f317(f75(x80191),x80192),x80193)),f2(x80191)))+P1(f317(f317(f225(x80191),f2(x80191)),x80192))+P1(f317(f317(f225(x80191),f2(x80191)),x80193)) % 199.88/201.01 [8020]~P63(x80201)+~P1(f317(f317(f225(x80201),f317(f317(f281(x80201),x80202),x80203)),f2(x80201)))+P1(f317(f317(f225(x80201),f2(x80201)),x80202))+P1(f317(f317(f225(x80201),f2(x80201)),x80203)) % 199.88/201.01 [8021]~P63(x80211)+~P1(f317(f317(f226(x80211),f317(f317(f281(x80211),x80212),x80213)),f2(x80211)))+P1(f317(f317(f226(x80211),f2(x80211)),x80212))+P1(f317(f317(f226(x80211),f2(x80211)),x80213)) % 199.88/201.01 [8043]P148(x80432,x80431,x80433)+E(x80431,f2(a1))+P1(f317(f317(f225(a1),f839(x80433,x80431,x80432)),f2(a1)))+P1(f317(f317(f226(a1),f840(x80433,x80431,x80432)),x80431)) % 199.88/201.01 [8044]P147(x80442,x80441,x80443)+E(x80441,f2(a1))+P1(f317(f317(f225(a1),f843(x80443,x80441,x80442)),f2(a1)))+P1(f317(f317(f226(a1),f844(x80443,x80441,x80442)),x80441)) % 199.88/201.01 [8051]~P110(x80511)+~P1(f317(f317(f226(x80511),x80512),f72(x80511)))+P1(f317(f317(f226(x80511),f317(f317(f234(x80511),x80512),f317(a102,x80513))),f72(x80511)))+~P1(f317(f317(f226(x80511),f2(x80511)),x80512)) % 199.88/201.01 [8104]~P108(x81041)+~E(x81043,f103(x81041))+~P13(x81041,f317(f158(x81041),x81043))+E(f317(f132(x81041,x81041,f317(f7(x81041,x81041,x81041),f224(x81041)),x81042),f317(f158(x81041),x81043)),x81042) % 199.88/201.01 [8107]P147(x81071,x81072,x81073)+~P1(f317(x81071,x81073))+P1(f317(f317(f225(a1),f843(x81073,x81072,x81071)),f2(a1)))+P1(f317(f317(f226(a1),f844(x81073,x81072,x81071)),x81072)) % 199.88/201.01 [8114]P148(x81141,x81142,x81143)+~P1(f317(x81141,f2(a1)))+P1(f317(f317(f225(a1),f839(x81143,x81142,x81141)),f2(a1)))+P1(f317(f317(f226(a1),f840(x81143,x81142,x81141)),x81142)) % 199.88/201.01 [8332]P148(x83323,x83321,x83322)+E(x83321,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83321),f842(x83322,x83321,x83323))),f839(x83322,x83321,x83323)),x83322)+P1(f317(f317(f226(a1),f840(x83322,x83321,x83323)),x83321)) % 199.88/201.01 [8333]P147(x83333,x83331,x83332)+E(x83331,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83331),f847(x83332,x83331,x83333))),f843(x83332,x83331,x83333)),x83332)+P1(f317(f317(f226(a1),f844(x83332,x83331,x83333)),x83331)) % 199.88/201.01 [8369]P147(x83693,x83691,x83692)+~P1(f317(x83693,x83692))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83691),f847(x83692,x83691,x83693))),f843(x83692,x83691,x83693)),x83692)+P1(f317(f317(f226(a1),f844(x83692,x83691,x83693)),x83691)) % 199.88/201.01 [8370]~P77(x83701)+~P78(x83701)+~P39(x83703)+E(f317(f317(f9(a898,x83701),f317(f317(f8(a1,x83701,a898),x83702),f90(a1))),f317(f300(a1,a898,a95),x83703)),f317(f317(f9(a1,x83701),x83702),x83703)) % 199.88/201.01 [8371]~P77(x83711)+~P78(x83711)+~P39(x83713)+E(f317(f317(f6(a898,x83711),f317(f317(f8(a1,x83711,a898),x83712),f90(a1))),f317(f300(a1,a898,a95),x83713)),f317(f317(f6(a1,x83711),x83712),x83713)) % 199.88/201.01 [8380]P148(x83803,x83801,x83802)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83801),f842(x83802,x83801,x83803))),f839(x83802,x83801,x83803)),x83802)+~P1(f317(x83803,f2(a1)))+P1(f317(f317(f226(a1),f840(x83802,x83801,x83803)),x83801)) % 199.88/201.01 [8402]~E(x84022,f2(a898))+~E(f317(f241(a898,a898),x84023),f2(a898))+~E(x84021,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),x84023)),x84022)),f317(f246(a898,a898),x84023)))+P1(f317(f43(x84021,x84022),x84023)) % 199.88/201.01 [8459]P1(f317(x84591,x84592))+~P1(f317(f317(f319(x84593),f419(x84591,x84592,x84593)),f429(x84591,x84592,x84593)))+~P1(f317(f28(x84593),x84592))+~P1(f317(x84591,f178(f905(x84593,a894)))) % 199.88/201.01 [9083]P1(f317(x90831,x90832))+~P1(f317(f28(x90833),x90832))+~P1(f317(x90831,f317(f317(f299(x90833),f419(x90831,x90832,x90833)),f429(x90831,x90832,x90833))))+~P1(f317(x90831,f178(f905(x90833,a894)))) % 199.88/201.01 [9316]P1(f317(f317(f225(a1),x93161),f2(a1)))+~P1(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f75(a1),x93163),x93161)),x93162)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x93162))+~P1(f317(f317(f226(a1),f2(a1)),x93163)) % 199.88/201.01 [5871]~P108(x58712)+E(x58711,f178(f905(x58712,a894)))+~P1(f317(f28(x58712),x58711))+E(f14(x58712,f317(f317(f299(x58712),x58713),x58711)),f317(f317(f229(x58712),x58713),f14(x58712,x58711))) % 199.88/201.01 [5872]~P108(x58722)+E(x58721,f178(f905(x58722,a894)))+~P1(f317(f28(x58722),x58721))+E(f15(x58722,f317(f317(f299(x58722),x58723),x58721)),f317(f317(f224(x58722),x58723),f15(x58722,x58721))) % 199.88/201.01 [5873]~P98(x58732)+E(x58731,f178(f905(x58732,a894)))+~P1(f317(f28(x58732),x58731))+E(f13(x58732,f317(f317(f299(x58732),x58733),x58731)),f317(f317(f91(x58732),x58733),f13(x58732,x58731))) % 199.88/201.01 [5874]~P98(x58742)+E(x58741,f178(f905(x58742,a894)))+~P1(f317(f28(x58742),x58741))+E(f10(x58742,f317(f317(f299(x58742),x58743),x58741)),f317(f317(f92(x58742),x58743),f10(x58742,x58741))) % 199.88/201.01 [6205]~P125(x62051)+~E(x62053,f2(x62051))+~E(x62052,f2(x62051))+E(f317(f317(f74(x62051),f317(f317(f75(x62051),x62052),x62052)),f317(f317(f75(x62051),x62053),x62053)),f2(x62051)) % 199.88/201.01 [6279]~P97(x62792)+E(x62791,f178(f905(x62792,a894)))+~P1(f317(f28(x62792),x62791))+E(f317(f57(x62792,f75(x62792)),f317(f317(f299(x62792),x62793),x62791)),f317(f317(f75(x62792),x62793),f317(f57(x62792,f75(x62792)),x62791))) % 199.88/201.01 [6410]~P108(x64102)+E(x64101,f178(f905(x64102,a894)))+~P1(f317(f28(x64102),x64101))+E(f11(x64102,f229(x64102),f317(f317(f299(x64102),x64103),x64101)),f317(f317(f229(x64102),x64103),f11(x64102,f229(x64102),x64101))) % 199.88/201.01 [6411]~P108(x64112)+E(x64111,f178(f905(x64112,a894)))+~P1(f317(f28(x64112),x64111))+E(f12(x64112,f224(x64112),f317(f317(f299(x64112),x64113),x64111)),f317(f317(f224(x64112),x64113),f12(x64112,f224(x64112),x64111))) % 199.88/201.01 [6932]~P74(x69321)+~P1(f317(f28(x69321),x69323))+E(f317(f57(x69321,f75(x69321)),f317(f317(f299(x69321),x69322),x69323)),f317(f317(f58(x69321,x69321,f75(x69321)),x69322),x69323))+P1(f317(f317(f319(x69321),x69322),x69323)) % 199.88/201.01 [7016]~E(f317(f317(f74(a1),x70162),f317(f317(f75(a1),x70163),x70161)),x70163)+~P1(f317(f317(f226(a1),f2(a1)),x70163))+P1(f317(f317(f225(a1),f72(a1)),x70161))+~P1(f317(f317(f226(a1),x70162),x70163)) % 199.88/201.01 [7045]~E(f317(f317(f74(a1),x70452),f317(f317(f75(a1),x70453),x70451)),x70453)+P1(f317(f317(f225(a1),x70451),f72(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x70452))+~P1(f317(f317(f226(a1),f2(a1)),x70453)) % 199.88/201.01 [7063]E(x70631,f2(a898))+~P1(f317(f43(x70633,x70631),x70632))+~P1(f317(f317(f226(a898),f2(a898)),x70631))+P1(f317(f317(f226(a898),f317(f246(a898,a898),x70632)),x70631)) % 199.88/201.01 [7094]~P139(x70941)+~P1(f317(f317(f225(x70941),x70942),f2(x70941)))+~P1(f317(f317(f225(x70941),x70943),f2(x70941)))+E(f317(f317(f75(x70941),f317(f70(x70941),x70942)),f317(f70(x70941),x70943)),f317(f70(x70941),f317(f317(f75(x70941),x70942),x70943))) % 199.88/201.01 [7141]~P139(x71411)+~P1(f317(f317(f225(x71411),x71412),f2(x71411)))+E(f317(f317(f75(x71411),f317(f70(x71411),x71412)),f317(f70(x71411),x71413)),f317(f70(x71411),f317(f317(f75(x71411),x71412),x71413)))+~P1(f317(f317(f225(x71411),f2(x71411)),x71413)) % 199.88/201.01 [7142]~P139(x71421)+~P1(f317(f317(f225(x71421),x71423),f2(x71421)))+E(f317(f317(f75(x71421),f317(f70(x71421),x71422)),f317(f70(x71421),x71423)),f317(f70(x71421),f317(f317(f75(x71421),x71422),x71423)))+~P1(f317(f317(f225(x71421),f2(x71421)),x71422)) % 199.88/201.01 [7198]~P139(x71981)+E(f317(f317(f75(x71981),f317(f70(x71981),x71982)),f317(f70(x71981),x71983)),f317(f70(x71981),f317(f317(f75(x71981),x71982),x71983)))+~P1(f317(f317(f225(x71981),f2(x71981)),x71982))+~P1(f317(f317(f225(x71981),f2(x71981)),x71983)) % 199.88/201.01 [7215]~P136(x72151)+~P1(f317(f317(f225(x72151),x72153),f2(x72151)))+~P1(f317(f317(f225(x72151),x72152),f2(x72151)))+P1(f317(f317(f225(x72151),f2(x72151)),f317(f317(f75(x72151),x72152),x72153))) % 199.88/201.01 [7216]~P125(x72161)+~P1(f317(f317(f225(x72161),x72163),f2(x72161)))+~P1(f317(f317(f225(x72161),x72162),f2(x72161)))+P1(f317(f317(f225(x72161),f2(x72161)),f317(f317(f75(x72161),x72162),x72163))) % 199.88/201.01 [7217]~P64(x72171)+~P1(f317(f317(f226(x72171),x72173),f2(x72171)))+~P1(f317(f317(f225(x72171),x72172),f2(x72171)))+P1(f317(f317(f225(x72171),f2(x72171)),f317(f317(f281(x72171),x72172),x72173))) % 199.88/201.01 [7218]~P63(x72181)+~P1(f317(f317(f225(x72181),x72183),f2(x72181)))+~P1(f317(f317(f225(x72181),x72182),f2(x72181)))+P1(f317(f317(f225(x72181),f2(x72181)),f317(f317(f281(x72181),x72182),x72183))) % 199.88/201.01 [7219]~P125(x72191)+~P1(f317(f317(f226(x72191),x72193),f2(x72191)))+~P1(f317(f317(f226(x72191),x72192),f2(x72191)))+P1(f317(f317(f226(x72191),f2(x72191)),f317(f317(f75(x72191),x72192),x72193))) % 199.88/201.01 [7220]~P64(x72201)+~P1(f317(f317(f226(x72201),x72203),f2(x72201)))+~P1(f317(f317(f226(x72201),x72202),f2(x72201)))+P1(f317(f317(f226(x72201),f2(x72201)),f317(f317(f281(x72201),x72202),x72203))) % 199.88/201.01 [7221]~P63(x72211)+~P1(f317(f317(f226(x72211),x72213),f2(x72211)))+~P1(f317(f317(f226(x72211),x72212),f2(x72211)))+P1(f317(f317(f226(x72211),f2(x72211)),f317(f317(f281(x72211),x72212),x72213))) % 199.88/201.01 [7222]~P110(x72221)+~P1(f317(f317(f226(a898),f2(a898)),x72223))+~P1(f317(f317(f226(x72221),f72(x72221)),x72222))+P1(f317(f317(f226(x72221),f72(x72221)),f317(f317(f234(x72221),x72222),x72223))) % 199.88/201.01 [7320]~P135(x73201)+~P1(f317(f317(f225(x73201),f2(x73201)),x73203))+~P1(f317(f317(f225(x73201),f2(x73201)),x73202))+P1(f317(f317(f225(x73201),f2(x73201)),f317(f317(f75(x73201),x73202),x73203))) % 199.88/201.01 [7321]~P136(x73211)+~P1(f317(f317(f225(x73211),f2(x73211)),x73213))+~P1(f317(f317(f225(x73211),f2(x73211)),x73212))+P1(f317(f317(f225(x73211),f2(x73211)),f317(f317(f75(x73211),x73212),x73213))) % 199.88/201.01 [7322]~P125(x73221)+~P1(f317(f317(f225(x73221),f2(x73221)),x73223))+~P1(f317(f317(f225(x73221),f2(x73221)),x73222))+P1(f317(f317(f225(x73221),f2(x73221)),f317(f317(f75(x73221),x73222),x73223))) % 199.88/201.01 [7323]~P64(x73231)+~P1(f317(f317(f226(x73231),f2(x73231)),x73233))+~P1(f317(f317(f225(x73231),f2(x73231)),x73232))+P1(f317(f317(f225(x73231),f2(x73231)),f317(f317(f281(x73231),x73232),x73233))) % 199.88/201.01 [7324]~P63(x73241)+~P1(f317(f317(f225(x73241),f2(x73241)),x73243))+~P1(f317(f317(f225(x73241),f2(x73241)),x73242))+P1(f317(f317(f225(x73241),f2(x73241)),f317(f317(f281(x73241),x73242),x73243))) % 199.88/201.01 [7325]~P110(x73251)+~P1(f317(f317(f226(x73251),f72(x73251)),x73253))+~P1(f317(f317(f226(x73251),f72(x73251)),x73252))+P1(f317(f317(f226(x73251),f72(x73251)),f317(f317(f75(x73251),x73252),x73253))) % 199.88/201.01 [7328]~P88(x73281)+~P1(f317(f317(f226(x73281),f2(x73281)),x73283))+~P1(f317(f317(f226(x73281),f2(x73281)),x73282))+P1(f317(f317(f226(x73281),f2(x73281)),f317(f317(f74(x73281),x73282),x73283))) % 199.88/201.01 [7329]~P131(x73291)+~P1(f317(f317(f226(x73291),f2(x73291)),x73293))+~P1(f317(f317(f226(x73291),f2(x73291)),x73292))+P1(f317(f317(f226(x73291),f2(x73291)),f317(f317(f75(x73291),x73292),x73293))) % 199.88/201.01 [7330]~P64(x73301)+~P1(f317(f317(f226(x73301),f2(x73301)),x73303))+~P1(f317(f317(f226(x73301),f2(x73301)),x73302))+P1(f317(f317(f226(x73301),f2(x73301)),f317(f317(f281(x73301),x73302),x73303))) % 199.88/201.01 [7331]~P63(x73311)+~P1(f317(f317(f226(x73311),f2(x73311)),x73313))+~P1(f317(f317(f226(x73311),f2(x73311)),x73312))+P1(f317(f317(f226(x73311),f2(x73311)),f317(f317(f281(x73311),x73312),x73313))) % 199.88/201.01 [7410]~P108(x74101)+~P1(f317(f28(x74101),x74103))+E(f14(x74101,f317(f317(f299(x74101),x74102),x74103)),x74102)+~E(f317(f317(f23(f905(x74101,a894)),x74103),f317(f317(f299(x74101),x74102),f178(f905(x74101,a894)))),f178(f905(x74101,a894))) % 199.88/201.01 [7411]~P108(x74111)+~P1(f317(f28(x74111),x74113))+E(f15(x74111,f317(f317(f299(x74111),x74112),x74113)),x74112)+~E(f317(f317(f23(f905(x74111,a894)),x74113),f317(f317(f299(x74111),x74112),f178(f905(x74111,a894)))),f178(f905(x74111,a894))) % 199.88/201.01 [7412]~P98(x74121)+~P1(f317(f28(x74121),x74123))+E(f13(x74121,f317(f317(f299(x74121),x74122),x74123)),x74122)+~E(f317(f317(f23(f905(x74121,a894)),x74123),f317(f317(f299(x74121),x74122),f178(f905(x74121,a894)))),f178(f905(x74121,a894))) % 199.88/201.01 [7413]~P98(x74131)+~P1(f317(f28(x74131),x74133))+E(f10(x74131,f317(f317(f299(x74131),x74132),x74133)),x74132)+~E(f317(f317(f23(f905(x74131,a894)),x74133),f317(f317(f299(x74131),x74132),f178(f905(x74131,a894)))),f178(f905(x74131,a894))) % 199.88/201.01 [7415]~P125(x74151)+P1(f317(f317(f225(x74151),x74152),f2(x74151)))+P1(f317(f317(f225(x74151),f2(x74151)),x74153))+~P1(f317(f317(f225(x74151),f2(x74151)),f317(f317(f75(x74151),x74153),x74152))) % 199.88/201.01 [7416]~P125(x74161)+P1(f317(f317(f225(x74161),x74162),f2(x74161)))+P1(f317(f317(f225(x74161),f2(x74161)),x74163))+~P1(f317(f317(f225(x74161),f2(x74161)),f317(f317(f75(x74161),x74162),x74163))) % 199.88/201.01 [7417]~P63(x74171)+P1(f317(f317(f225(x74171),x74172),f2(x74171)))+P1(f317(f317(f225(x74171),f2(x74171)),x74173))+~P1(f317(f317(f225(x74171),f2(x74171)),f317(f317(f281(x74171),x74173),x74172))) % 199.88/201.01 [7418]~P63(x74181)+P1(f317(f317(f225(x74181),x74182),f2(x74181)))+P1(f317(f317(f225(x74181),f2(x74181)),x74183))+~P1(f317(f317(f225(x74181),f2(x74181)),f317(f317(f281(x74181),x74182),x74183))) % 199.88/201.01 [7419]~P125(x74191)+P1(f317(f317(f225(x74191),x74192),f2(x74191)))+P1(f317(f317(f225(x74191),f2(x74191)),x74192))+~P1(f317(f317(f225(x74191),f2(x74191)),f317(f317(f75(x74191),x74193),x74192))) % 199.88/201.01 [7420]~P125(x74201)+P1(f317(f317(f225(x74201),x74202),f2(x74201)))+P1(f317(f317(f225(x74201),f2(x74201)),x74202))+~P1(f317(f317(f225(x74201),f2(x74201)),f317(f317(f75(x74201),x74202),x74203))) % 199.88/201.01 [7421]~P63(x74211)+P1(f317(f317(f225(x74211),x74212),f2(x74211)))+P1(f317(f317(f225(x74211),f2(x74211)),x74212))+~P1(f317(f317(f225(x74211),f2(x74211)),f317(f317(f281(x74211),x74213),x74212))) % 199.88/201.01 [7422]~P63(x74221)+P1(f317(f317(f225(x74221),x74222),f2(x74221)))+P1(f317(f317(f225(x74221),f2(x74221)),x74222))+~P1(f317(f317(f225(x74221),f2(x74221)),f317(f317(f281(x74221),x74222),x74223))) % 199.88/201.01 [7423]~P63(x74231)+P1(f317(f317(f226(x74231),x74232),f2(x74231)))+P1(f317(f317(f226(x74231),f2(x74231)),x74233))+~P1(f317(f317(f226(x74231),f2(x74231)),f317(f317(f281(x74231),x74233),x74232))) % 199.88/201.01 [7424]~P63(x74241)+P1(f317(f317(f226(x74241),x74242),f2(x74241)))+P1(f317(f317(f226(x74241),f2(x74241)),x74243))+~P1(f317(f317(f226(x74241),f2(x74241)),f317(f317(f281(x74241),x74242),x74243))) % 199.88/201.01 [7425]~P63(x74251)+P1(f317(f317(f226(x74251),x74252),f2(x74251)))+P1(f317(f317(f226(x74251),f2(x74251)),x74252))+~P1(f317(f317(f226(x74251),f2(x74251)),f317(f317(f281(x74251),x74253),x74252))) % 199.88/201.01 [7426]~P63(x74261)+P1(f317(f317(f226(x74261),x74262),f2(x74261)))+P1(f317(f317(f226(x74261),f2(x74261)),x74262))+~P1(f317(f317(f226(x74261),f2(x74261)),f317(f317(f281(x74261),x74262),x74263))) % 199.88/201.01 [7499]~P1(f317(f317(f277(a898),x74991),x74993))+P1(f317(f317(f277(a898),x74991),x74992))+~P1(f317(f317(f225(a898),x74992),x74993))+~P1(f317(f317(f277(a898),x74991),f317(f317(f23(a898),x74993),x74992))) % 199.88/201.01 [7500]~P1(f317(f317(f277(a898),x75001),x75003))+P1(f317(f317(f277(a898),x75001),x75002))+~P1(f317(f317(f225(a898),x75003),x75002))+~P1(f317(f317(f277(a898),x75001),f317(f317(f23(a898),x75002),x75003))) % 199.88/201.01 [7515]~E(f317(f317(f92(f905(x75151,a894)),f317(f162(x75151),x75152)),f317(f162(x75151),x75153)),f178(f905(x75151,a894)))+~P1(f317(f127(x75151),x75153))+~P1(f317(f127(x75151),x75152))+P1(f317(f127(x75151),f317(f317(f124(x75151),x75152),x75153))) % 199.88/201.01 [7516]~P108(x75161)+~P1(f317(f28(x75161),x75163))+E(f11(x75161,f229(x75161),f317(f317(f299(x75161),x75162),x75163)),x75162)+~E(f317(f317(f23(f905(x75161,a894)),x75163),f317(f317(f299(x75161),x75162),f178(f905(x75161,a894)))),f178(f905(x75161,a894))) % 199.88/201.01 [7517]~P108(x75171)+~P1(f317(f28(x75171),x75173))+E(f12(x75171,f224(x75171),f317(f317(f299(x75171),x75172),x75173)),x75172)+~E(f317(f317(f23(f905(x75171,a894)),x75173),f317(f317(f299(x75171),x75172),f178(f905(x75171,a894)))),f178(f905(x75171,a894))) % 199.88/201.01 [7530]~P85(x75301)+~P1(f317(f317(f225(x75301),x75302),x75303))+~P1(f317(f317(f225(x75301),f317(f73(x75301),x75302)),x75303))+P1(f317(f317(f225(x75301),f317(f70(x75301),x75302)),x75303)) % 199.88/201.01 [7531]~P111(x75311)+~P1(f317(f317(f226(x75311),x75312),x75313))+~P1(f317(f317(f226(x75311),f317(f73(x75311),x75312)),x75313))+P1(f317(f317(f226(x75311),f317(f70(x75311),x75312)),x75313)) % 199.88/201.01 [7597]~P131(x75971)+P1(f317(f317(f226(x75971),f2(x75971)),x75972))+~P1(f317(f317(f226(x75971),f2(x75971)),x75973))+~P1(f317(f317(f226(x75971),f2(x75971)),f317(f317(f75(x75971),x75973),x75972))) % 199.88/201.01 [7598]~P131(x75981)+P1(f317(f317(f226(x75981),f2(x75981)),x75982))+~P1(f317(f317(f226(x75981),f2(x75981)),x75983))+~P1(f317(f317(f226(x75981),f2(x75981)),f317(f317(f75(x75981),x75982),x75983))) % 199.88/201.01 [7902]E(x79021,x79022)+~P1(f317(f28(x79023),x79021))+~P1(f317(f317(f225(a898),f317(f29(x79023),x79021)),f317(f29(x79023),x79022)))+~P1(f317(f317(f225(f905(x79023,a894)),x79022),x79021)) % 199.88/201.01 [8048]~P1(f317(f317(f226(a1),x80481),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x80482))+~P1(f317(f317(f225(a1),x80482),x80483))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x80481),x80482)),f317(f317(f30(a1),x80481),x80483))) % 199.88/201.01 [8058]~P1(f317(f317(f225(a1),f2(a1)),x80581))+~P1(f317(f317(f226(a1),f2(a1)),x80583))+~P1(f317(f317(f225(a1),x80583),x80582))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x80581),x80582)),f317(f317(f30(a1),x80581),x80583))) % 199.88/201.01 [8192]E(f317(x81921,f495(x81922,x81921,x81923)),x81922)+~P1(f317(f317(f225(a1),x81922),f317(x81921,x81923)))+P1(f317(f317(f226(a898),f496(x81922,x81921,x81923)),x81923))+~P1(f317(f317(f225(a1),f317(x81921,f2(a898))),x81922)) % 199.88/201.01 [8193]E(f317(x81931,f497(x81932,x81931,x81933)),x81932)+~P1(f317(f317(f225(a1),x81932),f317(x81931,x81933)))+P1(f317(f317(f226(a898),f498(x81932,x81931,x81933)),x81933))+~P1(f317(f317(f225(a1),f317(x81931,f2(a898))),x81932)) % 199.88/201.01 [8295]~P1(f317(f28(x82951),x82953))+~P1(f317(f317(f226(a898),f317(f29(x82951),x82952)),f317(f29(x82951),x82953)))+~P1(f317(f317(f225(f905(x82951,a894)),x82952),x82953))+P1(f317(f317(f226(f905(x82951,a894)),x82952),x82953)) % 199.88/201.01 [8322]E(f317(f317(f74(a1),f381(x83223,x83221,x83222)),f382(x83223,x83221,x83222)),x83221)+E(f317(f317(f23(a1),x83221),x83222),x83221)+~P1(f317(f317(f226(a1),f2(a1)),x83222))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x83221),f72(a1))),x83223)) % 199.88/201.01 [8323]E(f317(f317(f23(a1),f390(x83233,x83231,x83232)),f391(x83233,x83231,x83232)),x83231)+E(f317(f317(f74(a1),x83231),x83232),x83231)+~P1(f317(f317(f226(a1),f2(a1)),x83232))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x83231),f72(a1))),x83233)) % 199.88/201.01 [8375]~P1(f317(f317(f225(a898),x83753),x83751))+P1(f317(f317(f225(a898),x83751),x83752))+~P1(f317(f317(f225(a898),x83753),x83752))+~P1(f317(f317(f225(a898),f317(f317(f23(a898),x83751),x83753)),f317(f317(f23(a898),x83752),x83753))) % 199.88/201.01 [8376]~P1(f317(f317(f225(a898),x83763),x83761))+P1(f317(f317(f226(a898),x83761),x83762))+~P1(f317(f317(f225(a898),x83763),x83762))+~P1(f317(f317(f226(a898),f317(f317(f23(a898),x83761),x83763)),f317(f317(f23(a898),x83762),x83763))) % 199.88/201.01 [8395]~P108(x83952)+E(x83951,f103(x83952))+~P13(x83952,f317(f158(x83952),x83951))+E(f317(f132(x83952,x83952,f317(f7(x83952,x83952,x83952),f224(x83952)),x83953),f317(f158(x83952),x83951)),f317(f317(f224(x83952),f317(f317(f154(x83952),x83951),f2(a898))),x83953)) % 199.88/201.01 [8464]E(f317(f317(f23(a1),x84641),x84642),x84641)+~P1(f317(f317(f226(a1),f2(a1)),x84642))+P1(f317(f317(f319(a1),f381(x84643,x84641,x84642)),x84643))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x84641),f72(a1))),x84643)) % 199.88/201.01 [8465]E(f317(f317(f74(a1),x84651),x84652),x84651)+~P1(f317(f317(f226(a1),f2(a1)),x84652))+P1(f317(f317(f319(a1),f390(x84653,x84651,x84652)),x84653))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x84651),f72(a1))),x84653)) % 199.88/201.01 [8537]~P1(f317(f317(f225(a1),x85371),f317(x85372,x85373)))+P1(f317(f317(f226(a898),f496(x85371,x85372,x85373)),x85373))+P1(f317(f317(f225(a898),f495(x85371,x85372,x85373)),x85373))+~P1(f317(f317(f225(a1),f317(x85372,f2(a898))),x85371)) % 199.88/201.01 [8538]~P1(f317(f317(f225(a1),x85381),f317(x85382,x85383)))+P1(f317(f317(f226(a898),f498(x85381,x85382,x85383)),x85383))+P1(f317(f317(f225(a898),f497(x85381,x85382,x85383)),x85383))+~P1(f317(f317(f225(a1),f317(x85382,f2(a898))),x85381)) % 199.88/201.01 [8610]E(f317(f317(f23(a1),x86101),x86102),x86101)+~P1(f317(f317(f226(a1),f2(a1)),x86102))+P1(f317(f317(f319(a1),f382(x86103,x86101,x86102)),f293(a1,f72(a1),x86102)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x86101),f72(a1))),x86103)) % 199.88/201.01 [8611]E(f317(f317(f74(a1),x86111),x86112),x86111)+~P1(f317(f317(f226(a1),f2(a1)),x86112))+P1(f317(f317(f319(a1),f391(x86113,x86111,x86112)),f293(a1,f72(a1),x86112)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x86111),f72(a1))),x86113)) % 199.88/201.01 [8744]~P110(x87441)+~P1(f317(f317(f226(x87441),x87442),f72(x87441)))+~P1(f317(f317(f226(x87441),f2(x87441)),x87442))+P1(f317(f317(f226(x87441),f317(f317(f75(x87441),x87442),f317(f317(f234(x87441),x87442),x87443))),f317(f317(f234(x87441),x87442),x87443))) % 199.88/201.01 [8837]~P1(f317(x88371,x88372))+P1(f317(x88371,f2(a898)))+~P1(f317(f317(f226(a898),x88372),x88373))+~P1(f317(x88371,f40(a898,f317(a102,f564(x88372,x88371,x88373)),x88373))) % 199.88/201.01 [8989]E(f327(x89891,x89892,x89893),f2(a898))+P1(f317(f317(x89891,x89893),x89892))+P1(f317(f317(x89891,f327(x89891,x89892,x89893)),f40(a898,f326(x89891,x89892,x89893),f327(x89891,x89892,x89893))))+~P1(f317(f305(f904(a898,a898),a209),f317(f317(f242(a898,a898),x89893),x89892))) % 199.88/201.01 [9025]~P24(x90251,x90251,x90252,x90253)+E(f317(f300(x90251,x90251,x90252),x90253),x90253)+~P1(f317(f28(x90251),x90253))+~P1(f317(f317(f225(f905(x90251,a894)),f317(f300(x90251,x90251,x90252),x90253)),x90253)) % 199.88/201.01 [9242]P1(f317(f317(x92421,x92422),x92423))+P1(f317(f317(f226(a1),f750(x92421,x92423,x92422)),f751(x92421,x92423,x92422)))+P1(f317(f317(x92421,f750(x92421,x92423,x92422)),f317(f317(f74(a1),f751(x92421,x92423,x92422)),f72(a1))))+~P1(f317(f305(f904(a1,a1),a123),f317(f317(f242(a1,a1),x92422),x92423))) % 199.88/201.01 [9259]P1(f317(f317(x92591,x92592),x92593))+~P1(f317(f317(f226(a1),f325(x92591,x92593,x92592)),f2(a1)))+P1(f317(f317(x92591,f317(f73(a1),f891(x92591,x92593,x92592))),f317(f73(a1),f325(x92591,x92593,x92592))))+~P1(f317(f305(f904(a1,a1),a211),f317(f317(f242(a1,a1),x92592),x92593))) % 199.88/201.01 [9451]P1(f317(f317(x94511,x94512),x94513))+P1(f317(f317(x94511,f317(f317(f74(a1),f653(x94511,x94513,x94512)),f72(a1))),f655(x94511,x94513,x94512)))+~P1(f317(f317(f225(a1),f653(x94511,x94513,x94512)),f655(x94511,x94513,x94512)))+~P1(f317(f305(f904(a1,a1),a172),f317(f317(f242(a1,a1),x94512),x94513))) % 199.88/201.01 [9893]~P60(x98932)+~P60(x98931)+~P1(f317(f51(f904(x98931,x98932)),x98933))+P1(f317(f51(x98931),f317(f317(f8(f905(x98932,a894),a894,x98931),f51(x98932)),f317(f317(f8(f905(x98932,f904(x98931,x98932)),f905(x98932,a894),x98931),f317(f8(f904(x98931,x98932),a894,x98932),x98933)),f242(x98931,x98932))))) % 199.88/201.01 [9894]~P60(x98942)+~P60(x98941)+~P1(f317(f52(f904(x98941,x98942)),x98943))+P1(f317(f52(x98941),f317(f317(f8(f905(x98942,a894),a894,x98941),f52(x98942)),f317(f317(f8(f905(x98942,f904(x98941,x98942)),f905(x98942,a894),x98941),f317(f8(f904(x98941,x98942),a894,x98942),x98943)),f242(x98941,x98942))))) % 199.88/201.01 [9988]~P60(x99882)+~P60(x99881)+P1(f317(f51(f904(x99881,x99882)),x99883))+~P1(f317(f51(x99881),f317(f317(f8(f905(x99882,a894),a894,x99881),f51(x99882)),f317(f317(f8(f905(x99882,f904(x99881,x99882)),f905(x99882,a894),x99881),f317(f8(f904(x99881,x99882),a894,x99882),x99883)),f242(x99881,x99882))))) % 199.88/201.01 [9989]~P60(x99892)+~P60(x99891)+P1(f317(f52(f904(x99891,x99892)),x99893))+~P1(f317(f52(x99891),f317(f317(f8(f905(x99892,a894),a894,x99891),f52(x99892)),f317(f317(f8(f905(x99892,f904(x99891,x99892)),f905(x99892,a894),x99891),f317(f8(f904(x99891,x99892),a894,x99892),x99893)),f242(x99891,x99892))))) % 199.88/201.01 [10162]E(f317(x101621,f495(x101622,x101621,x101623)),x101622)+~P1(f317(f317(f225(a1),x101622),f317(x101621,x101623)))+~P1(f317(f317(f225(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101621,f317(f317(f74(a898),f496(x101622,x101621,x101623)),f72(a898)))),f317(x101621,f496(x101622,x101621,x101623))))),f72(a1)))+~P1(f317(f317(f225(a1),f317(x101621,f2(a898))),x101622)) % 199.88/201.01 [10163]E(f317(x101631,f497(x101632,x101631,x101633)),x101632)+~P1(f317(f317(f225(a1),x101632),f317(x101631,x101633)))+~P1(f317(f317(f225(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101631,f317(f317(f74(a898),f498(x101632,x101631,x101633)),f72(a898)))),f317(x101631,f498(x101632,x101631,x101633))))),f72(a1)))+~P1(f317(f317(f225(a1),f317(x101631,f2(a898))),x101632)) % 199.88/201.01 [10166]~P1(f317(f317(f225(a1),x101661),f317(x101662,x101663)))+~P1(f317(f317(f225(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101662,f317(f317(f74(a898),f496(x101661,x101662,x101663)),f72(a898)))),f317(x101662,f496(x101661,x101662,x101663))))),f72(a1)))+P1(f317(f317(f225(a898),f495(x101661,x101662,x101663)),x101663))+~P1(f317(f317(f225(a1),f317(x101662,f2(a898))),x101661)) % 199.88/201.01 [10167]~P1(f317(f317(f225(a1),x101671),f317(x101672,x101673)))+~P1(f317(f317(f225(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101672,f317(f317(f74(a898),f498(x101671,x101672,x101673)),f72(a898)))),f317(x101672,f498(x101671,x101672,x101673))))),f72(a1)))+P1(f317(f317(f225(a898),f497(x101671,x101672,x101673)),x101673))+~P1(f317(f317(f225(a1),f317(x101672,f2(a898))),x101671)) % 199.88/201.01 [10224]E(x102241,x102242)+~E(f317(f132(f899(x102243),f899(x102243),f124(x102243),f103(x102243)),x102241),f317(f132(f899(x102243),f899(x102243),f124(x102243),f103(x102243)),x102242))+~E(f317(f179(f899(f899(x102243))),x102241),f317(f179(f899(f899(x102243))),x102242))+~P1(f317(f317(f247(f899(x102243),f899(x102243),a894),f317(f317(f7(f899(x102243),f905(f899(x102243),a898),f905(f899(x102243),a894)),f317(f317(f8(f905(a898,a894),f905(f905(f899(x102243),a898),f905(f899(x102243),a894)),f899(x102243)),f8(a898,a894,f899(x102243))),f317(f317(f8(a898,f905(a898,a894),f899(x102243)),a314),f179(f899(x102243))))),f179(f899(x102243)))),f681(x102242,x102241,x102243))) % 199.88/201.01 [10225]E(x102251,x102252)+~E(f317(f132(f899(x102253),f899(x102253),f124(x102253),f103(x102253)),x102251),f317(f132(f899(x102253),f899(x102253),f124(x102253),f103(x102253)),x102252))+~E(f317(f179(f899(f899(x102253))),x102251),f317(f179(f899(f899(x102253))),x102252))+~P1(f317(f317(f247(f899(x102253),f899(x102253),a894),f317(f317(f7(f899(x102253),f905(f899(x102253),a898),f905(f899(x102253),a894)),f317(f317(f8(f905(a898,a894),f905(f905(f899(x102253),a898),f905(f899(x102253),a894)),f899(x102253)),f8(a898,a894,f899(x102253))),f317(f317(f8(a898,f905(a898,a894),f899(x102253)),a314),f179(f899(x102253))))),f179(f899(x102253)))),f682(x102251,x102252,x102253))) % 199.88/201.01 [6920]~E(f72(a898),f2(a898))+~P1(f317(f28(x69201),x69203))+~P1(f317(f28(x69201),x69202))+E(f317(f317(f74(a898),f317(f29(x69201),x69202)),f317(f29(x69201),x69203)),f317(f29(x69201),f317(f317(f91(f905(x69201,a894)),x69202),x69203))) % 199.88/201.01 [7338]~P108(x73381)+~P1(f317(f28(x73381),x73382))+~P1(f317(f317(f319(x73381),x73383),x73382))+P1(f317(f317(f225(x73381),f317(f57(x73381,f229(x73381)),x73382)),x73383)) % 199.88/201.01 [7339]~P104(x73391)+~P1(f317(f28(x73391),x73392))+~P1(f317(f317(f319(x73391),x73393),x73392))+P1(f317(f317(f225(x73391),f317(f57(x73391,f92(x73391)),x73392)),x73393)) % 199.88/201.01 [7591]~P1(f317(f28(x75911),x75913))+~P1(f317(f28(x75911),x75912))+~E(f317(f317(f92(f905(x75911,a894)),x75912),x75913),f178(f905(x75911,a894)))+E(f317(f317(f74(a898),f317(f29(x75911),x75912)),f317(f29(x75911),x75913)),f317(f29(x75911),f317(f317(f91(f905(x75911,a894)),x75912),x75913))) % 199.88/201.01 [8381]~P36(x83811,x83813)+~P36(x83811,x83812)+~E(f317(f317(f92(f905(x83811,a894)),f317(f254(x83811,x83811),x83812)),f317(f274(x83811,x83811),x83813)),f178(f905(x83811,a894)))+P36(x83811,f317(f317(f91(f905(f904(x83811,x83811),a894)),x83812),x83813)) % 199.88/201.01 [8476]E(x84761,f317(f317(f30(a898),x84762),x84763))+~P1(f317(f317(f226(a898),f2(a898)),x84763))+~P1(f317(f317(f226(a898),x84762),f317(f317(f75(a898),x84763),f317(a102,x84761))))+~P1(f317(f317(f225(a898),f317(f317(f75(a898),x84763),x84761)),x84762)) % 199.88/201.01 [8608]~P1(f317(f28(x86081),x86082))+~P1(f317(f28(x86081),x86083))+E(f317(f317(f74(a898),f317(f29(x86081),x86082)),f317(f29(x86081),x86083)),f317(f29(x86081),f317(f317(f91(f905(x86081,a894)),x86082),x86083)))+P1(f317(f317(f319(x86081),f437(x86083,x86082,x86081)),f317(f317(f92(f905(x86081,a894)),x86082),x86083))) % 199.88/201.01 [9001]~P125(x90012)+~E(x90011,f2(x90012))+~E(x90013,f2(x90012))+~P1(f317(f317(f226(x90012),f2(x90012)),f317(f317(f74(x90012),f317(f317(f75(x90012),x90013),x90013)),f317(f317(f75(x90012),x90011),x90011)))) % 199.88/201.01 [9532]~P36(x95321,x95323)+~P36(x95321,x95322)+P36(x95321,f317(f317(f91(f905(f904(x95321,x95321),a894)),x95322),x95323))+~P1(f317(f317(f225(f905(f904(x95321,x95321),a894)),f317(f317(f279(x95321,x95321,x95321),x95322),x95323)),x95322)) % 199.88/201.01 [9669]~P1(f317(x96691,x96693))+~P1(f317(f28(x96692),x96693))+P1(f317(x96691,f178(f905(x96692,a894))))+~P1(f317(x96691,f317(f317(f23(f905(x96692,a894)),f378(x96691,x96693,x96692)),f317(f317(f299(x96692),f380(x96691,x96693,x96692)),f178(f905(x96692,a894)))))) % 199.88/201.01 [8784]~P1(f317(f317(f226(a1),f2(a1)),x87843))+P1(f317(f317(f225(a1),f2(a1)),x87841))+~P1(f317(f317(f226(a1),x87842),x87843))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x87843),x87841)),x87842))) % 199.88/201.01 [8808]~P108(x88081)+~P1(f317(f28(x88081),x88082))+E(f317(f317(f23(f905(x88081,a894)),x88082),f317(f317(f299(x88081),x88083),f178(f905(x88081,a894)))),f178(f905(x88081,a894)))+E(f317(f317(f229(x88081),x88083),f14(x88081,f317(f317(f23(f905(x88081,a894)),x88082),f317(f317(f299(x88081),x88083),f178(f905(x88081,a894)))))),f14(x88081,f317(f317(f299(x88081),x88083),x88082))) % 199.88/201.01 [8809]~P108(x88091)+~P1(f317(f28(x88091),x88092))+E(f317(f317(f23(f905(x88091,a894)),x88092),f317(f317(f299(x88091),x88093),f178(f905(x88091,a894)))),f178(f905(x88091,a894)))+E(f317(f317(f224(x88091),x88093),f15(x88091,f317(f317(f23(f905(x88091,a894)),x88092),f317(f317(f299(x88091),x88093),f178(f905(x88091,a894)))))),f15(x88091,f317(f317(f299(x88091),x88093),x88092))) % 199.88/201.01 [8810]~P98(x88101)+~P1(f317(f28(x88101),x88102))+E(f317(f317(f23(f905(x88101,a894)),x88102),f317(f317(f299(x88101),x88103),f178(f905(x88101,a894)))),f178(f905(x88101,a894)))+E(f317(f317(f91(x88101),x88103),f13(x88101,f317(f317(f23(f905(x88101,a894)),x88102),f317(f317(f299(x88101),x88103),f178(f905(x88101,a894)))))),f13(x88101,f317(f317(f299(x88101),x88103),x88102))) % 199.88/201.01 [8811]~P98(x88111)+~P1(f317(f28(x88111),x88112))+E(f317(f317(f23(f905(x88111,a894)),x88112),f317(f317(f299(x88111),x88113),f178(f905(x88111,a894)))),f178(f905(x88111,a894)))+E(f317(f317(f92(x88111),x88113),f10(x88111,f317(f317(f23(f905(x88111,a894)),x88112),f317(f317(f299(x88111),x88113),f178(f905(x88111,a894)))))),f10(x88111,f317(f317(f299(x88111),x88113),x88112))) % 199.88/201.01 [8883]~P108(x88831)+~P1(f317(f28(x88831),x88832))+E(f317(f317(f23(f905(x88831,a894)),x88832),f317(f317(f299(x88831),x88833),f178(f905(x88831,a894)))),f178(f905(x88831,a894)))+E(f317(f317(f229(x88831),x88833),f11(x88831,f229(x88831),f317(f317(f23(f905(x88831,a894)),x88832),f317(f317(f299(x88831),x88833),f178(f905(x88831,a894)))))),f11(x88831,f229(x88831),f317(f317(f299(x88831),x88833),x88832))) % 199.88/201.01 [8884]~P108(x88841)+~P1(f317(f28(x88841),x88842))+E(f317(f317(f23(f905(x88841,a894)),x88842),f317(f317(f299(x88841),x88843),f178(f905(x88841,a894)))),f178(f905(x88841,a894)))+E(f317(f317(f224(x88841),x88843),f12(x88841,f224(x88841),f317(f317(f23(f905(x88841,a894)),x88842),f317(f317(f299(x88841),x88843),f178(f905(x88841,a894)))))),f12(x88841,f224(x88841),f317(f317(f299(x88841),x88843),x88842))) % 199.88/201.01 [9470]E(x94701,x94702)+~E(f317(f132(f899(x94703),f899(x94703),f124(x94703),f103(x94703)),x94701),f317(f132(f899(x94703),f899(x94703),f124(x94703),f103(x94703)),x94702))+~E(f317(f179(f899(f899(x94703))),x94701),f317(f179(f899(f899(x94703))),x94702))+P1(f317(f317(f319(f904(f899(x94703),f899(x94703))),f681(x94702,x94701,x94703)),f317(f162(f904(f899(x94703),f899(x94703))),f317(f317(f171(f899(x94703),f899(x94703)),x94701),x94702)))) % 199.88/201.01 [9471]E(x94711,x94712)+~E(f317(f132(f899(x94713),f899(x94713),f124(x94713),f103(x94713)),x94711),f317(f132(f899(x94713),f899(x94713),f124(x94713),f103(x94713)),x94712))+~E(f317(f179(f899(f899(x94713))),x94711),f317(f179(f899(f899(x94713))),x94712))+P1(f317(f317(f319(f904(f899(x94713),f899(x94713))),f682(x94711,x94712,x94713)),f317(f162(f904(f899(x94713),f899(x94713))),f317(f317(f171(f899(x94713),f899(x94713)),x94712),x94711)))) % 199.88/201.01 [10333]~P80(x103332)+E(x103331,f178(f905(x103332,a894)))+~P1(f317(f28(x103332),x103331))+E(f14(x103332,f317(f252(x103332),f317(f317(f8(f905(x103332,a894),a894,x103332),f81(x103332)),f317(f317(f7(x103332,f905(x103332,a894),f905(x103332,a894)),f317(f317(f8(f905(x103332,f905(a894,a894)),f905(f905(x103332,a894),f905(x103332,a894)),x103332),f18(x103332,a894,a894)),f317(f317(f8(f905(x103332,a894),f905(x103332,f905(a894,a894)),x103332),f317(f8(a894,f905(a894,a894),x103332),a315)),f317(f317(f7(x103332,f905(x103332,x103332),f905(x103332,a894)),f317(f317(f8(f905(x103332,a894),f905(f905(x103332,x103332),f905(x103332,a894)),x103332),f8(x103332,a894,x103332)),a314)),f317(f74(x103332),x103333))))),f317(f317(f7(x103332,f905(x103332,a894),a894),f319(x103332)),x103331))))),f317(f317(f74(x103332),x103333),f14(x103332,x103331))) % 199.88/201.01 [10334]~P80(x103342)+E(x103341,f178(f905(x103342,a894)))+~P1(f317(f28(x103342),x103341))+E(f15(x103342,f317(f252(x103342),f317(f317(f8(f905(x103342,a894),a894,x103342),f81(x103342)),f317(f317(f7(x103342,f905(x103342,a894),f905(x103342,a894)),f317(f317(f8(f905(x103342,f905(a894,a894)),f905(f905(x103342,a894),f905(x103342,a894)),x103342),f18(x103342,a894,a894)),f317(f317(f8(f905(x103342,a894),f905(x103342,f905(a894,a894)),x103342),f317(f8(a894,f905(a894,a894),x103342),a315)),f317(f317(f7(x103342,f905(x103342,x103342),f905(x103342,a894)),f317(f317(f8(f905(x103342,a894),f905(f905(x103342,x103342),f905(x103342,a894)),x103342),f8(x103342,a894,x103342)),a314)),f317(f74(x103342),x103343))))),f317(f317(f7(x103342,f905(x103342,a894),a894),f319(x103342)),x103341))))),f317(f317(f74(x103342),x103343),f15(x103342,x103341))) % 199.88/201.01 [10335]~P101(x103352)+E(x103351,f178(f905(x103352,a894)))+~P1(f317(f28(x103352),x103351))+E(f10(x103352,f317(f252(x103352),f317(f317(f8(f905(x103352,a894),a894,x103352),f81(x103352)),f317(f317(f7(x103352,f905(x103352,a894),f905(x103352,a894)),f317(f317(f8(f905(x103352,f905(a894,a894)),f905(f905(x103352,a894),f905(x103352,a894)),x103352),f18(x103352,a894,a894)),f317(f317(f8(f905(x103352,a894),f905(x103352,f905(a894,a894)),x103352),f317(f8(a894,f905(a894,a894),x103352),a315)),f317(f317(f7(x103352,f905(x103352,x103352),f905(x103352,a894)),f317(f317(f8(f905(x103352,a894),f905(f905(x103352,x103352),f905(x103352,a894)),x103352),f8(x103352,a894,x103352)),a314)),f317(f91(x103352),x103353))))),f317(f317(f7(x103352,f905(x103352,a894),a894),f319(x103352)),x103351))))),f317(f317(f91(x103352),x103353),f10(x103352,x103351))) % 199.88/201.01 [10336]~P101(x103362)+E(x103361,f178(f905(x103362,a894)))+~P1(f317(f28(x103362),x103361))+E(f13(x103362,f317(f252(x103362),f317(f317(f8(f905(x103362,a894),a894,x103362),f81(x103362)),f317(f317(f7(x103362,f905(x103362,a894),f905(x103362,a894)),f317(f317(f8(f905(x103362,f905(a894,a894)),f905(f905(x103362,a894),f905(x103362,a894)),x103362),f18(x103362,a894,a894)),f317(f317(f8(f905(x103362,a894),f905(x103362,f905(a894,a894)),x103362),f317(f8(a894,f905(a894,a894),x103362),a315)),f317(f317(f7(x103362,f905(x103362,x103362),f905(x103362,a894)),f317(f317(f8(f905(x103362,a894),f905(f905(x103362,x103362),f905(x103362,a894)),x103362),f8(x103362,a894,x103362)),a314)),f317(f92(x103362),x103363))))),f317(f317(f7(x103362,f905(x103362,a894),a894),f319(x103362)),x103361))))),f317(f317(f92(x103362),x103363),f13(x103362,x103361))) % 199.88/201.01 [10337]~P108(x103372)+E(x103371,f178(f905(x103372,a894)))+~P1(f317(f28(x103372),x103371))+E(f12(x103372,f224(x103372),f317(f252(x103372),f317(f317(f8(f905(x103372,a894),a894,x103372),f81(x103372)),f317(f317(f7(x103372,f905(x103372,a894),f905(x103372,a894)),f317(f317(f8(f905(x103372,f905(a894,a894)),f905(f905(x103372,a894),f905(x103372,a894)),x103372),f18(x103372,a894,a894)),f317(f317(f8(f905(x103372,a894),f905(x103372,f905(a894,a894)),x103372),f317(f8(a894,f905(a894,a894),x103372),a315)),f317(f317(f7(x103372,f905(x103372,x103372),f905(x103372,a894)),f317(f317(f8(f905(x103372,a894),f905(f905(x103372,x103372),f905(x103372,a894)),x103372),f8(x103372,a894,x103372)),a314)),f317(f229(x103372),x103373))))),f317(f317(f7(x103372,f905(x103372,a894),a894),f319(x103372)),x103371))))),f317(f317(f229(x103372),x103373),f12(x103372,f224(x103372),x103371))) % 199.88/201.01 [10338]~P108(x103382)+E(x103381,f178(f905(x103382,a894)))+~P1(f317(f28(x103382),x103381))+E(f11(x103382,f229(x103382),f317(f252(x103382),f317(f317(f8(f905(x103382,a894),a894,x103382),f81(x103382)),f317(f317(f7(x103382,f905(x103382,a894),f905(x103382,a894)),f317(f317(f8(f905(x103382,f905(a894,a894)),f905(f905(x103382,a894),f905(x103382,a894)),x103382),f18(x103382,a894,a894)),f317(f317(f8(f905(x103382,a894),f905(x103382,f905(a894,a894)),x103382),f317(f8(a894,f905(a894,a894),x103382),a315)),f317(f317(f7(x103382,f905(x103382,x103382),f905(x103382,a894)),f317(f317(f8(f905(x103382,a894),f905(f905(x103382,x103382),f905(x103382,a894)),x103382),f8(x103382,a894,x103382)),a314)),f317(f224(x103382),x103383))))),f317(f317(f7(x103382,f905(x103382,a894),a894),f319(x103382)),x103381))))),f317(f317(f224(x103382),x103383),f11(x103382,f229(x103382),x103381))) % 199.88/201.01 [10052]~P111(x100521)+~E(x100523,f2(x100521))+~E(x100522,f2(x100521))+E(f317(f317(f74(x100521),f317(f317(f234(x100521),x100522),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x100521),x100523),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f2(x100521)) % 199.88/201.01 [10205]~P110(x102051)+~P1(f317(f317(f225(x102051),f2(x102051)),x102053))+P1(f317(f317(f225(x102051),x102052),x102053))+~P1(f317(f317(f225(x102051),f317(f317(f234(x102051),x102052),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102051),x102053),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))))) % 199.88/201.01 [10262]~P111(x102622)+~E(x102621,f2(x102622))+~E(x102623,f2(x102622))+~P1(f317(f317(f226(x102622),f2(x102622)),f317(f317(f74(x102622),f317(f317(f234(x102622),x102623),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))),f317(f317(f234(x102622),x102621),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))))) % 199.88/201.01 [6798]~P7(x67983,x67982)+~P1(f317(x67981,x67984))+~P1(f317(f317(f319(x67983),x67984),f260(x67983,x67982)))+P1(f317(x67981,f800(x67981,x67982,x67983))) % 199.88/201.01 [8719]P25(x87191,x87192,f804(x87193,x87192,x87194,x87191),x87194,x87193)+~E(f317(f29(x87191),x87194),f317(f29(x87192),x87193))+~P1(f317(f28(x87192),x87193))+~P1(f317(f28(x87191),x87194)) % 199.88/201.01 [9433]E(x94331,x94332)+~E(f634(x94331,x94332,x94334,x94333),f635(x94331,x94332,x94334,x94333))+P1(f317(f317(f319(f904(f899(x94333),f899(x94333))),f317(f317(f242(f899(x94333),f899(x94333)),x94332),x94331)),f137(x94333,x94334)))+P1(f317(f317(f319(f904(f899(x94333),f899(x94333))),f317(f317(f242(f899(x94333),f899(x94333)),x94331),x94332)),f137(x94333,x94334))) % 199.88/201.01 [4911]~P61(x49112)+~E(x49114,f2(x49112))+~E(x49111,f2(x49112))+E(x49111,f317(f317(f281(x49112),x49113),x49114)) % 199.88/201.01 [4912]~P61(x49121)+~E(x49123,f2(x49121))+~E(x49124,f2(x49121))+E(f317(f317(f281(x49121),x49122),x49123),x49124) % 199.88/201.01 [5032]~P61(x50322)+E(x50321,f2(x50322))+~E(x50323,f2(x50322))+~E(x50321,f317(f317(f281(x50322),x50324),x50323)) % 199.88/201.01 [5033]~P61(x50332)+E(x50331,f2(x50332))+~E(x50333,f2(x50332))+~E(f317(f317(f281(x50332),x50334),x50333),x50331) % 199.88/201.01 [5216]~P122(x52162)+E(x52161,f2(x52162))+~E(f317(f317(f281(x52162),x52163),x52161),x52164)+E(x52163,f317(f317(f75(x52162),x52164),x52161)) % 199.88/201.01 [5218]~P122(x52182)+E(x52181,f2(x52182))+~E(f317(f317(f75(x52182),x52183),x52181),x52184)+E(x52183,f317(f317(f281(x52182),x52184),x52181)) % 199.88/201.01 [5219]~P61(x52192)+E(x52191,f2(x52192))+~E(f317(f317(f281(x52192),x52193),x52191),x52194)+E(x52193,f317(f317(f75(x52192),x52194),x52191)) % 199.88/201.01 [5220]~P61(x52202)+E(x52201,f2(x52202))+~E(f317(f317(f75(x52202),x52203),x52201),x52204)+E(x52203,f317(f317(f281(x52202),x52204),x52201)) % 199.88/201.01 [5221]~P122(x52212)+E(x52211,f2(x52212))+~E(x52213,f317(f317(f281(x52212),x52214),x52211))+E(f317(f317(f75(x52212),x52213),x52211),x52214) % 199.88/201.01 [5223]~P122(x52232)+E(x52231,f2(x52232))+~E(x52233,f317(f317(f75(x52232),x52234),x52231))+E(f317(f317(f281(x52232),x52233),x52231),x52234) % 199.88/201.01 [5224]~P61(x52242)+E(x52241,f2(x52242))+~E(x52243,f317(f317(f281(x52242),x52244),x52241))+E(f317(f317(f75(x52242),x52243),x52241),x52244) % 199.88/201.01 [5225]~P61(x52252)+E(x52251,f2(x52252))+~E(x52253,f317(f317(f75(x52252),x52254),x52251))+E(f317(f317(f281(x52252),x52253),x52251),x52254) % 199.88/201.01 [5249]~P61(x52492)+~E(x52491,f2(x52492))+~E(f317(f317(f75(x52492),x52491),x52494),x52493)+E(x52491,f317(f317(f281(x52492),x52493),x52494)) % 199.88/201.01 [5250]~P61(x52501)+~E(x52504,f2(x52501))+~E(x52502,f317(f317(f75(x52501),x52504),x52503))+E(f317(f317(f281(x52501),x52502),x52503),x52504) % 199.88/201.01 [5324]~E(x53243,x53244)+~E(x53242,x53243)+~P109(x53241)+E(f293(x53241,x53242,x53243),f317(f317(f299(x53241),x53244),f178(f905(x53241,a894)))) % 199.88/201.01 [5528]~E(f104(x55282,x55281),x55283)+~E(f134(x55282,x55281),x55284)+E(x55281,f103(x55282))+E(f317(f317(f124(x55282),x55283),f317(f317(f141(x55282),x55284),f103(x55282))),x55281) % 199.88/201.01 [6171]~P110(x61713)+E(x61711,x61712)+~E(f317(f317(f234(x61713),x61714),x61711),f317(f317(f234(x61713),x61714),x61712))+~P1(f317(f317(f226(x61713),f72(x61713)),x61714)) % 199.88/201.01 [6172]E(x61721,x61722)+~E(f317(f317(f299(x61723),x61724),x61721),f317(f317(f299(x61723),x61724),x61722))+P1(f317(f317(f319(x61723),x61724),x61722))+P1(f317(f317(f319(x61723),x61724),x61721)) % 199.88/201.01 [6215]E(f317(x62151,x62152),f72(a898))+~E(f317(f317(f9(x62153,a898),x62151),x62154),f72(a898))+~P1(f317(f28(x62153),x62154))+~P1(f317(f317(f319(x62153),x62152),x62154)) % 199.88/201.01 [6216]E(f317(x62161,x62162),f2(a898))+~E(f317(f317(f6(x62163,a898),x62161),x62164),f2(a898))+~P1(f317(f28(x62163),x62164))+~P1(f317(f317(f319(x62163),x62162),x62164)) % 199.88/201.01 [6444]~P109(x64441)+~P1(f317(f317(f225(x64441),x64444),x64443))+P1(f317(f317(f225(x64441),x64442),x64443))+~P1(f317(f317(f225(x64441),x64442),x64444)) % 199.88/201.01 [6445]~P65(x64451)+~P1(f317(f317(f225(x64451),x64452),x64454))+P1(f317(f317(f225(x64451),x64452),x64453))+~P1(f317(f317(f225(x64451),x64454),x64453)) % 199.88/201.01 [6446]~P109(x64461)+~P1(f317(f317(f226(x64461),x64464),x64463))+P1(f317(f317(f226(x64461),x64462),x64463))+~P1(f317(f317(f225(x64461),x64462),x64464)) % 199.88/201.01 [6447]~P109(x64471)+~P1(f317(f317(f226(x64471),x64472),x64474))+P1(f317(f317(f226(x64471),x64472),x64473))+~P1(f317(f317(f225(x64471),x64474),x64473)) % 199.88/201.01 [6448]~P109(x64481)+~P1(f317(f317(f226(x64481),x64484),x64483))+P1(f317(f317(f226(x64481),x64482),x64483))+~P1(f317(f317(f226(x64481),x64482),x64484)) % 199.88/201.01 [6449]~P65(x64491)+~P1(f317(f317(f226(x64491),x64492),x64494))+P1(f317(f317(f226(x64491),x64492),x64493))+~P1(f317(f317(f225(x64491),x64494),x64493)) % 199.88/201.01 [6450]~P65(x64501)+~P1(f317(f317(f226(x64501),x64504),x64503))+P1(f317(f317(f226(x64501),x64502),x64503))+~P1(f317(f317(f225(x64501),x64502),x64504)) % 199.88/201.01 [6451]~P65(x64511)+~P1(f317(f317(f226(x64511),x64512),x64514))+P1(f317(f317(f226(x64511),x64512),x64513))+~P1(f317(f317(f226(x64511),x64514),x64513)) % 199.88/201.01 [6452]~P112(x64521)+~P1(f317(f317(f277(x64521),x64522),x64524))+P1(f317(f317(f277(x64521),x64522),x64523))+~P1(f317(f317(f277(x64521),x64524),x64523)) % 199.88/201.01 [6534]~P34(x65344,x65343,x65342)+E(x65341,f734(x65342,x65343,x65344))+~P1(f317(x65343,x65341))+~P1(f317(f317(f319(x65344),x65341),f317(f162(x65344),x65342))) % 199.88/201.01 [6535]~P34(x65354,x65353,x65352)+E(x65351,f744(x65352,x65353,x65354))+~P1(f317(x65353,x65351))+~P1(f317(f317(f319(x65354),x65351),f317(f162(x65354),x65352))) % 199.88/201.01 [6689]~P5(x66891)+~P1(f317(f317(f225(x66891),x66892),f32(x66891,x66894)))+P1(f317(f317(f225(x66891),x66892),x66893))+~P1(f317(f317(f319(x66891),x66893),x66894)) % 199.88/201.01 [6840]~P108(x68401)+~P13(x68401,f317(f317(f141(x68401),x68402),x68404))+~P1(f317(f317(f319(x68401),x68403),f317(f162(x68401),x68404)))+P1(f317(f317(f225(x68401),x68402),x68403)) % 199.88/201.01 [6930]~P5(x69301)+~P1(f317(f317(f225(x69301),f31(x69301,x69304)),x69303))+P1(f317(f317(f225(x69301),x69302),x69303))+~P1(f317(f317(f319(x69301),x69302),x69304)) % 199.88/201.01 [7077]~P3(x70771)+P1(f317(f317(f277(x70771),x70772),f40(x70771,x70773,x70774)))+~P1(f317(f317(f277(x70771),x70772),x70774))+~P1(f317(f317(f277(x70771),x70772),x70773)) % 199.88/201.01 [7341]~P108(x73411)+E(f317(f317(f91(f905(x73411,a894)),f317(f292(x73411,x73412),x73413)),f317(f292(x73411,x73413),x73414)),f317(f292(x73411,x73412),x73414))+~P1(f317(f317(f225(x73411),x73413),x73414))+~P1(f317(f317(f225(x73411),x73412),x73413)) % 199.88/201.01 [7385]P34(x73851,x73852,x73853)+~E(f746(x73853,x73852,x73851,x73854),x73854)+~P1(f317(x73852,x73854))+~P1(f317(f317(f319(x73851),x73854),f317(f162(x73851),x73853))) % 199.88/201.01 [7386]P34(x73861,x73862,x73863)+~E(f754(x73863,x73862,x73861,x73864),x73864)+~P1(f317(x73862,x73864))+~P1(f317(f317(f319(x73861),x73864),f317(f162(x73861),x73863))) % 199.88/201.01 [7429]~P3(x74291)+~P1(f317(f317(f277(x74291),x74292),f40(x74291,x74293,x74294)))+P1(f317(f317(f277(x74291),x74292),x74293))+~P1(f317(f317(f277(x74291),x74292),x74294)) % 199.88/201.01 [7463]~P108(x74631)+E(f317(f317(f91(f905(x74631,a894)),f317(f292(x74631,x74632),x74633)),f293(x74631,x74633,x74634)),f293(x74631,x74632,x74634))+~P1(f317(f317(f225(x74631),x74633),x74634))+~P1(f317(f317(f225(x74631),x74632),x74633)) % 199.88/201.01 [7525]~P108(x75251)+E(f317(f317(f91(f905(x75251,a894)),f296(x75251,x75252,x75253)),f317(f292(x75251,x75253),x75254)),f296(x75251,x75252,x75254))+~P1(f317(f317(f225(x75251),x75253),x75254))+~P1(f317(f317(f226(x75251),x75252),x75253)) % 199.88/201.01 [7542]~P108(x75421)+E(f317(f317(f91(f905(x75421,a894)),f293(x75421,x75422,x75423)),f296(x75421,x75423,x75424)),f317(f292(x75421,x75422),x75424))+~P1(f317(f317(f225(x75421),x75422),x75423))+~P1(f317(f317(f226(x75421),x75423),x75424)) % 199.88/201.01 [7572]~P108(x75721)+E(f317(f317(f91(f905(x75721,a894)),f296(x75721,x75722,x75723)),f293(x75721,x75723,x75724)),f295(x75721,x75722,x75724))+~P1(f317(f317(f225(x75721),x75723),x75724))+~P1(f317(f317(f226(x75721),x75722),x75723)) % 199.88/201.01 [7573]~P108(x75731)+E(f317(f317(f91(f905(x75731,a894)),f295(x75731,x75732,x75733)),f296(x75731,x75733,x75734)),f296(x75731,x75732,x75734))+~P1(f317(f317(f225(x75731),x75732),x75733))+~P1(f317(f317(f226(x75731),x75733),x75734)) % 199.88/201.01 [7574]~P108(x75741)+E(f317(f317(f91(f905(x75741,a894)),f295(x75741,x75742,x75743)),f295(x75741,x75743,x75744)),f295(x75741,x75742,x75744))+~P1(f317(f317(f225(x75741),x75743),x75744))+~P1(f317(f317(f225(x75741),x75742),x75743)) % 199.88/201.01 [7575]~P108(x75751)+E(f317(f317(f91(f905(x75751,a894)),f293(x75751,x75752,x75753)),f295(x75751,x75753,x75754)),f293(x75751,x75752,x75754))+~P1(f317(f317(f225(x75751),x75753),x75754))+~P1(f317(f317(f225(x75751),x75752),x75753)) % 199.88/201.01 [8365]P24(x83651,x83652,f503(x83653,x83652,x83654,x83651),x83654)+~P1(f317(f28(x83652),x83653))+~P1(f317(f28(x83651),x83654))+~P1(f317(f317(f225(a898),f317(f29(x83651),x83654)),f317(f29(x83652),x83653))) % 199.88/201.01 [8386]P34(x83861,x83862,x83863)+~P1(f317(x83862,x83864))+P1(f317(x83862,f746(x83863,x83862,x83861,x83864)))+~P1(f317(f317(f319(x83861),x83864),f317(f162(x83861),x83863))) % 199.88/201.01 [8387]P34(x83871,x83872,x83873)+~P1(f317(x83872,x83874))+P1(f317(x83872,f754(x83873,x83872,x83871,x83874)))+~P1(f317(f317(f319(x83871),x83874),f317(f162(x83871),x83873))) % 199.88/201.01 [8441]~P78(x84411)+~E(f317(x84413,f700(x84413,x84414,x84412,x84411)),f72(x84411))+E(f317(f317(f317(f59(x84411,x84412,f75(x84411)),x84413),f72(x84411)),x84414),f72(x84411))+~P1(f317(f28(x84412),x84414)) % 199.88/201.01 [8708]~P110(x87081)+~P1(f317(f317(f225(x87081),f2(x87081)),x87083))+P1(f317(f317(f225(x87081),x87082),x87083))+~P1(f317(f317(f225(x87081),f317(f317(f234(x87081),x87082),f317(a102,x87084))),f317(f317(f234(x87081),x87083),f317(a102,x87084)))) % 199.88/201.01 [9026]P34(x90261,x90262,x90263)+~P1(f317(x90262,x90264))+~P1(f317(f317(f319(x90261),x90264),f317(f162(x90261),x90263)))+P1(f317(f317(f319(x90261),f746(x90263,x90262,x90261,x90264)),f317(f162(x90261),x90263))) % 199.88/201.01 [9027]P34(x90271,x90272,x90273)+~P1(f317(x90272,x90274))+~P1(f317(f317(f319(x90271),x90274),f317(f162(x90271),x90273)))+P1(f317(f317(f319(x90271),f754(x90273,x90272,x90271,x90274)),f317(f162(x90271),x90273))) % 199.88/201.01 [9103]~P78(x91031)+E(f317(f317(f317(f59(x91031,x91032,f75(x91031)),x91033),f72(x91031)),x91034),f72(x91031))+~P1(f317(f28(x91032),x91034))+P1(f317(f317(f319(x91032),f700(x91033,x91034,x91032,x91031)),x91034)) % 199.88/201.01 [9368]~P8(x93682,x93683,x93684)+~P1(f317(f28(x93682),x93683))+~P1(f317(f317(f277(a898),x93681),f317(f29(x93682),f835(x93681,x93684,x93683,x93682))))+P1(f317(f317(f277(a898),x93681),f317(f29(x93682),x93683))) % 199.88/201.01 [9607]~P1(f317(f317(f277(a898),x96071),x96073))+~P1(f317(f317(f277(a898),x96071),x96072))+~P1(f317(f317(f277(a898),x96074),x96073))+~P1(f317(f317(f226(f905(a898,a894)),f280(a898,f277(a898),x96071,x96073)),f280(a898,f277(a898),x96072,x96074))) % 199.88/201.01 [9612]~P1(f317(f317(f225(a1),x96124),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96121),f40(a1,x96122,x96123))),x96124)),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x96123))+~P1(f317(f317(f226(a1),x96121),x96124)) % 199.88/201.01 [10045]~P1(f317(f28(x100451),x100452))+~P1(f317(f317(f319(x100451),x100454),x100452))+~P1(f317(f317(f319(x100451),x100453),x100452))+P1(f317(f317(f226(a898),f317(f29(x100451),f317(f317(f23(f905(x100451,a894)),f317(f317(f23(f905(x100451,a894)),x100452),f317(f317(f299(x100451),x100453),f178(f905(x100451,a894))))),f317(f317(f299(x100451),x100454),f178(f905(x100451,a894)))))),f317(f29(x100451),x100452))) % 199.88/201.01 [6988]~P145(x69883)+~P121(x69883)+P1(f317(x69881,f832(x69882,x69881,x69883)))+~P1(f317(x69881,f317(f317(f75(x69883),x69882),x69884))) % 199.88/201.01 [7049]~P108(x70491)+~P1(f317(f317(f225(x70491),x70492),x70494))+~P1(f317(f317(f225(x70491),x70492),x70493))+P1(f317(f317(f225(x70491),x70492),f317(f317(f229(x70491),x70493),x70494))) % 199.88/201.01 [7052]~P104(x70521)+~P1(f317(f317(f225(x70521),x70522),x70524))+~P1(f317(f317(f225(x70521),x70522),x70523))+P1(f317(f317(f225(x70521),x70522),f317(f317(f92(x70521),x70523),x70524))) % 199.88/201.01 [7053]~P108(x70531)+~P1(f317(f317(f226(x70531),x70532),x70534))+~P1(f317(f317(f226(x70531),x70532),x70533))+P1(f317(f317(f226(x70531),x70532),f317(f317(f229(x70531),x70533),x70534))) % 199.88/201.01 [7054]~P114(x70541)+~P1(f317(f317(f277(x70541),x70542),x70544))+~P1(f317(f317(f277(x70541),x70542),x70543))+P1(f317(f317(f277(x70541),x70542),f317(f317(f23(x70541),x70543),x70544))) % 199.88/201.01 [7055]~P112(x70551)+~P1(f317(f317(f277(x70551),x70552),x70554))+~P1(f317(f317(f277(x70551),x70552),x70553))+P1(f317(f317(f277(x70551),x70552),f317(f317(f74(x70551),x70553),x70554))) % 199.88/201.01 [7075]~P62(x70752)+E(x70751,f2(x70752))+E(f317(f317(f281(x70752),f317(f317(f234(x70752),x70751),x70753)),f317(f317(f234(x70752),x70751),x70754)),f317(f317(f234(x70752),x70751),f317(f317(f23(a898),x70753),x70754)))+~P1(f317(f317(f225(a898),x70754),x70753)) % 199.88/201.01 [7121]~P108(x71211)+~P13(x71211,f317(f317(f141(x71211),x71213),x71214))+P13(x71211,f317(f317(f141(x71211),x71212),f317(f317(f141(x71211),x71213),x71214)))+~P1(f317(f317(f225(x71211),x71212),x71213)) % 199.88/201.01 [7157]~P88(x71571)+~P1(f317(f317(f225(x71571),f2(x71571)),x71574))+~P1(f317(f317(f225(x71571),x71572),x71573))+P1(f317(f317(f225(x71571),x71572),f317(f317(f74(x71571),x71573),x71574))) % 199.88/201.01 [7158]~P88(x71581)+~P1(f317(f317(f225(x71581),f2(x71581)),x71583))+~P1(f317(f317(f225(x71581),x71582),x71584))+P1(f317(f317(f225(x71581),x71582),f317(f317(f74(x71581),x71583),x71584))) % 199.88/201.01 [7159]~P110(x71591)+~P1(f317(f317(f226(x71591),f2(x71591)),x71593))+~P1(f317(f317(f226(x71591),x71592),x71594))+P1(f317(f317(f226(x71591),x71592),f317(f317(f74(x71591),x71593),x71594))) % 199.88/201.01 [7160]~P88(x71601)+~P1(f317(f317(f225(x71601),x71602),x71604))+~P1(f317(f317(f226(x71601),f2(x71601)),x71603))+P1(f317(f317(f226(x71601),x71602),f317(f317(f74(x71601),x71603),x71604))) % 199.88/201.01 [7161]~P88(x71611)+~P1(f317(f317(f225(x71611),f2(x71611)),x71613))+~P1(f317(f317(f226(x71611),x71612),x71614))+P1(f317(f317(f226(x71611),x71612),f317(f317(f74(x71611),x71613),x71614))) % 199.88/201.01 [7202]~P108(x72021)+P1(f317(f317(f225(x72021),x72022),x72023))+P1(f317(f317(f225(x72021),x72022),x72024))+~P1(f317(f317(f225(x72021),x72022),f317(f317(f224(x72021),x72024),x72023))) % 199.88/201.01 [7203]~P108(x72031)+P1(f317(f317(f226(x72031),x72032),x72033))+P1(f317(f317(f226(x72031),x72032),x72034))+~P1(f317(f317(f226(x72031),x72032),f317(f317(f224(x72031),x72034),x72033))) % 199.88/201.01 [7497]~P109(x74972)+~P60(x74971)+~P1(f317(f317(f226(f905(x74971,x74972)),x74973),x74974))+P1(f317(f317(f225(f905(x74971,x74972)),x74973),x74974)) % 199.88/201.01 [7863]~P64(x78631)+~P1(f317(f317(f226(x78631),x78634),f2(x78631)))+~P1(f317(f317(f225(x78631),x78633),f317(f317(f281(x78631),x78632),x78634)))+P1(f317(f317(f225(x78631),x78632),f317(f317(f75(x78631),x78633),x78634))) % 199.88/201.01 [7864]~P64(x78641)+~P1(f317(f317(f226(x78641),x78644),f2(x78641)))+~P1(f317(f317(f225(x78641),x78643),f317(f317(f75(x78641),x78642),x78644)))+P1(f317(f317(f225(x78641),x78642),f317(f317(f281(x78641),x78643),x78644))) % 199.88/201.01 [7865]~P64(x78651)+~P1(f317(f317(f226(x78651),x78654),f2(x78651)))+~P1(f317(f317(f226(x78651),x78653),f317(f317(f281(x78651),x78652),x78654)))+P1(f317(f317(f226(x78651),x78652),f317(f317(f75(x78651),x78653),x78654))) % 199.88/201.01 [7866]~P64(x78661)+~P1(f317(f317(f226(x78661),x78664),f2(x78661)))+~P1(f317(f317(f226(x78661),x78663),f317(f317(f75(x78661),x78662),x78664)))+P1(f317(f317(f226(x78661),x78662),f317(f317(f281(x78661),x78663),x78664))) % 199.88/201.01 [7973]~P136(x79731)+~P1(f317(f317(f225(x79731),x79732),f2(x79731)))+~P1(f317(f317(f225(x79731),x79734),x79733))+P1(f317(f317(f225(x79731),f317(f317(f75(x79731),x79732),x79733)),f317(f317(f75(x79731),x79732),x79734))) % 199.88/201.01 [7974]~P125(x79741)+~P1(f317(f317(f226(x79741),x79742),f2(x79741)))+~P1(f317(f317(f225(x79741),x79744),x79743))+P1(f317(f317(f225(x79741),f317(f317(f75(x79741),x79742),x79743)),f317(f317(f75(x79741),x79742),x79744))) % 199.88/201.01 [7975]~P136(x79751)+~P1(f317(f317(f225(x79751),x79753),f2(x79751)))+~P1(f317(f317(f225(x79751),x79754),x79752))+P1(f317(f317(f225(x79751),f317(f317(f75(x79751),x79752),x79753)),f317(f317(f75(x79751),x79754),x79753))) % 199.88/201.01 [7976]~P63(x79761)+~P1(f317(f317(f225(x79761),x79763),f2(x79761)))+~P1(f317(f317(f225(x79761),x79764),x79762))+P1(f317(f317(f225(x79761),f317(f317(f281(x79761),x79762),x79763)),f317(f317(f281(x79761),x79764),x79763))) % 199.88/201.01 [7980]~P125(x79801)+~P1(f317(f317(f226(x79801),x79803),f2(x79801)))+~P1(f317(f317(f226(x79801),x79804),x79802))+P1(f317(f317(f226(x79801),f317(f317(f75(x79801),x79802),x79803)),f317(f317(f75(x79801),x79804),x79803))) % 199.88/201.01 [7981]~P125(x79811)+~P1(f317(f317(f226(x79811),x79812),f2(x79811)))+~P1(f317(f317(f226(x79811),x79814),x79813))+P1(f317(f317(f226(x79811),f317(f317(f75(x79811),x79812),x79813)),f317(f317(f75(x79811),x79812),x79814))) % 199.88/201.01 [7982]~P64(x79821)+~P1(f317(f317(f226(x79821),x79823),f2(x79821)))+~P1(f317(f317(f226(x79821),x79824),x79822))+P1(f317(f317(f226(x79821),f317(f317(f281(x79821),x79822),x79823)),f317(f317(f281(x79821),x79824),x79823))) % 199.88/201.01 [7983]~P110(x79831)+~P1(f317(f317(f226(x79831),f72(x79831)),x79832))+~P1(f317(f317(f225(a898),x79833),x79834))+P1(f317(f317(f225(x79831),f317(f317(f234(x79831),x79832),x79833)),f317(f317(f234(x79831),x79832),x79834))) % 199.88/201.01 [7984]~P110(x79841)+~P1(f317(f317(f225(x79841),f72(x79841)),x79842))+~P1(f317(f317(f225(a898),x79843),x79844))+P1(f317(f317(f225(x79841),f317(f317(f234(x79841),x79842),x79843)),f317(f317(f234(x79841),x79842),x79844))) % 199.88/201.01 [7986]~P110(x79861)+~P1(f317(f317(f226(x79861),f72(x79861)),x79862))+~P1(f317(f317(f226(a898),x79863),x79864))+P1(f317(f317(f226(x79861),f317(f317(f234(x79861),x79862),x79863)),f317(f317(f234(x79861),x79862),x79864))) % 199.88/201.01 [8013]P1(f317(f317(f226(a898),f2(a898)),f317(x80131,x80132)))+~P1(f317(f28(x80133),x80134))+~P1(f317(f317(f319(x80133),x80132),x80134))+~P1(f317(f317(f226(a898),f2(a898)),f317(f317(f9(x80133,a898),x80131),x80134))) % 199.88/201.01 [8022]~P138(x80221)+~P1(f317(f317(f225(x80221),x80223),x80224))+~P1(f317(f317(f225(x80221),f2(x80221)),x80222))+P1(f317(f317(f225(x80221),f317(f317(f75(x80221),x80222),x80223)),f317(f317(f75(x80221),x80222),x80224))) % 199.88/201.01 [8023]~P137(x80231)+~P1(f317(f317(f225(x80231),x80233),x80234))+~P1(f317(f317(f225(x80231),f2(x80231)),x80232))+P1(f317(f317(f225(x80231),f317(f317(f75(x80231),x80232),x80233)),f317(f317(f75(x80231),x80232),x80234))) % 199.88/201.01 [8024]~P125(x80241)+~P1(f317(f317(f226(x80241),f2(x80241)),x80242))+~P1(f317(f317(f225(x80241),x80243),x80244))+P1(f317(f317(f225(x80241),f317(f317(f75(x80241),x80242),x80243)),f317(f317(f75(x80241),x80242),x80244))) % 199.88/201.01 [8025]~P138(x80251)+~P1(f317(f317(f225(x80251),x80252),x80254))+~P1(f317(f317(f225(x80251),f2(x80251)),x80253))+P1(f317(f317(f225(x80251),f317(f317(f75(x80251),x80252),x80253)),f317(f317(f75(x80251),x80254),x80253))) % 199.88/201.01 [8026]~P110(x80261)+~P1(f317(f317(f225(x80261),x80262),x80264))+~P1(f317(f317(f225(x80261),f2(x80261)),x80262))+P1(f317(f317(f225(x80261),f317(f317(f234(x80261),x80262),x80263)),f317(f317(f234(x80261),x80264),x80263))) % 199.88/201.01 [8027]~P63(x80271)+~P1(f317(f317(f225(x80271),x80272),x80274))+~P1(f317(f317(f225(x80271),f2(x80271)),x80273))+P1(f317(f317(f225(x80271),f317(f317(f281(x80271),x80272),x80273)),f317(f317(f281(x80271),x80274),x80273))) % 199.88/201.01 [8029]~P131(x80291)+~P1(f317(f317(f226(x80291),x80293),x80294))+~P1(f317(f317(f226(x80291),f2(x80291)),x80292))+P1(f317(f317(f226(x80291),f317(f317(f75(x80291),x80292),x80293)),f317(f317(f75(x80291),x80292),x80294))) % 199.88/201.01 [8030]~P119(x80301)+~P1(f317(f317(f226(x80301),x80303),x80304))+~P1(f317(f317(f226(x80301),f2(x80301)),x80302))+P1(f317(f317(f226(x80301),f317(f317(f75(x80301),x80302),x80303)),f317(f317(f75(x80301),x80302),x80304))) % 199.88/201.01 [8031]~P125(x80311)+~P1(f317(f317(f226(x80311),x80312),x80314))+~P1(f317(f317(f226(x80311),f2(x80311)),x80313))+P1(f317(f317(f226(x80311),f317(f317(f75(x80311),x80312),x80313)),f317(f317(f75(x80311),x80314),x80313))) % 199.88/201.01 [8032]~P131(x80321)+~P1(f317(f317(f226(x80321),x80322),x80324))+~P1(f317(f317(f226(x80321),f2(x80321)),x80323))+P1(f317(f317(f226(x80321),f317(f317(f75(x80321),x80322),x80323)),f317(f317(f75(x80321),x80324),x80323))) % 199.88/201.01 [8033]~P125(x80331)+~P1(f317(f317(f226(x80331),x80333),x80334))+~P1(f317(f317(f226(x80331),f2(x80331)),x80332))+P1(f317(f317(f226(x80331),f317(f317(f75(x80331),x80332),x80333)),f317(f317(f75(x80331),x80332),x80334))) % 199.88/201.01 [8034]~P64(x80341)+~P1(f317(f317(f226(x80341),x80342),x80344))+~P1(f317(f317(f226(x80341),f2(x80341)),x80343))+P1(f317(f317(f226(x80341),f317(f317(f281(x80341),x80342),x80343)),f317(f317(f281(x80341),x80344),x80343))) % 199.88/201.01 [8076]~P107(x80762)+P1(f317(f317(f226(f905(x80761,x80762)),x80764),x80763))+~P1(f317(f317(f225(f905(x80761,x80762)),x80764),x80763))+P1(f317(f317(f225(f905(x80761,x80762)),x80763),x80764)) % 199.88/201.01 [8116]P1(f317(f317(f319(x81161),x81162),x81163))+P1(f317(f317(f319(x81161),x81162),x81164))+~P1(f317(f317(f225(f905(x81161,a894)),x81164),x81163))+P1(f317(f317(f226(f905(x81161,a894)),x81164),f317(f317(f299(x81161),x81162),x81163))) % 199.88/201.01 [8227]~P120(x82272)+E(x82271,f2(x82272))+P1(f317(f317(f277(x82272),x82273),x82274))+~P1(f317(f317(f277(x82272),f317(f317(f75(x82272),x82273),x82271)),f317(f317(f75(x82272),x82274),x82271))) % 199.88/201.01 [8228]~P120(x82282)+E(x82281,f2(x82282))+P1(f317(f317(f277(x82282),x82283),x82284))+~P1(f317(f317(f277(x82282),f317(f317(f75(x82282),x82281),x82283)),f317(f317(f75(x82282),x82281),x82284))) % 199.88/201.01 [8277]P1(f317(f317(f319(x82771),x82772),x82773))+P1(f317(f317(f319(x82771),x82772),x82774))+~P1(f317(f317(f226(f905(x82771,a894)),x82774),f317(f317(f299(x82771),x82772),x82773)))+P1(f317(f317(f225(f905(x82771,a894)),x82774),x82773)) % 199.88/201.01 [8342]~P125(x83421)+P1(f317(f317(f226(x83421),x83423),x83422))+P1(f317(f317(f226(x83421),x83422),x83423))+~P1(f317(f317(f226(x83421),f317(f317(f75(x83421),x83424),x83422)),f317(f317(f75(x83421),x83424),x83423))) % 199.88/201.01 [8343]~P125(x83431)+P1(f317(f317(f226(x83431),x83433),x83432))+P1(f317(f317(f226(x83431),x83432),x83433))+~P1(f317(f317(f226(x83431),f317(f317(f75(x83431),x83432),x83434)),f317(f317(f75(x83431),x83433),x83434))) % 199.88/201.01 [8355]~P125(x83551)+P1(f317(f317(f226(x83551),x83554),f2(x83551)))+P1(f317(f317(f226(x83551),x83552),x83553))+~P1(f317(f317(f226(x83551),f317(f317(f75(x83551),x83552),x83554)),f317(f317(f75(x83551),x83553),x83554))) % 199.88/201.01 [8356]~P125(x83561)+P1(f317(f317(f226(x83561),x83564),f2(x83561)))+P1(f317(f317(f226(x83561),x83562),x83563))+~P1(f317(f317(f226(x83561),f317(f317(f75(x83561),x83564),x83562)),f317(f317(f75(x83561),x83564),x83563))) % 199.88/201.01 [8359]~P125(x83591)+P1(f317(f317(f226(x83591),x83592),x83593))+P1(f317(f317(f226(x83591),f2(x83591)),x83594))+~P1(f317(f317(f226(x83591),f317(f317(f75(x83591),x83594),x83593)),f317(f317(f75(x83591),x83594),x83592))) % 199.88/201.01 [8360]~P125(x83601)+P1(f317(f317(f226(x83601),x83602),x83603))+P1(f317(f317(f226(x83601),f2(x83601)),x83604))+~P1(f317(f317(f226(x83601),f317(f317(f75(x83601),x83603),x83604)),f317(f317(f75(x83601),x83602),x83604))) % 199.88/201.01 [8373]~P125(x83731)+P1(f317(f317(f226(x83731),x83732),f2(x83731)))+P1(f317(f317(f226(x83731),f2(x83731)),x83732))+~P1(f317(f317(f226(x83731),f317(f317(f75(x83731),x83733),x83732)),f317(f317(f75(x83731),x83734),x83732))) % 199.88/201.01 [8374]~P125(x83741)+P1(f317(f317(f226(x83741),x83742),f2(x83741)))+P1(f317(f317(f226(x83741),f2(x83741)),x83742))+~P1(f317(f317(f226(x83741),f317(f317(f75(x83741),x83742),x83743)),f317(f317(f75(x83741),x83742),x83744))) % 199.88/201.01 [8403]~P125(x84031)+~P1(f317(f317(f226(x84031),x84034),f2(x84031)))+P1(f317(f317(f225(x84031),x84032),x84033))+~P1(f317(f317(f225(x84031),f317(f317(f75(x84031),x84034),x84033)),f317(f317(f75(x84031),x84034),x84032))) % 199.88/201.01 [8404]~P125(x84041)+~P1(f317(f317(f226(x84041),x84044),f2(x84041)))+P1(f317(f317(f226(x84041),x84042),x84043))+~P1(f317(f317(f226(x84041),f317(f317(f75(x84041),x84044),x84043)),f317(f317(f75(x84041),x84044),x84042))) % 199.88/201.01 [8415]~P110(x84153)+~P1(f317(f317(f226(x84153),f72(x84153)),x84154))+P1(f317(f317(f225(a898),x84151),x84152))+~P1(f317(f317(f225(x84153),f317(f317(f234(x84153),x84154),x84151)),f317(f317(f234(x84153),x84154),x84152))) % 199.88/201.01 [8417]~P110(x84173)+~P1(f317(f317(f226(x84173),f72(x84173)),x84174))+P1(f317(f317(f226(a898),x84171),x84172))+~P1(f317(f317(f226(x84173),f317(f317(f234(x84173),x84174),x84171)),f317(f317(f234(x84173),x84174),x84172))) % 199.88/201.01 [8427]~P125(x84271)+P1(f317(f317(f225(x84271),x84272),x84273))+~P1(f317(f317(f226(x84271),f2(x84271)),x84274))+~P1(f317(f317(f225(x84271),f317(f317(f75(x84271),x84274),x84272)),f317(f317(f75(x84271),x84274),x84273))) % 199.88/201.01 [8428]~P131(x84281)+P1(f317(f317(f225(x84281),x84282),x84283))+~P1(f317(f317(f226(x84281),f2(x84281)),x84284))+~P1(f317(f317(f225(x84281),f317(f317(f75(x84281),x84284),x84282)),f317(f317(f75(x84281),x84284),x84283))) % 199.88/201.01 [8429]~P131(x84291)+P1(f317(f317(f225(x84291),x84292),x84293))+~P1(f317(f317(f226(x84291),f2(x84291)),x84294))+~P1(f317(f317(f225(x84291),f317(f317(f75(x84291),x84292),x84294)),f317(f317(f75(x84291),x84293),x84294))) % 199.88/201.01 [8430]~P125(x84301)+P1(f317(f317(f226(x84301),x84302),x84303))+~P1(f317(f317(f226(x84301),f2(x84301)),x84304))+~P1(f317(f317(f226(x84301),f317(f317(f75(x84301),x84304),x84302)),f317(f317(f75(x84301),x84304),x84303))) % 199.88/201.01 [8431]~P131(x84311)+P1(f317(f317(f226(x84311),x84312),x84313))+~P1(f317(f317(f225(x84311),f2(x84311)),x84314))+~P1(f317(f317(f226(x84311),f317(f317(f75(x84311),x84314),x84312)),f317(f317(f75(x84311),x84314),x84313))) % 199.88/201.01 [8432]~P132(x84321)+P1(f317(f317(f226(x84321),x84322),x84323))+~P1(f317(f317(f225(x84321),f2(x84321)),x84324))+~P1(f317(f317(f226(x84321),f317(f317(f75(x84321),x84324),x84322)),f317(f317(f75(x84321),x84324),x84323))) % 199.88/201.01 [8433]~P110(x84331)+~P1(f317(f317(f225(x84331),f2(x84331)),x84333))+P1(f317(f317(f226(x84331),x84332),x84333))+~P1(f317(f317(f226(x84331),f317(f317(f234(x84331),x84332),x84334)),f317(f317(f234(x84331),x84333),x84334))) % 199.88/201.01 [8434]~P131(x84341)+P1(f317(f317(f226(x84341),x84342),x84343))+~P1(f317(f317(f225(x84341),f2(x84341)),x84344))+~P1(f317(f317(f226(x84341),f317(f317(f75(x84341),x84342),x84344)),f317(f317(f75(x84341),x84343),x84344))) % 199.88/201.01 [8435]~P132(x84351)+P1(f317(f317(f226(x84351),x84352),x84353))+~P1(f317(f317(f225(x84351),f2(x84351)),x84354))+~P1(f317(f317(f226(x84351),f317(f317(f75(x84351),x84352),x84354)),f317(f317(f75(x84351),x84353),x84354))) % 199.88/201.01 [8479]P1(f317(f317(f319(x84791),x84792),x84793))+~P1(f317(f317(f225(f905(x84791,a894)),x84793),x84794))+~P1(f317(f317(f226(f905(x84791,a894)),x84793),x84794))+P1(f317(f317(f226(f905(x84791,a894)),x84793),f317(f317(f299(x84791),x84792),x84794))) % 199.88/201.01 [8511]~P145(x85111)+~P121(x85111)+P1(f317(f317(f277(x85111),x85112),f317(f317(f74(x85111),f832(x85112,x85113,x85111)),f2(x85111))))+~P1(f317(x85113,f317(f317(f75(x85111),x85112),x85114))) % 199.88/201.01 [8858]E(f317(f317(f23(a1),f397(x88581,x88582,x88583,x88584)),f398(x88581,x88582,x88583,x88584)),x88584)+~P1(f317(f317(f226(a1),f2(a1)),x88583))+~P1(f317(f317(f225(a1),x88581),x88584))+P1(f317(f317(f225(a1),x88581),f317(f317(f74(a1),x88584),x88583))) % 199.88/201.01 [8859]E(f317(f317(f23(a1),f408(x88591,x88592,x88593,x88594)),f409(x88591,x88592,x88593,x88594)),x88594)+~P1(f317(f317(f226(a1),f2(a1)),x88593))+~P1(f317(f317(f226(a1),x88591),x88594))+P1(f317(f317(f226(a1),x88591),f317(f317(f74(a1),x88594),x88593))) % 199.88/201.01 [9009]~E(f317(f317(f154(x90091),x90093),f654(x90094,x90093,x90091,x90092)),f317(f317(f154(x90091),x90094),f654(x90094,x90093,x90091,x90092)))+E(f317(f317(f165(x90091),x90092),x90093),f317(f317(f165(x90091),x90092),x90094))+~P1(f317(f317(f225(a898),x90092),f317(f179(f899(x90091)),x90093)))+~P1(f317(f317(f225(a898),x90092),f317(f179(f899(x90091)),x90094))) % 199.88/201.01 [9071]~P1(f317(f317(f226(a1),f2(a1)),x90713))+~P1(f317(f317(f225(a1),x90711),x90714))+P1(f317(f317(f319(a1),f397(x90711,x90712,x90713,x90714)),x90712))+P1(f317(f317(f225(a1),x90711),f317(f317(f74(a1),x90714),x90713))) % 199.88/201.01 [9072]~P1(f317(f317(f226(a1),f2(a1)),x90723))+~P1(f317(f317(f226(a1),x90721),x90724))+P1(f317(f317(f319(a1),f408(x90721,x90722,x90723,x90724)),x90722))+P1(f317(f317(f226(a1),x90721),f317(f317(f74(a1),x90724),x90723))) % 199.88/201.01 [9112]~P108(x91121)+~P1(f317(f28(x91121),x91123))+~P1(f317(f317(f319(x91121),x91124),x91123))+P1(f317(f317(f225(x91121),f317(f317(f58(x91121,x91121,f229(x91121)),x91122),x91123)),f317(f317(f229(x91121),x91124),x91122))) % 199.88/201.01 [9113]~P104(x91131)+~P1(f317(f28(x91131),x91133))+~P1(f317(f317(f319(x91131),x91134),x91133))+P1(f317(f317(f225(x91131),f317(f317(f58(x91131,x91131,f92(x91131)),x91132),x91133)),f317(f317(f92(x91131),x91134),x91132))) % 199.88/201.01 [9120]~P8(x91202,x91203,x91204)+~P1(f317(f28(x91202),x91203))+P1(f317(f317(f277(a898),x91201),f317(f29(x91202),x91203)))+P1(f317(f317(f319(f905(x91202,a894)),f835(x91201,x91204,x91203,x91202)),f317(f317(f55(x91202),x91203),x91204))) % 199.88/201.01 [9158]E(f317(f317(f165(x91581),x91582),x91583),f317(f317(f165(x91581),x91582),x91584))+P1(f317(f317(f226(a898),f654(x91583,x91584,x91581,x91582)),x91582))+~P1(f317(f317(f225(a898),x91582),f317(f179(f899(x91581)),x91583)))+~P1(f317(f317(f225(a898),x91582),f317(f179(f899(x91581)),x91584))) % 199.88/201.01 [9163]~P1(f317(f317(f226(a1),f2(a1)),x91633))+~P1(f317(f317(f225(a1),x91631),x91632))+P1(f317(f317(f319(a1),f398(x91631,x91634,x91633,x91632)),f293(a1,f72(a1),x91633)))+P1(f317(f317(f225(a1),x91631),f317(f317(f74(a1),x91632),x91633))) % 199.88/201.01 [9164]~P1(f317(f317(f226(a1),f2(a1)),x91643))+~P1(f317(f317(f226(a1),x91641),x91642))+P1(f317(f317(f319(a1),f409(x91641,x91644,x91643,x91642)),f293(a1,f72(a1),x91643)))+P1(f317(f317(f226(a1),x91641),f317(f317(f74(a1),x91642),x91643))) % 199.88/201.01 [9491]~P108(x94911)+~P1(f317(f28(x94911),x94914))+P1(f317(f317(f319(x94911),f569(x94912,x94913,x94914,x94911)),x94914))+P1(f317(f317(f225(x94911),f317(f317(f58(x94911,x94911,f224(x94911)),x94912),x94914)),f317(f317(f224(x94911),x94913),x94912))) % 199.88/201.01 [9492]~P103(x94921)+~P1(f317(f28(x94921),x94924))+P1(f317(f317(f319(x94921),f578(x94922,x94923,x94924,x94921)),x94924))+P1(f317(f317(f225(x94921),f317(f317(f58(x94921,x94921,f91(x94921)),x94922),x94924)),f317(f317(f91(x94921),x94923),x94922))) % 199.88/201.01 [9628]~P108(x96281)+~P1(f317(f28(x96281),x96283))+~P1(f317(f317(f225(x96281),f569(x96282,x96284,x96283,x96281)),x96284))+P1(f317(f317(f225(x96281),f317(f317(f58(x96281,x96281,f224(x96281)),x96282),x96283)),f317(f317(f224(x96281),x96284),x96282))) % 199.88/201.01 [9629]~P103(x96291)+~P1(f317(f28(x96291),x96293))+~P1(f317(f317(f225(x96291),f578(x96292,x96294,x96293,x96291)),x96294))+P1(f317(f317(f225(x96291),f317(f317(f58(x96291,x96291,f91(x96291)),x96292),x96293)),f317(f317(f91(x96291),x96294),x96292))) % 199.88/201.01 [9631]~P1(f317(f317(f225(a1),f2(a1)),x96314))+~P1(f317(f317(f226(a1),f2(a1)),x96313))+~P1(f317(f317(f226(a1),x96314),x96311))+P1(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96311),f40(a1,x96312,x96313))),x96314)),f317(f317(f75(a1),x96311),x96313))) % 199.88/201.01 [10017]E(x100171,x100172)+P1(f317(f317(f319(f904(f899(x100173),f899(x100173))),f317(f317(f242(f899(x100173),f899(x100173)),x100172),x100171)),f137(x100173,x100174)))+P1(f317(f317(f319(f904(f899(x100173),f899(x100173))),f317(f317(f242(f899(x100173),f899(x100173)),x100171),x100172)),f137(x100173,x100174)))+~P1(f317(f317(f319(f904(x100173,x100173)),f317(f317(f242(x100173,x100173),f634(x100171,x100172,x100174,x100173)),f635(x100171,x100172,x100174,x100173))),x100174)) % 199.88/201.01 [10018]E(x100181,x100182)+P1(f317(f317(f319(f904(f899(x100183),f899(x100183))),f317(f317(f242(f899(x100183),f899(x100183)),x100182),x100181)),f137(x100183,x100184)))+P1(f317(f317(f319(f904(f899(x100183),f899(x100183))),f317(f317(f242(f899(x100183),f899(x100183)),x100181),x100182)),f137(x100183,x100184)))+~P1(f317(f317(f319(f904(x100183,x100183)),f317(f317(f242(x100183,x100183),f635(x100181,x100182,x100184,x100183)),f634(x100181,x100182,x100184,x100183))),x100184)) % 199.88/201.01 [7563]~P108(x75631)+~P1(f317(f317(f225(x75631),x75633),x75634))+~P1(f317(f317(f225(x75631),x75632),x75634))+P1(f317(f317(f225(x75631),f317(f317(f224(x75631),x75632),x75633)),x75634)) % 199.88/201.01 [7566]~P103(x75661)+~P1(f317(f317(f225(x75661),x75663),x75664))+~P1(f317(f317(f225(x75661),x75662),x75664))+P1(f317(f317(f225(x75661),f317(f317(f91(x75661),x75662),x75663)),x75664)) % 199.88/201.01 [7567]~P108(x75671)+~P1(f317(f317(f226(x75671),x75673),x75674))+~P1(f317(f317(f226(x75671),x75672),x75674))+P1(f317(f317(f226(x75671),f317(f317(f224(x75671),x75672),x75673)),x75674)) % 199.88/201.01 [7806]~P3(x78061)+E(f317(f317(f74(x78061),f317(f317(f30(x78061),x78062),x78063)),f317(f317(f30(x78061),x78064),x78063)),f317(f317(f30(x78061),f317(f317(f74(x78061),x78062),x78064)),x78063))+~P1(f317(f317(f277(x78061),x78063),x78064))+~P1(f317(f317(f277(x78061),x78063),x78062)) % 199.88/201.01 [7889]~E(x78891,x78893)+E(f129(a898,f317(f292(a898,x78891),x78892)),f317(f317(f141(a898),x78893),x78894))+~E(f129(a898,f317(f292(a898,f317(f317(f74(a898),x78891),f72(a898))),x78892)),x78894)+~P1(f317(f317(f226(a898),x78891),x78892)) % 199.88/201.01 [7897]~P108(x78971)+P1(f317(f317(f225(x78971),x78972),x78973))+P1(f317(f317(f225(x78971),x78974),x78973))+~P1(f317(f317(f225(x78971),f317(f317(f229(x78971),x78974),x78972)),x78973)) % 199.88/201.01 [7898]~P108(x78981)+P1(f317(f317(f226(x78981),x78982),x78983))+P1(f317(f317(f226(x78981),x78984),x78983))+~P1(f317(f317(f226(x78981),f317(f317(f229(x78981),x78984),x78982)),x78983)) % 199.88/201.01 [8174]~P63(x81741)+~P1(f317(f317(f226(x81741),f2(x81741)),x81743))+~P1(f317(f317(f225(x81741),x81742),f317(f317(f281(x81741),x81744),x81743)))+P1(f317(f317(f225(x81741),f317(f317(f75(x81741),x81742),x81743)),x81744)) % 199.88/201.01 [8175]~P64(x81751)+~P1(f317(f317(f226(x81751),f2(x81751)),x81753))+~P1(f317(f317(f225(x81751),x81752),f317(f317(f281(x81751),x81754),x81753)))+P1(f317(f317(f225(x81751),f317(f317(f75(x81751),x81752),x81753)),x81754)) % 199.88/201.01 [8177]~P63(x81771)+~P1(f317(f317(f226(x81771),f2(x81771)),x81773))+~P1(f317(f317(f225(x81771),x81772),f317(f317(f75(x81771),x81774),x81773)))+P1(f317(f317(f225(x81771),f317(f317(f281(x81771),x81772),x81773)),x81774)) % 199.88/201.01 [8178]~P64(x81781)+~P1(f317(f317(f226(x81781),f2(x81781)),x81783))+~P1(f317(f317(f225(x81781),x81782),f317(f317(f75(x81781),x81784),x81783)))+P1(f317(f317(f225(x81781),f317(f317(f281(x81781),x81782),x81783)),x81784)) % 199.88/201.01 [8179]~P63(x81791)+~P1(f317(f317(f226(x81791),f2(x81791)),x81793))+~P1(f317(f317(f226(x81791),x81792),f317(f317(f281(x81791),x81794),x81793)))+P1(f317(f317(f226(x81791),f317(f317(f75(x81791),x81792),x81793)),x81794)) % 199.88/201.01 [8180]~P64(x81801)+~P1(f317(f317(f226(x81801),f2(x81801)),x81803))+~P1(f317(f317(f226(x81801),x81802),f317(f317(f281(x81801),x81804),x81803)))+P1(f317(f317(f226(x81801),f317(f317(f75(x81801),x81802),x81803)),x81804)) % 199.88/201.01 [8182]~P63(x81821)+~P1(f317(f317(f226(x81821),f2(x81821)),x81823))+~P1(f317(f317(f226(x81821),x81822),f317(f317(f75(x81821),x81824),x81823)))+P1(f317(f317(f226(x81821),f317(f317(f281(x81821),x81822),x81823)),x81824)) % 199.88/201.01 [8183]~P64(x81831)+~P1(f317(f317(f226(x81831),f2(x81831)),x81833))+~P1(f317(f317(f226(x81831),x81832),f317(f317(f75(x81831),x81834),x81833)))+P1(f317(f317(f226(x81831),f317(f317(f281(x81831),x81832),x81833)),x81834)) % 199.88/201.01 [8312]~P63(x83121)+~P1(f317(f317(f226(x83121),f2(x83121)),x83124))+P1(f317(f317(f225(x83121),x83122),f317(f317(f75(x83121),x83123),x83124)))+~P1(f317(f317(f225(x83121),f317(f317(f281(x83121),x83122),x83124)),x83123)) % 199.88/201.01 [8314]~P63(x83141)+~P1(f317(f317(f226(x83141),f2(x83141)),x83144))+P1(f317(f317(f225(x83141),x83142),f317(f317(f281(x83141),x83143),x83144)))+~P1(f317(f317(f225(x83141),f317(f317(f75(x83141),x83142),x83144)),x83143)) % 199.88/201.01 [8315]~P64(x83151)+~P1(f317(f317(f226(x83151),f2(x83151)),x83154))+P1(f317(f317(f225(x83151),x83152),f317(f317(f75(x83151),x83153),x83154)))+~P1(f317(f317(f225(x83151),f317(f317(f281(x83151),x83152),x83154)),x83153)) % 199.88/201.01 [8316]~P64(x83161)+~P1(f317(f317(f226(x83161),f2(x83161)),x83164))+P1(f317(f317(f225(x83161),x83162),f317(f317(f281(x83161),x83163),x83164)))+~P1(f317(f317(f225(x83161),f317(f317(f75(x83161),x83162),x83164)),x83163)) % 199.88/201.01 [8317]~P63(x83171)+~P1(f317(f317(f226(x83171),f2(x83171)),x83174))+P1(f317(f317(f226(x83171),x83172),f317(f317(f75(x83171),x83173),x83174)))+~P1(f317(f317(f226(x83171),f317(f317(f281(x83171),x83172),x83174)),x83173)) % 199.88/201.01 [8319]~P63(x83191)+~P1(f317(f317(f226(x83191),f2(x83191)),x83194))+P1(f317(f317(f226(x83191),x83192),f317(f317(f281(x83191),x83193),x83194)))+~P1(f317(f317(f226(x83191),f317(f317(f75(x83191),x83192),x83194)),x83193)) % 199.88/201.01 [8320]~P64(x83201)+~P1(f317(f317(f226(x83201),f2(x83201)),x83204))+P1(f317(f317(f226(x83201),x83202),f317(f317(f75(x83201),x83203),x83204)))+~P1(f317(f317(f226(x83201),f317(f317(f281(x83201),x83202),x83204)),x83203)) % 199.88/201.01 [8321]~P64(x83211)+~P1(f317(f317(f226(x83211),f2(x83211)),x83214))+P1(f317(f317(f226(x83211),x83212),f317(f317(f281(x83211),x83213),x83214)))+~P1(f317(f317(f226(x83211),f317(f317(f75(x83211),x83212),x83214)),x83213)) % 199.88/201.01 [8482]~P64(x84821)+~P1(f317(f317(f226(x84821),x84823),f2(x84821)))+~P1(f317(f317(f225(x84821),f317(f317(f281(x84821),x84824),x84823)),x84822))+P1(f317(f317(f225(x84821),f317(f317(f75(x84821),x84822),x84823)),x84824)) % 199.88/201.01 [8483]~P64(x84831)+~P1(f317(f317(f226(x84831),x84833),f2(x84831)))+~P1(f317(f317(f225(x84831),f317(f317(f75(x84831),x84834),x84833)),x84832))+P1(f317(f317(f225(x84831),f317(f317(f281(x84831),x84832),x84833)),x84834)) % 199.88/201.01 [8484]~P64(x84841)+~P1(f317(f317(f226(x84841),x84843),f2(x84841)))+~P1(f317(f317(f226(x84841),f317(f317(f281(x84841),x84844),x84843)),x84842))+P1(f317(f317(f226(x84841),f317(f317(f75(x84841),x84842),x84843)),x84844)) % 199.88/201.01 [8485]~P64(x84851)+~P1(f317(f317(f226(x84851),x84853),f2(x84851)))+~P1(f317(f317(f226(x84851),f317(f317(f75(x84851),x84854),x84853)),x84852))+P1(f317(f317(f226(x84851),f317(f317(f281(x84851),x84852),x84853)),x84854)) % 199.88/201.01 [8497]~P1(f317(x84971,x84974))+~P1(f317(f317(f226(a898),x84972),f317(f317(f75(a898),x84973),f317(a102,x84974))))+P1(f317(x84971,f317(f317(f30(a898),x84972),x84973)))+~P1(f317(f317(f225(a898),f317(f317(f75(a898),x84973),x84974)),x84972)) % 199.88/201.01 [8706]~P108(x87061)+~P1(f317(f28(x87061),x87064))+~P1(f317(f317(f319(x87061),x87062),x87064))+P1(f317(f317(f225(x87061),f317(f317(f224(x87061),x87062),x87063)),f317(f317(f58(x87061,x87061,f224(x87061)),x87063),x87064))) % 199.88/201.01 [8707]~P103(x87071)+~P1(f317(f28(x87071),x87074))+~P1(f317(f317(f319(x87071),x87072),x87074))+P1(f317(f317(f225(x87071),f317(f317(f91(x87071),x87072),x87073)),f317(f317(f58(x87071,x87071,f91(x87071)),x87073),x87074))) % 199.88/201.01 [8860]~P1(f317(f28(x88601),x88602))+E(f317(f29(x88601),f317(f317(f23(f905(x88601,a894)),x88602),f317(f317(f299(x88601),x88603),x88604))),f317(f317(f23(a898),f317(f29(x88601),f317(f317(f23(f905(x88601,a894)),x88602),x88604))),f72(a898)))+P1(f317(f317(f319(x88601),x88603),x88604))+~P1(f317(f317(f319(x88601),x88603),x88602)) % 199.88/201.01 [8937]E(f317(f317(f74(a1),f400(x89371,x89372,x89373,x89374)),f399(x89371,x89372,x89373,x89374)),x89374)+~P1(f317(f317(f226(a1),f2(a1)),x89373))+~P1(f317(f317(f225(a1),x89374),x89371))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x89374),x89373)),x89371)) % 199.88/201.01 [8938]E(f317(f317(f74(a1),f414(x89381,x89382,x89383,x89384)),f410(x89381,x89382,x89383,x89384)),x89384)+~P1(f317(f317(f226(a1),f2(a1)),x89383))+~P1(f317(f317(f226(a1),x89384),x89381))+P1(f317(f317(f226(a1),f317(f317(f23(a1),x89384),x89383)),x89381)) % 199.88/201.01 [9143]~P1(f317(f317(f226(a1),f2(a1)),x91433))+~P1(f317(f317(f225(a1),x91434),x91431))+P1(f317(f317(f319(a1),f400(x91431,x91432,x91433,x91434)),x91432))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x91434),x91433)),x91431)) % 199.88/201.01 [9144]~P1(f317(f317(f226(a1),f2(a1)),x91443))+~P1(f317(f317(f226(a1),x91444),x91441))+P1(f317(f317(f319(a1),f414(x91441,x91442,x91443,x91444)),x91442))+P1(f317(f317(f226(a1),f317(f317(f23(a1),x91444),x91443)),x91441)) % 199.88/201.01 [9231]~P1(f317(f317(f226(a1),f2(a1)),x92312))+~P1(f317(f317(f225(a1),x92311),x92313))+P1(f317(f317(f319(a1),f399(x92313,x92314,x92312,x92311)),f293(a1,f72(a1),x92312)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x92311),x92312)),x92313)) % 199.88/201.01 [9232]~P1(f317(f317(f226(a1),f2(a1)),x92322))+~P1(f317(f317(f226(a1),x92321),x92323))+P1(f317(f317(f319(a1),f410(x92323,x92324,x92322,x92321)),f293(a1,f72(a1),x92322)))+P1(f317(f317(f226(a1),f317(f317(f23(a1),x92321),x92322)),x92323)) % 199.88/201.01 [9250]~P1(f317(f317(f225(a1),f2(a1)),x92504))+~P1(f317(f317(f226(a1),f2(a1)),x92503))+~P1(f317(f317(f226(a1),x92504),x92501))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92501),f40(a1,x92502,x92503))),x92504))) % 199.88/201.01 [9279]E(x92791,x92792)+~P38(x92793,x92794)+~P1(f317(f317(f319(f904(x92793,x92793)),f317(f317(f242(x92793,x92793),x92792),x92791)),x92794))+~P1(f317(f317(f319(f904(x92793,x92793)),f317(f317(f242(x92793,x92793),x92791),x92792)),x92794)) % 199.88/201.01 [9312]~P108(x93121)+~P1(f317(f28(x93121),x93124))+~P1(f317(f317(f225(x93121),x93122),f568(x93123,x93122,x93124,x93121)))+P1(f317(f317(f225(x93121),f317(f317(f229(x93121),x93122),x93123)),f317(f317(f58(x93121,x93121,f229(x93121)),x93123),x93124))) % 199.88/201.01 [9313]~P104(x93131)+~P1(f317(f28(x93131),x93134))+~P1(f317(f317(f225(x93131),x93132),f577(x93133,x93132,x93134,x93131)))+P1(f317(f317(f225(x93131),f317(f317(f92(x93131),x93132),x93133)),f317(f317(f58(x93131,x93131,f92(x93131)),x93133),x93134))) % 199.88/201.01 [9330]~P1(f317(f317(f225(a1),x93304),f2(a1)))+~P1(f317(f317(f226(a1),f2(a1)),x93302))+~P1(f317(f317(f226(a1),x93301),x93304))+P1(f317(f317(f226(a1),f317(f317(f75(a1),x93301),x93302)),f317(f317(f74(a1),f317(f317(f75(a1),x93301),f40(a1,x93303,x93302))),x93304))) % 199.88/201.01 [9356]P1(f317(f28(x93561),x93562))+~P1(f317(f28(x93561),x93563))+~P1(f317(f317(f319(f905(x93561,a894)),x93562),f317(f317(f55(x93561),x93563),x93564)))+~P1(f317(f317(f225(f905(f904(x93561,x93561),a894)),x93564),f317(f317(f244(x93561,x93561),x93563),f317(f16(f905(x93561,a894),x93561),x93563)))) % 199.88/201.01 [9381]~P108(x93811)+~P1(f317(f28(x93811),x93814))+P1(f317(f317(f319(x93811),f568(x93812,x93813,x93814,x93811)),x93814))+P1(f317(f317(f225(x93811),f317(f317(f229(x93811),x93813),x93812)),f317(f317(f58(x93811,x93811,f229(x93811)),x93812),x93814))) % 199.88/201.01 [9382]~P104(x93821)+~P1(f317(f28(x93821),x93824))+P1(f317(f317(f319(x93821),f577(x93822,x93823,x93824,x93821)),x93824))+P1(f317(f317(f225(x93821),f317(f317(f92(x93821),x93823),x93822)),f317(f317(f58(x93821,x93821,f92(x93821)),x93822),x93824))) % 199.88/201.01 [9795]~P1(f317(f28(x97952),x97954))+~P1(f317(f28(x97951),x97953))+~P1(f317(f317(f225(a898),f317(f29(x97952),x97954)),f317(f29(x97951),x97953)))+P1(f317(f317(f225(f905(x97951,a894)),f317(f300(x97952,x97951,f503(x97953,x97951,x97954,x97952)),x97954)),x97953)) % 199.88/201.01 [9432]~P1(f317(f317(f319(x94321),x94322),x94324))+P1(f317(f317(f319(x94321),x94322),x94323))+~P1(f317(f317(f226(f905(x94321,a894)),x94324),f317(f317(f299(x94321),x94322),x94323)))+P1(f317(f317(f226(f905(x94321,a894)),f317(f317(f23(f905(x94321,a894)),x94324),f317(f317(f299(x94321),x94322),f178(f905(x94321,a894))))),x94323)) % 199.88/201.01 [9609]~P1(f317(f317(f319(x96091),x96092),x96094))+P1(f317(f317(f319(x96091),x96092),x96093))+P1(f317(f317(f226(f905(x96091,a894)),x96094),f317(f317(f299(x96091),x96092),x96093)))+~P1(f317(f317(f226(f905(x96091,a894)),f317(f317(f23(f905(x96091,a894)),x96094),f317(f317(f299(x96091),x96092),f178(f905(x96091,a894))))),x96093)) % 199.88/201.01 [9634]P1(f317(f317(f319(x96341),x96342),x96343))+~P1(f317(f317(f225(f905(x96341,a894)),x96344),x96343))+P1(f317(f317(f226(f905(x96341,a894)),x96344),f317(f317(f299(x96341),x96342),x96343)))+~P1(f317(f317(f226(f905(x96341,a894)),f317(f317(f23(f905(x96341,a894)),x96344),f317(f317(f299(x96341),x96342),f178(f905(x96341,a894))))),x96343)) % 199.88/201.01 [9639]~P1(f317(f317(f319(x96391),x96393),x96392))+~P1(f317(f317(f226(f905(x96391,a894)),x96392),x96394))+P1(f317(f317(f226(f905(x96391,a894)),x96392),f317(f317(f299(x96391),x96393),x96394)))+~P1(f317(f317(f226(f905(x96391,a894)),f317(f317(f23(f905(x96391,a894)),x96392),f317(f317(f299(x96391),x96393),f178(f905(x96391,a894))))),x96394)) % 199.88/201.01 [9655]~P1(f317(f317(f225(f905(x96551,a894)),x96552),x96554))+~P1(f317(f317(f226(f905(x96551,a894)),x96552),x96554))+P1(f317(f317(f226(f905(x96551,a894)),x96552),f317(f317(f299(x96551),x96553),x96554)))+~P1(f317(f317(f226(f905(x96551,a894)),f317(f317(f23(f905(x96551,a894)),x96552),f317(f317(f299(x96551),x96553),f178(f905(x96551,a894))))),x96554)) % 199.88/201.01 [9700]~P109(x97002)+~P60(x97001)+~P1(f317(f317(f225(f905(x97001,x97002)),x97003),x97004))+P1(f317(f52(x97001),f317(f317(f18(x97001,x97002,a894),f317(f317(f8(x97002,f905(x97002,a894),x97001),f225(x97002)),x97003)),x97004))) % 199.88/201.01 [9843]~P109(x98432)+~P60(x98431)+P1(f317(f317(f225(f905(x98431,x98432)),x98433),x98434))+~P1(f317(f52(x98431),f317(f317(f18(x98431,x98432,a894),f317(f317(f8(x98432,f905(x98432,a894),x98431),f225(x98432)),x98433)),x98434))) % 199.88/201.01 [10008]E(f317(f317(f154(x100081),f317(f317(f154(f899(x100081)),f169(x100081,x100082)),x100083)),x100084),f317(f317(f154(x100081),f317(f317(f154(f899(x100081)),x100082),x100084)),x100083))+~P1(f317(f317(f226(a898),x100083),f317(f179(f899(f899(x100081))),f169(x100081,x100082))))+~P13(a898,f317(f158(a898),f317(f317(f144(f899(x100081),a898),f179(f899(x100081))),x100082)))+~P1(f317(f317(f226(a898),x100084),f317(f179(f899(f899(x100081))),f317(f126(f899(x100081),f317(f317(f8(a898,a894,f899(x100081)),f317(f226(a898),x100083)),f179(f899(x100081)))),x100082)))) % 199.88/201.01 [10029]~P1(f317(f317(f319(f904(a898,a898)),x100294),x100291))+~P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),x100294),x100292)),a26))+~P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100291),x100293)),a63))+P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100291),f317(f317(f299(f904(a898,a898)),x100292),x100293))),a63)) % 199.88/201.01 [10030]~P1(f317(f317(f319(f904(a898,a898)),x100304),x100301))+~P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),x100304),x100302)),a65))+~P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100301),x100303)),a66))+P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100301),f317(f317(f299(f904(a898,a898)),x100302),x100303))),a66)) % 199.88/201.01 [9920]~P109(x99202)+~P60(x99201)+~P1(f317(f317(f226(f905(x99201,x99202)),x99203),x99204))+P1(f317(f51(x99201),f317(f317(f8(a894,a894,x99201),a312),f317(f317(f18(x99201,x99202,a894),f317(f317(f8(x99202,f905(x99202,a894),x99201),a314),x99203)),x99204)))) % 199.88/201.01 [10041]~P1(f317(f317(f319(f904(a898,a898)),x100414),x100413))+~P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),x100411),x100414)),a26))+~P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100412),x100413)),a27))+P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f317(f317(f299(f904(a898,a898)),x100411),x100412)),x100413)),a27)) % 199.88/201.01 [10042]~P1(f317(f317(f319(f904(a898,a898)),x100424),x100423))+~P1(f317(f317(f319(f904(f904(a898,a898),f904(a898,a898))),f317(f317(f242(f904(a898,a898),f904(a898,a898)),x100421),x100424)),a65))+~P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100422),x100423)),a64))+P1(f317(f317(f319(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f317(f317(f242(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f317(f317(f299(f904(a898,a898)),x100421),x100422)),x100423)),a64)) % 199.88/201.01 [6122]~P7(x61224,x61221)+~P1(f317(f317(x61221,x61222),x61225))+P1(f317(f317(x61221,x61222),x61223))+~P1(f317(f317(x61221,x61225),x61223)) % 199.88/201.01 [6123]~P49(x61234,x61231)+~P1(f317(f317(x61231,x61232),x61235))+P1(f317(f317(x61231,x61232),x61233))+~P1(f317(f317(x61231,x61235),x61233)) % 199.88/201.01 [6124]~P15(x61244,x61241)+~P1(f317(f317(x61241,x61242),x61245))+P1(f317(f317(x61241,x61242),x61243))+~P1(f317(f317(x61241,x61245),x61243)) % 199.88/201.01 [8845]~P7(x88454,x88453)+~P1(f317(x88451,x88455))+P1(f317(x88452,f808(x88452,x88451,x88453,x88454)))+P1(f317(x88451,f807(x88452,x88451,x88453,x88454))) % 199.88/201.01 [9079]~P7(x90794,x90793)+~P1(f317(x90792,x90795))+~P1(f317(x90791,f807(x90791,x90792,x90793,x90794)))+P1(f317(x90791,f808(x90791,x90792,x90793,x90794))) % 199.88/201.01 [9263]~P7(x92634,x92633)+~P1(f317(x92631,x92635))+P1(f317(f317(f319(x92634),f808(x92632,x92631,x92633,x92634)),f260(x92634,x92633)))+P1(f317(x92631,f807(x92632,x92631,x92633,x92634))) % 199.88/201.01 [9390]~P7(x93901,x93904)+~P1(f317(x93903,x93905))+~P1(f317(x93902,f807(x93902,x93903,x93904,x93901)))+P1(f317(f317(f319(x93901),f808(x93902,x93903,x93904,x93901)),f260(x93901,x93904))) % 199.88/201.01 [9689]~P37(x96891,x96894)+P1(f317(f317(f319(f904(f899(x96891),f899(x96891))),f317(f317(f242(f899(x96891),f899(x96891)),x96892),x96893)),f137(x96891,x96894)))+~P1(f317(f317(f319(f904(f899(x96891),f899(x96891))),f317(f317(f242(f899(x96891),f899(x96891)),x96892),x96895)),f137(x96891,x96894)))+~P1(f317(f317(f319(f904(f899(x96891),f899(x96891))),f317(f317(f242(f899(x96891),f899(x96891)),x96895),x96893)),f137(x96891,x96894))) % 199.88/201.01 [5347]~P68(x53475)+E(x53471,x53472)+~E(x53473,x53474)+~E(f317(f317(f23(x53475),x53473),x53474),f317(f317(f23(x53475),x53471),x53472)) % 199.88/201.01 [6238]~P17(x62385,x62381,x62383)+E(f317(f317(x62381,x62382),f317(x62383,x62384)),f317(x62383,x62384))+~P1(f317(f28(x62385),x62384))+~P1(f317(f317(f319(x62385),x62382),x62384)) % 199.88/201.01 [6435]~P67(x64351)+~E(f317(f317(f23(x64351),x64354),x64355),f317(f317(f23(x64351),x64352),x64353))+~P1(f317(f317(f225(x64351),x64354),x64355))+P1(f317(f317(f225(x64351),x64352),x64353)) % 199.88/201.01 [6437]~P67(x64371)+~E(f317(f317(f23(x64371),x64374),x64375),f317(f317(f23(x64371),x64372),x64373))+~P1(f317(f317(f226(x64371),x64374),x64375))+P1(f317(f317(f226(x64371),x64372),x64373)) % 199.88/201.01 [7430]~E(x74302,f317(f317(f141(x74301),x74304),x74305))+P1(f317(f317(f319(f899(x74301)),x74302),f151(x74301,x74303)))+~P1(f317(f317(f319(f899(x74301)),x74305),f151(x74301,x74303)))+~P1(f317(f317(f319(x74301),x74304),x74303)) % 199.88/201.01 [7837]~E(f317(f179(f899(x78371)),x78373),f317(f179(f899(x78372)),x78374))+~E(f317(f317(f144(f904(x78371,x78372),x78372),f246(x78371,x78372)),x78375),x78374)+~E(f317(f317(f144(f904(x78371,x78372),x78371),f241(x78371,x78372)),x78375),x78373)+E(f317(f317(f171(x78371,x78372),x78373),x78374),x78375) % 199.88/201.01 [8170]~P109(x81701)+P1(f317(f317(f226(f905(x81701,a894)),f293(x81701,x81702,x81703)),f293(x81701,x81704,x81705)))+~P1(f317(f317(f225(x81701),x81704),x81705))+P1(f317(f317(f225(x81701),x81702),x81703)) % 199.88/201.01 [8270]~P109(x82701)+P1(f317(f317(f225(f905(x82701,a894)),f293(x82701,x82702,x82703)),f293(x82701,x82704,x82705)))+~P1(f317(f317(f225(x82701),x82703),x82705))+~P1(f317(f317(f225(x82701),x82704),x82702)) % 199.88/201.01 [8389]~P108(x83891)+P1(f317(f317(f225(x83891),x83892),x83893))+P1(f317(f317(f225(x83891),x83894),x83893))+~P1(f317(f317(f225(f905(x83891,a894)),f317(f292(x83891,x83893),x83892)),f317(f292(x83891,x83894),x83895))) % 199.88/201.01 [8390]~P108(x83901)+P1(f317(f317(f225(x83901),x83902),x83903))+P1(f317(f317(f225(x83901),x83902),x83904))+~P1(f317(f317(f225(f905(x83901,a894)),f317(f292(x83901,x83903),x83902)),f317(f292(x83901,x83905),x83904))) % 199.88/201.01 [8623]~P109(x86231)+~P1(f317(f317(f225(f905(x86231,a894)),f293(x86231,x86234,x86232)),f293(x86231,x86235,x86233)))+P1(f317(f317(f225(x86231),x86232),x86233))+~P1(f317(f317(f225(x86231),x86234),x86232)) % 199.88/201.01 [8624]~P109(x86241)+~P1(f317(f317(f226(f905(x86241,a894)),f293(x86241,x86244,x86242)),f293(x86241,x86245,x86243)))+P1(f317(f317(f225(x86241),x86242),x86243))+~P1(f317(f317(f225(x86241),x86244),x86242)) % 199.88/201.01 [8625]~P109(x86251)+~P1(f317(f317(f225(f905(x86251,a894)),f293(x86251,x86253,x86254)),f293(x86251,x86252,x86255)))+P1(f317(f317(f225(x86251),x86252),x86253))+~P1(f317(f317(f225(x86251),x86253),x86254)) % 199.88/201.01 [8626]~P109(x86261)+~P1(f317(f317(f226(f905(x86261,a894)),f293(x86261,x86263,x86264)),f293(x86261,x86262,x86265)))+P1(f317(f317(f225(x86261),x86262),x86263))+~P1(f317(f317(f225(x86261),x86263),x86264)) % 199.88/201.01 [6121]~P17(x61212,x61215,x61213)+E(x61211,f178(f905(x61212,a894)))+~P1(f317(f28(x61212),x61211))+E(f317(x61213,f317(f317(f299(x61212),x61214),x61211)),f317(f317(x61215,x61214),f317(x61213,x61211))) % 199.88/201.01 [6918]~E(x69181,x69182)+~E(f317(f317(f92(f905(x69183,a894)),x69184),x69185),f178(f905(x69183,a894)))+~P1(f317(f317(f319(x69183),x69182),x69185))+~P1(f317(f317(f319(x69183),x69181),x69184)) % 199.88/201.01 [7001]~P18(x70012,x70015,x70011)+~P1(f317(f28(x70012),x70014))+E(f317(x70011,f317(f317(f299(x70012),x70013),x70014)),f317(f317(f58(x70012,x70012,x70015),x70013),x70014))+P1(f317(f317(f319(x70012),x70013),x70014)) % 199.88/201.01 [7071]~P78(x70712)+~P1(f317(f28(x70711),x70715))+E(f317(f317(f9(x70711,x70712),x70713),f317(f317(f299(x70711),x70714),x70715)),f317(f317(f75(x70712),f317(x70713,x70714)),f317(f317(f9(x70711,x70712),x70713),x70715)))+P1(f317(f317(f319(x70711),x70714),x70715)) % 199.88/201.01 [7073]~P77(x70732)+~P1(f317(f28(x70731),x70735))+E(f317(f317(f6(x70731,x70732),x70733),f317(f317(f299(x70731),x70734),x70735)),f317(f317(f74(x70732),f317(x70733,x70734)),f317(f317(f6(x70731,x70732),x70733),x70735)))+P1(f317(f317(f319(x70731),x70734),x70735)) % 199.88/201.01 [7477]~P112(x74771)+~P1(f317(f28(x74774),x74775))+~P1(f317(f317(f319(x74774),x74773),x74775))+P1(f317(f317(f277(x74771),f317(x74772,x74773)),f317(f317(f9(x74774,x74771),x74772),x74775))) % 199.88/201.01 [7576]~P18(x75762,x75765,x75761)+~P1(f317(f28(x75762),x75764))+E(f317(x75761,f317(f317(f299(x75762),x75763),x75764)),x75763)+~E(f317(f317(f23(f905(x75762,a894)),x75764),f317(f317(f299(x75762),x75763),f178(f905(x75762,a894)))),f178(f905(x75762,a894))) % 199.88/201.01 [7910]~P112(x79101)+~P1(f317(f317(f277(x79101),x79102),x79104))+~P1(f317(f317(f225(a898),x79103),x79105))+P1(f317(f317(f277(x79101),f317(f317(f234(x79101),x79102),x79103)),f317(f317(f234(x79101),x79104),x79105))) % 199.88/201.01 [7938]~P3(x79381)+E(f317(f317(f30(x79381),f317(f317(f75(x79381),x79382),x79383)),f317(f317(f75(x79381),x79384),x79385)),f317(f317(f75(x79381),f317(f317(f30(x79381),x79382),x79384)),f317(f317(f30(x79381),x79383),x79385)))+~P1(f317(f317(f277(x79381),x79385),x79383))+~P1(f317(f317(f277(x79381),x79384),x79382)) % 199.88/201.01 [7942]~P84(x79421)+~P1(f317(f317(f225(x79421),x79423),x79425))+~P1(f317(f317(f225(x79421),x79422),x79424))+P1(f317(f317(f225(x79421),f317(f317(f74(x79421),x79422),x79423)),f317(f317(f74(x79421),x79424),x79425))) % 199.88/201.01 [7943]~P108(x79431)+~P1(f317(f317(f225(x79431),x79433),x79435))+~P1(f317(f317(f225(x79431),x79432),x79434))+P1(f317(f317(f225(x79431),f317(f317(f229(x79431),x79432),x79433)),f317(f317(f229(x79431),x79434),x79435))) % 199.88/201.01 [7944]~P108(x79441)+~P1(f317(f317(f225(x79441),x79443),x79445))+~P1(f317(f317(f225(x79441),x79442),x79444))+P1(f317(f317(f225(x79441),f317(f317(f224(x79441),x79442),x79443)),f317(f317(f224(x79441),x79444),x79445))) % 199.88/201.01 [7945]~P103(x79451)+~P1(f317(f317(f225(x79451),x79453),x79455))+~P1(f317(f317(f225(x79451),x79452),x79454))+P1(f317(f317(f225(x79451),f317(f317(f91(x79451),x79452),x79453)),f317(f317(f91(x79451),x79454),x79455))) % 199.88/201.01 [7946]~P104(x79461)+~P1(f317(f317(f225(x79461),x79463),x79465))+~P1(f317(f317(f225(x79461),x79462),x79464))+P1(f317(f317(f225(x79461),f317(f317(f92(x79461),x79462),x79463)),f317(f317(f92(x79461),x79464),x79465))) % 199.88/201.01 [7947]~P86(x79471)+~P1(f317(f317(f225(x79471),x79473),x79475))+~P1(f317(f317(f226(x79471),x79472),x79474))+P1(f317(f317(f226(x79471),f317(f317(f74(x79471),x79472),x79473)),f317(f317(f74(x79471),x79474),x79475))) % 199.88/201.01 [7948]~P86(x79481)+~P1(f317(f317(f225(x79481),x79482),x79484))+~P1(f317(f317(f226(x79481),x79483),x79485))+P1(f317(f317(f226(x79481),f317(f317(f74(x79481),x79482),x79483)),f317(f317(f74(x79481),x79484),x79485))) % 199.88/201.01 [7949]~P86(x79491)+~P1(f317(f317(f226(x79491),x79493),x79495))+~P1(f317(f317(f226(x79491),x79492),x79494))+P1(f317(f317(f226(x79491),f317(f317(f74(x79491),x79492),x79493)),f317(f317(f74(x79491),x79494),x79495))) % 199.88/201.01 [7950]~P112(x79501)+~P1(f317(f317(f277(x79501),x79503),x79505))+~P1(f317(f317(f277(x79501),x79502),x79504))+P1(f317(f317(f277(x79501),f317(f317(f75(x79501),x79502),x79503)),f317(f317(f75(x79501),x79504),x79505))) % 199.88/201.01 [8086]~P146(x80865)+E(x80861,x80862)+E(x80863,x80864)+~E(f317(f317(f74(x80865),f317(f317(f75(x80865),x80863),x80861)),f317(f317(f75(x80865),x80864),x80862)),f317(f317(f74(x80865),f317(f317(f75(x80865),x80863),x80862)),f317(f317(f75(x80865),x80864),x80861))) % 199.88/201.01 [8290]~P108(x82904)+~P1(f317(f127(x82901),x82903))+P1(f317(f317(f319(x82901),x82902),f317(f162(x82901),x82903)))+P1(f317(f127(x82901),f317(f317(f138(x82901,x82904,x82905),x82902),x82903))) % 199.88/201.01 [8436]~P68(x84361)+E(f317(f317(f23(x84361),f317(f317(f6(a898,x84361),x84362),f317(f292(a898,x84363),x84364))),f317(f317(f6(a898,x84361),x84362),f317(f292(a898,x84363),x84365))),f317(f317(f6(a898,x84361),x84362),f317(f292(a898,x84365),x84364)))+~P1(f317(f317(f225(a898),x84365),x84364))+~P1(f317(f317(f225(a898),x84363),x84365)) % 199.88/201.01 [8437]~P77(x84371)+E(f317(f317(f74(x84371),f317(f317(f6(a898,x84371),x84372),f317(f292(a898,x84373),x84374))),f317(f317(f6(a898,x84371),x84372),f317(f292(a898,x84374),x84375))),f317(f317(f6(a898,x84371),x84372),f317(f292(a898,x84373),x84375)))+~P1(f317(f317(f225(a898),x84374),x84375))+~P1(f317(f317(f225(a898),x84373),x84374)) % 199.88/201.01 [8766]~P62(x87662)+E(x87661,f2(x87662))+E(x87663,f2(x87662))+E(f317(f317(f281(x87662),f317(f317(f23(x87662),f317(f317(f75(x87662),x87664),x87661)),f317(f317(f75(x87662),x87665),x87663))),f317(f317(f75(x87662),x87663),x87661)),f317(f317(f23(x87662),f317(f317(f281(x87662),x87664),x87663)),f317(f317(f281(x87662),x87665),x87661))) % 199.88/201.01 [8767]~P62(x87672)+E(x87671,f2(x87672))+E(x87673,f2(x87672))+E(f317(f317(f281(x87672),f317(f317(f74(x87672),f317(f317(f75(x87672),x87674),x87671)),f317(f317(f75(x87672),x87675),x87673))),f317(f317(f75(x87672),x87673),x87671)),f317(f317(f74(x87672),f317(f317(f281(x87672),x87674),x87673)),f317(f317(f281(x87672),x87675),x87671))) % 199.88/201.01 [8776]~E(x87762,f317(x87763,x87761))+E(x87761,f460(x87762,x87763,x87764,x87765))+~P24(x87765,x87764,x87763,f232(f905(x87765,a894)))+~P1(f317(f317(f319(x87764),x87762),f317(f300(x87765,x87764,x87763),f232(f905(x87765,a894))))) % 199.88/201.01 [8993]~P111(x89931)+~P1(f317(f317(f226(x89931),f317(f70(x89931),x89932)),x89934))+P1(f317(f317(f226(x89931),f317(f317(f75(x89931),f317(f70(x89931),x89932)),f317(f70(x89931),x89933))),f317(f317(f75(x89931),x89934),x89935)))+~P1(f317(f317(f226(x89931),f317(f70(x89931),x89933)),x89935)) % 199.88/201.01 [9104]~P24(x91041,x91043,x91045,x91042)+~P1(f317(f28(x91043),x91044))+P1(f317(f317(f225(a898),f317(f29(x91041),x91042)),f317(f29(x91043),x91044)))+~P1(f317(f317(f225(f905(x91043,a894)),f317(f300(x91041,x91043,x91045),x91042)),x91044)) % 199.88/201.01 [9173]~P78(x91732)+~P24(x91731,x91731,x91734,x91735)+~P1(f317(f28(x91731),x91735))+E(f317(f317(f9(x91731,x91732),f317(f67(x91731,x91732,x91731,x91733),x91734)),x91735),f317(f317(f9(x91731,x91732),x91733),f317(f300(x91731,x91731,x91734),x91735))) % 199.88/201.01 [9174]~P77(x91742)+~P24(x91741,x91741,x91744,x91745)+~P1(f317(f28(x91741),x91745))+E(f317(f317(f6(x91741,x91742),f317(f67(x91741,x91742,x91741,x91743),x91744)),x91745),f317(f317(f6(x91741,x91742),x91743),f317(f300(x91741,x91741,x91744),x91745))) % 199.88/201.01 [9292]~P36(x92921,x92922)+~P1(f317(f317(f319(x92921),x92923),x92924))+~P1(f317(f317(f319(x92921),x92925),x92924))+~P1(f317(f317(f319(f904(x92921,x92921)),f317(f317(f242(x92921,x92921),x92925),f603(x92922,x92921,x92924))),x92922)) % 199.88/201.01 [9329]~P24(x93292,x93293,x93295,x93291)+E(x93291,f178(f905(x93292,a894)))+E(f317(f300(x93293,x93292,f524(x93294,x93293,x93292,x93291)),x93294),x93291)+~P1(f317(f317(f225(f905(x93293,a894)),f317(f300(x93292,x93293,x93295),x93291)),x93294)) % 199.88/201.01 [9824]~P108(x98245)+~P5(x98245)+P1(f317(f317(f319(x98241),f366(x98242,x98243,x98241,x98244,x98245)),x98243))+~P1(f317(f317(f226(x98245),x98244),f317(f317(f34(x98241,x98245),x98243),x98242))) % 199.88/201.01 [9829]~P108(x98291)+~P5(x98291)+P1(f317(f317(f226(x98291),x98292),f317(x98293,f366(x98293,x98294,x98295,x98292,x98291))))+~P1(f317(f317(f226(x98291),x98292),f317(f317(f34(x98295,x98291),x98294),x98293))) % 199.88/201.01 [9907]~P74(x99071)+~P1(f317(f60(x99071,x99071,f75(x99071),x99072,x99073),x99075))+P1(f317(f317(f319(x99071),x99072),x99073))+P1(f317(f60(x99071,x99071,f75(x99071),x99074,f317(f317(f299(x99071),x99072),x99073)),f317(f317(f75(x99071),x99074),x99075))) % 199.88/201.01 [10119]~P78(x101192)+~P1(f317(f28(x101191),x101195))+E(f317(f317(f9(x101191,x101192),f317(f317(f7(x101191,x101192,x101192),f317(f317(f18(x101191,x101192,f905(x101192,x101192)),f317(f317(f8(a894,f905(x101192,f905(x101192,x101192)),x101191),f86(x101192)),f317(a314,x101193))),x101194)),f72(x101192))),x101195),f72(x101192))+P1(f317(f317(f319(x101191),x101193),x101195)) % 199.88/201.01 [10120]~P77(x101202)+~P1(f317(f28(x101201),x101205))+E(f317(f317(f6(x101201,x101202),f317(f317(f7(x101201,x101202,x101202),f317(f317(f18(x101201,x101202,f905(x101202,x101202)),f317(f317(f8(a894,f905(x101202,f905(x101202,x101202)),x101201),f86(x101202)),f317(a314,x101203))),x101204)),f2(x101202))),x101205),f2(x101202))+P1(f317(f317(f319(x101201),x101203),x101205)) % 199.88/201.01 [10121]~P78(x101212)+~P1(f317(f28(x101211),x101215))+E(f317(f317(f9(x101211,x101212),f317(f317(f7(x101211,x101212,x101212),f317(f317(f18(x101211,x101212,f905(x101212,x101212)),f317(f317(f8(a894,f905(x101212,f905(x101212,x101212)),x101211),f86(x101212)),f317(a314,x101213))),x101214)),f72(x101212))),x101215),f317(x101214,x101213))+~P1(f317(f317(f319(x101211),x101213),x101215)) % 199.88/201.01 [10122]~P77(x101222)+~P1(f317(f28(x101221),x101225))+E(f317(f317(f6(x101221,x101222),f317(f317(f7(x101221,x101222,x101222),f317(f317(f18(x101221,x101222,f905(x101222,x101222)),f317(f317(f8(a894,f905(x101222,f905(x101222,x101222)),x101221),f86(x101222)),f317(a314,x101223))),x101224)),f2(x101222))),x101225),f317(x101224,x101223))+~P1(f317(f317(f319(x101221),x101223),x101225)) % 199.88/201.01 [10180]~P78(x101802)+~P1(f317(f28(x101801),x101805))+E(f317(f317(f9(x101801,x101802),f317(f317(f7(x101801,x101802,x101802),f317(f317(f18(x101801,x101802,f905(x101802,x101802)),f317(f317(f8(a894,f905(x101802,f905(x101802,x101802)),x101801),f86(x101802)),f317(f317(f7(x101801,x101801,a894),a314),x101803))),x101804)),f72(x101802))),x101805),f72(x101802))+P1(f317(f317(f319(x101801),x101803),x101805)) % 199.88/201.01 [10181]~P77(x101812)+~P1(f317(f28(x101811),x101815))+E(f317(f317(f6(x101811,x101812),f317(f317(f7(x101811,x101812,x101812),f317(f317(f18(x101811,x101812,f905(x101812,x101812)),f317(f317(f8(a894,f905(x101812,f905(x101812,x101812)),x101811),f86(x101812)),f317(f317(f7(x101811,x101811,a894),a314),x101813))),x101814)),f2(x101812))),x101815),f2(x101812))+P1(f317(f317(f319(x101811),x101813),x101815)) % 199.88/201.01 [10183]~P78(x101832)+~P1(f317(f28(x101831),x101835))+E(f317(f317(f9(x101831,x101832),f317(f317(f7(x101831,x101832,x101832),f317(f317(f18(x101831,x101832,f905(x101832,x101832)),f317(f317(f8(a894,f905(x101832,f905(x101832,x101832)),x101831),f86(x101832)),f317(f317(f7(x101831,x101831,a894),a314),x101833))),x101834)),f72(x101832))),x101835),f317(x101834,x101833))+~P1(f317(f317(f319(x101831),x101833),x101835)) % 199.88/201.01 [10184]~P77(x101842)+~P1(f317(f28(x101841),x101845))+E(f317(f317(f6(x101841,x101842),f317(f317(f7(x101841,x101842,x101842),f317(f317(f18(x101841,x101842,f905(x101842,x101842)),f317(f317(f8(a894,f905(x101842,f905(x101842,x101842)),x101841),f86(x101842)),f317(f317(f7(x101841,x101841,a894),a314),x101843))),x101844)),f2(x101842))),x101845),f317(x101844,x101843))+~P1(f317(f317(f319(x101841),x101843),x101845)) % 199.88/201.01 [7941]~P68(x79412)+~P1(f317(f28(x79411),x79414))+E(f317(f317(f6(x79411,x79412),x79413),f317(f317(f23(f905(x79411,a894)),x79414),f317(f317(f299(x79411),x79415),f178(f905(x79411,a894))))),f317(f317(f6(x79411,x79412),x79413),x79414))+P1(f317(f317(f319(x79411),x79415),x79414)) % 199.88/201.01 [8444]~P140(x84442)+~P1(f317(f28(x84441),x84444))+E(f317(f317(f6(x84441,x84442),x84443),f317(f317(f23(f905(x84441,a894)),x84444),f317(f317(f299(x84441),x84445),f178(f905(x84441,a894))))),f317(f317(f23(x84442),f317(f317(f6(x84441,x84442),x84443),x84444)),f317(x84443,x84445)))+~P1(f317(f317(f319(x84441),x84445),x84444)) % 199.88/201.01 [8445]~P68(x84452)+~P1(f317(f28(x84451),x84454))+E(f317(f317(f6(x84451,x84452),x84453),f317(f317(f23(f905(x84451,a894)),x84454),f317(f317(f299(x84451),x84455),f178(f905(x84451,a894))))),f317(f317(f23(x84452),f317(f317(f6(x84451,x84452),x84453),x84454)),f317(x84453,x84455)))+~P1(f317(f317(f319(x84451),x84455),x84454)) % 199.88/201.01 [8457]~P112(x84571)+~P1(f317(f317(f225(a898),x84573),x84575))+~P1(f317(f317(f277(x84571),f317(f317(f234(x84571),x84572),x84575)),x84574))+P1(f317(f317(f277(x84571),f317(f317(f234(x84571),x84572),x84573)),x84574)) % 199.88/201.01 [8475]~P68(x84751)+~P1(f317(f28(x84752),x84754))+E(f317(f317(f23(x84751),f317(f317(f6(x84752,x84751),x84753),x84754)),f317(f317(f6(x84752,x84751),x84753),x84755)),f317(f317(f6(x84752,x84751),x84753),f317(f317(f23(f905(x84752,a894)),x84754),x84755)))+~P1(f317(f317(f225(f905(x84752,a894)),x84755),x84754)) % 199.88/201.01 [8494]P1(f317(f28(x84941),f317(x84942,x84943)))+~P1(f317(f28(x84944),x84945))+~P1(f317(f317(f319(x84944),x84943),x84945))+~P1(f317(f28(x84941),f317(f317(f34(x84944,f905(x84941,a894)),x84945),x84942))) % 199.88/201.01 [8949]~P8(x89491,x89495,x89494)+~E(f317(f275(x89491,x89491,x89494),f317(f317(f299(x89491),x89492),f178(f905(x89491,a894)))),f317(f275(x89491,x89491,x89494),f317(f317(f299(x89491),x89493),f178(f905(x89491,a894)))))+~P1(f317(f317(f319(x89491),x89493),x89495))+P1(f317(f317(f319(f904(x89491,x89491)),f317(f317(f242(x89491,x89491),x89492),x89493)),x89494)) % 199.88/201.01 [9248]~P1(f317(x92481,x92485))+P1(f317(x92481,f340(x92481,x92482,x92483,x92484)))+P1(f317(x92481,f339(x92481,x92482,x92483,x92484)))+~P1(f317(f317(f319(x92484),x92485),f317(f317(f91(f905(x92484,a894)),x92483),x92482))) % 199.88/201.01 [9437]~P1(f317(x94371,x94375))+P1(f317(x94371,f339(x94371,x94372,x94373,x94374)))+P1(f317(f317(f319(x94374),f340(x94371,x94372,x94373,x94374)),x94372))+~P1(f317(f317(f319(x94374),x94375),f317(f317(f91(f905(x94374,a894)),x94373),x94372))) % 199.88/201.01 [9438]~P1(f317(x94381,x94385))+P1(f317(x94381,f340(x94381,x94382,x94383,x94384)))+P1(f317(f317(f319(x94384),f339(x94381,x94382,x94383,x94384)),x94383))+~P1(f317(f317(f319(x94384),x94385),f317(f317(f91(f905(x94384,a894)),x94383),x94382))) % 199.88/201.01 [9442]P1(f317(x94421,x94422))+~P1(f317(x94421,f344(x94421,x94423,x94424,x94425)))+~P1(f317(x94421,f343(x94421,x94423,x94424,x94425)))+~P1(f317(f317(f319(x94425),x94422),f317(f317(f91(f905(x94425,a894)),x94424),x94423))) % 199.88/201.01 [9447]~P37(x94471,x94474)+~P1(f317(f317(f319(f904(x94471,x94471)),f317(f317(f242(x94471,x94471),x94472),x94475)),x94474))+P1(f317(f317(f319(f904(x94471,x94471)),f317(f317(f242(x94471,x94471),x94472),x94473)),x94474))+~P1(f317(f317(f319(f904(x94471,x94471)),f317(f317(f242(x94471,x94471),x94475),x94473)),x94474)) % 199.88/201.01 [9486]E(x94861,x94862)+~P1(f317(f317(f319(f904(x94863,x94863)),f317(f317(f242(x94863,x94863),x94861),x94862)),f297(x94863,x94865)))+P1(f317(f317(f319(x94863),x94861),x94864))+~P1(f317(f317(f225(f905(f904(x94863,x94863),a894)),x94865),f317(f317(f244(x94863,x94863),x94864),f317(f16(f905(x94863,a894),x94863),x94864)))) % 199.88/201.01 [9504]P1(f317(x95041,x95042))+~P1(f317(x95041,f343(x95041,x95044,x95045,x95043)))+P1(f317(f317(f319(x95043),f344(x95041,x95044,x95045,x95043)),x95044))+~P1(f317(f317(f319(x95043),x95042),f317(f317(f91(f905(x95043,a894)),x95045),x95044))) % 199.88/201.01 [9505]P1(f317(x95051,x95052))+~P1(f317(x95051,f344(x95051,x95054,x95055,x95053)))+P1(f317(f317(f319(x95053),f343(x95051,x95054,x95055,x95053)),x95055))+~P1(f317(f317(f319(x95053),x95052),f317(f317(f91(f905(x95053,a894)),x95055),x95054))) % 199.88/201.01 [9573]P1(f317(x95731,x95732))+P1(f317(f317(f319(x95733),f344(x95731,x95734,x95735,x95733)),x95734))+P1(f317(f317(f319(x95733),f343(x95731,x95734,x95735,x95733)),x95735))+~P1(f317(f317(f319(x95733),x95732),f317(f317(f91(f905(x95733,a894)),x95735),x95734))) % 199.88/201.01 [9575]~P1(f317(x95752,x95755))+P1(f317(f317(f319(x95751),f340(x95752,x95753,x95754,x95751)),x95753))+P1(f317(f317(f319(x95751),f339(x95752,x95753,x95754,x95751)),x95754))+~P1(f317(f317(f319(x95751),x95755),f317(f317(f91(f905(x95751,a894)),x95754),x95753))) % 199.88/201.01 [9731]~P8(x97311,x97315,x97314)+~P1(f317(f317(f319(x97311),x97313),x97315))+P1(f317(f317(f319(f904(x97311,x97311)),f317(f317(f242(x97311,x97311),x97312),x97313)),x97314))+~P1(f317(f317(f225(f905(x97311,a894)),f317(f275(x97311,x97311,x97314),f317(f317(f299(x97311),x97313),f178(f905(x97311,a894))))),f317(f275(x97311,x97311,x97314),f317(f317(f299(x97311),x97312),f178(f905(x97311,a894)))))) % 199.88/201.01 [9858]~P108(x98585)+~P5(x98585)+P1(f317(f317(f319(x98581),f470(x98582,x98583,x98584,x98581,x98585)),x98584))+~P1(f317(f317(f226(x98585),f317(f317(f35(x98581,x98585),x98584),x98583)),x98582)) % 199.88/201.01 [9890]~P84(x98905)+~P81(x98905)+P1(f317(f317(f319(x98901),f673(x98902,x98903,x98904,x98901,x98905)),f317(f162(x98901),x98904)))+P1(f317(f317(f225(x98905),f317(f155(x98905),f317(f317(f144(x98901,x98905),x98903),x98904))),f317(f155(x98905),f317(f317(f144(x98901,x98905),x98902),x98904)))) % 199.88/201.01 [9998]~P108(x99981)+~P5(x99981)+P1(f317(f317(f226(x99981),f317(x99982,f470(x99983,x99982,x99984,x99985,x99981))),x99983))+~P1(f317(f317(f226(x99981),f317(f317(f35(x99985,x99981),x99984),x99982)),x99983)) % 199.88/201.01 [10137]~P84(x101371)+~P81(x101371)+~P1(f317(f317(f225(x101371),f317(x101373,f673(x101375,x101373,x101374,x101372,x101371))),f317(x101375,f673(x101375,x101373,x101374,x101372,x101371))))+P1(f317(f317(f225(x101371),f317(f155(x101371),f317(f317(f144(x101372,x101371),x101373),x101374))),f317(f155(x101371),f317(f317(f144(x101372,x101371),x101375),x101374)))) % 199.88/201.01 [8788]~P78(x87881)+~P1(f317(f28(x87884),x87885))+~P1(f317(f317(f319(x87884),x87883),x87885))+E(f317(f317(f75(x87881),f317(x87882,x87883)),f317(f317(f9(x87884,x87881),x87882),f317(f317(f23(f905(x87884,a894)),x87885),f317(f317(f299(x87884),x87883),f178(f905(x87884,a894)))))),f317(f317(f9(x87884,x87881),x87882),x87885)) % 199.88/201.01 [8790]~P77(x87901)+~P1(f317(f28(x87904),x87905))+~P1(f317(f317(f319(x87904),x87903),x87905))+E(f317(f317(f74(x87901),f317(x87902,x87903)),f317(f317(f6(x87904,x87901),x87902),f317(f317(f23(f905(x87904,a894)),x87905),f317(f317(f299(x87904),x87903),f178(f905(x87904,a894)))))),f317(f317(f6(x87904,x87901),x87902),x87905)) % 199.88/201.01 [8850]~P18(x88501,x88504,x88505)+~P1(f317(f28(x88501),x88502))+E(f317(f317(f23(f905(x88501,a894)),x88502),f317(f317(f299(x88501),x88503),f178(f905(x88501,a894)))),f178(f905(x88501,a894)))+E(f317(f317(x88504,x88503),f317(x88505,f317(f317(f23(f905(x88501,a894)),x88502),f317(f317(f299(x88501),x88503),f178(f905(x88501,a894)))))),f317(x88505,f317(f317(f299(x88501),x88503),x88502))) % 199.88/201.01 [9226]~P77(x92261)+~P1(f317(f28(x92262),x92265))+~P1(f317(f28(x92262),x92264))+E(f317(f317(f74(x92261),f317(f317(f6(x92262,x92261),x92263),f317(f317(f91(f905(x92262,a894)),x92264),x92265))),f317(f317(f6(x92262,x92261),x92263),f317(f317(f92(f905(x92262,a894)),x92264),x92265))),f317(f317(f74(x92261),f317(f317(f6(x92262,x92261),x92263),x92264)),f317(f317(f6(x92262,x92261),x92263),x92265))) % 199.88/201.01 [9228]~P78(x92281)+~P1(f317(f28(x92282),x92285))+~P1(f317(f28(x92282),x92284))+E(f317(f317(f75(x92281),f317(f317(f9(x92282,x92281),x92283),f317(f317(f91(f905(x92282,a894)),x92284),x92285))),f317(f317(f9(x92282,x92281),x92283),f317(f317(f92(f905(x92282,a894)),x92284),x92285))),f317(f317(f75(x92281),f317(f317(f9(x92282,x92281),x92283),x92284)),f317(f317(f9(x92282,x92281),x92283),x92285))) % 199.88/201.01 [9370]~P68(x93701)+~P1(f317(f28(x93702),x93705))+~P1(f317(f28(x93702),x93704))+E(f317(f317(f23(x93701),f317(f317(f74(x93701),f317(f317(f6(x93702,x93701),x93703),x93704)),f317(f317(f6(x93702,x93701),x93703),x93705))),f317(f317(f6(x93702,x93701),x93703),f317(f317(f92(f905(x93702,a894)),x93704),x93705))),f317(f317(f6(x93702,x93701),x93703),f317(f317(f91(f905(x93702,a894)),x93704),x93705))) % 199.88/201.01 [9589]~P24(x95891,x95892,x95893,x95895)+~P24(x95891,x95892,x95893,x95894)+P24(x95891,x95892,x95893,f317(f317(f91(f905(x95891,a894)),x95894),x95895))+~E(f317(f317(f92(f905(x95892,a894)),f317(f300(x95891,x95892,x95893),f317(f317(f23(f905(x95891,a894)),x95894),x95895))),f317(f300(x95891,x95892,x95893),f317(f317(f23(f905(x95891,a894)),x95895),x95894))),f178(f905(x95892,a894))) % 199.88/201.01 [9706]E(x97061,f2(a1))+~P1(f317(f317(f226(a1),f2(a1)),x97063))+~P1(f317(f44(x97062,x97061),f317(f317(f242(a1,a1),x97064),x97065)))+P1(f317(f44(x97062,f317(f317(f75(a1),x97061),x97063)),f317(f317(f242(a1,a1),f317(f317(f30(a1),x97064),x97063)),f317(f317(f74(a1),f317(f317(f75(a1),x97061),f40(a1,x97064,x97063))),x97065)))) % 199.88/201.01 [9714]~P1(f317(f317(f226(a898),f2(a898)),x97143))+~P1(f317(f317(f226(a898),f2(a898)),x97142))+~P1(f317(f43(x97141,x97142),f317(f317(f242(a898,a898),x97144),x97145)))+P1(f317(f43(x97141,f317(f317(f75(a898),x97142),x97143)),f317(f317(f242(a898,a898),f317(f317(f30(a898),x97144),x97143)),f317(f317(f74(a898),f317(f317(f75(a898),x97142),f40(a898,x97144,x97143))),x97145)))) % 199.88/201.01 [9763]~P78(x97631)+~P1(f317(f28(x97632),x97635))+~P1(f317(f28(x97632),x97634))+E(f317(f317(f75(x97631),f317(f317(f317(f59(x97631,x97632,f75(x97631)),x97633),f72(x97631)),f317(f317(f91(f905(x97632,a894)),x97634),x97635))),f317(f317(f317(f59(x97631,x97632,f75(x97631)),x97633),f72(x97631)),f317(f317(f92(f905(x97632,a894)),x97634),x97635))),f317(f317(f75(x97631),f317(f317(f317(f59(x97631,x97632,f75(x97631)),x97633),f72(x97631)),x97634)),f317(f317(f317(f59(x97631,x97632,f75(x97631)),x97633),f72(x97631)),x97635))) % 199.88/201.01 [9765]~E(f317(f317(f165(x97651),x97655),x97652),f317(f317(f165(x97651),x97655),x97653))+P1(f317(f317(f319(f904(f899(x97651),f899(x97651))),f317(f317(f242(f899(x97651),f899(x97651)),x97652),x97653)),f137(x97651,x97654)))+~P1(f317(f317(f226(a898),x97655),f317(f317(f229(a898),f317(f179(f899(x97651)),x97652)),f317(f179(f899(x97651)),x97653))))+~P1(f317(f317(f319(f904(x97651,x97651)),f317(f317(f242(x97651,x97651),f317(f317(f154(x97651),x97652),x97655)),f317(f317(f154(x97651),x97653),x97655))),x97654)) % 199.88/201.01 [9879]~P84(x98795)+~P144(x98795)+P1(f317(f317(f319(x98791),f421(x98792,x98793,x98794,x98791,x98795)),x98794))+P1(f317(f317(f225(x98795),f317(f317(f6(x98791,x98795),x98793),x98794)),f317(f317(f75(x98795),f317(f90(x98795),f317(f29(x98791),x98794))),x98792))) % 199.88/201.01 [10055]~P84(x100551)+~P144(x100551)+~P1(f317(f317(f225(x100551),f317(x100553,f421(x100555,x100553,x100554,x100552,x100551))),x100555))+P1(f317(f317(f225(x100551),f317(f317(f6(x100552,x100551),x100553),x100554)),f317(f317(f75(x100551),f317(f90(x100551),f317(f29(x100552),x100554))),x100555))) % 199.88/201.01 [8818]E(f317(f317(f124(x88181),x88182),x88183),f317(f317(f124(x88181),x88184),x88185))+~E(f317(f317(f165(x88181),f317(f179(f899(x88181)),x88182)),x88184),x88182)+~E(f317(f317(f124(x88181),f317(f317(f128(x88181),f317(f179(f899(x88181)),x88182)),x88184)),x88185),x88183)+P1(f317(f317(f225(a898),f317(f179(f899(x88181)),x88184)),f317(f179(f899(x88181)),x88182))) % 199.88/201.01 [8948]E(f317(f317(f124(x89481),x89482),x89483),f317(f317(f124(x89481),x89484),x89485))+~E(f317(f317(f165(x89481),f317(f179(f899(x89481)),x89482)),x89484),x89482)+~E(x89483,f317(f317(f124(x89481),f317(f317(f128(x89481),f317(f179(f899(x89481)),x89482)),x89484)),x89485))+~P1(f317(f317(f225(a898),f317(f179(f899(x89481)),x89482)),f317(f179(f899(x89481)),x89484))) % 199.88/201.01 [10201]~P1(f317(x102015,x102014))+~P1(f317(f28(x102012),f317(f252(x102012),x102015)))+P1(f317(f28(x102011),f317(f252(x102011),f317(f317(f7(x102011,x102012,a894),x102013),x102014))))+~P1(f317(f28(x102011),f317(f252(x102011),f317(f317(f8(f905(x102012,a894),a894,x102011),f81(x102012)),f317(f317(f8(f905(x102012,a894),f905(x102012,a894),x102011),f317(f18(x102012,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102012),a315),x102015))),x102013))))) % 199.88/201.01 [10277]~P1(f317(f28(x102772),x102775))+~P1(f317(f317(f319(x102772),x102774),x102775))+P1(f317(f28(x102771),f317(f252(x102771),f317(f317(f7(x102771,x102772,a894),x102773),x102774))))+~P1(f317(f28(x102771),f317(f252(x102771),f317(f317(f8(f905(x102772,a894),a894,x102771),f81(x102772)),f317(f317(f8(f905(x102772,a894),f905(x102772,a894),x102771),f317(f18(x102772,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102772),a315),f317(f317(f7(x102772,f905(x102772,a894),a894),f319(x102772)),x102775)))),x102773))))) % 199.88/201.01 [8604]~P19(x86045,x86041,x86046,x86042)+E(f317(f67(x86041,x86041,x86041,f317(x86042,x86043)),f317(x86042,x86044)),f317(f67(x86041,x86041,x86041,f317(x86042,x86044)),f317(x86042,x86043)))+~P1(f317(f28(x86045),x86044))+~P1(f317(f28(x86045),x86043)) % 199.88/201.01 [7997]~P24(x79971,x79972,x79974,x79973)+~E(f317(x79974,x79976),x79975)+E(f317(f71(x79971,x79972,x79973,x79974),x79975),x79976)+~P1(f317(f317(f319(x79971),x79976),x79973)) % 199.88/201.01 [7998]~P24(x79981,x79982,x79984,x79983)+~E(f317(x79984,x79986),x79985)+E(f317(f85(x79981,x79982,x79983,x79984),x79985),x79986)+~P1(f317(f317(f319(x79981),x79986),x79983)) % 199.88/201.01 [8191]~P20(x81916,x81911,x81914,x81912)+E(f317(f67(x81911,x81911,x81911,f317(x81912,x81913)),f317(x81914,x81915)),f317(x81912,x81913))+~P1(f317(f28(x81916),x81913))+~P1(f317(f317(f319(x81916),x81915),x81913)) % 199.88/201.01 [9320]E(x93201,x93202)+~E(f317(f85(x93203,x93204,x93205,x93206),x93201),f317(f85(x93203,x93204,x93205,x93206),x93202))+~P1(f317(f317(f319(x93204),x93202),f317(f300(x93203,x93204,x93206),x93205)))+~P1(f317(f317(f319(x93204),x93201),f317(f300(x93203,x93204,x93206),x93205))) % 199.88/201.01 [9421]~P19(x94213,x94211,x94216,x94212)+E(f317(f67(x94211,x94211,x94211,f317(x94212,f317(f317(f23(f905(x94213,a894)),x94214),f317(f317(f299(x94213),x94215),f178(f905(x94213,a894)))))),f317(x94216,x94215)),f317(x94212,x94214))+~P1(f317(f28(x94213),x94214))+~P1(f317(f317(f319(x94213),x94215),x94214)) % 199.88/201.01 [7078]~P4(x70781)+~E(f40(x70781,x70783,x70784),f40(x70781,x70786,x70784))+~E(f40(x70781,x70782,x70784),f40(x70781,x70785,x70784))+E(f40(x70781,f317(f317(f23(x70781),x70782),x70783),x70784),f40(x70781,f317(f317(f23(x70781),x70785),x70786),x70784)) % 199.88/201.01 [7079]~P3(x70791)+~E(f40(x70791,x70793,x70794),f40(x70791,x70796,x70794))+~E(f40(x70791,x70792,x70794),f40(x70791,x70795,x70794))+E(f40(x70791,f317(f317(f74(x70791),x70792),x70793),x70794),f40(x70791,f317(f317(f74(x70791),x70795),x70796),x70794)) % 199.88/201.01 [7080]~P3(x70801)+~E(f40(x70801,x70803,x70804),f40(x70801,x70806,x70804))+~E(f40(x70801,x70802,x70804),f40(x70801,x70805,x70804))+E(f40(x70801,f317(f317(f75(x70801),x70802),x70803),x70804),f40(x70801,f317(f317(f75(x70801),x70805),x70806),x70804)) % 199.88/201.01 [7892]~P16(x78921,x78922,x78923)+~P1(f317(f28(x78921),x78926))+E(f317(f317(f58(x78921,x78922,x78923),x78924),f317(f317(f299(x78921),x78925),x78926)),f317(f317(f58(x78921,x78922,x78923),f317(f317(x78923,x78925),x78924)),x78926))+P1(f317(f317(f319(x78921),x78925),x78926)) % 199.88/201.01 [7956]~P5(x79561)+P1(f317(f317(f225(x79561),x79562),f317(x79563,x79564)))+~P1(f317(f317(f319(x79565),x79564),x79566))+~P1(f317(f317(f225(x79561),x79562),f317(f317(f35(x79565,x79561),x79566),x79563))) % 199.88/201.01 [8113]~P16(x81131,x81132,x81133)+~P1(f317(f28(x81131),x81136))+E(f317(f317(f58(x81131,x81132,x81133),x81134),f317(f317(f299(x81131),x81135),x81136)),f317(f317(x81133,x81135),f317(f317(f58(x81131,x81132,x81133),x81134),x81136)))+P1(f317(f317(f319(x81131),x81135),x81136)) % 199.88/201.01 [8209]~P108(x82093)+~P1(f317(x82092,x82095))+~P13(x82093,f317(f317(f144(x82091,x82093),x82094),x82096))+E(f317(f126(x82091,x82092),f317(f317(f138(x82091,x82093,x82094),x82095),x82096)),f317(f317(f138(x82091,x82093,x82094),x82095),f317(f126(x82091,x82092),x82096))) % 199.88/201.01 [8232]E(x82321,x82322)+E(x82323,f2(a1))+~P1(f317(f44(x82324,x82323),f317(f317(f242(a1,a1),x82325),x82322)))+~P1(f317(f44(x82324,x82323),f317(f317(f242(a1,a1),x82326),x82321))) % 199.88/201.01 [8233]E(x82331,x82332)+E(x82333,f2(a1))+~P1(f317(f44(x82334,x82333),f317(f317(f242(a1,a1),x82332),x82335)))+~P1(f317(f44(x82334,x82333),f317(f317(f242(a1,a1),x82331),x82336))) % 199.88/201.01 [8256]~P19(x82562,x82565,x82566,x82561)+~P1(f317(f28(x82562),x82564))+E(f317(x82561,f317(f317(f299(x82562),x82563),x82564)),f317(f67(x82565,x82565,x82565,f317(x82561,x82564)),f317(x82566,x82563)))+P1(f317(f317(f319(x82562),x82563),x82564)) % 199.88/201.01 [8478]~P20(x84785,x84781,x84786,x84782)+E(f317(f67(x84781,x84781,x84781,f317(x84782,x84783)),f317(x84782,x84784)),f317(x84782,x84783))+~P1(f317(f28(x84785),x84783))+~P1(f317(f317(f225(f905(x84785,a894)),x84784),x84783)) % 199.88/201.01 [9636]~P24(x96361,x96362,x96364,x96363)+~P1(f317(f317(f319(x96362),x96365),f317(f300(x96361,x96362,x96364),x96363)))+P1(f317(f317(f319(x96361),f317(f71(x96361,x96362,x96363,x96364),x96365)),x96366))+~P1(f317(f317(f225(f905(x96361,a894)),x96363),x96366)) % 199.88/201.01 [10009]~P77(x100092)+~E(f424(x100091,x100093,x100095,x100096,x100094,x100092),f425(x100091,x100093,x100095,x100096,x100094,x100092))+~P1(f317(f28(x100094),x100096))+E(f317(f317(f6(x100091,x100092),x100093),f317(f300(x100094,x100091,x100095),x100096)),f317(f317(f6(x100094,x100092),f317(f67(x100091,x100092,x100094,x100093),x100095)),x100096)) % 199.88/201.01 [10037]~P77(x100376)+E(f317(x100371,f424(x100372,x100373,x100371,x100374,x100375,x100376)),f317(x100371,f425(x100372,x100373,x100371,x100374,x100375,x100376)))+E(f317(f317(f6(x100372,x100376),x100373),f317(f300(x100375,x100372,x100371),x100374)),f317(f317(f6(x100375,x100376),f317(f67(x100372,x100376,x100375,x100373),x100371)),x100374))+~P1(f317(f28(x100375),x100374)) % 199.88/201.01 [10087]~P77(x100872)+~E(f317(x100873,f317(x100875,f425(x100871,x100873,x100875,x100876,x100874,x100872))),f2(x100872))+~P1(f317(f28(x100874),x100876))+E(f317(f317(f6(x100871,x100872),x100873),f317(f300(x100874,x100871,x100875),x100876)),f317(f317(f6(x100874,x100872),f317(f67(x100871,x100872,x100874,x100873),x100875)),x100876)) % 199.88/201.01 [10145]~P77(x101452)+~P1(f317(f28(x101454),x101456))+E(f317(f317(f6(x101451,x101452),x101453),f317(f300(x101454,x101451,x101455),x101456)),f317(f317(f6(x101454,x101452),f317(f67(x101451,x101452,x101454,x101453),x101455)),x101456))+P1(f317(f317(f319(x101454),f425(x101451,x101453,x101455,x101456,x101454,x101452)),x101456)) % 199.88/201.01 [10146]~P77(x101462)+~P1(f317(f28(x101464),x101466))+E(f317(f317(f6(x101461,x101462),x101463),f317(f300(x101464,x101461,x101465),x101466)),f317(f317(f6(x101464,x101462),f317(f67(x101461,x101462,x101464,x101463),x101465)),x101466))+P1(f317(f317(f319(x101464),f424(x101461,x101463,x101465,x101466,x101464,x101462)),x101466)) % 199.88/201.01 [10276]~P78(x102761)+~P1(f317(f28(x102762),x102766))+E(f317(f317(f317(f59(x102761,x102762,f75(x102761)),f317(f317(f18(x102762,f905(x102763,a894),x102761),f317(f317(f7(x102762,x102761,f905(f905(x102763,a894),x102761)),f317(f317(f8(f905(x102763,x102761),f905(x102761,f905(f905(x102763,a894),x102761)),x102762),f59(x102761,x102763,f75(x102761))),x102764)),f72(x102761))),x102765)),f72(x102761)),x102766),f317(f317(f317(f59(x102761,f904(x102762,x102763),f75(x102761)),f317(f247(x102762,x102763,x102761),x102764)),f72(x102761)),f317(f317(f244(x102762,x102763),x102766),x102765)))+P1(f317(f317(f319(x102762),f505(x102764,x102765,x102763,x102766,x102762,x102761)),x102766)) % 199.88/201.01 [10298]~P78(x102981)+~P1(f317(f28(x102982),x102986))+E(f317(f317(f317(f59(x102981,x102982,f75(x102981)),f317(f317(f18(x102982,f905(x102983,a894),x102981),f317(f317(f7(x102982,x102981,f905(f905(x102983,a894),x102981)),f317(f317(f8(f905(x102983,x102981),f905(x102981,f905(f905(x102983,a894),x102981)),x102982),f59(x102981,x102983,f75(x102981))),x102984)),f72(x102981))),x102985)),f72(x102981)),x102986),f317(f317(f317(f59(x102981,f904(x102982,x102983),f75(x102981)),f317(f247(x102982,x102983,x102981),x102984)),f72(x102981)),f317(f317(f244(x102982,x102983),x102986),x102985)))+~P1(f317(f28(x102983),f317(x102985,f505(x102984,x102985,x102983,x102986,x102982,x102981)))) % 199.88/201.01 [8388]~P20(x83882,x83885,x83886,x83881)+~P1(f317(f28(x83882),x83884))+~P1(f317(f28(x83882),x83883))+E(f317(x83881,f317(f317(f91(f905(x83882,a894)),x83883),x83884)),f317(f67(x83885,x83885,x83885,f317(x83881,x83883)),f317(x83881,x83884))) % 199.88/201.01 [8605]~P5(x86051)+P1(f317(f317(f225(x86051),f317(x86052,x86053)),x86054))+~P1(f317(f317(f319(x86055),x86053),x86056))+~P1(f317(f317(f225(x86051),f317(f317(f34(x86055,x86051),x86056),x86052)),x86054)) % 199.88/201.01 [9034]~P24(x90342,x90341,x90343,x90346)+E(f317(f317(f23(f905(x90341,a894)),f317(f300(x90342,x90341,x90343),x90344)),f317(f300(x90342,x90341,x90343),x90345)),f317(f300(x90342,x90341,x90343),f317(f317(f23(f905(x90342,a894)),x90344),x90345)))+~P1(f317(f317(f225(f905(x90342,a894)),x90345),x90346))+~P1(f317(f317(f225(f905(x90342,a894)),x90344),x90346)) % 199.88/201.01 [9035]~P24(x90352,x90351,x90353,x90356)+E(f317(f317(f92(f905(x90351,a894)),f317(f300(x90352,x90351,x90353),x90354)),f317(f300(x90352,x90351,x90353),x90355)),f317(f300(x90352,x90351,x90353),f317(f317(f92(f905(x90352,a894)),x90354),x90355)))+~P1(f317(f317(f225(f905(x90352,a894)),x90355),x90356))+~P1(f317(f317(f225(f905(x90352,a894)),x90354),x90356)) % 199.88/201.01 [9294]E(x92941,x92942)+~P54(x92943,x92944,x92945)+~P1(f317(f317(f319(f904(x92943,x92944)),f317(f317(f242(x92943,x92944),x92946),x92942)),x92945))+~P1(f317(f317(f319(f904(x92943,x92944)),f317(f317(f242(x92943,x92944),x92946),x92941)),x92945)) % 199.88/201.01 [10083]~P74(x100831)+~E(f317(x100833,f725(x100834,x100836,x100833,x100835,x100832,x100831)),f317(x100836,f725(x100834,x100836,x100833,x100835,x100832,x100831)))+~P1(f317(f28(x100832),x100835))+E(f317(f317(f317(f59(x100831,x100832,f75(x100831)),x100833),x100834),x100835),f317(f317(f317(f59(x100831,x100832,f75(x100831)),x100836),x100834),x100835)) % 199.88/201.01 [10143]~P74(x101431)+~P1(f317(f28(x101432),x101435))+E(f317(f317(f317(f59(x101431,x101432,f75(x101431)),x101433),x101434),x101435),f317(f317(f317(f59(x101431,x101432,f75(x101431)),x101436),x101434),x101435))+P1(f317(f317(f319(x101432),f725(x101434,x101433,x101436,x101435,x101432,x101431)),x101435)) % 199.88/201.01 [8832]~P74(x88321)+~P1(f317(f28(x88322),x88326))+P1(f317(f317(f319(x88322),x88325),x88326))+E(f317(f317(f317(f59(x88321,x88322,f75(x88321)),x88323),x88324),f317(f317(f299(x88322),x88325),x88326)),f317(f317(f75(x88321),f317(x88323,x88325)),f317(f317(f317(f59(x88321,x88322,f75(x88321)),x88323),x88324),x88326))) % 199.88/201.01 [8885]~P8(x88851,x88856,x88853)+~P11(x88851,f905(x88852,a894),x88853,x88855)+~P1(f317(f317(f319(x88851),x88854),x88856))+E(f317(f317(f34(x88851,f905(x88852,a894)),f317(f275(x88851,x88851,x88853),f317(f317(f299(x88851),x88854),f178(f905(x88851,a894))))),x88855),f317(x88855,x88854)) % 199.88/201.01 [9011]~P16(x90113,x90114,x90111)+~P1(f317(f28(x90113),x90116))+~P1(f317(f317(f319(x90113),x90112),x90116))+E(f317(f317(x90111,x90112),f317(f317(f58(x90113,x90114,x90111),x90115),f317(f317(f23(f905(x90113,a894)),x90116),f317(f317(f299(x90113),x90112),f178(f905(x90113,a894)))))),f317(f317(f58(x90113,x90114,x90111),x90115),x90116)) % 199.88/201.01 [9304]~P19(x93043,x93041,x93046,x93042)+~P1(f317(f28(x93043),x93045))+~P1(f317(f28(x93043),x93044))+E(f317(f67(x93041,x93041,x93041,f317(x93042,f317(f317(f91(f905(x93043,a894)),x93044),x93045))),f317(x93042,f317(f317(f92(f905(x93043,a894)),x93044),x93045))),f317(f67(x93041,x93041,x93041,f317(x93042,x93044)),f317(x93042,x93045))) % 199.88/201.01 [9659]~E(x96593,f317(f317(f149(x96591,x96592),x96595),x96596))+P1(f317(f317(f319(f904(f899(x96591),f899(x96591))),f317(f317(f242(f899(x96591),f899(x96591)),x96592),x96593)),f147(x96591,x96594)))+~P1(f317(f317(f226(a898),x96595),f317(f179(f899(x96591)),x96592)))+~P1(f317(f317(f319(f904(x96591,x96591)),f317(f317(f242(x96591,x96591),f317(f317(f154(x96591),x96592),x96595)),x96596)),x96594)) % 199.88/201.01 [10160]~P78(x101602)+~P1(f317(f28(x101601),x101606))+P1(f317(f317(f319(x101601),f507(x101604,x101605,x101603,x101606,x101601,x101602)),x101606))+E(f317(f317(f9(x101601,x101602),f317(f317(f18(x101601,f905(x101603,a894),x101602),f317(f317(f8(f905(x101603,x101602),f905(f905(x101603,a894),x101602),x101601),f9(x101603,x101602)),x101604)),x101605)),x101606),f317(f317(f9(f904(x101601,x101603),x101602),f317(f247(x101601,x101603,x101602),x101604)),f317(f317(f244(x101601,x101603),x101606),x101605))) % 199.88/201.01 [10161]~P77(x101612)+~P1(f317(f28(x101611),x101616))+P1(f317(f317(f319(x101611),f508(x101614,x101615,x101613,x101616,x101611,x101612)),x101616))+E(f317(f317(f6(x101611,x101612),f317(f317(f18(x101611,f905(x101613,a894),x101612),f317(f317(f8(f905(x101613,x101612),f905(f905(x101613,a894),x101612),x101611),f6(x101613,x101612)),x101614)),x101615)),x101616),f317(f317(f6(f904(x101611,x101613),x101612),f317(f247(x101611,x101613,x101612),x101614)),f317(f317(f244(x101611,x101613),x101616),x101615))) % 199.88/201.01 [10199]~P78(x101992)+~P1(f317(f28(x101991),x101996))+~P1(f317(f28(x101993),f317(x101995,f507(x101994,x101995,x101993,x101996,x101991,x101992))))+E(f317(f317(f9(x101991,x101992),f317(f317(f18(x101991,f905(x101993,a894),x101992),f317(f317(f8(f905(x101993,x101992),f905(f905(x101993,a894),x101992),x101991),f9(x101993,x101992)),x101994)),x101995)),x101996),f317(f317(f9(f904(x101991,x101993),x101992),f317(f247(x101991,x101993,x101992),x101994)),f317(f317(f244(x101991,x101993),x101996),x101995))) % 199.88/201.01 [10200]~P77(x102002)+~P1(f317(f28(x102001),x102006))+~P1(f317(f28(x102003),f317(x102005,f508(x102004,x102005,x102003,x102006,x102001,x102002))))+E(f317(f317(f6(x102001,x102002),f317(f317(f18(x102001,f905(x102003,a894),x102002),f317(f317(f8(f905(x102003,x102002),f905(f905(x102003,a894),x102002),x102001),f6(x102003,x102002)),x102004)),x102005)),x102006),f317(f317(f6(f904(x102001,x102003),x102002),f317(f247(x102001,x102003,x102002),x102004)),f317(f317(f244(x102001,x102003),x102006),x102005))) % 199.88/201.01 [10182]~P78(x101822)+~P1(f317(f28(x101821),x101826))+P1(f317(f317(f319(x101821),x101823),x101826))+E(f317(f317(f9(x101821,x101822),f317(f317(f7(x101821,x101822,x101822),f317(f317(f18(x101821,x101822,f905(x101822,x101822)),f317(f317(f8(a894,f905(x101822,f905(x101822,x101822)),x101821),f86(x101822)),f317(f317(f7(x101821,x101821,a894),a314),x101823))),x101824)),x101825)),x101826),f317(f317(f234(x101822),x101825),f317(f29(x101821),x101826))) % 199.88/201.01 [10185]~P78(x101852)+~P1(f317(f28(x101851),x101856))+~P1(f317(f317(f319(x101851),x101853),x101856))+E(f317(f317(f9(x101851,x101852),f317(f317(f7(x101851,x101852,x101852),f317(f317(f18(x101851,x101852,f905(x101852,x101852)),f317(f317(f8(a894,f905(x101852,f905(x101852,x101852)),x101851),f86(x101852)),f317(f317(f7(x101851,x101851,a894),a314),x101853))),x101854)),x101855)),x101856),f317(f317(f75(x101852),f317(x101854,x101853)),f317(f317(f234(x101852),x101855),f317(f317(f23(a898),f317(f29(x101851),x101856)),f72(a898))))) % 199.88/201.01 [10263]~P1(f317(f28(x102631),x102635))+~P1(f317(f28(x102632),x102633))+P1(f317(f317(f319(x102632),f526(x102636,x102634,x102633,x102632,x102635,x102631)),x102633))+E(f317(f317(f6(x102631,a898),f317(f317(f8(f905(x102632,a894),a898,x102631),f29(x102632)),f317(f317(f8(f905(x102632,a894),f905(x102632,a894),x102631),f252(x102632)),f317(f317(f8(f905(x102632,a894),f905(x102632,a894),x102631),f317(f18(x102632,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102632),a315),f317(f317(f7(x102632,f905(x102632,a894),a894),f319(x102632)),x102633)))),x102634)))),x102635),f317(f317(f75(a898),x102636),f317(f29(x102632),x102633))) % 199.88/201.01 [10264]~P1(f317(f28(x102641),x102645))+~P1(f317(f28(x102642),x102643))+P1(f317(f317(f319(x102642),f527(x102646,x102644,x102643,x102642,x102645,x102641)),x102643))+E(f317(f317(f6(x102641,a898),f317(f317(f8(f905(x102642,a894),a898,x102641),f29(x102642)),f317(f317(f8(f905(x102642,a894),f905(x102642,a894),x102641),f252(x102642)),f317(f317(f8(f905(x102642,a894),f905(x102642,a894),x102641),f317(f18(x102642,a894,a894),f317(f317(f8(a894,f905(a894,a894),x102642),a315),f317(f317(f7(x102642,f905(x102642,a894),a894),f319(x102642)),x102643)))),x102644)))),x102645),f317(f317(f6(x102642,a898),x102646),x102643)) % 199.88/201.01 [10311]~P1(f317(f28(x103112),x103113))+~P1(f317(f28(x103111),x103115))+~E(f317(f29(x103111),f317(f252(x103111),f317(f317(f18(x103111,a894,a894),f317(f317(f8(a894,f905(a894,a894),x103111),a315),f317(f317(f7(x103111,f905(x103111,a894),a894),f319(x103111)),x103115))),f317(f317(f7(x103111,x103112,a894),x103114),f526(x103116,x103114,x103113,x103112,x103115,x103111))))),x103116)+E(f317(f317(f6(x103111,a898),f317(f317(f8(f905(x103112,a894),a898,x103111),f29(x103112)),f317(f317(f8(f905(x103112,a894),f905(x103112,a894),x103111),f252(x103112)),f317(f317(f8(f905(x103112,a894),f905(x103112,a894),x103111),f317(f18(x103112,a894,a894),f317(f317(f8(a894,f905(a894,a894),x103112),a315),f317(f317(f7(x103112,f905(x103112,a894),a894),f319(x103112)),x103113)))),x103114)))),x103115),f317(f317(f75(a898),x103116),f317(f29(x103112),x103113))) % 199.88/201.01 [10313]~P1(f317(f28(x103132),x103133))+~P1(f317(f28(x103131),x103135))+~E(f317(f29(x103131),f317(f252(x103131),f317(f317(f18(x103131,a894,a894),f317(f317(f8(a894,f905(a894,a894),x103131),a315),f317(f317(f7(x103131,f905(x103131,a894),a894),f319(x103131)),x103135))),f317(f317(f7(x103131,x103132,a894),x103134),f527(x103136,x103134,x103133,x103132,x103135,x103131))))),f317(x103136,f527(x103136,x103134,x103133,x103132,x103135,x103131)))+E(f317(f317(f6(x103131,a898),f317(f317(f8(f905(x103132,a894),a898,x103131),f29(x103132)),f317(f317(f8(f905(x103132,a894),f905(x103132,a894),x103131),f252(x103132)),f317(f317(f8(f905(x103132,a894),f905(x103132,a894),x103131),f317(f18(x103132,a894,a894),f317(f317(f8(a894,f905(a894,a894),x103132),a315),f317(f317(f7(x103132,f905(x103132,a894),a894),f319(x103132)),x103133)))),x103134)))),x103135),f317(f317(f6(x103132,a898),x103136),x103133)) % 199.88/201.01 [9935]E(x99351,x99352)+~P16(x99353,x99354,x99355)+~P1(f317(f60(x99353,x99354,x99355,x99356,x99357),x99352))+~P1(f317(f60(x99353,x99354,x99355,x99356,x99357),x99351)) % 199.88/201.01 [9735]P1(f317(x97351,x97352))+~P1(f317(f317(f319(x97357),x97352),f317(x97356,x97354)))+~P1(f317(x97351,f358(x97351,x97356,x97355,x97353,x97357)))+~P1(f317(f317(f319(x97353),x97354),x97355)) % 199.88/201.01 [10174]~P16(x101747,x101746,x101741)+E(f317(f317(x101741,x101742),f846(x101742,x101743,x101744,x101745,x101741,x101746,x101747)),x101743)+~P1(f317(f60(x101747,x101746,x101741,x101745,x101744),x101743))+~P1(f317(f317(f319(x101747),x101742),x101744)) % 199.88/201.01 [10241]~P16(x102411,x102412,x102413)+~P1(f317(f60(x102411,x102412,x102413,x102414,x102415),x102417))+P1(f317(f60(x102411,x102412,x102413,x102414,f317(f317(f23(f905(x102411,a894)),x102415),f317(f317(f299(x102411),x102416),f178(f905(x102411,a894))))),f846(x102416,x102417,x102415,x102414,x102413,x102412,x102411)))+~P1(f317(f317(f319(x102411),x102416),x102415)) % 199.88/201.01 [9377]P25(x93771,x93772,x93773,x93774,x93775)+~P25(x93771,x93772,x93773,x93776,x93777)+~E(f317(f300(x93771,x93772,x93773),x93774),x93775)+~P1(f317(f317(f225(f905(x93771,a894)),x93774),x93776)) % 199.88/201.01 [9627]~P25(x96271,x96272,x96273,x96275,x96277)+~P25(x96271,x96272,x96273,x96274,x96276)+P25(x96271,x96272,x96273,f317(f317(f91(f905(x96271,a894)),x96274),x96275),f317(f317(f91(f905(x96272,a894)),x96276),x96277))+~E(f317(f317(f92(f905(x96272,a894)),x96276),x96277),f178(f905(x96272,a894))) % 199.88/201.01 [9632]~P74(x96321)+~P24(x96325,x96322,x96326,x96327)+~P1(f317(f28(x96325),x96327))+E(f317(f317(f317(f59(x96321,x96322,f75(x96321)),x96323),x96324),f317(f300(x96325,x96322,x96326),x96327)),f317(f317(f317(f59(x96321,x96325,f75(x96321)),f317(f67(x96322,x96321,x96325,x96323),x96326)),x96324),x96327)) % 199.88/201.01 [9758]~E(f317(f317(f299(x97581),x97585),x97586),f317(f317(f299(x97581),x97582),x97583))+~P1(f317(f60(x97581,x97581,x97584,x97582,x97583),x97587))+P1(f317(f317(f319(x97581),x97582),x97583))+P1(f317(f56(x97581,x97584,f317(f317(f299(x97581),x97585),x97586)),x97587)) % 199.88/201.01 [9842]P1(f317(x98421,x98422))+~P1(f317(f317(f319(x98423),x98422),f317(x98424,x98427)))+~P1(f317(f317(f319(x98426),x98427),x98425))+P1(f317(f317(f319(x98423),f358(x98421,x98424,x98425,x98426,x98423)),f317(f317(f34(x98426,f905(x98423,a894)),x98425),x98424))) % 199.88/201.01 [9859]~P24(x98592,x98591,x98595,x98594)+~P24(x98591,x98593,x98596,f317(f300(x98592,x98591,x98595),x98594))+E(f317(f317(f67(x98591,x98592,x98593,f71(x98592,x98591,x98594,x98595)),f71(x98591,x98593,f317(f300(x98592,x98591,x98595),x98594),x98596)),x98597),f317(f71(x98592,x98593,x98594,f317(f67(x98591,x98593,x98592,x98596),x98595)),x98597))+~P1(f317(f317(f319(x98593),x98597),f317(f300(x98591,x98593,x98596),f317(f300(x98592,x98591,x98595),x98594)))) % 199.88/201.01 [9860]~P24(x98602,x98601,x98605,x98604)+~P24(x98601,x98603,x98606,f317(f300(x98602,x98601,x98605),x98604))+E(f317(f317(f67(x98601,x98602,x98603,f85(x98602,x98601,x98604,x98605)),f85(x98601,x98603,f317(f300(x98602,x98601,x98605),x98604),x98606)),x98607),f317(f85(x98602,x98603,x98604,f317(f67(x98601,x98603,x98602,x98606),x98605)),x98607))+~P1(f317(f317(f319(x98603),x98607),f317(f300(x98601,x98603,x98606),f317(f300(x98602,x98601,x98605),x98604)))) % 199.88/201.01 [10175]~P16(x101757,x101756,x101751)+E(f317(f317(x101751,x101752),f518(x101753,x101754,x101752,x101755,x101751,x101756,x101757)),x101753)+P1(f317(f317(f319(x101757),x101752),x101754))+~P1(f317(f60(x101757,x101756,x101751,x101755,f317(f317(f299(x101757),x101752),x101754)),x101753)) % 199.88/201.01 [10240]~P16(x102401,x102404,x102405)+P1(f317(f60(x102401,x102404,x102405,x102406,x102403),f518(x102407,x102403,x102402,x102406,x102405,x102404,x102401)))+P1(f317(f317(f319(x102401),x102402),x102403))+~P1(f317(f60(x102401,x102404,x102405,x102406,f317(f317(f299(x102401),x102402),x102403)),x102407)) % 199.88/201.01 [9917]E(x99171,f2(a1))+~P1(f317(f44(x99173,x99171),f317(f317(f242(a1,a1),x99175),x99177)))+~P1(f317(f44(x99172,x99171),f317(f317(f242(a1,a1),x99174),x99176)))+P1(f317(f44(f317(f317(f74(a1),x99172),x99173),x99171),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f74(a1),x99174),x99175)),f317(f317(f30(a1),f317(f317(f74(a1),x99176),x99177)),x99171))),f40(a1,f317(f317(f74(a1),x99176),x99177),x99171)))) % 199.88/201.01 [9919]~P1(f317(f317(f226(a898),f2(a898)),x99193))+~P1(f317(f43(x99192,x99193),f317(f317(f242(a898,a898),x99195),x99197)))+~P1(f317(f43(x99191,x99193),f317(f317(f242(a898,a898),x99194),x99196)))+P1(f317(f43(f317(f317(f74(a898),x99191),x99192),x99193),f317(f317(f242(a898,a898),f317(f317(f74(a898),f317(f317(f74(a898),x99194),x99195)),f317(f317(f30(a898),f317(f317(f74(a898),x99196),x99197)),x99193))),f40(a898,f317(f317(f74(a898),x99196),x99197),x99193)))) % 199.88/201.01 [10310]~P77(x103102)+~P1(f317(f28(x103103),x103105))+~P1(f317(f28(x103101),x103107))+E(f317(f317(f6(x103101,x103102),f317(f317(f18(x103101,f905(x103103,a894),x103102),f317(f317(f8(f905(x103103,x103102),f905(f905(x103103,a894),x103102),x103101),f6(x103103,x103102)),x103104)),f317(f317(f8(f905(x103103,a894),f905(x103103,a894),x103101),f252(x103103)),f317(f317(f8(f905(x103103,a894),f905(x103103,a894),x103101),f317(f18(x103103,a894,a894),f317(f317(f8(a894,f905(a894,a894),x103103),a315),f317(f317(f7(x103103,f905(x103103,a894),a894),f319(x103103)),x103105)))),x103106)))),x103107),f317(f317(f6(x103103,x103102),f317(f317(f18(x103103,f905(x103101,a894),x103102),f317(f317(f8(f905(x103101,x103102),f905(f905(x103101,a894),x103102),x103103),f6(x103101,x103102)),f317(f7(x103101,x103103,x103102),x103104))),f317(f317(f8(f905(x103101,a894),f905(x103101,a894),x103103),f252(x103101)),f317(f317(f8(f905(x103101,a894),f905(x103101,a894),x103103),f317(f18(x103101,a894,a894),f317(f317(f8(a894,f905(a894,a894),x103101),a315),f317(f317(f7(x103101,f905(x103101,a894),a894),f319(x103101)),x103107)))),f317(f7(x103101,x103103,a894),x103106))))),x103105)) % 199.88/201.01 [10261]~P21(x102618,x102617,x102616,x102615,x102611)+~E(f317(x102612,f833(x102614,x102612,x102613,x102611,x102615,x102616,x102617)),f317(x102614,f833(x102614,x102612,x102613,x102611,x102615,x102616,x102617)))+E(f317(f317(x102611,x102612),x102613),f317(f317(x102611,x102614),x102613))+~P1(f317(f28(x102617),x102613)) % 199.88/201.01 [9794]~P22(x97947,x97946,x97941,x97948,x97942,x97944)+E(f317(f317(x97941,f317(x97942,x97943)),f317(x97944,x97945)),f317(x97944,x97945))+~P1(f317(f28(x97946),x97945))+~P1(f317(f317(f319(x97946),x97943),x97945)) % 199.88/201.01 [9798]~P12(x97986,x97981,x97982,x97988,x97983,x97984)+~P8(x97986,x97987,x97988)+P11(x97981,x97982,x97983,f317(x97984,x97985))+~P1(f317(f317(f319(x97986),x97985),x97987)) % 199.88/201.01 [10283]~P21(x102838,x102835,x102837,x102836,x102831)+E(f317(f317(x102831,x102832),x102833),f317(f317(x102831,x102834),x102833))+~P1(f317(f28(x102835),x102833))+P1(f317(f317(f319(x102835),f833(x102832,x102834,x102833,x102831,x102836,x102837,x102835)),x102833)) % 199.88/201.01 [10360]~P1(f317(f317(x103601,x103606),x103605))+P1(f317(f317(x103601,f823(x103601,x103604,x103605,x103606,x103603,x103602,x103607,x103608)),f826(x103601,x103604,x103605,x103606,x103603,x103602,x103607,x103608)))+P1(f317(f317(x103601,x103602),x103603))+~P1(f317(f317(f319(f904(f904(x103608,x103607),f904(x103608,x103607))),f317(f317(f242(f904(x103608,x103607),f904(x103608,x103607)),f317(f317(f242(x103608,x103607),x103602),x103603)),f317(f317(f242(x103608,x103607),x103606),x103605))),f297(f904(x103608,x103607),x103604))) % 199.88/201.01 [10361]~P1(f317(f317(x103611,x103616),x103615))+P1(f317(f317(x103611,f814(x103611,x103614,x103613,x103612,x103615,x103616,x103617,x103618)),f815(x103611,x103614,x103613,x103612,x103615,x103616,x103617,x103618)))+P1(f317(f317(x103611,x103612),x103613))+~P1(f317(f317(f319(f904(f904(x103618,x103617),f904(x103618,x103617))),f317(f317(f242(f904(x103618,x103617),f904(x103618,x103617)),f317(f317(f242(x103618,x103617),x103616),x103615)),f317(f317(f242(x103618,x103617),x103612),x103613))),f297(f904(x103618,x103617),x103614))) % 199.88/201.01 [10371]~P1(f317(f317(x103711,f824(x103711,x103716,x103715,x103714,x103713,x103712,x103717,x103718)),f825(x103711,x103716,x103715,x103714,x103713,x103712,x103717,x103718)))+P1(f317(f317(x103711,x103712),x103713))+~P1(f317(f317(x103711,x103714),x103715))+~P1(f317(f317(f319(f904(f904(x103718,x103717),f904(x103718,x103717))),f317(f317(f242(f904(x103718,x103717),f904(x103718,x103717)),f317(f317(f242(x103718,x103717),x103712),x103713)),f317(f317(f242(x103718,x103717),x103714),x103715))),f297(f904(x103718,x103717),x103716))) % 199.88/201.01 [10372]~P1(f317(f317(x103721,f816(x103721,x103726,x103723,x103722,x103725,x103724,x103727,x103728)),f817(x103721,x103726,x103723,x103722,x103725,x103724,x103727,x103728)))+P1(f317(f317(x103721,x103722),x103723))+~P1(f317(f317(x103721,x103724),x103725))+~P1(f317(f317(f319(f904(f904(x103728,x103727),f904(x103728,x103727))),f317(f317(f242(f904(x103728,x103727),f904(x103728,x103727)),f317(f317(f242(x103728,x103727),x103724),x103725)),f317(f317(f242(x103728,x103727),x103722),x103723))),f297(f904(x103728,x103727),x103726))) % 199.88/201.01 [10385]~P1(f317(f317(x103851,x103856),x103857))+P1(f317(f317(x103851,x103852),x103853))+P1(f317(f317(f319(f904(f904(x103854,x103855),f904(x103854,x103855))),f317(f317(f242(f904(x103854,x103855),f904(x103854,x103855)),f317(f317(f242(x103854,x103855),x103856),x103857)),f317(f317(f242(x103854,x103855),f814(x103851,x103858,x103853,x103852,x103857,x103856,x103855,x103854)),f815(x103851,x103858,x103853,x103852,x103857,x103856,x103855,x103854)))),f297(f904(x103854,x103855),x103858)))+~P1(f317(f317(f319(f904(f904(x103854,x103855),f904(x103854,x103855))),f317(f317(f242(f904(x103854,x103855),f904(x103854,x103855)),f317(f317(f242(x103854,x103855),x103856),x103857)),f317(f317(f242(x103854,x103855),x103852),x103853))),f297(f904(x103854,x103855),x103858))) % 199.88/201.01 [10387]~P1(f317(f317(x103871,x103878),x103877))+P1(f317(f317(x103871,x103872),x103873))+P1(f317(f317(f319(f904(f904(x103874,x103875),f904(x103874,x103875))),f317(f317(f242(f904(x103874,x103875),f904(x103874,x103875)),f317(f317(f242(x103874,x103875),f823(x103871,x103876,x103877,x103878,x103873,x103872,x103875,x103874)),f826(x103871,x103876,x103877,x103878,x103873,x103872,x103875,x103874))),f317(f317(f242(x103874,x103875),x103878),x103877))),f297(f904(x103874,x103875),x103876)))+~P1(f317(f317(f319(f904(f904(x103874,x103875),f904(x103874,x103875))),f317(f317(f242(f904(x103874,x103875),f904(x103874,x103875)),f317(f317(f242(x103874,x103875),x103872),x103873)),f317(f317(f242(x103874,x103875),x103878),x103877))),f297(f904(x103874,x103875),x103876))) % 199.88/201.01 [9404]~P19(x94047,x94041,x94048,x94043)+~P1(f317(f28(x94047),x94045))+~P1(f317(f28(x94047),x94044))+E(f317(f67(x94041,x94041,x94042,f317(x94043,x94044)),f317(f67(x94041,x94041,x94042,f317(x94043,x94045)),x94046)),f317(f67(x94041,x94041,x94042,f317(x94043,x94045)),f317(f67(x94041,x94041,x94042,f317(x94043,x94044)),x94046))) % 199.88/201.01 [9413]~P33(x94131,x94132,x94133,x94134,x94137)+P33(x94131,x94132,x94133,f317(f317(f149(x94131,x94134),x94135),x94136),f317(f317(f149(x94132,x94137),x94135),x94138))+~P1(f317(f317(x94133,x94136),x94138))+~P1(f317(f317(f226(a898),x94135),f317(f179(f899(x94131)),x94134))) % 199.88/201.01 [9414]~P33(x94141,x94142,x94143,x94144,x94147)+P33(x94141,x94142,x94143,f317(f317(f149(x94141,x94144),x94145),x94146),f317(f317(f149(x94142,x94147),x94145),x94148))+~P1(f317(f317(x94143,x94146),x94148))+~P1(f317(f317(f226(a898),x94145),f317(f179(f899(x94142)),x94147))) % 199.88/201.01 [9493]~P24(x94932,x94932,x94935,x94936)+~P21(x94933,x94932,x94937,x94938,x94931)+~P1(f317(f28(x94932),x94936))+E(f317(f317(x94931,f317(f67(x94932,x94933,x94932,x94934),x94935)),x94936),f317(f317(x94931,x94934),f317(f300(x94932,x94932,x94935),x94936))) % 199.88/201.01 [9759]P25(x97591,x97592,x97593,x97594,x97595)+~P25(x97592,x97596,x97597,x97595,x97598)+~P25(x97591,x97596,f317(f67(x97592,x97596,x97591,x97597),x97593),x97594,x97598)+~P1(f317(f317(f225(f905(x97592,a894)),f317(f300(x97591,x97592,x97593),x97594)),x97595)) % 199.88/201.01 [9796]~P23(x97967,x97962,x97965,x97968,x97966,x97961)+~P1(f317(f28(x97962),x97964))+E(f317(x97961,f317(f317(f299(x97962),x97963),x97964)),f317(f317(x97965,f317(x97966,x97963)),f317(x97961,x97964)))+P1(f317(f317(f319(x97962),x97963),x97964)) % 199.88/201.01 [9807]~P22(x98076,x98075,x98071,x98077,x98078,x98072)+E(f317(f317(x98071,f317(x98072,x98073)),f317(x98072,x98074)),f317(x98072,x98074))+~P1(f317(f28(x98075),x98074))+~P1(f317(f317(f225(f905(x98075,a894)),x98073),x98074)) % 199.88/201.01 [9391]P1(f317(f317(f319(f904(f899(x93911),f899(x93911))),f317(f317(f242(f899(x93911),f899(x93911)),x93912),x93913)),f147(x93911,x93914)))+~E(x93913,f317(f317(f124(x93911),x93915),f317(f317(f141(x93911),x93916),x93917)))+~E(x93912,f317(f317(f124(x93911),x93915),f317(f317(f141(x93911),x93918),x93917)))+~P1(f317(f317(f319(f904(x93911,x93911)),f317(f317(f242(x93911,x93911),x93918),x93916)),x93914)) % 199.88/201.01 [9801]~P22(x98016,x98012,x98015,x98017,x98018,x98011)+~P1(f317(f28(x98012),x98014))+~P1(f317(f28(x98012),x98013))+E(f317(x98011,f317(f317(f91(f905(x98012,a894)),x98013),x98014)),f317(f317(x98015,f317(x98011,x98013)),f317(x98011,x98014))) % 199.88/201.01 [10350]~P24(x103504,x103502,x103505,x103508)+E(f317(f317(f35(x103501,f905(x103502,a894)),x103503),f317(f317(f8(f905(x103504,a894),f905(x103502,a894),x103501),f300(x103504,x103502,x103505)),x103506)),f317(f300(x103504,x103502,x103505),f317(f317(f35(x103501,f905(x103504,a894)),x103503),x103506)))+~P1(f317(f317(f319(x103501),x103507),x103503))+P1(f317(f317(f319(x103501),f473(x103507,x103506,x103503,x103501,x103508,x103505,x103502,x103504)),x103503)) % 199.88/201.01 [10376]~P24(x103764,x103762,x103765,x103767)+E(f317(f317(f35(x103761,f905(x103762,a894)),x103763),f317(f317(f8(f905(x103764,a894),f905(x103762,a894),x103761),f300(x103764,x103762,x103765)),x103766)),f317(f300(x103764,x103762,x103765),f317(f317(f35(x103761,f905(x103764,a894)),x103763),x103766)))+~P1(f317(f317(f319(x103761),x103768),x103763))+~P1(f317(f317(f225(f905(x103764,a894)),f317(x103766,f473(x103768,x103766,x103763,x103761,x103767,x103765,x103762,x103764))),x103767)) % 199.88/201.01 [10388]~P1(f317(f317(x103881,x103888),x103887))+P1(f317(f317(x103881,x103882),x103883))+~P1(f317(f317(f319(f904(f904(x103884,x103885),f904(x103884,x103885))),f317(f317(f242(f904(x103884,x103885),f904(x103884,x103885)),f317(f317(f242(x103884,x103885),x103882),x103883)),f317(f317(f242(x103884,x103885),x103888),x103887))),f297(f904(x103884,x103885),x103886)))+P1(f317(f317(f319(f904(f904(x103884,x103885),f904(x103884,x103885))),f317(f317(f242(f904(x103884,x103885),f904(x103884,x103885)),f317(f317(f242(x103884,x103885),f824(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884)),f825(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884))),f317(f317(f242(x103884,x103885),f823(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884)),f826(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884)))),x103886)) % 199.88/201.01 [10389]~P1(f317(f317(x103891,x103898),x103897))+P1(f317(f317(x103891,x103892),x103893))+~P1(f317(f317(f319(f904(f904(x103894,x103895),f904(x103894,x103895))),f317(f317(f242(f904(x103894,x103895),f904(x103894,x103895)),f317(f317(f242(x103894,x103895),x103898),x103897)),f317(f317(f242(x103894,x103895),x103892),x103893))),f297(f904(x103894,x103895),x103896)))+P1(f317(f317(f319(f904(f904(x103894,x103895),f904(x103894,x103895))),f317(f317(f242(f904(x103894,x103895),f904(x103894,x103895)),f317(f317(f242(x103894,x103895),f814(x103891,x103896,x103893,x103892,x103897,x103898,x103895,x103894)),f815(x103891,x103896,x103893,x103892,x103897,x103898,x103895,x103894))),f317(f317(f242(x103894,x103895),f816(x103891,x103896,x103893,x103892,x103897,x103898,x103895,x103894)),f817(x103891,x103896,x103893,x103892,x103897,x103898,x103895,x103894)))),x103896)) % 199.88/201.01 [9869]~P23(x98697,x98695,x98691,x98698,x98692,x98694)+~P1(f317(f28(x98695),x98696))+~P1(f317(f317(f319(x98695),x98693),x98696))+E(f317(f317(x98691,f317(x98692,x98693)),f317(x98694,f317(f317(f23(f905(x98695,a894)),x98696),f317(f317(f299(x98695),x98693),f178(f905(x98695,a894)))))),f317(x98694,x98696)) % 199.88/201.01 [9877]~P23(x98776,x98773,x98771,x98777,x98778,x98772)+~P1(f317(f28(x98773),x98775))+~P1(f317(f28(x98773),x98774))+E(f317(f317(x98771,f317(x98772,f317(f317(f91(f905(x98773,a894)),x98774),x98775))),f317(x98772,f317(f317(f92(f905(x98773,a894)),x98774),x98775))),f317(f317(x98771,f317(x98772,x98774)),f317(x98772,x98775))) % 199.88/201.01 [9959]P41(x99591,x99592,x99593,x99594,x99595,f317(f317(x99593,x99596),x99597))+~P41(x99591,x99592,x99593,x99594,f317(f317(f23(f905(x99591,a894)),x99595),f317(f317(f299(x99591),x99598),f178(f905(x99591,a894)))),x99599)+~E(f317(f317(x99593,x99596),x99597),f317(f317(x99593,x99598),x99599))+~P1(f317(f317(f319(x99591),x99598),x99595)) % 199.88/201.01 [9901]~P12(x99016,x99017,x99018,x99019,x990110,x99011)+E(f317(f317(x99011,x99012),x99013),f317(f317(x99011,x99014),x99015))+~P1(f317(f317(f319(f904(x99017,x99017)),f317(f317(f242(x99017,x99017),x99013),x99015)),x990110))+~P1(f317(f317(f319(f904(x99016,x99016)),f317(f317(f242(x99016,x99016),x99012),x99014)),x99019)) % 199.88/201.01 [7008]E(x70081,x70082)+~P1(f317(f317(f225(a1),f2(a1)),x70082))+~P1(f317(f317(f225(a1),f2(a1)),x70081))+~P1(f317(f317(f277(a1),x70082),x70081))+~P1(f317(f317(f277(a1),x70081),x70082)) % 199.88/201.01 [9497]~P98(x94972)+E(x94971,f178(f905(x94972,a894)))+~P1(f317(f28(x94972),x94971))+P1(f317(f317(f319(x94972),f13(x94972,x94971)),x94971))+~P1(f317(f317(f319(x94972),f317(f317(f91(x94972),f346(x94971,x94972)),f348(x94971,x94972))),f317(f317(f299(x94972),f346(x94971,x94972)),f317(f317(f299(x94972),f348(x94971,x94972)),f178(f905(x94972,a894)))))) % 199.88/201.01 [9498]~P98(x94982)+E(x94981,f178(f905(x94982,a894)))+~P1(f317(f28(x94982),x94981))+P1(f317(f317(f319(x94982),f10(x94982,x94981)),x94981))+~P1(f317(f317(f319(x94982),f317(f317(f92(x94982),f449(x94981,x94982)),f452(x94981,x94982))),f317(f317(f299(x94982),f449(x94981,x94982)),f317(f317(f299(x94982),f452(x94981,x94982)),f178(f905(x94982,a894)))))) % 199.88/201.01 [9529]~P74(x95292)+E(x95291,f178(f905(x95292,a894)))+~P1(f317(f28(x95292),x95291))+P1(f317(f317(f319(x95292),f317(f57(x95292,f75(x95292)),x95291)),x95291))+~P1(f317(f317(f319(x95292),f317(f317(f75(x95292),f738(x95291,x95292)),f748(x95291,x95292))),f317(f317(f299(x95292),f738(x95291,x95292)),f317(f317(f299(x95292),f748(x95291,x95292)),f178(f905(x95292,a894)))))) % 199.88/201.01 [9534]~P108(x95342)+E(x95341,f178(f905(x95342,a894)))+~P1(f317(f28(x95342),x95341))+P1(f317(f317(f319(x95342),f11(x95342,f229(x95342),x95341)),x95341))+~P1(f317(f317(f319(x95342),f317(f317(f229(x95342),f875(x95341,x95342)),f876(x95341,x95342))),f317(f317(f299(x95342),f875(x95341,x95342)),f317(f317(f299(x95342),f876(x95341,x95342)),f178(f905(x95342,a894)))))) % 199.88/201.01 [9535]~P108(x95352)+E(x95351,f178(f905(x95352,a894)))+~P1(f317(f28(x95352),x95351))+P1(f317(f317(f319(x95352),f12(x95352,f224(x95352),x95351)),x95351))+~P1(f317(f317(f319(x95352),f317(f317(f224(x95352),f333(x95351,x95352)),f334(x95351,x95352))),f317(f317(f299(x95352),f333(x95351,x95352)),f317(f317(f299(x95352),f334(x95351,x95352)),f178(f905(x95352,a894)))))) % 199.88/201.01 [6630]~P88(x66302)+E(x66301,f2(x66302))+~E(f317(f317(f74(x66302),x66303),x66301),f2(x66302))+~P1(f317(f317(f225(x66302),f2(x66302)),x66303))+~P1(f317(f317(f225(x66302),f2(x66302)),x66301)) % 199.88/201.01 [6631]~P88(x66312)+E(x66311,f2(x66312))+~E(f317(f317(f74(x66312),x66311),x66313),f2(x66312))+~P1(f317(f317(f225(x66312),f2(x66312)),x66313))+~P1(f317(f317(f225(x66312),f2(x66312)),x66311)) % 199.88/201.01 [7177]~P108(x71772)+~P13(x71772,x71771)+E(x71771,f103(x71772))+~P1(f317(f317(f319(x71772),x71773),f317(f162(x71772),f685(x71771,x71772))))+P1(f317(f317(f225(x71772),f705(x71771,x71772)),x71773)) % 199.88/201.01 [7346]~P108(x73461)+E(f14(x73461,x73462),x73463)+~P1(f317(f28(x73461),x73462))+~P1(f317(f317(f225(x73461),x73463),f574(x73463,x73462,x73461)))+~P1(f317(f317(f319(x73461),x73463),x73462)) % 199.88/201.01 [7379]~P108(x73791)+~P13(x73791,x73792)+~P13(x73791,x73793)+P13(x73791,f317(f317(f124(x73791),x73792),x73793))+P1(f317(f317(f319(x73791),f691(x73793,x73792,x73791)),f317(f162(x73791),x73792))) % 199.88/201.01 [7380]~P108(x73801)+~P13(x73801,x73802)+~P13(x73801,x73803)+P13(x73801,f317(f317(f124(x73801),x73802),x73803))+P1(f317(f317(f319(x73801),f692(x73803,x73802,x73801)),f317(f162(x73801),x73803))) % 199.88/201.01 [7443]~P108(x74431)+E(f14(x74431,x74432),x74433)+~P1(f317(f28(x74431),x74432))+P1(f317(f317(f319(x74431),f574(x74433,x74432,x74431)),x74432))+~P1(f317(f317(f319(x74431),x74433),x74432)) % 199.88/201.01 [7444]~P108(x74441)+E(f15(x74441,x74442),x74443)+~P1(f317(f28(x74441),x74442))+P1(f317(f317(f319(x74441),f575(x74443,x74442,x74441)),x74442))+~P1(f317(f317(f319(x74441),x74443),x74442)) % 199.88/201.01 [8017]~P108(x80171)+E(f15(x80171,x80172),x80173)+~P1(f317(f28(x80171),x80172))+~P1(f317(f317(f319(x80171),x80173),x80172))+~P1(f317(f317(f225(x80171),f575(x80173,x80172,x80171)),x80173)) % 199.88/201.01 [8335]~P108(x83351)+~P13(x83351,x83352)+~P13(x83351,x83353)+P13(x83351,f317(f317(f124(x83351),x83352),x83353))+~P1(f317(f317(f225(x83351),f691(x83353,x83352,x83351)),f692(x83353,x83352,x83351))) % 199.88/201.01 [9128]~P108(x91282)+E(x91281,f178(f905(x91282,a894)))+~E(f317(f317(f229(x91282),f317(x91283,f345(x91281,x91283,x91282))),f317(x91283,f349(x91281,x91283,x91282))),f317(x91283,f317(f317(f229(x91282),f345(x91281,x91283,x91282)),f349(x91281,x91283,x91282))))+E(f14(x91282,f317(f300(x91282,x91282,x91283),x91281)),f317(x91283,f14(x91282,x91281)))+~P1(f317(f28(x91282),x91281)) % 199.88/201.01 [9129]~P108(x91292)+E(x91291,f178(f905(x91292,a894)))+~E(f317(f317(f224(x91292),f317(x91293,f328(x91291,x91293,x91292))),f317(x91293,f338(x91291,x91293,x91292))),f317(x91293,f317(f317(f224(x91292),f328(x91291,x91293,x91292)),f338(x91291,x91293,x91292))))+E(f15(x91292,f317(f300(x91292,x91292,x91293),x91291)),f317(x91293,f15(x91292,x91291)))+~P1(f317(f28(x91292),x91291)) % 199.88/201.01 [9130]~P98(x91302)+E(x91301,f178(f905(x91302,a894)))+~E(f317(f317(f91(x91302),f317(x91303,f350(x91301,x91303,x91302))),f317(x91303,f351(x91301,x91303,x91302))),f317(x91303,f317(f317(f91(x91302),f350(x91301,x91303,x91302)),f351(x91301,x91303,x91302))))+E(f13(x91302,f317(f300(x91302,x91302,x91303),x91301)),f317(x91303,f13(x91302,x91301)))+~P1(f317(f28(x91302),x91301)) % 199.88/201.01 [9131]~P98(x91312)+E(x91311,f178(f905(x91312,a894)))+~E(f317(f317(f92(x91312),f317(x91313,f448(x91311,x91313,x91312))),f317(x91313,f453(x91311,x91313,x91312))),f317(x91313,f317(f317(f92(x91312),f448(x91311,x91313,x91312)),f453(x91311,x91313,x91312))))+E(f10(x91312,f317(f300(x91312,x91312,x91313),x91311)),f317(x91313,f10(x91312,x91311)))+~P1(f317(f28(x91312),x91311)) % 199.88/201.01 [9200]~P108(x92002)+E(x92001,f178(f905(x92002,a894)))+~E(f317(f317(f229(x92002),f317(x92003,f329(x92001,x92003,x92002))),f317(x92003,f336(x92001,x92003,x92002))),f317(x92003,f317(f317(f229(x92002),f329(x92001,x92003,x92002)),f336(x92001,x92003,x92002))))+E(f11(x92002,f229(x92002),f317(f300(x92002,x92002,x92003),x92001)),f317(x92003,f11(x92002,f229(x92002),x92001)))+~P1(f317(f28(x92002),x92001)) % 199.88/201.01 [9201]~P108(x92012)+E(x92011,f178(f905(x92012,a894)))+~E(f317(f317(f224(x92012),f317(x92013,f330(x92011,x92013,x92012))),f317(x92013,f335(x92011,x92013,x92012))),f317(x92013,f317(f317(f224(x92012),f330(x92011,x92013,x92012)),f335(x92011,x92013,x92012))))+E(f12(x92012,f224(x92012),f317(f300(x92012,x92012,x92013),x92011)),f317(x92013,f12(x92012,f224(x92012),x92011)))+~P1(f317(f28(x92012),x92011)) % 199.88/201.01 [6647]~P74(x66472)+E(x66471,f178(f905(x66472,a894)))+~P1(f317(f28(x66472),x66471))+E(f317(f57(x66472,f75(x66472)),f317(f317(f299(x66472),x66473),x66471)),f317(f317(f75(x66472),x66473),f317(f57(x66472,f75(x66472)),x66471)))+P1(f317(f317(f319(x66472),x66473),x66471)) % 199.88/201.01 [7183]~P108(x71832)+E(f317(f317(f229(x71832),f14(x71832,x71831)),f14(x71832,x71833)),f14(x71832,x71833))+E(x71831,f178(f905(x71832,a894)))+~P1(f317(f28(x71832),x71833))+~P1(f317(f317(f225(f905(x71832,a894)),x71831),x71833)) % 199.88/201.01 [7184]~P108(x71842)+E(f317(f317(f224(x71842),f15(x71842,x71841)),f15(x71842,x71843)),f15(x71842,x71843))+E(x71841,f178(f905(x71842,a894)))+~P1(f317(f28(x71842),x71843))+~P1(f317(f317(f225(f905(x71842,a894)),x71841),x71843)) % 199.88/201.01 [7185]~P98(x71852)+E(f317(f317(f91(x71852),f13(x71852,x71851)),f13(x71852,x71853)),f13(x71852,x71853))+E(x71851,f178(f905(x71852,a894)))+~P1(f317(f28(x71852),x71853))+~P1(f317(f317(f225(f905(x71852,a894)),x71851),x71853)) % 199.88/201.01 [7186]~P98(x71862)+E(f317(f317(f92(x71862),f10(x71862,x71861)),f10(x71862,x71863)),f10(x71862,x71863))+E(x71861,f178(f905(x71862,a894)))+~P1(f317(f28(x71862),x71863))+~P1(f317(f317(f225(f905(x71862,a894)),x71861),x71863)) % 199.88/201.01 [7491]~P108(x74912)+E(x74911,f178(f905(x74912,a894)))+~P1(f317(f28(x74912),x74913))+P1(f317(f317(f225(x74912),f14(x74912,x74913)),f14(x74912,x74911)))+~P1(f317(f317(f225(f905(x74912,a894)),x74911),x74913)) % 199.88/201.01 [7492]~P108(x74922)+E(x74921,f178(f905(x74922,a894)))+~P1(f317(f28(x74922),x74923))+P1(f317(f317(f225(x74922),f15(x74922,x74921)),f15(x74922,x74923)))+~P1(f317(f317(f225(f905(x74922,a894)),x74921),x74923)) % 199.88/201.01 [7546]~P108(x75461)+E(f14(x75461,x75462),x75463)+~P1(f317(f28(x75461),x75462))+~E(f317(f317(f23(f905(x75461,a894)),x75462),f317(f317(f299(x75461),x75463),f178(f905(x75461,a894)))),f178(f905(x75461,a894)))+~P1(f317(f317(f319(x75461),x75463),x75462)) % 199.88/201.01 [7547]~P108(x75471)+E(f15(x75471,x75472),x75473)+~P1(f317(f28(x75471),x75472))+~E(f317(f317(f23(f905(x75471,a894)),x75472),f317(f317(f299(x75471),x75473),f178(f905(x75471,a894)))),f178(f905(x75471,a894)))+~P1(f317(f317(f319(x75471),x75473),x75472)) % 199.88/201.01 [7548]~P98(x75481)+E(f13(x75481,x75482),x75483)+~P1(f317(f28(x75481),x75482))+~E(f317(f317(f23(f905(x75481,a894)),x75482),f317(f317(f299(x75481),x75483),f178(f905(x75481,a894)))),f178(f905(x75481,a894)))+~P1(f317(f317(f319(x75481),x75483),x75482)) % 199.88/201.01 [7549]~P98(x75491)+E(f10(x75491,x75492),x75493)+~P1(f317(f28(x75491),x75492))+~E(f317(f317(f23(f905(x75491,a894)),x75492),f317(f317(f299(x75491),x75493),f178(f905(x75491,a894)))),f178(f905(x75491,a894)))+~P1(f317(f317(f319(x75491),x75493),x75492)) % 199.88/201.01 [7645]~P108(x76451)+E(f11(x76451,f229(x76451),x76452),x76453)+~P1(f317(f28(x76451),x76452))+~E(f317(f317(f23(f905(x76451,a894)),x76452),f317(f317(f299(x76451),x76453),f178(f905(x76451,a894)))),f178(f905(x76451,a894)))+~P1(f317(f317(f319(x76451),x76453),x76452)) % 199.88/201.01 [7646]~P108(x76461)+E(f12(x76461,f224(x76461),x76462),x76463)+~P1(f317(f28(x76461),x76462))+~E(f317(f317(f23(f905(x76461,a894)),x76462),f317(f317(f299(x76461),x76463),f178(f905(x76461,a894)))),f178(f905(x76461,a894)))+~P1(f317(f317(f319(x76461),x76463),x76462)) % 199.88/201.01 [7681]~P108(x76812)+E(x76811,f178(f905(x76812,a894)))+~P1(f317(f28(x76812),x76811))+~P1(f317(f317(f225(x76812),x76813),f869(x76813,x76811,x76812)))+P1(f317(f317(f225(x76812),x76813),f317(f57(x76812,f229(x76812)),x76811))) % 199.88/201.01 [7682]~P104(x76822)+E(x76821,f178(f905(x76822,a894)))+~P1(f317(f28(x76822),x76821))+~P1(f317(f317(f225(x76822),x76823),f430(x76823,x76821,x76822)))+P1(f317(f317(f225(x76822),x76823),f317(f57(x76822,f92(x76822)),x76821))) % 199.88/201.01 [7683]~P108(x76832)+E(x76831,f178(f905(x76832,a894)))+~P1(f317(f28(x76832),x76831))+~P1(f317(f317(f226(x76832),x76833),f870(x76833,x76831,x76832)))+P1(f317(f317(f226(x76832),x76833),f317(f57(x76832,f229(x76832)),x76831))) % 199.88/201.01 [7770]~P108(x77702)+E(x77701,f178(f905(x77702,a894)))+~P1(f317(f28(x77702),x77701))+P1(f317(f317(f319(x77702),f870(x77703,x77701,x77702)),x77701))+P1(f317(f317(f226(x77702),x77703),f317(f57(x77702,f229(x77702)),x77701))) % 199.88/201.01 [7771]~P108(x77712)+E(x77711,f178(f905(x77712,a894)))+~P1(f317(f28(x77712),x77711))+P1(f317(f317(f319(x77712),f869(x77713,x77711,x77712)),x77711))+P1(f317(f317(f225(x77712),x77713),f317(f57(x77712,f229(x77712)),x77711))) % 199.88/201.01 [7772]~P104(x77722)+E(x77721,f178(f905(x77722,a894)))+~P1(f317(f28(x77722),x77721))+P1(f317(f317(f319(x77722),f430(x77723,x77721,x77722)),x77721))+P1(f317(f317(f225(x77722),x77723),f317(f57(x77722,f92(x77722)),x77721))) % 199.88/201.01 [7894]~P108(x78942)+E(x78941,f178(f905(x78942,a894)))+E(f317(f317(f229(x78942),f11(x78942,f229(x78942),x78941)),f11(x78942,f229(x78942),x78943)),f11(x78942,f229(x78942),x78943))+~P1(f317(f28(x78942),x78943))+~P1(f317(f317(f225(f905(x78942,a894)),x78941),x78943)) % 199.88/201.01 [7895]~P108(x78952)+E(x78951,f178(f905(x78952,a894)))+E(f317(f317(f224(x78952),f12(x78952,f224(x78952),x78951)),f12(x78952,f224(x78952),x78953)),f12(x78952,f224(x78952),x78953))+~P1(f317(f28(x78952),x78953))+~P1(f317(f317(f225(f905(x78952,a894)),x78951),x78953)) % 199.88/201.01 [8094]~E(f492(x80941,x80943,x80942),f493(x80941,x80943,x80942))+~E(f317(f29(x80942),f494(x80941,x80943,x80942)),x80941)+E(f317(f317(f75(a898),x80941),f317(f29(f905(x80942,a894)),x80943)),f317(f29(x80942),f31(f905(x80942,a894),x80943)))+~P1(f317(f28(x80942),f31(f905(x80942,a894),x80943)))+~P1(f317(f28(f905(x80942,a894)),x80943)) % 199.88/201.01 [8275]~P108(x82752)+E(x82751,f178(f905(x82752,a894)))+~P1(f317(f28(x82752),x82753))+P1(f317(f317(f225(x82752),f317(f57(x82752,f229(x82752)),x82753)),f317(f57(x82752,f229(x82752)),x82751)))+~P1(f317(f317(f225(f905(x82752,a894)),x82751),x82753)) % 199.88/201.01 [8575]~E(f492(x85751,x85753,x85752),f493(x85751,x85753,x85752))+E(f317(f317(f75(a898),x85751),f317(f29(f905(x85752,a894)),x85753)),f317(f29(x85752),f31(f905(x85752,a894),x85753)))+P1(f317(f317(f319(f905(x85752,a894)),f494(x85751,x85753,x85752)),x85753))+~P1(f317(f28(x85752),f31(f905(x85752,a894),x85753)))+~P1(f317(f28(f905(x85752,a894)),x85753)) % 199.88/201.01 [8601]~E(f317(f29(x86012),f494(x86011,x86013,x86012)),x86011)+E(f317(f317(f75(a898),x86011),f317(f29(f905(x86012,a894)),x86013)),f317(f29(x86012),f31(f905(x86012,a894),x86013)))+P1(f317(f317(f319(f905(x86012,a894)),f493(x86011,x86013,x86012)),x86013))+~P1(f317(f28(x86012),f31(f905(x86012,a894),x86013)))+~P1(f317(f28(f905(x86012,a894)),x86013)) % 199.88/201.01 [8602]~E(f317(f29(x86022),f494(x86021,x86023,x86022)),x86021)+E(f317(f317(f75(a898),x86021),f317(f29(f905(x86022,a894)),x86023)),f317(f29(x86022),f31(f905(x86022,a894),x86023)))+P1(f317(f317(f319(f905(x86022,a894)),f492(x86021,x86023,x86022)),x86023))+~P1(f317(f28(x86022),f31(f905(x86022,a894),x86023)))+~P1(f317(f28(f905(x86022,a894)),x86023)) % 199.88/201.01 [8627]~E(f317(f29(x86272),f494(x86271,x86273,x86272)),x86271)+~E(f317(f317(f92(f905(x86272,a894)),f493(x86271,x86273,x86272)),f492(x86271,x86273,x86272)),f178(f905(x86272,a894)))+E(f317(f317(f75(a898),x86271),f317(f29(f905(x86272,a894)),x86273)),f317(f29(x86272),f31(f905(x86272,a894),x86273)))+~P1(f317(f28(f905(x86272,a894)),x86273))+~P1(f317(f28(x86272),f31(f905(x86272,a894),x86273))) % 199.88/201.01 [8891]E(f317(f317(f75(a898),x88911),f317(f29(f905(x88912,a894)),x88913)),f317(f29(x88912),f31(f905(x88912,a894),x88913)))+P1(f317(f317(f319(f905(x88912,a894)),f494(x88911,x88913,x88912)),x88913))+P1(f317(f317(f319(f905(x88912,a894)),f493(x88911,x88913,x88912)),x88913))+~P1(f317(f28(f905(x88912,a894)),x88913))+~P1(f317(f28(x88912),f31(f905(x88912,a894),x88913))) % 199.88/201.01 [8892]E(f317(f317(f75(a898),x88921),f317(f29(f905(x88922,a894)),x88923)),f317(f29(x88922),f31(f905(x88922,a894),x88923)))+P1(f317(f317(f319(f905(x88922,a894)),f494(x88921,x88923,x88922)),x88923))+P1(f317(f317(f319(f905(x88922,a894)),f492(x88921,x88923,x88922)),x88923))+~P1(f317(f28(f905(x88922,a894)),x88923))+~P1(f317(f28(x88922),f31(f905(x88922,a894),x88923))) % 199.88/201.01 [8918]~E(f317(f317(f92(f905(x89182,a894)),f493(x89181,x89183,x89182)),f492(x89181,x89183,x89182)),f178(f905(x89182,a894)))+E(f317(f317(f75(a898),x89181),f317(f29(f905(x89182,a894)),x89183)),f317(f29(x89182),f31(f905(x89182,a894),x89183)))+~P1(f317(f28(f905(x89182,a894)),x89183))+P1(f317(f317(f319(f905(x89182,a894)),f494(x89181,x89183,x89182)),x89183))+~P1(f317(f28(x89182),f31(f905(x89182,a894),x89183))) % 199.88/201.01 [9175]~P97(x91752)+E(x91751,f178(f905(x91752,a894)))+~E(f317(f317(f75(x91752),f317(x91753,f755(x91751,x91753,x91752))),f317(x91753,f766(x91751,x91753,x91752))),f317(x91753,f317(f317(f75(x91752),f755(x91751,x91753,x91752)),f766(x91751,x91753,x91752))))+~P1(f317(f28(x91752),x91751))+E(f317(f57(x91752,f75(x91752)),f317(f300(x91752,x91752,x91753),x91751)),f317(x91753,f317(f57(x91752,f75(x91752)),x91751))) % 199.88/201.01 [10117]P1(f317(f317(x101171,x101172),x101173))+P1(f317(f317(f226(a1),f889(x101171,x101173,x101172)),f890(x101171,x101173,x101172)))+P1(f317(f317(f225(a1),f890(x101171,x101173,x101172)),f2(a1)))+P1(f317(f317(x101171,f889(x101171,x101173,x101172)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f890(x101171,x101173,x101172))))+~P1(f317(f305(f904(a1,a1),a53),f317(f317(f242(a1,a1),x101172),x101173))) % 199.88/201.01 [10123]P1(f317(f317(x101231,x101232),x101233))+P1(f317(f317(f225(a1),f888(x101231,x101233,x101232)),f2(a1)))+P1(f317(f317(x101231,f887(x101231,x101233,x101232)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f888(x101231,x101233,x101232))))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f887(x101231,x101233,x101232)),f888(x101231,x101233,x101232))))+~P1(f317(f305(f904(a1,a1),a47),f317(f317(f242(a1,a1),x101232),x101233))) % 199.88/201.01 [8066]~P111(x80661)+~P1(f317(f317(f225(x80661),x80662),f72(x80661)))+~P1(f317(f317(f225(x80661),f2(x80661)),x80662))+~P1(f317(f317(f225(x80661),f2(x80661)),x80663))+P1(f317(f317(f225(x80661),f317(f317(f75(x80661),x80662),x80663)),x80663)) % 199.88/201.01 [8067]~P111(x80671)+~P1(f317(f317(f225(x80671),x80673),f72(x80671)))+~P1(f317(f317(f225(x80671),f2(x80671)),x80673))+~P1(f317(f317(f225(x80671),f2(x80671)),x80672))+P1(f317(f317(f225(x80671),f317(f317(f75(x80671),x80672),x80673)),x80672)) % 199.88/201.01 [8421]~P108(x84212)+E(x84211,f178(f905(x84212,a894)))+~P1(f317(f28(x84212),x84211))+P1(f317(f317(f225(x84212),f872(x84213,x84211,x84212)),x84213))+~P1(f317(f317(f225(x84212),f317(f57(x84212,f229(x84212)),x84211)),x84213)) % 199.88/201.01 [8422]~P108(x84222)+E(x84221,f178(f905(x84222,a894)))+~P1(f317(f28(x84222),x84221))+P1(f317(f317(f319(x84222),f873(x84223,x84221,x84222)),x84221))+~P1(f317(f317(f226(x84222),f317(f57(x84222,f229(x84222)),x84221)),x84223)) % 199.88/201.01 [8423]~P108(x84232)+E(x84231,f178(f905(x84232,a894)))+~P1(f317(f28(x84232),x84231))+P1(f317(f317(f319(x84232),f872(x84233,x84231,x84232)),x84231))+~P1(f317(f317(f225(x84232),f317(f57(x84232,f229(x84232)),x84231)),x84233)) % 199.88/201.01 [8424]~P108(x84242)+E(x84241,f178(f905(x84242,a894)))+~P1(f317(f28(x84242),x84241))+P1(f317(f317(f226(x84242),f873(x84243,x84241,x84242)),x84243))+~P1(f317(f317(f226(x84242),f317(f57(x84242,f229(x84242)),x84241)),x84243)) % 199.88/201.01 [8510]~P1(f317(x85101,x85103))+P1(f317(x85101,f405(x85101,x85102)))+P1(f317(x85101,f404(x85101,x85102)))+~P1(f317(f317(f226(a1),f2(a1)),x85102))+P1(f317(x85101,f317(f317(f23(a1),f404(x85101,x85102)),f317(f317(f75(a1),f406(x85101,x85102)),x85102)))) % 199.88/201.01 [8728]~P1(f317(x87281,x87283))+P1(f317(x87281,f404(x87281,x87282)))+~P1(f317(f317(f226(a1),f2(a1)),x87282))+P1(f317(f317(f319(a1),f405(x87281,x87282)),f293(a1,f72(a1),x87282)))+P1(f317(x87281,f317(f317(f23(a1),f404(x87281,x87282)),f317(f317(f75(a1),f406(x87281,x87282)),x87282)))) % 199.88/201.01 [8940]~P1(f317(x89401,x89403))+~P1(f317(x89401,f404(x89401,x89402)))+P1(f317(x89401,f405(x89401,x89402)))+~P1(f317(f317(f226(a1),f2(a1)),x89402))+~P1(f317(x89401,f317(f317(f23(a1),f404(x89401,x89402)),f317(f317(f75(a1),f406(x89401,x89402)),x89402)))) % 199.88/201.01 [9064]~P1(f317(x90641,x90643))+~P1(f317(x90641,f404(x90641,x90642)))+~P1(f317(f317(f226(a1),f2(a1)),x90642))+P1(f317(f317(f319(a1),f405(x90641,x90642)),f293(a1,f72(a1),x90642)))+~P1(f317(x90641,f317(f317(f23(a1),f404(x90641,x90642)),f317(f317(f75(a1),f406(x90641,x90642)),x90642)))) % 199.88/201.01 [8846]~P108(x88461)+~P1(f317(f28(x88461),x88462))+E(f317(f317(f23(f905(x88461,a894)),x88462),f317(f317(f299(x88461),x88463),f178(f905(x88461,a894)))),f178(f905(x88461,a894)))+~P1(f317(f317(f319(x88461),x88463),x88462))+E(f317(f317(f229(x88461),x88463),f14(x88461,f317(f317(f23(f905(x88461,a894)),x88462),f317(f317(f299(x88461),x88463),f178(f905(x88461,a894)))))),f14(x88461,x88462)) % 199.88/201.01 [8847]~P108(x88471)+~P1(f317(f28(x88471),x88472))+E(f317(f317(f23(f905(x88471,a894)),x88472),f317(f317(f299(x88471),x88473),f178(f905(x88471,a894)))),f178(f905(x88471,a894)))+~P1(f317(f317(f319(x88471),x88473),x88472))+E(f317(f317(f224(x88471),x88473),f15(x88471,f317(f317(f23(f905(x88471,a894)),x88472),f317(f317(f299(x88471),x88473),f178(f905(x88471,a894)))))),f15(x88471,x88472)) % 199.88/201.01 [8848]~P98(x88481)+~P1(f317(f28(x88481),x88482))+E(f317(f317(f23(f905(x88481,a894)),x88482),f317(f317(f299(x88481),x88483),f178(f905(x88481,a894)))),f178(f905(x88481,a894)))+~P1(f317(f317(f319(x88481),x88483),x88482))+E(f317(f317(f91(x88481),x88483),f13(x88481,f317(f317(f23(f905(x88481,a894)),x88482),f317(f317(f299(x88481),x88483),f178(f905(x88481,a894)))))),f13(x88481,x88482)) % 199.88/201.01 [8849]~P98(x88491)+~P1(f317(f28(x88491),x88492))+E(f317(f317(f23(f905(x88491,a894)),x88492),f317(f317(f299(x88491),x88493),f178(f905(x88491,a894)))),f178(f905(x88491,a894)))+~P1(f317(f317(f319(x88491),x88493),x88492))+E(f317(f317(f92(x88491),x88493),f10(x88491,f317(f317(f23(f905(x88491,a894)),x88492),f317(f317(f299(x88491),x88493),f178(f905(x88491,a894)))))),f10(x88491,x88492)) % 199.88/201.01 [8911]~P108(x89111)+~P1(f317(f28(x89111),x89112))+E(f317(f317(f23(f905(x89111,a894)),x89112),f317(f317(f299(x89111),x89113),f178(f905(x89111,a894)))),f178(f905(x89111,a894)))+~P1(f317(f317(f319(x89111),x89113),x89112))+E(f317(f317(f229(x89111),x89113),f11(x89111,f229(x89111),f317(f317(f23(f905(x89111,a894)),x89112),f317(f317(f299(x89111),x89113),f178(f905(x89111,a894)))))),f11(x89111,f229(x89111),x89112)) % 199.88/201.01 [8912]~P108(x89121)+~P1(f317(f28(x89121),x89122))+E(f317(f317(f23(f905(x89121,a894)),x89122),f317(f317(f299(x89121),x89123),f178(f905(x89121,a894)))),f178(f905(x89121,a894)))+~P1(f317(f317(f319(x89121),x89123),x89122))+E(f317(f317(f224(x89121),x89123),f12(x89121,f224(x89121),f317(f317(f23(f905(x89121,a894)),x89122),f317(f317(f299(x89121),x89123),f178(f905(x89121,a894)))))),f12(x89121,f224(x89121),x89122)) % 199.88/201.01 [8927]~P108(x89271)+~P1(f317(f28(x89271),x89273))+~P1(f317(f28(x89271),x89272))+E(f317(f317(f92(f905(x89271,a894)),x89272),x89273),f178(f905(x89271,a894)))+E(f317(f317(f229(x89271),f14(x89271,f317(f317(f91(f905(x89271,a894)),x89272),x89273))),f14(x89271,f317(f317(f92(f905(x89271,a894)),x89272),x89273))),f317(f317(f229(x89271),f14(x89271,x89272)),f14(x89271,x89273))) % 199.88/201.01 [8928]~P108(x89281)+~P1(f317(f28(x89281),x89283))+~P1(f317(f28(x89281),x89282))+E(f317(f317(f92(f905(x89281,a894)),x89282),x89283),f178(f905(x89281,a894)))+E(f317(f317(f224(x89281),f15(x89281,f317(f317(f91(f905(x89281,a894)),x89282),x89283))),f15(x89281,f317(f317(f92(f905(x89281,a894)),x89282),x89283))),f317(f317(f224(x89281),f15(x89281,x89282)),f15(x89281,x89283))) % 199.88/201.01 [8929]~P98(x89291)+~P1(f317(f28(x89291),x89293))+~P1(f317(f28(x89291),x89292))+E(f317(f317(f92(f905(x89291,a894)),x89292),x89293),f178(f905(x89291,a894)))+E(f317(f317(f91(x89291),f13(x89291,f317(f317(f91(f905(x89291,a894)),x89292),x89293))),f13(x89291,f317(f317(f92(f905(x89291,a894)),x89292),x89293))),f317(f317(f91(x89291),f13(x89291,x89292)),f13(x89291,x89293))) % 199.88/201.01 [8930]~P98(x89301)+~P1(f317(f28(x89301),x89303))+~P1(f317(f28(x89301),x89302))+E(f317(f317(f92(f905(x89301,a894)),x89302),x89303),f178(f905(x89301,a894)))+E(f317(f317(f92(x89301),f10(x89301,f317(f317(f91(f905(x89301,a894)),x89302),x89303))),f10(x89301,f317(f317(f92(f905(x89301,a894)),x89302),x89303))),f317(f317(f92(x89301),f10(x89301,x89302)),f10(x89301,x89303))) % 199.88/201.01 [9146]~P108(x91461)+~P1(f317(f28(x91461),x91463))+~P1(f317(f28(x91461),x91462))+E(f317(f317(f92(f905(x91461,a894)),x91462),x91463),f178(f905(x91461,a894)))+E(f317(f317(f229(x91461),f11(x91461,f229(x91461),f317(f317(f91(f905(x91461,a894)),x91462),x91463))),f11(x91461,f229(x91461),f317(f317(f92(f905(x91461,a894)),x91462),x91463))),f317(f317(f229(x91461),f11(x91461,f229(x91461),x91462)),f11(x91461,f229(x91461),x91463))) % 199.88/201.01 [9147]~P108(x91471)+~P1(f317(f28(x91471),x91473))+~P1(f317(f28(x91471),x91472))+E(f317(f317(f92(f905(x91471,a894)),x91472),x91473),f178(f905(x91471,a894)))+E(f317(f317(f224(x91471),f12(x91471,f224(x91471),f317(f317(f91(f905(x91471,a894)),x91472),x91473))),f12(x91471,f224(x91471),f317(f317(f92(f905(x91471,a894)),x91472),x91473))),f317(f317(f224(x91471),f12(x91471,f224(x91471),x91472)),f12(x91471,f224(x91471),x91473))) % 199.88/201.01 [9956]~P110(x99563)+E(x99561,x99562)+~P1(f317(f317(f225(x99563),f2(x99563)),x99562))+~P1(f317(f317(f225(x99563),f2(x99563)),x99561))+~E(f317(f317(f234(x99563),x99561),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f234(x99563),x99562),f317(f94(a898),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 199.88/201.01 [5961]~P3(x59612)+E(x59611,f2(x59612))+~E(f317(f317(f30(x59612),x59613),x59611),x59614)+E(x59613,f317(f317(f75(x59612),x59614),x59611))+~P1(f317(f317(f277(x59612),x59611),x59613)) % 199.88/201.01 [5962]~P3(x59622)+E(x59621,f2(x59622))+~E(x59623,f317(f317(f75(x59622),x59624),x59621))+E(f317(f317(f30(x59622),x59623),x59621),x59624)+~P1(f317(f317(f277(x59622),x59621),x59623)) % 199.88/201.01 [6439]E(f412(x64391,x64392,x64393),x64394)+E(f317(x64391,x64394),f2(a898))+~E(f317(f317(f6(x64393,a898),x64391),x64392),f72(a898))+~P1(f317(f28(x64393),x64392))+~P1(f317(f317(f319(x64393),x64394),x64392)) % 199.88/201.01 [6504]E(f415(x65041,x65042,x65043),x65044)+E(f317(x65041,x65044),f2(a898))+~E(f317(f317(f6(x65043,a898),x65041),x65042),f317(a102,f2(a898)))+~P1(f317(f28(x65043),x65042))+~P1(f317(f317(f319(x65043),x65044),x65042)) % 199.88/201.01 [6616]~P108(x66161)+~P5(x66161)+P1(f317(f317(f226(x66161),x66162),f31(x66161,x66163)))+~P1(f317(f317(f226(x66161),x66162),x66164))+~P1(f317(f317(f319(x66161),x66164),x66163)) % 199.88/201.01 [6793]~P108(x67931)+~P5(x67931)+~P1(f317(f317(f226(x67931),x67934),x67933))+P1(f317(f317(f226(x67931),f32(x67931,x67932)),x67933))+~P1(f317(f317(f319(x67931),x67934),x67932)) % 199.88/201.01 [7062]~P110(x70623)+E(x70621,x70622)+~E(f317(f317(f234(x70623),x70621),f317(a102,x70624)),f317(f317(f234(x70623),x70622),f317(a102,x70624)))+~P1(f317(f317(f225(x70623),f2(x70623)),x70622))+~P1(f317(f317(f225(x70623),f2(x70623)),x70621)) % 199.88/201.01 [7274]~E(f417(x72742,x72743,x72741,x72744),x72744)+~E(f317(x72742,x72744),f72(a898))+E(f317(f317(f6(x72741,a898),x72742),x72743),f72(a898))+~P1(f317(f28(x72741),x72743))+~P1(f317(f317(f319(x72741),x72744),x72743)) % 199.88/201.01 [7281]~P112(x72814)+~P129(x72814)+E(f317(x72811,f868(x72811,x72812,x72813,x72814)),f2(x72814))+~E(f317(f317(f9(x72813,x72814),x72811),x72812),f2(x72814))+~P1(f317(f28(x72813),x72812)) % 199.88/201.01 [7369]~E(f416(x73692,x73693,x73691,x73694),x73694)+~E(f317(x73692,x73694),f317(a102,f2(a898)))+E(f317(f317(f6(x73691,a898),x73692),x73693),f317(a102,f2(a898)))+~P1(f317(f28(x73691),x73693))+~P1(f317(f317(f319(x73691),x73694),x73693)) % 199.88/201.01 [8106]~E(f317(x81062,x81064),f72(a898))+~E(f317(x81062,f417(x81062,x81063,x81061,x81064)),f2(a898))+E(f317(f317(f6(x81061,a898),x81062),x81063),f72(a898))+~P1(f317(f28(x81061),x81063))+~P1(f317(f317(f319(x81061),x81064),x81063)) % 199.88/201.01 [8144]~E(f317(x81442,x81444),f317(a102,f2(a898)))+~E(f317(x81442,f416(x81442,x81443,x81441,x81444)),f2(a898))+E(f317(f317(f6(x81441,a898),x81442),x81443),f317(a102,f2(a898)))+~P1(f317(f28(x81441),x81443))+~P1(f317(f317(f319(x81441),x81444),x81443)) % 199.88/201.01 [8230]~P145(x82302)+~P121(x82302)+~P1(f317(x82301,x82304))+~P1(f317(f317(f277(x82302),x82303),f317(f317(f74(x82302),x82304),f2(x82302))))+P1(f317(x82301,f317(f317(f75(x82302),x82303),f834(x82303,x82301,x82302)))) % 199.88/201.01 [8695]~P108(x86951)+~P13(x86951,x86954)+P13(x86951,x86952)+~E(x86952,f317(f317(f141(x86951),x86953),x86954))+~P1(f317(f317(f225(x86951),x86953),f706(x86952,x86951,x86954,x86953))) % 199.88/201.01 [8732]E(x87321,x87322)+E(f317(f317(f23(a1),f387(x87323,x87322,x87324,x87321)),f388(x87323,x87322,x87324,x87321)),x87321)+~E(f317(f317(f74(a1),x87321),x87324),x87322)+~P1(f317(f317(f226(a1),f2(a1)),x87324))+~P1(f317(f317(f319(a1),x87322),x87323)) % 199.88/201.01 [8733]E(x87331,x87332)+E(f317(f317(f74(a1),f392(x87333,x87332,x87334,x87331)),f389(x87333,x87332,x87334,x87331)),x87331)+~E(f317(f317(f23(a1),x87331),x87334),x87332)+~P1(f317(f317(f226(a1),f2(a1)),x87334))+~P1(f317(f317(f319(a1),x87332),x87333)) % 199.88/201.01 [8925]E(f317(x89251,f611(x89252,x89251,x89253,x89254)),x89252)+P1(f317(f317(f225(a898),x89254),f612(x89252,x89251,x89253,x89254)))+~P1(f317(f317(f225(a1),x89252),f317(x89251,x89253)))+~P1(f317(f317(f226(a898),x89254),x89253))+~P1(f317(f317(f225(a1),f317(x89251,x89254)),x89252)) % 199.88/201.01 [8926]~P108(x89261)+~P13(x89261,x89263)+P13(x89261,x89262)+~E(x89262,f317(f317(f141(x89261),x89264),x89263))+P1(f317(f317(f319(x89261),f706(x89262,x89261,x89263,x89264)),f317(f162(x89261),x89263))) % 199.88/201.01 [8944]~P112(x89444)+~P129(x89444)+~E(f317(f317(f9(x89441,x89444),x89442),x89443),f2(x89444))+~P1(f317(f28(x89441),x89443))+P1(f317(f317(f319(x89441),f868(x89442,x89443,x89441,x89444)),x89443)) % 199.88/201.01 [8982]~E(f317(x89822,x89824),f72(a898))+E(f317(f317(f6(x89821,a898),x89822),x89823),f72(a898))+~P1(f317(f28(x89821),x89823))+~P1(f317(f317(f319(x89821),x89824),x89823))+P1(f317(f317(f319(x89821),f417(x89822,x89823,x89821,x89824)),x89823)) % 199.88/201.01 [8994]E(x89941,x89942)+~E(f317(f317(f74(a1),x89942),x89944),x89941)+~P1(f317(f317(f226(a1),f2(a1)),x89944))+~P1(f317(f317(f319(a1),x89941),x89943))+P1(f317(f317(f319(a1),f387(x89943,x89941,x89944,x89942)),x89943)) % 199.88/201.01 [8995]E(x89951,x89952)+~E(f317(f317(f23(a1),x89952),x89954),x89951)+~P1(f317(f317(f226(a1),f2(a1)),x89954))+~P1(f317(f317(f319(a1),x89951),x89953))+P1(f317(f317(f319(a1),f392(x89953,x89951,x89954,x89952)),x89953)) % 199.88/201.01 [8997]~E(f317(x89972,x89974),f317(a102,f2(a898)))+E(f317(f317(f6(x89971,a898),x89972),x89973),f317(a102,f2(a898)))+~P1(f317(f28(x89971),x89973))+~P1(f317(f317(f319(x89971),x89974),x89973))+P1(f317(f317(f319(x89971),f416(x89972,x89973,x89971,x89974)),x89973)) % 199.88/201.01 [9002]P58(x90022,x90023,x90024,x90021)+E(x90021,f178(f905(x90022,a894)))+~P1(f317(f28(x90022),x90024))+~P1(f317(f28(x90022),x90021))+P1(f317(f317(f319(x90022),f776(x90023,x90021,x90024,x90022)),x90024)) % 199.88/201.01 [9003]P58(x90032,x90033,x90034,x90031)+E(x90031,f178(f905(x90032,a894)))+~P1(f317(f28(x90032),x90034))+~P1(f317(f28(x90032),x90031))+P1(f317(f317(f319(x90032),f482(x90031,x90034,x90033,x90032)),x90034)) % 199.88/201.01 [9004]P58(x90042,x90043,x90044,x90041)+E(x90041,f178(f905(x90042,a894)))+~P1(f317(f28(x90042),x90044))+~P1(f317(f28(x90042),x90041))+P1(f317(f317(f319(x90042),f778(x90041,x90044,x90043,x90042)),x90044)) % 199.88/201.01 [9077]E(x90771,x90772)+~E(f317(f317(f74(a1),x90772),x90774),x90771)+~P1(f317(f317(f226(a1),f2(a1)),x90774))+~P1(f317(f317(f319(a1),x90771),x90773))+P1(f317(f317(f319(a1),f388(x90773,x90771,x90774,x90772)),f293(a1,f72(a1),x90774))) % 199.88/201.01 [9078]E(x90781,x90782)+~E(f317(f317(f23(a1),x90782),x90784),x90781)+~P1(f317(f317(f226(a1),f2(a1)),x90784))+~P1(f317(f317(f319(a1),x90781),x90783))+P1(f317(f317(f319(a1),f389(x90783,x90781,x90784,x90782)),f293(a1,f72(a1),x90784))) % 199.88/201.01 [9152]P1(f317(f317(f225(a898),x91521),f611(x91522,x91523,x91524,x91521)))+~P1(f317(f317(f225(a1),x91522),f317(x91523,x91524)))+P1(f317(f317(f225(a898),x91521),f612(x91522,x91523,x91524,x91521)))+~P1(f317(f317(f226(a898),x91521),x91524))+~P1(f317(f317(f225(a1),f317(x91523,x91521)),x91522)) % 199.88/201.01 [9267]E(f317(x92671,f611(x92672,x92671,x92673,x92674)),x92672)+~P1(f317(f317(f225(a1),x92672),f317(x92671,x92673)))+P1(f317(f317(f226(a898),f612(x92672,x92671,x92673,x92674)),x92673))+~P1(f317(f317(f226(a898),x92674),x92673))+~P1(f317(f317(f225(a1),f317(x92671,x92674)),x92672)) % 199.88/201.01 [9383]~P1(f317(f317(f277(a898),x93834),x93831))+~P1(f317(f317(f277(a898),x93834),x93833))+~P1(f317(f317(f277(a898),x93832),x93831))+P1(f317(f317(f277(a898),x93831),x93832))+P1(f317(f317(f226(f905(a898,a894)),f280(a898,f277(a898),x93833,x93832)),f280(a898,f277(a898),x93834,x93831))) % 199.88/201.01 [9384]~P1(f317(f317(f277(a898),x93842),x93841))+~P1(f317(f317(f277(a898),x93843),x93844))+~P1(f317(f317(f277(a898),x93842),x93844))+P1(f317(f317(f277(a898),x93841),x93842))+P1(f317(f317(f226(f905(a898,a894)),f280(a898,f277(a898),x93841,x93843)),f280(a898,f277(a898),x93842,x93844))) % 199.88/201.01 [9401]~P1(f317(f317(f225(a1),x94012),f317(x94013,x94014)))+P1(f317(f317(f225(a898),x94011),f612(x94012,x94013,x94014,x94011)))+P1(f317(f317(f225(a898),f611(x94012,x94013,x94014,x94011)),x94014))+~P1(f317(f317(f226(a898),x94011),x94014))+~P1(f317(f317(f225(a1),f317(x94013,x94011)),x94012)) % 199.88/201.01 [9402]~P1(f317(f317(f225(a1),x94022),f317(x94023,x94024)))+P1(f317(f317(f225(a898),x94021),f611(x94022,x94023,x94024,x94021)))+P1(f317(f317(f226(a898),f612(x94022,x94023,x94024,x94021)),x94024))+~P1(f317(f317(f226(a898),x94021),x94024))+~P1(f317(f317(f225(a1),f317(x94023,x94021)),x94022)) % 199.88/201.01 [9510]~P1(f317(f317(f225(a1),x95101),f317(x95102,x95103)))+P1(f317(f317(f226(a898),f612(x95101,x95102,x95103,x95104)),x95103))+~P1(f317(f317(f226(a898),x95104),x95103))+~P1(f317(f317(f225(a1),f317(x95102,x95104)),x95101))+P1(f317(f317(f225(a898),f611(x95101,x95102,x95103,x95104)),x95103)) % 199.88/201.01 [9604]E(x96041,f178(f905(x96042,a894)))+~P1(f317(f28(x96042),x96044))+~P1(f317(f28(x96042),x96041))+P1(f317(f317(f319(f904(f905(x96042,a894),f905(x96042,a894))),f317(f317(f242(f905(x96042,a894),f905(x96042,a894)),x96044),x96041)),f308(x96042,x96043)))+P1(f317(f317(f319(x96042),f484(x96043,x96041,x96044,x96042)),x96044)) % 199.88/201.01 [9605]E(x96051,f178(f905(x96052,a894)))+~P1(f317(f28(x96052),x96054))+~P1(f317(f28(x96052),x96051))+P1(f317(f317(f319(f904(f905(x96052,a894),f905(x96052,a894))),f317(f317(f242(f905(x96052,a894),f905(x96052,a894)),x96054),x96051)),f308(x96052,x96053)))+P1(f317(f317(f319(x96052),f570(x96053,x96051,x96054,x96052)),x96054)) % 199.88/201.01 [10278]E(f317(x102781,f611(x102782,x102781,x102783,x102784)),x102782)+~P1(f317(f317(f225(a1),x102782),f317(x102781,x102783)))+~P1(f317(f317(f225(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102781,f317(f317(f74(a898),f612(x102782,x102781,x102783,x102784)),f72(a898)))),f317(x102781,f612(x102782,x102781,x102783,x102784))))),f72(a1)))+~P1(f317(f317(f226(a898),x102784),x102783))+~P1(f317(f317(f225(a1),f317(x102781,x102784)),x102782)) % 199.88/201.01 [10279]~P1(f317(f317(f225(a1),x102792),f317(x102793,x102794)))+P1(f317(f317(f225(a898),x102791),f611(x102792,x102793,x102794,x102791)))+~P1(f317(f317(f225(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102793,f317(f317(f74(a898),f612(x102792,x102793,x102794,x102791)),f72(a898)))),f317(x102793,f612(x102792,x102793,x102794,x102791))))),f72(a1)))+~P1(f317(f317(f226(a898),x102791),x102794))+~P1(f317(f317(f225(a1),f317(x102793,x102791)),x102792)) % 199.88/201.01 [10280]~P1(f317(f317(f225(a1),x102801),f317(x102802,x102803)))+~P1(f317(f317(f225(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102802,f317(f317(f74(a898),f612(x102801,x102802,x102803,x102804)),f72(a898)))),f317(x102802,f612(x102801,x102802,x102803,x102804))))),f72(a1)))+~P1(f317(f317(f226(a898),x102804),x102803))+~P1(f317(f317(f225(a1),f317(x102802,x102804)),x102801))+P1(f317(f317(f225(a898),f611(x102801,x102802,x102803,x102804)),x102803)) % 199.88/201.01 [7332]~P63(x73321)+P1(f317(f317(f226(x73321),x73322),f2(x73321)))+~P1(f317(f317(f225(x73321),x73323),f2(x73321)))+P1(f317(f317(f226(x73321),f2(x73321)),x73322))+P1(f317(f317(f225(x73321),x73323),f317(f317(f281(x73321),x73324),x73322))) % 199.88/201.01 [7333]~P63(x73331)+P1(f317(f317(f226(x73331),x73332),f2(x73331)))+~P1(f317(f317(f226(x73331),x73333),f2(x73331)))+P1(f317(f317(f226(x73331),f2(x73331)),x73332))+P1(f317(f317(f226(x73331),x73333),f317(f317(f281(x73331),x73334),x73332))) % 199.88/201.01 [7582]~P63(x75821)+P1(f317(f317(f225(x75821),x75822),f2(x75821)))+P1(f317(f317(f226(x75821),x75823),f2(x75821)))+P1(f317(f317(f226(x75821),f2(x75821)),x75823))+~P1(f317(f317(f225(x75821),x75822),f317(f317(f281(x75821),x75824),x75823))) % 199.88/201.01 [7583]~P63(x75831)+P1(f317(f317(f226(x75831),x75832),f2(x75831)))+P1(f317(f317(f226(x75831),x75833),f2(x75831)))+P1(f317(f317(f226(x75831),f2(x75831)),x75833))+~P1(f317(f317(f226(x75831),x75832),f317(f317(f281(x75831),x75834),x75833))) % 199.88/201.01 [7702]E(x77021,x77022)+~E(f317(f317(f154(x77023),x77024),x77021),f317(f317(f154(x77023),x77024),x77022))+~P1(f317(f127(x77023),x77024))+~P1(f317(f317(f226(a898),x77022),f317(f179(f899(x77023)),x77024)))+~P1(f317(f317(f226(a898),x77021),f317(f179(f899(x77023)),x77024))) % 199.88/201.01 [8068]~P63(x80681)+~P1(f317(f317(f225(x80681),x80683),f2(x80681)))+P1(f317(f317(f226(x80681),f2(x80681)),x80682))+~P1(f317(f317(f225(x80681),x80684),f317(f317(f75(x80681),x80683),x80682)))+P1(f317(f317(f225(x80681),x80683),f317(f317(f281(x80681),x80684),x80682))) % 199.88/201.01 [8069]~P63(x80691)+~P1(f317(f317(f226(x80691),x80693),f2(x80691)))+P1(f317(f317(f226(x80691),f2(x80691)),x80692))+~P1(f317(f317(f226(x80691),x80694),f317(f317(f75(x80691),x80693),x80692)))+P1(f317(f317(f226(x80691),x80693),f317(f317(f281(x80691),x80694),x80692))) % 199.88/201.01 [8070]~P63(x80701)+~P1(f317(f317(f226(x80701),x80702),f2(x80701)))+P1(f317(f317(f226(x80701),f2(x80701)),x80702))+~P1(f317(f317(f225(x80701),x80704),f317(f317(f75(x80701),x80703),x80702)))+P1(f317(f317(f225(x80701),x80703),f317(f317(f281(x80701),x80704),x80702))) % 199.88/201.01 [8071]~P63(x80711)+~P1(f317(f317(f226(x80711),x80712),f2(x80711)))+P1(f317(f317(f226(x80711),f2(x80711)),x80712))+~P1(f317(f317(f225(x80711),x80714),f317(f317(f281(x80711),x80713),x80712)))+P1(f317(f317(f225(x80711),x80713),f317(f317(f75(x80711),x80714),x80712))) % 199.88/201.01 [8072]~P63(x80721)+~P1(f317(f317(f226(x80721),x80722),f2(x80721)))+P1(f317(f317(f226(x80721),f2(x80721)),x80722))+~P1(f317(f317(f226(x80721),x80724),f317(f317(f75(x80721),x80723),x80722)))+P1(f317(f317(f226(x80721),x80723),f317(f317(f281(x80721),x80724),x80722))) % 199.88/201.01 [8073]~P63(x80731)+~P1(f317(f317(f226(x80731),x80732),f2(x80731)))+P1(f317(f317(f226(x80731),f2(x80731)),x80732))+~P1(f317(f317(f226(x80731),x80734),f317(f317(f281(x80731),x80733),x80732)))+P1(f317(f317(f226(x80731),x80733),f317(f317(f75(x80731),x80734),x80732))) % 199.88/201.01 [8198]~P3(x81981)+~P1(f317(f317(f277(x81981),x81983),x81984))+~P1(f317(f317(f277(x81981),x81983),x81982))+~P1(f317(f317(f277(x81981),x81982),x81984))+P1(f317(f317(f277(x81981),f317(f317(f30(x81981),x81982),x81983)),f317(f317(f30(x81981),x81984),x81983))) % 199.88/201.01 [8213]~P108(x82131)+~P13(x82131,x82132)+~P1(f317(f317(f225(a898),x82133),x82134))+P1(f317(f317(f225(x82131),f317(f317(f154(x82131),x82132),x82133)),f317(f317(f154(x82131),x82132),x82134)))+~P1(f317(f317(f226(a898),x82134),f317(f179(f899(x82131)),x82132))) % 199.88/201.01 [8266]~P110(x82661)+~P1(f317(f317(f225(x82661),x82662),f72(x82661)))+~P1(f317(f317(f225(x82661),f2(x82661)),x82662))+~P1(f317(f317(f225(a898),x82664),x82663))+P1(f317(f317(f225(x82661),f317(f317(f234(x82661),x82662),x82663)),f317(f317(f234(x82661),x82662),x82664))) % 199.88/201.01 [8267]~P110(x82671)+~P1(f317(f317(f226(x82671),x82672),f72(x82671)))+~P1(f317(f317(f226(x82671),f2(x82671)),x82672))+~P1(f317(f317(f226(a898),x82674),x82673))+P1(f317(f317(f226(x82671),f317(f317(f234(x82671),x82672),x82673)),f317(f317(f234(x82671),x82672),x82674))) % 199.88/201.01 [8268]~P110(x82681)+~P1(f317(f317(f225(x82681),f2(x82681)),x82682))+~P1(f317(f317(f226(a898),f2(a898)),x82683))+~P1(f317(f317(f226(x82681),x82682),x82684))+P1(f317(f317(f226(x82681),f317(f317(f234(x82681),x82682),x82683)),f317(f317(f234(x82681),x82684),x82683))) % 199.88/201.01 [8286]~P108(x82861)+~P13(x82861,f317(f158(x82861),x82862))+~P1(f317(f317(f225(a898),x82864),x82863))+P1(f317(f317(f225(x82861),f317(f317(f154(x82861),x82862),x82863)),f317(f317(f154(x82861),x82862),x82864)))+~P1(f317(f317(f226(a898),x82863),f317(f179(f899(x82861)),x82862))) % 199.88/201.01 [8517]~P3(x85171)+P1(f317(f317(f277(x85171),x85172),x85173))+~P1(f317(f317(f277(x85171),x85174),x85173))+~P1(f317(f317(f277(x85171),x85174),x85172))+~P1(f317(f317(f277(x85171),f317(f317(f30(x85171),x85172),x85174)),f317(f317(f30(x85171),x85173),x85174))) % 199.88/201.01 [8532]~P63(x85321)+~P1(f317(f317(f225(x85321),x85322),f2(x85321)))+~P1(f317(f317(f225(x85321),x85323),x85324))+~P1(f317(f317(f226(x85321),f2(x85321)),f317(f317(f75(x85321),x85323),x85324)))+P1(f317(f317(f225(x85321),f317(f317(f281(x85321),x85322),x85323)),f317(f317(f281(x85321),x85322),x85324))) % 199.88/201.01 [8533]~P64(x85331)+~P1(f317(f317(f226(x85331),x85332),f2(x85331)))+~P1(f317(f317(f226(x85331),x85333),x85334))+~P1(f317(f317(f226(x85331),f2(x85331)),f317(f317(f75(x85331),x85333),x85334)))+P1(f317(f317(f226(x85331),f317(f317(f281(x85331),x85332),x85333)),f317(f317(f281(x85331),x85332),x85334))) % 199.88/201.01 [8542]~P64(x85421)+~P1(f317(f317(f225(x85421),x85424),x85423))+~P1(f317(f317(f225(x85421),f2(x85421)),x85422))+~P1(f317(f317(f226(x85421),f2(x85421)),f317(f317(f75(x85421),x85423),x85424)))+P1(f317(f317(f225(x85421),f317(f317(f281(x85421),x85422),x85423)),f317(f317(f281(x85421),x85422),x85424))) % 199.88/201.01 [8543]~P64(x85431)+~P1(f317(f317(f226(x85431),x85434),x85433))+~P1(f317(f317(f226(x85431),f2(x85431)),x85432))+~P1(f317(f317(f226(x85431),f2(x85431)),f317(f317(f75(x85431),x85433),x85434)))+P1(f317(f317(f226(x85431),f317(f317(f281(x85431),x85432),x85433)),f317(f317(f281(x85431),x85432),x85434))) % 199.88/201.01 [8643]P1(f317(x86431,x86432))+~P1(f317(f28(x86434),x86432))+P1(f317(x86431,f886(x86431,x86433,x86432,x86434)))+~P1(f317(x86431,f178(f905(x86434,a894))))+~P1(f317(f317(f225(f905(x86434,a894)),x86432),x86433)) % 199.88/201.01 [8652]P1(f317(x86521,x86522))+P1(f317(f28(x86523),f886(x86521,x86524,x86522,x86523)))+~P1(f317(f28(x86523),x86522))+~P1(f317(x86521,f178(f905(x86523,a894))))+~P1(f317(f317(f225(f905(x86523,a894)),x86522),x86524)) % 199.88/201.01 [8920]E(f317(f317(f74(a1),f393(x89201,x89202,x89203,x89204)),f394(x89201,x89202,x89203,x89204)),x89204)+~P1(f317(f317(f226(a1),f2(a1)),x89203))+~P1(f317(f317(f226(a1),x89202),x89204))+~P1(f317(f317(f319(a1),x89202),x89201))+P1(f317(f317(f226(a1),x89202),f317(f317(f23(a1),x89204),x89203))) % 199.88/201.01 [9134]~P1(f317(f317(f226(a1),f2(a1)),x91343))+~P1(f317(f317(f226(a1),x91342),x91344))+~P1(f317(f317(f319(a1),x91342),x91341))+P1(f317(f317(f319(a1),f393(x91341,x91342,x91343,x91344)),x91341))+P1(f317(f317(f226(a1),x91342),f317(f317(f23(a1),x91344),x91343))) % 199.88/201.01 [9145]P1(f317(x91451,x91452))+~P1(f317(f28(x91453),x91452))+P1(f317(f317(f319(x91453),f884(x91451,x91454,x91452,x91453)),x91454))+~P1(f317(x91451,f178(f905(x91453,a894))))+~P1(f317(f317(f225(f905(x91453,a894)),x91452),x91454)) % 199.88/201.01 [9162]E(f317(f317(f74(a1),f383(x91621,x91622,x91623,x91624)),f384(x91621,x91622,x91623,x91624)),x91624)+~P1(f317(f317(f226(a1),f2(a1)),x91623))+~P1(f317(f317(f225(a1),x91622),x91624))+P1(f317(f317(f225(a1),x91622),f317(f317(f23(a1),x91624),x91623)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x91622),f72(a1))),x91621)) % 199.88/201.01 [9217]~P1(f317(f317(f226(a1),f2(a1)),x92173))+~P1(f317(f317(f226(a1),x92171),x92172))+~P1(f317(f317(f319(a1),x92171),x92174))+P1(f317(f317(f319(a1),f394(x92174,x92171,x92173,x92172)),f293(a1,f72(a1),x92173)))+P1(f317(f317(f226(a1),x92171),f317(f317(f23(a1),x92172),x92173))) % 199.88/201.01 [9243]~P77(x92432)+~E(f758(x92433,x92434,x92431,x92432),f756(x92433,x92434,x92431,x92432))+~P1(f317(f28(x92431),f757(x92433,x92434,x92431,x92432)))+E(f317(f317(f6(f905(x92431,a894),x92432),f317(f6(x92431,x92432),x92433)),x92434),f317(f317(f6(x92431,x92432),x92433),f31(f905(x92431,a894),x92434)))+~P1(f317(f28(f905(x92431,a894)),x92434)) % 199.88/201.01 [9247]~P77(x92472)+~E(f317(x92473,f759(x92473,x92474,x92471,x92472)),f2(x92472))+~P1(f317(f28(x92471),f757(x92473,x92474,x92471,x92472)))+E(f317(f317(f6(f905(x92471,a894),x92472),f317(f6(x92471,x92472),x92473)),x92474),f317(f317(f6(x92471,x92472),x92473),f31(f905(x92471,a894),x92474)))+~P1(f317(f28(f905(x92471,a894)),x92474)) % 199.88/201.01 [9311]~P1(f317(f317(f226(a1),f2(a1)),x93113))+~P1(f317(f317(f225(a1),x93112),x93114))+P1(f317(f317(f319(a1),f383(x93111,x93112,x93113,x93114)),x93111))+P1(f317(f317(f225(a1),x93112),f317(f317(f23(a1),x93114),x93113)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x93112),f72(a1))),x93111)) % 199.88/201.01 [9357]~P1(f317(f317(f226(a1),f2(a1)),x93573))+~P1(f317(f317(f225(a1),x93571),x93572))+P1(f317(f317(f319(a1),f384(x93574,x93571,x93573,x93572)),f293(a1,f72(a1),x93573)))+P1(f317(f317(f225(a1),x93571),f317(f317(f23(a1),x93572),x93573)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x93571),f72(a1))),x93574)) % 199.88/201.01 [9379]~P77(x93792)+~E(f758(x93793,x93794,x93791,x93792),f756(x93793,x93794,x93791,x93792))+E(f317(f317(f6(f905(x93791,a894),x93792),f317(f6(x93791,x93792),x93793)),x93794),f317(f317(f6(x93791,x93792),x93793),f31(f905(x93791,a894),x93794)))+P1(f317(f317(f319(f905(x93791,a894)),f757(x93793,x93794,x93791,x93792)),x93794))+~P1(f317(f28(f905(x93791,a894)),x93794)) % 199.88/201.01 [9386]~P77(x93862)+~E(f317(x93863,f759(x93863,x93864,x93861,x93862)),f2(x93862))+E(f317(f317(f6(f905(x93861,a894),x93862),f317(f6(x93861,x93862),x93863)),x93864),f317(f317(f6(x93861,x93862),x93863),f31(f905(x93861,a894),x93864)))+P1(f317(f317(f319(f905(x93861,a894)),f757(x93863,x93864,x93861,x93862)),x93864))+~P1(f317(f28(f905(x93861,a894)),x93864)) % 199.88/201.01 [9487]~P77(x94872)+~P1(f317(f28(x94871),f757(x94873,x94874,x94871,x94872)))+E(f317(f317(f6(f905(x94871,a894),x94872),f317(f6(x94871,x94872),x94873)),x94874),f317(f317(f6(x94871,x94872),x94873),f31(f905(x94871,a894),x94874)))+P1(f317(f317(f319(f905(x94871,a894)),f756(x94873,x94874,x94871,x94872)),x94874))+~P1(f317(f28(f905(x94871,a894)),x94874)) % 199.88/201.01 [9488]~P77(x94882)+~P1(f317(f28(x94881),f757(x94883,x94884,x94881,x94882)))+E(f317(f317(f6(f905(x94881,a894),x94882),f317(f6(x94881,x94882),x94883)),x94884),f317(f317(f6(x94881,x94882),x94883),f31(f905(x94881,a894),x94884)))+P1(f317(f317(f319(f905(x94881,a894)),f758(x94883,x94884,x94881,x94882)),x94884))+~P1(f317(f28(f905(x94881,a894)),x94884)) % 199.88/201.01 [9568]~P77(x95682)+E(f317(f317(f6(f905(x95681,a894),x95682),f317(f6(x95681,x95682),x95683)),x95684),f317(f317(f6(x95681,x95682),x95683),f31(f905(x95681,a894),x95684)))+P1(f317(f317(f319(f905(x95681,a894)),f757(x95683,x95684,x95681,x95682)),x95684))+P1(f317(f317(f319(f905(x95681,a894)),f756(x95683,x95684,x95681,x95682)),x95684))+~P1(f317(f28(f905(x95681,a894)),x95684)) % 199.88/201.01 [9569]~P77(x95692)+E(f317(f317(f6(f905(x95691,a894),x95692),f317(f6(x95691,x95692),x95693)),x95694),f317(f317(f6(x95691,x95692),x95693),f31(f905(x95691,a894),x95694)))+P1(f317(f317(f319(f905(x95691,a894)),f757(x95693,x95694,x95691,x95692)),x95694))+P1(f317(f317(f319(f905(x95691,a894)),f758(x95693,x95694,x95691,x95692)),x95694))+~P1(f317(f28(f905(x95691,a894)),x95694)) % 199.88/201.01 [9590]~P77(x95902)+P1(f317(f317(f319(x95901),f759(x95903,x95904,x95901,x95902)),f756(x95903,x95904,x95901,x95902)))+~P1(f317(f28(x95901),f757(x95903,x95904,x95901,x95902)))+E(f317(f317(f6(f905(x95901,a894),x95902),f317(f6(x95901,x95902),x95903)),x95904),f317(f317(f6(x95901,x95902),x95903),f31(f905(x95901,a894),x95904)))+~P1(f317(f28(f905(x95901,a894)),x95904)) % 199.88/201.01 [9591]~P77(x95912)+P1(f317(f317(f319(x95911),f759(x95913,x95914,x95911,x95912)),f758(x95913,x95914,x95911,x95912)))+~P1(f317(f28(x95911),f757(x95913,x95914,x95911,x95912)))+E(f317(f317(f6(f905(x95911,a894),x95912),f317(f6(x95911,x95912),x95913)),x95914),f317(f317(f6(x95911,x95912),x95913),f31(f905(x95911,a894),x95914)))+~P1(f317(f28(f905(x95911,a894)),x95914)) % 199.88/201.01 [9608]P1(f317(x96081,x96082))+~P1(f317(f317(f319(x96083),f884(x96081,x96084,x96082,x96083)),f886(x96081,x96084,x96082,x96083)))+~P1(f317(f28(x96083),x96082))+~P1(f317(x96081,f178(f905(x96083,a894))))+~P1(f317(f317(f225(f905(x96083,a894)),x96082),x96084)) % 199.88/201.01 [9645]~P77(x96452)+P1(f317(f317(f319(x96451),f759(x96453,x96454,x96451,x96452)),f756(x96453,x96454,x96451,x96452)))+E(f317(f317(f6(f905(x96451,a894),x96452),f317(f6(x96451,x96452),x96453)),x96454),f317(f317(f6(x96451,x96452),x96453),f31(f905(x96451,a894),x96454)))+P1(f317(f317(f319(f905(x96451,a894)),f757(x96453,x96454,x96451,x96452)),x96454))+~P1(f317(f28(f905(x96451,a894)),x96454)) % 199.88/201.01 [9646]~P77(x96462)+P1(f317(f317(f319(x96461),f759(x96463,x96464,x96461,x96462)),f758(x96463,x96464,x96461,x96462)))+E(f317(f317(f6(f905(x96461,a894),x96462),f317(f6(x96461,x96462),x96463)),x96464),f317(f317(f6(x96461,x96462),x96463),f31(f905(x96461,a894),x96464)))+P1(f317(f317(f319(f905(x96461,a894)),f757(x96463,x96464,x96461,x96462)),x96464))+~P1(f317(f28(f905(x96461,a894)),x96464)) % 199.88/201.01 [9821]P1(f317(x98211,x98212))+~P1(f317(f28(x98213),x98212))+~P1(f317(x98211,f317(f317(f299(x98213),f884(x98211,x98214,x98212,x98213)),f886(x98211,x98214,x98212,x98213))))+~P1(f317(x98211,f178(f905(x98213,a894))))+~P1(f317(f317(f225(f905(x98213,a894)),x98212),x98214)) % 199.88/201.01 [10152]~P109(x101523)+~P48(a898,x101523,f317(f317(f18(a898,f905(a898,a894),f905(a898,a894)),f317(f317(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f317(f317(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f317(f8(a894,f905(a894,a894),a898),a315)),f277(a898)))),f317(f317(f8(f905(a898,a894),f905(a898,a894),a898),f317(f8(a894,a894,a898),a312)),f317(f7(a898,a898,a894),f277(a898)))),x101524)+P1(f317(f317(f226(x101523),f317(x101524,x101522)),f317(x101524,x101521)))+~P1(f317(f317(f277(a898),x101522),x101521))+P1(f317(f317(f277(a898),x101521),x101522)) % 199.88/201.01 [7838]~P63(x78381)+P1(f317(f317(f226(x78381),x78382),f2(x78381)))+~P1(f317(f317(f225(x78381),f2(x78381)),x78384))+P1(f317(f317(f226(x78381),f2(x78381)),x78382))+P1(f317(f317(f225(x78381),f317(f317(f281(x78381),x78383),x78382)),x78384)) % 199.88/201.01 [7839]~P63(x78391)+P1(f317(f317(f226(x78391),x78392),f2(x78391)))+P1(f317(f317(f226(x78391),f2(x78391)),x78392))+~P1(f317(f317(f226(x78391),f2(x78391)),x78394))+P1(f317(f317(f226(x78391),f317(f317(f281(x78391),x78393),x78392)),x78394)) % 199.88/201.01 [8119]~P1(f317(f317(f225(a1),x81194),f2(a1)))+~E(x81192,f317(f317(f74(a1),f317(f317(f75(a1),x81191),x81193)),x81194))+P1(f317(f317(f226(a1),f2(a1)),x81191))+~P1(f317(f317(f226(a1),x81191),x81194))+P1(f317(f44(x81192,x81191),f317(f317(f242(a1,a1),x81193),x81194))) % 199.88/201.01 [8153]~P1(f317(x81531,x81534))+P1(f317(x81531,f848(x81532,x81531,x81533)))+~P1(f317(f317(f225(a1),f2(a1)),x81532))+~P1(f317(f317(f226(a1),f2(a1)),x81533))+P1(f317(x81531,f317(f317(f23(a1),x81534),f317(f317(f75(a1),x81532),x81533)))) % 199.88/201.01 [8154]~P1(f317(x81541,x81544))+P1(f317(x81541,f849(x81542,x81541,x81543)))+~P1(f317(f317(f225(a1),f2(a1)),x81542))+~P1(f317(f317(f226(a1),f2(a1)),x81543))+P1(f317(x81541,f317(f317(f74(a1),x81544),f317(f317(f75(a1),x81542),x81543)))) % 199.88/201.01 [8155]~P63(x81551)+P1(f317(f317(f226(x81551),x81552),f2(x81551)))+P1(f317(f317(f226(x81551),f2(x81551)),x81552))+P1(f317(f317(f225(x81551),f2(x81551)),x81553))+~P1(f317(f317(f225(x81551),f317(f317(f281(x81551),x81554),x81552)),x81553)) % 199.88/201.01 [8156]~P63(x81561)+P1(f317(f317(f226(x81561),x81562),f2(x81561)))+P1(f317(f317(f226(x81561),f2(x81561)),x81562))+P1(f317(f317(f226(x81561),f2(x81561)),x81563))+~P1(f317(f317(f226(x81561),f317(f317(f281(x81561),x81564),x81562)),x81563)) % 199.88/201.01 [8208]~E(x82081,f317(f317(f74(a1),f317(f317(f75(a1),x82082),x82083)),x82084))+~P1(f317(f317(f225(a1),f2(a1)),x82084))+~P1(f317(f317(f226(a1),f2(a1)),x82082))+~P1(f317(f317(f226(a1),x82084),x82082))+P1(f317(f44(x82081,x82082),f317(f317(f242(a1,a1),x82083),x82084))) % 199.88/201.01 [8325]~P63(x83251)+P1(f317(f317(f226(x83251),x83252),f2(x83251)))+~P1(f317(f317(f225(x83251),f2(x83251)),x83254))+~P1(f317(f317(f225(x83251),x83253),f317(f317(f75(x83251),x83254),x83252)))+P1(f317(f317(f225(x83251),f317(f317(f281(x83251),x83253),x83252)),x83254)) % 199.88/201.01 [8326]~P63(x83261)+P1(f317(f317(f226(x83261),x83262),f2(x83261)))+~P1(f317(f317(f226(x83261),f2(x83261)),x83264))+~P1(f317(f317(f226(x83261),x83263),f317(f317(f75(x83261),x83264),x83262)))+P1(f317(f317(f226(x83261),f317(f317(f281(x83261),x83263),x83262)),x83264)) % 199.88/201.01 [8411]~P63(x84111)+P1(f317(f317(f226(x84111),x84112),f2(x84111)))+~P1(f317(f317(f225(x84111),x84113),f2(x84111)))+P1(f317(f317(f225(x84111),x84113),f317(f317(f281(x84111),x84114),x84112)))+~P1(f317(f317(f225(x84111),f317(f317(f75(x84111),x84113),x84112)),x84114)) % 199.88/201.01 [8412]~P63(x84121)+P1(f317(f317(f226(x84121),x84122),f2(x84121)))+~P1(f317(f317(f226(x84121),x84123),f2(x84121)))+P1(f317(f317(f226(x84121),x84123),f317(f317(f281(x84121),x84124),x84122)))+~P1(f317(f317(f226(x84121),f317(f317(f75(x84121),x84123),x84122)),x84124)) % 199.88/201.01 [8564]~P63(x85641)+~P1(f317(f317(f226(x85641),x85642),f2(x85641)))+P1(f317(f317(f226(x85641),f2(x85641)),x85642))+~P1(f317(f317(f225(x85641),f317(f317(f281(x85641),x85644),x85642)),x85643))+P1(f317(f317(f225(x85641),f317(f317(f75(x85641),x85643),x85642)),x85644)) % 199.88/201.01 [8565]~P63(x85651)+~P1(f317(f317(f226(x85651),x85652),f2(x85651)))+P1(f317(f317(f226(x85651),f2(x85651)),x85652))+~P1(f317(f317(f225(x85651),f317(f317(f75(x85651),x85654),x85652)),x85653))+P1(f317(f317(f225(x85651),f317(f317(f281(x85651),x85653),x85652)),x85654)) % 199.88/201.01 [8566]~P63(x85661)+~P1(f317(f317(f226(x85661),x85662),f2(x85661)))+P1(f317(f317(f226(x85661),f2(x85661)),x85662))+~P1(f317(f317(f226(x85661),f317(f317(f281(x85661),x85664),x85662)),x85663))+P1(f317(f317(f226(x85661),f317(f317(f75(x85661),x85663),x85662)),x85664)) % 199.88/201.01 [8567]~P63(x85671)+~P1(f317(f317(f226(x85671),x85672),f2(x85671)))+P1(f317(f317(f226(x85671),f2(x85671)),x85672))+~P1(f317(f317(f226(x85671),f317(f317(f75(x85671),x85674),x85672)),x85673))+P1(f317(f317(f226(x85671),f317(f317(f281(x85671),x85673),x85672)),x85674)) % 199.88/201.01 [8583]~P63(x85831)+~P1(f317(f317(f225(x85831),f2(x85831)),x85834))+P1(f317(f317(f226(x85831),f2(x85831)),x85832))+~P1(f317(f317(f225(x85831),f317(f317(f75(x85831),x85834),x85832)),x85833))+P1(f317(f317(f225(x85831),f317(f317(f281(x85831),x85833),x85832)),x85834)) % 199.88/201.01 [8584]~P63(x85841)+~P1(f317(f317(f226(x85841),f2(x85841)),x85844))+P1(f317(f317(f226(x85841),f2(x85841)),x85842))+~P1(f317(f317(f226(x85841),f317(f317(f75(x85841),x85844),x85842)),x85843))+P1(f317(f317(f226(x85841),f317(f317(f281(x85841),x85843),x85842)),x85844)) % 199.88/201.01 [8660]~P63(x86601)+~P1(f317(f317(f226(x86601),x86604),f2(x86601)))+~P1(f317(f317(f225(x86601),x86603),f317(f317(f75(x86601),x86602),x86604)))+P1(f317(f317(f225(x86601),x86602),f317(f317(f281(x86601),x86603),x86604)))+~P1(f317(f317(f225(x86601),f317(f317(f75(x86601),x86602),x86604)),x86603)) % 199.88/201.01 [8661]~P63(x86611)+~P1(f317(f317(f225(x86611),x86612),f2(x86611)))+~P1(f317(f317(f225(x86611),x86613),f317(f317(f75(x86611),x86612),x86614)))+P1(f317(f317(f225(x86611),x86612),f317(f317(f281(x86611),x86613),x86614)))+~P1(f317(f317(f225(x86611),f317(f317(f75(x86611),x86612),x86614)),x86613)) % 199.88/201.01 [8662]~P63(x86621)+~P1(f317(f317(f226(x86621),x86624),f2(x86621)))+~P1(f317(f317(f226(x86621),x86623),f317(f317(f75(x86621),x86622),x86624)))+P1(f317(f317(f226(x86621),x86622),f317(f317(f281(x86621),x86623),x86624)))+~P1(f317(f317(f226(x86621),f317(f317(f75(x86621),x86622),x86624)),x86623)) % 199.88/201.01 [8663]~P63(x86631)+~P1(f317(f317(f226(x86631),x86632),f2(x86631)))+~P1(f317(f317(f226(x86631),x86633),f317(f317(f75(x86631),x86632),x86634)))+P1(f317(f317(f226(x86631),x86632),f317(f317(f281(x86631),x86633),x86634)))+~P1(f317(f317(f226(x86631),f317(f317(f75(x86631),x86632),x86634)),x86633)) % 199.88/201.01 [8785]~P63(x87851)+~P1(f317(f317(f226(x87851),x87853),f2(x87851)))+~P1(f317(f317(f225(x87851),x87852),f317(f317(f75(x87851),x87854),x87853)))+~P1(f317(f317(f225(x87851),f317(f317(f75(x87851),x87854),x87853)),x87852))+P1(f317(f317(f225(x87851),f317(f317(f281(x87851),x87852),x87853)),x87854)) % 199.88/201.01 [8786]~P63(x87861)+~P1(f317(f317(f226(x87861),x87863),f2(x87861)))+~P1(f317(f317(f226(x87861),x87862),f317(f317(f75(x87861),x87864),x87863)))+~P1(f317(f317(f226(x87861),f317(f317(f75(x87861),x87864),x87863)),x87862))+P1(f317(f317(f226(x87861),f317(f317(f281(x87861),x87862),x87863)),x87864)) % 199.88/201.01 [8803]~P63(x88031)+~P1(f317(f317(f225(x88031),f2(x88031)),x88034))+~P1(f317(f317(f225(x88031),x88032),f317(f317(f75(x88031),x88034),x88033)))+~P1(f317(f317(f225(x88031),f317(f317(f75(x88031),x88034),x88033)),x88032))+P1(f317(f317(f225(x88031),f317(f317(f281(x88031),x88032),x88033)),x88034)) % 199.88/201.01 [8804]~P63(x88041)+~P1(f317(f317(f226(x88041),f2(x88041)),x88044))+~P1(f317(f317(f226(x88041),x88042),f317(f317(f75(x88041),x88044),x88043)))+~P1(f317(f317(f226(x88041),f317(f317(f75(x88041),x88044),x88043)),x88042))+P1(f317(f317(f226(x88041),f317(f317(f281(x88041),x88042),x88043)),x88044)) % 199.88/201.01 [8987]E(f317(f317(f23(a1),f395(x89871,x89872,x89873,x89874)),f396(x89871,x89872,x89873,x89874)),x89874)+~P1(f317(f317(f226(a1),f2(a1)),x89873))+~P1(f317(f317(f319(a1),x89872),x89871))+~P1(f317(f317(f226(a1),x89874),x89872))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x89874),x89873)),x89872)) % 199.88/201.01 [9058]~P1(f317(x90581,x90582))+~P1(f317(f317(f225(a1),f2(a1)),x90583))+~P1(f317(f317(f226(a1),f2(a1)),x90584))+~P1(f317(x90581,f317(f317(f23(a1),f848(x90583,x90581,x90584)),x90584)))+P1(f317(x90581,f317(f317(f23(a1),x90582),f317(f317(f75(a1),x90583),x90584)))) % 199.88/201.01 [9059]~P1(f317(x90591,x90592))+~P1(f317(f317(f225(a1),f2(a1)),x90593))+~P1(f317(f317(f226(a1),f2(a1)),x90594))+~P1(f317(x90591,f317(f317(f74(a1),f849(x90593,x90591,x90594)),x90594)))+P1(f317(x90591,f317(f317(f74(a1),x90592),f317(f317(f75(a1),x90593),x90594)))) % 199.88/201.01 [9211]~P1(f317(f317(f226(a1),f2(a1)),x92113))+~P1(f317(f317(f319(a1),x92112),x92111))+~P1(f317(f317(f226(a1),x92114),x92112))+P1(f317(f317(f319(a1),f395(x92111,x92112,x92113,x92114)),x92111))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x92114),x92113)),x92112)) % 199.88/201.01 [9230]E(f317(f317(f23(a1),f385(x92301,x92302,x92303,x92304)),f386(x92301,x92302,x92303,x92304)),x92304)+~P1(f317(f317(f226(a1),f2(a1)),x92303))+~P1(f317(f317(f225(a1),x92304),x92302))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x92302),f72(a1))),x92301))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92304),x92303)),x92302)) % 199.88/201.01 [9258]~P1(f317(f317(f226(a1),f2(a1)),x92582))+~P1(f317(f317(f319(a1),x92583),x92584))+~P1(f317(f317(f226(a1),x92581),x92583))+P1(f317(f317(f319(a1),f396(x92584,x92583,x92582,x92581)),f293(a1,f72(a1),x92582)))+P1(f317(f317(f226(a1),f317(f317(f74(a1),x92581),x92582)),x92583)) % 199.88/201.01 [9349]~P1(f317(f317(f226(a1),f2(a1)),x93493))+~P1(f317(f317(f225(a1),x93494),x93492))+P1(f317(f317(f319(a1),f385(x93491,x93492,x93493,x93494)),x93491))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93492),f72(a1))),x93491))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x93494),x93493)),x93492)) % 199.88/201.01 [9397]~P1(f317(f317(f226(a1),f2(a1)),x93972))+~P1(f317(f317(f225(a1),x93971),x93973))+P1(f317(f317(f319(a1),f386(x93974,x93973,x93972,x93971)),f293(a1,f72(a1),x93972)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93973),f72(a1))),x93974))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x93971),x93972)),x93973)) % 199.88/201.01 [9699]~P36(x96991,x96993)+~P26(x96991,x96994)+P36(x96991,f317(f317(f91(f905(f904(x96991,x96991),a894)),x96992),x96993))+~P1(f317(f317(f225(f905(f904(x96991,x96991),a894)),x96992),f317(f241(f905(f904(x96991,x96991),a894),f905(f904(x96991,x96991),a894)),x96994)))+~P1(f317(f317(f225(f905(f904(x96991,x96991),a894)),x96993),f317(f246(f905(f904(x96991,x96991),a894),f905(f904(x96991,x96991),a894)),x96994))) % 199.88/201.01 [10086]~P18(x100862,x100864,x100863)+E(x100861,f178(f905(x100862,a894)))+~P1(f317(f28(x100862),x100861))+P1(f317(f317(f319(x100862),f317(x100863,x100861)),x100861))+~P1(f317(f317(f319(x100862),f317(f317(x100864,f361(x100861,x100863,x100864,x100862)),f369(x100861,x100863,x100864,x100862))),f317(f317(f299(x100862),f361(x100861,x100863,x100864,x100862)),f317(f317(f299(x100862),f369(x100861,x100863,x100864,x100862)),f178(f905(x100862,a894)))))) % 199.88/201.01 [10011]~P109(x100112)+~P60(x100111)+~P1(f317(f317(f225(f905(x100111,x100112)),x100113),x100114))+P1(f317(f317(f226(f905(x100111,x100112)),x100113),x100114))+~P1(f317(f51(x100111),f317(f317(f8(a894,a894,x100111),a312),f317(f317(f18(x100111,x100112,a894),f317(f317(f8(x100112,f905(x100112,a894),x100111),a314),x100113)),x100114)))) % 199.88/201.01 [9614]~P54(x96141,x96141,x96144)+P1(f317(f317(f319(f904(x96141,x96141)),f317(f317(f242(x96141,x96141),x96142),x96143)),f297(x96141,x96144)))+P1(f317(f317(f319(f904(x96141,x96141)),f317(f317(f242(x96141,x96141),x96143),x96142)),f297(x96141,x96144)))+~P1(f317(f317(f319(f904(x96141,x96141)),f317(f317(f242(x96141,x96141),x96145),x96142)),f297(x96141,x96144)))+~P1(f317(f317(f319(f904(x96141,x96141)),f317(f317(f242(x96141,x96141),x96145),x96143)),f297(x96141,x96144))) % 199.88/201.01 [5691]E(x56911,f2(a898))+~E(f317(f29(x56912),x56915),x56911)+E(f317(f29(x56912),x56913),f317(a102,x56911))+~E(x56913,f317(f317(f299(x56912),x56914),x56915))+P1(f317(f317(f319(x56912),x56914),x56915)) % 199.88/201.01 [5813]~P62(x58132)+E(x58131,f2(x58132))+E(x58133,f2(x58132))+~E(f317(f317(f281(x58132),x58134),x58133),f317(f317(f281(x58132),x58135),x58131))+E(f317(f317(f75(x58132),x58134),x58131),f317(f317(f75(x58132),x58135),x58133)) % 199.88/201.01 [5814]~P62(x58142)+E(x58141,f2(x58142))+E(x58143,f2(x58142))+~E(f317(f317(f75(x58142),x58144),x58143),f317(f317(f75(x58142),x58145),x58141))+E(f317(f317(f281(x58142),x58144),x58141),f317(f317(f281(x58142),x58145),x58143)) % 199.88/201.01 [5892]~E(f317(f29(x58921),x58925),x58923)+~E(x58925,f178(f905(x58921,a894)))+E(f317(f29(x58921),x58922),f317(a102,x58923))+~E(x58922,f317(f317(f299(x58921),x58924),x58925))+P1(f317(f317(f319(x58921),x58924),x58925)) % 199.88/201.01 [6133]~P112(x61332)+~E(f317(x61333,x61335),f2(x61332))+E(f317(f317(f9(x61331,x61332),x61333),x61334),f2(x61332))+~P1(f317(f28(x61331),x61334))+~P1(f317(f317(f319(x61331),x61335),x61334)) % 199.88/201.01 [6517]~P108(x65173)+E(x65171,x65172)+~E(f317(f292(x65173,x65174),x65171),f317(f292(x65173,x65175),x65172))+~P1(f317(f317(f226(x65173),x65175),x65172))+~P1(f317(f317(f226(x65173),x65174),x65171)) % 199.88/201.01 [6518]~P108(x65183)+E(x65181,x65182)+~E(f317(f292(x65183,x65181),x65184),f317(f292(x65183,x65182),x65185))+~P1(f317(f317(f226(x65183),x65182),x65185))+~P1(f317(f317(f226(x65183),x65181),x65184)) % 199.88/201.01 [7599]~P108(x75991)+~P13(x75991,f317(f317(f124(x75991),x75994),x75995))+~P1(f317(f317(f319(x75991),x75993),f317(f162(x75991),x75995)))+~P1(f317(f317(f319(x75991),x75992),f317(f162(x75991),x75994)))+P1(f317(f317(f225(x75991),x75992),x75993)) % 199.88/201.01 [8697]~P109(x86971)+~P1(f317(f317(f226(f905(x86971,a894)),f293(x86971,x86975,x86972)),f293(x86971,x86974,x86973)))+~P1(f317(f317(f225(x86971),x86975),x86972))+P1(f317(f317(f226(x86971),x86972),x86973))+P1(f317(f317(f226(x86971),x86974),x86975)) % 199.88/201.01 [10129]~P17(x101292,x101295,x101293)+E(x101291,f178(f905(x101292,a894)))+~E(f317(f317(x101295,f317(x101294,f337(x101291,x101294,x101293,x101295,x101292))),f317(x101294,f347(x101291,x101294,x101293,x101295,x101292))),f317(x101294,f317(f317(x101295,f337(x101291,x101294,x101293,x101295,x101292)),f347(x101291,x101294,x101293,x101295,x101292))))+E(f317(x101293,f317(f300(x101292,x101292,x101294),x101291)),f317(x101294,f317(x101293,x101291)))+~P1(f317(f28(x101292),x101291)) % 199.88/201.01 [6514]~P18(x65142,x65145,x65143)+E(x65141,f178(f905(x65142,a894)))+~P1(f317(f28(x65142),x65141))+E(f317(x65143,f317(f317(f299(x65142),x65144),x65141)),f317(f317(x65145,x65144),f317(x65143,x65141)))+P1(f317(f317(f319(x65142),x65144),x65141)) % 199.88/201.01 [7360]~P17(x73602,x73603,x73604)+E(f317(f317(x73603,f317(x73604,x73601)),f317(x73604,x73605)),f317(x73604,x73605))+E(x73601,f178(f905(x73602,a894)))+~P1(f317(f28(x73602),x73605))+~P1(f317(f317(f225(f905(x73602,a894)),x73601),x73605)) % 199.88/201.01 [7737]~P18(x77374,x77375,x77371)+E(f317(x77371,x77372),x77373)+~P1(f317(f28(x77374),x77372))+~E(f317(f317(f23(f905(x77374,a894)),x77372),f317(f317(f299(x77374),x77373),f178(f905(x77374,a894)))),f178(f905(x77374,a894)))+~P1(f317(f317(f319(x77374),x77373),x77372)) % 199.88/201.01 [8618]~P78(x86181)+~P121(x86181)+~P1(f317(f28(x86182),x86185))+P1(f317(f317(f277(x86181),f317(f317(f9(x86182,x86181),x86183),x86184)),f317(f317(f9(x86182,x86181),x86183),x86185)))+~P1(f317(f317(f225(f905(x86182,a894)),x86184),x86185)) % 199.88/201.01 [8667]E(x86671,x86672)+~P8(x86673,x86674,x86675)+E(f317(f317(f92(f905(x86673,a894)),x86671),x86672),f178(f905(x86673,a894)))+~P1(f317(f317(f319(f905(x86673,a894)),x86672),f317(f317(f55(x86673),x86674),x86675)))+~P1(f317(f317(f319(f905(x86673,a894)),x86671),f317(f317(f55(x86673),x86674),x86675))) % 199.88/201.01 [9480]~P78(x94802)+~E(f317(x94803,f365(x94803,x94804,x94805,x94801,x94802)),f72(x94802))+E(f317(f317(f9(x94801,x94802),x94803),x94804),f317(f317(f9(x94801,x94802),x94803),x94805))+~P1(f317(f28(x94801),x94805))+~P1(f317(f317(f225(f905(x94801,a894)),x94804),x94805)) % 199.88/201.01 [9481]~P78(x94812)+~E(f317(x94813,f371(x94813,x94814,x94815,x94811,x94812)),f72(x94812))+E(f317(f317(f9(x94811,x94812),x94813),x94814),f317(f317(f9(x94811,x94812),x94813),x94815))+~P1(f317(f28(x94811),x94815))+~P1(f317(f317(f225(f905(x94811,a894)),x94814),x94815)) % 199.88/201.01 [9482]~P77(x94822)+~E(f317(x94823,f454(x94823,x94824,x94825,x94821,x94822)),f2(x94822))+E(f317(f317(f6(x94821,x94822),x94823),x94824),f317(f317(f6(x94821,x94822),x94823),x94825))+~P1(f317(f28(x94821),x94825))+~P1(f317(f317(f225(f905(x94821,a894)),x94824),x94825)) % 199.88/201.01 [9483]~P77(x94832)+~E(f317(x94833,f456(x94833,x94834,x94835,x94831,x94832)),f2(x94832))+E(f317(f317(f6(x94831,x94832),x94833),x94834),f317(f317(f6(x94831,x94832),x94833),x94835))+~P1(f317(f28(x94831),x94835))+~P1(f317(f317(f225(f905(x94831,a894)),x94834),x94835)) % 199.88/201.01 [9964]~P88(x99641)+~P1(f317(f28(x99642),x99645))+~P1(f317(f317(f225(x99641),f2(x99641)),f317(x99643,f422(x99643,x99644,x99645,x99642,x99641))))+P1(f317(f317(f225(x99641),f317(f317(f6(x99642,x99641),x99643),x99644)),f317(f317(f6(x99642,x99641),x99643),x99645)))+~P1(f317(f317(f225(f905(x99642,a894)),x99644),x99645)) % 199.88/201.01 [7596]E(x75961,f2(a898))+P1(f317(x75962,x75963))+~E(x75964,f317(f317(f74(a898),f317(f317(f75(a898),x75961),x75963)),x75965))+~P1(f317(f317(f226(a898),x75965),x75961))+~P1(f317(x75962,f317(f317(f30(a898),x75964),x75961))) % 199.88/201.01 [7675]E(x76751,f2(a898))+P1(f317(x76752,x76753))+~P1(f317(x76752,f40(a898,x76754,x76751)))+~E(x76754,f317(f317(f74(a898),f317(f317(f75(a898),x76751),x76755)),x76753))+~P1(f317(f317(f226(a898),x76753),x76751)) % 199.88/201.01 [7969]~P62(x79693)+E(f317(x79691,x79692),f2(x79693))+~P1(f317(f28(x79694),x79695))+E(f317(f317(f9(x79694,x79693),x79691),f317(f317(f23(f905(x79694,a894)),x79695),f317(f317(f299(x79694),x79692),f178(f905(x79694,a894))))),f317(f317(f9(x79694,x79693),x79691),x79695))+P1(f317(f317(f319(x79694),x79692),x79695)) % 199.88/201.01 [8367]~P78(x83671)+~P1(f317(f28(x83672),x83675))+~P1(f317(f28(x83672),x83674))+~E(f317(f317(f92(f905(x83672,a894)),x83674),x83675),f178(f905(x83672,a894)))+E(f317(f317(f75(x83671),f317(f317(f9(x83672,x83671),x83673),x83674)),f317(f317(f9(x83672,x83671),x83673),x83675)),f317(f317(f9(x83672,x83671),x83673),f317(f317(f91(f905(x83672,a894)),x83674),x83675))) % 199.88/201.01 [8368]~P77(x83681)+~P1(f317(f28(x83682),x83685))+~P1(f317(f28(x83682),x83684))+~E(f317(f317(f92(f905(x83682,a894)),x83684),x83685),f178(f905(x83682,a894)))+E(f317(f317(f74(x83681),f317(f317(f6(x83682,x83681),x83683),x83684)),f317(f317(f6(x83682,x83681),x83683),x83685)),f317(f317(f6(x83682,x83681),x83683),f317(f317(f91(f905(x83682,a894)),x83684),x83685))) % 199.88/201.01 [8467]~P62(x84673)+E(f317(x84671,x84672),f2(x84673))+~P1(f317(f28(x84674),x84675))+E(f317(f317(f9(x84674,x84673),x84671),f317(f317(f23(f905(x84674,a894)),x84675),f317(f317(f299(x84674),x84672),f178(f905(x84674,a894))))),f317(f317(f281(x84673),f317(f317(f9(x84674,x84673),x84671),x84675)),f317(x84671,x84672)))+~P1(f317(f317(f319(x84674),x84672),x84675)) % 199.88/201.01 [9188]~P8(x91881,x91885,x91884)+~E(f317(f317(f55(x91881),f317(f317(f299(x91881),x91882),f178(f905(x91881,a894)))),x91884),f317(f317(f55(x91881),f317(f317(f299(x91881),x91883),f178(f905(x91881,a894)))),x91884))+~P1(f317(f317(f319(x91881),x91883),x91885))+~P1(f317(f317(f319(x91881),x91882),x91885))+P1(f317(f317(f319(f904(x91881,x91881)),f317(f317(f242(x91881,x91881),x91882),x91883)),x91884)) % 199.88/201.01 [9210]~P8(x92101,x92105,x92103)+E(f317(f317(f55(x92101),f317(f317(f299(x92101),x92102),f178(f905(x92101,a894)))),x92103),f317(f317(f55(x92101),f317(f317(f299(x92101),x92104),f178(f905(x92101,a894)))),x92103))+~P1(f317(f317(f319(x92101),x92104),x92105))+~P1(f317(f317(f319(x92101),x92102),x92105))+~P1(f317(f317(f319(f904(x92101,x92101)),f317(f317(f242(x92101,x92101),x92102),x92104)),x92103)) % 199.88/201.01 [9509]~P78(x95091)+~P1(f317(f28(x95092),x95095))+~P1(f317(f28(x95092),x95094))+~E(f317(f317(f92(f905(x95092,a894)),x95094),x95095),f178(f905(x95092,a894)))+E(f317(f317(f75(x95091),f317(f317(f317(f59(x95091,x95092,f75(x95091)),x95093),f72(x95091)),x95094)),f317(f317(f317(f59(x95091,x95092,f75(x95091)),x95093),f72(x95091)),x95095)),f317(f317(f317(f59(x95091,x95092,f75(x95091)),x95093),f72(x95091)),f317(f317(f91(f905(x95092,a894)),x95094),x95095))) % 199.88/201.01 [9520]~P78(x95201)+~E(f317(x95203,f441(x95203,x95205,x95204,x95202,x95201)),f72(x95201))+~P1(f317(f28(x95202),x95204))+~P1(f317(f28(x95202),x95205))+E(f317(f317(f75(x95201),f317(f317(f9(x95202,x95201),x95203),x95204)),f317(f317(f9(x95202,x95201),x95203),x95205)),f317(f317(f9(x95202,x95201),x95203),f317(f317(f91(f905(x95202,a894)),x95204),x95205))) % 199.88/201.01 [9521]~P78(x95211)+~E(f317(x95213,f444(x95213,x95215,x95214,x95212,x95211)),f72(x95211))+~P1(f317(f28(x95212),x95214))+~P1(f317(f28(x95212),x95215))+E(f317(f317(f75(x95211),f317(f317(f9(x95212,x95211),x95213),x95214)),f317(f317(f9(x95212,x95211),x95213),x95215)),f317(f317(f9(x95212,x95211),x95213),f317(f317(f91(f905(x95212,a894)),x95214),x95215))) % 199.88/201.01 [9522]~P77(x95221)+~E(f317(x95223,f445(x95223,x95225,x95224,x95222,x95221)),f2(x95221))+~P1(f317(f28(x95222),x95224))+~P1(f317(f28(x95222),x95225))+E(f317(f317(f74(x95221),f317(f317(f6(x95222,x95221),x95223),x95224)),f317(f317(f6(x95222,x95221),x95223),x95225)),f317(f317(f6(x95222,x95221),x95223),f317(f317(f91(f905(x95222,a894)),x95224),x95225))) % 199.88/201.01 [9523]~P77(x95231)+~E(f317(x95233,f446(x95233,x95235,x95234,x95232,x95231)),f2(x95231))+~P1(f317(f28(x95232),x95234))+~P1(f317(f28(x95232),x95235))+E(f317(f317(f74(x95231),f317(f317(f6(x95232,x95231),x95233),x95234)),f317(f317(f6(x95232,x95231),x95233),x95235)),f317(f317(f6(x95232,x95231),x95233),f317(f317(f91(f905(x95232,a894)),x95234),x95235))) % 199.88/201.01 [9742]~P78(x97421)+~E(f317(x97423,f443(x97423,x97425,x97424,x97422,x97421)),f72(x97421))+~P1(f317(f28(x97422),x97424))+~P1(f317(f28(x97422),x97425))+E(f317(f317(f75(x97421),f317(f317(f317(f59(x97421,x97422,f75(x97421)),x97423),f72(x97421)),x97424)),f317(f317(f317(f59(x97421,x97422,f75(x97421)),x97423),f72(x97421)),x97425)),f317(f317(f317(f59(x97421,x97422,f75(x97421)),x97423),f72(x97421)),f317(f317(f91(f905(x97422,a894)),x97424),x97425))) % 199.88/201.01 [9852]~P78(x98522)+E(f317(f317(f9(x98521,x98522),x98523),x98524),f317(f317(f9(x98521,x98522),x98523),x98525))+~P1(f317(f28(x98521),x98525))+~P1(f317(f317(f225(f905(x98521,a894)),x98524),x98525))+P1(f317(f317(f319(x98521),f365(x98523,x98524,x98525,x98521,x98522)),f317(f317(f23(f905(x98521,a894)),x98525),x98524))) % 199.88/201.01 [9853]~P78(x98532)+E(f317(f317(f9(x98531,x98532),x98533),x98534),f317(f317(f9(x98531,x98532),x98533),x98535))+~P1(f317(f28(x98531),x98535))+~P1(f317(f317(f225(f905(x98531,a894)),x98534),x98535))+P1(f317(f317(f319(x98531),f371(x98533,x98534,x98535,x98531,x98532)),f317(f317(f23(f905(x98531,a894)),x98535),x98534))) % 199.88/201.01 [9854]~P77(x98542)+E(f317(f317(f6(x98541,x98542),x98543),x98544),f317(f317(f6(x98541,x98542),x98543),x98545))+~P1(f317(f28(x98541),x98545))+~P1(f317(f317(f225(f905(x98541,a894)),x98544),x98545))+P1(f317(f317(f319(x98541),f454(x98543,x98544,x98545,x98541,x98542)),f317(f317(f23(f905(x98541,a894)),x98545),x98544))) % 199.88/201.01 [9855]~P77(x98552)+E(f317(f317(f6(x98551,x98552),x98553),x98554),f317(f317(f6(x98551,x98552),x98553),x98555))+~P1(f317(f28(x98551),x98555))+~P1(f317(f317(f225(f905(x98551,a894)),x98554),x98555))+P1(f317(f317(f319(x98551),f456(x98553,x98554,x98555,x98551,x98552)),f317(f317(f23(f905(x98551,a894)),x98555),x98554))) % 199.88/201.01 [9873]~P78(x98731)+~P1(f317(f28(x98732),x98734))+~P1(f317(f28(x98732),x98735))+E(f317(f317(f75(x98731),f317(f317(f9(x98732,x98731),x98733),x98734)),f317(f317(f9(x98732,x98731),x98733),x98735)),f317(f317(f9(x98732,x98731),x98733),f317(f317(f91(f905(x98732,a894)),x98734),x98735)))+P1(f317(f317(f319(x98732),f441(x98733,x98735,x98734,x98732,x98731)),f317(f317(f92(f905(x98732,a894)),x98734),x98735))) % 199.88/201.01 [9874]~P78(x98741)+~P1(f317(f28(x98742),x98744))+~P1(f317(f28(x98742),x98745))+E(f317(f317(f75(x98741),f317(f317(f9(x98742,x98741),x98743),x98744)),f317(f317(f9(x98742,x98741),x98743),x98745)),f317(f317(f9(x98742,x98741),x98743),f317(f317(f91(f905(x98742,a894)),x98744),x98745)))+P1(f317(f317(f319(x98742),f444(x98743,x98745,x98744,x98742,x98741)),f317(f317(f92(f905(x98742,a894)),x98744),x98745))) % 199.88/201.01 [9875]~P77(x98751)+~P1(f317(f28(x98752),x98754))+~P1(f317(f28(x98752),x98755))+E(f317(f317(f74(x98751),f317(f317(f6(x98752,x98751),x98753),x98754)),f317(f317(f6(x98752,x98751),x98753),x98755)),f317(f317(f6(x98752,x98751),x98753),f317(f317(f91(f905(x98752,a894)),x98754),x98755)))+P1(f317(f317(f319(x98752),f445(x98753,x98755,x98754,x98752,x98751)),f317(f317(f92(f905(x98752,a894)),x98754),x98755))) % 199.88/201.01 [9876]~P77(x98761)+~P1(f317(f28(x98762),x98764))+~P1(f317(f28(x98762),x98765))+E(f317(f317(f74(x98761),f317(f317(f6(x98762,x98761),x98763),x98764)),f317(f317(f6(x98762,x98761),x98763),x98765)),f317(f317(f6(x98762,x98761),x98763),f317(f317(f91(f905(x98762,a894)),x98764),x98765)))+P1(f317(f317(f319(x98762),f446(x98763,x98765,x98764,x98762,x98761)),f317(f317(f92(f905(x98762,a894)),x98764),x98765))) % 199.88/201.01 [9882]~P88(x98825)+~P1(f317(f28(x98821),x98824))+P1(f317(f317(f225(x98825),f317(f317(f6(x98821,x98825),x98822),x98823)),f317(f317(f6(x98821,x98825),x98822),x98824)))+~P1(f317(f317(f225(f905(x98821,a894)),x98823),x98824))+P1(f317(f317(f319(x98821),f422(x98822,x98823,x98824,x98821,x98825)),f317(f317(f23(f905(x98821,a894)),x98824),x98823))) % 199.88/201.01 [9926]~P78(x99261)+~P1(f317(f28(x99262),x99264))+~P1(f317(f28(x99262),x99265))+E(f317(f317(f75(x99261),f317(f317(f317(f59(x99261,x99262,f75(x99261)),x99263),f72(x99261)),x99264)),f317(f317(f317(f59(x99261,x99262,f75(x99261)),x99263),f72(x99261)),x99265)),f317(f317(f317(f59(x99261,x99262,f75(x99261)),x99263),f72(x99261)),f317(f317(f91(f905(x99262,a894)),x99264),x99265)))+P1(f317(f317(f319(x99262),f443(x99263,x99265,x99264,x99262,x99261)),f317(f317(f92(f905(x99262,a894)),x99264),x99265))) % 199.88/201.01 [8876]~P18(x88761,x88764,x88765)+~P1(f317(f28(x88761),x88762))+E(f317(f317(f23(f905(x88761,a894)),x88762),f317(f317(f299(x88761),x88763),f178(f905(x88761,a894)))),f178(f905(x88761,a894)))+~P1(f317(f317(f319(x88761),x88763),x88762))+E(f317(f317(x88764,x88763),f317(x88765,f317(f317(f23(f905(x88761,a894)),x88762),f317(f317(f299(x88761),x88763),f178(f905(x88761,a894)))))),f317(x88765,x88762)) % 199.88/201.01 [8954]~P18(x89541,x89544,x89545)+~P1(f317(f28(x89541),x89543))+~P1(f317(f28(x89541),x89542))+E(f317(f317(f92(f905(x89541,a894)),x89542),x89543),f178(f905(x89541,a894)))+E(f317(f317(x89544,f317(x89545,f317(f317(f91(f905(x89541,a894)),x89542),x89543))),f317(x89545,f317(f317(f92(f905(x89541,a894)),x89542),x89543))),f317(f317(x89544,f317(x89545,x89542)),f317(x89545,x89543))) % 199.88/201.01 [9525]~P1(f317(f317(f225(a1),x95254),f2(a1)))+~P1(f317(f317(f226(a1),x95253),x95255))+P1(f317(f317(f225(a1),x95251),x95252))+~P1(f317(f317(f226(a1),x95253),x95254))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95253),x95252)),x95255)),f317(f317(f74(a1),f317(f317(f75(a1),x95253),x95251)),x95254))) % 199.88/201.01 [9527]~P1(f317(f317(f225(a1),f2(a1)),x95275))+P1(f317(f317(f225(a1),x95271),x95272))+~P1(f317(f317(f226(a1),x95273),x95274))+~P1(f317(f317(f226(a1),x95275),x95274))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95274),x95271)),x95275)),f317(f317(f74(a1),f317(f317(f75(a1),x95274),x95272)),x95273))) % 199.88/201.01 [9651]~P62(x96515)+E(f317(x96511,f442(x96511,x96512,x96513,x96514,x96515)),f2(x96515))+~P1(f317(f28(x96514),x96513))+~P1(f317(f28(x96514),x96512))+E(f317(f317(f281(x96515),f317(f317(f75(x96515),f317(f317(f9(x96514,x96515),x96511),x96513)),f317(f317(f9(x96514,x96515),x96511),x96512))),f317(f317(f9(x96514,x96515),x96511),f317(f317(f92(f905(x96514,a894)),x96513),x96512))),f317(f317(f9(x96514,x96515),x96511),f317(f317(f91(f905(x96514,a894)),x96513),x96512))) % 199.88/201.01 [9918]~P62(x99181)+~P1(f317(f28(x99182),x99184))+~P1(f317(f28(x99182),x99185))+E(f317(f317(f281(x99181),f317(f317(f75(x99181),f317(f317(f9(x99182,x99181),x99183),x99184)),f317(f317(f9(x99182,x99181),x99183),x99185))),f317(f317(f9(x99182,x99181),x99183),f317(f317(f92(f905(x99182,a894)),x99184),x99185))),f317(f317(f9(x99182,x99181),x99183),f317(f317(f91(f905(x99182,a894)),x99184),x99185)))+P1(f317(f317(f319(x99182),f442(x99183,x99185,x99184,x99182,x99181)),f317(f317(f92(f905(x99182,a894)),x99184),x99185))) % 199.88/201.01 [9229]E(f317(f317(f124(x92291),x92292),x92293),f317(f317(f124(x92291),x92294),x92295))+~E(f317(f317(f165(x92291),f317(f179(f899(x92291)),x92294)),x92292),x92294)+~E(f317(f317(f165(x92291),f317(f179(f899(x92291)),x92292)),x92294),x92292)+~E(x92295,f317(f317(f124(x92291),f317(f317(f128(x92291),f317(f179(f899(x92291)),x92294)),x92292)),x92293))+~E(f317(f317(f124(x92291),f317(f317(f128(x92291),f317(f179(f899(x92291)),x92292)),x92294)),x92295),x92293) % 199.88/201.01 [9649]~P108(x96492)+E(f317(f317(f138(x96491,x96492,x96493),x96494),f160(x96491,x96494,x96495)),x96495)+~P13(x96492,f317(f317(f144(x96491,x96492),x96493),x96495))+~P1(f317(f317(f319(x96491),x96494),f317(f162(x96491),x96495)))+~E(f317(f131(x96491),f317(f126(x96491,f317(f317(f8(x96492,a894,x96491),f317(a314,f317(x96493,x96494))),x96493)),x96495)),x96494) % 199.88/201.01 [9982]~P74(x99821)+~P1(f317(f60(x99821,x99821,f75(x99821),x99822,x99823),x99825))+~P1(f317(f317(f319(x99821),x99824),x99823))+P1(f317(f317(f319(x99821),x99822),x99823))+P1(f317(f60(x99821,x99821,f75(x99821),x99824,f317(f317(f299(x99821),x99822),f317(f317(f23(f905(x99821,a894)),x99823),f317(f317(f299(x99821),x99824),f178(f905(x99821,a894)))))),x99825)) % 199.88/201.01 [7368]E(x73681,x73682)+~P24(x73684,x73685,x73683,x73686)+~E(f317(x73683,x73681),f317(x73683,x73682))+~P1(f317(f317(f319(x73684),x73682),x73686))+~P1(f317(f317(f319(x73684),x73681),x73686)) % 199.88/201.01 [6610]~P146(x66104)+E(x66101,x66102)+~E(x66105,x66106)+E(x66103,f2(x66104))+~E(f317(f317(f74(x66104),x66105),f317(f317(f75(x66104),x66103),x66101)),f317(f317(f74(x66104),x66106),f317(f317(f75(x66104),x66103),x66102))) % 199.88/201.01 [7655]~P108(x76551)+~P5(x76551)+~P1(f317(f317(f226(x76551),x76552),f317(x76555,x76556)))+~P1(f317(f317(f319(x76553),x76556),x76554))+P1(f317(f317(f226(x76551),x76552),f317(f317(f34(x76553,x76551),x76554),x76555))) % 199.88/201.01 [9978]~P24(x99782,x99781,x99783,x99784)+~P24(x99781,x99782,x99786,x99785)+P25(x99781,x99782,f805(x99783,x99784,x99785,x99786,x99782,x99781),x99785,x99784)+~P1(f317(f317(f225(f905(x99782,a894)),f317(f300(x99781,x99782,x99786),x99785)),x99784))+~P1(f317(f317(f225(f905(x99781,a894)),f317(f300(x99782,x99781,x99783),x99784)),x99785)) % 199.88/201.01 [8336]~P108(x83361)+~P5(x83361)+~P1(f317(f317(f226(x83361),f317(x83364,x83366)),x83365))+~P1(f317(f317(f319(x83362),x83366),x83363))+P1(f317(f317(f226(x83361),f317(f317(f35(x83362,x83361),x83363),x83364)),x83365)) % 199.88/201.01 [8590]~P19(x85902,x85905,x85906,x85901)+~P1(f317(f28(x85902),x85904))+~P1(f317(f28(x85902),x85903))+~E(f317(f317(f92(f905(x85902,a894)),x85903),x85904),f178(f905(x85902,a894)))+E(f317(x85901,f317(f317(f91(f905(x85902,a894)),x85903),x85904)),f317(f67(x85905,x85905,x85905,f317(x85901,x85903)),f317(x85901,x85904))) % 199.88/201.01 [10189]~P78(x101891)+~E(f792(x101894,x101895,x101893,x101896,x101892,x101891),f793(x101894,x101895,x101893,x101896,x101892,x101891))+~P1(f317(f28(x101892),x101896))+E(f317(f317(f317(f59(x101891,x101892,f75(x101891)),f317(f317(f8(f905(x101893,a894),x101891,x101892),f317(f317(f59(x101891,x101893,f75(x101891)),x101894),f72(x101891))),x101895)),f72(x101891)),x101896),f317(f317(f317(f59(x101891,x101893,f75(x101891)),x101894),f72(x101891)),f317(f317(f34(x101892,f905(x101893,a894)),x101896),x101895)))+P1(f317(f317(f319(x101892),f791(x101894,x101895,x101893,x101896,x101892,x101891)),x101896)) % 199.88/201.01 [10219]~P78(x102191)+~E(f792(x102194,x102195,x102193,x102196,x102192,x102191),f793(x102194,x102195,x102193,x102196,x102192,x102191))+~P1(f317(f28(x102192),x102196))+E(f317(f317(f317(f59(x102191,x102192,f75(x102191)),f317(f317(f8(f905(x102193,a894),x102191,x102192),f317(f317(f59(x102191,x102193,f75(x102191)),x102194),f72(x102191))),x102195)),f72(x102191)),x102196),f317(f317(f317(f59(x102191,x102193,f75(x102191)),x102194),f72(x102191)),f317(f317(f34(x102192,f905(x102193,a894)),x102196),x102195)))+~P1(f317(f28(x102193),f317(x102195,f791(x102194,x102195,x102193,x102196,x102192,x102191)))) % 199.88/201.01 [10222]~P78(x102221)+~P1(f317(f28(x102222),x102226))+E(f317(f317(f317(f59(x102221,x102222,f75(x102221)),f317(f317(f8(f905(x102223,a894),x102221,x102222),f317(f317(f59(x102221,x102223,f75(x102221)),x102224),f72(x102221))),x102225)),f72(x102221)),x102226),f317(f317(f317(f59(x102221,x102223,f75(x102221)),x102224),f72(x102221)),f317(f317(f34(x102222,f905(x102223,a894)),x102226),x102225)))+P1(f317(f317(f319(x102222),f791(x102224,x102225,x102223,x102226,x102222,x102221)),x102226))+P1(f317(f317(f319(x102222),f793(x102224,x102225,x102223,x102226,x102222,x102221)),x102226)) % 199.88/201.01 [10223]~P78(x102231)+~P1(f317(f28(x102232),x102236))+E(f317(f317(f317(f59(x102231,x102232,f75(x102231)),f317(f317(f8(f905(x102233,a894),x102231,x102232),f317(f317(f59(x102231,x102233,f75(x102231)),x102234),f72(x102231))),x102235)),f72(x102231)),x102236),f317(f317(f317(f59(x102231,x102233,f75(x102231)),x102234),f72(x102231)),f317(f317(f34(x102232,f905(x102233,a894)),x102236),x102235)))+P1(f317(f317(f319(x102232),f791(x102234,x102235,x102233,x102236,x102232,x102231)),x102236))+P1(f317(f317(f319(x102232),f792(x102234,x102235,x102233,x102236,x102232,x102231)),x102236)) % 199.88/201.01 [10242]~P78(x102421)+~P1(f317(f28(x102422),x102426))+E(f317(f317(f317(f59(x102421,x102422,f75(x102421)),f317(f317(f8(f905(x102423,a894),x102421,x102422),f317(f317(f59(x102421,x102423,f75(x102421)),x102424),f72(x102421))),x102425)),f72(x102421)),x102426),f317(f317(f317(f59(x102421,x102423,f75(x102421)),x102424),f72(x102421)),f317(f317(f34(x102422,f905(x102423,a894)),x102426),x102425)))+P1(f317(f317(f319(x102422),f793(x102424,x102425,x102423,x102426,x102422,x102421)),x102426))+~P1(f317(f28(x102423),f317(x102425,f791(x102424,x102425,x102423,x102426,x102422,x102421)))) % 199.88/201.01 [10243]~P78(x102431)+~P1(f317(f28(x102432),x102436))+E(f317(f317(f317(f59(x102431,x102432,f75(x102431)),f317(f317(f8(f905(x102433,a894),x102431,x102432),f317(f317(f59(x102431,x102433,f75(x102431)),x102434),f72(x102431))),x102435)),f72(x102431)),x102436),f317(f317(f317(f59(x102431,x102433,f75(x102431)),x102434),f72(x102431)),f317(f317(f34(x102432,f905(x102433,a894)),x102436),x102435)))+P1(f317(f317(f319(x102432),f792(x102434,x102435,x102433,x102436,x102432,x102431)),x102436))+~P1(f317(f28(x102433),f317(x102435,f791(x102434,x102435,x102433,x102436,x102432,x102431)))) % 199.88/201.01 [10254]~P78(x102541)+~E(f317(f317(f92(f905(x102543,a894)),f317(x102545,f793(x102544,x102545,x102543,x102546,x102542,x102541))),f317(x102545,f792(x102544,x102545,x102543,x102546,x102542,x102541))),f178(f905(x102543,a894)))+~P1(f317(f28(x102542),x102546))+E(f317(f317(f317(f59(x102541,x102542,f75(x102541)),f317(f317(f8(f905(x102543,a894),x102541,x102542),f317(f317(f59(x102541,x102543,f75(x102541)),x102544),f72(x102541))),x102545)),f72(x102541)),x102546),f317(f317(f317(f59(x102541,x102543,f75(x102541)),x102544),f72(x102541)),f317(f317(f34(x102542,f905(x102543,a894)),x102546),x102545)))+P1(f317(f317(f319(x102542),f791(x102544,x102545,x102543,x102546,x102542,x102541)),x102546)) % 199.88/201.01 [10265]~P78(x102651)+~E(f317(f317(f92(f905(x102653,a894)),f317(x102655,f793(x102654,x102655,x102653,x102656,x102652,x102651))),f317(x102655,f792(x102654,x102655,x102653,x102656,x102652,x102651))),f178(f905(x102653,a894)))+~P1(f317(f28(x102652),x102656))+E(f317(f317(f317(f59(x102651,x102652,f75(x102651)),f317(f317(f8(f905(x102653,a894),x102651,x102652),f317(f317(f59(x102651,x102653,f75(x102651)),x102654),f72(x102651))),x102655)),f72(x102651)),x102656),f317(f317(f317(f59(x102651,x102653,f75(x102651)),x102654),f72(x102651)),f317(f317(f34(x102652,f905(x102653,a894)),x102656),x102655)))+~P1(f317(f28(x102653),f317(x102655,f791(x102654,x102655,x102653,x102656,x102652,x102651)))) % 199.88/201.01 [9319]~P121(x93191)+~P118(x93191)+~P1(f317(f317(f277(x93191),x93192),x93195))+~P1(f317(f317(f277(x93191),x93192),f317(f317(f74(x93191),x93193),x93196)))+P1(f317(f317(f277(x93191),x93192),f317(f317(f74(x93191),f317(f317(f23(x93191),x93193),f317(f317(f75(x93191),x93194),x93195))),x93196))) % 199.88/201.01 [9514]~P121(x95141)+~P118(x95141)+~P1(f317(f317(f277(x95141),x95142),x95145))+P1(f317(f317(f277(x95141),x95142),f317(f317(f74(x95141),x95143),x95144)))+~P1(f317(f317(f277(x95141),x95142),f317(f317(f74(x95141),f317(f317(f23(x95141),x95143),f317(f317(f75(x95141),x95146),x95145))),x95144))) % 199.88/201.01 [8924]E(x89241,x89242)+~P56(x89244,x89245,x89246,x89243,x89247)+~E(f317(x89243,x89241),f317(x89243,x89242))+~P1(f317(f317(f319(x89245),x89242),x89247))+~P1(f317(f317(f319(x89245),x89241),x89247)) % 199.88/201.01 [10230]~P1(f317(x102302,x102304))+~E(x102305,f317(f126(x102301,x102302),x102307))+E(f317(f126(x102301,x102302),x102303),f317(f317(f141(x102301),x102304),x102305))+~E(x102303,f317(f317(f124(x102301),x102306),f317(f317(f141(x102301),x102304),x102307)))+P1(f317(x102302,f726(x102305,x102304,x102303,x102302,x102301,x102306,x102307))) % 199.88/201.01 [10231]~P1(f317(x102314,x102312))+~E(x102313,f317(f126(x102311,x102314),x102317))+E(f317(f317(f141(x102311),x102312),x102313),f317(f126(x102311,x102314),x102315))+~E(x102315,f317(f317(f124(x102311),x102316),f317(f317(f141(x102311),x102312),x102317)))+P1(f317(x102314,f724(x102315,x102314,x102313,x102312,x102311,x102316,x102317))) % 199.88/201.01 [10281]~P1(f317(x102812,x102814))+~E(x102815,f317(f126(x102811,x102812),x102817))+E(f317(f126(x102811,x102812),x102813),f317(f317(f141(x102811),x102814),x102815))+~E(x102813,f317(f317(f124(x102811),x102816),f317(f317(f141(x102811),x102814),x102817)))+P1(f317(f317(f319(x102811),f726(x102815,x102814,x102813,x102812,x102811,x102816,x102817)),f317(f162(x102811),x102816))) % 199.88/201.01 [10282]~P1(f317(x102824,x102822))+~E(x102823,f317(f126(x102821,x102824),x102827))+E(f317(f317(f141(x102821),x102822),x102823),f317(f126(x102821,x102824),x102825))+~E(x102825,f317(f317(f124(x102821),x102826),f317(f317(f141(x102821),x102822),x102827)))+P1(f317(f317(f319(x102821),f724(x102825,x102824,x102823,x102822,x102821,x102826,x102827)),f317(f162(x102821),x102826))) % 199.88/201.01 [10286]~P8(x102861,x102867,x102866)+~P11(x102861,f905(x102865,a894),x102866,x102864)+P1(f317(f317(f319(x102861),f438(x102862,x102863,x102864,x102865,x102866,x102867,x102861)),x102867))+~P1(f317(f317(f319(f905(x102861,a894)),x102863),f317(f317(f55(x102861),x102867),x102866)))+P1(f317(f317(f319(f905(x102865,a894)),f317(f317(f34(x102861,f905(x102865,a894)),x102863),x102864)),x102862)) % 199.88/201.01 [10341]~P8(x103412,x103416,x103417)+~P11(x103412,f905(x103411,a894),x103417,x103414)+~P1(f317(f317(f319(f905(x103412,a894)),x103413),f317(f317(f55(x103412),x103416),x103417)))+~P1(f317(f317(f319(f905(x103411,a894)),f317(x103414,f438(x103415,x103413,x103414,x103411,x103417,x103416,x103412))),x103415))+P1(f317(f317(f319(f905(x103411,a894)),f317(f317(f34(x103412,f905(x103411,a894)),x103413),x103414)),x103415)) % 199.88/201.01 [8509]~P78(x85092)+~P24(x85091,x85095,x85098,x85094)+~E(x85093,f317(f67(x85095,x85092,x85091,x85096),x85098))+~E(x85097,f317(f300(x85091,x85095,x85098),x85094))+E(f317(f317(f9(x85091,x85092),x85093),x85094),f317(f317(f9(x85095,x85092),x85096),x85097)) % 199.88/201.01 [10345]~P78(x103452)+~P24(x103455,x103451,x103458,x103457)+~E(f317(x103456,f370(x103453,x103456,x103454,x103457,x103458,x103451,x103455,x103452)),f317(f317(f67(x103451,x103452,x103455,x103453),x103458),f370(x103453,x103456,x103454,x103457,x103458,x103451,x103455,x103452)))+~E(x103454,f317(f300(x103455,x103451,x103458),x103457))+E(f317(f317(f9(x103451,x103452),x103453),x103454),f317(f317(f9(x103455,x103452),x103456),x103457)) % 199.88/201.01 [10348]~P78(x103482)+~P24(x103481,x103485,x103488,x103484)+~E(x103487,f317(f300(x103481,x103485,x103488),x103484))+E(f317(f317(f9(x103481,x103482),x103483),x103484),f317(f317(f9(x103485,x103482),x103486),x103487))+P1(f317(f317(f319(x103481),f370(x103486,x103483,x103487,x103484,x103488,x103485,x103481,x103482)),x103484)) % 199.88/201.01 [10349]~P77(x103492)+~P24(x103491,x103495,x103498,x103494)+~E(x103497,f317(f300(x103491,x103495,x103498),x103494))+E(f317(f317(f6(x103491,x103492),x103493),x103494),f317(f317(f6(x103495,x103492),x103496),x103497))+P1(f317(f317(f319(x103491),f582(x103496,x103493,x103497,x103494,x103498,x103495,x103491,x103492)),x103494)) % 199.88/201.01 [10354]~P77(x103542)+~P24(x103545,x103541,x103548,x103547)+~E(x103544,f317(f300(x103545,x103541,x103548),x103547))+~E(f317(x103546,f582(x103543,x103546,x103544,x103547,x103548,x103541,x103545,x103542)),f317(x103543,f317(x103548,f582(x103543,x103546,x103544,x103547,x103548,x103541,x103545,x103542))))+E(f317(f317(f6(x103541,x103542),x103543),x103544),f317(f317(f6(x103545,x103542),x103546),x103547)) % 199.88/201.01 [9815]~P23(x98156,x98152,x98155,x98157,x98158,x98151)+~P1(f317(f28(x98152),x98154))+~P1(f317(f28(x98152),x98153))+~E(f317(f317(f92(f905(x98152,a894)),x98153),x98154),f178(f905(x98152,a894)))+E(f317(x98151,f317(f317(f91(f905(x98152,a894)),x98153),x98154)),f317(f317(x98155,f317(x98151,x98153)),f317(x98151,x98154))) % 199.88/201.01 [10216]~P23(x102168,x102162,x102165,x102167,x102166,x102161)+~E(f317(x102166,f517(x102164,x102163,x102161,x102166,x102167,x102165,x102162)),x102167)+~P1(f317(f28(x102162),x102163))+~P1(f317(f28(x102162),x102164))+E(f317(x102161,f317(f317(f91(f905(x102162,a894)),x102163),x102164)),f317(f317(x102165,f317(x102161,x102163)),f317(x102161,x102164))) % 199.88/201.01 [10293]~P23(x102938,x102932,x102935,x102937,x102936,x102931)+~P1(f317(f28(x102932),x102933))+~P1(f317(f28(x102932),x102934))+E(f317(x102931,f317(f317(f91(f905(x102932,a894)),x102933),x102934)),f317(f317(x102935,f317(x102931,x102933)),f317(x102931,x102934)))+P1(f317(f317(f319(x102932),f517(x102934,x102933,x102931,x102936,x102937,x102935,x102932)),f317(f317(f92(f905(x102932,a894)),x102933),x102934))) % 199.88/201.01 [9969]~P8(x99694,x99698,x99695)+~P8(x99691,x99699,x99693)+~P12(x99691,x99694,f905(x99692,a894),x99693,x99695,x99697)+P11(x99691,f905(x99692,a894),x99693,f317(f317(f8(f905(x99694,f905(x99692,a894)),f905(x99692,a894),x99691),f317(f34(x99694,f905(x99692,a894)),f317(f275(x99694,x99694,x99695),f317(f317(f299(x99694),x99696),f178(f905(x99694,a894)))))),x99697))+~P1(f317(f317(f319(x99694),x99696),x99698)) % 199.88/201.01 [5488]~P108(x54883)+~P13(x54883,x54881)+E(x54881,f703(x54882,x54883))+~E(f317(f162(x54883),x54881),x54882)+~P1(f317(f28(x54883),x54882))+~P1(f317(f127(x54883),x54881)) % 199.88/201.01 [7359]P15(x73591,x73592)+~E(f317(x73592,f784(x73592)),f317(x73592,f785(x73592)))+~P1(f317(f317(x73592,f784(x73592)),f784(x73592)))+~P1(f317(f317(x73592,f784(x73592)),f785(x73592)))+~P1(f317(f317(x73592,f785(x73592)),f785(x73592)))+~P1(f317(f317(x73592,x73593),x73593)) % 199.88/201.01 [5114]~P127(x51142)+~P129(x51142)+~P130(x51142)+~P115(x51142)+E(x51141,f2(x51142))+~E(f317(f317(f234(x51142),x51141),x51143),f2(x51142)) % 199.88/201.01 [5115]~P127(x51152)+~P129(x51152)+~P130(x51152)+~P115(x51152)+~E(x51151,f2(a898))+~E(f317(f317(f234(x51152),x51153),x51151),f2(x51152)) % 199.88/201.01 [6592]~P88(x65921)+~E(x65923,f2(x65921))+~E(x65922,f2(x65921))+E(f317(f317(f74(x65921),x65922),x65923),f2(x65921))+~P1(f317(f317(f225(x65921),f2(x65921)),x65923))+~P1(f317(f317(f225(x65921),f2(x65921)),x65922)) % 199.88/201.01 [8992]~E(f317(f241(a898,a898),x89923),f2(a898))+~E(x89921,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),x89923)),x89922)),f317(f246(a898,a898),x89923)))+P1(f317(f43(x89921,x89922),x89923))+~P1(f317(f317(f225(a898),f317(f246(a898,a898),x89923)),f2(a898)))+P1(f317(f317(f226(a898),f2(a898)),x89922))+~P1(f317(f317(f226(a898),x89922),f317(f246(a898,a898),x89923))) % 199.88/201.01 [9000]E(x90001,f2(a898))+~E(x90002,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),x90003)),x90001)),f317(f246(a898,a898),x90003)))+P1(f317(f43(x90002,x90001),x90003))+~P1(f317(f317(f226(a898),f2(a898)),x90001))+~P1(f317(f317(f225(a898),f2(a898)),f317(f246(a898,a898),x90003)))+~P1(f317(f317(f226(a898),f317(f246(a898,a898),x90003)),x90001)) % 199.88/201.01 [9018]~E(f317(f241(a898,a898),x90183),f2(a898))+~E(x90181,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),x90183)),x90182)),f317(f246(a898,a898),x90183)))+P1(f317(f43(x90181,x90182),x90183))+~P1(f317(f317(f226(a898),f2(a898)),x90182))+~P1(f317(f317(f225(a898),f2(a898)),f317(f246(a898,a898),x90183)))+~P1(f317(f317(f226(a898),f317(f246(a898,a898),x90183)),x90182)) % 199.88/201.01 [6982]~P108(x69822)+E(x69821,f178(f905(x69822,a894)))+E(x69823,f178(f905(x69822,a894)))+~P1(f317(f28(x69822),x69821))+~P1(f317(f28(x69822),x69823))+E(f14(x69822,f317(f317(f91(f905(x69822,a894)),x69823),x69821)),f317(f317(f229(x69822),f14(x69822,x69823)),f14(x69822,x69821))) % 199.88/201.01 [6983]~P108(x69832)+E(x69831,f178(f905(x69832,a894)))+E(x69833,f178(f905(x69832,a894)))+~P1(f317(f28(x69832),x69831))+~P1(f317(f28(x69832),x69833))+E(f15(x69832,f317(f317(f91(f905(x69832,a894)),x69833),x69831)),f317(f317(f224(x69832),f15(x69832,x69833)),f15(x69832,x69831))) % 199.88/201.01 [6984]~P98(x69842)+E(x69841,f178(f905(x69842,a894)))+E(x69843,f178(f905(x69842,a894)))+~P1(f317(f28(x69842),x69841))+~P1(f317(f28(x69842),x69843))+E(f13(x69842,f317(f317(f91(f905(x69842,a894)),x69843),x69841)),f317(f317(f91(x69842),f13(x69842,x69843)),f13(x69842,x69841))) % 199.88/201.01 [6985]~P98(x69852)+E(x69851,f178(f905(x69852,a894)))+E(x69853,f178(f905(x69852,a894)))+~P1(f317(f28(x69852),x69851))+~P1(f317(f28(x69852),x69853))+E(f10(x69852,f317(f317(f91(f905(x69852,a894)),x69853),x69851)),f317(f317(f92(x69852),f10(x69852,x69853)),f10(x69852,x69851))) % 199.88/201.01 [7629]~P97(x76292)+E(x76291,f178(f905(x76292,a894)))+E(x76293,f178(f905(x76292,a894)))+~P1(f317(f28(x76292),x76291))+~P1(f317(f28(x76292),x76293))+E(f317(f317(f75(x76292),f317(f57(x76292,f75(x76292)),x76293)),f317(f57(x76292,f75(x76292)),x76291)),f317(f57(x76292,f75(x76292)),f317(f317(f91(f905(x76292,a894)),x76293),x76291))) % 199.88/201.01 [7791]~P108(x77912)+E(x77911,f178(f905(x77912,a894)))+E(x77913,f178(f905(x77912,a894)))+~P1(f317(f28(x77912),x77911))+~P1(f317(f28(x77912),x77913))+E(f317(f317(f229(x77912),f11(x77912,f229(x77912),x77913)),f11(x77912,f229(x77912),x77911)),f11(x77912,f229(x77912),f317(f317(f91(f905(x77912,a894)),x77913),x77911))) % 199.88/201.01 [7792]~P108(x77922)+E(x77921,f178(f905(x77922,a894)))+E(x77923,f178(f905(x77922,a894)))+~P1(f317(f28(x77922),x77921))+~P1(f317(f28(x77922),x77923))+E(f317(f317(f224(x77922),f12(x77922,f224(x77922),x77923)),f12(x77922,f224(x77922),x77921)),f12(x77922,f224(x77922),f317(f317(f91(f905(x77922,a894)),x77923),x77921))) % 199.88/201.01 [8825]~P1(f317(x88251,x88253))+P1(f317(x88251,f407(x88251,x88252)))+P1(f317(x88251,f404(x88251,x88252)))+~P1(f317(f317(f226(a1),f2(a1)),x88252))+~P1(f317(f317(f319(a1),x88253),f293(a1,f72(a1),x88252)))+P1(f317(x88251,f317(f317(f23(a1),f404(x88251,x88252)),f317(f317(f75(a1),f406(x88251,x88252)),x88252)))) % 199.88/201.01 [9127]~P1(f317(x91271,x91273))+~P1(f317(x91271,f404(x91271,x91272)))+P1(f317(x91271,f407(x91271,x91272)))+~P1(f317(f317(f226(a1),f2(a1)),x91272))+~P1(f317(f317(f319(a1),x91273),f293(a1,f72(a1),x91272)))+~P1(f317(x91271,f317(f317(f23(a1),f404(x91271,x91272)),f317(f317(f75(a1),f406(x91271,x91272)),x91272)))) % 199.88/201.01 [10381]~P101(x103812)+E(x103811,f178(f905(x103812,a894)))+E(x103813,f178(f905(x103812,a894)))+~P1(f317(f28(x103812),x103811))+~P1(f317(f28(x103812),x103813))+E(f10(x103812,f317(f252(x103812),f317(f317(f8(f905(x103812,a894),a894,x103812),f81(x103812)),f317(f317(f8(f905(x103812,f905(x103812,a894)),f905(x103812,a894),x103812),f317(f8(f905(x103812,a894),a894,x103812),f81(x103812))),f317(f317(f7(x103812,f905(x103812,f905(x103812,a894)),f905(x103812,f905(x103812,a894))),f317(f317(f8(f905(x103812,f905(f905(x103812,a894),f905(x103812,a894))),f905(f905(x103812,f905(x103812,a894)),f905(x103812,f905(x103812,a894))),x103812),f18(x103812,f905(x103812,a894),f905(x103812,a894))),f317(f317(f8(f905(x103812,f905(x103812,f905(a894,a894))),f905(x103812,f905(f905(x103812,a894),f905(x103812,a894))),x103812),f317(f8(f905(x103812,f905(a894,a894)),f905(f905(x103812,a894),f905(x103812,a894)),x103812),f18(x103812,a894,a894))),f317(f317(f8(f905(x103812,f905(x103812,a894)),f905(x103812,f905(x103812,f905(a894,a894))),x103812),f317(f8(f905(x103812,a894),f905(x103812,f905(a894,a894)),x103812),f317(f8(a894,f905(a894,a894),x103812),a315))),f317(f317(f7(x103812,f905(x103812,f905(x103812,x103812)),f905(x103812,f905(x103812,a894))),f317(f317(f8(f905(f905(x103812,x103812),f905(x103812,a894)),f905(f905(x103812,f905(x103812,x103812)),f905(x103812,f905(x103812,a894))),x103812),f8(f905(x103812,x103812),f905(x103812,a894),x103812)),f317(f317(f8(f905(x103812,a894),f905(f905(x103812,x103812),f905(x103812,a894)),x103812),f8(x103812,a894,x103812)),a314))),f91(x103812)))))),f317(f317(f7(x103812,f905(x103812,a894),f905(x103812,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x103812,a894),f905(x103812,a894)),x103812),f8(a894,a894,x103812)),f317(f317(f8(a894,f905(a894,a894),x103812),a315),f317(f317(f7(x103812,f905(x103812,a894),a894),f319(x103812)),x103813)))),f317(f317(f7(x103812,f905(x103812,a894),a894),f319(x103812)),x103811))))))),f317(f317(f91(x103812),f10(x103812,x103813)),f10(x103812,x103811))) % 199.88/201.01 [10382]~P101(x103822)+E(x103821,f178(f905(x103822,a894)))+E(x103823,f178(f905(x103822,a894)))+~P1(f317(f28(x103822),x103821))+~P1(f317(f28(x103822),x103823))+E(f13(x103822,f317(f252(x103822),f317(f317(f8(f905(x103822,a894),a894,x103822),f81(x103822)),f317(f317(f8(f905(x103822,f905(x103822,a894)),f905(x103822,a894),x103822),f317(f8(f905(x103822,a894),a894,x103822),f81(x103822))),f317(f317(f7(x103822,f905(x103822,f905(x103822,a894)),f905(x103822,f905(x103822,a894))),f317(f317(f8(f905(x103822,f905(f905(x103822,a894),f905(x103822,a894))),f905(f905(x103822,f905(x103822,a894)),f905(x103822,f905(x103822,a894))),x103822),f18(x103822,f905(x103822,a894),f905(x103822,a894))),f317(f317(f8(f905(x103822,f905(x103822,f905(a894,a894))),f905(x103822,f905(f905(x103822,a894),f905(x103822,a894))),x103822),f317(f8(f905(x103822,f905(a894,a894)),f905(f905(x103822,a894),f905(x103822,a894)),x103822),f18(x103822,a894,a894))),f317(f317(f8(f905(x103822,f905(x103822,a894)),f905(x103822,f905(x103822,f905(a894,a894))),x103822),f317(f8(f905(x103822,a894),f905(x103822,f905(a894,a894)),x103822),f317(f8(a894,f905(a894,a894),x103822),a315))),f317(f317(f7(x103822,f905(x103822,f905(x103822,x103822)),f905(x103822,f905(x103822,a894))),f317(f317(f8(f905(f905(x103822,x103822),f905(x103822,a894)),f905(f905(x103822,f905(x103822,x103822)),f905(x103822,f905(x103822,a894))),x103822),f8(f905(x103822,x103822),f905(x103822,a894),x103822)),f317(f317(f8(f905(x103822,a894),f905(f905(x103822,x103822),f905(x103822,a894)),x103822),f8(x103822,a894,x103822)),a314))),f92(x103822)))))),f317(f317(f7(x103822,f905(x103822,a894),f905(x103822,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x103822,a894),f905(x103822,a894)),x103822),f8(a894,a894,x103822)),f317(f317(f8(a894,f905(a894,a894),x103822),a315),f317(f317(f7(x103822,f905(x103822,a894),a894),f319(x103822)),x103823)))),f317(f317(f7(x103822,f905(x103822,a894),a894),f319(x103822)),x103821))))))),f317(f317(f92(x103822),f13(x103822,x103823)),f13(x103822,x103821))) % 199.88/201.01 [10383]~P108(x103832)+E(x103831,f178(f905(x103832,a894)))+E(x103833,f178(f905(x103832,a894)))+~P1(f317(f28(x103832),x103831))+~P1(f317(f28(x103832),x103833))+E(f12(x103832,f224(x103832),f317(f252(x103832),f317(f317(f8(f905(x103832,a894),a894,x103832),f81(x103832)),f317(f317(f8(f905(x103832,f905(x103832,a894)),f905(x103832,a894),x103832),f317(f8(f905(x103832,a894),a894,x103832),f81(x103832))),f317(f317(f7(x103832,f905(x103832,f905(x103832,a894)),f905(x103832,f905(x103832,a894))),f317(f317(f8(f905(x103832,f905(f905(x103832,a894),f905(x103832,a894))),f905(f905(x103832,f905(x103832,a894)),f905(x103832,f905(x103832,a894))),x103832),f18(x103832,f905(x103832,a894),f905(x103832,a894))),f317(f317(f8(f905(x103832,f905(x103832,f905(a894,a894))),f905(x103832,f905(f905(x103832,a894),f905(x103832,a894))),x103832),f317(f8(f905(x103832,f905(a894,a894)),f905(f905(x103832,a894),f905(x103832,a894)),x103832),f18(x103832,a894,a894))),f317(f317(f8(f905(x103832,f905(x103832,a894)),f905(x103832,f905(x103832,f905(a894,a894))),x103832),f317(f8(f905(x103832,a894),f905(x103832,f905(a894,a894)),x103832),f317(f8(a894,f905(a894,a894),x103832),a315))),f317(f317(f7(x103832,f905(x103832,f905(x103832,x103832)),f905(x103832,f905(x103832,a894))),f317(f317(f8(f905(f905(x103832,x103832),f905(x103832,a894)),f905(f905(x103832,f905(x103832,x103832)),f905(x103832,f905(x103832,a894))),x103832),f8(f905(x103832,x103832),f905(x103832,a894),x103832)),f317(f317(f8(f905(x103832,a894),f905(f905(x103832,x103832),f905(x103832,a894)),x103832),f8(x103832,a894,x103832)),a314))),f229(x103832)))))),f317(f317(f7(x103832,f905(x103832,a894),f905(x103832,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x103832,a894),f905(x103832,a894)),x103832),f8(a894,a894,x103832)),f317(f317(f8(a894,f905(a894,a894),x103832),a315),f317(f317(f7(x103832,f905(x103832,a894),a894),f319(x103832)),x103833)))),f317(f317(f7(x103832,f905(x103832,a894),a894),f319(x103832)),x103831))))))),f317(f317(f229(x103832),f12(x103832,f224(x103832),x103833)),f12(x103832,f224(x103832),x103831))) % 199.88/201.01 [10384]~P108(x103842)+E(x103841,f178(f905(x103842,a894)))+E(x103843,f178(f905(x103842,a894)))+~P1(f317(f28(x103842),x103841))+~P1(f317(f28(x103842),x103843))+E(f11(x103842,f229(x103842),f317(f252(x103842),f317(f317(f8(f905(x103842,a894),a894,x103842),f81(x103842)),f317(f317(f8(f905(x103842,f905(x103842,a894)),f905(x103842,a894),x103842),f317(f8(f905(x103842,a894),a894,x103842),f81(x103842))),f317(f317(f7(x103842,f905(x103842,f905(x103842,a894)),f905(x103842,f905(x103842,a894))),f317(f317(f8(f905(x103842,f905(f905(x103842,a894),f905(x103842,a894))),f905(f905(x103842,f905(x103842,a894)),f905(x103842,f905(x103842,a894))),x103842),f18(x103842,f905(x103842,a894),f905(x103842,a894))),f317(f317(f8(f905(x103842,f905(x103842,f905(a894,a894))),f905(x103842,f905(f905(x103842,a894),f905(x103842,a894))),x103842),f317(f8(f905(x103842,f905(a894,a894)),f905(f905(x103842,a894),f905(x103842,a894)),x103842),f18(x103842,a894,a894))),f317(f317(f8(f905(x103842,f905(x103842,a894)),f905(x103842,f905(x103842,f905(a894,a894))),x103842),f317(f8(f905(x103842,a894),f905(x103842,f905(a894,a894)),x103842),f317(f8(a894,f905(a894,a894),x103842),a315))),f317(f317(f7(x103842,f905(x103842,f905(x103842,x103842)),f905(x103842,f905(x103842,a894))),f317(f317(f8(f905(f905(x103842,x103842),f905(x103842,a894)),f905(f905(x103842,f905(x103842,x103842)),f905(x103842,f905(x103842,a894))),x103842),f8(f905(x103842,x103842),f905(x103842,a894),x103842)),f317(f317(f8(f905(x103842,a894),f905(f905(x103842,x103842),f905(x103842,a894)),x103842),f8(x103842,a894,x103842)),a314))),f224(x103842)))))),f317(f317(f7(x103842,f905(x103842,a894),f905(x103842,a894)),f317(f317(f8(f905(a894,a894),f905(f905(x103842,a894),f905(x103842,a894)),x103842),f8(a894,a894,x103842)),f317(f317(f8(a894,f905(a894,a894),x103842),a315),f317(f317(f7(x103842,f905(x103842,a894),a894),f319(x103842)),x103843)))),f317(f317(f7(x103842,f905(x103842,a894),a894),f319(x103842)),x103841))))))),f317(f317(f224(x103842),f11(x103842,f229(x103842),x103843)),f11(x103842,f229(x103842),x103841))) % 199.88/201.01 [7315]~P110(x73153)+E(x73151,x73152)+~E(f317(f317(f234(x73153),x73151),x73154),f317(f317(f234(x73153),x73152),x73154))+~P1(f317(f317(f225(x73153),f2(x73153)),x73152))+~P1(f317(f317(f225(x73153),f2(x73153)),x73151))+~P1(f317(f317(f226(a898),f2(a898)),x73154)) % 199.88/201.01 [7588]~P108(x75882)+E(x75881,f178(f905(x75882,a894)))+~P1(f317(f28(x75882),x75881))+~P1(f317(f317(f319(x75882),x75884),x75881))+P1(f317(f317(f225(x75882),x75883),x75884))+~P1(f317(f317(f225(x75882),x75883),f317(f57(x75882,f229(x75882)),x75881))) % 199.88/201.01 [7589]~P104(x75892)+E(x75891,f178(f905(x75892,a894)))+~P1(f317(f28(x75892),x75891))+~P1(f317(f317(f319(x75892),x75894),x75891))+P1(f317(f317(f225(x75892),x75893),x75894))+~P1(f317(f317(f225(x75892),x75893),f317(f57(x75892,f92(x75892)),x75891))) % 199.88/201.01 [7590]~P108(x75902)+E(x75901,f178(f905(x75902,a894)))+~P1(f317(f28(x75902),x75901))+~P1(f317(f317(f319(x75902),x75904),x75901))+P1(f317(f317(f226(x75902),x75903),x75904))+~P1(f317(f317(f226(x75902),x75903),f317(f57(x75902,f229(x75902)),x75901))) % 199.88/201.01 [7495]E(x74951,f2(a1))+E(f317(f317(f30(a1),x74952),x74951),x74953)+~P1(f317(f317(f225(a1),x74954),f2(a1)))+~E(x74952,f317(f317(f74(a1),f317(f317(f75(a1),x74951),x74953)),x74954))+P1(f317(f317(f226(a1),f2(a1)),x74951))+~P1(f317(f317(f226(a1),x74951),x74954)) % 199.88/201.01 [7512]E(f40(a1,x75122,x75121),x75123)+E(x75121,f2(a1))+~P1(f317(f317(f225(a1),x75123),f2(a1)))+~E(x75122,f317(f317(f74(a1),f317(f317(f75(a1),x75121),x75124)),x75123))+P1(f317(f317(f226(a1),f2(a1)),x75121))+~P1(f317(f317(f226(a1),x75121),x75123)) % 199.88/201.01 [7628]E(x76281,f2(a1))+E(f317(f317(f30(a1),x76282),x76281),x76283)+~E(x76282,f317(f317(f74(a1),f317(f317(f75(a1),x76281),x76283)),x76284))+~P1(f317(f317(f225(a1),f2(a1)),x76284))+~P1(f317(f317(f226(a1),f2(a1)),x76281))+~P1(f317(f317(f226(a1),x76284),x76281)) % 199.88/201.01 [7651]E(f40(a1,x76512,x76511),x76513)+E(x76511,f2(a1))+~E(x76512,f317(f317(f74(a1),f317(f317(f75(a1),x76511),x76514)),x76513))+~P1(f317(f317(f225(a1),f2(a1)),x76513))+~P1(f317(f317(f226(a1),f2(a1)),x76511))+~P1(f317(f317(f226(a1),x76513),x76511)) % 199.88/201.01 [7795]~P108(x77952)+E(x77951,f178(f905(x77952,a894)))+~P1(f317(f28(x77952),x77951))+~P1(f317(f317(f319(x77952),x77954),x77951))+~P1(f317(f317(f225(x77952),x77954),x77953))+P1(f317(f317(f225(x77952),f317(f57(x77952,f229(x77952)),x77951)),x77953)) % 199.88/201.01 [7796]~P108(x77962)+E(x77961,f178(f905(x77962,a894)))+~P1(f317(f28(x77962),x77961))+~P1(f317(f317(f226(x77962),x77964),x77963))+~P1(f317(f317(f319(x77962),x77964),x77961))+P1(f317(f317(f226(x77962),f317(f57(x77962,f229(x77962)),x77961)),x77963)) % 199.88/201.01 [8361]~P1(f317(f317(f225(a1),x83614),f2(a1)))+~E(x83611,f317(f317(f74(a1),f317(f317(f75(a1),x83612),x83613)),x83614))+~P1(f317(f317(f225(a1),f2(a1)),x83614))+~P1(f317(f317(f226(a1),x83614),x83612))+~P1(f317(f317(f226(a1),x83612),x83614))+P1(f317(f44(x83611,x83612),f317(f317(f242(a1,a1),x83613),x83614))) % 199.88/201.01 [8529]~P109(x85291)+P1(f317(f317(f226(f905(x85291,a894)),f293(x85291,x85292,x85293)),f293(x85291,x85294,x85295)))+~P1(f317(f317(f225(x85291),x85294),x85292))+~P1(f317(f317(f225(x85291),x85294),x85295))+~P1(f317(f317(f225(x85291),x85293),x85295))+~P1(f317(f317(f226(x85291),x85293),x85295)) % 199.88/201.01 [8530]~P109(x85301)+P1(f317(f317(f226(f905(x85301,a894)),f293(x85301,x85302,x85303)),f293(x85301,x85304,x85305)))+~P1(f317(f317(f225(x85301),x85303),x85305))+~P1(f317(f317(f225(x85301),x85304),x85305))+~P1(f317(f317(f225(x85301),x85304),x85302))+~P1(f317(f317(f226(x85301),x85304),x85302)) % 199.88/201.01 [9393]P58(x93932,x93933,x93934,x93931)+E(x93931,f178(f905(x93932,a894)))+~P1(f317(f28(x93932),x93934))+~P1(f317(f28(x93932),x93931))+~P1(f317(f317(x93933,f482(x93931,x93934,x93933,x93932)),x93935))+~P1(f317(f317(f319(x93932),x93935),x93931)) % 199.88/201.01 [9394]P58(x93942,x93943,x93944,x93941)+E(x93941,f178(f905(x93942,a894)))+~P1(f317(f28(x93942),x93944))+~P1(f317(f28(x93942),x93941))+~P1(f317(f317(x93943,f776(x93943,x93941,x93944,x93942)),x93945))+~P1(f317(f317(f319(x93942),x93945),x93941)) % 199.88/201.01 [9395]P58(x93952,x93953,x93954,x93951)+E(x93951,f178(f905(x93952,a894)))+~P1(f317(f28(x93952),x93954))+~P1(f317(f28(x93952),x93951))+~P1(f317(f317(x93953,f778(x93951,x93954,x93953,x93952)),x93955))+~P1(f317(f317(f319(x93952),x93955),x93951)) % 199.88/201.01 [9543]~E(x95433,x95435)+~P77(x95431)+~P78(x95431)+~P39(x95433)+E(f317(f317(f9(a1,x95431),x95432),x95433),f317(f317(f9(a1,x95431),x95434),x95435))+P1(f317(f317(f225(a1),f2(a1)),f461(x95432,x95434,x95433,x95435,x95431))) % 199.88/201.01 [9544]~E(x95443,x95445)+~P77(x95441)+~P78(x95441)+~P39(x95443)+E(f317(f317(f6(a1,x95441),x95442),x95443),f317(f317(f6(a1,x95441),x95444),x95445))+P1(f317(f317(f225(a1),f2(a1)),f462(x95442,x95444,x95443,x95445,x95441))) % 199.88/201.01 [9725]~E(x97255,x97253)+~P77(x97251)+~P78(x97251)+~P39(x97255)+~E(f317(x97252,f461(x97254,x97252,x97255,x97253,x97251)),f317(x97254,f461(x97254,x97252,x97255,x97253,x97251)))+E(f317(f317(f9(a1,x97251),x97252),x97253),f317(f317(f9(a1,x97251),x97254),x97255)) % 199.88/201.01 [9726]~E(x97265,x97263)+~P77(x97261)+~P78(x97261)+~P39(x97265)+~E(f317(x97262,f462(x97264,x97262,x97265,x97263,x97261)),f317(x97264,f462(x97264,x97262,x97265,x97263,x97261)))+E(f317(f317(f6(a1,x97261),x97262),x97263),f317(f317(f6(a1,x97261),x97264),x97265)) % 199.88/201.01 [9813]~P67(x98133)+E(f317(x98131,x98132),f2(x98133))+~E(f317(f317(f6(x98134,x98133),x98131),x98135),f2(x98133))+~P1(f317(f28(x98134),x98135))+P1(f317(f317(f319(x98134),f427(x98132,x98131,x98135,x98134,x98133)),x98135))+~P1(f317(f317(f319(x98134),x98132),x98135)) % 199.88/201.01 [9940]~P67(x99403)+E(f317(x99401,x99402),f2(x99403))+~E(f317(f317(f6(x99404,x99403),x99401),x99405),f2(x99403))+~P1(f317(f28(x99404),x99405))+~P1(f317(f317(f319(x99404),x99402),x99405))+~P1(f317(f317(f225(x99403),f2(x99403)),f317(x99401,f427(x99402,x99401,x99405,x99404,x99403)))) % 199.88/201.01 [8446]~P138(x84461)+~P1(f317(f317(f225(x84461),x84463),x84465))+~P1(f317(f317(f225(x84461),x84462),x84464))+~P1(f317(f317(f225(x84461),f2(x84461)),x84463))+~P1(f317(f317(f225(x84461),f2(x84461)),x84464))+P1(f317(f317(f225(x84461),f317(f317(f75(x84461),x84462),x84463)),f317(f317(f75(x84461),x84464),x84465))) % 199.88/201.01 [8447]~P138(x84471)+~P1(f317(f317(f225(x84471),x84473),x84475))+~P1(f317(f317(f225(x84471),x84472),x84474))+~P1(f317(f317(f225(x84471),f2(x84471)),x84473))+~P1(f317(f317(f225(x84471),f2(x84471)),x84472))+P1(f317(f317(f225(x84471),f317(f317(f75(x84471),x84472),x84473)),f317(f317(f75(x84471),x84474),x84475))) % 199.88/201.01 [8448]~P64(x84481)+~P1(f317(f317(f226(x84481),f2(x84481)),x84485))+~P1(f317(f317(f225(x84481),x84485),x84483))+~P1(f317(f317(f225(x84481),x84482),x84484))+~P1(f317(f317(f225(x84481),f2(x84481)),x84482))+P1(f317(f317(f225(x84481),f317(f317(f281(x84481),x84482),x84483)),f317(f317(f281(x84481),x84484),x84485))) % 199.88/201.01 [8449]~P131(x84491)+~P1(f317(f317(f225(x84491),x84493),x84495))+~P1(f317(f317(f225(x84491),f2(x84491)),x84492))+~P1(f317(f317(f226(x84491),x84492),x84494))+~P1(f317(f317(f226(x84491),f2(x84491)),x84493))+P1(f317(f317(f226(x84491),f317(f317(f75(x84491),x84492),x84493)),f317(f317(f75(x84491),x84494),x84495))) % 199.88/201.01 [8450]~P131(x84501)+~P1(f317(f317(f225(x84501),x84502),x84504))+~P1(f317(f317(f225(x84501),f2(x84501)),x84503))+~P1(f317(f317(f226(x84501),x84503),x84505))+~P1(f317(f317(f226(x84501),f2(x84501)),x84502))+P1(f317(f317(f226(x84501),f317(f317(f75(x84501),x84502),x84503)),f317(f317(f75(x84501),x84504),x84505))) % 199.88/201.01 [8451]~P131(x84511)+~P1(f317(f317(f225(x84511),f2(x84511)),x84513))+~P1(f317(f317(f225(x84511),f2(x84511)),x84512))+~P1(f317(f317(f226(x84511),x84513),x84515))+~P1(f317(f317(f226(x84511),x84512),x84514))+P1(f317(f317(f226(x84511),f317(f317(f75(x84511),x84512),x84513)),f317(f317(f75(x84511),x84514),x84515))) % 199.88/201.01 [8452]~P131(x84521)+~P1(f317(f317(f225(x84521),f2(x84521)),x84523))+~P1(f317(f317(f226(x84521),x84523),x84525))+~P1(f317(f317(f226(x84521),x84522),x84524))+~P1(f317(f317(f226(x84521),f2(x84521)),x84524))+P1(f317(f317(f226(x84521),f317(f317(f75(x84521),x84522),x84523)),f317(f317(f75(x84521),x84524),x84525))) % 199.88/201.01 [8453]~P64(x84531)+~P1(f317(f317(f225(x84531),x84535),x84533))+~P1(f317(f317(f225(x84531),f2(x84531)),x84532))+~P1(f317(f317(f226(x84531),x84532),x84534))+~P1(f317(f317(f226(x84531),f2(x84531)),x84535))+P1(f317(f317(f226(x84531),f317(f317(f281(x84531),x84532),x84533)),f317(f317(f281(x84531),x84534),x84535))) % 199.88/201.01 [8454]~P64(x84541)+~P1(f317(f317(f225(x84541),x84542),x84544))+~P1(f317(f317(f226(x84541),x84545),x84543))+~P1(f317(f317(f226(x84541),f2(x84541)),x84545))+~P1(f317(f317(f226(x84541),f2(x84541)),x84542))+P1(f317(f317(f226(x84541),f317(f317(f281(x84541),x84542),x84543)),f317(f317(f281(x84541),x84544),x84545))) % 199.88/201.01 [9856]~P86(x98565)+~P77(x98565)+E(x98561,f178(f905(x98562,a894)))+~P1(f317(f28(x98562),x98561))+P1(f317(f317(f319(x98562),f457(x98563,x98564,x98561,x98562,x98565)),x98561))+P1(f317(f317(f226(x98565),f317(f317(f6(x98562,x98565),x98564),x98561)),f317(f317(f6(x98562,x98565),x98563),x98561))) % 199.88/201.01 [9965]~P84(x99651)+~P77(x99651)+~P1(f317(f28(x99652),x99655))+~P1(f317(f317(f225(x99651),f2(x99651)),f317(x99653,f423(x99653,x99654,x99655,x99652,x99651))))+P1(f317(f317(f225(x99651),f317(f317(f6(x99652,x99651),x99653),x99654)),f317(f317(f6(x99652,x99651),x99653),x99655)))+~P1(f317(f317(f225(f905(x99652,a894)),x99654),x99655)) % 199.88/201.01 [10134]~P86(x101343)+~P77(x101343)+E(x101341,f178(f905(x101342,a894)))+~P1(f317(f28(x101342),x101341))+~P1(f317(f317(f226(x101343),f317(x101344,f457(x101345,x101344,x101341,x101342,x101343))),f317(x101345,f457(x101345,x101344,x101341,x101342,x101343))))+P1(f317(f317(f226(x101343),f317(f317(f6(x101342,x101343),x101344),x101341)),f317(f317(f6(x101342,x101343),x101345),x101341))) % 199.88/201.01 [7171]~P17(x71712,x71715,x71714)+E(x71711,f178(f905(x71712,a894)))+E(x71713,f178(f905(x71712,a894)))+~P1(f317(f28(x71712),x71711))+~P1(f317(f28(x71712),x71713))+E(f317(x71714,f317(f317(f91(f905(x71712,a894)),x71713),x71711)),f317(f317(x71715,f317(x71714,x71713)),f317(x71714,x71711))) % 199.88/201.01 [7761]~P148(x77611,x77614,x77613)+P1(f317(x77611,x77612))+~P1(f317(f317(f226(a1),x77614),f2(a1)))+~P1(f317(f317(f225(a1),x77615),f2(a1)))+~E(x77613,f317(f317(f74(a1),f317(f317(f75(a1),x77614),x77612)),x77615))+~P1(f317(f317(f226(a1),x77614),x77615)) % 199.88/201.01 [7762]~P147(x77621,x77624,x77623)+P1(f317(x77621,x77622))+~P1(f317(f317(f226(a1),x77624),f2(a1)))+~P1(f317(f317(f225(a1),x77622),f2(a1)))+~E(x77623,f317(f317(f74(a1),f317(f317(f75(a1),x77624),x77625)),x77622))+~P1(f317(f317(f226(a1),x77624),x77622)) % 199.88/201.01 [7804]~P148(x78041,x78044,x78043)+P1(f317(x78041,x78042))+~E(x78043,f317(f317(f74(a1),f317(f317(f75(a1),x78044),x78042)),x78045))+~P1(f317(f317(f225(a1),f2(a1)),x78045))+~P1(f317(f317(f226(a1),f2(a1)),x78044))+~P1(f317(f317(f226(a1),x78045),x78044)) % 199.88/201.01 [7805]~P147(x78051,x78054,x78053)+P1(f317(x78051,x78052))+~E(x78053,f317(f317(f74(a1),f317(f317(f75(a1),x78054),x78055)),x78052))+~P1(f317(f317(f225(a1),f2(a1)),x78052))+~P1(f317(f317(f226(a1),f2(a1)),x78054))+~P1(f317(f317(f226(a1),x78052),x78054)) % 199.88/201.01 [8738]P1(f317(f317(x87381,x87382),x87383))+~P1(f317(f317(x87381,f317(f317(f30(a1),x87384),x87385)),f40(a1,x87384,x87385)))+~P1(f317(f317(f226(a1),x87385),f2(a1)))+~P1(f317(f317(f225(a1),x87383),f2(a1)))+~E(x87384,f317(f317(f74(a1),f317(f317(f75(a1),x87385),x87382)),x87383))+~P1(f317(f317(f226(a1),x87385),x87383)) % 199.88/201.01 [8747]P1(f317(f317(x87471,x87472),x87473))+~P1(f317(f317(x87471,f317(f317(f30(a1),x87474),x87475)),f40(a1,x87474,x87475)))+~E(x87474,f317(f317(f74(a1),f317(f317(f75(a1),x87475),x87472)),x87473))+~P1(f317(f317(f225(a1),f2(a1)),x87473))+~P1(f317(f317(f226(a1),f2(a1)),x87475))+~P1(f317(f317(f226(a1),x87473),x87475)) % 199.88/201.01 [9008]E(x90081,x90082)+~P55(x90083,x90085,x90084)+~P1(f317(f317(f319(x90083),x90082),x90085))+~P1(f317(f317(f319(x90083),x90081),x90085))+P1(f317(f317(f319(f904(x90083,x90083)),f317(f317(f242(x90083,x90083),x90081),x90082)),x90084))+P1(f317(f317(f319(f904(x90083,x90083)),f317(f317(f242(x90083,x90083),x90082),x90081)),x90084)) % 199.88/201.01 [9883]~P84(x98835)+~P77(x98835)+~P1(f317(f28(x98831),x98834))+P1(f317(f317(f225(x98835),f317(f317(f6(x98831,x98835),x98832),x98833)),f317(f317(f6(x98831,x98835),x98832),x98834)))+~P1(f317(f317(f225(f905(x98831,a894)),x98833),x98834))+P1(f317(f317(f319(x98831),f423(x98832,x98833,x98834,x98831,x98835)),f317(f317(f23(f905(x98831,a894)),x98834),x98833))) % 199.88/201.01 [9973]E(x99731,f178(f905(x99732,a894)))+~P1(f317(f28(x99732),x99733))+~P1(f317(f28(x99732),x99731))+P1(f317(f317(f319(f904(f905(x99732,a894),f905(x99732,a894))),f317(f317(f242(f905(x99732,a894),f905(x99732,a894)),x99733),x99731)),f308(x99732,x99734)))+~P1(f317(f317(f319(x99732),x99735),x99731))+~P1(f317(f317(f319(f904(x99732,x99732)),f317(f317(f242(x99732,x99732),f484(x99734,x99731,x99733,x99732)),x99735)),x99734)) % 199.88/201.01 [9974]E(x99741,f178(f905(x99742,a894)))+~P1(f317(f28(x99742),x99743))+~P1(f317(f28(x99742),x99741))+P1(f317(f317(f319(f904(f905(x99742,a894),f905(x99742,a894))),f317(f317(f242(f905(x99742,a894),f905(x99742,a894)),x99743),x99741)),f308(x99742,x99744)))+~P1(f317(f317(f319(x99742),x99745),x99741))+~P1(f317(f317(f319(f904(x99742,x99742)),f317(f317(f242(x99742,x99742),f570(x99744,x99741,x99743,x99742)),x99745)),x99744)) % 199.88/201.01 [10138]~P67(x101381)+~E(f317(f317(f6(x101385,x101381),x101382),x101386),x101384)+~P1(f317(f28(x101385),x101386))+P1(f317(f317(f319(x101385),f451(x101383,x101384,x101382,x101386,x101385,x101381)),x101386))+P1(f317(f317(f225(x101381),f317(x101382,x101383)),x101384))+~P1(f317(f317(f319(x101385),x101383),x101386)) % 199.88/201.01 [10186]~P67(x101861)+~E(f317(f317(f6(x101865,x101861),x101862),x101866),x101864)+~P1(f317(f28(x101865),x101866))+~P1(f317(f317(f319(x101865),x101863),x101866))+~P1(f317(f317(f225(x101861),f2(x101861)),f317(x101862,f451(x101863,x101864,x101862,x101866,x101865,x101861))))+P1(f317(f317(f225(x101861),f317(x101862,x101863)),x101864)) % 199.88/201.01 [10328]~E(x103285,x103288)+~E(x103284,x103287)+~P107(x103281)+~P77(x103282)+E(f317(f317(f6(x103281,x103282),x103283),f317(f292(x103281,x103284),x103285)),f317(f317(f6(x103281,x103282),x103286),f317(f292(x103281,x103287),x103288)))+P1(f317(f317(f225(x103281),x103284),f581(x103283,x103286,x103285,x103288,x103284,x103287,x103281,x103282))) % 199.88/201.01 [10344]~E(x103447,x103444)+~E(x103448,x103445)+~P107(x103441)+~P77(x103442)+~E(f317(x103443,f581(x103446,x103443,x103448,x103445,x103447,x103444,x103441,x103442)),f317(x103446,f581(x103446,x103443,x103448,x103445,x103447,x103444,x103441,x103442)))+E(f317(f317(f6(x103441,x103442),x103443),f317(f292(x103441,x103444),x103445)),f317(f317(f6(x103441,x103442),x103446),f317(f292(x103441,x103447),x103448))) % 199.88/201.01 [10347]~E(x103474,x103477)+~E(x103475,x103478)+~P107(x103471)+~P77(x103472)+E(f317(f317(f6(x103471,x103472),x103473),f317(f292(x103471,x103474),x103475)),f317(f317(f6(x103471,x103472),x103476),f317(f292(x103471,x103477),x103478)))+P1(f317(f317(f226(x103471),f581(x103473,x103476,x103475,x103478,x103474,x103477,x103471,x103472)),x103475)) % 199.88/201.01 [9980]~P8(x99805,x99809,x99806)+~P8(x99801,x998010,x99803)+~P12(x99801,x99805,f905(x99802,a894),x99803,x99806,x99808)+~P1(f317(f317(f319(x99805),x99807),x99809))+~P1(f317(f317(f319(x99801),x99804),x998010))+E(f317(f317(f34(x99801,f905(x99802,a894)),f317(f275(x99801,x99801,x99803),f317(f317(f299(x99801),x99804),f178(f905(x99801,a894))))),f317(f317(f8(f905(x99805,f905(x99802,a894)),f905(x99802,a894),x99801),f317(f34(x99805,f905(x99802,a894)),f317(f275(x99805,x99805,x99806),f317(f317(f299(x99805),x99807),f178(f905(x99805,a894)))))),x99808)),f317(f317(x99808,x99804),x99807)) % 199.88/201.01 [5661]~P108(x56613)+~P13(x56613,x56612)+~P13(x56613,x56611)+E(x56611,x56612)+~E(f317(f162(x56613),x56611),f317(f162(x56613),x56612))+~P1(f317(f127(x56613),x56612))+~P1(f317(f127(x56613),x56611)) % 199.88/201.01 [4988]~P127(x49882)+~P129(x49882)+~P130(x49882)+~P115(x49882)+~E(x49883,f2(x49882))+E(x49881,f2(a898))+E(f317(f317(f234(x49882),x49883),x49881),f2(x49882)) % 199.88/201.01 [9265]E(x92651,f2(a898))+~E(x92652,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),x92653)),x92651)),f317(f246(a898,a898),x92653)))+P1(f317(f43(x92652,x92651),x92653))+~P1(f317(f317(f225(a898),f317(f246(a898,a898),x92653)),f2(a898)))+~P1(f317(f317(f225(a898),f2(a898)),f317(f246(a898,a898),x92653)))+~P1(f317(f317(f226(a898),x92651),f317(f246(a898,a898),x92653)))+~P1(f317(f317(f226(a898),f317(f246(a898,a898),x92653)),x92651)) % 199.88/201.01 [9273]~E(f317(f241(a898,a898),x92733),f2(a898))+~E(x92731,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),x92733)),x92732)),f317(f246(a898,a898),x92733)))+P1(f317(f43(x92731,x92732),x92733))+~P1(f317(f317(f225(a898),f317(f246(a898,a898),x92733)),f2(a898)))+~P1(f317(f317(f225(a898),f2(a898)),f317(f246(a898,a898),x92733)))+~P1(f317(f317(f226(a898),x92732),f317(f246(a898,a898),x92733)))+~P1(f317(f317(f226(a898),f317(f246(a898,a898),x92733)),x92732)) % 199.88/201.01 [8115]~P74(x81152)+E(x81151,f178(f905(x81152,a894)))+E(x81153,f178(f905(x81152,a894)))+~P1(f317(f28(x81152),x81151))+~P1(f317(f28(x81152),x81153))+~E(f317(f317(f92(f905(x81152,a894)),x81153),x81151),f178(f905(x81152,a894)))+E(f317(f317(f75(x81152),f317(f57(x81152,f75(x81152)),x81153)),f317(f57(x81152,f75(x81152)),x81151)),f317(f57(x81152,f75(x81152)),f317(f317(f91(f905(x81152,a894)),x81153),x81151))) % 199.88/201.01 [7900]E(x79001,f2(a1))+E(f317(f317(f30(a1),x79002),x79001),x79003)+~P1(f317(f317(f225(a1),x79004),f2(a1)))+~E(x79002,f317(f317(f74(a1),f317(f317(f75(a1),x79001),x79003)),x79004))+~P1(f317(f317(f225(a1),f2(a1)),x79004))+~P1(f317(f317(f226(a1),x79004),x79001))+~P1(f317(f317(f226(a1),x79001),x79004)) % 199.88/201.01 [7908]E(f40(a1,x79082,x79081),x79083)+E(x79081,f2(a1))+~P1(f317(f317(f225(a1),x79083),f2(a1)))+~E(x79082,f317(f317(f74(a1),f317(f317(f75(a1),x79081),x79084)),x79083))+~P1(f317(f317(f225(a1),f2(a1)),x79083))+~P1(f317(f317(f226(a1),x79083),x79081))+~P1(f317(f317(f226(a1),x79081),x79083)) % 199.88/201.01 [6949]~P3(x69492)+E(x69491,f2(x69492))+E(x69493,f2(x69492))+~E(f317(f317(f30(x69492),x69494),x69493),f317(f317(f30(x69492),x69495),x69491))+E(f317(f317(f75(x69492),x69494),x69491),f317(f317(f75(x69492),x69493),x69495))+~P1(f317(f317(f277(x69492),x69491),x69495))+~P1(f317(f317(f277(x69492),x69493),x69494)) % 199.88/201.01 [6950]~P3(x69502)+E(x69501,f2(x69502))+E(x69503,f2(x69502))+~E(f317(f317(f75(x69502),x69504),x69503),f317(f317(f75(x69502),x69501),x69505))+E(f317(f317(f30(x69502),x69504),x69501),f317(f317(f30(x69502),x69505),x69503))+~P1(f317(f317(f277(x69502),x69501),x69504))+~P1(f317(f317(f277(x69502),x69503),x69505)) % 199.88/201.01 [7814]~P18(x78142,x78145,x78144)+E(x78141,f178(f905(x78142,a894)))+E(x78143,f178(f905(x78142,a894)))+~P1(f317(f28(x78142),x78141))+~P1(f317(f28(x78142),x78143))+~E(f317(f317(f92(f905(x78142,a894)),x78143),x78141),f178(f905(x78142,a894)))+E(f317(x78144,f317(f317(f91(f905(x78142,a894)),x78143),x78141)),f317(f317(x78145,f317(x78144,x78143)),f317(x78144,x78141))) % 199.88/201.01 [9516]~P24(x95163,x95161,x95165,x95164)+~P24(x95161,x95163,x95166,x95162)+E(f317(f29(x95161),x95162),f317(f29(x95163),x95164))+~P1(f317(f28(x95163),x95164))+~P1(f317(f28(x95161),x95162))+~P1(f317(f317(f225(f905(x95163,a894)),f317(f300(x95161,x95163,x95166),x95162)),x95164))+~P1(f317(f317(f225(f905(x95161,a894)),f317(f300(x95163,x95161,x95165),x95164)),x95162)) % 199.88/201.01 [9458]~P1(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94585),x94581)),x94586)),f2(a1)))+~E(f317(f317(f74(a1),f317(f317(f75(a1),x94583),x94582)),x94584),f317(f317(f74(a1),f317(f317(f75(a1),x94585),x94581)),x94586))+~P1(f317(f317(f225(a1),f2(a1)),x94586))+~P1(f317(f317(f226(a1),f2(a1)),x94585))+~P1(f317(f317(f225(a1),x94585),x94583))+~P1(f317(f317(f226(a1),x94584),x94583))+P1(f317(f317(f225(a1),x94581),x94582)) % 199.88/201.01 [9216]~E(f317(f317(f74(a1),f317(f317(f75(a1),x92163),x92161)),x92164),f317(f317(f74(a1),f317(f317(f75(a1),x92165),x92162)),x92166))+~P1(f317(f317(f225(a1),f2(a1)),x92164))+~P1(f317(f317(f226(a1),f2(a1)),x92165))+~P1(f317(f317(f225(a1),x92165),x92163))+~P1(f317(f317(f226(a1),x92166),x92165))+P1(f317(f317(f225(a1),x92161),x92162))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92165),x92162)),x92166))) % 199.88/201.01 [9398]~P133(x93981)+~E(f317(f317(f74(x93981),x93982),x93984),f72(x93981))+~P1(f317(f317(f225(x93981),x93985),x93986))+~P1(f317(f317(f225(x93981),x93983),x93986))+~P1(f317(f317(f225(x93981),f2(x93981)),x93984))+~P1(f317(f317(f225(x93981),f2(x93981)),x93982))+P1(f317(f317(f225(x93981),f317(f317(f74(x93981),f317(f317(f75(x93981),x93982),x93983)),f317(f317(f75(x93981),x93984),x93985))),x93986)) % 199.88/201.01 [9399]~P134(x93991)+~E(f317(f317(f74(x93991),x93992),x93994),f72(x93991))+~P1(f317(f317(f225(x93991),f2(x93991)),x93994))+~P1(f317(f317(f225(x93991),f2(x93991)),x93992))+~P1(f317(f317(f226(x93991),x93995),x93996))+~P1(f317(f317(f226(x93991),x93993),x93996))+P1(f317(f317(f226(x93991),f317(f317(f74(x93991),f317(f317(f75(x93991),x93992),x93993)),f317(f317(f75(x93991),x93994),x93995))),x93996)) % 199.88/201.01 [10233]~P8(x102337,x102336,x102335)+E(x102331,x102332)+~P11(x102337,f905(x102334,a894),x102335,x102333)+E(f317(x102333,f431(x102331,x102332,x102333,x102334,x102335,x102336,x102337)),f317(x102333,f432(x102331,x102332,x102333,x102334,x102335,x102336,x102337)))+~E(f317(f317(f34(x102337,f905(x102334,a894)),x102331),x102333),f317(f317(f34(x102337,f905(x102334,a894)),x102332),x102333))+~P1(f317(f317(f319(f905(x102337,a894)),x102332),f317(f317(f55(x102337),x102336),x102335)))+~P1(f317(f317(f319(f905(x102337,a894)),x102331),f317(f317(f55(x102337),x102336),x102335))) % 199.88/201.01 [10284]~P8(x102843,x102847,x102846)+E(x102841,x102842)+~P11(x102843,f905(x102845,a894),x102846,x102844)+~E(f317(f317(f34(x102843,f905(x102845,a894)),x102841),x102844),f317(f317(f34(x102843,f905(x102845,a894)),x102842),x102844))+P1(f317(f317(f319(x102843),f432(x102841,x102842,x102844,x102845,x102846,x102847,x102843)),x102847))+~P1(f317(f317(f319(f905(x102843,a894)),x102842),f317(f317(f55(x102843),x102847),x102846)))+~P1(f317(f317(f319(f905(x102843,a894)),x102841),f317(f317(f55(x102843),x102847),x102846))) % 199.88/201.01 [10285]~P8(x102853,x102857,x102856)+E(x102851,x102852)+~P11(x102853,f905(x102855,a894),x102856,x102854)+~E(f317(f317(f34(x102853,f905(x102855,a894)),x102851),x102854),f317(f317(f34(x102853,f905(x102855,a894)),x102852),x102854))+P1(f317(f317(f319(x102853),f431(x102851,x102852,x102854,x102855,x102856,x102857,x102853)),x102857))+~P1(f317(f317(f319(f905(x102853,a894)),x102852),f317(f317(f55(x102853),x102857),x102856)))+~P1(f317(f317(f319(f905(x102853,a894)),x102851),f317(f317(f55(x102853),x102857),x102856))) % 199.88/201.01 [10363]E(x103631,x103632)+~P8(x103633,x103636,x103637)+~P11(x103633,f905(x103634,a894),x103637,x103635)+~E(f317(f317(f34(x103633,f905(x103634,a894)),x103631),x103635),f317(f317(f34(x103633,f905(x103634,a894)),x103632),x103635))+~P1(f317(f317(f319(f904(x103633,x103633)),f317(f317(f242(x103633,x103633),f432(x103631,x103632,x103635,x103634,x103637,x103636,x103633)),f431(x103631,x103632,x103635,x103634,x103637,x103636,x103633))),x103637))+~P1(f317(f317(f319(f905(x103633,a894)),x103632),f317(f317(f55(x103633),x103636),x103637)))+~P1(f317(f317(f319(f905(x103633,a894)),x103631),f317(f317(f55(x103633),x103636),x103637))) % 199.88/201.01 [9215]~P8(x92151,x92157,x92154)+~E(x92155,x92156)+~P1(f317(f317(f319(x92151),x92153),x92156))+~P1(f317(f317(f319(x92151),x92152),x92155))+~P1(f317(f317(f319(f905(x92151,a894)),x92156),f317(f317(f55(x92151),x92157),x92154)))+~P1(f317(f317(f319(f905(x92151,a894)),x92155),f317(f317(f55(x92151),x92157),x92154)))+P1(f317(f317(f319(f904(x92151,x92151)),f317(f317(f242(x92151,x92151),x92152),x92153)),x92154)) % 199.88/201.01 [9354]E(x93541,x93542)+~P8(x93543,x93544,x93545)+~P1(f317(f317(f319(x93543),x93546),x93542))+~P1(f317(f317(f319(x93543),x93547),x93541))+~P1(f317(f317(f319(f905(x93543,a894)),x93542),f317(f317(f55(x93543),x93544),x93545)))+~P1(f317(f317(f319(f905(x93543,a894)),x93541),f317(f317(f55(x93543),x93544),x93545)))+~P1(f317(f317(f319(f904(x93543,x93543)),f317(f317(f242(x93543,x93543),x93547),x93546)),x93545)) % 199.88/201.01 [10390]~P8(x103909,x103908,x103907)+~P8(x103901,x1039011,x1039010)+~P12(x103901,x103909,f905(x103906,a894),x1039010,x103907,x103905)+P1(f317(f317(f319(x103901),f439(x103902,x103903,x103904,x103905,x103906,x103907,x103908,x103909,x1039010,x1039011,x103901)),x1039011))+~P1(f317(f317(f319(f905(x103909,a894)),x103903),f317(f317(f55(x103909),x103908),x103907)))+~P1(f317(f317(f319(f905(x103901,a894)),x103904),f317(f317(f55(x103901),x1039011),x1039010)))+P1(f317(f317(f319(f905(x103906,a894)),f317(f317(f34(x103901,f905(x103906,a894)),x103904),f317(f317(f8(f905(x103909,f905(x103906,a894)),f905(x103906,a894),x103901),f317(f34(x103909,f905(x103906,a894)),x103903)),x103905))),x103902)) % 199.88/201.01 [10391]~P8(x1039111,x1039110,x103919)+~P8(x103911,x103918,x103917)+~P12(x1039111,x103911,f905(x103916,a894),x103919,x103917,x103915)+P1(f317(f317(f319(x103911),f440(x103912,x103913,x103914,x103915,x103916,x103917,x103918,x103911,x103919,x1039110,x1039111)),x103918))+~P1(f317(f317(f319(f905(x1039111,a894)),x103914),f317(f317(f55(x1039111),x1039110),x103919)))+~P1(f317(f317(f319(f905(x103911,a894)),x103913),f317(f317(f55(x103911),x103918),x103917)))+P1(f317(f317(f319(f905(x103916,a894)),f317(f317(f34(x1039111,f905(x103916,a894)),x103914),f317(f317(f8(f905(x103911,f905(x103916,a894)),f905(x103916,a894),x1039111),f317(f34(x103911,f905(x103916,a894)),x103913)),x103915))),x103912)) % 199.88/201.01 [10392]~P8(x103922,x103928,x103929)+~P8(x103924,x1039210,x1039211)+~P12(x103922,x103924,f905(x103921,a894),x103929,x1039211,x103926)+~P1(f317(f317(f319(f905(x103922,a894)),x103923),f317(f317(f55(x103922),x103928),x103929)))+~P1(f317(f317(f319(f905(x103924,a894)),x103925),f317(f317(f55(x103924),x1039210),x1039211)))+~P1(f317(f317(f319(f905(x103921,a894)),f317(f317(x103926,f439(x103927,x103925,x103923,x103926,x103921,x1039211,x1039210,x103924,x103929,x103928,x103922)),f440(x103927,x103925,x103923,x103926,x103921,x1039211,x1039210,x103924,x103929,x103928,x103922))),x103927))+P1(f317(f317(f319(f905(x103921,a894)),f317(f317(f34(x103922,f905(x103921,a894)),x103923),f317(f317(f8(f905(x103924,f905(x103921,a894)),f905(x103921,a894),x103922),f317(f34(x103924,f905(x103921,a894)),x103925)),x103926))),x103927)) % 199.88/201.01 [9251]E(x92511,x92512)+~P108(x92514)+~P24(x92513,x92514,x92515,f317(f317(f91(f905(x92513,a894)),f317(f162(x92513),x92511)),f317(f162(x92513),x92512)))+~E(f317(f162(x92513),x92511),f317(f162(x92513),x92512))+~P13(x92514,f317(f317(f144(x92513,x92514),x92515),x92512))+~P13(x92514,f317(f317(f144(x92513,x92514),x92515),x92511))+~P1(f317(f127(x92514),f317(f317(f144(x92513,x92514),x92515),x92512)))+~P1(f317(f127(x92514),f317(f317(f144(x92513,x92514),x92515),x92511))) % 199.88/201.01 %EqnAxiom % 199.88/201.01 [1]E(x11,x11) % 199.88/201.01 [2]E(x22,x21)+~E(x21,x22) % 199.88/201.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 199.88/201.01 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 199.88/201.01 [5]~E(x51,x52)+E(f90(x51),f90(x52)) % 199.88/201.01 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 199.88/201.01 [7]~E(x71,x72)+E(f178(x71),f178(x72)) % 199.88/201.01 [8]~E(x81,x82)+E(f317(x81,x83),f317(x82,x83)) % 199.88/201.01 [9]~E(x91,x92)+E(f317(x93,x91),f317(x93,x92)) % 199.88/201.01 [10]~E(x101,x102)+E(f78(x101),f78(x102)) % 199.88/201.01 [11]~E(x111,x112)+E(f899(x111),f899(x112)) % 199.88/201.01 [12]~E(x121,x122)+E(f155(x121),f155(x122)) % 199.88/201.01 [13]~E(x131,x132)+E(f28(x131),f28(x132)) % 199.88/201.01 [14]~E(x141,x142)+E(f224(x141),f224(x142)) % 199.88/201.01 [15]~E(x151,x152)+E(f91(x151),f91(x152)) % 199.88/201.01 [16]~E(x161,x162)+E(f229(x161),f229(x162)) % 199.88/201.01 [17]~E(x171,x172)+E(f92(x171),f92(x172)) % 199.88/201.01 [18]~E(x181,x182)+E(f93(x181),f93(x182)) % 199.88/201.01 [19]~E(x191,x192)+E(f25(x191),f25(x192)) % 199.88/201.01 [20]~E(x201,x202)+E(f72(x201),f72(x202)) % 199.88/201.01 [21]~E(x211,x212)+E(f440(x211,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112),f440(x212,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112)) % 199.88/201.01 [22]~E(x221,x222)+E(f440(x223,x221,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f440(x223,x222,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212)) % 199.88/201.01 [23]~E(x231,x232)+E(f440(x233,x234,x231,x235,x236,x237,x238,x239,x2310,x2311,x2312),f440(x233,x234,x232,x235,x236,x237,x238,x239,x2310,x2311,x2312)) % 199.88/201.01 [24]~E(x241,x242)+E(f440(x243,x244,x245,x241,x246,x247,x248,x249,x2410,x2411,x2412),f440(x243,x244,x245,x242,x246,x247,x248,x249,x2410,x2411,x2412)) % 199.88/201.01 [25]~E(x251,x252)+E(f440(x253,x254,x255,x256,x251,x257,x258,x259,x2510,x2511,x2512),f440(x253,x254,x255,x256,x252,x257,x258,x259,x2510,x2511,x2512)) % 199.88/201.01 [26]~E(x261,x262)+E(f440(x263,x264,x265,x266,x267,x261,x268,x269,x2610,x2611,x2612),f440(x263,x264,x265,x266,x267,x262,x268,x269,x2610,x2611,x2612)) % 199.88/201.01 [27]~E(x271,x272)+E(f440(x273,x274,x275,x276,x277,x278,x271,x279,x2710,x2711,x2712),f440(x273,x274,x275,x276,x277,x278,x272,x279,x2710,x2711,x2712)) % 199.88/201.01 [28]~E(x281,x282)+E(f440(x283,x284,x285,x286,x287,x288,x289,x281,x2810,x2811,x2812),f440(x283,x284,x285,x286,x287,x288,x289,x282,x2810,x2811,x2812)) % 199.88/201.01 [29]~E(x291,x292)+E(f440(x293,x294,x295,x296,x297,x298,x299,x2910,x291,x2911,x2912),f440(x293,x294,x295,x296,x297,x298,x299,x2910,x292,x2911,x2912)) % 199.88/201.01 [30]~E(x301,x302)+E(f440(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x301,x3012),f440(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x302,x3012)) % 199.88/201.01 [31]~E(x311,x312)+E(f440(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x311),f440(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x312)) % 199.88/201.01 [32]~E(x321,x322)+E(f179(x321),f179(x322)) % 199.88/201.01 [33]~E(x331,x332)+E(f101(x331),f101(x332)) % 199.88/201.01 [34]~E(x341,x342)+E(f439(x341,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412),f439(x342,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412)) % 199.88/201.01 [35]~E(x351,x352)+E(f439(x353,x351,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f439(x353,x352,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512)) % 199.88/201.01 [36]~E(x361,x362)+E(f439(x363,x364,x361,x365,x366,x367,x368,x369,x3610,x3611,x3612),f439(x363,x364,x362,x365,x366,x367,x368,x369,x3610,x3611,x3612)) % 199.88/201.01 [37]~E(x371,x372)+E(f439(x373,x374,x375,x371,x376,x377,x378,x379,x3710,x3711,x3712),f439(x373,x374,x375,x372,x376,x377,x378,x379,x3710,x3711,x3712)) % 199.88/201.01 [38]~E(x381,x382)+E(f439(x383,x384,x385,x386,x381,x387,x388,x389,x3810,x3811,x3812),f439(x383,x384,x385,x386,x382,x387,x388,x389,x3810,x3811,x3812)) % 199.88/201.01 [39]~E(x391,x392)+E(f439(x393,x394,x395,x396,x397,x391,x398,x399,x3910,x3911,x3912),f439(x393,x394,x395,x396,x397,x392,x398,x399,x3910,x3911,x3912)) % 199.88/201.01 [40]~E(x401,x402)+E(f439(x403,x404,x405,x406,x407,x408,x401,x409,x4010,x4011,x4012),f439(x403,x404,x405,x406,x407,x408,x402,x409,x4010,x4011,x4012)) % 199.88/201.01 [41]~E(x411,x412)+E(f439(x413,x414,x415,x416,x417,x418,x419,x411,x4110,x4111,x4112),f439(x413,x414,x415,x416,x417,x418,x419,x412,x4110,x4111,x4112)) % 199.88/201.01 [42]~E(x421,x422)+E(f439(x423,x424,x425,x426,x427,x428,x429,x4210,x421,x4211,x4212),f439(x423,x424,x425,x426,x427,x428,x429,x4210,x422,x4211,x4212)) % 199.88/201.01 [43]~E(x431,x432)+E(f439(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x431,x4312),f439(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x432,x4312)) % 199.88/201.01 [44]~E(x441,x442)+E(f439(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x441),f439(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x442)) % 199.88/201.01 [45]~E(x451,x452)+E(f319(x451),f319(x452)) % 199.88/201.01 [46]~E(x461,x462)+E(f4(x461),f4(x462)) % 199.88/201.01 [47]~E(x471,x472)+E(f905(x471,x473),f905(x472,x473)) % 199.88/201.01 [48]~E(x481,x482)+E(f905(x483,x481),f905(x483,x482)) % 199.88/201.01 [49]~E(x491,x492)+E(f901(x491),f901(x492)) % 199.88/201.01 [50]~E(x501,x502)+E(f73(x501),f73(x502)) % 199.88/201.01 [51]~E(x511,x512)+E(f900(x511),f900(x512)) % 199.88/201.01 [52]~E(x521,x522)+E(f154(x521),f154(x522)) % 199.88/201.01 [53]~E(x531,x532)+E(f234(x531),f234(x532)) % 199.88/201.01 [54]~E(x541,x542)+E(f94(x541),f94(x542)) % 199.88/201.01 [55]~E(x551,x552)+E(f8(x551,x553,x554),f8(x552,x553,x554)) % 199.88/201.01 [56]~E(x561,x562)+E(f8(x563,x561,x564),f8(x563,x562,x564)) % 199.88/201.01 [57]~E(x571,x572)+E(f8(x573,x574,x571),f8(x573,x574,x572)) % 199.88/201.01 [58]~E(x581,x582)+E(f226(x581),f226(x582)) % 199.88/201.01 [59]~E(x591,x592)+E(f144(x591,x593),f144(x592,x593)) % 199.88/201.01 [60]~E(x601,x602)+E(f144(x603,x601),f144(x603,x602)) % 199.88/201.01 [61]~E(x611,x612)+E(f142(x611,x613),f142(x612,x613)) % 199.88/201.01 [62]~E(x621,x622)+E(f142(x623,x621),f142(x623,x622)) % 199.88/201.01 [63]~E(x631,x632)+E(f7(x631,x633,x634),f7(x632,x633,x634)) % 199.88/201.01 [64]~E(x641,x642)+E(f7(x643,x641,x644),f7(x643,x642,x644)) % 199.88/201.01 [65]~E(x651,x652)+E(f7(x653,x654,x651),f7(x653,x654,x652)) % 199.88/201.01 [66]~E(x661,x662)+E(f746(x661,x663,x664,x665),f746(x662,x663,x664,x665)) % 199.88/201.01 [67]~E(x671,x672)+E(f746(x673,x671,x674,x675),f746(x673,x672,x674,x675)) % 199.88/201.01 [68]~E(x681,x682)+E(f746(x683,x684,x681,x685),f746(x683,x684,x682,x685)) % 199.88/201.01 [69]~E(x691,x692)+E(f746(x693,x694,x695,x691),f746(x693,x694,x695,x692)) % 199.88/201.01 [70]~E(x701,x702)+E(f31(x701,x703),f31(x702,x703)) % 199.88/201.01 [71]~E(x711,x712)+E(f31(x713,x711),f31(x713,x712)) % 199.88/201.01 [72]~E(x721,x722)+E(f16(x721,x723),f16(x722,x723)) % 199.88/201.01 [73]~E(x731,x732)+E(f16(x733,x731),f16(x733,x732)) % 199.88/201.01 [74]~E(x741,x742)+E(f840(x741,x743,x744),f840(x742,x743,x744)) % 199.88/201.01 [75]~E(x751,x752)+E(f840(x753,x751,x754),f840(x753,x752,x754)) % 199.88/201.01 [76]~E(x761,x762)+E(f840(x763,x764,x761),f840(x763,x764,x762)) % 199.88/201.01 [77]~E(x771,x772)+E(f406(x771,x773),f406(x772,x773)) % 199.88/201.01 [78]~E(x781,x782)+E(f406(x783,x781),f406(x783,x782)) % 199.88/201.01 [79]~E(x791,x792)+E(f162(x791),f162(x792)) % 199.88/201.01 [80]~E(x801,x802)+E(f904(x801,x803),f904(x802,x803)) % 199.88/201.01 [81]~E(x811,x812)+E(f904(x813,x811),f904(x813,x812)) % 199.88/201.01 [82]~E(x821,x822)+E(f225(x821),f225(x822)) % 199.88/201.01 [83]~E(x831,x832)+E(f127(x831),f127(x832)) % 199.88/201.01 [84]~E(x841,x842)+E(f384(x841,x843,x844,x845),f384(x842,x843,x844,x845)) % 199.88/201.01 [85]~E(x851,x852)+E(f384(x853,x851,x854,x855),f384(x853,x852,x854,x855)) % 199.88/201.01 [86]~E(x861,x862)+E(f384(x863,x864,x861,x865),f384(x863,x864,x862,x865)) % 199.88/201.01 [87]~E(x871,x872)+E(f384(x873,x874,x875,x871),f384(x873,x874,x875,x872)) % 199.88/201.01 [88]~E(x881,x882)+E(f55(x881),f55(x882)) % 199.88/201.01 [89]~E(x891,x892)+E(f75(x891),f75(x892)) % 199.88/201.01 [90]~E(x901,x902)+E(f103(x901),f103(x902)) % 199.88/201.01 [91]~E(x911,x912)+E(f40(x911,x913,x914),f40(x912,x913,x914)) % 199.88/201.01 [92]~E(x921,x922)+E(f40(x923,x921,x924),f40(x923,x922,x924)) % 199.88/201.01 [93]~E(x931,x932)+E(f40(x933,x934,x931),f40(x933,x934,x932)) % 199.88/201.01 [94]~E(x941,x942)+E(f754(x941,x943,x944,x945),f754(x942,x943,x944,x945)) % 199.88/201.01 [95]~E(x951,x952)+E(f754(x953,x951,x954,x955),f754(x953,x952,x954,x955)) % 199.88/201.01 [96]~E(x961,x962)+E(f754(x963,x964,x961,x965),f754(x963,x964,x962,x965)) % 199.88/201.01 [97]~E(x971,x972)+E(f754(x973,x974,x975,x971),f754(x973,x974,x975,x972)) % 199.88/201.01 [98]~E(x981,x982)+E(f281(x981),f281(x982)) % 199.88/201.01 [99]~E(x991,x992)+E(f141(x991),f141(x992)) % 199.88/201.01 [100]~E(x1001,x1002)+E(f30(x1001),f30(x1002)) % 199.88/201.01 [101]~E(x1011,x1012)+E(f29(x1011),f29(x1012)) % 199.88/201.01 [102]~E(x1021,x1022)+E(f74(x1021),f74(x1022)) % 199.88/201.01 [103]~E(x1031,x1032)+E(f67(x1031,x1033,x1034,x1035),f67(x1032,x1033,x1034,x1035)) % 199.88/201.01 [104]~E(x1041,x1042)+E(f67(x1043,x1041,x1044,x1045),f67(x1043,x1042,x1044,x1045)) % 199.88/201.01 [105]~E(x1051,x1052)+E(f67(x1053,x1054,x1051,x1055),f67(x1053,x1054,x1052,x1055)) % 199.88/201.01 [106]~E(x1061,x1062)+E(f67(x1063,x1064,x1065,x1061),f67(x1063,x1064,x1065,x1062)) % 199.88/201.01 [107]~E(x1071,x1072)+E(f242(x1071,x1073),f242(x1072,x1073)) % 199.88/201.01 [108]~E(x1081,x1082)+E(f242(x1083,x1081),f242(x1083,x1082)) % 199.88/201.01 [109]~E(x1091,x1092)+E(f169(x1091,x1093),f169(x1092,x1093)) % 199.88/201.01 [110]~E(x1101,x1102)+E(f169(x1103,x1101),f169(x1103,x1102)) % 199.88/201.01 [111]~E(x1111,x1112)+E(f305(x1111,x1113),f305(x1112,x1113)) % 199.88/201.01 [112]~E(x1121,x1122)+E(f305(x1123,x1121),f305(x1123,x1122)) % 199.88/201.01 [113]~E(x1131,x1132)+E(f807(x1131,x1133,x1134,x1135),f807(x1132,x1133,x1134,x1135)) % 199.88/201.01 [114]~E(x1141,x1142)+E(f807(x1143,x1141,x1144,x1145),f807(x1143,x1142,x1144,x1145)) % 199.88/201.01 [115]~E(x1151,x1152)+E(f807(x1153,x1154,x1151,x1155),f807(x1153,x1154,x1152,x1155)) % 199.88/201.01 [116]~E(x1161,x1162)+E(f807(x1163,x1164,x1165,x1161),f807(x1163,x1164,x1165,x1162)) % 199.88/201.01 [117]~E(x1171,x1172)+E(f394(x1171,x1173,x1174,x1175),f394(x1172,x1173,x1174,x1175)) % 199.88/201.01 [118]~E(x1181,x1182)+E(f394(x1183,x1181,x1184,x1185),f394(x1183,x1182,x1184,x1185)) % 199.88/201.01 [119]~E(x1191,x1192)+E(f394(x1193,x1194,x1191,x1195),f394(x1193,x1194,x1192,x1195)) % 199.88/201.01 [120]~E(x1201,x1202)+E(f394(x1203,x1204,x1205,x1201),f394(x1203,x1204,x1205,x1202)) % 199.88/201.01 [121]~E(x1211,x1212)+E(f244(x1211,x1213),f244(x1212,x1213)) % 199.88/201.01 [122]~E(x1221,x1222)+E(f244(x1223,x1221),f244(x1223,x1222)) % 199.88/201.01 [123]~E(x1231,x1232)+E(f58(x1231,x1233,x1234),f58(x1232,x1233,x1234)) % 199.88/201.01 [124]~E(x1241,x1242)+E(f58(x1243,x1241,x1244),f58(x1243,x1242,x1244)) % 199.88/201.01 [125]~E(x1251,x1252)+E(f58(x1253,x1254,x1251),f58(x1253,x1254,x1252)) % 199.88/201.01 [126]~E(x1261,x1262)+E(f6(x1261,x1263),f6(x1262,x1263)) % 199.88/201.01 [127]~E(x1271,x1272)+E(f6(x1273,x1271),f6(x1273,x1272)) % 199.88/201.01 [128]~E(x1281,x1282)+E(f18(x1281,x1283,x1284),f18(x1282,x1283,x1284)) % 199.88/201.01 [129]~E(x1291,x1292)+E(f18(x1293,x1291,x1294),f18(x1293,x1292,x1294)) % 199.88/201.01 [130]~E(x1301,x1302)+E(f18(x1303,x1304,x1301),f18(x1303,x1304,x1302)) % 199.88/201.01 [131]~E(x1311,x1312)+E(f299(x1311),f299(x1312)) % 199.88/201.01 [132]~E(x1321,x1322)+E(f70(x1321),f70(x1322)) % 199.88/201.01 [133]~E(x1331,x1332)+E(f252(x1331),f252(x1332)) % 199.88/201.01 [134]~E(x1341,x1342)+E(f842(x1341,x1343,x1344),f842(x1342,x1343,x1344)) % 199.88/201.01 [135]~E(x1351,x1352)+E(f842(x1353,x1351,x1354),f842(x1353,x1352,x1354)) % 199.88/201.01 [136]~E(x1361,x1362)+E(f842(x1363,x1364,x1361),f842(x1363,x1364,x1362)) % 199.88/201.01 [137]~E(x1371,x1372)+E(f96(x1371),f96(x1372)) % 199.88/201.01 [138]~E(x1381,x1382)+E(f98(x1381),f98(x1382)) % 199.88/201.01 [139]~E(x1391,x1392)+E(f318(x1391),f318(x1392)) % 199.88/201.01 [140]~E(x1401,x1402)+E(f279(x1401,x1403,x1404),f279(x1402,x1403,x1404)) % 199.88/201.01 [141]~E(x1411,x1412)+E(f279(x1413,x1411,x1414),f279(x1413,x1412,x1414)) % 199.88/201.01 [142]~E(x1421,x1422)+E(f279(x1423,x1424,x1421),f279(x1423,x1424,x1422)) % 199.88/201.01 [143]~E(x1431,x1432)+E(f544(x1431),f544(x1432)) % 199.88/201.01 [144]~E(x1441,x1442)+E(f308(x1441,x1443),f308(x1442,x1443)) % 199.88/201.01 [145]~E(x1451,x1452)+E(f308(x1453,x1451),f308(x1453,x1452)) % 199.88/201.01 [146]~E(x1461,x1462)+E(f300(x1461,x1463,x1464),f300(x1462,x1463,x1464)) % 199.88/201.01 [147]~E(x1471,x1472)+E(f300(x1473,x1471,x1474),f300(x1473,x1472,x1474)) % 199.88/201.01 [148]~E(x1481,x1482)+E(f300(x1483,x1484,x1481),f300(x1483,x1484,x1482)) % 199.88/201.01 [149]~E(x1491,x1492)+E(f231(x1491,x1493),f231(x1492,x1493)) % 199.88/201.01 [150]~E(x1501,x1502)+E(f231(x1503,x1501),f231(x1503,x1502)) % 199.88/201.01 [151]~E(x1511,x1512)+E(f12(x1511,x1513,x1514),f12(x1512,x1513,x1514)) % 199.88/201.01 [152]~E(x1521,x1522)+E(f12(x1523,x1521,x1524),f12(x1523,x1522,x1524)) % 199.88/201.01 [153]~E(x1531,x1532)+E(f12(x1533,x1534,x1531),f12(x1533,x1534,x1532)) % 199.88/201.01 [154]~E(x1541,x1542)+E(f404(x1541,x1543),f404(x1542,x1543)) % 199.88/201.01 [155]~E(x1551,x1552)+E(f404(x1553,x1551),f404(x1553,x1552)) % 199.88/201.01 [156]~E(x1561,x1562)+E(f151(x1561,x1563),f151(x1562,x1563)) % 199.88/201.01 [157]~E(x1571,x1572)+E(f151(x1573,x1571),f151(x1573,x1572)) % 199.88/201.01 [158]~E(x1581,x1582)+E(f34(x1581,x1583),f34(x1582,x1583)) % 199.88/201.01 [159]~E(x1591,x1592)+E(f34(x1593,x1591),f34(x1593,x1592)) % 199.88/201.01 [160]~E(x1601,x1602)+E(f5(x1601),f5(x1602)) % 199.88/201.01 [161]~E(x1611,x1612)+E(f788(x1611,x1613,x1614),f788(x1612,x1613,x1614)) % 199.88/201.01 [162]~E(x1621,x1622)+E(f788(x1623,x1621,x1624),f788(x1623,x1622,x1624)) % 199.88/201.01 [163]~E(x1631,x1632)+E(f788(x1633,x1634,x1631),f788(x1633,x1634,x1632)) % 199.88/201.01 [164]~E(x1641,x1642)+E(f540(x1641,x1643),f540(x1642,x1643)) % 199.88/201.01 [165]~E(x1651,x1652)+E(f540(x1653,x1651),f540(x1653,x1652)) % 199.88/201.01 [166]~E(x1661,x1662)+E(f57(x1661,x1663),f57(x1662,x1663)) % 199.88/201.01 [167]~E(x1671,x1672)+E(f57(x1673,x1671),f57(x1673,x1672)) % 199.88/201.01 [168]~E(x1681,x1682)+E(f232(x1681),f232(x1682)) % 199.88/201.01 [169]~E(x1691,x1692)+E(f292(x1691,x1693),f292(x1692,x1693)) % 199.88/201.01 [170]~E(x1701,x1702)+E(f292(x1703,x1701),f292(x1703,x1702)) % 199.88/201.01 [171]~E(x1711,x1712)+E(f9(x1711,x1713),f9(x1712,x1713)) % 199.88/201.01 [172]~E(x1721,x1722)+E(f9(x1723,x1721),f9(x1723,x1722)) % 199.88/201.01 [173]~E(x1731,x1732)+E(f272(x1731),f272(x1732)) % 199.88/201.01 [174]~E(x1741,x1742)+E(f35(x1741,x1743),f35(x1742,x1743)) % 199.88/201.01 [175]~E(x1751,x1752)+E(f35(x1753,x1751),f35(x1753,x1752)) % 199.88/201.01 [176]~E(x1761,x1762)+E(f839(x1761,x1763,x1764),f839(x1762,x1763,x1764)) % 199.88/201.01 [177]~E(x1771,x1772)+E(f839(x1773,x1771,x1774),f839(x1773,x1772,x1774)) % 199.88/201.01 [178]~E(x1781,x1782)+E(f839(x1783,x1784,x1781),f839(x1783,x1784,x1782)) % 199.88/201.01 [179]~E(x1791,x1792)+E(f254(x1791,x1793),f254(x1792,x1793)) % 199.88/201.01 [180]~E(x1801,x1802)+E(f254(x1803,x1801),f254(x1803,x1802)) % 199.88/201.01 [181]~E(x1811,x1812)+E(f126(x1811,x1813),f126(x1812,x1813)) % 199.88/201.01 [182]~E(x1821,x1822)+E(f126(x1823,x1821),f126(x1823,x1822)) % 199.88/201.01 [183]~E(x1831,x1832)+E(f364(x1831,x1833,x1834,x1835,x1836),f364(x1832,x1833,x1834,x1835,x1836)) % 199.88/201.01 [184]~E(x1841,x1842)+E(f364(x1843,x1841,x1844,x1845,x1846),f364(x1843,x1842,x1844,x1845,x1846)) % 199.88/201.01 [185]~E(x1851,x1852)+E(f364(x1853,x1854,x1851,x1855,x1856),f364(x1853,x1854,x1852,x1855,x1856)) % 199.88/201.01 [186]~E(x1861,x1862)+E(f364(x1863,x1864,x1865,x1861,x1866),f364(x1863,x1864,x1865,x1862,x1866)) % 199.88/201.01 [187]~E(x1871,x1872)+E(f364(x1873,x1874,x1875,x1876,x1871),f364(x1873,x1874,x1875,x1876,x1872)) % 199.88/201.01 [188]~E(x1881,x1882)+E(f280(x1881,x1883,x1884,x1885),f280(x1882,x1883,x1884,x1885)) % 199.88/201.01 [189]~E(x1891,x1892)+E(f280(x1893,x1891,x1894,x1895),f280(x1893,x1892,x1894,x1895)) % 199.88/201.01 [190]~E(x1901,x1902)+E(f280(x1903,x1904,x1901,x1905),f280(x1903,x1904,x1902,x1905)) % 199.88/201.01 [191]~E(x1911,x1912)+E(f280(x1913,x1914,x1915,x1911),f280(x1913,x1914,x1915,x1912)) % 199.88/201.01 [192]~E(x1921,x1922)+E(f294(x1921),f294(x1922)) % 199.88/201.01 [193]~E(x1931,x1932)+E(f357(x1931,x1933,x1934,x1935),f357(x1932,x1933,x1934,x1935)) % 199.88/201.01 [194]~E(x1941,x1942)+E(f357(x1943,x1941,x1944,x1945),f357(x1943,x1942,x1944,x1945)) % 199.88/201.01 [195]~E(x1951,x1952)+E(f357(x1953,x1954,x1951,x1955),f357(x1953,x1954,x1952,x1955)) % 199.88/201.01 [196]~E(x1961,x1962)+E(f357(x1963,x1964,x1965,x1961),f357(x1963,x1964,x1965,x1962)) % 199.88/201.01 [197]~E(x1971,x1972)+E(f124(x1971),f124(x1972)) % 199.88/201.01 [198]~E(x1981,x1982)+E(f297(x1981,x1983),f297(x1982,x1983)) % 199.88/201.01 [199]~E(x1991,x1992)+E(f297(x1993,x1991),f297(x1993,x1992)) % 199.88/201.01 [200]~E(x2001,x2002)+E(f175(x2001,x2003,x2004,x2005),f175(x2002,x2003,x2004,x2005)) % 199.88/201.01 [201]~E(x2011,x2012)+E(f175(x2013,x2011,x2014,x2015),f175(x2013,x2012,x2014,x2015)) % 199.88/201.01 [202]~E(x2021,x2022)+E(f175(x2023,x2024,x2021,x2025),f175(x2023,x2024,x2022,x2025)) % 199.88/201.01 [203]~E(x2031,x2032)+E(f175(x2033,x2034,x2035,x2031),f175(x2033,x2034,x2035,x2032)) % 199.88/201.01 [204]~E(x2041,x2042)+E(f59(x2041,x2043,x2044),f59(x2042,x2043,x2044)) % 199.88/201.01 [205]~E(x2051,x2052)+E(f59(x2053,x2051,x2054),f59(x2053,x2052,x2054)) % 199.88/201.01 [206]~E(x2061,x2062)+E(f59(x2063,x2064,x2061),f59(x2063,x2064,x2062)) % 199.88/201.01 [207]~E(x2071,x2072)+E(f416(x2071,x2073,x2074,x2075),f416(x2072,x2073,x2074,x2075)) % 199.88/201.01 [208]~E(x2081,x2082)+E(f416(x2083,x2081,x2084,x2085),f416(x2083,x2082,x2084,x2085)) % 199.88/201.01 [209]~E(x2091,x2092)+E(f416(x2093,x2094,x2091,x2095),f416(x2093,x2094,x2092,x2095)) % 199.88/201.01 [210]~E(x2101,x2102)+E(f416(x2103,x2104,x2105,x2101),f416(x2103,x2104,x2105,x2102)) % 199.88/201.01 [211]~E(x2111,x2112)+E(f295(x2111,x2113,x2114),f295(x2112,x2113,x2114)) % 199.88/201.01 [212]~E(x2121,x2122)+E(f295(x2123,x2121,x2124),f295(x2123,x2122,x2124)) % 199.88/201.01 [213]~E(x2131,x2132)+E(f295(x2133,x2134,x2131),f295(x2133,x2134,x2132)) % 199.88/201.01 [214]~E(x2141,x2142)+E(f150(x2141,x2143),f150(x2142,x2143)) % 199.88/201.01 [215]~E(x2151,x2152)+E(f150(x2153,x2151),f150(x2153,x2152)) % 199.88/201.01 [216]~E(x2161,x2162)+E(f424(x2161,x2163,x2164,x2165,x2166,x2167),f424(x2162,x2163,x2164,x2165,x2166,x2167)) % 199.88/201.01 [217]~E(x2171,x2172)+E(f424(x2173,x2171,x2174,x2175,x2176,x2177),f424(x2173,x2172,x2174,x2175,x2176,x2177)) % 199.88/201.01 [218]~E(x2181,x2182)+E(f424(x2183,x2184,x2181,x2185,x2186,x2187),f424(x2183,x2184,x2182,x2185,x2186,x2187)) % 199.88/201.01 [219]~E(x2191,x2192)+E(f424(x2193,x2194,x2195,x2191,x2196,x2197),f424(x2193,x2194,x2195,x2192,x2196,x2197)) % 199.88/201.01 [220]~E(x2201,x2202)+E(f424(x2203,x2204,x2205,x2206,x2201,x2207),f424(x2203,x2204,x2205,x2206,x2202,x2207)) % 199.88/201.01 [221]~E(x2211,x2212)+E(f424(x2213,x2214,x2215,x2216,x2217,x2211),f424(x2213,x2214,x2215,x2216,x2217,x2212)) % 199.88/201.01 [222]~E(x2221,x2222)+E(f85(x2221,x2223,x2224,x2225),f85(x2222,x2223,x2224,x2225)) % 199.88/201.01 [223]~E(x2231,x2232)+E(f85(x2233,x2231,x2234,x2235),f85(x2233,x2232,x2234,x2235)) % 199.88/201.01 [224]~E(x2241,x2242)+E(f85(x2243,x2244,x2241,x2245),f85(x2243,x2244,x2242,x2245)) % 199.88/201.01 [225]~E(x2251,x2252)+E(f85(x2253,x2254,x2255,x2251),f85(x2253,x2254,x2255,x2252)) % 199.88/201.01 [226]~E(x2261,x2262)+E(f273(x2261),f273(x2262)) % 199.88/201.01 [227]~E(x2271,x2272)+E(f657(x2271,x2273,x2274,x2275,x2276),f657(x2272,x2273,x2274,x2275,x2276)) % 199.88/201.01 [228]~E(x2281,x2282)+E(f657(x2283,x2281,x2284,x2285,x2286),f657(x2283,x2282,x2284,x2285,x2286)) % 199.88/201.01 [229]~E(x2291,x2292)+E(f657(x2293,x2294,x2291,x2295,x2296),f657(x2293,x2294,x2292,x2295,x2296)) % 199.88/201.01 [230]~E(x2301,x2302)+E(f657(x2303,x2304,x2305,x2301,x2306),f657(x2303,x2304,x2305,x2302,x2306)) % 199.88/201.01 [231]~E(x2311,x2312)+E(f657(x2313,x2314,x2315,x2316,x2311),f657(x2313,x2314,x2315,x2316,x2312)) % 199.88/201.01 [232]~E(x2321,x2322)+E(f603(x2321,x2323,x2324),f603(x2322,x2323,x2324)) % 199.88/201.01 [233]~E(x2331,x2332)+E(f603(x2333,x2331,x2334),f603(x2333,x2332,x2334)) % 199.88/201.01 [234]~E(x2341,x2342)+E(f603(x2343,x2344,x2341),f603(x2343,x2344,x2342)) % 199.88/201.01 [235]~E(x2351,x2352)+E(f147(x2351,x2353),f147(x2352,x2353)) % 199.88/201.01 [236]~E(x2361,x2362)+E(f147(x2363,x2361),f147(x2363,x2362)) % 199.88/201.01 [237]~E(x2371,x2372)+E(f277(x2371),f277(x2372)) % 199.88/201.01 [238]~E(x2381,x2382)+E(f171(x2381,x2383),f171(x2382,x2383)) % 199.88/201.01 [239]~E(x2391,x2392)+E(f171(x2393,x2391),f171(x2393,x2392)) % 199.88/201.01 [240]~E(x2401,x2402)+E(f56(x2401,x2403,x2404),f56(x2402,x2403,x2404)) % 199.88/201.01 [241]~E(x2411,x2412)+E(f56(x2413,x2411,x2414),f56(x2413,x2412,x2414)) % 199.88/201.01 [242]~E(x2421,x2422)+E(f56(x2423,x2424,x2421),f56(x2423,x2424,x2422)) % 199.88/201.01 [243]~E(x2431,x2432)+E(f32(x2431,x2433),f32(x2432,x2433)) % 199.88/201.01 [244]~E(x2441,x2442)+E(f32(x2443,x2441),f32(x2443,x2442)) % 199.88/201.01 [245]~E(x2451,x2452)+E(f241(x2451,x2453),f241(x2452,x2453)) % 199.88/201.01 [246]~E(x2461,x2462)+E(f241(x2463,x2461),f241(x2463,x2462)) % 199.88/201.01 [247]~E(x2471,x2472)+E(f843(x2471,x2473,x2474),f843(x2472,x2473,x2474)) % 199.88/201.01 [248]~E(x2481,x2482)+E(f843(x2483,x2481,x2484),f843(x2483,x2482,x2484)) % 199.88/201.01 [249]~E(x2491,x2492)+E(f843(x2493,x2494,x2491),f843(x2493,x2494,x2492)) % 199.88/201.01 [250]~E(x2501,x2502)+E(f158(x2501),f158(x2502)) % 199.88/201.01 [251]~E(x2511,x2512)+E(f159(x2511,x2513,x2514),f159(x2512,x2513,x2514)) % 199.88/201.01 [252]~E(x2521,x2522)+E(f159(x2523,x2521,x2524),f159(x2523,x2522,x2524)) % 199.88/201.01 [253]~E(x2531,x2532)+E(f159(x2533,x2534,x2531),f159(x2533,x2534,x2532)) % 199.88/201.01 [254]~E(x2541,x2542)+E(f104(x2541,x2543),f104(x2542,x2543)) % 199.88/201.01 [255]~E(x2551,x2552)+E(f104(x2553,x2551),f104(x2553,x2552)) % 199.88/201.01 [256]~E(x2561,x2562)+E(f165(x2561),f165(x2562)) % 199.88/201.01 [257]~E(x2571,x2572)+E(f709(x2571,x2573),f709(x2572,x2573)) % 199.88/201.01 [258]~E(x2581,x2582)+E(f709(x2583,x2581),f709(x2583,x2582)) % 199.88/201.01 [259]~E(x2591,x2592)+E(f756(x2591,x2593,x2594,x2595),f756(x2592,x2593,x2594,x2595)) % 199.88/201.01 [260]~E(x2601,x2602)+E(f756(x2603,x2601,x2604,x2605),f756(x2603,x2602,x2604,x2605)) % 199.88/201.01 [261]~E(x2611,x2612)+E(f756(x2613,x2614,x2611,x2615),f756(x2613,x2614,x2612,x2615)) % 199.88/201.01 [262]~E(x2621,x2622)+E(f756(x2623,x2624,x2625,x2621),f756(x2623,x2624,x2625,x2622)) % 199.88/201.01 [263]~E(x2631,x2632)+E(f474(x2631),f474(x2632)) % 199.88/201.01 [264]~E(x2641,x2642)+E(f181(x2641),f181(x2642)) % 199.88/201.01 [265]~E(x2651,x2652)+E(f105(x2651),f105(x2652)) % 199.88/201.01 [266]~E(x2661,x2662)+E(f45(x2661,x2663),f45(x2662,x2663)) % 199.88/201.01 [267]~E(x2671,x2672)+E(f45(x2673,x2671),f45(x2673,x2672)) % 199.88/201.01 [268]~E(x2681,x2682)+E(f903(x2681,x2683),f903(x2682,x2683)) % 199.88/201.01 [269]~E(x2691,x2692)+E(f903(x2693,x2691),f903(x2693,x2692)) % 199.88/201.01 [270]~E(x2701,x2702)+E(f902(x2701,x2703),f902(x2702,x2703)) % 199.88/201.01 [271]~E(x2711,x2712)+E(f902(x2713,x2711),f902(x2713,x2712)) % 199.88/201.01 [272]~E(x2721,x2722)+E(f393(x2721,x2723,x2724,x2725),f393(x2722,x2723,x2724,x2725)) % 199.88/201.01 [273]~E(x2731,x2732)+E(f393(x2733,x2731,x2734,x2735),f393(x2733,x2732,x2734,x2735)) % 199.88/201.01 [274]~E(x2741,x2742)+E(f393(x2743,x2744,x2741,x2745),f393(x2743,x2744,x2742,x2745)) % 199.88/201.01 [275]~E(x2751,x2752)+E(f393(x2753,x2754,x2755,x2751),f393(x2753,x2754,x2755,x2752)) % 199.88/201.01 [276]~E(x2761,x2762)+E(f157(x2761),f157(x2762)) % 199.88/201.01 [277]~E(x2771,x2772)+E(f247(x2771,x2773,x2774),f247(x2772,x2773,x2774)) % 199.88/201.01 [278]~E(x2781,x2782)+E(f247(x2783,x2781,x2784),f247(x2783,x2782,x2784)) % 199.88/201.01 [279]~E(x2791,x2792)+E(f247(x2793,x2794,x2791),f247(x2793,x2794,x2792)) % 199.88/201.01 [280]~E(x2801,x2802)+E(f246(x2801,x2803),f246(x2802,x2803)) % 199.88/201.01 [281]~E(x2811,x2812)+E(f246(x2813,x2811),f246(x2813,x2812)) % 199.88/201.01 [282]~E(x2821,x2822)+E(f128(x2821),f128(x2822)) % 199.88/201.01 [283]~E(x2831,x2832)+E(f161(x2831),f161(x2832)) % 199.88/201.01 [284]~E(x2841,x2842)+E(f660(x2841,x2843,x2844,x2845,x2846),f660(x2842,x2843,x2844,x2845,x2846)) % 199.88/201.01 [285]~E(x2851,x2852)+E(f660(x2853,x2851,x2854,x2855,x2856),f660(x2853,x2852,x2854,x2855,x2856)) % 199.88/201.01 [286]~E(x2861,x2862)+E(f660(x2863,x2864,x2861,x2865,x2866),f660(x2863,x2864,x2862,x2865,x2866)) % 199.88/201.01 [287]~E(x2871,x2872)+E(f660(x2873,x2874,x2875,x2871,x2876),f660(x2873,x2874,x2875,x2872,x2876)) % 199.88/201.01 [288]~E(x2881,x2882)+E(f660(x2883,x2884,x2885,x2886,x2881),f660(x2883,x2884,x2885,x2886,x2882)) % 199.88/201.01 [289]~E(x2891,x2892)+E(f289(x2891,x2893,x2894,x2895),f289(x2892,x2893,x2894,x2895)) % 199.88/201.01 [290]~E(x2901,x2902)+E(f289(x2903,x2901,x2904,x2905),f289(x2903,x2902,x2904,x2905)) % 199.88/201.01 [291]~E(x2911,x2912)+E(f289(x2913,x2914,x2911,x2915),f289(x2913,x2914,x2912,x2915)) % 199.88/201.01 [292]~E(x2921,x2922)+E(f289(x2923,x2924,x2925,x2921),f289(x2923,x2924,x2925,x2922)) % 199.88/201.01 [293]~E(x2931,x2932)+E(f276(x2931,x2933),f276(x2932,x2933)) % 199.88/201.01 [294]~E(x2941,x2942)+E(f276(x2943,x2941),f276(x2943,x2942)) % 199.88/201.01 [295]~E(x2951,x2952)+E(f301(x2951,x2953,x2954),f301(x2952,x2953,x2954)) % 199.88/201.01 [296]~E(x2961,x2962)+E(f301(x2963,x2961,x2964),f301(x2963,x2962,x2964)) % 199.88/201.01 [297]~E(x2971,x2972)+E(f301(x2973,x2974,x2971),f301(x2973,x2974,x2972)) % 199.88/201.01 [298]~E(x2981,x2982)+E(f173(x2981,x2983),f173(x2982,x2983)) % 199.88/201.01 [299]~E(x2991,x2992)+E(f173(x2993,x2991),f173(x2993,x2992)) % 199.88/201.01 [300]~E(x3001,x3002)+E(f595(x3001,x3003,x3004,x3005,x3006),f595(x3002,x3003,x3004,x3005,x3006)) % 199.88/201.01 [301]~E(x3011,x3012)+E(f595(x3013,x3011,x3014,x3015,x3016),f595(x3013,x3012,x3014,x3015,x3016)) % 199.88/201.01 [302]~E(x3021,x3022)+E(f595(x3023,x3024,x3021,x3025,x3026),f595(x3023,x3024,x3022,x3025,x3026)) % 199.88/201.01 [303]~E(x3031,x3032)+E(f595(x3033,x3034,x3035,x3031,x3036),f595(x3033,x3034,x3035,x3032,x3036)) % 199.88/201.01 [304]~E(x3041,x3042)+E(f595(x3043,x3044,x3045,x3046,x3041),f595(x3043,x3044,x3045,x3046,x3042)) % 199.88/201.01 [305]~E(x3051,x3052)+E(f278(x3051,x3053),f278(x3052,x3053)) % 199.88/201.01 [306]~E(x3061,x3062)+E(f278(x3063,x3061),f278(x3063,x3062)) % 199.88/201.01 [307]~E(x3071,x3072)+E(f699(x3071,x3073,x3074),f699(x3072,x3073,x3074)) % 199.88/201.01 [308]~E(x3081,x3082)+E(f699(x3083,x3081,x3084),f699(x3083,x3082,x3084)) % 199.88/201.01 [309]~E(x3091,x3092)+E(f699(x3093,x3094,x3091),f699(x3093,x3094,x3092)) % 199.88/201.01 [310]~E(x3101,x3102)+E(f517(x3101,x3103,x3104,x3105,x3106,x3107,x3108),f517(x3102,x3103,x3104,x3105,x3106,x3107,x3108)) % 199.88/201.01 [311]~E(x3111,x3112)+E(f517(x3113,x3111,x3114,x3115,x3116,x3117,x3118),f517(x3113,x3112,x3114,x3115,x3116,x3117,x3118)) % 199.88/201.01 [312]~E(x3121,x3122)+E(f517(x3123,x3124,x3121,x3125,x3126,x3127,x3128),f517(x3123,x3124,x3122,x3125,x3126,x3127,x3128)) % 199.88/201.01 [313]~E(x3131,x3132)+E(f517(x3133,x3134,x3135,x3131,x3136,x3137,x3138),f517(x3133,x3134,x3135,x3132,x3136,x3137,x3138)) % 199.88/201.01 [314]~E(x3141,x3142)+E(f517(x3143,x3144,x3145,x3146,x3141,x3147,x3148),f517(x3143,x3144,x3145,x3146,x3142,x3147,x3148)) % 199.88/201.01 [315]~E(x3151,x3152)+E(f517(x3153,x3154,x3155,x3156,x3157,x3151,x3158),f517(x3153,x3154,x3155,x3156,x3157,x3152,x3158)) % 199.88/201.01 [316]~E(x3161,x3162)+E(f517(x3163,x3164,x3165,x3166,x3167,x3168,x3161),f517(x3163,x3164,x3165,x3166,x3167,x3168,x3162)) % 199.88/201.01 [317]~E(x3171,x3172)+E(f132(x3171,x3173,x3174,x3175),f132(x3172,x3173,x3174,x3175)) % 199.88/201.01 [318]~E(x3181,x3182)+E(f132(x3183,x3181,x3184,x3185),f132(x3183,x3182,x3184,x3185)) % 199.88/201.01 [319]~E(x3191,x3192)+E(f132(x3193,x3194,x3191,x3195),f132(x3193,x3194,x3192,x3195)) % 199.88/201.01 [320]~E(x3201,x3202)+E(f132(x3203,x3204,x3205,x3201),f132(x3203,x3204,x3205,x3202)) % 199.88/201.01 [321]~E(x3211,x3212)+E(f167(x3211,x3213,x3214),f167(x3212,x3213,x3214)) % 199.88/201.01 [322]~E(x3221,x3222)+E(f167(x3223,x3221,x3224),f167(x3223,x3222,x3224)) % 199.88/201.01 [323]~E(x3231,x3232)+E(f167(x3233,x3234,x3231),f167(x3233,x3234,x3232)) % 199.88/201.01 [324]~E(x3241,x3242)+E(f470(x3241,x3243,x3244,x3245,x3246),f470(x3242,x3243,x3244,x3245,x3246)) % 199.88/201.01 [325]~E(x3251,x3252)+E(f470(x3253,x3251,x3254,x3255,x3256),f470(x3253,x3252,x3254,x3255,x3256)) % 199.88/201.01 [326]~E(x3261,x3262)+E(f470(x3263,x3264,x3261,x3265,x3266),f470(x3263,x3264,x3262,x3265,x3266)) % 199.88/201.01 [327]~E(x3271,x3272)+E(f470(x3273,x3274,x3275,x3271,x3276),f470(x3273,x3274,x3275,x3272,x3276)) % 199.88/201.01 [328]~E(x3281,x3282)+E(f470(x3283,x3284,x3285,x3286,x3281),f470(x3283,x3284,x3285,x3286,x3282)) % 199.88/201.01 [329]~E(x3291,x3292)+E(f844(x3291,x3293,x3294),f844(x3292,x3293,x3294)) % 199.88/201.01 [330]~E(x3301,x3302)+E(f844(x3303,x3301,x3304),f844(x3303,x3302,x3304)) % 199.88/201.01 [331]~E(x3311,x3312)+E(f844(x3313,x3314,x3311),f844(x3313,x3314,x3312)) % 199.88/201.01 [332]~E(x3321,x3322)+E(f293(x3321,x3323,x3324),f293(x3322,x3323,x3324)) % 199.88/201.01 [333]~E(x3331,x3332)+E(f293(x3333,x3331,x3334),f293(x3333,x3332,x3334)) % 199.88/201.01 [334]~E(x3341,x3342)+E(f293(x3343,x3344,x3341),f293(x3343,x3344,x3342)) % 199.88/201.01 [335]~E(x3351,x3352)+E(f310(x3351,x3353),f310(x3352,x3353)) % 199.88/201.01 [336]~E(x3361,x3362)+E(f310(x3363,x3361),f310(x3363,x3362)) % 199.88/201.01 [337]~E(x3371,x3372)+E(f129(x3371,x3373),f129(x3372,x3373)) % 199.88/201.01 [338]~E(x3381,x3382)+E(f129(x3383,x3381),f129(x3383,x3382)) % 199.88/201.01 [339]~E(x3391,x3392)+E(f509(x3391,x3393,x3394,x3395,x3396),f509(x3392,x3393,x3394,x3395,x3396)) % 199.88/201.01 [340]~E(x3401,x3402)+E(f509(x3403,x3401,x3404,x3405,x3406),f509(x3403,x3402,x3404,x3405,x3406)) % 199.88/201.01 [341]~E(x3411,x3412)+E(f509(x3413,x3414,x3411,x3415,x3416),f509(x3413,x3414,x3412,x3415,x3416)) % 199.88/201.01 [342]~E(x3421,x3422)+E(f509(x3423,x3424,x3425,x3421,x3426),f509(x3423,x3424,x3425,x3422,x3426)) % 199.88/201.01 [343]~E(x3431,x3432)+E(f509(x3433,x3434,x3435,x3436,x3431),f509(x3433,x3434,x3435,x3436,x3432)) % 199.88/201.01 [344]~E(x3441,x3442)+E(f219(x3441,x3443,x3444,x3445),f219(x3442,x3443,x3444,x3445)) % 199.88/201.01 [345]~E(x3451,x3452)+E(f219(x3453,x3451,x3454,x3455),f219(x3453,x3452,x3454,x3455)) % 199.88/201.01 [346]~E(x3461,x3462)+E(f219(x3463,x3464,x3461,x3465),f219(x3463,x3464,x3462,x3465)) % 199.88/201.01 [347]~E(x3471,x3472)+E(f219(x3473,x3474,x3475,x3471),f219(x3473,x3474,x3475,x3472)) % 199.88/201.01 [348]~E(x3481,x3482)+E(f766(x3481,x3483,x3484),f766(x3482,x3483,x3484)) % 199.88/201.01 [349]~E(x3491,x3492)+E(f766(x3493,x3491,x3494),f766(x3493,x3492,x3494)) % 199.88/201.01 [350]~E(x3501,x3502)+E(f766(x3503,x3504,x3501),f766(x3503,x3504,x3502)) % 199.88/201.01 [351]~E(x3511,x3512)+E(f210(x3511,x3513,x3514,x3515),f210(x3512,x3513,x3514,x3515)) % 199.88/201.01 [352]~E(x3521,x3522)+E(f210(x3523,x3521,x3524,x3525),f210(x3523,x3522,x3524,x3525)) % 199.88/201.01 [353]~E(x3531,x3532)+E(f210(x3533,x3534,x3531,x3535),f210(x3533,x3534,x3532,x3535)) % 199.88/201.01 [354]~E(x3541,x3542)+E(f210(x3543,x3544,x3545,x3541),f210(x3543,x3544,x3545,x3542)) % 199.88/201.01 [355]~E(x3551,x3552)+E(f847(x3551,x3553,x3554),f847(x3552,x3553,x3554)) % 199.88/201.01 [356]~E(x3561,x3562)+E(f847(x3563,x3561,x3564),f847(x3563,x3562,x3564)) % 199.88/201.01 [357]~E(x3571,x3572)+E(f847(x3573,x3574,x3571),f847(x3573,x3574,x3572)) % 199.88/201.01 [358]~E(x3581,x3582)+E(f572(x3581,x3583,x3584,x3585,x3586,x3587,x3588),f572(x3582,x3583,x3584,x3585,x3586,x3587,x3588)) % 199.88/201.01 [359]~E(x3591,x3592)+E(f572(x3593,x3591,x3594,x3595,x3596,x3597,x3598),f572(x3593,x3592,x3594,x3595,x3596,x3597,x3598)) % 199.88/201.01 [360]~E(x3601,x3602)+E(f572(x3603,x3604,x3601,x3605,x3606,x3607,x3608),f572(x3603,x3604,x3602,x3605,x3606,x3607,x3608)) % 199.88/201.01 [361]~E(x3611,x3612)+E(f572(x3613,x3614,x3615,x3611,x3616,x3617,x3618),f572(x3613,x3614,x3615,x3612,x3616,x3617,x3618)) % 199.88/201.01 [362]~E(x3621,x3622)+E(f572(x3623,x3624,x3625,x3626,x3621,x3627,x3628),f572(x3623,x3624,x3625,x3626,x3622,x3627,x3628)) % 199.88/201.01 [363]~E(x3631,x3632)+E(f572(x3633,x3634,x3635,x3636,x3637,x3631,x3638),f572(x3633,x3634,x3635,x3636,x3637,x3632,x3638)) % 199.88/201.01 [364]~E(x3641,x3642)+E(f572(x3643,x3644,x3645,x3646,x3647,x3648,x3641),f572(x3643,x3644,x3645,x3646,x3647,x3648,x3642)) % 199.88/201.01 [365]~E(x3651,x3652)+E(f749(x3651,x3653,x3654,x3655),f749(x3652,x3653,x3654,x3655)) % 199.88/201.01 [366]~E(x3661,x3662)+E(f749(x3663,x3661,x3664,x3665),f749(x3663,x3662,x3664,x3665)) % 199.88/201.01 [367]~E(x3671,x3672)+E(f749(x3673,x3674,x3671,x3675),f749(x3673,x3674,x3672,x3675)) % 199.88/201.01 [368]~E(x3681,x3682)+E(f749(x3683,x3684,x3685,x3681),f749(x3683,x3684,x3685,x3682)) % 199.88/201.01 [369]~E(x3691,x3692)+E(f100(x3691),f100(x3692)) % 199.88/201.01 [370]~E(x3701,x3702)+E(f437(x3701,x3703,x3704),f437(x3702,x3703,x3704)) % 199.88/201.01 [371]~E(x3711,x3712)+E(f437(x3713,x3711,x3714),f437(x3713,x3712,x3714)) % 199.88/201.01 [372]~E(x3721,x3722)+E(f437(x3723,x3724,x3721),f437(x3723,x3724,x3722)) % 199.88/201.01 [373]~E(x3731,x3732)+E(f306(x3731,x3733),f306(x3732,x3733)) % 199.88/201.01 [374]~E(x3741,x3742)+E(f306(x3743,x3741),f306(x3743,x3742)) % 199.88/201.01 [375]~E(x3751,x3752)+E(f548(x3751,x3753),f548(x3752,x3753)) % 199.88/201.01 [376]~E(x3761,x3762)+E(f548(x3763,x3761),f548(x3763,x3762)) % 199.88/201.01 [377]~E(x3771,x3772)+E(f827(x3771,x3773,x3774,x3775,x3776,x3777),f827(x3772,x3773,x3774,x3775,x3776,x3777)) % 199.88/201.01 [378]~E(x3781,x3782)+E(f827(x3783,x3781,x3784,x3785,x3786,x3787),f827(x3783,x3782,x3784,x3785,x3786,x3787)) % 199.88/201.01 [379]~E(x3791,x3792)+E(f827(x3793,x3794,x3791,x3795,x3796,x3797),f827(x3793,x3794,x3792,x3795,x3796,x3797)) % 199.88/201.01 [380]~E(x3801,x3802)+E(f827(x3803,x3804,x3805,x3801,x3806,x3807),f827(x3803,x3804,x3805,x3802,x3806,x3807)) % 199.88/201.01 [381]~E(x3811,x3812)+E(f827(x3813,x3814,x3815,x3816,x3811,x3817),f827(x3813,x3814,x3815,x3816,x3812,x3817)) % 199.88/201.01 [382]~E(x3821,x3822)+E(f827(x3823,x3824,x3825,x3826,x3827,x3821),f827(x3823,x3824,x3825,x3826,x3827,x3822)) % 199.88/201.01 [383]~E(x3831,x3832)+E(f275(x3831,x3833,x3834),f275(x3832,x3833,x3834)) % 199.88/201.01 [384]~E(x3841,x3842)+E(f275(x3843,x3841,x3844),f275(x3843,x3842,x3844)) % 199.88/201.01 [385]~E(x3851,x3852)+E(f275(x3853,x3854,x3851),f275(x3853,x3854,x3852)) % 199.88/201.01 [386]~E(x3861,x3862)+E(f698(x3861,x3863),f698(x3862,x3863)) % 199.88/201.01 [387]~E(x3871,x3872)+E(f698(x3873,x3871),f698(x3873,x3872)) % 199.88/201.01 [388]~E(x3881,x3882)+E(f240(x3881,x3883,x3884),f240(x3882,x3883,x3884)) % 199.88/201.01 [389]~E(x3891,x3892)+E(f240(x3893,x3891,x3894),f240(x3893,x3892,x3894)) % 199.88/201.01 [390]~E(x3901,x3902)+E(f240(x3903,x3904,x3901),f240(x3903,x3904,x3902)) % 199.88/201.01 [391]~E(x3911,x3912)+E(f109(x3911),f109(x3912)) % 199.88/201.01 [392]~E(x3921,x3922)+E(f110(x3921,x3923),f110(x3922,x3923)) % 199.88/201.01 [393]~E(x3931,x3932)+E(f110(x3933,x3931),f110(x3933,x3932)) % 199.88/201.01 [394]~E(x3941,x3942)+E(f248(x3941,x3943,x3944,x3945,x3946,x3947),f248(x3942,x3943,x3944,x3945,x3946,x3947)) % 199.88/201.01 [395]~E(x3951,x3952)+E(f248(x3953,x3951,x3954,x3955,x3956,x3957),f248(x3953,x3952,x3954,x3955,x3956,x3957)) % 199.88/201.01 [396]~E(x3961,x3962)+E(f248(x3963,x3964,x3961,x3965,x3966,x3967),f248(x3963,x3964,x3962,x3965,x3966,x3967)) % 199.88/201.01 [397]~E(x3971,x3972)+E(f248(x3973,x3974,x3975,x3971,x3976,x3977),f248(x3973,x3974,x3975,x3972,x3976,x3977)) % 199.88/201.01 [398]~E(x3981,x3982)+E(f248(x3983,x3984,x3985,x3986,x3981,x3987),f248(x3983,x3984,x3985,x3986,x3982,x3987)) % 199.88/201.01 [399]~E(x3991,x3992)+E(f248(x3993,x3994,x3995,x3996,x3997,x3991),f248(x3993,x3994,x3995,x3996,x3997,x3992)) % 199.88/201.01 [400]~E(x4001,x4002)+E(f764(x4001,x4003,x4004,x4005,x4006,x4007,x4008),f764(x4002,x4003,x4004,x4005,x4006,x4007,x4008)) % 199.88/201.01 [401]~E(x4011,x4012)+E(f764(x4013,x4011,x4014,x4015,x4016,x4017,x4018),f764(x4013,x4012,x4014,x4015,x4016,x4017,x4018)) % 199.88/201.01 [402]~E(x4021,x4022)+E(f764(x4023,x4024,x4021,x4025,x4026,x4027,x4028),f764(x4023,x4024,x4022,x4025,x4026,x4027,x4028)) % 199.88/201.01 [403]~E(x4031,x4032)+E(f764(x4033,x4034,x4035,x4031,x4036,x4037,x4038),f764(x4033,x4034,x4035,x4032,x4036,x4037,x4038)) % 199.88/201.01 [404]~E(x4041,x4042)+E(f764(x4043,x4044,x4045,x4046,x4041,x4047,x4048),f764(x4043,x4044,x4045,x4046,x4042,x4047,x4048)) % 199.88/201.01 [405]~E(x4051,x4052)+E(f764(x4053,x4054,x4055,x4056,x4057,x4051,x4058),f764(x4053,x4054,x4055,x4056,x4057,x4052,x4058)) % 199.88/201.01 [406]~E(x4061,x4062)+E(f764(x4063,x4064,x4065,x4066,x4067,x4068,x4061),f764(x4063,x4064,x4065,x4066,x4067,x4068,x4062)) % 199.88/201.01 [407]~E(x4071,x4072)+E(f518(x4071,x4073,x4074,x4075,x4076,x4077,x4078),f518(x4072,x4073,x4074,x4075,x4076,x4077,x4078)) % 199.88/201.01 [408]~E(x4081,x4082)+E(f518(x4083,x4081,x4084,x4085,x4086,x4087,x4088),f518(x4083,x4082,x4084,x4085,x4086,x4087,x4088)) % 199.88/201.01 [409]~E(x4091,x4092)+E(f518(x4093,x4094,x4091,x4095,x4096,x4097,x4098),f518(x4093,x4094,x4092,x4095,x4096,x4097,x4098)) % 199.88/201.01 [410]~E(x4101,x4102)+E(f518(x4103,x4104,x4105,x4101,x4106,x4107,x4108),f518(x4103,x4104,x4105,x4102,x4106,x4107,x4108)) % 199.88/201.01 [411]~E(x4111,x4112)+E(f518(x4113,x4114,x4115,x4116,x4111,x4117,x4118),f518(x4113,x4114,x4115,x4116,x4112,x4117,x4118)) % 199.88/201.01 [412]~E(x4121,x4122)+E(f518(x4123,x4124,x4125,x4126,x4127,x4121,x4128),f518(x4123,x4124,x4125,x4126,x4127,x4122,x4128)) % 199.88/201.01 [413]~E(x4131,x4132)+E(f518(x4133,x4134,x4135,x4136,x4137,x4138,x4131),f518(x4133,x4134,x4135,x4136,x4137,x4138,x4132)) % 199.88/201.01 [414]~E(x4141,x4142)+E(f725(x4141,x4143,x4144,x4145,x4146,x4147),f725(x4142,x4143,x4144,x4145,x4146,x4147)) % 199.88/201.01 [415]~E(x4151,x4152)+E(f725(x4153,x4151,x4154,x4155,x4156,x4157),f725(x4153,x4152,x4154,x4155,x4156,x4157)) % 199.88/201.01 [416]~E(x4161,x4162)+E(f725(x4163,x4164,x4161,x4165,x4166,x4167),f725(x4163,x4164,x4162,x4165,x4166,x4167)) % 199.88/201.01 [417]~E(x4171,x4172)+E(f725(x4173,x4174,x4175,x4171,x4176,x4177),f725(x4173,x4174,x4175,x4172,x4176,x4177)) % 199.88/201.01 [418]~E(x4181,x4182)+E(f725(x4183,x4184,x4185,x4186,x4181,x4187),f725(x4183,x4184,x4185,x4186,x4182,x4187)) % 199.88/201.01 [419]~E(x4191,x4192)+E(f725(x4193,x4194,x4195,x4196,x4197,x4191),f725(x4193,x4194,x4195,x4196,x4197,x4192)) % 199.88/201.01 [420]~E(x4201,x4202)+E(f79(x4201,x4203),f79(x4202,x4203)) % 199.88/201.01 [421]~E(x4211,x4212)+E(f79(x4213,x4211),f79(x4213,x4212)) % 199.88/201.01 [422]~E(x4221,x4222)+E(f770(x4221,x4223),f770(x4222,x4223)) % 199.88/201.01 [423]~E(x4231,x4232)+E(f770(x4233,x4231),f770(x4233,x4232)) % 199.88/201.01 [424]~E(x4241,x4242)+E(f84(x4241,x4243),f84(x4242,x4243)) % 199.88/201.01 [425]~E(x4251,x4252)+E(f84(x4253,x4251),f84(x4253,x4252)) % 199.88/201.01 [426]~E(x4261,x4262)+E(f168(x4261,x4263),f168(x4262,x4263)) % 199.88/201.01 [427]~E(x4271,x4272)+E(f168(x4273,x4271),f168(x4273,x4272)) % 199.88/201.01 [428]~E(x4281,x4282)+E(f143(x4281,x4283),f143(x4282,x4283)) % 199.88/201.01 [429]~E(x4291,x4292)+E(f143(x4293,x4291),f143(x4293,x4292)) % 199.88/201.01 [430]~E(x4301,x4302)+E(f253(x4301,x4303),f253(x4302,x4303)) % 199.88/201.01 [431]~E(x4311,x4312)+E(f253(x4313,x4311),f253(x4313,x4312)) % 199.88/201.01 [432]~E(x4321,x4322)+E(f117(x4321,x4323,x4324,x4325,x4326),f117(x4322,x4323,x4324,x4325,x4326)) % 199.88/201.01 [433]~E(x4331,x4332)+E(f117(x4333,x4331,x4334,x4335,x4336),f117(x4333,x4332,x4334,x4335,x4336)) % 199.88/201.01 [434]~E(x4341,x4342)+E(f117(x4343,x4344,x4341,x4345,x4346),f117(x4343,x4344,x4342,x4345,x4346)) % 199.88/201.01 [435]~E(x4351,x4352)+E(f117(x4353,x4354,x4355,x4351,x4356),f117(x4353,x4354,x4355,x4352,x4356)) % 199.88/201.01 [436]~E(x4361,x4362)+E(f117(x4363,x4364,x4365,x4366,x4361),f117(x4363,x4364,x4365,x4366,x4362)) % 199.88/201.01 [437]~E(x4371,x4372)+E(f176(x4371),f176(x4372)) % 199.88/201.01 [438]~E(x4381,x4382)+E(f865(x4381,x4383,x4384),f865(x4382,x4383,x4384)) % 199.88/201.01 [439]~E(x4391,x4392)+E(f865(x4393,x4391,x4394),f865(x4393,x4392,x4394)) % 199.88/201.01 [440]~E(x4401,x4402)+E(f865(x4403,x4404,x4401),f865(x4403,x4404,x4402)) % 199.88/201.01 [441]~E(x4411,x4412)+E(f701(x4411,x4413,x4414,x4415),f701(x4412,x4413,x4414,x4415)) % 199.88/201.01 [442]~E(x4421,x4422)+E(f701(x4423,x4421,x4424,x4425),f701(x4423,x4422,x4424,x4425)) % 199.88/201.01 [443]~E(x4431,x4432)+E(f701(x4433,x4434,x4431,x4435),f701(x4433,x4434,x4432,x4435)) % 199.88/201.01 [444]~E(x4441,x4442)+E(f701(x4443,x4444,x4445,x4441),f701(x4443,x4444,x4445,x4442)) % 199.88/201.01 [445]~E(x4451,x4452)+E(f678(x4451,x4453,x4454,x4455,x4456),f678(x4452,x4453,x4454,x4455,x4456)) % 199.88/201.01 [446]~E(x4461,x4462)+E(f678(x4463,x4461,x4464,x4465,x4466),f678(x4463,x4462,x4464,x4465,x4466)) % 199.88/201.01 [447]~E(x4471,x4472)+E(f678(x4473,x4474,x4471,x4475,x4476),f678(x4473,x4474,x4472,x4475,x4476)) % 199.88/201.01 [448]~E(x4481,x4482)+E(f678(x4483,x4484,x4485,x4481,x4486),f678(x4483,x4484,x4485,x4482,x4486)) % 199.88/201.01 [449]~E(x4491,x4492)+E(f678(x4493,x4494,x4495,x4496,x4491),f678(x4493,x4494,x4495,x4496,x4492)) % 199.88/201.01 [450]~E(x4501,x4502)+E(f859(x4501,x4503,x4504),f859(x4502,x4503,x4504)) % 199.88/201.01 [451]~E(x4511,x4512)+E(f859(x4513,x4511,x4514),f859(x4513,x4512,x4514)) % 199.88/201.01 [452]~E(x4521,x4522)+E(f859(x4523,x4524,x4521),f859(x4523,x4524,x4522)) % 199.88/201.01 [453]~E(x4531,x4532)+E(f563(x4531,x4533,x4534),f563(x4532,x4533,x4534)) % 199.88/201.01 [454]~E(x4541,x4542)+E(f563(x4543,x4541,x4544),f563(x4543,x4542,x4544)) % 199.88/201.01 [455]~E(x4551,x4552)+E(f563(x4553,x4554,x4551),f563(x4553,x4554,x4552)) % 199.88/201.01 [456]~E(x4561,x4562)+E(f195(x4561,x4563,x4564,x4565),f195(x4562,x4563,x4564,x4565)) % 199.88/201.01 [457]~E(x4571,x4572)+E(f195(x4573,x4571,x4574,x4575),f195(x4573,x4572,x4574,x4575)) % 199.88/201.01 [458]~E(x4581,x4582)+E(f195(x4583,x4584,x4581,x4585),f195(x4583,x4584,x4582,x4585)) % 199.88/201.01 [459]~E(x4591,x4592)+E(f195(x4593,x4594,x4595,x4591),f195(x4593,x4594,x4595,x4592)) % 199.88/201.01 [460]~E(x4601,x4602)+E(f60(x4601,x4603,x4604,x4605,x4606),f60(x4602,x4603,x4604,x4605,x4606)) % 199.88/201.01 [461]~E(x4611,x4612)+E(f60(x4613,x4611,x4614,x4615,x4616),f60(x4613,x4612,x4614,x4615,x4616)) % 199.88/201.01 [462]~E(x4621,x4622)+E(f60(x4623,x4624,x4621,x4625,x4626),f60(x4623,x4624,x4622,x4625,x4626)) % 199.88/201.01 [463]~E(x4631,x4632)+E(f60(x4633,x4634,x4635,x4631,x4636),f60(x4633,x4634,x4635,x4632,x4636)) % 199.88/201.01 [464]~E(x4641,x4642)+E(f60(x4643,x4644,x4645,x4646,x4641),f60(x4643,x4644,x4645,x4646,x4642)) % 199.88/201.01 [465]~E(x4651,x4652)+E(f648(x4651,x4653),f648(x4652,x4653)) % 199.88/201.01 [466]~E(x4661,x4662)+E(f648(x4663,x4661),f648(x4663,x4662)) % 199.88/201.01 [467]~E(x4671,x4672)+E(f413(x4671,x4673,x4674),f413(x4672,x4673,x4674)) % 199.88/201.01 [468]~E(x4681,x4682)+E(f413(x4683,x4681,x4684),f413(x4683,x4682,x4684)) % 199.88/201.01 [469]~E(x4691,x4692)+E(f413(x4693,x4694,x4691),f413(x4693,x4694,x4692)) % 199.88/201.01 [470]~E(x4701,x4702)+E(f363(x4701,x4703,x4704,x4705,x4706,x4707,x4708),f363(x4702,x4703,x4704,x4705,x4706,x4707,x4708)) % 199.88/201.01 [471]~E(x4711,x4712)+E(f363(x4713,x4711,x4714,x4715,x4716,x4717,x4718),f363(x4713,x4712,x4714,x4715,x4716,x4717,x4718)) % 199.88/201.01 [472]~E(x4721,x4722)+E(f363(x4723,x4724,x4721,x4725,x4726,x4727,x4728),f363(x4723,x4724,x4722,x4725,x4726,x4727,x4728)) % 199.88/201.01 [473]~E(x4731,x4732)+E(f363(x4733,x4734,x4735,x4731,x4736,x4737,x4738),f363(x4733,x4734,x4735,x4732,x4736,x4737,x4738)) % 199.88/201.01 [474]~E(x4741,x4742)+E(f363(x4743,x4744,x4745,x4746,x4741,x4747,x4748),f363(x4743,x4744,x4745,x4746,x4742,x4747,x4748)) % 199.88/201.01 [475]~E(x4751,x4752)+E(f363(x4753,x4754,x4755,x4756,x4757,x4751,x4758),f363(x4753,x4754,x4755,x4756,x4757,x4752,x4758)) % 199.88/201.01 [476]~E(x4761,x4762)+E(f363(x4763,x4764,x4765,x4766,x4767,x4768,x4761),f363(x4763,x4764,x4765,x4766,x4767,x4768,x4762)) % 199.88/201.01 [477]~E(x4771,x4772)+E(f411(x4771,x4773,x4774),f411(x4772,x4773,x4774)) % 199.88/201.01 [478]~E(x4781,x4782)+E(f411(x4783,x4781,x4784),f411(x4783,x4782,x4784)) % 199.88/201.01 [479]~E(x4791,x4792)+E(f411(x4793,x4794,x4791),f411(x4793,x4794,x4792)) % 199.88/201.01 [480]~E(x4801,x4802)+E(f391(x4801,x4803,x4804),f391(x4802,x4803,x4804)) % 199.88/201.01 [481]~E(x4811,x4812)+E(f391(x4813,x4811,x4814),f391(x4813,x4812,x4814)) % 199.88/201.01 [482]~E(x4821,x4822)+E(f391(x4823,x4824,x4821),f391(x4823,x4824,x4822)) % 199.88/201.01 [483]~E(x4831,x4832)+E(f160(x4831,x4833,x4834),f160(x4832,x4833,x4834)) % 199.88/201.01 [484]~E(x4841,x4842)+E(f160(x4843,x4841,x4844),f160(x4843,x4842,x4844)) % 199.88/201.01 [485]~E(x4851,x4852)+E(f160(x4853,x4854,x4851),f160(x4853,x4854,x4852)) % 199.88/201.01 [486]~E(x4861,x4862)+E(f582(x4861,x4863,x4864,x4865,x4866,x4867,x4868,x4869),f582(x4862,x4863,x4864,x4865,x4866,x4867,x4868,x4869)) % 199.88/201.01 [487]~E(x4871,x4872)+E(f582(x4873,x4871,x4874,x4875,x4876,x4877,x4878,x4879),f582(x4873,x4872,x4874,x4875,x4876,x4877,x4878,x4879)) % 199.88/201.01 [488]~E(x4881,x4882)+E(f582(x4883,x4884,x4881,x4885,x4886,x4887,x4888,x4889),f582(x4883,x4884,x4882,x4885,x4886,x4887,x4888,x4889)) % 199.88/201.01 [489]~E(x4891,x4892)+E(f582(x4893,x4894,x4895,x4891,x4896,x4897,x4898,x4899),f582(x4893,x4894,x4895,x4892,x4896,x4897,x4898,x4899)) % 199.88/201.01 [490]~E(x4901,x4902)+E(f582(x4903,x4904,x4905,x4906,x4901,x4907,x4908,x4909),f582(x4903,x4904,x4905,x4906,x4902,x4907,x4908,x4909)) % 199.88/201.01 [491]~E(x4911,x4912)+E(f582(x4913,x4914,x4915,x4916,x4917,x4911,x4918,x4919),f582(x4913,x4914,x4915,x4916,x4917,x4912,x4918,x4919)) % 199.88/201.01 [492]~E(x4921,x4922)+E(f582(x4923,x4924,x4925,x4926,x4927,x4928,x4921,x4929),f582(x4923,x4924,x4925,x4926,x4927,x4928,x4922,x4929)) % 199.88/201.01 [493]~E(x4931,x4932)+E(f582(x4933,x4934,x4935,x4936,x4937,x4938,x4939,x4931),f582(x4933,x4934,x4935,x4936,x4937,x4938,x4939,x4932)) % 199.88/201.01 [494]~E(x4941,x4942)+E(f388(x4941,x4943,x4944,x4945),f388(x4942,x4943,x4944,x4945)) % 199.88/201.01 [495]~E(x4951,x4952)+E(f388(x4953,x4951,x4954,x4955),f388(x4953,x4952,x4954,x4955)) % 199.88/201.01 [496]~E(x4961,x4962)+E(f388(x4963,x4964,x4961,x4965),f388(x4963,x4964,x4962,x4965)) % 199.88/201.01 [497]~E(x4971,x4972)+E(f388(x4973,x4974,x4975,x4971),f388(x4973,x4974,x4975,x4972)) % 199.88/201.01 [498]~E(x4981,x4982)+E(f763(x4981,x4983,x4984,x4985,x4986,x4987,x4988),f763(x4982,x4983,x4984,x4985,x4986,x4987,x4988)) % 199.88/201.01 [499]~E(x4991,x4992)+E(f763(x4993,x4991,x4994,x4995,x4996,x4997,x4998),f763(x4993,x4992,x4994,x4995,x4996,x4997,x4998)) % 199.88/201.01 [500]~E(x5001,x5002)+E(f763(x5003,x5004,x5001,x5005,x5006,x5007,x5008),f763(x5003,x5004,x5002,x5005,x5006,x5007,x5008)) % 199.88/201.01 [501]~E(x5011,x5012)+E(f763(x5013,x5014,x5015,x5011,x5016,x5017,x5018),f763(x5013,x5014,x5015,x5012,x5016,x5017,x5018)) % 199.88/201.01 [502]~E(x5021,x5022)+E(f763(x5023,x5024,x5025,x5026,x5021,x5027,x5028),f763(x5023,x5024,x5025,x5026,x5022,x5027,x5028)) % 199.88/201.01 [503]~E(x5031,x5032)+E(f763(x5033,x5034,x5035,x5036,x5037,x5031,x5038),f763(x5033,x5034,x5035,x5036,x5037,x5032,x5038)) % 199.88/201.01 [504]~E(x5041,x5042)+E(f763(x5043,x5044,x5045,x5046,x5047,x5048,x5041),f763(x5043,x5044,x5045,x5046,x5047,x5048,x5042)) % 199.88/201.01 [505]~E(x5051,x5052)+E(f584(x5051,x5053,x5054,x5055,x5056),f584(x5052,x5053,x5054,x5055,x5056)) % 199.88/201.01 [506]~E(x5061,x5062)+E(f584(x5063,x5061,x5064,x5065,x5066),f584(x5063,x5062,x5064,x5065,x5066)) % 199.88/201.01 [507]~E(x5071,x5072)+E(f584(x5073,x5074,x5071,x5075,x5076),f584(x5073,x5074,x5072,x5075,x5076)) % 199.88/201.01 [508]~E(x5081,x5082)+E(f584(x5083,x5084,x5085,x5081,x5086),f584(x5083,x5084,x5085,x5082,x5086)) % 199.88/201.01 [509]~E(x5091,x5092)+E(f584(x5093,x5094,x5095,x5096,x5091),f584(x5093,x5094,x5095,x5096,x5092)) % 199.88/201.01 [510]~E(x5101,x5102)+E(f427(x5101,x5103,x5104,x5105,x5106),f427(x5102,x5103,x5104,x5105,x5106)) % 199.88/201.01 [511]~E(x5111,x5112)+E(f427(x5113,x5111,x5114,x5115,x5116),f427(x5113,x5112,x5114,x5115,x5116)) % 199.88/201.01 [512]~E(x5121,x5122)+E(f427(x5123,x5124,x5121,x5125,x5126),f427(x5123,x5124,x5122,x5125,x5126)) % 199.88/201.01 [513]~E(x5131,x5132)+E(f427(x5133,x5134,x5135,x5131,x5136),f427(x5133,x5134,x5135,x5132,x5136)) % 199.88/201.01 [514]~E(x5141,x5142)+E(f427(x5143,x5144,x5145,x5146,x5141),f427(x5143,x5144,x5145,x5146,x5142)) % 199.88/201.01 [515]~E(x5151,x5152)+E(f138(x5151,x5153,x5154),f138(x5152,x5153,x5154)) % 199.88/201.01 [516]~E(x5161,x5162)+E(f138(x5163,x5161,x5164),f138(x5163,x5162,x5164)) % 199.88/201.01 [517]~E(x5171,x5172)+E(f138(x5173,x5174,x5171),f138(x5173,x5174,x5172)) % 199.88/201.01 [518]~E(x5181,x5182)+E(f758(x5181,x5183,x5184,x5185),f758(x5182,x5183,x5184,x5185)) % 199.88/201.01 [519]~E(x5191,x5192)+E(f758(x5193,x5191,x5194,x5195),f758(x5193,x5192,x5194,x5195)) % 199.88/201.01 [520]~E(x5201,x5202)+E(f758(x5203,x5204,x5201,x5205),f758(x5203,x5204,x5202,x5205)) % 199.88/201.01 [521]~E(x5211,x5212)+E(f758(x5213,x5214,x5215,x5211),f758(x5213,x5214,x5215,x5212)) % 199.88/201.01 [522]~E(x5221,x5222)+E(f342(x5221,x5223,x5224,x5225),f342(x5222,x5223,x5224,x5225)) % 199.88/201.01 [523]~E(x5231,x5232)+E(f342(x5233,x5231,x5234,x5235),f342(x5233,x5232,x5234,x5235)) % 199.88/201.01 [524]~E(x5241,x5242)+E(f342(x5243,x5244,x5241,x5245),f342(x5243,x5244,x5242,x5245)) % 199.88/201.01 [525]~E(x5251,x5252)+E(f342(x5253,x5254,x5255,x5251),f342(x5253,x5254,x5255,x5252)) % 199.88/201.01 [526]~E(x5261,x5262)+E(f433(x5261),f433(x5262)) % 199.88/201.01 [527]~E(x5271,x5272)+E(f166(x5271,x5273,x5274),f166(x5272,x5273,x5274)) % 199.88/201.01 [528]~E(x5281,x5282)+E(f166(x5283,x5281,x5284),f166(x5283,x5282,x5284)) % 199.88/201.01 [529]~E(x5291,x5292)+E(f166(x5293,x5294,x5291),f166(x5293,x5294,x5292)) % 199.88/201.01 [530]~E(x5301,x5302)+E(f296(x5301,x5303,x5304),f296(x5302,x5303,x5304)) % 199.88/201.01 [531]~E(x5311,x5312)+E(f296(x5313,x5311,x5314),f296(x5313,x5312,x5314)) % 199.88/201.01 [532]~E(x5321,x5322)+E(f296(x5323,x5324,x5321),f296(x5323,x5324,x5322)) % 199.88/201.01 [533]~E(x5331,x5332)+E(f284(x5331,x5333,x5334),f284(x5332,x5333,x5334)) % 199.88/201.01 [534]~E(x5341,x5342)+E(f284(x5343,x5341,x5344),f284(x5343,x5342,x5344)) % 199.88/201.01 [535]~E(x5351,x5352)+E(f284(x5353,x5354,x5351),f284(x5353,x5354,x5352)) % 199.88/201.01 [536]~E(x5361,x5362)+E(f71(x5361,x5363,x5364,x5365),f71(x5362,x5363,x5364,x5365)) % 199.88/201.01 [537]~E(x5371,x5372)+E(f71(x5373,x5371,x5374,x5375),f71(x5373,x5372,x5374,x5375)) % 199.88/201.01 [538]~E(x5381,x5382)+E(f71(x5383,x5384,x5381,x5385),f71(x5383,x5384,x5382,x5385)) % 199.88/201.01 [539]~E(x5391,x5392)+E(f71(x5393,x5394,x5395,x5391),f71(x5393,x5394,x5395,x5392)) % 199.88/201.01 [540]~E(x5401,x5402)+E(f304(x5401),f304(x5402)) % 199.88/201.01 [541]~E(x5411,x5412)+E(f149(x5411,x5413),f149(x5412,x5413)) % 199.88/201.01 [542]~E(x5421,x5422)+E(f149(x5423,x5421),f149(x5423,x5422)) % 199.88/201.01 [543]~E(x5431,x5432)+E(f259(x5431,x5433),f259(x5432,x5433)) % 199.88/201.01 [544]~E(x5441,x5442)+E(f259(x5443,x5441),f259(x5443,x5442)) % 199.88/201.01 [545]~E(x5451,x5452)+E(f856(x5451,x5453),f856(x5452,x5453)) % 199.88/201.01 [546]~E(x5461,x5462)+E(f856(x5463,x5461),f856(x5463,x5462)) % 199.88/201.01 [547]~E(x5471,x5472)+E(f137(x5471,x5473),f137(x5472,x5473)) % 199.88/201.01 [548]~E(x5481,x5482)+E(f137(x5483,x5481),f137(x5483,x5482)) % 199.88/201.01 [549]~E(x5491,x5492)+E(f472(x5491,x5493,x5494,x5495,x5496,x5497,x5498),f472(x5492,x5493,x5494,x5495,x5496,x5497,x5498)) % 199.88/201.01 [550]~E(x5501,x5502)+E(f472(x5503,x5501,x5504,x5505,x5506,x5507,x5508),f472(x5503,x5502,x5504,x5505,x5506,x5507,x5508)) % 199.88/201.01 [551]~E(x5511,x5512)+E(f472(x5513,x5514,x5511,x5515,x5516,x5517,x5518),f472(x5513,x5514,x5512,x5515,x5516,x5517,x5518)) % 199.88/201.01 [552]~E(x5521,x5522)+E(f472(x5523,x5524,x5525,x5521,x5526,x5527,x5528),f472(x5523,x5524,x5525,x5522,x5526,x5527,x5528)) % 199.88/201.01 [553]~E(x5531,x5532)+E(f472(x5533,x5534,x5535,x5536,x5531,x5537,x5538),f472(x5533,x5534,x5535,x5536,x5532,x5537,x5538)) % 199.88/201.01 [554]~E(x5541,x5542)+E(f472(x5543,x5544,x5545,x5546,x5547,x5541,x5548),f472(x5543,x5544,x5545,x5546,x5547,x5542,x5548)) % 199.88/201.01 [555]~E(x5551,x5552)+E(f472(x5553,x5554,x5555,x5556,x5557,x5558,x5551),f472(x5553,x5554,x5555,x5556,x5557,x5558,x5552)) % 199.88/201.01 [556]~E(x5561,x5562)+E(f515(x5561,x5563),f515(x5562,x5563)) % 199.88/201.01 [557]~E(x5571,x5572)+E(f515(x5573,x5571),f515(x5573,x5572)) % 199.88/201.01 [558]~E(x5581,x5582)+E(f569(x5581,x5583,x5584,x5585),f569(x5582,x5583,x5584,x5585)) % 199.88/201.01 [559]~E(x5591,x5592)+E(f569(x5593,x5591,x5594,x5595),f569(x5593,x5592,x5594,x5595)) % 199.88/201.01 [560]~E(x5601,x5602)+E(f569(x5603,x5604,x5601,x5605),f569(x5603,x5604,x5602,x5605)) % 199.88/201.01 [561]~E(x5611,x5612)+E(f569(x5613,x5614,x5615,x5611),f569(x5613,x5614,x5615,x5612)) % 199.88/201.01 [562]~E(x5621,x5622)+E(f744(x5621,x5623,x5624),f744(x5622,x5623,x5624)) % 199.88/201.01 [563]~E(x5631,x5632)+E(f744(x5633,x5631,x5634),f744(x5633,x5632,x5634)) % 199.88/201.01 [564]~E(x5641,x5642)+E(f744(x5643,x5644,x5641),f744(x5643,x5644,x5642)) % 199.88/201.01 [565]~E(x5651,x5652)+E(f213(x5651,x5653,x5654,x5655,x5656),f213(x5652,x5653,x5654,x5655,x5656)) % 199.88/201.01 [566]~E(x5661,x5662)+E(f213(x5663,x5661,x5664,x5665,x5666),f213(x5663,x5662,x5664,x5665,x5666)) % 199.88/201.01 [567]~E(x5671,x5672)+E(f213(x5673,x5674,x5671,x5675,x5676),f213(x5673,x5674,x5672,x5675,x5676)) % 199.88/201.01 [568]~E(x5681,x5682)+E(f213(x5683,x5684,x5685,x5681,x5686),f213(x5683,x5684,x5685,x5682,x5686)) % 199.88/201.01 [569]~E(x5691,x5692)+E(f213(x5693,x5694,x5695,x5696,x5691),f213(x5693,x5694,x5695,x5696,x5692)) % 199.88/201.01 [570]~E(x5701,x5702)+E(f135(x5701,x5703),f135(x5702,x5703)) % 199.88/201.01 [571]~E(x5711,x5712)+E(f135(x5713,x5711),f135(x5713,x5712)) % 199.88/201.01 [572]~E(x5721,x5722)+E(f668(x5721,x5723,x5724),f668(x5722,x5723,x5724)) % 199.88/201.01 [573]~E(x5731,x5732)+E(f668(x5733,x5731,x5734),f668(x5733,x5732,x5734)) % 199.88/201.01 [574]~E(x5741,x5742)+E(f668(x5743,x5744,x5741),f668(x5743,x5744,x5742)) % 199.88/201.01 [575]~E(x5751,x5752)+E(f702(x5751,x5753,x5754,x5755),f702(x5752,x5753,x5754,x5755)) % 199.88/201.01 [576]~E(x5761,x5762)+E(f702(x5763,x5761,x5764,x5765),f702(x5763,x5762,x5764,x5765)) % 199.88/201.01 [577]~E(x5771,x5772)+E(f702(x5773,x5774,x5771,x5775),f702(x5773,x5774,x5772,x5775)) % 199.88/201.01 [578]~E(x5781,x5782)+E(f702(x5783,x5784,x5785,x5781),f702(x5783,x5784,x5785,x5782)) % 199.88/201.01 [579]~E(x5791,x5792)+E(f776(x5791,x5793,x5794,x5795),f776(x5792,x5793,x5794,x5795)) % 199.88/201.01 [580]~E(x5801,x5802)+E(f776(x5803,x5801,x5804,x5805),f776(x5803,x5802,x5804,x5805)) % 199.88/201.01 [581]~E(x5811,x5812)+E(f776(x5813,x5814,x5811,x5815),f776(x5813,x5814,x5812,x5815)) % 199.88/201.01 [582]~E(x5821,x5822)+E(f776(x5823,x5824,x5825,x5821),f776(x5823,x5824,x5825,x5822)) % 199.88/201.01 [583]~E(x5831,x5832)+E(f140(x5831,x5833,x5834,x5835),f140(x5832,x5833,x5834,x5835)) % 199.88/201.01 [584]~E(x5841,x5842)+E(f140(x5843,x5841,x5844,x5845),f140(x5843,x5842,x5844,x5845)) % 199.88/201.01 [585]~E(x5851,x5852)+E(f140(x5853,x5854,x5851,x5855),f140(x5853,x5854,x5852,x5855)) % 199.88/201.01 [586]~E(x5861,x5862)+E(f140(x5863,x5864,x5865,x5861),f140(x5863,x5864,x5865,x5862)) % 199.88/201.01 [587]~E(x5871,x5872)+E(f886(x5871,x5873,x5874,x5875),f886(x5872,x5873,x5874,x5875)) % 199.88/201.01 [588]~E(x5881,x5882)+E(f886(x5883,x5881,x5884,x5885),f886(x5883,x5882,x5884,x5885)) % 199.88/201.01 [589]~E(x5891,x5892)+E(f886(x5893,x5894,x5891,x5895),f886(x5893,x5894,x5892,x5895)) % 199.88/201.01 [590]~E(x5901,x5902)+E(f886(x5903,x5904,x5905,x5901),f886(x5903,x5904,x5905,x5902)) % 199.88/201.01 [591]~E(x5911,x5912)+E(f118(x5911,x5913),f118(x5912,x5913)) % 199.88/201.01 [592]~E(x5921,x5922)+E(f118(x5923,x5921),f118(x5923,x5922)) % 199.88/201.01 [593]~E(x5931,x5932)+E(f876(x5931,x5933),f876(x5932,x5933)) % 199.88/201.01 [594]~E(x5941,x5942)+E(f876(x5943,x5941),f876(x5943,x5942)) % 199.88/201.01 [595]~E(x5951,x5952)+E(f784(x5951),f784(x5952)) % 199.88/201.01 [596]~E(x5961,x5962)+E(f81(x5961),f81(x5962)) % 199.88/201.01 [597]~E(x5971,x5972)+E(f543(x5971,x5973,x5974),f543(x5972,x5973,x5974)) % 199.88/201.01 [598]~E(x5981,x5982)+E(f543(x5983,x5981,x5984),f543(x5983,x5982,x5984)) % 199.88/201.01 [599]~E(x5991,x5992)+E(f543(x5993,x5994,x5991),f543(x5993,x5994,x5992)) % 199.88/201.01 [600]~E(x6001,x6002)+E(f271(x6001),f271(x6002)) % 199.88/201.01 [601]~E(x6011,x6012)+E(f222(x6011,x6013),f222(x6012,x6013)) % 199.88/201.01 [602]~E(x6021,x6022)+E(f222(x6023,x6021),f222(x6023,x6022)) % 199.88/201.01 [603]~E(x6031,x6032)+E(f69(x6031,x6033,x6034,x6035,x6036),f69(x6032,x6033,x6034,x6035,x6036)) % 199.88/201.01 [604]~E(x6041,x6042)+E(f69(x6043,x6041,x6044,x6045,x6046),f69(x6043,x6042,x6044,x6045,x6046)) % 199.88/201.01 [605]~E(x6051,x6052)+E(f69(x6053,x6054,x6051,x6055,x6056),f69(x6053,x6054,x6052,x6055,x6056)) % 199.88/201.01 [606]~E(x6061,x6062)+E(f69(x6063,x6064,x6065,x6061,x6066),f69(x6063,x6064,x6065,x6062,x6066)) % 199.88/201.01 [607]~E(x6071,x6072)+E(f69(x6073,x6074,x6075,x6076,x6071),f69(x6073,x6074,x6075,x6076,x6072)) % 199.88/201.01 [608]~E(x6081,x6082)+E(f180(x6081,x6083,x6084,x6085),f180(x6082,x6083,x6084,x6085)) % 199.88/201.01 [609]~E(x6091,x6092)+E(f180(x6093,x6091,x6094,x6095),f180(x6093,x6092,x6094,x6095)) % 199.88/201.01 [610]~E(x6101,x6102)+E(f180(x6103,x6104,x6101,x6105),f180(x6103,x6104,x6102,x6105)) % 199.88/201.01 [611]~E(x6111,x6112)+E(f180(x6113,x6114,x6115,x6111),f180(x6113,x6114,x6115,x6112)) % 199.88/201.01 [612]~E(x6121,x6122)+E(f86(x6121),f86(x6122)) % 199.88/201.01 [613]~E(x6131,x6132)+E(f258(x6131,x6133),f258(x6132,x6133)) % 199.88/201.01 [614]~E(x6141,x6142)+E(f258(x6143,x6141),f258(x6143,x6142)) % 199.88/201.01 [615]~E(x6151,x6152)+E(f438(x6151,x6153,x6154,x6155,x6156,x6157,x6158),f438(x6152,x6153,x6154,x6155,x6156,x6157,x6158)) % 199.88/201.01 [616]~E(x6161,x6162)+E(f438(x6163,x6161,x6164,x6165,x6166,x6167,x6168),f438(x6163,x6162,x6164,x6165,x6166,x6167,x6168)) % 199.88/201.01 [617]~E(x6171,x6172)+E(f438(x6173,x6174,x6171,x6175,x6176,x6177,x6178),f438(x6173,x6174,x6172,x6175,x6176,x6177,x6178)) % 199.88/201.01 [618]~E(x6181,x6182)+E(f438(x6183,x6184,x6185,x6181,x6186,x6187,x6188),f438(x6183,x6184,x6185,x6182,x6186,x6187,x6188)) % 199.88/201.01 [619]~E(x6191,x6192)+E(f438(x6193,x6194,x6195,x6196,x6191,x6197,x6198),f438(x6193,x6194,x6195,x6196,x6192,x6197,x6198)) % 199.88/201.01 [620]~E(x6201,x6202)+E(f438(x6203,x6204,x6205,x6206,x6207,x6201,x6208),f438(x6203,x6204,x6205,x6206,x6207,x6202,x6208)) % 199.88/201.01 [621]~E(x6211,x6212)+E(f438(x6213,x6214,x6215,x6216,x6217,x6218,x6211),f438(x6213,x6214,x6215,x6216,x6217,x6218,x6212)) % 199.88/201.01 [622]~E(x6221,x6222)+E(f115(x6221,x6223),f115(x6222,x6223)) % 199.88/201.01 [623]~E(x6231,x6232)+E(f115(x6233,x6231),f115(x6233,x6232)) % 199.88/201.01 [624]~E(x6241,x6242)+E(f706(x6241,x6243,x6244,x6245),f706(x6242,x6243,x6244,x6245)) % 199.88/201.01 [625]~E(x6251,x6252)+E(f706(x6253,x6251,x6254,x6255),f706(x6253,x6252,x6254,x6255)) % 199.88/201.01 [626]~E(x6261,x6262)+E(f706(x6263,x6264,x6261,x6265),f706(x6263,x6264,x6262,x6265)) % 199.88/201.01 [627]~E(x6271,x6272)+E(f706(x6273,x6274,x6275,x6271),f706(x6273,x6274,x6275,x6272)) % 199.88/201.01 [628]~E(x6281,x6282)+E(f131(x6281),f131(x6282)) % 199.88/201.01 [629]~E(x6291,x6292)+E(f42(x6291,x6293),f42(x6292,x6293)) % 199.88/201.01 [630]~E(x6301,x6302)+E(f42(x6303,x6301),f42(x6303,x6302)) % 199.88/201.01 [631]~E(x6311,x6312)+E(f239(x6311,x6313,x6314),f239(x6312,x6313,x6314)) % 199.88/201.01 [632]~E(x6321,x6322)+E(f239(x6323,x6321,x6324),f239(x6323,x6322,x6324)) % 199.88/201.01 [633]~E(x6331,x6332)+E(f239(x6333,x6334,x6331),f239(x6333,x6334,x6332)) % 199.88/201.01 [634]~E(x6341,x6342)+E(f491(x6341,x6343,x6344),f491(x6342,x6343,x6344)) % 199.88/201.01 [635]~E(x6351,x6352)+E(f491(x6353,x6351,x6354),f491(x6353,x6352,x6354)) % 199.88/201.01 [636]~E(x6361,x6362)+E(f491(x6363,x6364,x6361),f491(x6363,x6364,x6362)) % 199.88/201.01 [637]~E(x6371,x6372)+E(f373(x6371,x6373),f373(x6372,x6373)) % 199.88/201.01 [638]~E(x6381,x6382)+E(f373(x6383,x6381),f373(x6383,x6382)) % 199.88/201.01 [639]~E(x6391,x6392)+E(f10(x6391,x6393),f10(x6392,x6393)) % 199.88/201.01 [640]~E(x6401,x6402)+E(f10(x6403,x6401),f10(x6403,x6402)) % 199.88/201.01 [641]~E(x6411,x6412)+E(f174(x6411,x6413,x6414),f174(x6412,x6413,x6414)) % 199.88/201.01 [642]~E(x6421,x6422)+E(f174(x6423,x6421,x6424),f174(x6423,x6422,x6424)) % 199.88/201.01 [643]~E(x6431,x6432)+E(f174(x6433,x6434,x6431),f174(x6433,x6434,x6432)) % 199.88/201.01 [644]~E(x6441,x6442)+E(f745(x6441,x6443,x6444),f745(x6442,x6443,x6444)) % 199.88/201.01 [645]~E(x6451,x6452)+E(f745(x6453,x6451,x6454),f745(x6453,x6452,x6454)) % 199.88/201.01 [646]~E(x6461,x6462)+E(f745(x6463,x6464,x6461),f745(x6463,x6464,x6462)) % 199.88/201.01 [647]~E(x6471,x6472)+E(f490(x6471,x6473,x6474),f490(x6472,x6473,x6474)) % 199.88/201.01 [648]~E(x6481,x6482)+E(f490(x6483,x6481,x6484),f490(x6483,x6482,x6484)) % 199.88/201.01 [649]~E(x6491,x6492)+E(f490(x6493,x6494,x6491),f490(x6493,x6494,x6492)) % 199.88/201.01 [650]~E(x6501,x6502)+E(f669(x6501,x6503,x6504),f669(x6502,x6503,x6504)) % 199.88/201.01 [651]~E(x6511,x6512)+E(f669(x6513,x6511,x6514),f669(x6513,x6512,x6514)) % 199.88/201.01 [652]~E(x6521,x6522)+E(f669(x6523,x6524,x6521),f669(x6523,x6524,x6522)) % 199.88/201.01 [653]~E(x6531,x6532)+E(f44(x6531,x6533),f44(x6532,x6533)) % 199.88/201.01 [654]~E(x6541,x6542)+E(f44(x6543,x6541),f44(x6543,x6542)) % 199.88/201.01 [655]~E(x6551,x6552)+E(f790(x6551,x6553,x6554,x6555,x6556),f790(x6552,x6553,x6554,x6555,x6556)) % 199.88/201.01 [656]~E(x6561,x6562)+E(f790(x6563,x6561,x6564,x6565,x6566),f790(x6563,x6562,x6564,x6565,x6566)) % 199.88/201.01 [657]~E(x6571,x6572)+E(f790(x6573,x6574,x6571,x6575,x6576),f790(x6573,x6574,x6572,x6575,x6576)) % 199.88/201.01 [658]~E(x6581,x6582)+E(f790(x6583,x6584,x6585,x6581,x6586),f790(x6583,x6584,x6585,x6582,x6586)) % 199.88/201.01 [659]~E(x6591,x6592)+E(f790(x6593,x6594,x6595,x6596,x6591),f790(x6593,x6594,x6595,x6596,x6592)) % 199.88/201.01 [660]~E(x6601,x6602)+E(f52(x6601),f52(x6602)) % 199.88/201.01 [661]~E(x6611,x6612)+E(f108(x6611,x6613,x6614),f108(x6612,x6613,x6614)) % 199.88/201.01 [662]~E(x6621,x6622)+E(f108(x6623,x6621,x6624),f108(x6623,x6622,x6624)) % 199.88/201.01 [663]~E(x6631,x6632)+E(f108(x6633,x6634,x6631),f108(x6633,x6634,x6632)) % 199.88/201.01 [664]~E(x6641,x6642)+E(f645(x6641,x6643,x6644,x6645),f645(x6642,x6643,x6644,x6645)) % 199.88/201.01 [665]~E(x6651,x6652)+E(f645(x6653,x6651,x6654,x6655),f645(x6653,x6652,x6654,x6655)) % 199.88/201.01 [666]~E(x6661,x6662)+E(f645(x6663,x6664,x6661,x6665),f645(x6663,x6664,x6662,x6665)) % 199.88/201.01 [667]~E(x6671,x6672)+E(f645(x6673,x6674,x6675,x6671),f645(x6673,x6674,x6675,x6672)) % 199.88/201.01 [668]~E(x6681,x6682)+E(f274(x6681,x6683),f274(x6682,x6683)) % 199.88/201.01 [669]~E(x6691,x6692)+E(f274(x6693,x6691),f274(x6693,x6692)) % 199.88/201.01 [670]~E(x6701,x6702)+E(f134(x6701,x6703),f134(x6702,x6703)) % 199.88/201.01 [671]~E(x6711,x6712)+E(f134(x6713,x6711),f134(x6713,x6712)) % 199.88/201.01 [672]~E(x6721,x6722)+E(f146(x6721,x6723,x6724,x6725),f146(x6722,x6723,x6724,x6725)) % 199.88/201.01 [673]~E(x6731,x6732)+E(f146(x6733,x6731,x6734,x6735),f146(x6733,x6732,x6734,x6735)) % 199.88/201.01 [674]~E(x6741,x6742)+E(f146(x6743,x6744,x6741,x6745),f146(x6743,x6744,x6742,x6745)) % 199.88/201.01 [675]~E(x6751,x6752)+E(f146(x6753,x6754,x6755,x6751),f146(x6753,x6754,x6755,x6752)) % 199.88/201.01 [676]~E(x6761,x6762)+E(f858(x6761,x6763,x6764),f858(x6762,x6763,x6764)) % 199.88/201.01 [677]~E(x6771,x6772)+E(f858(x6773,x6771,x6774),f858(x6773,x6772,x6774)) % 199.88/201.01 [678]~E(x6781,x6782)+E(f858(x6783,x6784,x6781),f858(x6783,x6784,x6782)) % 199.88/201.01 [679]~E(x6791,x6792)+E(f718(x6791,x6793,x6794,x6795),f718(x6792,x6793,x6794,x6795)) % 199.88/201.01 [680]~E(x6801,x6802)+E(f718(x6803,x6801,x6804,x6805),f718(x6803,x6802,x6804,x6805)) % 199.88/201.01 [681]~E(x6811,x6812)+E(f718(x6813,x6814,x6811,x6815),f718(x6813,x6814,x6812,x6815)) % 199.88/201.01 [682]~E(x6821,x6822)+E(f718(x6823,x6824,x6825,x6821),f718(x6823,x6824,x6825,x6822)) % 199.88/201.01 [683]~E(x6831,x6832)+E(f50(x6831,x6833,x6834),f50(x6832,x6833,x6834)) % 199.88/201.01 [684]~E(x6841,x6842)+E(f50(x6843,x6841,x6844),f50(x6843,x6842,x6844)) % 199.88/201.01 [685]~E(x6851,x6852)+E(f50(x6853,x6854,x6851),f50(x6853,x6854,x6852)) % 199.88/201.01 [686]~E(x6861,x6862)+E(f184(x6861,x6863),f184(x6862,x6863)) % 199.88/201.01 [687]~E(x6871,x6872)+E(f184(x6873,x6871),f184(x6873,x6872)) % 199.88/201.01 [688]~E(x6881,x6882)+E(f435(x6881,x6883,x6884),f435(x6882,x6883,x6884)) % 199.88/201.01 [689]~E(x6891,x6892)+E(f435(x6893,x6891,x6894),f435(x6893,x6892,x6894)) % 199.88/201.01 [690]~E(x6901,x6902)+E(f435(x6903,x6904,x6901),f435(x6903,x6904,x6902)) % 199.88/201.01 [691]~E(x6911,x6912)+E(f374(x6911,x6913),f374(x6912,x6913)) % 199.88/201.01 [692]~E(x6921,x6922)+E(f374(x6923,x6921),f374(x6923,x6922)) % 199.88/201.01 [693]~E(x6931,x6932)+E(f43(x6931,x6933),f43(x6932,x6933)) % 199.88/201.01 [694]~E(x6941,x6942)+E(f43(x6943,x6941),f43(x6943,x6942)) % 199.88/201.01 [695]~E(x6951,x6952)+E(f581(x6951,x6953,x6954,x6955,x6956,x6957,x6958,x6959),f581(x6952,x6953,x6954,x6955,x6956,x6957,x6958,x6959)) % 199.88/201.01 [696]~E(x6961,x6962)+E(f581(x6963,x6961,x6964,x6965,x6966,x6967,x6968,x6969),f581(x6963,x6962,x6964,x6965,x6966,x6967,x6968,x6969)) % 199.88/201.01 [697]~E(x6971,x6972)+E(f581(x6973,x6974,x6971,x6975,x6976,x6977,x6978,x6979),f581(x6973,x6974,x6972,x6975,x6976,x6977,x6978,x6979)) % 199.88/201.01 [698]~E(x6981,x6982)+E(f581(x6983,x6984,x6985,x6981,x6986,x6987,x6988,x6989),f581(x6983,x6984,x6985,x6982,x6986,x6987,x6988,x6989)) % 199.88/201.01 [699]~E(x6991,x6992)+E(f581(x6993,x6994,x6995,x6996,x6991,x6997,x6998,x6999),f581(x6993,x6994,x6995,x6996,x6992,x6997,x6998,x6999)) % 199.88/201.01 [700]~E(x7001,x7002)+E(f581(x7003,x7004,x7005,x7006,x7007,x7001,x7008,x7009),f581(x7003,x7004,x7005,x7006,x7007,x7002,x7008,x7009)) % 199.88/201.01 [701]~E(x7011,x7012)+E(f581(x7013,x7014,x7015,x7016,x7017,x7018,x7011,x7019),f581(x7013,x7014,x7015,x7016,x7017,x7018,x7012,x7019)) % 199.88/201.01 [702]~E(x7021,x7022)+E(f581(x7023,x7024,x7025,x7026,x7027,x7028,x7029,x7021),f581(x7023,x7024,x7025,x7026,x7027,x7028,x7029,x7022)) % 199.88/201.01 [703]~E(x7031,x7032)+E(f431(x7031,x7033,x7034,x7035,x7036,x7037,x7038),f431(x7032,x7033,x7034,x7035,x7036,x7037,x7038)) % 199.88/201.01 [704]~E(x7041,x7042)+E(f431(x7043,x7041,x7044,x7045,x7046,x7047,x7048),f431(x7043,x7042,x7044,x7045,x7046,x7047,x7048)) % 199.88/201.01 [705]~E(x7051,x7052)+E(f431(x7053,x7054,x7051,x7055,x7056,x7057,x7058),f431(x7053,x7054,x7052,x7055,x7056,x7057,x7058)) % 199.88/201.01 [706]~E(x7061,x7062)+E(f431(x7063,x7064,x7065,x7061,x7066,x7067,x7068),f431(x7063,x7064,x7065,x7062,x7066,x7067,x7068)) % 199.88/201.01 [707]~E(x7071,x7072)+E(f431(x7073,x7074,x7075,x7076,x7071,x7077,x7078),f431(x7073,x7074,x7075,x7076,x7072,x7077,x7078)) % 199.88/201.01 [708]~E(x7081,x7082)+E(f431(x7083,x7084,x7085,x7086,x7087,x7081,x7088),f431(x7083,x7084,x7085,x7086,x7087,x7082,x7088)) % 199.88/201.01 [709]~E(x7091,x7092)+E(f431(x7093,x7094,x7095,x7096,x7097,x7098,x7091),f431(x7093,x7094,x7095,x7096,x7097,x7098,x7092)) % 199.88/201.01 [710]~E(x7101,x7102)+E(f806(x7101,x7103,x7104,x7105,x7106),f806(x7102,x7103,x7104,x7105,x7106)) % 199.88/201.01 [711]~E(x7111,x7112)+E(f806(x7113,x7111,x7114,x7115,x7116),f806(x7113,x7112,x7114,x7115,x7116)) % 199.88/201.01 [712]~E(x7121,x7122)+E(f806(x7123,x7124,x7121,x7125,x7126),f806(x7123,x7124,x7122,x7125,x7126)) % 199.88/201.01 [713]~E(x7131,x7132)+E(f806(x7133,x7134,x7135,x7131,x7136),f806(x7133,x7134,x7135,x7132,x7136)) % 199.88/201.01 [714]~E(x7141,x7142)+E(f806(x7143,x7144,x7145,x7146,x7141),f806(x7143,x7144,x7145,x7146,x7142)) % 199.88/201.01 [715]~E(x7151,x7152)+E(f655(x7151,x7153,x7154),f655(x7152,x7153,x7154)) % 199.88/201.01 [716]~E(x7161,x7162)+E(f655(x7163,x7161,x7164),f655(x7163,x7162,x7164)) % 199.88/201.01 [717]~E(x7171,x7172)+E(f655(x7173,x7174,x7171),f655(x7173,x7174,x7172)) % 199.88/201.01 [718]~E(x7181,x7182)+E(f270(x7181,x7183,x7184,x7185),f270(x7182,x7183,x7184,x7185)) % 199.88/201.01 [719]~E(x7191,x7192)+E(f270(x7193,x7191,x7194,x7195),f270(x7193,x7192,x7194,x7195)) % 199.88/201.01 [720]~E(x7201,x7202)+E(f270(x7203,x7204,x7201,x7205),f270(x7203,x7204,x7202,x7205)) % 199.88/201.01 [721]~E(x7211,x7212)+E(f270(x7213,x7214,x7215,x7211),f270(x7213,x7214,x7215,x7212)) % 199.88/201.01 [722]~E(x7221,x7222)+E(f528(x7221,x7223,x7224,x7225),f528(x7222,x7223,x7224,x7225)) % 199.88/201.01 [723]~E(x7231,x7232)+E(f528(x7233,x7231,x7234,x7235),f528(x7233,x7232,x7234,x7235)) % 199.88/201.01 [724]~E(x7241,x7242)+E(f528(x7243,x7244,x7241,x7245),f528(x7243,x7244,x7242,x7245)) % 199.88/201.01 [725]~E(x7251,x7252)+E(f528(x7253,x7254,x7255,x7251),f528(x7253,x7254,x7255,x7252)) % 199.88/201.01 [726]~E(x7261,x7262)+E(f762(x7261,x7263),f762(x7262,x7263)) % 199.88/201.01 [727]~E(x7271,x7272)+E(f762(x7273,x7271),f762(x7273,x7272)) % 199.88/201.01 [728]~E(x7281,x7282)+E(f378(x7281,x7283,x7284),f378(x7282,x7283,x7284)) % 199.88/201.01 [729]~E(x7291,x7292)+E(f378(x7293,x7291,x7294),f378(x7293,x7292,x7294)) % 199.88/201.01 [730]~E(x7301,x7302)+E(f378(x7303,x7304,x7301),f378(x7303,x7304,x7302)) % 199.88/201.01 [731]~E(x7311,x7312)+E(f204(x7311,x7313),f204(x7312,x7313)) % 199.88/201.01 [732]~E(x7321,x7322)+E(f204(x7323,x7321),f204(x7323,x7322)) % 199.88/201.01 [733]~E(x7331,x7332)+E(f375(x7331,x7333),f375(x7332,x7333)) % 199.88/201.01 [734]~E(x7341,x7342)+E(f375(x7343,x7341),f375(x7343,x7342)) % 199.88/201.01 [735]~E(x7351,x7352)+E(f51(x7351),f51(x7352)) % 199.88/201.01 [736]~E(x7361,x7362)+E(f815(x7361,x7363,x7364,x7365,x7366,x7367,x7368,x7369),f815(x7362,x7363,x7364,x7365,x7366,x7367,x7368,x7369)) % 199.88/201.01 [737]~E(x7371,x7372)+E(f815(x7373,x7371,x7374,x7375,x7376,x7377,x7378,x7379),f815(x7373,x7372,x7374,x7375,x7376,x7377,x7378,x7379)) % 199.88/201.01 [738]~E(x7381,x7382)+E(f815(x7383,x7384,x7381,x7385,x7386,x7387,x7388,x7389),f815(x7383,x7384,x7382,x7385,x7386,x7387,x7388,x7389)) % 199.88/201.01 [739]~E(x7391,x7392)+E(f815(x7393,x7394,x7395,x7391,x7396,x7397,x7398,x7399),f815(x7393,x7394,x7395,x7392,x7396,x7397,x7398,x7399)) % 199.88/201.01 [740]~E(x7401,x7402)+E(f815(x7403,x7404,x7405,x7406,x7401,x7407,x7408,x7409),f815(x7403,x7404,x7405,x7406,x7402,x7407,x7408,x7409)) % 199.88/201.01 [741]~E(x7411,x7412)+E(f815(x7413,x7414,x7415,x7416,x7417,x7411,x7418,x7419),f815(x7413,x7414,x7415,x7416,x7417,x7412,x7418,x7419)) % 199.88/201.01 [742]~E(x7421,x7422)+E(f815(x7423,x7424,x7425,x7426,x7427,x7428,x7421,x7429),f815(x7423,x7424,x7425,x7426,x7427,x7428,x7422,x7429)) % 199.88/201.01 [743]~E(x7431,x7432)+E(f815(x7433,x7434,x7435,x7436,x7437,x7438,x7439,x7431),f815(x7433,x7434,x7435,x7436,x7437,x7438,x7439,x7432)) % 199.88/201.01 [744]~E(x7441,x7442)+E(f734(x7441,x7443,x7444),f734(x7442,x7443,x7444)) % 199.88/201.01 [745]~E(x7451,x7452)+E(f734(x7453,x7451,x7454),f734(x7453,x7452,x7454)) % 199.88/201.01 [746]~E(x7461,x7462)+E(f734(x7463,x7464,x7461),f734(x7463,x7464,x7462)) % 199.88/201.01 [747]~E(x7471,x7472)+E(f148(x7471,x7473),f148(x7472,x7473)) % 199.88/201.01 [748]~E(x7481,x7482)+E(f148(x7483,x7481),f148(x7483,x7482)) % 199.88/201.01 [749]~E(x7491,x7492)+E(f890(x7491,x7493,x7494),f890(x7492,x7493,x7494)) % 199.88/201.01 [750]~E(x7501,x7502)+E(f890(x7503,x7501,x7504),f890(x7503,x7502,x7504)) % 199.88/201.01 [751]~E(x7511,x7512)+E(f890(x7513,x7514,x7511),f890(x7513,x7514,x7512)) % 199.88/201.01 [752]~E(x7521,x7522)+E(f14(x7521,x7523),f14(x7522,x7523)) % 199.88/201.01 [753]~E(x7531,x7532)+E(f14(x7533,x7531),f14(x7533,x7532)) % 199.88/201.01 [754]~E(x7541,x7542)+E(f602(x7541),f602(x7542)) % 199.88/201.01 [755]~E(x7551,x7552)+E(f785(x7551),f785(x7552)) % 199.88/201.01 [756]~E(x7561,x7562)+E(f350(x7561,x7563,x7564),f350(x7562,x7563,x7564)) % 199.88/201.01 [757]~E(x7571,x7572)+E(f350(x7573,x7571,x7574),f350(x7573,x7572,x7574)) % 199.88/201.01 [758]~E(x7581,x7582)+E(f350(x7583,x7584,x7581),f350(x7583,x7584,x7582)) % 199.88/201.01 [759]~E(x7591,x7592)+E(f249(x7591,x7593,x7594,x7595),f249(x7592,x7593,x7594,x7595)) % 199.88/201.01 [760]~E(x7601,x7602)+E(f249(x7603,x7601,x7604,x7605),f249(x7603,x7602,x7604,x7605)) % 199.88/201.01 [761]~E(x7611,x7612)+E(f249(x7613,x7614,x7611,x7615),f249(x7613,x7614,x7612,x7615)) % 199.88/201.01 [762]~E(x7621,x7622)+E(f249(x7623,x7624,x7625,x7621),f249(x7623,x7624,x7625,x7622)) % 199.88/201.01 [763]~E(x7631,x7632)+E(f638(x7631,x7633,x7634,x7635),f638(x7632,x7633,x7634,x7635)) % 199.88/201.01 [764]~E(x7641,x7642)+E(f638(x7643,x7641,x7644,x7645),f638(x7643,x7642,x7644,x7645)) % 199.88/201.01 [765]~E(x7651,x7652)+E(f638(x7653,x7654,x7651,x7655),f638(x7653,x7654,x7652,x7655)) % 199.88/201.01 [766]~E(x7661,x7662)+E(f638(x7663,x7664,x7665,x7661),f638(x7663,x7664,x7665,x7662)) % 199.88/201.01 [767]~E(x7671,x7672)+E(f344(x7671,x7673,x7674,x7675),f344(x7672,x7673,x7674,x7675)) % 199.88/201.01 [768]~E(x7681,x7682)+E(f344(x7683,x7681,x7684,x7685),f344(x7683,x7682,x7684,x7685)) % 199.88/201.01 [769]~E(x7691,x7692)+E(f344(x7693,x7694,x7691,x7695),f344(x7693,x7694,x7692,x7695)) % 199.88/201.01 [770]~E(x7701,x7702)+E(f344(x7703,x7704,x7705,x7701),f344(x7703,x7704,x7705,x7702)) % 199.88/201.01 [771]~E(x7711,x7712)+E(f432(x7711,x7713,x7714,x7715,x7716,x7717,x7718),f432(x7712,x7713,x7714,x7715,x7716,x7717,x7718)) % 199.88/201.01 [772]~E(x7721,x7722)+E(f432(x7723,x7721,x7724,x7725,x7726,x7727,x7728),f432(x7723,x7722,x7724,x7725,x7726,x7727,x7728)) % 199.88/201.01 [773]~E(x7731,x7732)+E(f432(x7733,x7734,x7731,x7735,x7736,x7737,x7738),f432(x7733,x7734,x7732,x7735,x7736,x7737,x7738)) % 199.88/201.01 [774]~E(x7741,x7742)+E(f432(x7743,x7744,x7745,x7741,x7746,x7747,x7748),f432(x7743,x7744,x7745,x7742,x7746,x7747,x7748)) % 199.88/201.01 [775]~E(x7751,x7752)+E(f432(x7753,x7754,x7755,x7756,x7751,x7757,x7758),f432(x7753,x7754,x7755,x7756,x7752,x7757,x7758)) % 199.88/201.01 [776]~E(x7761,x7762)+E(f432(x7763,x7764,x7765,x7766,x7767,x7761,x7768),f432(x7763,x7764,x7765,x7766,x7767,x7762,x7768)) % 199.88/201.01 [777]~E(x7771,x7772)+E(f432(x7773,x7774,x7775,x7776,x7777,x7778,x7771),f432(x7773,x7774,x7775,x7776,x7777,x7778,x7772)) % 199.88/201.01 [778]~E(x7781,x7782)+E(f888(x7781,x7783,x7784),f888(x7782,x7783,x7784)) % 199.88/201.01 [779]~E(x7791,x7792)+E(f888(x7793,x7791,x7794),f888(x7793,x7792,x7794)) % 199.88/201.01 [780]~E(x7801,x7802)+E(f888(x7803,x7804,x7801),f888(x7803,x7804,x7802)) % 199.88/201.01 [781]~E(x7811,x7812)+E(f497(x7811,x7813,x7814),f497(x7812,x7813,x7814)) % 199.88/201.01 [782]~E(x7821,x7822)+E(f497(x7823,x7821,x7824),f497(x7823,x7822,x7824)) % 199.88/201.01 [783]~E(x7831,x7832)+E(f497(x7833,x7834,x7831),f497(x7833,x7834,x7832)) % 199.88/201.01 [784]~E(x7841,x7842)+E(f381(x7841,x7843,x7844),f381(x7842,x7843,x7844)) % 199.88/201.01 [785]~E(x7851,x7852)+E(f381(x7853,x7851,x7854),f381(x7853,x7852,x7854)) % 199.88/201.01 [786]~E(x7861,x7862)+E(f381(x7863,x7864,x7861),f381(x7863,x7864,x7862)) % 199.88/201.01 [787]~E(x7871,x7872)+E(f287(x7871,x7873,x7874,x7875,x7876),f287(x7872,x7873,x7874,x7875,x7876)) % 199.88/201.01 [788]~E(x7881,x7882)+E(f287(x7883,x7881,x7884,x7885,x7886),f287(x7883,x7882,x7884,x7885,x7886)) % 199.88/201.01 [789]~E(x7891,x7892)+E(f287(x7893,x7894,x7891,x7895,x7896),f287(x7893,x7894,x7892,x7895,x7896)) % 199.88/201.01 [790]~E(x7901,x7902)+E(f287(x7903,x7904,x7905,x7901,x7906),f287(x7903,x7904,x7905,x7902,x7906)) % 199.88/201.01 [791]~E(x7911,x7912)+E(f287(x7913,x7914,x7915,x7916,x7911),f287(x7913,x7914,x7915,x7916,x7912)) % 199.88/201.01 [792]~E(x7921,x7922)+E(f833(x7921,x7923,x7924,x7925,x7926,x7927,x7928),f833(x7922,x7923,x7924,x7925,x7926,x7927,x7928)) % 199.88/201.01 [793]~E(x7931,x7932)+E(f833(x7933,x7931,x7934,x7935,x7936,x7937,x7938),f833(x7933,x7932,x7934,x7935,x7936,x7937,x7938)) % 199.88/201.01 [794]~E(x7941,x7942)+E(f833(x7943,x7944,x7941,x7945,x7946,x7947,x7948),f833(x7943,x7944,x7942,x7945,x7946,x7947,x7948)) % 199.88/201.01 [795]~E(x7951,x7952)+E(f833(x7953,x7954,x7955,x7951,x7956,x7957,x7958),f833(x7953,x7954,x7955,x7952,x7956,x7957,x7958)) % 199.88/201.01 [796]~E(x7961,x7962)+E(f833(x7963,x7964,x7965,x7966,x7961,x7967,x7968),f833(x7963,x7964,x7965,x7966,x7962,x7967,x7968)) % 199.88/201.01 [797]~E(x7971,x7972)+E(f833(x7973,x7974,x7975,x7976,x7977,x7971,x7978),f833(x7973,x7974,x7975,x7976,x7977,x7972,x7978)) % 199.88/201.01 [798]~E(x7981,x7982)+E(f833(x7983,x7984,x7985,x7986,x7987,x7988,x7981),f833(x7983,x7984,x7985,x7986,x7987,x7988,x7982)) % 199.88/201.01 [799]~E(x7991,x7992)+E(f328(x7991,x7993,x7994),f328(x7992,x7993,x7994)) % 199.88/201.01 [800]~E(x8001,x8002)+E(f328(x8003,x8001,x8004),f328(x8003,x8002,x8004)) % 199.88/201.01 [801]~E(x8011,x8012)+E(f328(x8013,x8014,x8011),f328(x8013,x8014,x8012)) % 199.88/201.01 [802]~E(x8021,x8022)+E(f291(x8021),f291(x8022)) % 199.88/201.01 [803]~E(x8031,x8032)+E(f290(x8031,x8033,x8034,x8035,x8036),f290(x8032,x8033,x8034,x8035,x8036)) % 199.88/201.01 [804]~E(x8041,x8042)+E(f290(x8043,x8041,x8044,x8045,x8046),f290(x8043,x8042,x8044,x8045,x8046)) % 199.88/201.01 [805]~E(x8051,x8052)+E(f290(x8053,x8054,x8051,x8055,x8056),f290(x8053,x8054,x8052,x8055,x8056)) % 199.88/201.01 [806]~E(x8061,x8062)+E(f290(x8063,x8064,x8065,x8061,x8066),f290(x8063,x8064,x8065,x8062,x8066)) % 199.88/201.01 [807]~E(x8071,x8072)+E(f290(x8073,x8074,x8075,x8076,x8071),f290(x8073,x8074,x8075,x8076,x8072)) % 199.88/201.01 [808]~E(x8081,x8082)+E(f885(x8081,x8083,x8084),f885(x8082,x8083,x8084)) % 199.88/201.01 [809]~E(x8091,x8092)+E(f885(x8093,x8091,x8094),f885(x8093,x8092,x8094)) % 199.88/201.01 [810]~E(x8101,x8102)+E(f885(x8103,x8104,x8101),f885(x8103,x8104,x8102)) % 199.88/201.01 [811]~E(x8111,x8112)+E(f153(x8111,x8113,x8114,x8115),f153(x8112,x8113,x8114,x8115)) % 199.88/201.01 [812]~E(x8121,x8122)+E(f153(x8123,x8121,x8124,x8125),f153(x8123,x8122,x8124,x8125)) % 199.88/201.01 [813]~E(x8131,x8132)+E(f153(x8133,x8134,x8131,x8135),f153(x8133,x8134,x8132,x8135)) % 199.88/201.01 [814]~E(x8141,x8142)+E(f153(x8143,x8144,x8145,x8141),f153(x8143,x8144,x8145,x8142)) % 199.88/201.01 [815]~E(x8151,x8152)+E(f298(x8151),f298(x8152)) % 199.88/201.01 [816]~E(x8161,x8162)+E(f15(x8161,x8163),f15(x8162,x8163)) % 199.88/201.01 [817]~E(x8171,x8172)+E(f15(x8173,x8171),f15(x8173,x8172)) % 199.88/201.01 [818]~E(x8181,x8182)+E(f796(x8181),f796(x8182)) % 199.88/201.01 [819]~E(x8191,x8192)+E(f724(x8191,x8193,x8194,x8195,x8196,x8197,x8198),f724(x8192,x8193,x8194,x8195,x8196,x8197,x8198)) % 199.88/201.01 [820]~E(x8201,x8202)+E(f724(x8203,x8201,x8204,x8205,x8206,x8207,x8208),f724(x8203,x8202,x8204,x8205,x8206,x8207,x8208)) % 199.88/201.01 [821]~E(x8211,x8212)+E(f724(x8213,x8214,x8211,x8215,x8216,x8217,x8218),f724(x8213,x8214,x8212,x8215,x8216,x8217,x8218)) % 199.88/201.01 [822]~E(x8221,x8222)+E(f724(x8223,x8224,x8225,x8221,x8226,x8227,x8228),f724(x8223,x8224,x8225,x8222,x8226,x8227,x8228)) % 199.88/201.01 [823]~E(x8231,x8232)+E(f724(x8233,x8234,x8235,x8236,x8231,x8237,x8238),f724(x8233,x8234,x8235,x8236,x8232,x8237,x8238)) % 199.88/201.01 [824]~E(x8241,x8242)+E(f724(x8243,x8244,x8245,x8246,x8247,x8241,x8248),f724(x8243,x8244,x8245,x8246,x8247,x8242,x8248)) % 199.88/201.01 [825]~E(x8251,x8252)+E(f724(x8253,x8254,x8255,x8256,x8257,x8258,x8251),f724(x8253,x8254,x8255,x8256,x8257,x8258,x8252)) % 199.88/201.01 [826]~E(x8261,x8262)+E(f573(x8261,x8263,x8264),f573(x8262,x8263,x8264)) % 199.88/201.01 [827]~E(x8271,x8272)+E(f573(x8273,x8271,x8274),f573(x8273,x8272,x8274)) % 199.88/201.01 [828]~E(x8281,x8282)+E(f573(x8283,x8284,x8281),f573(x8283,x8284,x8282)) % 199.88/201.01 [829]~E(x8291,x8292)+E(f539(x8291,x8293,x8294,x8295),f539(x8292,x8293,x8294,x8295)) % 199.88/201.01 [830]~E(x8301,x8302)+E(f539(x8303,x8301,x8304,x8305),f539(x8303,x8302,x8304,x8305)) % 199.88/201.01 [831]~E(x8311,x8312)+E(f539(x8313,x8314,x8311,x8315),f539(x8313,x8314,x8312,x8315)) % 199.88/201.01 [832]~E(x8321,x8322)+E(f539(x8323,x8324,x8325,x8321),f539(x8323,x8324,x8325,x8322)) % 199.88/201.01 [833]~E(x8331,x8332)+E(f233(x8331,x8333,x8334),f233(x8332,x8333,x8334)) % 199.88/201.01 [834]~E(x8341,x8342)+E(f233(x8343,x8341,x8344),f233(x8343,x8342,x8344)) % 199.88/201.01 [835]~E(x8351,x8352)+E(f233(x8353,x8354,x8351),f233(x8353,x8354,x8352)) % 199.88/201.01 [836]~E(x8361,x8362)+E(f593(x8361,x8363,x8364,x8365,x8366),f593(x8362,x8363,x8364,x8365,x8366)) % 199.88/201.01 [837]~E(x8371,x8372)+E(f593(x8373,x8371,x8374,x8375,x8376),f593(x8373,x8372,x8374,x8375,x8376)) % 199.88/201.01 [838]~E(x8381,x8382)+E(f593(x8383,x8384,x8381,x8385,x8386),f593(x8383,x8384,x8382,x8385,x8386)) % 199.88/201.01 [839]~E(x8391,x8392)+E(f593(x8393,x8394,x8395,x8391,x8396),f593(x8393,x8394,x8395,x8392,x8396)) % 199.88/201.01 [840]~E(x8401,x8402)+E(f593(x8403,x8404,x8405,x8406,x8401),f593(x8403,x8404,x8405,x8406,x8402)) % 199.88/201.01 [841]~E(x8411,x8412)+E(f659(x8411,x8413,x8414,x8415,x8416),f659(x8412,x8413,x8414,x8415,x8416)) % 199.88/201.01 [842]~E(x8421,x8422)+E(f659(x8423,x8421,x8424,x8425,x8426),f659(x8423,x8422,x8424,x8425,x8426)) % 199.88/201.01 [843]~E(x8431,x8432)+E(f659(x8433,x8434,x8431,x8435,x8436),f659(x8433,x8434,x8432,x8435,x8436)) % 199.88/201.01 [844]~E(x8441,x8442)+E(f659(x8443,x8444,x8445,x8441,x8446),f659(x8443,x8444,x8445,x8442,x8446)) % 199.88/201.01 [845]~E(x8451,x8452)+E(f659(x8453,x8454,x8455,x8456,x8451),f659(x8453,x8454,x8455,x8456,x8452)) % 199.88/201.01 [846]~E(x8461,x8462)+E(f407(x8461,x8463),f407(x8462,x8463)) % 199.88/201.01 [847]~E(x8471,x8472)+E(f407(x8473,x8471),f407(x8473,x8472)) % 199.88/201.01 [848]~E(x8481,x8482)+E(f13(x8481,x8483),f13(x8482,x8483)) % 199.88/201.01 [849]~E(x8491,x8492)+E(f13(x8493,x8491),f13(x8493,x8492)) % 199.88/201.01 [850]~E(x8501,x8502)+E(f80(x8501,x8503),f80(x8502,x8503)) % 199.88/201.01 [851]~E(x8511,x8512)+E(f80(x8513,x8511),f80(x8513,x8512)) % 199.88/201.01 [852]~E(x8521,x8522)+E(f650(x8521,x8523,x8524),f650(x8522,x8523,x8524)) % 199.88/201.01 [853]~E(x8531,x8532)+E(f650(x8533,x8531,x8534),f650(x8533,x8532,x8534)) % 199.88/201.01 [854]~E(x8541,x8542)+E(f650(x8543,x8544,x8541),f650(x8543,x8544,x8542)) % 199.88/201.01 [855]~E(x8551,x8552)+E(f262(x8551,x8553),f262(x8552,x8553)) % 199.88/201.01 [856]~E(x8561,x8562)+E(f262(x8563,x8561),f262(x8563,x8562)) % 199.88/201.01 [857]~E(x8571,x8572)+E(f810(x8571,x8573,x8574,x8575,x8576),f810(x8572,x8573,x8574,x8575,x8576)) % 199.88/201.01 [858]~E(x8581,x8582)+E(f810(x8583,x8581,x8584,x8585,x8586),f810(x8583,x8582,x8584,x8585,x8586)) % 199.88/201.01 [859]~E(x8591,x8592)+E(f810(x8593,x8594,x8591,x8595,x8596),f810(x8593,x8594,x8592,x8595,x8596)) % 199.88/201.01 [860]~E(x8601,x8602)+E(f810(x8603,x8604,x8605,x8601,x8606),f810(x8603,x8604,x8605,x8602,x8606)) % 199.88/201.01 [861]~E(x8611,x8612)+E(f810(x8613,x8614,x8615,x8616,x8611),f810(x8613,x8614,x8615,x8616,x8612)) % 199.88/201.01 [862]~E(x8621,x8622)+E(f675(x8621,x8623),f675(x8622,x8623)) % 199.88/201.01 [863]~E(x8631,x8632)+E(f675(x8633,x8631),f675(x8633,x8632)) % 199.88/201.01 [864]~E(x8641,x8642)+E(f781(x8641,x8643),f781(x8642,x8643)) % 199.88/201.01 [865]~E(x8651,x8652)+E(f781(x8653,x8651),f781(x8653,x8652)) % 199.88/201.01 [866]~E(x8661,x8662)+E(f107(x8661,x8663,x8664),f107(x8662,x8663,x8664)) % 199.88/201.01 [867]~E(x8671,x8672)+E(f107(x8673,x8671,x8674),f107(x8673,x8672,x8674)) % 199.88/201.01 [868]~E(x8681,x8682)+E(f107(x8683,x8684,x8681),f107(x8683,x8684,x8682)) % 199.88/201.01 [869]~E(x8691,x8692)+E(f726(x8691,x8693,x8694,x8695,x8696,x8697,x8698),f726(x8692,x8693,x8694,x8695,x8696,x8697,x8698)) % 199.88/201.01 [870]~E(x8701,x8702)+E(f726(x8703,x8701,x8704,x8705,x8706,x8707,x8708),f726(x8703,x8702,x8704,x8705,x8706,x8707,x8708)) % 199.88/201.01 [871]~E(x8711,x8712)+E(f726(x8713,x8714,x8711,x8715,x8716,x8717,x8718),f726(x8713,x8714,x8712,x8715,x8716,x8717,x8718)) % 199.88/201.01 [872]~E(x8721,x8722)+E(f726(x8723,x8724,x8725,x8721,x8726,x8727,x8728),f726(x8723,x8724,x8725,x8722,x8726,x8727,x8728)) % 199.88/201.01 [873]~E(x8731,x8732)+E(f726(x8733,x8734,x8735,x8736,x8731,x8737,x8738),f726(x8733,x8734,x8735,x8736,x8732,x8737,x8738)) % 199.88/201.01 [874]~E(x8741,x8742)+E(f726(x8743,x8744,x8745,x8746,x8747,x8741,x8748),f726(x8743,x8744,x8745,x8746,x8747,x8742,x8748)) % 199.88/201.01 [875]~E(x8751,x8752)+E(f726(x8753,x8754,x8755,x8756,x8757,x8758,x8751),f726(x8753,x8754,x8755,x8756,x8757,x8758,x8752)) % 199.88/201.01 [876]~E(x8761,x8762)+E(f802(x8761,x8763),f802(x8762,x8763)) % 199.88/201.01 [877]~E(x8771,x8772)+E(f802(x8773,x8771),f802(x8773,x8772)) % 199.88/201.01 [878]~E(x8781,x8782)+E(f417(x8781,x8783,x8784,x8785),f417(x8782,x8783,x8784,x8785)) % 199.88/201.01 [879]~E(x8791,x8792)+E(f417(x8793,x8791,x8794,x8795),f417(x8793,x8792,x8794,x8795)) % 199.88/201.01 [880]~E(x8801,x8802)+E(f417(x8803,x8804,x8801,x8805),f417(x8803,x8804,x8802,x8805)) % 199.88/201.01 [881]~E(x8811,x8812)+E(f417(x8813,x8814,x8815,x8811),f417(x8813,x8814,x8815,x8812)) % 199.88/201.01 [882]~E(x8821,x8822)+E(f871(x8821,x8823,x8824,x8825),f871(x8822,x8823,x8824,x8825)) % 199.88/201.01 [883]~E(x8831,x8832)+E(f871(x8833,x8831,x8834,x8835),f871(x8833,x8832,x8834,x8835)) % 199.88/201.01 [884]~E(x8841,x8842)+E(f871(x8843,x8844,x8841,x8845),f871(x8843,x8844,x8842,x8845)) % 199.88/201.01 [885]~E(x8851,x8852)+E(f871(x8853,x8854,x8855,x8851),f871(x8853,x8854,x8855,x8852)) % 199.88/201.01 [886]~E(x8861,x8862)+E(f360(x8861,x8863,x8864,x8865,x8866),f360(x8862,x8863,x8864,x8865,x8866)) % 199.88/201.01 [887]~E(x8871,x8872)+E(f360(x8873,x8871,x8874,x8875,x8876),f360(x8873,x8872,x8874,x8875,x8876)) % 199.88/201.01 [888]~E(x8881,x8882)+E(f360(x8883,x8884,x8881,x8885,x8886),f360(x8883,x8884,x8882,x8885,x8886)) % 199.88/201.01 [889]~E(x8891,x8892)+E(f360(x8893,x8894,x8895,x8891,x8896),f360(x8893,x8894,x8895,x8892,x8896)) % 199.88/201.01 [890]~E(x8901,x8902)+E(f360(x8903,x8904,x8905,x8906,x8901),f360(x8903,x8904,x8905,x8906,x8902)) % 199.88/201.01 [891]~E(x8911,x8912)+E(f589(x8911,x8913,x8914),f589(x8912,x8913,x8914)) % 199.88/201.01 [892]~E(x8921,x8922)+E(f589(x8923,x8921,x8924),f589(x8923,x8922,x8924)) % 199.88/201.01 [893]~E(x8931,x8932)+E(f589(x8933,x8934,x8931),f589(x8933,x8934,x8932)) % 199.88/201.01 [894]~E(x8941,x8942)+E(f857(x8941,x8943),f857(x8942,x8943)) % 199.88/201.01 [895]~E(x8951,x8952)+E(f857(x8953,x8951),f857(x8953,x8952)) % 199.88/201.01 [896]~E(x8961,x8962)+E(f11(x8961,x8963,x8964),f11(x8962,x8963,x8964)) % 199.88/201.01 [897]~E(x8971,x8972)+E(f11(x8973,x8971,x8974),f11(x8973,x8972,x8974)) % 199.88/201.01 [898]~E(x8981,x8982)+E(f11(x8983,x8984,x8981),f11(x8983,x8984,x8982)) % 199.88/201.01 [899]~E(x8991,x8992)+E(f759(x8991,x8993,x8994,x8995),f759(x8992,x8993,x8994,x8995)) % 199.88/201.01 [900]~E(x9001,x9002)+E(f759(x9003,x9001,x9004,x9005),f759(x9003,x9002,x9004,x9005)) % 199.88/201.01 [901]~E(x9011,x9012)+E(f759(x9013,x9014,x9011,x9015),f759(x9013,x9014,x9012,x9015)) % 199.88/201.01 [902]~E(x9021,x9022)+E(f759(x9023,x9024,x9025,x9021),f759(x9023,x9024,x9025,x9022)) % 199.88/201.01 [903]~E(x9031,x9032)+E(f673(x9031,x9033,x9034,x9035,x9036),f673(x9032,x9033,x9034,x9035,x9036)) % 199.88/201.01 [904]~E(x9041,x9042)+E(f673(x9043,x9041,x9044,x9045,x9046),f673(x9043,x9042,x9044,x9045,x9046)) % 199.88/201.01 [905]~E(x9051,x9052)+E(f673(x9053,x9054,x9051,x9055,x9056),f673(x9053,x9054,x9052,x9055,x9056)) % 199.88/201.01 [906]~E(x9061,x9062)+E(f673(x9063,x9064,x9065,x9061,x9066),f673(x9063,x9064,x9065,x9062,x9066)) % 199.88/201.01 [907]~E(x9071,x9072)+E(f673(x9073,x9074,x9075,x9076,x9071),f673(x9073,x9074,x9075,x9076,x9072)) % 199.88/201.01 [908]~E(x9081,x9082)+E(f395(x9081,x9083,x9084,x9085),f395(x9082,x9083,x9084,x9085)) % 199.88/201.01 [909]~E(x9091,x9092)+E(f395(x9093,x9091,x9094,x9095),f395(x9093,x9092,x9094,x9095)) % 199.88/201.01 [910]~E(x9101,x9102)+E(f395(x9103,x9104,x9101,x9105),f395(x9103,x9104,x9102,x9105)) % 199.88/201.01 [911]~E(x9111,x9112)+E(f395(x9113,x9114,x9115,x9111),f395(x9113,x9114,x9115,x9112)) % 199.88/201.01 [912]~E(x9121,x9122)+E(f612(x9121,x9123,x9124,x9125),f612(x9122,x9123,x9124,x9125)) % 199.88/201.01 [913]~E(x9131,x9132)+E(f612(x9133,x9131,x9134,x9135),f612(x9133,x9132,x9134,x9135)) % 199.88/201.01 [914]~E(x9141,x9142)+E(f612(x9143,x9144,x9141,x9145),f612(x9143,x9144,x9142,x9145)) % 199.88/201.01 [915]~E(x9151,x9152)+E(f612(x9153,x9154,x9155,x9151),f612(x9153,x9154,x9155,x9152)) % 199.88/201.01 [916]~E(x9161,x9162)+E(f677(x9161,x9163,x9164,x9165,x9166),f677(x9162,x9163,x9164,x9165,x9166)) % 199.88/201.01 [917]~E(x9171,x9172)+E(f677(x9173,x9171,x9174,x9175,x9176),f677(x9173,x9172,x9174,x9175,x9176)) % 199.88/201.01 [918]~E(x9181,x9182)+E(f677(x9183,x9184,x9181,x9185,x9186),f677(x9183,x9184,x9182,x9185,x9186)) % 199.88/201.01 [919]~E(x9191,x9192)+E(f677(x9193,x9194,x9195,x9191,x9196),f677(x9193,x9194,x9195,x9192,x9196)) % 199.88/201.01 [920]~E(x9201,x9202)+E(f677(x9203,x9204,x9205,x9206,x9201),f677(x9203,x9204,x9205,x9206,x9202)) % 199.88/201.01 [921]~E(x9211,x9212)+E(f136(x9211,x9213),f136(x9212,x9213)) % 199.88/201.01 [922]~E(x9221,x9222)+E(f136(x9223,x9221),f136(x9223,x9222)) % 199.88/201.01 [923]~E(x9231,x9232)+E(f324(x9231,x9233,x9234,x9235),f324(x9232,x9233,x9234,x9235)) % 199.88/201.01 [924]~E(x9241,x9242)+E(f324(x9243,x9241,x9244,x9245),f324(x9243,x9242,x9244,x9245)) % 199.88/201.01 [925]~E(x9251,x9252)+E(f324(x9253,x9254,x9251,x9255),f324(x9253,x9254,x9252,x9255)) % 199.88/201.01 [926]~E(x9261,x9262)+E(f324(x9263,x9264,x9265,x9261),f324(x9263,x9264,x9265,x9262)) % 199.88/201.01 [927]~E(x9271,x9272)+E(f399(x9271,x9273,x9274,x9275),f399(x9272,x9273,x9274,x9275)) % 199.88/201.01 [928]~E(x9281,x9282)+E(f399(x9283,x9281,x9284,x9285),f399(x9283,x9282,x9284,x9285)) % 199.88/201.01 [929]~E(x9291,x9292)+E(f399(x9293,x9294,x9291,x9295),f399(x9293,x9294,x9292,x9295)) % 199.88/201.01 [930]~E(x9301,x9302)+E(f399(x9303,x9304,x9305,x9301),f399(x9303,x9304,x9305,x9302)) % 199.88/201.01 [931]~E(x9311,x9312)+E(f722(x9311,x9313,x9314,x9315,x9316),f722(x9312,x9313,x9314,x9315,x9316)) % 199.88/201.01 [932]~E(x9321,x9322)+E(f722(x9323,x9321,x9324,x9325,x9326),f722(x9323,x9322,x9324,x9325,x9326)) % 199.88/201.01 [933]~E(x9331,x9332)+E(f722(x9333,x9334,x9331,x9335,x9336),f722(x9333,x9334,x9332,x9335,x9336)) % 199.88/201.01 [934]~E(x9341,x9342)+E(f722(x9343,x9344,x9345,x9341,x9346),f722(x9343,x9344,x9345,x9342,x9346)) % 199.88/201.01 [935]~E(x9351,x9352)+E(f722(x9353,x9354,x9355,x9356,x9351),f722(x9353,x9354,x9355,x9356,x9352)) % 199.88/201.01 [936]~E(x9361,x9362)+E(f821(x9361,x9363,x9364,x9365),f821(x9362,x9363,x9364,x9365)) % 199.88/201.01 [937]~E(x9371,x9372)+E(f821(x9373,x9371,x9374,x9375),f821(x9373,x9372,x9374,x9375)) % 199.88/201.01 [938]~E(x9381,x9382)+E(f821(x9383,x9384,x9381,x9385),f821(x9383,x9384,x9382,x9385)) % 199.88/201.01 [939]~E(x9391,x9392)+E(f821(x9393,x9394,x9395,x9391),f821(x9393,x9394,x9395,x9392)) % 199.88/201.01 [940]~E(x9401,x9402)+E(f606(x9401,x9403,x9404,x9405,x9406),f606(x9402,x9403,x9404,x9405,x9406)) % 199.88/201.01 [941]~E(x9411,x9412)+E(f606(x9413,x9411,x9414,x9415,x9416),f606(x9413,x9412,x9414,x9415,x9416)) % 199.88/201.01 [942]~E(x9421,x9422)+E(f606(x9423,x9424,x9421,x9425,x9426),f606(x9423,x9424,x9422,x9425,x9426)) % 199.88/201.01 [943]~E(x9431,x9432)+E(f606(x9433,x9434,x9435,x9431,x9436),f606(x9433,x9434,x9435,x9432,x9436)) % 199.88/201.01 [944]~E(x9441,x9442)+E(f606(x9443,x9444,x9445,x9446,x9441),f606(x9443,x9444,x9445,x9446,x9442)) % 199.88/201.01 [945]~E(x9451,x9452)+E(f562(x9451,x9453,x9454),f562(x9452,x9453,x9454)) % 199.88/201.01 [946]~E(x9461,x9462)+E(f562(x9463,x9461,x9464),f562(x9463,x9462,x9464)) % 199.88/201.01 [947]~E(x9471,x9472)+E(f562(x9473,x9474,x9471),f562(x9473,x9474,x9472)) % 199.88/201.01 [948]~E(x9481,x9482)+E(f182(x9481,x9483),f182(x9482,x9483)) % 199.88/201.01 [949]~E(x9491,x9492)+E(f182(x9493,x9491),f182(x9493,x9492)) % 199.88/201.01 [950]~E(x9501,x9502)+E(f498(x9501,x9503,x9504),f498(x9502,x9503,x9504)) % 199.88/201.01 [951]~E(x9511,x9512)+E(f498(x9513,x9511,x9514),f498(x9513,x9512,x9514)) % 199.88/201.01 [952]~E(x9521,x9522)+E(f498(x9523,x9524,x9521),f498(x9523,x9524,x9522)) % 199.88/201.01 [953]~E(x9531,x9532)+E(f111(x9531,x9533),f111(x9532,x9533)) % 199.88/201.01 [954]~E(x9541,x9542)+E(f111(x9543,x9541),f111(x9543,x9542)) % 199.88/201.01 [955]~E(x9551,x9552)+E(f845(x9551,x9553,x9554),f845(x9552,x9553,x9554)) % 199.88/201.01 [956]~E(x9561,x9562)+E(f845(x9563,x9561,x9564),f845(x9563,x9562,x9564)) % 199.88/201.01 [957]~E(x9571,x9572)+E(f845(x9573,x9574,x9571),f845(x9573,x9574,x9572)) % 199.88/201.01 [958]~E(x9581,x9582)+E(f532(x9581,x9583,x9584,x9585),f532(x9582,x9583,x9584,x9585)) % 199.88/201.01 [959]~E(x9591,x9592)+E(f532(x9593,x9591,x9594,x9595),f532(x9593,x9592,x9594,x9595)) % 199.88/201.01 [960]~E(x9601,x9602)+E(f532(x9603,x9604,x9601,x9605),f532(x9603,x9604,x9602,x9605)) % 199.88/201.01 [961]~E(x9611,x9612)+E(f532(x9613,x9614,x9615,x9611),f532(x9613,x9614,x9615,x9612)) % 199.88/201.01 [962]~E(x9621,x9622)+E(f345(x9621,x9623,x9624),f345(x9622,x9623,x9624)) % 199.88/201.01 [963]~E(x9631,x9632)+E(f345(x9633,x9631,x9634),f345(x9633,x9632,x9634)) % 199.88/201.01 [964]~E(x9641,x9642)+E(f345(x9643,x9644,x9641),f345(x9643,x9644,x9642)) % 199.88/201.01 [965]~E(x9651,x9652)+E(f202(x9651),f202(x9652)) % 199.88/201.01 [966]~E(x9661,x9662)+E(f436(x9661,x9663,x9664,x9665),f436(x9662,x9663,x9664,x9665)) % 199.88/201.01 [967]~E(x9671,x9672)+E(f436(x9673,x9671,x9674,x9675),f436(x9673,x9672,x9674,x9675)) % 199.88/201.01 [968]~E(x9681,x9682)+E(f436(x9683,x9684,x9681,x9685),f436(x9683,x9684,x9682,x9685)) % 199.88/201.01 [969]~E(x9691,x9692)+E(f436(x9693,x9694,x9695,x9691),f436(x9693,x9694,x9695,x9692)) % 199.88/201.01 [970]~E(x9701,x9702)+E(f205(x9701,x9703),f205(x9702,x9703)) % 199.88/201.01 [971]~E(x9711,x9712)+E(f205(x9713,x9711),f205(x9713,x9712)) % 199.88/201.01 [972]~E(x9721,x9722)+E(f54(x9721,x9723,x9724,x9725),f54(x9722,x9723,x9724,x9725)) % 199.88/201.01 [973]~E(x9731,x9732)+E(f54(x9733,x9731,x9734,x9735),f54(x9733,x9732,x9734,x9735)) % 199.88/201.01 [974]~E(x9741,x9742)+E(f54(x9743,x9744,x9741,x9745),f54(x9743,x9744,x9742,x9745)) % 199.88/201.01 [975]~E(x9751,x9752)+E(f54(x9753,x9754,x9755,x9751),f54(x9753,x9754,x9755,x9752)) % 199.88/201.01 [976]~E(x9761,x9762)+E(f251(x9761,x9763,x9764,x9765,x9766),f251(x9762,x9763,x9764,x9765,x9766)) % 199.88/201.01 [977]~E(x9771,x9772)+E(f251(x9773,x9771,x9774,x9775,x9776),f251(x9773,x9772,x9774,x9775,x9776)) % 199.88/201.01 [978]~E(x9781,x9782)+E(f251(x9783,x9784,x9781,x9785,x9786),f251(x9783,x9784,x9782,x9785,x9786)) % 199.88/201.01 [979]~E(x9791,x9792)+E(f251(x9793,x9794,x9795,x9791,x9796),f251(x9793,x9794,x9795,x9792,x9796)) % 199.88/201.01 [980]~E(x9801,x9802)+E(f251(x9803,x9804,x9805,x9806,x9801),f251(x9803,x9804,x9805,x9806,x9802)) % 199.88/201.01 [981]~E(x9811,x9812)+E(f500(x9811),f500(x9812)) % 199.88/201.01 [982]~E(x9821,x9822)+E(f116(x9821,x9823,x9824),f116(x9822,x9823,x9824)) % 199.88/201.01 [983]~E(x9831,x9832)+E(f116(x9833,x9831,x9834),f116(x9833,x9832,x9834)) % 199.88/201.01 [984]~E(x9841,x9842)+E(f116(x9843,x9844,x9841),f116(x9843,x9844,x9842)) % 199.88/201.01 [985]~E(x9851,x9852)+E(f822(x9851,x9853,x9854,x9855),f822(x9852,x9853,x9854,x9855)) % 199.88/201.01 [986]~E(x9861,x9862)+E(f822(x9863,x9861,x9864,x9865),f822(x9863,x9862,x9864,x9865)) % 199.88/201.01 [987]~E(x9871,x9872)+E(f822(x9873,x9874,x9871,x9875),f822(x9873,x9874,x9872,x9875)) % 199.88/201.01 [988]~E(x9881,x9882)+E(f822(x9883,x9884,x9885,x9881),f822(x9883,x9884,x9885,x9882)) % 199.88/201.01 [989]~E(x9891,x9892)+E(f369(x9891,x9893,x9894,x9895),f369(x9892,x9893,x9894,x9895)) % 199.88/201.01 [990]~E(x9901,x9902)+E(f369(x9903,x9901,x9904,x9905),f369(x9903,x9902,x9904,x9905)) % 199.88/201.01 [991]~E(x9911,x9912)+E(f369(x9913,x9914,x9911,x9915),f369(x9913,x9914,x9912,x9915)) % 199.88/201.01 [992]~E(x9921,x9922)+E(f369(x9923,x9924,x9925,x9921),f369(x9923,x9924,x9925,x9922)) % 199.88/201.01 [993]~E(x9931,x9932)+E(f611(x9931,x9933,x9934,x9935),f611(x9932,x9933,x9934,x9935)) % 199.88/201.01 [994]~E(x9941,x9942)+E(f611(x9943,x9941,x9944,x9945),f611(x9943,x9942,x9944,x9945)) % 199.88/201.01 [995]~E(x9951,x9952)+E(f611(x9953,x9954,x9951,x9955),f611(x9953,x9954,x9952,x9955)) % 199.88/201.01 [996]~E(x9961,x9962)+E(f611(x9963,x9964,x9965,x9961),f611(x9963,x9964,x9965,x9962)) % 199.88/201.01 [997]~E(x9971,x9972)+E(f705(x9971,x9973),f705(x9972,x9973)) % 199.88/201.01 [998]~E(x9981,x9982)+E(f705(x9983,x9981),f705(x9983,x9982)) % 199.88/201.01 [999]~E(x9991,x9992)+E(f679(x9991,x9993,x9994,x9995,x9996),f679(x9992,x9993,x9994,x9995,x9996)) % 199.88/201.01 [1000]~E(x10001,x10002)+E(f679(x10003,x10001,x10004,x10005,x10006),f679(x10003,x10002,x10004,x10005,x10006)) % 199.88/201.01 [1001]~E(x10011,x10012)+E(f679(x10013,x10014,x10011,x10015,x10016),f679(x10013,x10014,x10012,x10015,x10016)) % 199.88/201.01 [1002]~E(x10021,x10022)+E(f679(x10023,x10024,x10025,x10021,x10026),f679(x10023,x10024,x10025,x10022,x10026)) % 199.88/201.01 [1003]~E(x10031,x10032)+E(f679(x10033,x10034,x10035,x10036,x10031),f679(x10033,x10034,x10035,x10036,x10032)) % 199.88/201.01 [1004]~E(x10041,x10042)+E(f538(x10041,x10043,x10044,x10045),f538(x10042,x10043,x10044,x10045)) % 199.88/201.01 [1005]~E(x10051,x10052)+E(f538(x10053,x10051,x10054,x10055),f538(x10053,x10052,x10054,x10055)) % 199.88/201.01 [1006]~E(x10061,x10062)+E(f538(x10063,x10064,x10061,x10065),f538(x10063,x10064,x10062,x10065)) % 199.88/201.01 [1007]~E(x10071,x10072)+E(f538(x10073,x10074,x10075,x10071),f538(x10073,x10074,x10075,x10072)) % 199.88/201.01 [1008]~E(x10081,x10082)+E(f578(x10081,x10083,x10084,x10085),f578(x10082,x10083,x10084,x10085)) % 199.88/201.01 [1009]~E(x10091,x10092)+E(f578(x10093,x10091,x10094,x10095),f578(x10093,x10092,x10094,x10095)) % 199.88/201.01 [1010]~E(x10101,x10102)+E(f578(x10103,x10104,x10101,x10105),f578(x10103,x10104,x10102,x10105)) % 199.88/201.01 [1011]~E(x10111,x10112)+E(f578(x10113,x10114,x10115,x10111),f578(x10113,x10114,x10115,x10112)) % 199.88/201.01 [1012]~E(x10121,x10122)+E(f597(x10121,x10123,x10124,x10125,x10126),f597(x10122,x10123,x10124,x10125,x10126)) % 199.88/201.01 [1013]~E(x10131,x10132)+E(f597(x10133,x10131,x10134,x10135,x10136),f597(x10133,x10132,x10134,x10135,x10136)) % 199.88/201.01 [1014]~E(x10141,x10142)+E(f597(x10143,x10144,x10141,x10145,x10146),f597(x10143,x10144,x10142,x10145,x10146)) % 199.88/201.01 [1015]~E(x10151,x10152)+E(f597(x10153,x10154,x10155,x10151,x10156),f597(x10153,x10154,x10155,x10152,x10156)) % 199.88/201.01 [1016]~E(x10161,x10162)+E(f597(x10163,x10164,x10165,x10166,x10161),f597(x10163,x10164,x10165,x10166,x10162)) % 199.88/201.01 [1017]~E(x10171,x10172)+E(f760(x10171),f760(x10172)) % 199.88/201.01 [1018]~E(x10181,x10182)+E(f145(x10181,x10183,x10184),f145(x10182,x10183,x10184)) % 199.88/201.02 [1019]~E(x10191,x10192)+E(f145(x10193,x10191,x10194),f145(x10193,x10192,x10194)) % 199.88/201.02 [1020]~E(x10201,x10202)+E(f145(x10203,x10204,x10201),f145(x10203,x10204,x10202)) % 199.88/201.02 [1021]~E(x10211,x10212)+E(f864(x10211,x10213,x10214),f864(x10212,x10213,x10214)) % 199.88/201.02 [1022]~E(x10221,x10222)+E(f864(x10223,x10221,x10224),f864(x10223,x10222,x10224)) % 199.88/201.02 [1023]~E(x10231,x10232)+E(f864(x10233,x10234,x10231),f864(x10233,x10234,x10232)) % 199.88/201.02 [1024]~E(x10241,x10242)+E(f243(x10241,x10243,x10244,x10245,x10246),f243(x10242,x10243,x10244,x10245,x10246)) % 199.88/201.02 [1025]~E(x10251,x10252)+E(f243(x10253,x10251,x10254,x10255,x10256),f243(x10253,x10252,x10254,x10255,x10256)) % 199.88/201.02 [1026]~E(x10261,x10262)+E(f243(x10263,x10264,x10261,x10265,x10266),f243(x10263,x10264,x10262,x10265,x10266)) % 199.88/201.02 [1027]~E(x10271,x10272)+E(f243(x10273,x10274,x10275,x10271,x10276),f243(x10273,x10274,x10275,x10272,x10276)) % 199.88/201.02 [1028]~E(x10281,x10282)+E(f243(x10283,x10284,x10285,x10286,x10281),f243(x10283,x10284,x10285,x10286,x10282)) % 199.88/201.02 [1029]~E(x10291,x10292)+E(f238(x10291,x10293),f238(x10292,x10293)) % 199.88/201.02 [1030]~E(x10301,x10302)+E(f238(x10303,x10301),f238(x10303,x10302)) % 199.88/201.02 [1031]~E(x10311,x10312)+E(f829(x10311,x10313,x10314,x10315,x10316,x10317),f829(x10312,x10313,x10314,x10315,x10316,x10317)) % 199.88/201.02 [1032]~E(x10321,x10322)+E(f829(x10323,x10321,x10324,x10325,x10326,x10327),f829(x10323,x10322,x10324,x10325,x10326,x10327)) % 199.88/201.02 [1033]~E(x10331,x10332)+E(f829(x10333,x10334,x10331,x10335,x10336,x10337),f829(x10333,x10334,x10332,x10335,x10336,x10337)) % 199.88/201.02 [1034]~E(x10341,x10342)+E(f829(x10343,x10344,x10345,x10341,x10346,x10347),f829(x10343,x10344,x10345,x10342,x10346,x10347)) % 199.88/201.02 [1035]~E(x10351,x10352)+E(f829(x10353,x10354,x10355,x10356,x10351,x10357),f829(x10353,x10354,x10355,x10356,x10352,x10357)) % 199.88/201.02 [1036]~E(x10361,x10362)+E(f829(x10363,x10364,x10365,x10366,x10367,x10361),f829(x10363,x10364,x10365,x10366,x10367,x10362)) % 199.88/201.02 [1037]~E(x10371,x10372)+E(f76(x10371,x10373),f76(x10372,x10373)) % 199.88/201.02 [1038]~E(x10381,x10382)+E(f76(x10383,x10381),f76(x10383,x10382)) % 199.88/201.02 [1039]~E(x10391,x10392)+E(f624(x10391,x10393,x10394,x10395),f624(x10392,x10393,x10394,x10395)) % 199.88/201.02 [1040]~E(x10401,x10402)+E(f624(x10403,x10401,x10404,x10405),f624(x10403,x10402,x10404,x10405)) % 199.88/201.02 [1041]~E(x10411,x10412)+E(f624(x10413,x10414,x10411,x10415),f624(x10413,x10414,x10412,x10415)) % 199.88/201.02 [1042]~E(x10421,x10422)+E(f624(x10423,x10424,x10425,x10421),f624(x10423,x10424,x10425,x10422)) % 199.88/201.02 [1043]~E(x10431,x10432)+E(f536(x10431,x10433,x10434,x10435),f536(x10432,x10433,x10434,x10435)) % 199.88/201.02 [1044]~E(x10441,x10442)+E(f536(x10443,x10441,x10444,x10445),f536(x10443,x10442,x10444,x10445)) % 199.88/201.02 [1045]~E(x10451,x10452)+E(f536(x10453,x10454,x10451,x10455),f536(x10453,x10454,x10452,x10455)) % 199.88/201.02 [1046]~E(x10461,x10462)+E(f536(x10463,x10464,x10465,x10461),f536(x10463,x10464,x10465,x10462)) % 199.88/201.02 [1047]~E(x10471,x10472)+E(f451(x10471,x10473,x10474,x10475,x10476,x10477),f451(x10472,x10473,x10474,x10475,x10476,x10477)) % 199.88/201.02 [1048]~E(x10481,x10482)+E(f451(x10483,x10481,x10484,x10485,x10486,x10487),f451(x10483,x10482,x10484,x10485,x10486,x10487)) % 199.88/201.02 [1049]~E(x10491,x10492)+E(f451(x10493,x10494,x10491,x10495,x10496,x10497),f451(x10493,x10494,x10492,x10495,x10496,x10497)) % 199.88/201.02 [1050]~E(x10501,x10502)+E(f451(x10503,x10504,x10505,x10501,x10506,x10507),f451(x10503,x10504,x10505,x10502,x10506,x10507)) % 199.88/201.02 [1051]~E(x10511,x10512)+E(f451(x10513,x10514,x10515,x10516,x10511,x10517),f451(x10513,x10514,x10515,x10516,x10512,x10517)) % 199.88/201.02 [1052]~E(x10521,x10522)+E(f451(x10523,x10524,x10525,x10526,x10527,x10521),f451(x10523,x10524,x10525,x10526,x10527,x10522)) % 199.88/201.02 [1053]~E(x10531,x10532)+E(f875(x10531,x10533),f875(x10532,x10533)) % 199.88/201.02 [1054]~E(x10541,x10542)+E(f875(x10543,x10541),f875(x10543,x10542)) % 199.88/201.02 [1055]~E(x10551,x10552)+E(f771(x10551,x10553),f771(x10552,x10553)) % 199.88/201.02 [1056]~E(x10561,x10562)+E(f771(x10563,x10561),f771(x10563,x10562)) % 199.88/201.02 [1057]~E(x10571,x10572)+E(f686(x10571,x10573),f686(x10572,x10573)) % 199.88/201.02 [1058]~E(x10581,x10582)+E(f686(x10583,x10581),f686(x10583,x10582)) % 199.88/201.02 [1059]~E(x10591,x10592)+E(f741(x10591,x10593,x10594),f741(x10592,x10593,x10594)) % 199.88/201.02 [1060]~E(x10601,x10602)+E(f741(x10603,x10601,x10604),f741(x10603,x10602,x10604)) % 199.88/201.02 [1061]~E(x10611,x10612)+E(f741(x10613,x10614,x10611),f741(x10613,x10614,x10612)) % 199.88/201.02 [1062]~E(x10621,x10622)+E(f356(x10621,x10623,x10624,x10625),f356(x10622,x10623,x10624,x10625)) % 199.88/201.02 [1063]~E(x10631,x10632)+E(f356(x10633,x10631,x10634,x10635),f356(x10633,x10632,x10634,x10635)) % 199.88/201.02 [1064]~E(x10641,x10642)+E(f356(x10643,x10644,x10641,x10645),f356(x10643,x10644,x10642,x10645)) % 199.88/201.02 [1065]~E(x10651,x10652)+E(f356(x10653,x10654,x10655,x10651),f356(x10653,x10654,x10655,x10652)) % 199.88/201.02 [1066]~E(x10661,x10662)+E(f282(x10661,x10663),f282(x10662,x10663)) % 199.88/201.02 [1067]~E(x10671,x10672)+E(f282(x10673,x10671),f282(x10673,x10672)) % 199.88/201.02 [1068]~E(x10681,x10682)+E(f256(x10681,x10683),f256(x10682,x10683)) % 199.88/201.02 [1069]~E(x10691,x10692)+E(f256(x10693,x10691),f256(x10693,x10692)) % 199.88/201.02 [1070]~E(x10701,x10702)+E(f396(x10701,x10703,x10704,x10705),f396(x10702,x10703,x10704,x10705)) % 199.88/201.02 [1071]~E(x10711,x10712)+E(f396(x10713,x10711,x10714,x10715),f396(x10713,x10712,x10714,x10715)) % 199.88/201.02 [1072]~E(x10721,x10722)+E(f396(x10723,x10724,x10721,x10725),f396(x10723,x10724,x10722,x10725)) % 199.88/201.02 [1073]~E(x10731,x10732)+E(f396(x10733,x10734,x10735,x10731),f396(x10733,x10734,x10735,x10732)) % 199.88/201.02 [1074]~E(x10741,x10742)+E(f617(x10741,x10743,x10744,x10745),f617(x10742,x10743,x10744,x10745)) % 199.88/201.02 [1075]~E(x10751,x10752)+E(f617(x10753,x10751,x10754,x10755),f617(x10753,x10752,x10754,x10755)) % 199.88/201.02 [1076]~E(x10761,x10762)+E(f617(x10763,x10764,x10761,x10765),f617(x10763,x10764,x10762,x10765)) % 199.88/201.02 [1077]~E(x10771,x10772)+E(f617(x10773,x10774,x10775,x10771),f617(x10773,x10774,x10775,x10772)) % 199.88/201.02 [1078]~E(x10781,x10782)+E(f892(x10781,x10783,x10784),f892(x10782,x10783,x10784)) % 199.88/201.02 [1079]~E(x10791,x10792)+E(f892(x10793,x10791,x10794),f892(x10793,x10792,x10794)) % 199.88/201.02 [1080]~E(x10801,x10802)+E(f892(x10803,x10804,x10801),f892(x10803,x10804,x10802)) % 199.88/201.02 [1081]~E(x10811,x10812)+E(f473(x10811,x10813,x10814,x10815,x10816,x10817,x10818,x10819),f473(x10812,x10813,x10814,x10815,x10816,x10817,x10818,x10819)) % 199.88/201.02 [1082]~E(x10821,x10822)+E(f473(x10823,x10821,x10824,x10825,x10826,x10827,x10828,x10829),f473(x10823,x10822,x10824,x10825,x10826,x10827,x10828,x10829)) % 199.88/201.02 [1083]~E(x10831,x10832)+E(f473(x10833,x10834,x10831,x10835,x10836,x10837,x10838,x10839),f473(x10833,x10834,x10832,x10835,x10836,x10837,x10838,x10839)) % 199.88/201.02 [1084]~E(x10841,x10842)+E(f473(x10843,x10844,x10845,x10841,x10846,x10847,x10848,x10849),f473(x10843,x10844,x10845,x10842,x10846,x10847,x10848,x10849)) % 199.88/201.02 [1085]~E(x10851,x10852)+E(f473(x10853,x10854,x10855,x10856,x10851,x10857,x10858,x10859),f473(x10853,x10854,x10855,x10856,x10852,x10857,x10858,x10859)) % 199.88/201.02 [1086]~E(x10861,x10862)+E(f473(x10863,x10864,x10865,x10866,x10867,x10861,x10868,x10869),f473(x10863,x10864,x10865,x10866,x10867,x10862,x10868,x10869)) % 199.88/201.02 [1087]~E(x10871,x10872)+E(f473(x10873,x10874,x10875,x10876,x10877,x10878,x10871,x10879),f473(x10873,x10874,x10875,x10876,x10877,x10878,x10872,x10879)) % 199.88/201.02 [1088]~E(x10881,x10882)+E(f473(x10883,x10884,x10885,x10886,x10887,x10888,x10889,x10881),f473(x10883,x10884,x10885,x10886,x10887,x10888,x10889,x10882)) % 199.88/201.02 [1089]~E(x10891,x10892)+E(f671(x10891,x10893,x10894),f671(x10892,x10893,x10894)) % 199.88/201.02 [1090]~E(x10901,x10902)+E(f671(x10903,x10901,x10904),f671(x10903,x10902,x10904)) % 199.88/201.02 [1091]~E(x10911,x10912)+E(f671(x10913,x10914,x10911),f671(x10913,x10914,x10912)) % 199.88/201.02 [1092]~E(x10921,x10922)+E(f887(x10921,x10923,x10924),f887(x10922,x10923,x10924)) % 199.88/201.02 [1093]~E(x10931,x10932)+E(f887(x10933,x10931,x10934),f887(x10933,x10932,x10934)) % 199.88/201.02 [1094]~E(x10941,x10942)+E(f887(x10943,x10944,x10941),f887(x10943,x10944,x10942)) % 199.88/201.02 [1095]~E(x10951,x10952)+E(f390(x10951,x10953,x10954),f390(x10952,x10953,x10954)) % 199.88/201.02 [1096]~E(x10961,x10962)+E(f390(x10963,x10961,x10964),f390(x10963,x10962,x10964)) % 199.88/201.02 [1097]~E(x10971,x10972)+E(f390(x10973,x10974,x10971),f390(x10973,x10974,x10972)) % 199.88/201.02 [1098]~E(x10981,x10982)+E(f214(x10981,x10983,x10984,x10985,x10986),f214(x10982,x10983,x10984,x10985,x10986)) % 199.88/201.02 [1099]~E(x10991,x10992)+E(f214(x10993,x10991,x10994,x10995,x10996),f214(x10993,x10992,x10994,x10995,x10996)) % 199.88/201.02 [1100]~E(x11001,x11002)+E(f214(x11003,x11004,x11001,x11005,x11006),f214(x11003,x11004,x11002,x11005,x11006)) % 199.88/201.02 [1101]~E(x11011,x11012)+E(f214(x11013,x11014,x11015,x11011,x11016),f214(x11013,x11014,x11015,x11012,x11016)) % 199.88/201.02 [1102]~E(x11021,x11022)+E(f214(x11023,x11024,x11025,x11026,x11021),f214(x11023,x11024,x11025,x11026,x11022)) % 199.88/201.02 [1103]~E(x11031,x11032)+E(f594(x11031,x11033,x11034,x11035,x11036),f594(x11032,x11033,x11034,x11035,x11036)) % 199.88/201.02 [1104]~E(x11041,x11042)+E(f594(x11043,x11041,x11044,x11045,x11046),f594(x11043,x11042,x11044,x11045,x11046)) % 199.88/201.02 [1105]~E(x11051,x11052)+E(f594(x11053,x11054,x11051,x11055,x11056),f594(x11053,x11054,x11052,x11055,x11056)) % 199.88/201.02 [1106]~E(x11061,x11062)+E(f594(x11063,x11064,x11065,x11061,x11066),f594(x11063,x11064,x11065,x11062,x11066)) % 199.88/201.02 [1107]~E(x11071,x11072)+E(f594(x11073,x11074,x11075,x11076,x11071),f594(x11073,x11074,x11075,x11076,x11072)) % 199.88/201.02 [1108]~E(x11081,x11082)+E(f690(x11081,x11083,x11084),f690(x11082,x11083,x11084)) % 199.88/201.02 [1109]~E(x11091,x11092)+E(f690(x11093,x11091,x11094),f690(x11093,x11092,x11094)) % 199.88/201.02 [1110]~E(x11101,x11102)+E(f690(x11103,x11104,x11101),f690(x11103,x11104,x11102)) % 199.88/201.02 [1111]~E(x11111,x11112)+E(f689(x11111,x11113,x11114),f689(x11112,x11113,x11114)) % 199.88/201.02 [1112]~E(x11121,x11122)+E(f689(x11123,x11121,x11124),f689(x11123,x11122,x11124)) % 199.88/201.02 [1113]~E(x11131,x11132)+E(f689(x11133,x11134,x11131),f689(x11133,x11134,x11132)) % 199.88/201.02 [1114]~E(x11141,x11142)+E(f613(x11141,x11143,x11144),f613(x11142,x11143,x11144)) % 199.88/201.02 [1115]~E(x11151,x11152)+E(f613(x11153,x11151,x11154),f613(x11153,x11152,x11154)) % 199.88/201.02 [1116]~E(x11161,x11162)+E(f613(x11163,x11164,x11161),f613(x11163,x11164,x11162)) % 199.88/201.02 [1117]~E(x11171,x11172)+E(f340(x11171,x11173,x11174,x11175),f340(x11172,x11173,x11174,x11175)) % 199.88/201.02 [1118]~E(x11181,x11182)+E(f340(x11183,x11181,x11184,x11185),f340(x11183,x11182,x11184,x11185)) % 199.88/201.02 [1119]~E(x11191,x11192)+E(f340(x11193,x11194,x11191,x11195),f340(x11193,x11194,x11192,x11195)) % 199.88/201.02 [1120]~E(x11201,x11202)+E(f340(x11203,x11204,x11205,x11201),f340(x11203,x11204,x11205,x11202)) % 199.88/201.02 [1121]~E(x11211,x11212)+E(f265(x11211,x11213),f265(x11212,x11213)) % 199.88/201.02 [1122]~E(x11221,x11222)+E(f265(x11223,x11221),f265(x11223,x11222)) % 199.88/201.02 [1123]~E(x11231,x11232)+E(f264(x11231,x11233,x11234),f264(x11232,x11233,x11234)) % 199.88/201.02 [1124]~E(x11241,x11242)+E(f264(x11243,x11241,x11244),f264(x11243,x11242,x11244)) % 199.88/201.02 [1125]~E(x11251,x11252)+E(f264(x11253,x11254,x11251),f264(x11253,x11254,x11252)) % 199.88/201.02 [1126]~E(x11261,x11262)+E(f220(x11261,x11263,x11264),f220(x11262,x11263,x11264)) % 199.88/201.02 [1127]~E(x11271,x11272)+E(f220(x11273,x11271,x11274),f220(x11273,x11272,x11274)) % 199.88/201.02 [1128]~E(x11281,x11282)+E(f220(x11283,x11284,x11281),f220(x11283,x11284,x11282)) % 199.88/201.02 [1129]~E(x11291,x11292)+E(f385(x11291,x11293,x11294,x11295),f385(x11292,x11293,x11294,x11295)) % 199.88/201.02 [1130]~E(x11301,x11302)+E(f385(x11303,x11301,x11304,x11305),f385(x11303,x11302,x11304,x11305)) % 199.88/201.02 [1131]~E(x11311,x11312)+E(f385(x11313,x11314,x11311,x11315),f385(x11313,x11314,x11312,x11315)) % 199.88/201.02 [1132]~E(x11321,x11322)+E(f385(x11323,x11324,x11325,x11321),f385(x11323,x11324,x11325,x11322)) % 199.88/201.02 [1133]~E(x11331,x11332)+E(f119(x11331),f119(x11332)) % 199.88/201.02 [1134]~E(x11341,x11342)+E(f672(x11341,x11343,x11344,x11345,x11346),f672(x11342,x11343,x11344,x11345,x11346)) % 199.88/201.02 [1135]~E(x11351,x11352)+E(f672(x11353,x11351,x11354,x11355,x11356),f672(x11353,x11352,x11354,x11355,x11356)) % 199.88/201.02 [1136]~E(x11361,x11362)+E(f672(x11363,x11364,x11361,x11365,x11366),f672(x11363,x11364,x11362,x11365,x11366)) % 199.88/201.02 [1137]~E(x11371,x11372)+E(f672(x11373,x11374,x11375,x11371,x11376),f672(x11373,x11374,x11375,x11372,x11376)) % 199.88/201.02 [1138]~E(x11381,x11382)+E(f672(x11383,x11384,x11385,x11386,x11381),f672(x11383,x11384,x11385,x11386,x11382)) % 199.88/201.02 [1139]~E(x11391,x11392)+E(f615(x11391,x11393),f615(x11392,x11393)) % 199.88/201.02 [1140]~E(x11401,x11402)+E(f615(x11403,x11401),f615(x11403,x11402)) % 199.88/201.02 [1141]~E(x11411,x11412)+E(f429(x11411,x11413,x11414),f429(x11412,x11413,x11414)) % 199.88/201.02 [1142]~E(x11421,x11422)+E(f429(x11423,x11421,x11424),f429(x11423,x11422,x11424)) % 199.88/201.02 [1143]~E(x11431,x11432)+E(f429(x11433,x11434,x11431),f429(x11433,x11434,x11432)) % 199.88/201.02 [1144]~E(x11441,x11442)+E(f346(x11441,x11443),f346(x11442,x11443)) % 199.88/201.02 [1145]~E(x11451,x11452)+E(f346(x11453,x11451),f346(x11453,x11452)) % 199.88/201.02 [1146]~E(x11461,x11462)+E(f322(x11461),f322(x11462)) % 199.88/201.02 [1147]~E(x11471,x11472)+E(f401(x11471),f401(x11472)) % 199.88/201.02 [1148]~E(x11481,x11482)+E(f389(x11481,x11483,x11484,x11485),f389(x11482,x11483,x11484,x11485)) % 199.88/201.02 [1149]~E(x11491,x11492)+E(f389(x11493,x11491,x11494,x11495),f389(x11493,x11492,x11494,x11495)) % 199.88/201.02 [1150]~E(x11501,x11502)+E(f389(x11503,x11504,x11501,x11505),f389(x11503,x11504,x11502,x11505)) % 199.88/201.02 [1151]~E(x11511,x11512)+E(f389(x11513,x11514,x11515,x11511),f389(x11513,x11514,x11515,x11512)) % 199.88/201.02 [1152]~E(x11521,x11522)+E(f636(x11521,x11523,x11524),f636(x11522,x11523,x11524)) % 199.88/201.02 [1153]~E(x11531,x11532)+E(f636(x11533,x11531,x11534),f636(x11533,x11532,x11534)) % 199.88/201.02 [1154]~E(x11541,x11542)+E(f636(x11543,x11544,x11541),f636(x11543,x11544,x11542)) % 199.88/201.02 [1155]~E(x11551,x11552)+E(f714(x11551,x11553,x11554,x11555,x11556),f714(x11552,x11553,x11554,x11555,x11556)) % 199.88/201.02 [1156]~E(x11561,x11562)+E(f714(x11563,x11561,x11564,x11565,x11566),f714(x11563,x11562,x11564,x11565,x11566)) % 199.88/201.02 [1157]~E(x11571,x11572)+E(f714(x11573,x11574,x11571,x11575,x11576),f714(x11573,x11574,x11572,x11575,x11576)) % 199.88/201.02 [1158]~E(x11581,x11582)+E(f714(x11583,x11584,x11585,x11581,x11586),f714(x11583,x11584,x11585,x11582,x11586)) % 199.88/201.02 [1159]~E(x11591,x11592)+E(f714(x11593,x11594,x11595,x11596,x11591),f714(x11593,x11594,x11595,x11596,x11592)) % 199.88/201.02 [1160]~E(x11601,x11602)+E(f556(x11601,x11603),f556(x11602,x11603)) % 199.88/201.02 [1161]~E(x11611,x11612)+E(f556(x11613,x11611),f556(x11613,x11612)) % 199.88/201.02 [1162]~E(x11621,x11622)+E(f654(x11621,x11623,x11624,x11625),f654(x11622,x11623,x11624,x11625)) % 199.88/201.02 [1163]~E(x11631,x11632)+E(f654(x11633,x11631,x11634,x11635),f654(x11633,x11632,x11634,x11635)) % 199.88/201.02 [1164]~E(x11641,x11642)+E(f654(x11643,x11644,x11641,x11645),f654(x11643,x11644,x11642,x11645)) % 199.88/201.02 [1165]~E(x11651,x11652)+E(f654(x11653,x11654,x11655,x11651),f654(x11653,x11654,x11655,x11652)) % 199.88/201.02 [1166]~E(x11661,x11662)+E(f122(x11661,x11663),f122(x11662,x11663)) % 199.88/201.02 [1167]~E(x11671,x11672)+E(f122(x11673,x11671),f122(x11673,x11672)) % 199.88/201.02 [1168]~E(x11681,x11682)+E(f492(x11681,x11683,x11684),f492(x11682,x11683,x11684)) % 199.88/201.02 [1169]~E(x11691,x11692)+E(f492(x11693,x11691,x11694),f492(x11693,x11692,x11694)) % 199.88/201.02 [1170]~E(x11701,x11702)+E(f492(x11703,x11704,x11701),f492(x11703,x11704,x11702)) % 199.88/201.02 [1171]~E(x11711,x11712)+E(f642(x11711,x11713,x11714,x11715,x11716),f642(x11712,x11713,x11714,x11715,x11716)) % 199.88/201.02 [1172]~E(x11721,x11722)+E(f642(x11723,x11721,x11724,x11725,x11726),f642(x11723,x11722,x11724,x11725,x11726)) % 199.88/201.02 [1173]~E(x11731,x11732)+E(f642(x11733,x11734,x11731,x11735,x11736),f642(x11733,x11734,x11732,x11735,x11736)) % 199.88/201.02 [1174]~E(x11741,x11742)+E(f642(x11743,x11744,x11745,x11741,x11746),f642(x11743,x11744,x11745,x11742,x11746)) % 199.88/201.02 [1175]~E(x11751,x11752)+E(f642(x11753,x11754,x11755,x11756,x11751),f642(x11753,x11754,x11755,x11756,x11752)) % 199.88/201.02 [1176]~E(x11761,x11762)+E(f703(x11761,x11763),f703(x11762,x11763)) % 199.88/201.02 [1177]~E(x11771,x11772)+E(f703(x11773,x11771),f703(x11773,x11772)) % 199.88/201.02 [1178]~E(x11781,x11782)+E(f616(x11781,x11783,x11784,x11785,x11786),f616(x11782,x11783,x11784,x11785,x11786)) % 199.88/201.02 [1179]~E(x11791,x11792)+E(f616(x11793,x11791,x11794,x11795,x11796),f616(x11793,x11792,x11794,x11795,x11796)) % 199.88/201.02 [1180]~E(x11801,x11802)+E(f616(x11803,x11804,x11801,x11805,x11806),f616(x11803,x11804,x11802,x11805,x11806)) % 199.88/201.02 [1181]~E(x11811,x11812)+E(f616(x11813,x11814,x11815,x11811,x11816),f616(x11813,x11814,x11815,x11812,x11816)) % 199.88/201.02 [1182]~E(x11821,x11822)+E(f616(x11823,x11824,x11825,x11826,x11821),f616(x11823,x11824,x11825,x11826,x11822)) % 199.88/201.02 [1183]~E(x11831,x11832)+E(f421(x11831,x11833,x11834,x11835,x11836),f421(x11832,x11833,x11834,x11835,x11836)) % 199.88/201.02 [1184]~E(x11841,x11842)+E(f421(x11843,x11841,x11844,x11845,x11846),f421(x11843,x11842,x11844,x11845,x11846)) % 199.88/201.02 [1185]~E(x11851,x11852)+E(f421(x11853,x11854,x11851,x11855,x11856),f421(x11853,x11854,x11852,x11855,x11856)) % 199.88/201.02 [1186]~E(x11861,x11862)+E(f421(x11863,x11864,x11865,x11861,x11866),f421(x11863,x11864,x11865,x11862,x11866)) % 199.88/201.02 [1187]~E(x11871,x11872)+E(f421(x11873,x11874,x11875,x11876,x11871),f421(x11873,x11874,x11875,x11876,x11872)) % 199.88/201.02 [1188]~E(x11881,x11882)+E(f880(x11881,x11883,x11884),f880(x11882,x11883,x11884)) % 199.88/201.02 [1189]~E(x11891,x11892)+E(f880(x11893,x11891,x11894),f880(x11893,x11892,x11894)) % 199.88/201.02 [1190]~E(x11901,x11902)+E(f880(x11903,x11904,x11901),f880(x11903,x11904,x11902)) % 199.88/201.02 [1191]~E(x11911,x11912)+E(f586(x11911,x11913,x11914),f586(x11912,x11913,x11914)) % 199.88/201.02 [1192]~E(x11921,x11922)+E(f586(x11923,x11921,x11924),f586(x11923,x11922,x11924)) % 199.88/201.02 [1193]~E(x11931,x11932)+E(f586(x11933,x11934,x11931),f586(x11933,x11934,x11932)) % 199.88/201.02 [1194]~E(x11941,x11942)+E(f707(x11941,x11943),f707(x11942,x11943)) % 199.88/201.02 [1195]~E(x11951,x11952)+E(f707(x11953,x11951),f707(x11953,x11952)) % 199.88/201.02 [1196]~E(x11961,x11962)+E(f513(x11961,x11963,x11964),f513(x11962,x11963,x11964)) % 199.88/201.02 [1197]~E(x11971,x11972)+E(f513(x11973,x11971,x11974),f513(x11973,x11972,x11974)) % 199.88/201.02 [1198]~E(x11981,x11982)+E(f513(x11983,x11984,x11981),f513(x11983,x11984,x11982)) % 199.88/201.02 [1199]~E(x11991,x11992)+E(f106(x11991,x11993,x11994),f106(x11992,x11993,x11994)) % 199.88/201.02 [1200]~E(x12001,x12002)+E(f106(x12003,x12001,x12004),f106(x12003,x12002,x12004)) % 199.88/201.02 [1201]~E(x12011,x12012)+E(f106(x12013,x12014,x12011),f106(x12013,x12014,x12012)) % 199.88/201.02 [1202]~E(x12021,x12022)+E(f861(x12021,x12023,x12024),f861(x12022,x12023,x12024)) % 199.88/201.02 [1203]~E(x12031,x12032)+E(f861(x12033,x12031,x12034),f861(x12033,x12032,x12034)) % 199.88/201.02 [1204]~E(x12041,x12042)+E(f861(x12043,x12044,x12041),f861(x12043,x12044,x12042)) % 199.88/201.02 [1205]~E(x12051,x12052)+E(f163(x12051,x12053,x12054),f163(x12052,x12053,x12054)) % 199.88/201.02 [1206]~E(x12061,x12062)+E(f163(x12063,x12061,x12064),f163(x12063,x12062,x12064)) % 199.88/201.02 [1207]~E(x12071,x12072)+E(f163(x12073,x12074,x12071),f163(x12073,x12074,x12072)) % 199.88/201.02 [1208]~E(x12081,x12082)+E(f189(x12081,x12083),f189(x12082,x12083)) % 199.88/201.02 [1209]~E(x12091,x12092)+E(f189(x12093,x12091),f189(x12093,x12092)) % 199.88/201.02 [1210]~E(x12101,x12102)+E(f283(x12101,x12103),f283(x12102,x12103)) % 199.88/201.02 [1211]~E(x12111,x12112)+E(f283(x12113,x12111),f283(x12113,x12112)) % 199.88/201.02 [1212]~E(x12121,x12122)+E(f882(x12121,x12123,x12124),f882(x12122,x12123,x12124)) % 199.88/201.02 [1213]~E(x12131,x12132)+E(f882(x12133,x12131,x12134),f882(x12133,x12132,x12134)) % 199.88/201.02 [1214]~E(x12141,x12142)+E(f882(x12143,x12144,x12141),f882(x12143,x12144,x12142)) % 199.88/201.02 [1215]~E(x12151,x12152)+E(f583(x12151,x12153,x12154),f583(x12152,x12153,x12154)) % 199.88/201.02 [1216]~E(x12161,x12162)+E(f583(x12163,x12161,x12164),f583(x12163,x12162,x12164)) % 199.88/201.02 [1217]~E(x12171,x12172)+E(f583(x12173,x12174,x12171),f583(x12173,x12174,x12172)) % 199.88/201.02 [1218]~E(x12181,x12182)+E(f113(x12181),f113(x12182)) % 199.88/201.02 [1219]~E(x12191,x12192)+E(f38(x12191),f38(x12192)) % 199.88/201.02 [1220]~E(x12201,x12202)+E(f444(x12201,x12203,x12204,x12205,x12206),f444(x12202,x12203,x12204,x12205,x12206)) % 199.88/201.02 [1221]~E(x12211,x12212)+E(f444(x12213,x12211,x12214,x12215,x12216),f444(x12213,x12212,x12214,x12215,x12216)) % 199.88/201.02 [1222]~E(x12221,x12222)+E(f444(x12223,x12224,x12221,x12225,x12226),f444(x12223,x12224,x12222,x12225,x12226)) % 199.88/201.02 [1223]~E(x12231,x12232)+E(f444(x12233,x12234,x12235,x12231,x12236),f444(x12233,x12234,x12235,x12232,x12236)) % 199.88/201.02 [1224]~E(x12241,x12242)+E(f444(x12243,x12244,x12245,x12246,x12241),f444(x12243,x12244,x12245,x12246,x12242)) % 199.88/201.02 [1225]~E(x12251,x12252)+E(f791(x12251,x12253,x12254,x12255,x12256,x12257),f791(x12252,x12253,x12254,x12255,x12256,x12257)) % 199.88/201.02 [1226]~E(x12261,x12262)+E(f791(x12263,x12261,x12264,x12265,x12266,x12267),f791(x12263,x12262,x12264,x12265,x12266,x12267)) % 199.88/201.02 [1227]~E(x12271,x12272)+E(f791(x12273,x12274,x12271,x12275,x12276,x12277),f791(x12273,x12274,x12272,x12275,x12276,x12277)) % 199.88/201.02 [1228]~E(x12281,x12282)+E(f791(x12283,x12284,x12285,x12281,x12286,x12287),f791(x12283,x12284,x12285,x12282,x12286,x12287)) % 199.88/201.02 [1229]~E(x12291,x12292)+E(f791(x12293,x12294,x12295,x12296,x12291,x12297),f791(x12293,x12294,x12295,x12296,x12292,x12297)) % 199.88/201.02 [1230]~E(x12301,x12302)+E(f791(x12303,x12304,x12305,x12306,x12307,x12301),f791(x12303,x12304,x12305,x12306,x12307,x12302)) % 199.88/201.02 [1231]~E(x12311,x12312)+E(f484(x12311,x12313,x12314,x12315),f484(x12312,x12313,x12314,x12315)) % 199.88/201.02 [1232]~E(x12321,x12322)+E(f484(x12323,x12321,x12324,x12325),f484(x12323,x12322,x12324,x12325)) % 199.88/201.02 [1233]~E(x12331,x12332)+E(f484(x12333,x12334,x12331,x12335),f484(x12333,x12334,x12332,x12335)) % 199.88/201.02 [1234]~E(x12341,x12342)+E(f484(x12343,x12344,x12345,x12341),f484(x12343,x12344,x12345,x12342)) % 199.88/201.02 [1235]~E(x12351,x12352)+E(f656(x12351,x12353,x12354,x12355,x12356),f656(x12352,x12353,x12354,x12355,x12356)) % 199.88/201.02 [1236]~E(x12361,x12362)+E(f656(x12363,x12361,x12364,x12365,x12366),f656(x12363,x12362,x12364,x12365,x12366)) % 199.88/201.02 [1237]~E(x12371,x12372)+E(f656(x12373,x12374,x12371,x12375,x12376),f656(x12373,x12374,x12372,x12375,x12376)) % 199.88/201.02 [1238]~E(x12381,x12382)+E(f656(x12383,x12384,x12385,x12381,x12386),f656(x12383,x12384,x12385,x12382,x12386)) % 199.88/201.02 [1239]~E(x12391,x12392)+E(f656(x12393,x12394,x12395,x12396,x12391),f656(x12393,x12394,x12395,x12396,x12392)) % 199.88/201.02 [1240]~E(x12401,x12402)+E(f464(x12401,x12403,x12404,x12405),f464(x12402,x12403,x12404,x12405)) % 199.88/201.02 [1241]~E(x12411,x12412)+E(f464(x12413,x12411,x12414,x12415),f464(x12413,x12412,x12414,x12415)) % 199.88/201.02 [1242]~E(x12421,x12422)+E(f464(x12423,x12424,x12421,x12425),f464(x12423,x12424,x12422,x12425)) % 199.88/201.02 [1243]~E(x12431,x12432)+E(f464(x12433,x12434,x12435,x12431),f464(x12433,x12434,x12435,x12432)) % 199.88/201.02 [1244]~E(x12441,x12442)+E(f639(x12441,x12443,x12444),f639(x12442,x12443,x12444)) % 199.88/201.02 [1245]~E(x12451,x12452)+E(f639(x12453,x12451,x12454),f639(x12453,x12452,x12454)) % 199.88/201.02 [1246]~E(x12461,x12462)+E(f639(x12463,x12464,x12461),f639(x12463,x12464,x12462)) % 199.88/201.02 [1247]~E(x12471,x12472)+E(f303(x12471,x12473,x12474,x12475),f303(x12472,x12473,x12474,x12475)) % 199.88/201.02 [1248]~E(x12481,x12482)+E(f303(x12483,x12481,x12484,x12485),f303(x12483,x12482,x12484,x12485)) % 199.88/201.02 [1249]~E(x12491,x12492)+E(f303(x12493,x12494,x12491,x12495),f303(x12493,x12494,x12492,x12495)) % 199.88/201.02 [1250]~E(x12501,x12502)+E(f303(x12503,x12504,x12505,x12501),f303(x12503,x12504,x12505,x12502)) % 199.88/201.02 [1251]~E(x12511,x12512)+E(f723(x12511,x12513,x12514,x12515,x12516),f723(x12512,x12513,x12514,x12515,x12516)) % 199.88/201.02 [1252]~E(x12521,x12522)+E(f723(x12523,x12521,x12524,x12525,x12526),f723(x12523,x12522,x12524,x12525,x12526)) % 199.88/201.02 [1253]~E(x12531,x12532)+E(f723(x12533,x12534,x12531,x12535,x12536),f723(x12533,x12534,x12532,x12535,x12536)) % 199.88/201.02 [1254]~E(x12541,x12542)+E(f723(x12543,x12544,x12545,x12541,x12546),f723(x12543,x12544,x12545,x12542,x12546)) % 199.88/201.02 [1255]~E(x12551,x12552)+E(f723(x12553,x12554,x12555,x12556,x12551),f723(x12553,x12554,x12555,x12556,x12552)) % 199.88/201.02 [1256]~E(x12561,x12562)+E(f343(x12561,x12563,x12564,x12565),f343(x12562,x12563,x12564,x12565)) % 199.88/201.02 [1257]~E(x12571,x12572)+E(f343(x12573,x12571,x12574,x12575),f343(x12573,x12572,x12574,x12575)) % 199.88/201.02 [1258]~E(x12581,x12582)+E(f343(x12583,x12584,x12581,x12585),f343(x12583,x12584,x12582,x12585)) % 199.88/201.02 [1259]~E(x12591,x12592)+E(f343(x12593,x12594,x12595,x12591),f343(x12593,x12594,x12595,x12592)) % 199.88/201.02 [1260]~E(x12601,x12602)+E(f794(x12601,x12603),f794(x12602,x12603)) % 199.88/201.02 [1261]~E(x12611,x12612)+E(f794(x12613,x12611),f794(x12613,x12612)) % 199.88/201.02 [1262]~E(x12621,x12622)+E(f331(x12621,x12623),f331(x12622,x12623)) % 199.88/201.02 [1263]~E(x12631,x12632)+E(f331(x12633,x12631),f331(x12633,x12632)) % 199.88/201.02 [1264]~E(x12641,x12642)+E(f694(x12641,x12643),f694(x12642,x12643)) % 199.88/201.02 [1265]~E(x12651,x12652)+E(f694(x12653,x12651),f694(x12653,x12652)) % 199.88/201.02 [1266]~E(x12661,x12662)+E(f870(x12661,x12663,x12664),f870(x12662,x12663,x12664)) % 199.88/201.02 [1267]~E(x12671,x12672)+E(f870(x12673,x12671,x12674),f870(x12673,x12672,x12674)) % 199.88/201.02 [1268]~E(x12681,x12682)+E(f870(x12683,x12684,x12681),f870(x12683,x12684,x12682)) % 199.88/201.02 [1269]~E(x12691,x12692)+E(f309(x12691,x12693,x12694,x12695),f309(x12692,x12693,x12694,x12695)) % 199.88/201.02 [1270]~E(x12701,x12702)+E(f309(x12703,x12701,x12704,x12705),f309(x12703,x12702,x12704,x12705)) % 199.88/201.02 [1271]~E(x12711,x12712)+E(f309(x12713,x12714,x12711,x12715),f309(x12713,x12714,x12712,x12715)) % 199.88/201.02 [1272]~E(x12721,x12722)+E(f309(x12723,x12724,x12725,x12721),f309(x12723,x12724,x12725,x12722)) % 199.88/201.02 [1273]~E(x12731,x12732)+E(f841(x12731,x12733,x12734),f841(x12732,x12733,x12734)) % 199.88/201.02 [1274]~E(x12741,x12742)+E(f841(x12743,x12741,x12744),f841(x12743,x12742,x12744)) % 199.88/201.02 [1275]~E(x12751,x12752)+E(f841(x12753,x12754,x12751),f841(x12753,x12754,x12752)) % 199.88/201.02 [1276]~E(x12761,x12762)+E(f330(x12761,x12763,x12764),f330(x12762,x12763,x12764)) % 199.88/201.02 [1277]~E(x12771,x12772)+E(f330(x12773,x12771,x12774),f330(x12773,x12772,x12774)) % 199.88/201.02 [1278]~E(x12781,x12782)+E(f330(x12783,x12784,x12781),f330(x12783,x12784,x12782)) % 199.88/201.02 [1279]~E(x12791,x12792)+E(f338(x12791,x12793,x12794),f338(x12792,x12793,x12794)) % 199.88/201.02 [1280]~E(x12801,x12802)+E(f338(x12803,x12801,x12804),f338(x12803,x12802,x12804)) % 199.88/201.02 [1281]~E(x12811,x12812)+E(f338(x12813,x12814,x12811),f338(x12813,x12814,x12812)) % 199.88/201.02 [1282]~E(x12821,x12822)+E(f641(x12821,x12823,x12824,x12825),f641(x12822,x12823,x12824,x12825)) % 199.88/201.02 [1283]~E(x12831,x12832)+E(f641(x12833,x12831,x12834,x12835),f641(x12833,x12832,x12834,x12835)) % 199.88/201.02 [1284]~E(x12841,x12842)+E(f641(x12843,x12844,x12841,x12845),f641(x12843,x12844,x12842,x12845)) % 199.88/201.02 [1285]~E(x12851,x12852)+E(f641(x12853,x12854,x12855,x12851),f641(x12853,x12854,x12855,x12852)) % 199.88/201.02 [1286]~E(x12861,x12862)+E(f663(x12861,x12863,x12864,x12865),f663(x12862,x12863,x12864,x12865)) % 199.88/201.02 [1287]~E(x12871,x12872)+E(f663(x12873,x12871,x12874,x12875),f663(x12873,x12872,x12874,x12875)) % 199.88/201.02 [1288]~E(x12881,x12882)+E(f663(x12883,x12884,x12881,x12885),f663(x12883,x12884,x12882,x12885)) % 199.88/201.02 [1289]~E(x12891,x12892)+E(f663(x12893,x12894,x12895,x12891),f663(x12893,x12894,x12895,x12892)) % 199.88/201.02 [1290]~E(x12901,x12902)+E(f631(x12901,x12903,x12904,x12905,x12906),f631(x12902,x12903,x12904,x12905,x12906)) % 199.88/201.02 [1291]~E(x12911,x12912)+E(f631(x12913,x12911,x12914,x12915,x12916),f631(x12913,x12912,x12914,x12915,x12916)) % 199.88/201.02 [1292]~E(x12921,x12922)+E(f631(x12923,x12924,x12921,x12925,x12926),f631(x12923,x12924,x12922,x12925,x12926)) % 199.88/201.02 [1293]~E(x12931,x12932)+E(f631(x12933,x12934,x12935,x12931,x12936),f631(x12933,x12934,x12935,x12932,x12936)) % 199.88/201.02 [1294]~E(x12941,x12942)+E(f631(x12943,x12944,x12945,x12946,x12941),f631(x12943,x12944,x12945,x12946,x12942)) % 199.88/201.02 [1295]~E(x12951,x12952)+E(f197(x12951,x12953,x12954,x12955,x12956,x12957,x12958),f197(x12952,x12953,x12954,x12955,x12956,x12957,x12958)) % 199.88/201.02 [1296]~E(x12961,x12962)+E(f197(x12963,x12961,x12964,x12965,x12966,x12967,x12968),f197(x12963,x12962,x12964,x12965,x12966,x12967,x12968)) % 199.88/201.02 [1297]~E(x12971,x12972)+E(f197(x12973,x12974,x12971,x12975,x12976,x12977,x12978),f197(x12973,x12974,x12972,x12975,x12976,x12977,x12978)) % 199.88/201.02 [1298]~E(x12981,x12982)+E(f197(x12983,x12984,x12985,x12981,x12986,x12987,x12988),f197(x12983,x12984,x12985,x12982,x12986,x12987,x12988)) % 199.88/201.02 [1299]~E(x12991,x12992)+E(f197(x12993,x12994,x12995,x12996,x12991,x12997,x12998),f197(x12993,x12994,x12995,x12996,x12992,x12997,x12998)) % 199.88/201.02 [1300]~E(x13001,x13002)+E(f197(x13003,x13004,x13005,x13006,x13007,x13001,x13008),f197(x13003,x13004,x13005,x13006,x13007,x13002,x13008)) % 199.88/201.02 [1301]~E(x13011,x13012)+E(f197(x13013,x13014,x13015,x13016,x13017,x13018,x13011),f197(x13013,x13014,x13015,x13016,x13017,x13018,x13012)) % 199.88/201.02 [1302]~E(x13021,x13022)+E(f261(x13021,x13023,x13024,x13025),f261(x13022,x13023,x13024,x13025)) % 199.88/201.02 [1303]~E(x13031,x13032)+E(f261(x13033,x13031,x13034,x13035),f261(x13033,x13032,x13034,x13035)) % 199.88/201.02 [1304]~E(x13041,x13042)+E(f261(x13043,x13044,x13041,x13045),f261(x13043,x13044,x13042,x13045)) % 199.88/201.02 [1305]~E(x13051,x13052)+E(f261(x13053,x13054,x13055,x13051),f261(x13053,x13054,x13055,x13052)) % 199.88/201.02 [1306]~E(x13061,x13062)+E(f130(x13061,x13063,x13064),f130(x13062,x13063,x13064)) % 199.88/201.02 [1307]~E(x13071,x13072)+E(f130(x13073,x13071,x13074),f130(x13073,x13072,x13074)) % 199.88/201.02 [1308]~E(x13081,x13082)+E(f130(x13083,x13084,x13081),f130(x13083,x13084,x13082)) % 199.88/201.02 [1309]~E(x13091,x13092)+E(f194(x13091),f194(x13092)) % 199.88/201.02 [1310]~E(x13101,x13102)+E(f772(x13101),f772(x13102)) % 199.88/201.02 [1311]~E(x13111,x13112)+E(f365(x13111,x13113,x13114,x13115,x13116),f365(x13112,x13113,x13114,x13115,x13116)) % 199.88/201.02 [1312]~E(x13121,x13122)+E(f365(x13123,x13121,x13124,x13125,x13126),f365(x13123,x13122,x13124,x13125,x13126)) % 199.88/201.02 [1313]~E(x13131,x13132)+E(f365(x13133,x13134,x13131,x13135,x13136),f365(x13133,x13134,x13132,x13135,x13136)) % 199.88/201.02 [1314]~E(x13141,x13142)+E(f365(x13143,x13144,x13145,x13141,x13146),f365(x13143,x13144,x13145,x13142,x13146)) % 199.88/201.02 [1315]~E(x13151,x13152)+E(f365(x13153,x13154,x13155,x13156,x13151),f365(x13153,x13154,x13155,x13156,x13152)) % 199.88/201.02 [1316]~E(x13161,x13162)+E(f553(x13161,x13163,x13164,x13165),f553(x13162,x13163,x13164,x13165)) % 199.88/201.02 [1317]~E(x13171,x13172)+E(f553(x13173,x13171,x13174,x13175),f553(x13173,x13172,x13174,x13175)) % 199.88/201.02 [1318]~E(x13181,x13182)+E(f553(x13183,x13184,x13181,x13185),f553(x13183,x13184,x13182,x13185)) % 199.88/201.02 [1319]~E(x13191,x13192)+E(f553(x13193,x13194,x13195,x13191),f553(x13193,x13194,x13195,x13192)) % 199.88/201.02 [1320]~E(x13201,x13202)+E(f667(x13201,x13203,x13204),f667(x13202,x13203,x13204)) % 199.88/201.02 [1321]~E(x13211,x13212)+E(f667(x13213,x13211,x13214),f667(x13213,x13212,x13214)) % 199.88/201.02 [1322]~E(x13221,x13222)+E(f667(x13223,x13224,x13221),f667(x13223,x13224,x13222)) % 199.88/201.02 [1323]~E(x13231,x13232)+E(f547(x13231,x13233,x13234),f547(x13232,x13233,x13234)) % 199.88/201.02 [1324]~E(x13241,x13242)+E(f547(x13243,x13241,x13244),f547(x13243,x13242,x13244)) % 199.88/201.02 [1325]~E(x13251,x13252)+E(f547(x13253,x13254,x13251),f547(x13253,x13254,x13252)) % 199.88/201.02 [1326]~E(x13261,x13262)+E(f405(x13261,x13263),f405(x13262,x13263)) % 199.88/201.02 [1327]~E(x13271,x13272)+E(f405(x13273,x13271),f405(x13273,x13272)) % 199.88/201.02 [1328]~E(x13281,x13282)+E(f402(x13281,x13283),f402(x13282,x13283)) % 199.88/201.02 [1329]~E(x13291,x13292)+E(f402(x13293,x13291),f402(x13293,x13292)) % 199.88/201.02 [1330]~E(x13301,x13302)+E(f422(x13301,x13303,x13304,x13305,x13306),f422(x13302,x13303,x13304,x13305,x13306)) % 199.88/201.02 [1331]~E(x13311,x13312)+E(f422(x13313,x13311,x13314,x13315,x13316),f422(x13313,x13312,x13314,x13315,x13316)) % 199.88/201.02 [1332]~E(x13321,x13322)+E(f422(x13323,x13324,x13321,x13325,x13326),f422(x13323,x13324,x13322,x13325,x13326)) % 199.88/201.02 [1333]~E(x13331,x13332)+E(f422(x13333,x13334,x13335,x13331,x13336),f422(x13333,x13334,x13335,x13332,x13336)) % 199.88/201.02 [1334]~E(x13341,x13342)+E(f422(x13343,x13344,x13345,x13346,x13341),f422(x13343,x13344,x13345,x13346,x13342)) % 199.88/201.02 [1335]~E(x13351,x13352)+E(f511(x13351,x13353,x13354,x13355,x13356,x13357,x13358,x13359),f511(x13352,x13353,x13354,x13355,x13356,x13357,x13358,x13359)) % 199.88/201.02 [1336]~E(x13361,x13362)+E(f511(x13363,x13361,x13364,x13365,x13366,x13367,x13368,x13369),f511(x13363,x13362,x13364,x13365,x13366,x13367,x13368,x13369)) % 199.88/201.02 [1337]~E(x13371,x13372)+E(f511(x13373,x13374,x13371,x13375,x13376,x13377,x13378,x13379),f511(x13373,x13374,x13372,x13375,x13376,x13377,x13378,x13379)) % 199.88/201.02 [1338]~E(x13381,x13382)+E(f511(x13383,x13384,x13385,x13381,x13386,x13387,x13388,x13389),f511(x13383,x13384,x13385,x13382,x13386,x13387,x13388,x13389)) % 199.88/201.02 [1339]~E(x13391,x13392)+E(f511(x13393,x13394,x13395,x13396,x13391,x13397,x13398,x13399),f511(x13393,x13394,x13395,x13396,x13392,x13397,x13398,x13399)) % 199.88/201.02 [1340]~E(x13401,x13402)+E(f511(x13403,x13404,x13405,x13406,x13407,x13401,x13408,x13409),f511(x13403,x13404,x13405,x13406,x13407,x13402,x13408,x13409)) % 199.88/201.02 [1341]~E(x13411,x13412)+E(f511(x13413,x13414,x13415,x13416,x13417,x13418,x13411,x13419),f511(x13413,x13414,x13415,x13416,x13417,x13418,x13412,x13419)) % 199.88/201.02 [1342]~E(x13421,x13422)+E(f511(x13423,x13424,x13425,x13426,x13427,x13428,x13429,x13421),f511(x13423,x13424,x13425,x13426,x13427,x13428,x13429,x13422)) % 199.88/201.02 [1343]~E(x13431,x13432)+E(f41(x13431,x13433),f41(x13432,x13433)) % 199.88/201.02 [1344]~E(x13441,x13442)+E(f41(x13443,x13441),f41(x13443,x13442)) % 199.88/201.02 [1345]~E(x13451,x13452)+E(f269(x13451,x13453,x13454,x13455),f269(x13452,x13453,x13454,x13455)) % 199.88/201.02 [1346]~E(x13461,x13462)+E(f269(x13463,x13461,x13464,x13465),f269(x13463,x13462,x13464,x13465)) % 199.88/201.02 [1347]~E(x13471,x13472)+E(f269(x13473,x13474,x13471,x13475),f269(x13473,x13474,x13472,x13475)) % 199.88/201.02 [1348]~E(x13481,x13482)+E(f269(x13483,x13484,x13485,x13481),f269(x13483,x13484,x13485,x13482)) % 199.88/201.02 [1349]~E(x13491,x13492)+E(f112(x13491,x13493,x13494,x13495),f112(x13492,x13493,x13494,x13495)) % 199.88/201.02 [1350]~E(x13501,x13502)+E(f112(x13503,x13501,x13504,x13505),f112(x13503,x13502,x13504,x13505)) % 199.88/201.02 [1351]~E(x13511,x13512)+E(f112(x13513,x13514,x13511,x13515),f112(x13513,x13514,x13512,x13515)) % 199.88/201.02 [1352]~E(x13521,x13522)+E(f112(x13523,x13524,x13525,x13521),f112(x13523,x13524,x13525,x13522)) % 199.88/201.02 [1353]~E(x13531,x13532)+E(f49(x13531,x13533),f49(x13532,x13533)) % 199.88/201.02 [1354]~E(x13541,x13542)+E(f49(x13543,x13541),f49(x13543,x13542)) % 199.88/201.02 [1355]~E(x13551,x13552)+E(f505(x13551,x13553,x13554,x13555,x13556,x13557),f505(x13552,x13553,x13554,x13555,x13556,x13557)) % 199.88/201.02 [1356]~E(x13561,x13562)+E(f505(x13563,x13561,x13564,x13565,x13566,x13567),f505(x13563,x13562,x13564,x13565,x13566,x13567)) % 199.88/201.02 [1357]~E(x13571,x13572)+E(f505(x13573,x13574,x13571,x13575,x13576,x13577),f505(x13573,x13574,x13572,x13575,x13576,x13577)) % 199.88/201.02 [1358]~E(x13581,x13582)+E(f505(x13583,x13584,x13585,x13581,x13586,x13587),f505(x13583,x13584,x13585,x13582,x13586,x13587)) % 199.88/201.02 [1359]~E(x13591,x13592)+E(f505(x13593,x13594,x13595,x13596,x13591,x13597),f505(x13593,x13594,x13595,x13596,x13592,x13597)) % 199.88/201.02 [1360]~E(x13601,x13602)+E(f505(x13603,x13604,x13605,x13606,x13607,x13601),f505(x13603,x13604,x13605,x13606,x13607,x13602)) % 199.88/201.02 [1361]~E(x13611,x13612)+E(f425(x13611,x13613,x13614,x13615,x13616,x13617),f425(x13612,x13613,x13614,x13615,x13616,x13617)) % 199.88/201.02 [1362]~E(x13621,x13622)+E(f425(x13623,x13621,x13624,x13625,x13626,x13627),f425(x13623,x13622,x13624,x13625,x13626,x13627)) % 199.88/201.02 [1363]~E(x13631,x13632)+E(f425(x13633,x13634,x13631,x13635,x13636,x13637),f425(x13633,x13634,x13632,x13635,x13636,x13637)) % 199.88/201.02 [1364]~E(x13641,x13642)+E(f425(x13643,x13644,x13645,x13641,x13646,x13647),f425(x13643,x13644,x13645,x13642,x13646,x13647)) % 199.88/201.02 [1365]~E(x13651,x13652)+E(f425(x13653,x13654,x13655,x13656,x13651,x13657),f425(x13653,x13654,x13655,x13656,x13652,x13657)) % 199.88/201.02 [1366]~E(x13661,x13662)+E(f425(x13663,x13664,x13665,x13666,x13667,x13661),f425(x13663,x13664,x13665,x13666,x13667,x13662)) % 199.88/201.02 [1367]~E(x13671,x13672)+E(f221(x13671,x13673,x13674,x13675),f221(x13672,x13673,x13674,x13675)) % 199.88/201.02 [1368]~E(x13681,x13682)+E(f221(x13683,x13681,x13684,x13685),f221(x13683,x13682,x13684,x13685)) % 199.88/201.02 [1369]~E(x13691,x13692)+E(f221(x13693,x13694,x13691,x13695),f221(x13693,x13694,x13692,x13695)) % 199.88/201.02 [1370]~E(x13701,x13702)+E(f221(x13703,x13704,x13705,x13701),f221(x13703,x13704,x13705,x13702)) % 199.88/201.02 [1371]~E(x13711,x13712)+E(f700(x13711,x13713,x13714,x13715),f700(x13712,x13713,x13714,x13715)) % 199.88/201.02 [1372]~E(x13721,x13722)+E(f700(x13723,x13721,x13724,x13725),f700(x13723,x13722,x13724,x13725)) % 199.88/201.02 [1373]~E(x13731,x13732)+E(f700(x13733,x13734,x13731,x13735),f700(x13733,x13734,x13732,x13735)) % 199.88/201.02 [1374]~E(x13741,x13742)+E(f700(x13743,x13744,x13745,x13741),f700(x13743,x13744,x13745,x13742)) % 199.88/201.02 [1375]~E(x13751,x13752)+E(f335(x13751,x13753,x13754),f335(x13752,x13753,x13754)) % 199.88/201.02 [1376]~E(x13761,x13762)+E(f335(x13763,x13761,x13764),f335(x13763,x13762,x13764)) % 199.88/201.02 [1377]~E(x13771,x13772)+E(f335(x13773,x13774,x13771),f335(x13773,x13774,x13772)) % 199.88/201.02 [1378]~E(x13781,x13782)+E(f286(x13781,x13783,x13784),f286(x13782,x13783,x13784)) % 199.88/201.02 [1379]~E(x13791,x13792)+E(f286(x13793,x13791,x13794),f286(x13793,x13792,x13794)) % 199.88/201.02 [1380]~E(x13801,x13802)+E(f286(x13803,x13804,x13801),f286(x13803,x13804,x13802)) % 199.88/201.02 [1381]~E(x13811,x13812)+E(f793(x13811,x13813,x13814,x13815,x13816,x13817),f793(x13812,x13813,x13814,x13815,x13816,x13817)) % 199.88/201.02 [1382]~E(x13821,x13822)+E(f793(x13823,x13821,x13824,x13825,x13826,x13827),f793(x13823,x13822,x13824,x13825,x13826,x13827)) % 199.88/201.02 [1383]~E(x13831,x13832)+E(f793(x13833,x13834,x13831,x13835,x13836,x13837),f793(x13833,x13834,x13832,x13835,x13836,x13837)) % 199.88/201.02 [1384]~E(x13841,x13842)+E(f793(x13843,x13844,x13845,x13841,x13846,x13847),f793(x13843,x13844,x13845,x13842,x13846,x13847)) % 199.88/201.02 [1385]~E(x13851,x13852)+E(f793(x13853,x13854,x13855,x13856,x13851,x13857),f793(x13853,x13854,x13855,x13856,x13852,x13857)) % 199.88/201.02 [1386]~E(x13861,x13862)+E(f793(x13863,x13864,x13865,x13866,x13867,x13861),f793(x13863,x13864,x13865,x13866,x13867,x13862)) % 199.88/201.02 [1387]~E(x13871,x13872)+E(f682(x13871,x13873,x13874),f682(x13872,x13873,x13874)) % 199.88/201.02 [1388]~E(x13881,x13882)+E(f682(x13883,x13881,x13884),f682(x13883,x13882,x13884)) % 199.88/201.02 [1389]~E(x13891,x13892)+E(f682(x13893,x13894,x13891),f682(x13893,x13894,x13892)) % 199.88/201.02 [1390]~E(x13901,x13902)+E(f186(x13901,x13903,x13904,x13905),f186(x13902,x13903,x13904,x13905)) % 199.88/201.02 [1391]~E(x13911,x13912)+E(f186(x13913,x13911,x13914,x13915),f186(x13913,x13912,x13914,x13915)) % 199.88/201.02 [1392]~E(x13921,x13922)+E(f186(x13923,x13924,x13921,x13925),f186(x13923,x13924,x13922,x13925)) % 199.88/201.02 [1393]~E(x13931,x13932)+E(f186(x13933,x13934,x13935,x13931),f186(x13933,x13934,x13935,x13932)) % 199.88/201.02 [1394]~E(x13941,x13942)+E(f574(x13941,x13943,x13944),f574(x13942,x13943,x13944)) % 199.88/201.02 [1395]~E(x13951,x13952)+E(f574(x13953,x13951,x13954),f574(x13953,x13952,x13954)) % 199.88/201.02 [1396]~E(x13961,x13962)+E(f574(x13963,x13964,x13961),f574(x13963,x13964,x13962)) % 199.88/201.02 [1397]~E(x13971,x13972)+E(f757(x13971,x13973,x13974,x13975),f757(x13972,x13973,x13974,x13975)) % 199.88/201.02 [1398]~E(x13981,x13982)+E(f757(x13983,x13981,x13984,x13985),f757(x13983,x13982,x13984,x13985)) % 199.88/201.02 [1399]~E(x13991,x13992)+E(f757(x13993,x13994,x13991,x13995),f757(x13993,x13994,x13992,x13995)) % 199.88/201.02 [1400]~E(x14001,x14002)+E(f757(x14003,x14004,x14005,x14001),f757(x14003,x14004,x14005,x14002)) % 199.88/201.02 [1401]~E(x14011,x14012)+E(f285(x14011,x14013,x14014),f285(x14012,x14013,x14014)) % 199.88/201.02 [1402]~E(x14021,x14022)+E(f285(x14023,x14021,x14024),f285(x14023,x14022,x14024)) % 199.88/201.02 [1403]~E(x14031,x14032)+E(f285(x14033,x14034,x14031),f285(x14033,x14034,x14032)) % 199.88/201.02 [1404]~E(x14041,x14042)+E(f453(x14041,x14043,x14044),f453(x14042,x14043,x14044)) % 199.88/201.02 [1405]~E(x14051,x14052)+E(f453(x14053,x14051,x14054),f453(x14053,x14052,x14054)) % 199.88/201.02 [1406]~E(x14061,x14062)+E(f453(x14063,x14064,x14061),f453(x14063,x14064,x14062)) % 199.88/201.02 [1407]~E(x14071,x14072)+E(f782(x14071,x14073),f782(x14072,x14073)) % 199.88/201.02 [1408]~E(x14081,x14082)+E(f782(x14083,x14081),f782(x14083,x14082)) % 199.88/201.02 [1409]~E(x14091,x14092)+E(f355(x14091,x14093,x14094,x14095),f355(x14092,x14093,x14094,x14095)) % 199.88/201.02 [1410]~E(x14101,x14102)+E(f355(x14103,x14101,x14104,x14105),f355(x14103,x14102,x14104,x14105)) % 199.88/201.02 [1411]~E(x14111,x14112)+E(f355(x14113,x14114,x14111,x14115),f355(x14113,x14114,x14112,x14115)) % 199.88/201.02 [1412]~E(x14121,x14122)+E(f355(x14123,x14124,x14125,x14121),f355(x14123,x14124,x14125,x14122)) % 199.88/201.02 [1413]~E(x14131,x14132)+E(f585(x14131,x14133,x14134),f585(x14132,x14133,x14134)) % 199.88/201.02 [1414]~E(x14141,x14142)+E(f585(x14143,x14141,x14144),f585(x14143,x14142,x14144)) % 199.88/201.02 [1415]~E(x14151,x14152)+E(f585(x14153,x14154,x14151),f585(x14153,x14154,x14152)) % 199.88/201.02 [1416]~E(x14161,x14162)+E(f860(x14161,x14163,x14164),f860(x14162,x14163,x14164)) % 199.88/201.02 [1417]~E(x14171,x14172)+E(f860(x14173,x14171,x14174),f860(x14173,x14172,x14174)) % 199.88/201.02 [1418]~E(x14181,x14182)+E(f860(x14183,x14184,x14181),f860(x14183,x14184,x14182)) % 199.88/201.02 [1419]~E(x14191,x14192)+E(f387(x14191,x14193,x14194,x14195),f387(x14192,x14193,x14194,x14195)) % 199.88/201.02 [1420]~E(x14201,x14202)+E(f387(x14203,x14201,x14204,x14205),f387(x14203,x14202,x14204,x14205)) % 199.88/201.02 [1421]~E(x14211,x14212)+E(f387(x14213,x14214,x14211,x14215),f387(x14213,x14214,x14212,x14215)) % 199.88/201.02 [1422]~E(x14221,x14222)+E(f387(x14223,x14224,x14225,x14221),f387(x14223,x14224,x14225,x14222)) % 199.88/201.02 [1423]~E(x14231,x14232)+E(f495(x14231,x14233,x14234),f495(x14232,x14233,x14234)) % 199.88/201.02 [1424]~E(x14241,x14242)+E(f495(x14243,x14241,x14244),f495(x14243,x14242,x14244)) % 199.88/201.02 [1425]~E(x14251,x14252)+E(f495(x14253,x14254,x14251),f495(x14253,x14254,x14252)) % 199.88/201.02 [1426]~E(x14261,x14262)+E(f609(x14261,x14263,x14264,x14265,x14266),f609(x14262,x14263,x14264,x14265,x14266)) % 199.88/201.02 [1427]~E(x14271,x14272)+E(f609(x14273,x14271,x14274,x14275,x14276),f609(x14273,x14272,x14274,x14275,x14276)) % 199.88/201.02 [1428]~E(x14281,x14282)+E(f609(x14283,x14284,x14281,x14285,x14286),f609(x14283,x14284,x14282,x14285,x14286)) % 199.88/201.02 [1429]~E(x14291,x14292)+E(f609(x14293,x14294,x14295,x14291,x14296),f609(x14293,x14294,x14295,x14292,x14296)) % 199.88/201.02 [1430]~E(x14301,x14302)+E(f609(x14303,x14304,x14305,x14306,x14301),f609(x14303,x14304,x14305,x14306,x14302)) % 199.88/201.02 [1431]~E(x14311,x14312)+E(f529(x14311,x14313,x14314,x14315),f529(x14312,x14313,x14314,x14315)) % 199.88/201.02 [1432]~E(x14321,x14322)+E(f529(x14323,x14321,x14324,x14325),f529(x14323,x14322,x14324,x14325)) % 199.88/201.02 [1433]~E(x14331,x14332)+E(f529(x14333,x14334,x14331,x14335),f529(x14333,x14334,x14332,x14335)) % 199.88/201.02 [1434]~E(x14341,x14342)+E(f529(x14343,x14344,x14345,x14341),f529(x14343,x14344,x14345,x14342)) % 199.88/201.02 [1435]~E(x14351,x14352)+E(f185(x14351,x14353,x14354,x14355),f185(x14352,x14353,x14354,x14355)) % 199.88/201.02 [1436]~E(x14361,x14362)+E(f185(x14363,x14361,x14364,x14365),f185(x14363,x14362,x14364,x14365)) % 199.88/201.02 [1437]~E(x14371,x14372)+E(f185(x14373,x14374,x14371,x14375),f185(x14373,x14374,x14372,x14375)) % 199.88/201.02 [1438]~E(x14381,x14382)+E(f185(x14383,x14384,x14385,x14381),f185(x14383,x14384,x14385,x14382)) % 199.88/201.02 [1439]~E(x14391,x14392)+E(f652(x14391,x14393),f652(x14392,x14393)) % 199.88/201.02 [1440]~E(x14401,x14402)+E(f652(x14403,x14401),f652(x14403,x14402)) % 199.88/201.02 [1441]~E(x14411,x14412)+E(f697(x14411,x14413,x14414,x14415,x14416),f697(x14412,x14413,x14414,x14415,x14416)) % 199.88/201.02 [1442]~E(x14421,x14422)+E(f697(x14423,x14421,x14424,x14425,x14426),f697(x14423,x14422,x14424,x14425,x14426)) % 199.88/201.02 [1443]~E(x14431,x14432)+E(f697(x14433,x14434,x14431,x14435,x14436),f697(x14433,x14434,x14432,x14435,x14436)) % 199.88/201.02 [1444]~E(x14441,x14442)+E(f697(x14443,x14444,x14445,x14441,x14446),f697(x14443,x14444,x14445,x14442,x14446)) % 199.88/201.02 [1445]~E(x14451,x14452)+E(f697(x14453,x14454,x14455,x14456,x14451),f697(x14453,x14454,x14455,x14456,x14452)) % 199.88/201.02 [1446]~E(x14461,x14462)+E(f630(x14461,x14463,x14464,x14465,x14466),f630(x14462,x14463,x14464,x14465,x14466)) % 199.88/201.02 [1447]~E(x14471,x14472)+E(f630(x14473,x14471,x14474,x14475,x14476),f630(x14473,x14472,x14474,x14475,x14476)) % 199.88/201.02 [1448]~E(x14481,x14482)+E(f630(x14483,x14484,x14481,x14485,x14486),f630(x14483,x14484,x14482,x14485,x14486)) % 199.88/201.02 [1449]~E(x14491,x14492)+E(f630(x14493,x14494,x14495,x14491,x14496),f630(x14493,x14494,x14495,x14492,x14496)) % 199.88/201.02 [1450]~E(x14501,x14502)+E(f630(x14503,x14504,x14505,x14506,x14501),f630(x14503,x14504,x14505,x14506,x14502)) % 199.88/201.02 [1451]~E(x14511,x14512)+E(f452(x14511,x14513),f452(x14512,x14513)) % 199.88/201.02 [1452]~E(x14521,x14522)+E(f452(x14523,x14521),f452(x14523,x14522)) % 199.88/201.02 [1453]~E(x14531,x14532)+E(f799(x14531),f799(x14532)) % 199.88/201.02 [1454]~E(x14541,x14542)+E(f832(x14541,x14543,x14544),f832(x14542,x14543,x14544)) % 199.88/201.02 [1455]~E(x14551,x14552)+E(f832(x14553,x14551,x14554),f832(x14553,x14552,x14554)) % 199.88/201.02 [1456]~E(x14561,x14562)+E(f832(x14563,x14564,x14561),f832(x14563,x14564,x14562)) % 199.88/201.02 [1457]~E(x14571,x14572)+E(f740(x14571,x14573,x14574),f740(x14572,x14573,x14574)) % 199.88/201.02 [1458]~E(x14581,x14582)+E(f740(x14583,x14581,x14584),f740(x14583,x14582,x14584)) % 199.88/201.02 [1459]~E(x14591,x14592)+E(f740(x14593,x14594,x14591),f740(x14593,x14594,x14592)) % 199.88/201.02 [1460]~E(x14601,x14602)+E(f465(x14601,x14603,x14604,x14605),f465(x14602,x14603,x14604,x14605)) % 199.88/201.02 [1461]~E(x14611,x14612)+E(f465(x14613,x14611,x14614,x14615),f465(x14613,x14612,x14614,x14615)) % 199.88/201.02 [1462]~E(x14621,x14622)+E(f465(x14623,x14624,x14621,x14625),f465(x14623,x14624,x14622,x14625)) % 199.88/201.02 [1463]~E(x14631,x14632)+E(f465(x14633,x14634,x14635,x14631),f465(x14633,x14634,x14635,x14632)) % 199.88/201.02 [1464]~E(x14641,x14642)+E(f193(x14641,x14643,x14644),f193(x14642,x14643,x14644)) % 199.88/201.02 [1465]~E(x14651,x14652)+E(f193(x14653,x14651,x14654),f193(x14653,x14652,x14654)) % 199.88/201.02 [1466]~E(x14661,x14662)+E(f193(x14663,x14664,x14661),f193(x14663,x14664,x14662)) % 199.88/201.02 [1467]~E(x14671,x14672)+E(f710(x14671,x14673,x14674,x14675,x14676,x14677,x14678,x14679),f710(x14672,x14673,x14674,x14675,x14676,x14677,x14678,x14679)) % 199.88/201.02 [1468]~E(x14681,x14682)+E(f710(x14683,x14681,x14684,x14685,x14686,x14687,x14688,x14689),f710(x14683,x14682,x14684,x14685,x14686,x14687,x14688,x14689)) % 199.88/201.02 [1469]~E(x14691,x14692)+E(f710(x14693,x14694,x14691,x14695,x14696,x14697,x14698,x14699),f710(x14693,x14694,x14692,x14695,x14696,x14697,x14698,x14699)) % 199.88/201.02 [1470]~E(x14701,x14702)+E(f710(x14703,x14704,x14705,x14701,x14706,x14707,x14708,x14709),f710(x14703,x14704,x14705,x14702,x14706,x14707,x14708,x14709)) % 199.88/201.02 [1471]~E(x14711,x14712)+E(f710(x14713,x14714,x14715,x14716,x14711,x14717,x14718,x14719),f710(x14713,x14714,x14715,x14716,x14712,x14717,x14718,x14719)) % 199.88/201.02 [1472]~E(x14721,x14722)+E(f710(x14723,x14724,x14725,x14726,x14727,x14721,x14728,x14729),f710(x14723,x14724,x14725,x14726,x14727,x14722,x14728,x14729)) % 199.88/201.02 [1473]~E(x14731,x14732)+E(f710(x14733,x14734,x14735,x14736,x14737,x14738,x14731,x14739),f710(x14733,x14734,x14735,x14736,x14737,x14738,x14732,x14739)) % 199.88/201.02 [1474]~E(x14741,x14742)+E(f710(x14743,x14744,x14745,x14746,x14747,x14748,x14749,x14741),f710(x14743,x14744,x14745,x14746,x14747,x14748,x14749,x14742)) % 199.88/201.02 [1475]~E(x14751,x14752)+E(f198(x14751),f198(x14752)) % 199.88/201.02 [1476]~E(x14761,x14762)+E(f332(x14761,x14763),f332(x14762,x14763)) % 199.88/201.02 [1477]~E(x14771,x14772)+E(f332(x14773,x14771),f332(x14773,x14772)) % 199.88/201.02 [1478]~E(x14781,x14782)+E(f792(x14781,x14783,x14784,x14785,x14786,x14787),f792(x14782,x14783,x14784,x14785,x14786,x14787)) % 199.88/201.02 [1479]~E(x14791,x14792)+E(f792(x14793,x14791,x14794,x14795,x14796,x14797),f792(x14793,x14792,x14794,x14795,x14796,x14797)) % 199.88/201.02 [1480]~E(x14801,x14802)+E(f792(x14803,x14804,x14801,x14805,x14806,x14807),f792(x14803,x14804,x14802,x14805,x14806,x14807)) % 199.88/201.02 [1481]~E(x14811,x14812)+E(f792(x14813,x14814,x14815,x14811,x14816,x14817),f792(x14813,x14814,x14815,x14812,x14816,x14817)) % 199.88/201.02 [1482]~E(x14821,x14822)+E(f792(x14823,x14824,x14825,x14826,x14821,x14827),f792(x14823,x14824,x14825,x14826,x14822,x14827)) % 199.88/201.02 [1483]~E(x14831,x14832)+E(f792(x14833,x14834,x14835,x14836,x14837,x14831),f792(x14833,x14834,x14835,x14836,x14837,x14832)) % 199.88/201.02 [1484]~E(x14841,x14842)+E(f337(x14841,x14843,x14844,x14845,x14846),f337(x14842,x14843,x14844,x14845,x14846)) % 199.88/201.02 [1485]~E(x14851,x14852)+E(f337(x14853,x14851,x14854,x14855,x14856),f337(x14853,x14852,x14854,x14855,x14856)) % 199.88/201.02 [1486]~E(x14861,x14862)+E(f337(x14863,x14864,x14861,x14865,x14866),f337(x14863,x14864,x14862,x14865,x14866)) % 199.88/201.02 [1487]~E(x14871,x14872)+E(f337(x14873,x14874,x14875,x14871,x14876),f337(x14873,x14874,x14875,x14872,x14876)) % 199.88/201.02 [1488]~E(x14881,x14882)+E(f337(x14883,x14884,x14885,x14886,x14881),f337(x14883,x14884,x14885,x14886,x14882)) % 199.88/201.02 [1489]~E(x14891,x14892)+E(f156(x14891,x14893,x14894),f156(x14892,x14893,x14894)) % 199.88/201.02 [1490]~E(x14901,x14902)+E(f156(x14903,x14901,x14904),f156(x14903,x14902,x14904)) % 199.88/201.02 [1491]~E(x14911,x14912)+E(f156(x14913,x14914,x14911),f156(x14913,x14914,x14912)) % 199.88/201.02 [1492]~E(x14921,x14922)+E(f564(x14921,x14923,x14924),f564(x14922,x14923,x14924)) % 199.88/201.02 [1493]~E(x14931,x14932)+E(f564(x14933,x14931,x14934),f564(x14933,x14932,x14934)) % 199.88/201.02 [1494]~E(x14941,x14942)+E(f564(x14943,x14944,x14941),f564(x14943,x14944,x14942)) % 199.88/201.02 [1495]~E(x14951,x14952)+E(f370(x14951,x14953,x14954,x14955,x14956,x14957,x14958,x14959),f370(x14952,x14953,x14954,x14955,x14956,x14957,x14958,x14959)) % 199.88/201.02 [1496]~E(x14961,x14962)+E(f370(x14963,x14961,x14964,x14965,x14966,x14967,x14968,x14969),f370(x14963,x14962,x14964,x14965,x14966,x14967,x14968,x14969)) % 199.88/201.02 [1497]~E(x14971,x14972)+E(f370(x14973,x14974,x14971,x14975,x14976,x14977,x14978,x14979),f370(x14973,x14974,x14972,x14975,x14976,x14977,x14978,x14979)) % 199.88/201.02 [1498]~E(x14981,x14982)+E(f370(x14983,x14984,x14985,x14981,x14986,x14987,x14988,x14989),f370(x14983,x14984,x14985,x14982,x14986,x14987,x14988,x14989)) % 199.88/201.02 [1499]~E(x14991,x14992)+E(f370(x14993,x14994,x14995,x14996,x14991,x14997,x14998,x14999),f370(x14993,x14994,x14995,x14996,x14992,x14997,x14998,x14999)) % 199.88/201.02 [1500]~E(x15001,x15002)+E(f370(x15003,x15004,x15005,x15006,x15007,x15001,x15008,x15009),f370(x15003,x15004,x15005,x15006,x15007,x15002,x15008,x15009)) % 199.88/201.02 [1501]~E(x15011,x15012)+E(f370(x15013,x15014,x15015,x15016,x15017,x15018,x15011,x15019),f370(x15013,x15014,x15015,x15016,x15017,x15018,x15012,x15019)) % 199.88/201.02 [1502]~E(x15021,x15022)+E(f370(x15023,x15024,x15025,x15026,x15027,x15028,x15029,x15021),f370(x15023,x15024,x15025,x15026,x15027,x15028,x15029,x15022)) % 199.88/201.02 [1503]~E(x15031,x15032)+E(f376(x15031,x15033),f376(x15032,x15033)) % 199.88/201.02 [1504]~E(x15041,x15042)+E(f376(x15043,x15041),f376(x15043,x15042)) % 199.88/201.02 [1505]~E(x15051,x15052)+E(f664(x15051,x15053,x15054,x15055),f664(x15052,x15053,x15054,x15055)) % 199.88/201.02 [1506]~E(x15061,x15062)+E(f664(x15063,x15061,x15064,x15065),f664(x15063,x15062,x15064,x15065)) % 199.88/201.02 [1507]~E(x15071,x15072)+E(f664(x15073,x15074,x15071,x15075),f664(x15073,x15074,x15072,x15075)) % 199.88/201.02 [1508]~E(x15081,x15082)+E(f664(x15083,x15084,x15085,x15081),f664(x15083,x15084,x15085,x15082)) % 199.88/201.02 [1509]~E(x15091,x15092)+E(f720(x15091,x15093,x15094,x15095,x15096),f720(x15092,x15093,x15094,x15095,x15096)) % 199.88/201.02 [1510]~E(x15101,x15102)+E(f720(x15103,x15101,x15104,x15105,x15106),f720(x15103,x15102,x15104,x15105,x15106)) % 199.88/201.02 [1511]~E(x15111,x15112)+E(f720(x15113,x15114,x15111,x15115,x15116),f720(x15113,x15114,x15112,x15115,x15116)) % 199.88/201.02 [1512]~E(x15121,x15122)+E(f720(x15123,x15124,x15125,x15121,x15126),f720(x15123,x15124,x15125,x15122,x15126)) % 199.88/201.02 [1513]~E(x15131,x15132)+E(f720(x15133,x15134,x15135,x15136,x15131),f720(x15133,x15134,x15135,x15136,x15132)) % 199.88/201.02 [1514]~E(x15141,x15142)+E(f780(x15141,x15143),f780(x15142,x15143)) % 199.88/201.02 [1515]~E(x15151,x15152)+E(f780(x15153,x15151),f780(x15153,x15152)) % 199.88/201.02 [1516]~E(x15161,x15162)+E(f608(x15161,x15163,x15164,x15165,x15166),f608(x15162,x15163,x15164,x15165,x15166)) % 199.88/201.02 [1517]~E(x15171,x15172)+E(f608(x15173,x15171,x15174,x15175,x15176),f608(x15173,x15172,x15174,x15175,x15176)) % 199.88/201.02 [1518]~E(x15181,x15182)+E(f608(x15183,x15184,x15181,x15185,x15186),f608(x15183,x15184,x15182,x15185,x15186)) % 199.88/201.02 [1519]~E(x15191,x15192)+E(f608(x15193,x15194,x15195,x15191,x15196),f608(x15193,x15194,x15195,x15192,x15196)) % 199.88/201.02 [1520]~E(x15201,x15202)+E(f608(x15203,x15204,x15205,x15206,x15201),f608(x15203,x15204,x15205,x15206,x15202)) % 199.88/201.02 [1521]~E(x15211,x15212)+E(f521(x15211,x15213),f521(x15212,x15213)) % 199.88/201.02 [1522]~E(x15221,x15222)+E(f521(x15223,x15221),f521(x15223,x15222)) % 199.88/201.02 [1523]~E(x15231,x15232)+E(f257(x15231),f257(x15232)) % 199.88/201.02 [1524]~E(x15241,x15242)+E(f397(x15241,x15243,x15244,x15245),f397(x15242,x15243,x15244,x15245)) % 199.88/201.02 [1525]~E(x15251,x15252)+E(f397(x15253,x15251,x15254,x15255),f397(x15253,x15252,x15254,x15255)) % 199.88/201.02 [1526]~E(x15261,x15262)+E(f397(x15263,x15264,x15261,x15265),f397(x15263,x15264,x15262,x15265)) % 199.88/201.02 [1527]~E(x15271,x15272)+E(f397(x15273,x15274,x15275,x15271),f397(x15273,x15274,x15275,x15272)) % 199.88/201.02 [1528]~E(x15281,x15282)+E(f82(x15281),f82(x15282)) % 199.88/201.02 [1529]~E(x15291,x15292)+E(f333(x15291,x15293),f333(x15292,x15293)) % 199.88/201.02 [1530]~E(x15301,x15302)+E(f333(x15303,x15301),f333(x15303,x15302)) % 199.88/201.02 [1531]~E(x15311,x15312)+E(f567(x15311,x15313,x15314),f567(x15312,x15313,x15314)) % 199.88/201.02 [1532]~E(x15321,x15322)+E(f567(x15323,x15321,x15324),f567(x15323,x15322,x15324)) % 199.88/201.02 [1533]~E(x15331,x15332)+E(f567(x15333,x15334,x15331),f567(x15333,x15334,x15332)) % 199.88/201.02 [1534]~E(x15341,x15342)+E(f351(x15341,x15343,x15344),f351(x15342,x15343,x15344)) % 199.88/201.02 [1535]~E(x15351,x15352)+E(f351(x15353,x15351,x15354),f351(x15353,x15352,x15354)) % 199.88/201.02 [1536]~E(x15361,x15362)+E(f351(x15363,x15364,x15361),f351(x15363,x15364,x15362)) % 199.88/201.02 [1537]~E(x15371,x15372)+E(f748(x15371,x15373),f748(x15372,x15373)) % 199.88/201.02 [1538]~E(x15381,x15382)+E(f748(x15383,x15381),f748(x15383,x15382)) % 199.88/201.02 [1539]~E(x15391,x15392)+E(f414(x15391,x15393,x15394,x15395),f414(x15392,x15393,x15394,x15395)) % 199.88/201.02 [1540]~E(x15401,x15402)+E(f414(x15403,x15401,x15404,x15405),f414(x15403,x15402,x15404,x15405)) % 199.88/201.02 [1541]~E(x15411,x15412)+E(f414(x15413,x15414,x15411,x15415),f414(x15413,x15414,x15412,x15415)) % 199.88/201.02 [1542]~E(x15421,x15422)+E(f414(x15423,x15424,x15425,x15421),f414(x15423,x15424,x15425,x15422)) % 199.88/201.02 [1543]~E(x15431,x15432)+E(f565(x15431,x15433,x15434),f565(x15432,x15433,x15434)) % 199.88/201.02 [1544]~E(x15441,x15442)+E(f565(x15443,x15441,x15444),f565(x15443,x15442,x15444)) % 199.88/201.02 [1545]~E(x15451,x15452)+E(f565(x15453,x15454,x15451),f565(x15453,x15454,x15452)) % 199.88/201.02 [1546]~E(x15461,x15462)+E(f260(x15461,x15463),f260(x15462,x15463)) % 199.88/201.02 [1547]~E(x15471,x15472)+E(f260(x15473,x15471),f260(x15473,x15472)) % 199.88/201.02 [1548]~E(x15481,x15482)+E(f676(x15481,x15483,x15484,x15485),f676(x15482,x15483,x15484,x15485)) % 199.88/201.02 [1549]~E(x15491,x15492)+E(f676(x15493,x15491,x15494,x15495),f676(x15493,x15492,x15494,x15495)) % 199.88/201.02 [1550]~E(x15501,x15502)+E(f676(x15503,x15504,x15501,x15505),f676(x15503,x15504,x15502,x15505)) % 199.88/201.02 [1551]~E(x15511,x15512)+E(f676(x15513,x15514,x15515,x15511),f676(x15513,x15514,x15515,x15512)) % 199.88/201.02 [1552]~E(x15521,x15522)+E(f605(x15521,x15523,x15524,x15525),f605(x15522,x15523,x15524,x15525)) % 199.88/201.02 [1553]~E(x15531,x15532)+E(f605(x15533,x15531,x15534,x15535),f605(x15533,x15532,x15534,x15535)) % 199.88/201.02 [1554]~E(x15541,x15542)+E(f605(x15543,x15544,x15541,x15545),f605(x15543,x15544,x15542,x15545)) % 199.88/201.02 [1555]~E(x15551,x15552)+E(f605(x15553,x15554,x15555,x15551),f605(x15553,x15554,x15555,x15552)) % 199.88/201.02 [1556]~E(x15561,x15562)+E(f623(x15561,x15563,x15564,x15565),f623(x15562,x15563,x15564,x15565)) % 199.88/201.02 [1557]~E(x15571,x15572)+E(f623(x15573,x15571,x15574,x15575),f623(x15573,x15572,x15574,x15575)) % 199.88/201.02 [1558]~E(x15581,x15582)+E(f623(x15583,x15584,x15581,x15585),f623(x15583,x15584,x15582,x15585)) % 199.88/201.02 [1559]~E(x15591,x15592)+E(f623(x15593,x15594,x15595,x15591),f623(x15593,x15594,x15595,x15592)) % 199.88/201.02 [1560]~E(x15601,x15602)+E(f206(x15601,x15603),f206(x15602,x15603)) % 199.88/201.02 [1561]~E(x15611,x15612)+E(f206(x15613,x15611),f206(x15613,x15612)) % 199.88/201.02 [1562]~E(x15621,x15622)+E(f237(x15621,x15623,x15624),f237(x15622,x15623,x15624)) % 199.88/201.02 [1563]~E(x15631,x15632)+E(f237(x15633,x15631,x15634),f237(x15633,x15632,x15634)) % 199.88/201.02 [1564]~E(x15641,x15642)+E(f237(x15643,x15644,x15641),f237(x15643,x15644,x15642)) % 199.88/201.02 [1565]~E(x15651,x15652)+E(f549(x15651,x15653,x15654),f549(x15652,x15653,x15654)) % 199.88/201.02 [1566]~E(x15661,x15662)+E(f549(x15663,x15661,x15664),f549(x15663,x15662,x15664)) % 199.88/201.02 [1567]~E(x15671,x15672)+E(f549(x15673,x15674,x15671),f549(x15673,x15674,x15672)) % 199.88/201.02 [1568]~E(x15681,x15682)+E(f125(x15681),f125(x15682)) % 199.88/201.02 [1569]~E(x15691,x15692)+E(f199(x15691,x15693,x15694,x15695),f199(x15692,x15693,x15694,x15695)) % 199.88/201.02 [1570]~E(x15701,x15702)+E(f199(x15703,x15701,x15704,x15705),f199(x15703,x15702,x15704,x15705)) % 199.88/201.02 [1571]~E(x15711,x15712)+E(f199(x15713,x15714,x15711,x15715),f199(x15713,x15714,x15712,x15715)) % 199.88/201.02 [1572]~E(x15721,x15722)+E(f199(x15723,x15724,x15725,x15721),f199(x15723,x15724,x15725,x15722)) % 199.88/201.02 [1573]~E(x15731,x15732)+E(f878(x15731,x15733,x15734),f878(x15732,x15733,x15734)) % 199.88/201.02 [1574]~E(x15741,x15742)+E(f878(x15743,x15741,x15744),f878(x15743,x15742,x15744)) % 199.88/201.02 [1575]~E(x15751,x15752)+E(f878(x15753,x15754,x15751),f878(x15753,x15754,x15752)) % 199.88/201.02 [1576]~E(x15761,x15762)+E(f235(x15761,x15763,x15764),f235(x15762,x15763,x15764)) % 199.88/201.02 [1577]~E(x15771,x15772)+E(f235(x15773,x15771,x15774),f235(x15773,x15772,x15774)) % 199.88/201.02 [1578]~E(x15781,x15782)+E(f235(x15783,x15784,x15781),f235(x15783,x15784,x15782)) % 199.88/201.02 [1579]~E(x15791,x15792)+E(f813(x15791,x15793,x15794,x15795,x15796,x15797),f813(x15792,x15793,x15794,x15795,x15796,x15797)) % 199.88/201.02 [1580]~E(x15801,x15802)+E(f813(x15803,x15801,x15804,x15805,x15806,x15807),f813(x15803,x15802,x15804,x15805,x15806,x15807)) % 199.88/201.02 [1581]~E(x15811,x15812)+E(f813(x15813,x15814,x15811,x15815,x15816,x15817),f813(x15813,x15814,x15812,x15815,x15816,x15817)) % 199.88/201.02 [1582]~E(x15821,x15822)+E(f813(x15823,x15824,x15825,x15821,x15826,x15827),f813(x15823,x15824,x15825,x15822,x15826,x15827)) % 199.88/201.02 [1583]~E(x15831,x15832)+E(f813(x15833,x15834,x15835,x15836,x15831,x15837),f813(x15833,x15834,x15835,x15836,x15832,x15837)) % 199.88/201.02 [1584]~E(x15841,x15842)+E(f813(x15843,x15844,x15845,x15846,x15847,x15841),f813(x15843,x15844,x15845,x15846,x15847,x15842)) % 199.88/201.02 [1585]~E(x15851,x15852)+E(f566(x15851,x15853,x15854,x15855,x15856,x15857),f566(x15852,x15853,x15854,x15855,x15856,x15857)) % 199.88/201.02 [1586]~E(x15861,x15862)+E(f566(x15863,x15861,x15864,x15865,x15866,x15867),f566(x15863,x15862,x15864,x15865,x15866,x15867)) % 199.88/201.02 [1587]~E(x15871,x15872)+E(f566(x15873,x15874,x15871,x15875,x15876,x15877),f566(x15873,x15874,x15872,x15875,x15876,x15877)) % 199.88/201.02 [1588]~E(x15881,x15882)+E(f566(x15883,x15884,x15885,x15881,x15886,x15887),f566(x15883,x15884,x15885,x15882,x15886,x15887)) % 199.88/201.02 [1589]~E(x15891,x15892)+E(f566(x15893,x15894,x15895,x15896,x15891,x15897),f566(x15893,x15894,x15895,x15896,x15892,x15897)) % 199.88/201.02 [1590]~E(x15901,x15902)+E(f566(x15903,x15904,x15905,x15906,x15907,x15901),f566(x15903,x15904,x15905,x15906,x15907,x15902)) % 199.88/201.02 [1591]~E(x15911,x15912)+E(f512(x15911,x15913,x15914,x15915,x15916,x15917,x15918,x15919),f512(x15912,x15913,x15914,x15915,x15916,x15917,x15918,x15919)) % 199.88/201.02 [1592]~E(x15921,x15922)+E(f512(x15923,x15921,x15924,x15925,x15926,x15927,x15928,x15929),f512(x15923,x15922,x15924,x15925,x15926,x15927,x15928,x15929)) % 199.88/201.02 [1593]~E(x15931,x15932)+E(f512(x15933,x15934,x15931,x15935,x15936,x15937,x15938,x15939),f512(x15933,x15934,x15932,x15935,x15936,x15937,x15938,x15939)) % 199.88/201.02 [1594]~E(x15941,x15942)+E(f512(x15943,x15944,x15945,x15941,x15946,x15947,x15948,x15949),f512(x15943,x15944,x15945,x15942,x15946,x15947,x15948,x15949)) % 199.88/201.02 [1595]~E(x15951,x15952)+E(f512(x15953,x15954,x15955,x15956,x15951,x15957,x15958,x15959),f512(x15953,x15954,x15955,x15956,x15952,x15957,x15958,x15959)) % 199.88/201.02 [1596]~E(x15961,x15962)+E(f512(x15963,x15964,x15965,x15966,x15967,x15961,x15968,x15969),f512(x15963,x15964,x15965,x15966,x15967,x15962,x15968,x15969)) % 199.88/201.02 [1597]~E(x15971,x15972)+E(f512(x15973,x15974,x15975,x15976,x15977,x15978,x15971,x15979),f512(x15973,x15974,x15975,x15976,x15977,x15978,x15972,x15979)) % 199.88/201.02 [1598]~E(x15981,x15982)+E(f512(x15983,x15984,x15985,x15986,x15987,x15988,x15989,x15981),f512(x15983,x15984,x15985,x15986,x15987,x15988,x15989,x15982)) % 199.88/201.02 [1599]~E(x15991,x15992)+E(f618(x15991,x15993,x15994,x15995,x15996,x15997),f618(x15992,x15993,x15994,x15995,x15996,x15997)) % 199.88/201.02 [1600]~E(x16001,x16002)+E(f618(x16003,x16001,x16004,x16005,x16006,x16007),f618(x16003,x16002,x16004,x16005,x16006,x16007)) % 199.88/201.02 [1601]~E(x16011,x16012)+E(f618(x16013,x16014,x16011,x16015,x16016,x16017),f618(x16013,x16014,x16012,x16015,x16016,x16017)) % 199.88/201.02 [1602]~E(x16021,x16022)+E(f618(x16023,x16024,x16025,x16021,x16026,x16027),f618(x16023,x16024,x16025,x16022,x16026,x16027)) % 199.88/201.02 [1603]~E(x16031,x16032)+E(f618(x16033,x16034,x16035,x16036,x16031,x16037),f618(x16033,x16034,x16035,x16036,x16032,x16037)) % 199.88/201.02 [1604]~E(x16041,x16042)+E(f618(x16043,x16044,x16045,x16046,x16047,x16041),f618(x16043,x16044,x16045,x16046,x16047,x16042)) % 199.88/201.02 [1605]~E(x16051,x16052)+E(f503(x16051,x16053,x16054,x16055),f503(x16052,x16053,x16054,x16055)) % 199.88/201.02 [1606]~E(x16061,x16062)+E(f503(x16063,x16061,x16064,x16065),f503(x16063,x16062,x16064,x16065)) % 199.88/201.02 [1607]~E(x16071,x16072)+E(f503(x16073,x16074,x16071,x16075),f503(x16073,x16074,x16072,x16075)) % 199.88/201.02 [1608]~E(x16081,x16082)+E(f503(x16083,x16084,x16085,x16081),f503(x16083,x16084,x16085,x16082)) % 199.88/201.02 [1609]~E(x16091,x16092)+E(f488(x16091,x16093,x16094),f488(x16092,x16093,x16094)) % 199.88/201.02 [1610]~E(x16101,x16102)+E(f488(x16103,x16101,x16104),f488(x16103,x16102,x16104)) % 199.88/201.02 [1611]~E(x16111,x16112)+E(f488(x16113,x16114,x16111),f488(x16113,x16114,x16112)) % 199.88/201.02 [1612]~E(x16121,x16122)+E(f434(x16121,x16123),f434(x16122,x16123)) % 199.88/201.02 [1613]~E(x16131,x16132)+E(f434(x16133,x16131),f434(x16133,x16132)) % 199.88/201.02 [1614]~E(x16141,x16142)+E(f447(x16141,x16143,x16144,x16145),f447(x16142,x16143,x16144,x16145)) % 199.88/201.02 [1615]~E(x16151,x16152)+E(f447(x16153,x16151,x16154,x16155),f447(x16153,x16152,x16154,x16155)) % 199.88/201.02 [1616]~E(x16161,x16162)+E(f447(x16163,x16164,x16161,x16165),f447(x16163,x16164,x16162,x16165)) % 199.88/201.02 [1617]~E(x16171,x16172)+E(f447(x16173,x16174,x16175,x16171),f447(x16173,x16174,x16175,x16172)) % 199.88/201.02 [1618]~E(x16181,x16182)+E(f496(x16181,x16183,x16184),f496(x16182,x16183,x16184)) % 199.88/201.02 [1619]~E(x16191,x16192)+E(f496(x16193,x16191,x16194),f496(x16193,x16192,x16194)) % 199.88/201.02 [1620]~E(x16201,x16202)+E(f496(x16203,x16204,x16201),f496(x16203,x16204,x16202)) % 199.88/201.02 [1621]~E(x16211,x16212)+E(f644(x16211,x16213),f644(x16212,x16213)) % 199.88/201.02 [1622]~E(x16221,x16222)+E(f644(x16223,x16221),f644(x16223,x16222)) % 199.88/201.02 [1623]~E(x16231,x16232)+E(f640(x16231,x16233,x16234),f640(x16232,x16233,x16234)) % 199.88/201.02 [1624]~E(x16241,x16242)+E(f640(x16243,x16241,x16244),f640(x16243,x16242,x16244)) % 199.88/201.02 [1625]~E(x16251,x16252)+E(f640(x16253,x16254,x16251),f640(x16253,x16254,x16252)) % 199.88/201.02 [1626]~E(x16261,x16262)+E(f826(x16261,x16263,x16264,x16265,x16266,x16267,x16268,x16269),f826(x16262,x16263,x16264,x16265,x16266,x16267,x16268,x16269)) % 199.88/201.02 [1627]~E(x16271,x16272)+E(f826(x16273,x16271,x16274,x16275,x16276,x16277,x16278,x16279),f826(x16273,x16272,x16274,x16275,x16276,x16277,x16278,x16279)) % 199.88/201.02 [1628]~E(x16281,x16282)+E(f826(x16283,x16284,x16281,x16285,x16286,x16287,x16288,x16289),f826(x16283,x16284,x16282,x16285,x16286,x16287,x16288,x16289)) % 199.88/201.02 [1629]~E(x16291,x16292)+E(f826(x16293,x16294,x16295,x16291,x16296,x16297,x16298,x16299),f826(x16293,x16294,x16295,x16292,x16296,x16297,x16298,x16299)) % 199.88/201.02 [1630]~E(x16301,x16302)+E(f826(x16303,x16304,x16305,x16306,x16301,x16307,x16308,x16309),f826(x16303,x16304,x16305,x16306,x16302,x16307,x16308,x16309)) % 199.88/201.02 [1631]~E(x16311,x16312)+E(f826(x16313,x16314,x16315,x16316,x16317,x16311,x16318,x16319),f826(x16313,x16314,x16315,x16316,x16317,x16312,x16318,x16319)) % 199.88/201.02 [1632]~E(x16321,x16322)+E(f826(x16323,x16324,x16325,x16326,x16327,x16328,x16321,x16329),f826(x16323,x16324,x16325,x16326,x16327,x16328,x16322,x16329)) % 199.88/201.02 [1633]~E(x16331,x16332)+E(f826(x16333,x16334,x16335,x16336,x16337,x16338,x16339,x16331),f826(x16333,x16334,x16335,x16336,x16337,x16338,x16339,x16332)) % 199.88/201.02 [1634]~E(x16341,x16342)+E(f441(x16341,x16343,x16344,x16345,x16346),f441(x16342,x16343,x16344,x16345,x16346)) % 199.88/201.02 [1635]~E(x16351,x16352)+E(f441(x16353,x16351,x16354,x16355,x16356),f441(x16353,x16352,x16354,x16355,x16356)) % 199.88/201.02 [1636]~E(x16361,x16362)+E(f441(x16363,x16364,x16361,x16365,x16366),f441(x16363,x16364,x16362,x16365,x16366)) % 199.88/201.02 [1637]~E(x16371,x16372)+E(f441(x16373,x16374,x16375,x16371,x16376),f441(x16373,x16374,x16375,x16372,x16376)) % 199.88/201.02 [1638]~E(x16381,x16382)+E(f441(x16383,x16384,x16385,x16386,x16381),f441(x16383,x16384,x16385,x16386,x16382)) % 199.88/201.02 [1639]~E(x16391,x16392)+E(f415(x16391,x16393,x16394),f415(x16392,x16393,x16394)) % 199.88/201.02 [1640]~E(x16401,x16402)+E(f415(x16403,x16401,x16404),f415(x16403,x16402,x16404)) % 199.88/201.02 [1641]~E(x16411,x16412)+E(f415(x16413,x16414,x16411),f415(x16413,x16414,x16412)) % 199.88/201.02 [1642]~E(x16421,x16422)+E(f688(x16421,x16423,x16424),f688(x16422,x16423,x16424)) % 199.88/201.02 [1643]~E(x16431,x16432)+E(f688(x16433,x16431,x16434),f688(x16433,x16432,x16434)) % 199.88/201.02 [1644]~E(x16441,x16442)+E(f688(x16443,x16444,x16441),f688(x16443,x16444,x16442)) % 199.88/201.02 [1645]~E(x16451,x16452)+E(f164(x16451,x16453,x16454),f164(x16452,x16453,x16454)) % 199.88/201.02 [1646]~E(x16461,x16462)+E(f164(x16463,x16461,x16464),f164(x16463,x16462,x16464)) % 199.88/201.02 [1647]~E(x16471,x16472)+E(f164(x16473,x16474,x16471),f164(x16473,x16474,x16472)) % 199.88/201.02 [1648]~E(x16481,x16482)+E(f620(x16481,x16483,x16484,x16485,x16486,x16487),f620(x16482,x16483,x16484,x16485,x16486,x16487)) % 199.88/201.02 [1649]~E(x16491,x16492)+E(f620(x16493,x16491,x16494,x16495,x16496,x16497),f620(x16493,x16492,x16494,x16495,x16496,x16497)) % 199.88/201.02 [1650]~E(x16501,x16502)+E(f620(x16503,x16504,x16501,x16505,x16506,x16507),f620(x16503,x16504,x16502,x16505,x16506,x16507)) % 199.88/201.02 [1651]~E(x16511,x16512)+E(f620(x16513,x16514,x16515,x16511,x16516,x16517),f620(x16513,x16514,x16515,x16512,x16516,x16517)) % 199.88/201.02 [1652]~E(x16521,x16522)+E(f620(x16523,x16524,x16525,x16526,x16521,x16527),f620(x16523,x16524,x16525,x16526,x16522,x16527)) % 199.88/201.02 [1653]~E(x16531,x16532)+E(f620(x16533,x16534,x16535,x16536,x16537,x16531),f620(x16533,x16534,x16535,x16536,x16537,x16532)) % 199.88/201.02 [1654]~E(x16541,x16542)+E(f661(x16541,x16543,x16544,x16545,x16546),f661(x16542,x16543,x16544,x16545,x16546)) % 199.88/201.02 [1655]~E(x16551,x16552)+E(f661(x16553,x16551,x16554,x16555,x16556),f661(x16553,x16552,x16554,x16555,x16556)) % 199.88/201.02 [1656]~E(x16561,x16562)+E(f661(x16563,x16564,x16561,x16565,x16566),f661(x16563,x16564,x16562,x16565,x16566)) % 199.88/201.02 [1657]~E(x16571,x16572)+E(f661(x16573,x16574,x16575,x16571,x16576),f661(x16573,x16574,x16575,x16572,x16576)) % 199.88/201.02 [1658]~E(x16581,x16582)+E(f661(x16583,x16584,x16585,x16586,x16581),f661(x16583,x16584,x16585,x16586,x16582)) % 199.88/201.02 [1659]~E(x16591,x16592)+E(f481(x16591,x16593,x16594),f481(x16592,x16593,x16594)) % 199.88/201.02 [1660]~E(x16601,x16602)+E(f481(x16603,x16601,x16604),f481(x16603,x16602,x16604)) % 199.88/201.02 [1661]~E(x16611,x16612)+E(f481(x16613,x16614,x16611),f481(x16613,x16614,x16612)) % 199.88/201.02 [1662]~E(x16621,x16622)+E(f383(x16621,x16623,x16624,x16625),f383(x16622,x16623,x16624,x16625)) % 199.88/201.02 [1663]~E(x16631,x16632)+E(f383(x16633,x16631,x16634,x16635),f383(x16633,x16632,x16634,x16635)) % 199.88/201.02 [1664]~E(x16641,x16642)+E(f383(x16643,x16644,x16641,x16645),f383(x16643,x16644,x16642,x16645)) % 199.88/201.02 [1665]~E(x16651,x16652)+E(f383(x16653,x16654,x16655,x16651),f383(x16653,x16654,x16655,x16652)) % 199.88/201.02 [1666]~E(x16661,x16662)+E(f321(x16661,x16663,x16664,x16665),f321(x16662,x16663,x16664,x16665)) % 199.88/201.02 [1667]~E(x16671,x16672)+E(f321(x16673,x16671,x16674,x16675),f321(x16673,x16672,x16674,x16675)) % 199.88/201.02 [1668]~E(x16681,x16682)+E(f321(x16683,x16684,x16681,x16685),f321(x16683,x16684,x16682,x16685)) % 199.88/201.02 [1669]~E(x16691,x16692)+E(f321(x16693,x16694,x16695,x16691),f321(x16693,x16694,x16695,x16692)) % 199.88/201.02 [1670]~E(x16701,x16702)+E(f170(x16701),f170(x16702)) % 199.88/201.02 [1671]~E(x16711,x16712)+E(f712(x16711,x16713),f712(x16712,x16713)) % 199.88/201.02 [1672]~E(x16721,x16722)+E(f712(x16723,x16721),f712(x16723,x16722)) % 199.88/201.02 [1673]~E(x16731,x16732)+E(f410(x16731,x16733,x16734,x16735),f410(x16732,x16733,x16734,x16735)) % 199.88/201.02 [1674]~E(x16741,x16742)+E(f410(x16743,x16741,x16744,x16745),f410(x16743,x16742,x16744,x16745)) % 199.88/201.02 [1675]~E(x16751,x16752)+E(f410(x16753,x16754,x16751,x16755),f410(x16753,x16754,x16752,x16755)) % 199.88/201.02 [1676]~E(x16761,x16762)+E(f410(x16763,x16764,x16765,x16761),f410(x16763,x16764,x16765,x16762)) % 199.88/201.02 [1677]~E(x16771,x16772)+E(f245(x16771,x16773,x16774,x16775),f245(x16772,x16773,x16774,x16775)) % 199.88/201.02 [1678]~E(x16781,x16782)+E(f245(x16783,x16781,x16784,x16785),f245(x16783,x16782,x16784,x16785)) % 199.88/201.02 [1679]~E(x16791,x16792)+E(f245(x16793,x16794,x16791,x16795),f245(x16793,x16794,x16792,x16795)) % 199.88/201.02 [1680]~E(x16801,x16802)+E(f245(x16803,x16804,x16805,x16801),f245(x16803,x16804,x16805,x16802)) % 199.88/201.02 [1681]~E(x16811,x16812)+E(f120(x16811,x16813,x16814,x16815),f120(x16812,x16813,x16814,x16815)) % 199.88/201.02 [1682]~E(x16821,x16822)+E(f120(x16823,x16821,x16824,x16825),f120(x16823,x16822,x16824,x16825)) % 199.88/201.02 [1683]~E(x16831,x16832)+E(f120(x16833,x16834,x16831,x16835),f120(x16833,x16834,x16832,x16835)) % 199.88/201.02 [1684]~E(x16841,x16842)+E(f120(x16843,x16844,x16845,x16841),f120(x16843,x16844,x16845,x16842)) % 199.88/201.02 [1685]~E(x16851,x16852)+E(f604(x16851,x16853),f604(x16852,x16853)) % 199.88/201.02 [1686]~E(x16861,x16862)+E(f604(x16863,x16861),f604(x16863,x16862)) % 199.88/201.02 [1687]~E(x16871,x16872)+E(f580(x16871,x16873,x16874,x16875,x16876,x16877,x16878),f580(x16872,x16873,x16874,x16875,x16876,x16877,x16878)) % 199.88/201.02 [1688]~E(x16881,x16882)+E(f580(x16883,x16881,x16884,x16885,x16886,x16887,x16888),f580(x16883,x16882,x16884,x16885,x16886,x16887,x16888)) % 199.88/201.02 [1689]~E(x16891,x16892)+E(f580(x16893,x16894,x16891,x16895,x16896,x16897,x16898),f580(x16893,x16894,x16892,x16895,x16896,x16897,x16898)) % 199.88/201.02 [1690]~E(x16901,x16902)+E(f580(x16903,x16904,x16905,x16901,x16906,x16907,x16908),f580(x16903,x16904,x16905,x16902,x16906,x16907,x16908)) % 199.88/201.02 [1691]~E(x16911,x16912)+E(f580(x16913,x16914,x16915,x16916,x16911,x16917,x16918),f580(x16913,x16914,x16915,x16916,x16912,x16917,x16918)) % 199.88/201.02 [1692]~E(x16921,x16922)+E(f580(x16923,x16924,x16925,x16926,x16927,x16921,x16928),f580(x16923,x16924,x16925,x16926,x16927,x16922,x16928)) % 199.88/201.02 [1693]~E(x16931,x16932)+E(f580(x16933,x16934,x16935,x16936,x16937,x16938,x16931),f580(x16933,x16934,x16935,x16936,x16937,x16938,x16932)) % 199.88/201.02 [1694]~E(x16941,x16942)+E(f359(x16941,x16943,x16944,x16945,x16946),f359(x16942,x16943,x16944,x16945,x16946)) % 199.88/201.02 [1695]~E(x16951,x16952)+E(f359(x16953,x16951,x16954,x16955,x16956),f359(x16953,x16952,x16954,x16955,x16956)) % 199.88/201.02 [1696]~E(x16961,x16962)+E(f359(x16963,x16964,x16961,x16965,x16966),f359(x16963,x16964,x16962,x16965,x16966)) % 199.88/201.02 [1697]~E(x16971,x16972)+E(f359(x16973,x16974,x16975,x16971,x16976),f359(x16973,x16974,x16975,x16972,x16976)) % 199.88/201.02 [1698]~E(x16981,x16982)+E(f359(x16983,x16984,x16985,x16986,x16981),f359(x16983,x16984,x16985,x16986,x16982)) % 199.88/201.02 [1699]~E(x16991,x16992)+E(f830(x16991,x16993,x16994,x16995,x16996,x16997),f830(x16992,x16993,x16994,x16995,x16996,x16997)) % 199.88/201.02 [1700]~E(x17001,x17002)+E(f830(x17003,x17001,x17004,x17005,x17006,x17007),f830(x17003,x17002,x17004,x17005,x17006,x17007)) % 199.88/201.02 [1701]~E(x17011,x17012)+E(f830(x17013,x17014,x17011,x17015,x17016,x17017),f830(x17013,x17014,x17012,x17015,x17016,x17017)) % 199.88/201.02 [1702]~E(x17021,x17022)+E(f830(x17023,x17024,x17025,x17021,x17026,x17027),f830(x17023,x17024,x17025,x17022,x17026,x17027)) % 199.88/201.02 [1703]~E(x17031,x17032)+E(f830(x17033,x17034,x17035,x17036,x17031,x17037),f830(x17033,x17034,x17035,x17036,x17032,x17037)) % 199.88/201.02 [1704]~E(x17041,x17042)+E(f830(x17043,x17044,x17045,x17046,x17047,x17041),f830(x17043,x17044,x17045,x17046,x17047,x17042)) % 199.88/201.02 [1705]~E(x17051,x17052)+E(f533(x17051,x17053),f533(x17052,x17053)) % 199.88/201.02 [1706]~E(x17061,x17062)+E(f533(x17063,x17061),f533(x17063,x17062)) % 199.88/201.02 [1707]~E(x17071,x17072)+E(f621(x17071,x17073),f621(x17072,x17073)) % 199.88/201.02 [1708]~E(x17081,x17082)+E(f621(x17083,x17081),f621(x17083,x17082)) % 199.88/201.02 [1709]~E(x17091,x17092)+E(f311(x17091,x17093,x17094),f311(x17092,x17093,x17094)) % 199.88/201.02 [1710]~E(x17101,x17102)+E(f311(x17103,x17101,x17104),f311(x17103,x17102,x17104)) % 199.88/201.02 [1711]~E(x17111,x17112)+E(f311(x17113,x17114,x17111),f311(x17113,x17114,x17112)) % 199.88/201.02 [1712]~E(x17121,x17122)+E(f558(x17121,x17123,x17124,x17125),f558(x17122,x17123,x17124,x17125)) % 199.88/201.02 [1713]~E(x17131,x17132)+E(f558(x17133,x17131,x17134,x17135),f558(x17133,x17132,x17134,x17135)) % 199.88/201.02 [1714]~E(x17141,x17142)+E(f558(x17143,x17144,x17141,x17145),f558(x17143,x17144,x17142,x17145)) % 199.88/201.02 [1715]~E(x17151,x17152)+E(f558(x17153,x17154,x17155,x17151),f558(x17153,x17154,x17155,x17152)) % 199.88/201.02 [1716]~E(x17161,x17162)+E(f801(x17161,x17163),f801(x17162,x17163)) % 199.88/201.02 [1717]~E(x17171,x17172)+E(f801(x17173,x17171),f801(x17173,x17172)) % 199.88/201.02 [1718]~E(x17181,x17182)+E(f800(x17181,x17183,x17184),f800(x17182,x17183,x17184)) % 199.88/201.02 [1719]~E(x17191,x17192)+E(f800(x17193,x17191,x17194),f800(x17193,x17192,x17194)) % 199.88/201.02 [1720]~E(x17201,x17202)+E(f800(x17203,x17204,x17201),f800(x17203,x17204,x17202)) % 199.88/201.02 [1721]~E(x17211,x17212)+E(f633(x17211,x17213,x17214),f633(x17212,x17213,x17214)) % 199.88/201.02 [1722]~E(x17221,x17222)+E(f633(x17223,x17221,x17224),f633(x17223,x17222,x17224)) % 199.88/201.02 [1723]~E(x17231,x17232)+E(f633(x17233,x17234,x17231),f633(x17233,x17234,x17232)) % 199.88/201.02 [1724]~E(x17241,x17242)+E(f489(x17241,x17243),f489(x17242,x17243)) % 199.88/201.02 [1725]~E(x17251,x17252)+E(f489(x17253,x17251),f489(x17253,x17252)) % 199.88/201.02 [1726]~E(x17261,x17262)+E(f494(x17261,x17263,x17264),f494(x17262,x17263,x17264)) % 199.88/201.02 [1727]~E(x17271,x17272)+E(f494(x17273,x17271,x17274),f494(x17273,x17272,x17274)) % 199.88/201.02 [1728]~E(x17281,x17282)+E(f494(x17283,x17284,x17281),f494(x17283,x17284,x17282)) % 199.88/201.02 [1729]~E(x17291,x17292)+E(f485(x17291,x17293,x17294),f485(x17292,x17293,x17294)) % 199.88/201.02 [1730]~E(x17301,x17302)+E(f485(x17303,x17301,x17304),f485(x17303,x17302,x17304)) % 199.88/201.02 [1731]~E(x17311,x17312)+E(f485(x17313,x17314,x17311),f485(x17313,x17314,x17312)) % 199.88/201.02 [1732]~E(x17321,x17322)+E(f590(x17321,x17323),f590(x17322,x17323)) % 199.88/201.02 [1733]~E(x17331,x17332)+E(f590(x17333,x17331),f590(x17333,x17332)) % 199.88/201.02 [1734]~E(x17341,x17342)+E(f828(x17341,x17343,x17344,x17345,x17346,x17347),f828(x17342,x17343,x17344,x17345,x17346,x17347)) % 199.88/201.02 [1735]~E(x17351,x17352)+E(f828(x17353,x17351,x17354,x17355,x17356,x17357),f828(x17353,x17352,x17354,x17355,x17356,x17357)) % 199.88/201.02 [1736]~E(x17361,x17362)+E(f828(x17363,x17364,x17361,x17365,x17366,x17367),f828(x17363,x17364,x17362,x17365,x17366,x17367)) % 199.88/201.02 [1737]~E(x17371,x17372)+E(f828(x17373,x17374,x17375,x17371,x17376,x17377),f828(x17373,x17374,x17375,x17372,x17376,x17377)) % 199.88/201.02 [1738]~E(x17381,x17382)+E(f828(x17383,x17384,x17385,x17386,x17381,x17387),f828(x17383,x17384,x17385,x17386,x17382,x17387)) % 199.88/201.02 [1739]~E(x17391,x17392)+E(f828(x17393,x17394,x17395,x17396,x17397,x17391),f828(x17393,x17394,x17395,x17396,x17397,x17392)) % 199.88/201.02 [1740]~E(x17401,x17402)+E(f874(x17401,x17403),f874(x17402,x17403)) % 199.88/201.02 [1741]~E(x17411,x17412)+E(f874(x17413,x17411),f874(x17413,x17412)) % 199.88/201.02 [1742]~E(x17421,x17422)+E(f626(x17421,x17423,x17424),f626(x17422,x17423,x17424)) % 199.88/201.02 [1743]~E(x17431,x17432)+E(f626(x17433,x17431,x17434),f626(x17433,x17432,x17434)) % 199.88/201.02 [1744]~E(x17441,x17442)+E(f626(x17443,x17444,x17441),f626(x17443,x17444,x17442)) % 199.88/201.02 [1745]~E(x17451,x17452)+E(f831(x17451,x17453,x17454),f831(x17452,x17453,x17454)) % 199.88/201.02 [1746]~E(x17461,x17462)+E(f831(x17463,x17461,x17464),f831(x17463,x17462,x17464)) % 199.88/201.02 [1747]~E(x17471,x17472)+E(f831(x17473,x17474,x17471),f831(x17473,x17474,x17472)) % 199.88/201.02 [1748]~E(x17481,x17482)+E(f881(x17481,x17483),f881(x17482,x17483)) % 199.88/201.02 [1749]~E(x17491,x17492)+E(f881(x17493,x17491),f881(x17493,x17492)) % 199.88/201.02 [1750]~E(x17501,x17502)+E(f750(x17501,x17503,x17504),f750(x17502,x17503,x17504)) % 199.88/201.02 [1751]~E(x17511,x17512)+E(f750(x17513,x17511,x17514),f750(x17513,x17512,x17514)) % 199.88/201.02 [1752]~E(x17521,x17522)+E(f750(x17523,x17524,x17521),f750(x17523,x17524,x17522)) % 199.88/201.02 [1753]~E(x17531,x17532)+E(f514(x17531,x17533,x17534),f514(x17532,x17533,x17534)) % 199.88/201.02 [1754]~E(x17541,x17542)+E(f514(x17543,x17541,x17544),f514(x17543,x17542,x17544)) % 199.88/201.02 [1755]~E(x17551,x17552)+E(f514(x17553,x17554,x17551),f514(x17553,x17554,x17552)) % 199.88/201.02 [1756]~E(x17561,x17562)+E(f634(x17561,x17563,x17564,x17565),f634(x17562,x17563,x17564,x17565)) % 199.88/201.02 [1757]~E(x17571,x17572)+E(f634(x17573,x17571,x17574,x17575),f634(x17573,x17572,x17574,x17575)) % 199.88/201.02 [1758]~E(x17581,x17582)+E(f634(x17583,x17584,x17581,x17585),f634(x17583,x17584,x17582,x17585)) % 199.88/201.02 [1759]~E(x17591,x17592)+E(f634(x17593,x17594,x17595,x17591),f634(x17593,x17594,x17595,x17592)) % 199.88/201.02 [1760]~E(x17601,x17602)+E(f846(x17601,x17603,x17604,x17605,x17606,x17607,x17608),f846(x17602,x17603,x17604,x17605,x17606,x17607,x17608)) % 199.88/201.02 [1761]~E(x17611,x17612)+E(f846(x17613,x17611,x17614,x17615,x17616,x17617,x17618),f846(x17613,x17612,x17614,x17615,x17616,x17617,x17618)) % 199.88/201.02 [1762]~E(x17621,x17622)+E(f846(x17623,x17624,x17621,x17625,x17626,x17627,x17628),f846(x17623,x17624,x17622,x17625,x17626,x17627,x17628)) % 199.88/201.02 [1763]~E(x17631,x17632)+E(f846(x17633,x17634,x17635,x17631,x17636,x17637,x17638),f846(x17633,x17634,x17635,x17632,x17636,x17637,x17638)) % 199.88/201.02 [1764]~E(x17641,x17642)+E(f846(x17643,x17644,x17645,x17646,x17641,x17647,x17648),f846(x17643,x17644,x17645,x17646,x17642,x17647,x17648)) % 199.88/201.02 [1765]~E(x17651,x17652)+E(f846(x17653,x17654,x17655,x17656,x17657,x17651,x17658),f846(x17653,x17654,x17655,x17656,x17657,x17652,x17658)) % 199.88/201.02 [1766]~E(x17661,x17662)+E(f846(x17663,x17664,x17665,x17666,x17667,x17668,x17661),f846(x17663,x17664,x17665,x17666,x17667,x17668,x17662)) % 199.88/201.02 [1767]~E(x17671,x17672)+E(f838(x17671),f838(x17672)) % 199.88/201.02 [1768]~E(x17681,x17682)+E(f21(x17681,x17683),f21(x17682,x17683)) % 199.88/201.02 [1769]~E(x17691,x17692)+E(f21(x17693,x17691),f21(x17693,x17692)) % 199.88/201.02 [1770]~E(x17701,x17702)+E(f561(x17701,x17703,x17704,x17705,x17706,x17707),f561(x17702,x17703,x17704,x17705,x17706,x17707)) % 199.88/201.02 [1771]~E(x17711,x17712)+E(f561(x17713,x17711,x17714,x17715,x17716,x17717),f561(x17713,x17712,x17714,x17715,x17716,x17717)) % 199.88/201.02 [1772]~E(x17721,x17722)+E(f561(x17723,x17724,x17721,x17725,x17726,x17727),f561(x17723,x17724,x17722,x17725,x17726,x17727)) % 199.88/201.02 [1773]~E(x17731,x17732)+E(f561(x17733,x17734,x17735,x17731,x17736,x17737),f561(x17733,x17734,x17735,x17732,x17736,x17737)) % 199.88/201.02 [1774]~E(x17741,x17742)+E(f561(x17743,x17744,x17745,x17746,x17741,x17747),f561(x17743,x17744,x17745,x17746,x17742,x17747)) % 199.88/201.02 [1775]~E(x17751,x17752)+E(f561(x17753,x17754,x17755,x17756,x17757,x17751),f561(x17753,x17754,x17755,x17756,x17757,x17752)) % 199.88/201.02 [1776]~E(x17761,x17762)+E(f559(x17761,x17763,x17764,x17765,x17766,x17767),f559(x17762,x17763,x17764,x17765,x17766,x17767)) % 199.88/201.02 [1777]~E(x17771,x17772)+E(f559(x17773,x17771,x17774,x17775,x17776,x17777),f559(x17773,x17772,x17774,x17775,x17776,x17777)) % 199.88/201.02 [1778]~E(x17781,x17782)+E(f559(x17783,x17784,x17781,x17785,x17786,x17787),f559(x17783,x17784,x17782,x17785,x17786,x17787)) % 199.88/201.02 [1779]~E(x17791,x17792)+E(f559(x17793,x17794,x17795,x17791,x17796,x17797),f559(x17793,x17794,x17795,x17792,x17796,x17797)) % 199.88/201.02 [1780]~E(x17801,x17802)+E(f559(x17803,x17804,x17805,x17806,x17801,x17807),f559(x17803,x17804,x17805,x17806,x17802,x17807)) % 199.88/201.02 [1781]~E(x17811,x17812)+E(f559(x17813,x17814,x17815,x17816,x17817,x17811),f559(x17813,x17814,x17815,x17816,x17817,x17812)) % 199.88/201.02 [1782]~E(x17821,x17822)+E(f729(x17821,x17823,x17824),f729(x17822,x17823,x17824)) % 199.88/201.02 [1783]~E(x17831,x17832)+E(f729(x17833,x17831,x17834),f729(x17833,x17832,x17834)) % 199.88/201.02 [1784]~E(x17841,x17842)+E(f729(x17843,x17844,x17841),f729(x17843,x17844,x17842)) % 199.88/201.02 [1785]~E(x17851,x17852)+E(f454(x17851,x17853,x17854,x17855,x17856),f454(x17852,x17853,x17854,x17855,x17856)) % 199.88/201.02 [1786]~E(x17861,x17862)+E(f454(x17863,x17861,x17864,x17865,x17866),f454(x17863,x17862,x17864,x17865,x17866)) % 199.88/201.02 [1787]~E(x17871,x17872)+E(f454(x17873,x17874,x17871,x17875,x17876),f454(x17873,x17874,x17872,x17875,x17876)) % 199.88/201.02 [1788]~E(x17881,x17882)+E(f454(x17883,x17884,x17885,x17881,x17886),f454(x17883,x17884,x17885,x17882,x17886)) % 199.88/201.02 [1789]~E(x17891,x17892)+E(f454(x17893,x17894,x17895,x17896,x17891),f454(x17893,x17894,x17895,x17896,x17892)) % 199.88/201.02 [1790]~E(x17901,x17902)+E(f693(x17901,x17903),f693(x17902,x17903)) % 199.88/201.02 [1791]~E(x17911,x17912)+E(f693(x17913,x17911),f693(x17913,x17912)) % 199.88/201.02 [1792]~E(x17921,x17922)+E(f708(x17921,x17923),f708(x17922,x17923)) % 199.88/201.02 [1793]~E(x17931,x17932)+E(f708(x17933,x17931),f708(x17933,x17932)) % 199.88/201.02 [1794]~E(x17941,x17942)+E(f420(x17941,x17943,x17944),f420(x17942,x17943,x17944)) % 199.88/201.02 [1795]~E(x17951,x17952)+E(f420(x17953,x17951,x17954),f420(x17953,x17952,x17954)) % 199.88/201.02 [1796]~E(x17961,x17962)+E(f420(x17963,x17964,x17961),f420(x17963,x17964,x17962)) % 199.88/201.02 [1797]~E(x17971,x17972)+E(f867(x17971,x17973,x17974),f867(x17972,x17973,x17974)) % 199.88/201.02 [1798]~E(x17981,x17982)+E(f867(x17983,x17981,x17984),f867(x17983,x17982,x17984)) % 199.88/201.02 [1799]~E(x17991,x17992)+E(f867(x17993,x17994,x17991),f867(x17993,x17994,x17992)) % 199.88/201.02 [1800]~E(x18001,x18002)+E(f467(x18001,x18003,x18004,x18005,x18006),f467(x18002,x18003,x18004,x18005,x18006)) % 199.88/201.02 [1801]~E(x18011,x18012)+E(f467(x18013,x18011,x18014,x18015,x18016),f467(x18013,x18012,x18014,x18015,x18016)) % 199.88/201.02 [1802]~E(x18021,x18022)+E(f467(x18023,x18024,x18021,x18025,x18026),f467(x18023,x18024,x18022,x18025,x18026)) % 199.88/201.02 [1803]~E(x18031,x18032)+E(f467(x18033,x18034,x18035,x18031,x18036),f467(x18033,x18034,x18035,x18032,x18036)) % 199.88/201.02 [1804]~E(x18041,x18042)+E(f467(x18043,x18044,x18045,x18046,x18041),f467(x18043,x18044,x18045,x18046,x18042)) % 199.88/201.02 [1805]~E(x18051,x18052)+E(f288(x18051,x18053,x18054),f288(x18052,x18053,x18054)) % 199.88/201.02 [1806]~E(x18061,x18062)+E(f288(x18063,x18061,x18064),f288(x18063,x18062,x18064)) % 199.88/201.02 [1807]~E(x18071,x18072)+E(f288(x18073,x18074,x18071),f288(x18073,x18074,x18072)) % 199.88/201.02 [1808]~E(x18081,x18082)+E(f619(x18081,x18083,x18084,x18085,x18086,x18087),f619(x18082,x18083,x18084,x18085,x18086,x18087)) % 199.88/201.02 [1809]~E(x18091,x18092)+E(f619(x18093,x18091,x18094,x18095,x18096,x18097),f619(x18093,x18092,x18094,x18095,x18096,x18097)) % 199.88/201.02 [1810]~E(x18101,x18102)+E(f619(x18103,x18104,x18101,x18105,x18106,x18107),f619(x18103,x18104,x18102,x18105,x18106,x18107)) % 199.88/201.02 [1811]~E(x18111,x18112)+E(f619(x18113,x18114,x18115,x18111,x18116,x18117),f619(x18113,x18114,x18115,x18112,x18116,x18117)) % 199.88/201.02 [1812]~E(x18121,x18122)+E(f619(x18123,x18124,x18125,x18126,x18121,x18127),f619(x18123,x18124,x18125,x18126,x18122,x18127)) % 199.88/201.02 [1813]~E(x18131,x18132)+E(f619(x18133,x18134,x18135,x18136,x18137,x18131),f619(x18133,x18134,x18135,x18136,x18137,x18132)) % 199.88/201.02 [1814]~E(x18141,x18142)+E(f692(x18141,x18143,x18144),f692(x18142,x18143,x18144)) % 199.88/201.02 [1815]~E(x18151,x18152)+E(f692(x18153,x18151,x18154),f692(x18153,x18152,x18154)) % 199.88/201.02 [1816]~E(x18161,x18162)+E(f692(x18163,x18164,x18161),f692(x18163,x18164,x18162)) % 199.88/201.02 [1817]~E(x18171,x18172)+E(f755(x18171,x18173,x18174),f755(x18172,x18173,x18174)) % 199.88/201.02 [1818]~E(x18181,x18182)+E(f755(x18183,x18181,x18184),f755(x18183,x18182,x18184)) % 199.88/201.02 [1819]~E(x18191,x18192)+E(f755(x18193,x18194,x18191),f755(x18193,x18194,x18192)) % 199.88/201.02 [1820]~E(x18201,x18202)+E(f775(x18201,x18203,x18204),f775(x18202,x18203,x18204)) % 199.88/201.02 [1821]~E(x18211,x18212)+E(f775(x18213,x18211,x18214),f775(x18213,x18212,x18214)) % 199.88/201.02 [1822]~E(x18221,x18222)+E(f775(x18223,x18224,x18221),f775(x18223,x18224,x18222)) % 199.88/201.02 [1823]~E(x18231,x18232)+E(f121(x18231,x18233,x18234,x18235),f121(x18232,x18233,x18234,x18235)) % 199.88/201.02 [1824]~E(x18241,x18242)+E(f121(x18243,x18241,x18244,x18245),f121(x18243,x18242,x18244,x18245)) % 199.88/201.02 [1825]~E(x18251,x18252)+E(f121(x18253,x18254,x18251,x18255),f121(x18253,x18254,x18252,x18255)) % 199.88/201.02 [1826]~E(x18261,x18262)+E(f121(x18263,x18264,x18265,x18261),f121(x18263,x18264,x18265,x18262)) % 199.88/201.02 [1827]~E(x18271,x18272)+E(f627(x18271,x18273),f627(x18272,x18273)) % 199.88/201.02 [1828]~E(x18281,x18282)+E(f627(x18283,x18281),f627(x18283,x18282)) % 199.88/201.02 [1829]~E(x18291,x18292)+E(f719(x18291,x18293,x18294,x18295,x18296),f719(x18292,x18293,x18294,x18295,x18296)) % 199.88/201.02 [1830]~E(x18301,x18302)+E(f719(x18303,x18301,x18304,x18305,x18306),f719(x18303,x18302,x18304,x18305,x18306)) % 199.88/201.02 [1831]~E(x18311,x18312)+E(f719(x18313,x18314,x18311,x18315,x18316),f719(x18313,x18314,x18312,x18315,x18316)) % 199.88/201.02 [1832]~E(x18321,x18322)+E(f719(x18323,x18324,x18325,x18321,x18326),f719(x18323,x18324,x18325,x18322,x18326)) % 199.88/201.02 [1833]~E(x18331,x18332)+E(f719(x18333,x18334,x18335,x18336,x18331),f719(x18333,x18334,x18335,x18336,x18332)) % 199.88/201.02 [1834]~E(x18341,x18342)+E(f684(x18341,x18343),f684(x18342,x18343)) % 199.88/201.02 [1835]~E(x18351,x18352)+E(f684(x18353,x18351),f684(x18353,x18352)) % 199.88/201.02 [1836]~E(x18361,x18362)+E(f341(x18361,x18363),f341(x18362,x18363)) % 199.88/201.02 [1837]~E(x18371,x18372)+E(f341(x18373,x18371),f341(x18373,x18372)) % 199.88/201.02 [1838]~E(x18381,x18382)+E(f576(x18381,x18383),f576(x18382,x18383)) % 199.88/201.02 [1839]~E(x18391,x18392)+E(f576(x18393,x18391),f576(x18393,x18392)) % 199.88/201.02 [1840]~E(x18401,x18402)+E(f823(x18401,x18403,x18404,x18405,x18406,x18407,x18408,x18409),f823(x18402,x18403,x18404,x18405,x18406,x18407,x18408,x18409)) % 199.88/201.02 [1841]~E(x18411,x18412)+E(f823(x18413,x18411,x18414,x18415,x18416,x18417,x18418,x18419),f823(x18413,x18412,x18414,x18415,x18416,x18417,x18418,x18419)) % 199.88/201.02 [1842]~E(x18421,x18422)+E(f823(x18423,x18424,x18421,x18425,x18426,x18427,x18428,x18429),f823(x18423,x18424,x18422,x18425,x18426,x18427,x18428,x18429)) % 199.88/201.02 [1843]~E(x18431,x18432)+E(f823(x18433,x18434,x18435,x18431,x18436,x18437,x18438,x18439),f823(x18433,x18434,x18435,x18432,x18436,x18437,x18438,x18439)) % 199.88/201.02 [1844]~E(x18441,x18442)+E(f823(x18443,x18444,x18445,x18446,x18441,x18447,x18448,x18449),f823(x18443,x18444,x18445,x18446,x18442,x18447,x18448,x18449)) % 199.88/201.02 [1845]~E(x18451,x18452)+E(f823(x18453,x18454,x18455,x18456,x18457,x18451,x18458,x18459),f823(x18453,x18454,x18455,x18456,x18457,x18452,x18458,x18459)) % 199.88/201.02 [1846]~E(x18461,x18462)+E(f823(x18463,x18464,x18465,x18466,x18467,x18468,x18461,x18469),f823(x18463,x18464,x18465,x18466,x18467,x18468,x18462,x18469)) % 199.88/201.02 [1847]~E(x18471,x18472)+E(f823(x18473,x18474,x18475,x18476,x18477,x18478,x18479,x18471),f823(x18473,x18474,x18475,x18476,x18477,x18478,x18479,x18472)) % 199.88/201.02 [1848]~E(x18481,x18482)+E(f471(x18481,x18483,x18484),f471(x18482,x18483,x18484)) % 199.88/201.02 [1849]~E(x18491,x18492)+E(f471(x18493,x18491,x18494),f471(x18493,x18492,x18494)) % 199.88/201.02 [1850]~E(x18501,x18502)+E(f471(x18503,x18504,x18501),f471(x18503,x18504,x18502)) % 199.88/201.02 [1851]~E(x18511,x18512)+E(f480(x18511,x18513,x18514),f480(x18512,x18513,x18514)) % 199.88/201.02 [1852]~E(x18521,x18522)+E(f480(x18523,x18521,x18524),f480(x18523,x18522,x18524)) % 199.88/201.02 [1853]~E(x18531,x18532)+E(f480(x18533,x18534,x18531),f480(x18533,x18534,x18532)) % 199.88/201.02 [1854]~E(x18541,x18542)+E(f554(x18541,x18543,x18544),f554(x18542,x18543,x18544)) % 199.88/201.02 [1855]~E(x18551,x18552)+E(f554(x18553,x18551,x18554),f554(x18553,x18552,x18554)) % 199.88/201.02 [1856]~E(x18561,x18562)+E(f554(x18563,x18564,x18561),f554(x18563,x18564,x18562)) % 199.88/201.02 [1857]~E(x18571,x18572)+E(f711(x18571,x18573),f711(x18572,x18573)) % 199.88/201.02 [1858]~E(x18581,x18582)+E(f711(x18583,x18581),f711(x18583,x18582)) % 199.88/201.02 [1859]~E(x18591,x18592)+E(f862(x18591,x18593,x18594),f862(x18592,x18593,x18594)) % 199.88/201.02 [1860]~E(x18601,x18602)+E(f862(x18603,x18601,x18604),f862(x18603,x18602,x18604)) % 199.88/201.02 [1861]~E(x18611,x18612)+E(f862(x18613,x18614,x18611),f862(x18613,x18614,x18612)) % 199.88/201.02 [1862]~E(x18621,x18622)+E(f751(x18621,x18623,x18624),f751(x18622,x18623,x18624)) % 199.88/201.02 [1863]~E(x18631,x18632)+E(f751(x18633,x18631,x18634),f751(x18633,x18632,x18634)) % 199.88/201.02 [1864]~E(x18641,x18642)+E(f751(x18643,x18644,x18641),f751(x18643,x18644,x18642)) % 199.88/201.02 [1865]~E(x18651,x18652)+E(f392(x18651,x18653,x18654,x18655),f392(x18652,x18653,x18654,x18655)) % 199.88/201.02 [1866]~E(x18661,x18662)+E(f392(x18663,x18661,x18664,x18665),f392(x18663,x18662,x18664,x18665)) % 199.88/201.02 [1867]~E(x18671,x18672)+E(f392(x18673,x18674,x18671,x18675),f392(x18673,x18674,x18672,x18675)) % 199.88/201.02 [1868]~E(x18681,x18682)+E(f392(x18683,x18684,x18685,x18681),f392(x18683,x18684,x18685,x18682)) % 199.88/201.02 [1869]~E(x18691,x18692)+E(f462(x18691,x18693,x18694,x18695,x18696),f462(x18692,x18693,x18694,x18695,x18696)) % 199.88/201.02 [1870]~E(x18701,x18702)+E(f462(x18703,x18701,x18704,x18705,x18706),f462(x18703,x18702,x18704,x18705,x18706)) % 199.88/201.02 [1871]~E(x18711,x18712)+E(f462(x18713,x18714,x18711,x18715,x18716),f462(x18713,x18714,x18712,x18715,x18716)) % 199.88/201.02 [1872]~E(x18721,x18722)+E(f462(x18723,x18724,x18725,x18721,x18726),f462(x18723,x18724,x18725,x18722,x18726)) % 199.88/201.02 [1873]~E(x18731,x18732)+E(f462(x18733,x18734,x18735,x18736,x18731),f462(x18733,x18734,x18735,x18736,x18732)) % 199.88/201.02 [1874]~E(x18741,x18742)+E(f868(x18741,x18743,x18744,x18745),f868(x18742,x18743,x18744,x18745)) % 199.88/201.02 [1875]~E(x18751,x18752)+E(f868(x18753,x18751,x18754,x18755),f868(x18753,x18752,x18754,x18755)) % 199.88/201.02 [1876]~E(x18761,x18762)+E(f868(x18763,x18764,x18761,x18765),f868(x18763,x18764,x18762,x18765)) % 199.88/201.02 [1877]~E(x18771,x18772)+E(f868(x18773,x18774,x18775,x18771),f868(x18773,x18774,x18775,x18772)) % 199.88/201.02 [1878]~E(x18781,x18782)+E(f48(x18781,x18783),f48(x18782,x18783)) % 199.88/201.02 [1879]~E(x18791,x18792)+E(f48(x18793,x18791),f48(x18793,x18792)) % 199.88/201.02 [1880]~E(x18801,x18802)+E(f545(x18801),f545(x18802)) % 199.88/201.02 [1881]~E(x18811,x18812)+E(f191(x18811),f191(x18812)) % 199.88/201.02 [1882]~E(x18821,x18822)+E(f742(x18821,x18823,x18824),f742(x18822,x18823,x18824)) % 199.88/201.02 [1883]~E(x18831,x18832)+E(f742(x18833,x18831,x18834),f742(x18833,x18832,x18834)) % 199.88/201.02 [1884]~E(x18841,x18842)+E(f742(x18843,x18844,x18841),f742(x18843,x18844,x18842)) % 199.88/201.02 [1885]~E(x18851,x18852)+E(f33(x18851),f33(x18852)) % 199.88/201.02 [1886]~E(x18861,x18862)+E(f761(x18861,x18863,x18864),f761(x18862,x18863,x18864)) % 199.88/201.02 [1887]~E(x18871,x18872)+E(f761(x18873,x18871,x18874),f761(x18873,x18872,x18874)) % 199.88/201.02 [1888]~E(x18881,x18882)+E(f761(x18883,x18884,x18881),f761(x18883,x18884,x18882)) % 199.88/201.02 [1889]~E(x18891,x18892)+E(f542(x18891,x18893,x18894),f542(x18892,x18893,x18894)) % 199.88/201.02 [1890]~E(x18901,x18902)+E(f542(x18903,x18901,x18904),f542(x18903,x18902,x18904)) % 199.88/201.02 [1891]~E(x18911,x18912)+E(f542(x18913,x18914,x18911),f542(x18913,x18914,x18912)) % 199.88/201.02 [1892]~E(x18921,x18922)+E(f68(x18921,x18923),f68(x18922,x18923)) % 199.88/201.02 [1893]~E(x18931,x18932)+E(f68(x18933,x18931),f68(x18933,x18932)) % 199.88/201.02 [1894]~E(x18941,x18942)+E(f133(x18941,x18943),f133(x18942,x18943)) % 199.88/201.02 [1895]~E(x18951,x18952)+E(f133(x18953,x18951),f133(x18953,x18952)) % 199.88/201.02 [1896]~E(x18961,x18962)+E(f227(x18961,x18963),f227(x18962,x18963)) % 199.88/201.02 [1897]~E(x18971,x18972)+E(f227(x18973,x18971),f227(x18973,x18972)) % 199.88/201.02 [1898]~E(x18981,x18982)+E(f476(x18981,x18983,x18984),f476(x18982,x18983,x18984)) % 199.88/201.02 [1899]~E(x18991,x18992)+E(f476(x18993,x18991,x18994),f476(x18993,x18992,x18994)) % 199.88/201.02 [1900]~E(x19001,x19002)+E(f476(x19003,x19004,x19001),f476(x19003,x19004,x19002)) % 199.88/201.02 [1901]~E(x19011,x19012)+E(f526(x19011,x19013,x19014,x19015,x19016,x19017),f526(x19012,x19013,x19014,x19015,x19016,x19017)) % 199.88/201.02 [1902]~E(x19021,x19022)+E(f526(x19023,x19021,x19024,x19025,x19026,x19027),f526(x19023,x19022,x19024,x19025,x19026,x19027)) % 199.88/201.02 [1903]~E(x19031,x19032)+E(f526(x19033,x19034,x19031,x19035,x19036,x19037),f526(x19033,x19034,x19032,x19035,x19036,x19037)) % 199.88/201.02 [1904]~E(x19041,x19042)+E(f526(x19043,x19044,x19045,x19041,x19046,x19047),f526(x19043,x19044,x19045,x19042,x19046,x19047)) % 199.88/201.02 [1905]~E(x19051,x19052)+E(f526(x19053,x19054,x19055,x19056,x19051,x19057),f526(x19053,x19054,x19055,x19056,x19052,x19057)) % 199.88/201.02 [1906]~E(x19061,x19062)+E(f526(x19063,x19064,x19065,x19066,x19067,x19061),f526(x19063,x19064,x19065,x19066,x19067,x19062)) % 199.88/201.02 [1907]~E(x19071,x19072)+E(f557(x19071,x19073,x19074),f557(x19072,x19073,x19074)) % 199.88/201.02 [1908]~E(x19081,x19082)+E(f557(x19083,x19081,x19084),f557(x19083,x19082,x19084)) % 199.88/201.02 [1909]~E(x19091,x19092)+E(f557(x19093,x19094,x19091),f557(x19093,x19094,x19092)) % 199.88/201.02 [1910]~E(x19101,x19102)+E(f855(x19101,x19103),f855(x19102,x19103)) % 199.88/201.02 [1911]~E(x19111,x19112)+E(f855(x19113,x19111),f855(x19113,x19112)) % 199.88/201.02 [1912]~E(x19121,x19122)+E(f426(x19121,x19123,x19124,x19125),f426(x19122,x19123,x19124,x19125)) % 199.88/201.02 [1913]~E(x19131,x19132)+E(f426(x19133,x19131,x19134,x19135),f426(x19133,x19132,x19134,x19135)) % 199.88/201.02 [1914]~E(x19141,x19142)+E(f426(x19143,x19144,x19141,x19145),f426(x19143,x19144,x19142,x19145)) % 199.88/201.02 [1915]~E(x19151,x19152)+E(f426(x19153,x19154,x19155,x19151),f426(x19153,x19154,x19155,x19152)) % 199.88/201.02 [1916]~E(x19161,x19162)+E(f461(x19161,x19163,x19164,x19165,x19166),f461(x19162,x19163,x19164,x19165,x19166)) % 199.88/201.02 [1917]~E(x19171,x19172)+E(f461(x19173,x19171,x19174,x19175,x19176),f461(x19173,x19172,x19174,x19175,x19176)) % 199.88/201.02 [1918]~E(x19181,x19182)+E(f461(x19183,x19184,x19181,x19185,x19186),f461(x19183,x19184,x19182,x19185,x19186)) % 199.88/201.02 [1919]~E(x19191,x19192)+E(f461(x19193,x19194,x19195,x19191,x19196),f461(x19193,x19194,x19195,x19192,x19196)) % 199.88/201.02 [1920]~E(x19201,x19202)+E(f461(x19203,x19204,x19205,x19206,x19201),f461(x19203,x19204,x19205,x19206,x19202)) % 199.88/201.02 [1921]~E(x19211,x19212)+E(f683(x19211,x19213),f683(x19212,x19213)) % 199.88/201.02 [1922]~E(x19221,x19222)+E(f683(x19223,x19221),f683(x19223,x19222)) % 199.88/201.02 [1923]~E(x19231,x19232)+E(f348(x19231,x19233),f348(x19232,x19233)) % 199.88/201.02 [1924]~E(x19241,x19242)+E(f348(x19243,x19241),f348(x19243,x19242)) % 199.88/201.02 [1925]~E(x19251,x19252)+E(f774(x19251,x19253,x19254,x19255),f774(x19252,x19253,x19254,x19255)) % 199.88/201.02 [1926]~E(x19261,x19262)+E(f774(x19263,x19261,x19264,x19265),f774(x19263,x19262,x19264,x19265)) % 199.88/201.02 [1927]~E(x19271,x19272)+E(f774(x19273,x19274,x19271,x19275),f774(x19273,x19274,x19272,x19275)) % 199.88/201.02 [1928]~E(x19281,x19282)+E(f774(x19283,x19284,x19285,x19281),f774(x19283,x19284,x19285,x19282)) % 199.88/201.02 [1929]~E(x19291,x19292)+E(f674(x19291,x19293),f674(x19292,x19293)) % 199.88/201.02 [1930]~E(x19301,x19302)+E(f674(x19303,x19301),f674(x19303,x19302)) % 199.88/201.02 [1931]~E(x19311,x19312)+E(f192(x19311,x19313),f192(x19312,x19313)) % 199.88/201.02 [1932]~E(x19321,x19322)+E(f192(x19323,x19321),f192(x19323,x19322)) % 199.88/201.02 [1933]~E(x19331,x19332)+E(f531(x19331,x19333,x19334,x19335),f531(x19332,x19333,x19334,x19335)) % 199.88/201.02 [1934]~E(x19341,x19342)+E(f531(x19343,x19341,x19344,x19345),f531(x19343,x19342,x19344,x19345)) % 199.88/201.02 [1935]~E(x19351,x19352)+E(f531(x19353,x19354,x19351,x19355),f531(x19353,x19354,x19352,x19355)) % 199.88/201.02 [1936]~E(x19361,x19362)+E(f531(x19363,x19364,x19365,x19361),f531(x19363,x19364,x19365,x19362)) % 199.88/201.02 [1937]~E(x19371,x19372)+E(f430(x19371,x19373,x19374),f430(x19372,x19373,x19374)) % 199.88/201.02 [1938]~E(x19381,x19382)+E(f430(x19383,x19381,x19384),f430(x19383,x19382,x19384)) % 199.88/201.02 [1939]~E(x19391,x19392)+E(f430(x19393,x19394,x19391),f430(x19393,x19394,x19392)) % 199.88/201.02 [1940]~E(x19401,x19402)+E(f733(x19401,x19403,x19404),f733(x19402,x19403,x19404)) % 199.88/201.02 [1941]~E(x19411,x19412)+E(f733(x19413,x19411,x19414),f733(x19413,x19412,x19414)) % 199.88/201.02 [1942]~E(x19421,x19422)+E(f733(x19423,x19424,x19421),f733(x19423,x19424,x19422)) % 199.88/201.02 [1943]~E(x19431,x19432)+E(f811(x19431,x19433,x19434),f811(x19432,x19433,x19434)) % 199.88/201.02 [1944]~E(x19441,x19442)+E(f811(x19443,x19441,x19444),f811(x19443,x19442,x19444)) % 199.88/201.02 [1945]~E(x19451,x19452)+E(f811(x19453,x19454,x19451),f811(x19453,x19454,x19452)) % 199.88/201.02 [1946]~E(x19461,x19462)+E(f670(x19461,x19463,x19464,x19465,x19466),f670(x19462,x19463,x19464,x19465,x19466)) % 199.88/201.02 [1947]~E(x19471,x19472)+E(f670(x19473,x19471,x19474,x19475,x19476),f670(x19473,x19472,x19474,x19475,x19476)) % 199.88/201.02 [1948]~E(x19481,x19482)+E(f670(x19483,x19484,x19481,x19485,x19486),f670(x19483,x19484,x19482,x19485,x19486)) % 199.88/201.02 [1949]~E(x19491,x19492)+E(f670(x19493,x19494,x19495,x19491,x19496),f670(x19493,x19494,x19495,x19492,x19496)) % 199.88/201.02 [1950]~E(x19501,x19502)+E(f670(x19503,x19504,x19505,x19506,x19501),f670(x19503,x19504,x19505,x19506,x19502)) % 199.88/201.02 [1951]~E(x19511,x19512)+E(f506(x19511,x19513,x19514,x19515),f506(x19512,x19513,x19514,x19515)) % 199.88/201.02 [1952]~E(x19521,x19522)+E(f506(x19523,x19521,x19524,x19525),f506(x19523,x19522,x19524,x19525)) % 199.88/201.02 [1953]~E(x19531,x19532)+E(f506(x19533,x19534,x19531,x19535),f506(x19533,x19534,x19532,x19535)) % 199.88/201.02 [1954]~E(x19541,x19542)+E(f506(x19543,x19544,x19545,x19541),f506(x19543,x19544,x19545,x19542)) % 199.88/201.02 [1955]~E(x19551,x19552)+E(f743(x19551,x19553,x19554),f743(x19552,x19553,x19554)) % 199.88/201.02 [1956]~E(x19561,x19562)+E(f743(x19563,x19561,x19564),f743(x19563,x19562,x19564)) % 199.88/201.02 [1957]~E(x19571,x19572)+E(f743(x19573,x19574,x19571),f743(x19573,x19574,x19572)) % 199.88/201.02 [1958]~E(x19581,x19582)+E(f217(x19581,x19583),f217(x19582,x19583)) % 199.88/201.02 [1959]~E(x19591,x19592)+E(f217(x19593,x19591),f217(x19593,x19592)) % 199.88/201.02 [1960]~E(x19601,x19602)+E(f715(x19601,x19603),f715(x19602,x19603)) % 199.88/201.02 [1961]~E(x19611,x19612)+E(f715(x19613,x19611),f715(x19613,x19612)) % 199.88/201.02 [1962]~E(x19621,x19622)+E(f600(x19621,x19623),f600(x19622,x19623)) % 199.88/201.02 [1963]~E(x19631,x19632)+E(f600(x19633,x19631),f600(x19633,x19632)) % 199.88/201.02 [1964]~E(x19641,x19642)+E(f468(x19641,x19643,x19644,x19645,x19646),f468(x19642,x19643,x19644,x19645,x19646)) % 199.88/201.02 [1965]~E(x19651,x19652)+E(f468(x19653,x19651,x19654,x19655,x19656),f468(x19653,x19652,x19654,x19655,x19656)) % 199.88/201.02 [1966]~E(x19661,x19662)+E(f468(x19663,x19664,x19661,x19665,x19666),f468(x19663,x19664,x19662,x19665,x19666)) % 199.88/201.02 [1967]~E(x19671,x19672)+E(f468(x19673,x19674,x19675,x19671,x19676),f468(x19673,x19674,x19675,x19672,x19676)) % 199.88/201.02 [1968]~E(x19681,x19682)+E(f468(x19683,x19684,x19685,x19686,x19681),f468(x19683,x19684,x19685,x19686,x19682)) % 199.88/201.02 [1969]~E(x19691,x19692)+E(f527(x19691,x19693,x19694,x19695,x19696,x19697),f527(x19692,x19693,x19694,x19695,x19696,x19697)) % 199.88/201.02 [1970]~E(x19701,x19702)+E(f527(x19703,x19701,x19704,x19705,x19706,x19707),f527(x19703,x19702,x19704,x19705,x19706,x19707)) % 199.88/201.02 [1971]~E(x19711,x19712)+E(f527(x19713,x19714,x19711,x19715,x19716,x19717),f527(x19713,x19714,x19712,x19715,x19716,x19717)) % 199.88/201.02 [1972]~E(x19721,x19722)+E(f527(x19723,x19724,x19725,x19721,x19726,x19727),f527(x19723,x19724,x19725,x19722,x19726,x19727)) % 199.88/201.02 [1973]~E(x19731,x19732)+E(f527(x19733,x19734,x19735,x19736,x19731,x19737),f527(x19733,x19734,x19735,x19736,x19732,x19737)) % 199.88/201.02 [1974]~E(x19741,x19742)+E(f527(x19743,x19744,x19745,x19746,x19747,x19741),f527(x19743,x19744,x19745,x19746,x19747,x19742)) % 199.88/201.02 [1975]~E(x19751,x19752)+E(f783(x19751,x19753),f783(x19752,x19753)) % 199.88/201.02 [1976]~E(x19761,x19762)+E(f783(x19763,x19761),f783(x19763,x19762)) % 199.88/201.02 [1977]~E(x19771,x19772)+E(f730(x19771,x19773,x19774,x19775),f730(x19772,x19773,x19774,x19775)) % 199.88/201.02 [1978]~E(x19781,x19782)+E(f730(x19783,x19781,x19784,x19785),f730(x19783,x19782,x19784,x19785)) % 199.88/201.02 [1979]~E(x19791,x19792)+E(f730(x19793,x19794,x19791,x19795),f730(x19793,x19794,x19792,x19795)) % 199.88/201.02 [1980]~E(x19801,x19802)+E(f730(x19803,x19804,x19805,x19801),f730(x19803,x19804,x19805,x19802)) % 199.88/201.02 [1981]~E(x19811,x19812)+E(f530(x19811,x19813,x19814,x19815),f530(x19812,x19813,x19814,x19815)) % 199.88/201.02 [1982]~E(x19821,x19822)+E(f530(x19823,x19821,x19824,x19825),f530(x19823,x19822,x19824,x19825)) % 199.88/201.02 [1983]~E(x19831,x19832)+E(f530(x19833,x19834,x19831,x19835),f530(x19833,x19834,x19832,x19835)) % 199.88/201.02 [1984]~E(x19841,x19842)+E(f530(x19843,x19844,x19845,x19841),f530(x19843,x19844,x19845,x19842)) % 199.88/201.02 [1985]~E(x19851,x19852)+E(f753(x19851,x19853,x19854,x19855),f753(x19852,x19853,x19854,x19855)) % 199.88/201.02 [1986]~E(x19861,x19862)+E(f753(x19863,x19861,x19864,x19865),f753(x19863,x19862,x19864,x19865)) % 199.88/201.02 [1987]~E(x19871,x19872)+E(f753(x19873,x19874,x19871,x19875),f753(x19873,x19874,x19872,x19875)) % 199.88/201.02 [1988]~E(x19881,x19882)+E(f753(x19883,x19884,x19885,x19881),f753(x19883,x19884,x19885,x19882)) % 199.88/201.02 [1989]~E(x19891,x19892)+E(f691(x19891,x19893,x19894),f691(x19892,x19893,x19894)) % 199.88/201.02 [1990]~E(x19901,x19902)+E(f691(x19903,x19901,x19904),f691(x19903,x19902,x19904)) % 199.88/201.02 [1991]~E(x19911,x19912)+E(f691(x19913,x19914,x19911),f691(x19913,x19914,x19912)) % 199.88/201.02 [1992]~E(x19921,x19922)+E(f551(x19921,x19923,x19924),f551(x19922,x19923,x19924)) % 199.88/201.02 [1993]~E(x19931,x19932)+E(f551(x19933,x19931,x19934),f551(x19933,x19932,x19934)) % 199.88/201.02 [1994]~E(x19941,x19942)+E(f551(x19943,x19944,x19941),f551(x19943,x19944,x19942)) % 199.88/201.02 [1995]~E(x19951,x19952)+E(f448(x19951,x19953,x19954),f448(x19952,x19953,x19954)) % 199.88/201.02 [1996]~E(x19961,x19962)+E(f448(x19963,x19961,x19964),f448(x19963,x19962,x19964)) % 199.88/201.02 [1997]~E(x19971,x19972)+E(f448(x19973,x19974,x19971),f448(x19973,x19974,x19972)) % 199.88/201.02 [1998]~E(x19981,x19982)+E(f327(x19981,x19983,x19984),f327(x19982,x19983,x19984)) % 199.88/201.02 [1999]~E(x19991,x19992)+E(f327(x19993,x19991,x19994),f327(x19993,x19992,x19994)) % 199.88/201.02 [2000]~E(x20001,x20002)+E(f327(x20003,x20004,x20001),f327(x20003,x20004,x20002)) % 199.88/201.02 [2001]~E(x20011,x20012)+E(f419(x20011,x20013,x20014),f419(x20012,x20013,x20014)) % 199.88/201.02 [2002]~E(x20021,x20022)+E(f419(x20023,x20021,x20024),f419(x20023,x20022,x20024)) % 199.88/201.02 [2003]~E(x20031,x20032)+E(f419(x20033,x20034,x20031),f419(x20033,x20034,x20032)) % 199.88/201.02 [2004]~E(x20041,x20042)+E(f909(x20041),f909(x20042)) % 199.88/201.02 [2005]~E(x20051,x20052)+E(f873(x20051,x20053,x20054),f873(x20052,x20053,x20054)) % 199.88/201.02 [2006]~E(x20061,x20062)+E(f873(x20063,x20061,x20064),f873(x20063,x20062,x20064)) % 199.88/201.02 [2007]~E(x20071,x20072)+E(f873(x20073,x20074,x20071),f873(x20073,x20074,x20072)) % 199.88/201.02 [2008]~E(x20081,x20082)+E(f442(x20081,x20083,x20084,x20085,x20086),f442(x20082,x20083,x20084,x20085,x20086)) % 199.88/201.02 [2009]~E(x20091,x20092)+E(f442(x20093,x20091,x20094,x20095,x20096),f442(x20093,x20092,x20094,x20095,x20096)) % 199.88/201.02 [2010]~E(x20101,x20102)+E(f442(x20103,x20104,x20101,x20105,x20106),f442(x20103,x20104,x20102,x20105,x20106)) % 199.88/201.02 [2011]~E(x20111,x20112)+E(f442(x20113,x20114,x20115,x20111,x20116),f442(x20113,x20114,x20115,x20112,x20116)) % 199.88/201.02 [2012]~E(x20121,x20122)+E(f442(x20123,x20124,x20125,x20126,x20121),f442(x20123,x20124,x20125,x20126,x20122)) % 199.88/201.02 [2013]~E(x20131,x20132)+E(f716(x20131,x20133,x20134),f716(x20132,x20133,x20134)) % 199.88/201.02 [2014]~E(x20141,x20142)+E(f716(x20143,x20141,x20144),f716(x20143,x20142,x20144)) % 199.88/201.02 [2015]~E(x20151,x20152)+E(f716(x20153,x20154,x20151),f716(x20153,x20154,x20152)) % 199.88/201.02 [2016]~E(x20161,x20162)+E(f458(x20161,x20163,x20164,x20165),f458(x20162,x20163,x20164,x20165)) % 199.88/201.02 [2017]~E(x20171,x20172)+E(f458(x20173,x20171,x20174,x20175),f458(x20173,x20172,x20174,x20175)) % 199.88/201.02 [2018]~E(x20181,x20182)+E(f458(x20183,x20184,x20181,x20185),f458(x20183,x20184,x20182,x20185)) % 199.88/201.02 [2019]~E(x20191,x20192)+E(f458(x20193,x20194,x20195,x20191),f458(x20193,x20194,x20195,x20192)) % 199.88/201.02 [2020]~E(x20201,x20202)+E(f525(x20201,x20203,x20204,x20205),f525(x20202,x20203,x20204,x20205)) % 199.88/201.02 [2021]~E(x20211,x20212)+E(f525(x20213,x20211,x20214,x20215),f525(x20213,x20212,x20214,x20215)) % 199.88/201.02 [2022]~E(x20221,x20222)+E(f525(x20223,x20224,x20221,x20225),f525(x20223,x20224,x20222,x20225)) % 199.88/201.02 [2023]~E(x20231,x20232)+E(f525(x20233,x20234,x20235,x20231),f525(x20233,x20234,x20235,x20232)) % 199.88/201.02 [2024]~E(x20241,x20242)+E(f152(x20241,x20243),f152(x20242,x20243)) % 199.88/201.02 [2025]~E(x20251,x20252)+E(f152(x20253,x20251),f152(x20253,x20252)) % 199.88/201.02 [2026]~E(x20261,x20262)+E(f687(x20261,x20263),f687(x20262,x20263)) % 199.88/201.02 [2027]~E(x20271,x20272)+E(f687(x20273,x20271),f687(x20273,x20272)) % 199.88/201.02 [2028]~E(x20281,x20282)+E(f326(x20281,x20283,x20284),f326(x20282,x20283,x20284)) % 199.88/201.02 [2029]~E(x20291,x20292)+E(f326(x20293,x20291,x20294),f326(x20293,x20292,x20294)) % 199.88/201.02 [2030]~E(x20301,x20302)+E(f326(x20303,x20304,x20301),f326(x20303,x20304,x20302)) % 199.88/201.02 [2031]~E(x20311,x20312)+E(f685(x20311,x20313),f685(x20312,x20313)) % 199.88/201.02 [2032]~E(x20321,x20322)+E(f685(x20323,x20321),f685(x20323,x20322)) % 199.88/201.02 [2033]~E(x20331,x20332)+E(f477(x20331,x20333,x20334),f477(x20332,x20333,x20334)) % 199.88/201.02 [2034]~E(x20341,x20342)+E(f477(x20343,x20341,x20344),f477(x20343,x20342,x20344)) % 199.88/201.02 [2035]~E(x20351,x20352)+E(f477(x20353,x20354,x20351),f477(x20353,x20354,x20352)) % 199.88/201.02 [2036]~E(x20361,x20362)+E(f267(x20361,x20363,x20364,x20365),f267(x20362,x20363,x20364,x20365)) % 199.88/201.02 [2037]~E(x20371,x20372)+E(f267(x20373,x20371,x20374,x20375),f267(x20373,x20372,x20374,x20375)) % 199.88/201.02 [2038]~E(x20381,x20382)+E(f267(x20383,x20384,x20381,x20385),f267(x20383,x20384,x20382,x20385)) % 199.88/201.02 [2039]~E(x20391,x20392)+E(f267(x20393,x20394,x20395,x20391),f267(x20393,x20394,x20395,x20392)) % 199.88/201.02 [2040]~E(x20401,x20402)+E(f479(x20401,x20403,x20404),f479(x20402,x20403,x20404)) % 199.88/201.02 [2041]~E(x20411,x20412)+E(f479(x20413,x20411,x20414),f479(x20413,x20412,x20414)) % 199.88/201.02 [2042]~E(x20421,x20422)+E(f479(x20423,x20424,x20421),f479(x20423,x20424,x20422)) % 199.88/201.02 [2043]~E(x20431,x20432)+E(f884(x20431,x20433,x20434,x20435),f884(x20432,x20433,x20434,x20435)) % 199.88/201.02 [2044]~E(x20441,x20442)+E(f884(x20443,x20441,x20444,x20445),f884(x20443,x20442,x20444,x20445)) % 199.88/201.02 [2045]~E(x20451,x20452)+E(f884(x20453,x20454,x20451,x20455),f884(x20453,x20454,x20452,x20455)) % 199.88/201.02 [2046]~E(x20461,x20462)+E(f884(x20463,x20464,x20465,x20461),f884(x20463,x20464,x20465,x20462)) % 199.88/201.02 [2047]~E(x20471,x20472)+E(f814(x20471,x20473,x20474,x20475,x20476,x20477,x20478,x20479),f814(x20472,x20473,x20474,x20475,x20476,x20477,x20478,x20479)) % 199.88/201.02 [2048]~E(x20481,x20482)+E(f814(x20483,x20481,x20484,x20485,x20486,x20487,x20488,x20489),f814(x20483,x20482,x20484,x20485,x20486,x20487,x20488,x20489)) % 199.88/201.02 [2049]~E(x20491,x20492)+E(f814(x20493,x20494,x20491,x20495,x20496,x20497,x20498,x20499),f814(x20493,x20494,x20492,x20495,x20496,x20497,x20498,x20499)) % 199.88/201.02 [2050]~E(x20501,x20502)+E(f814(x20503,x20504,x20505,x20501,x20506,x20507,x20508,x20509),f814(x20503,x20504,x20505,x20502,x20506,x20507,x20508,x20509)) % 199.88/201.02 [2051]~E(x20511,x20512)+E(f814(x20513,x20514,x20515,x20516,x20511,x20517,x20518,x20519),f814(x20513,x20514,x20515,x20516,x20512,x20517,x20518,x20519)) % 199.88/201.02 [2052]~E(x20521,x20522)+E(f814(x20523,x20524,x20525,x20526,x20527,x20521,x20528,x20529),f814(x20523,x20524,x20525,x20526,x20527,x20522,x20528,x20529)) % 199.88/201.02 [2053]~E(x20531,x20532)+E(f814(x20533,x20534,x20535,x20536,x20537,x20538,x20531,x20539),f814(x20533,x20534,x20535,x20536,x20537,x20538,x20532,x20539)) % 199.88/201.02 [2054]~E(x20541,x20542)+E(f814(x20543,x20544,x20545,x20546,x20547,x20548,x20549,x20541),f814(x20543,x20544,x20545,x20546,x20547,x20548,x20549,x20542)) % 199.88/201.02 [2055]~E(x20551,x20552)+E(f228(x20551,x20553),f228(x20552,x20553)) % 199.88/201.02 [2056]~E(x20561,x20562)+E(f228(x20563,x20561),f228(x20563,x20562)) % 199.88/201.02 [2057]~E(x20571,x20572)+E(f819(x20571,x20573,x20574,x20575,x20576,x20577,x20578),f819(x20572,x20573,x20574,x20575,x20576,x20577,x20578)) % 199.88/201.02 [2058]~E(x20581,x20582)+E(f819(x20583,x20581,x20584,x20585,x20586,x20587,x20588),f819(x20583,x20582,x20584,x20585,x20586,x20587,x20588)) % 199.88/201.02 [2059]~E(x20591,x20592)+E(f819(x20593,x20594,x20591,x20595,x20596,x20597,x20598),f819(x20593,x20594,x20592,x20595,x20596,x20597,x20598)) % 199.88/201.02 [2060]~E(x20601,x20602)+E(f819(x20603,x20604,x20605,x20601,x20606,x20607,x20608),f819(x20603,x20604,x20605,x20602,x20606,x20607,x20608)) % 199.88/201.02 [2061]~E(x20611,x20612)+E(f819(x20613,x20614,x20615,x20616,x20611,x20617,x20618),f819(x20613,x20614,x20615,x20616,x20612,x20617,x20618)) % 199.88/201.02 [2062]~E(x20621,x20622)+E(f819(x20623,x20624,x20625,x20626,x20627,x20621,x20628),f819(x20623,x20624,x20625,x20626,x20627,x20622,x20628)) % 199.88/201.02 [2063]~E(x20631,x20632)+E(f819(x20633,x20634,x20635,x20636,x20637,x20638,x20631),f819(x20633,x20634,x20635,x20636,x20637,x20638,x20632)) % 199.88/201.02 [2064]~E(x20641,x20642)+E(f713(x20641,x20643,x20644,x20645),f713(x20642,x20643,x20644,x20645)) % 199.88/201.02 [2065]~E(x20651,x20652)+E(f713(x20653,x20651,x20654,x20655),f713(x20653,x20652,x20654,x20655)) % 199.88/201.02 [2066]~E(x20661,x20662)+E(f713(x20663,x20664,x20661,x20665),f713(x20663,x20664,x20662,x20665)) % 199.88/201.02 [2067]~E(x20671,x20672)+E(f713(x20673,x20674,x20675,x20671),f713(x20673,x20674,x20675,x20672)) % 199.88/201.02 [2068]~E(x20681,x20682)+E(f263(x20681,x20683,x20684,x20685),f263(x20682,x20683,x20684,x20685)) % 199.88/201.02 [2069]~E(x20691,x20692)+E(f263(x20693,x20691,x20694,x20695),f263(x20693,x20692,x20694,x20695)) % 199.88/201.02 [2070]~E(x20701,x20702)+E(f263(x20703,x20704,x20701,x20705),f263(x20703,x20704,x20702,x20705)) % 199.88/201.02 [2071]~E(x20711,x20712)+E(f263(x20713,x20714,x20715,x20711),f263(x20713,x20714,x20715,x20712)) % 199.88/201.02 [2072]~E(x20721,x20722)+E(f579(x20721,x20723,x20724),f579(x20722,x20723,x20724)) % 199.88/201.02 [2073]~E(x20731,x20732)+E(f579(x20733,x20731,x20734),f579(x20733,x20732,x20734)) % 199.88/201.02 [2074]~E(x20741,x20742)+E(f579(x20743,x20744,x20741),f579(x20743,x20744,x20742)) % 199.88/201.02 [2075]~E(x20751,x20752)+E(f386(x20751,x20753,x20754,x20755),f386(x20752,x20753,x20754,x20755)) % 199.88/201.02 [2076]~E(x20761,x20762)+E(f386(x20763,x20761,x20764,x20765),f386(x20763,x20762,x20764,x20765)) % 199.88/201.02 [2077]~E(x20771,x20772)+E(f386(x20773,x20774,x20771,x20775),f386(x20773,x20774,x20772,x20775)) % 199.88/201.02 [2078]~E(x20781,x20782)+E(f386(x20783,x20784,x20785,x20781),f386(x20783,x20784,x20785,x20782)) % 199.88/201.02 [2079]~E(x20791,x20792)+E(f459(x20791,x20793,x20794,x20795),f459(x20792,x20793,x20794,x20795)) % 199.88/201.02 [2080]~E(x20801,x20802)+E(f459(x20803,x20801,x20804,x20805),f459(x20803,x20802,x20804,x20805)) % 199.88/201.02 [2081]~E(x20811,x20812)+E(f459(x20813,x20814,x20811,x20815),f459(x20813,x20814,x20812,x20815)) % 199.88/201.02 [2082]~E(x20821,x20822)+E(f459(x20823,x20824,x20825,x20821),f459(x20823,x20824,x20825,x20822)) % 199.88/201.02 [2083]~E(x20831,x20832)+E(f379(x20831,x20833),f379(x20832,x20833)) % 199.88/201.02 [2084]~E(x20841,x20842)+E(f379(x20843,x20841),f379(x20843,x20842)) % 199.88/201.02 [2085]~E(x20851,x20852)+E(f601(x20851,x20853),f601(x20852,x20853)) % 199.88/201.02 [2086]~E(x20861,x20862)+E(f601(x20863,x20861),f601(x20863,x20862)) % 199.88/201.02 [2087]~E(x20871,x20872)+E(f255(x20871,x20873,x20874),f255(x20872,x20873,x20874)) % 199.88/201.02 [2088]~E(x20881,x20882)+E(f255(x20883,x20881,x20884),f255(x20883,x20882,x20884)) % 199.88/201.02 [2089]~E(x20891,x20892)+E(f255(x20893,x20894,x20891),f255(x20893,x20894,x20892)) % 199.88/201.02 [2090]~E(x20901,x20902)+E(f188(x20901,x20903,x20904,x20905),f188(x20902,x20903,x20904,x20905)) % 199.88/201.02 [2091]~E(x20911,x20912)+E(f188(x20913,x20911,x20914,x20915),f188(x20913,x20912,x20914,x20915)) % 199.88/201.02 [2092]~E(x20921,x20922)+E(f188(x20923,x20924,x20921,x20925),f188(x20923,x20924,x20922,x20925)) % 199.88/201.02 [2093]~E(x20931,x20932)+E(f188(x20933,x20934,x20935,x20931),f188(x20933,x20934,x20935,x20932)) % 199.88/201.02 [2094]~E(x20941,x20942)+E(f704(x20941,x20943),f704(x20942,x20943)) % 199.88/201.02 [2095]~E(x20951,x20952)+E(f704(x20953,x20951),f704(x20953,x20952)) % 199.88/201.02 [2096]~E(x20961,x20962)+E(f352(x20961,x20963),f352(x20962,x20963)) % 199.88/201.02 [2097]~E(x20971,x20972)+E(f352(x20973,x20971),f352(x20973,x20972)) % 199.88/201.02 [2098]~E(x20981,x20982)+E(f696(x20981,x20983,x20984),f696(x20982,x20983,x20984)) % 199.88/201.02 [2099]~E(x20991,x20992)+E(f696(x20993,x20991,x20994),f696(x20993,x20992,x20994)) % 199.88/201.02 [2100]~E(x21001,x21002)+E(f696(x21003,x21004,x21001),f696(x21003,x21004,x21002)) % 199.88/201.02 [2101]~E(x21011,x21012)+E(f400(x21011,x21013,x21014,x21015),f400(x21012,x21013,x21014,x21015)) % 199.88/201.02 [2102]~E(x21021,x21022)+E(f400(x21023,x21021,x21024,x21025),f400(x21023,x21022,x21024,x21025)) % 199.88/201.02 [2103]~E(x21031,x21032)+E(f400(x21033,x21034,x21031,x21035),f400(x21033,x21034,x21032,x21035)) % 199.88/201.02 [2104]~E(x21041,x21042)+E(f400(x21043,x21044,x21045,x21041),f400(x21043,x21044,x21045,x21042)) % 199.88/201.02 [2105]~E(x21051,x21052)+E(f368(x21051,x21053,x21054,x21055,x21056),f368(x21052,x21053,x21054,x21055,x21056)) % 199.88/201.02 [2106]~E(x21061,x21062)+E(f368(x21063,x21061,x21064,x21065,x21066),f368(x21063,x21062,x21064,x21065,x21066)) % 199.88/201.02 [2107]~E(x21071,x21072)+E(f368(x21073,x21074,x21071,x21075,x21076),f368(x21073,x21074,x21072,x21075,x21076)) % 199.88/201.02 [2108]~E(x21081,x21082)+E(f368(x21083,x21084,x21085,x21081,x21086),f368(x21083,x21084,x21085,x21082,x21086)) % 199.88/201.02 [2109]~E(x21091,x21092)+E(f368(x21093,x21094,x21095,x21096,x21091),f368(x21093,x21094,x21095,x21096,x21092)) % 199.88/201.02 [2110]~E(x21101,x21102)+E(f215(x21101,x21103,x21104,x21105,x21106),f215(x21102,x21103,x21104,x21105,x21106)) % 199.88/201.02 [2111]~E(x21111,x21112)+E(f215(x21113,x21111,x21114,x21115,x21116),f215(x21113,x21112,x21114,x21115,x21116)) % 199.88/201.02 [2112]~E(x21121,x21122)+E(f215(x21123,x21124,x21121,x21125,x21126),f215(x21123,x21124,x21122,x21125,x21126)) % 199.88/201.02 [2113]~E(x21131,x21132)+E(f215(x21133,x21134,x21135,x21131,x21136),f215(x21133,x21134,x21135,x21132,x21136)) % 199.88/201.02 [2114]~E(x21141,x21142)+E(f215(x21143,x21144,x21145,x21146,x21141),f215(x21143,x21144,x21145,x21146,x21142)) % 199.88/201.02 [2115]~E(x21151,x21152)+E(f879(x21151,x21153,x21154),f879(x21152,x21153,x21154)) % 199.88/201.02 [2116]~E(x21161,x21162)+E(f879(x21163,x21161,x21164),f879(x21163,x21162,x21164)) % 199.88/201.02 [2117]~E(x21171,x21172)+E(f879(x21173,x21174,x21171),f879(x21173,x21174,x21172)) % 199.88/201.02 [2118]~E(x21181,x21182)+E(f236(x21181,x21183,x21184,x21185,x21186,x21187),f236(x21182,x21183,x21184,x21185,x21186,x21187)) % 199.88/201.02 [2119]~E(x21191,x21192)+E(f236(x21193,x21191,x21194,x21195,x21196,x21197),f236(x21193,x21192,x21194,x21195,x21196,x21197)) % 199.88/201.02 [2120]~E(x21201,x21202)+E(f236(x21203,x21204,x21201,x21205,x21206,x21207),f236(x21203,x21204,x21202,x21205,x21206,x21207)) % 199.88/201.02 [2121]~E(x21211,x21212)+E(f236(x21213,x21214,x21215,x21211,x21216,x21217),f236(x21213,x21214,x21215,x21212,x21216,x21217)) % 199.88/201.02 [2122]~E(x21221,x21222)+E(f236(x21223,x21224,x21225,x21226,x21221,x21227),f236(x21223,x21224,x21225,x21226,x21222,x21227)) % 199.88/201.02 [2123]~E(x21231,x21232)+E(f236(x21233,x21234,x21235,x21236,x21237,x21231),f236(x21233,x21234,x21235,x21236,x21237,x21232)) % 199.88/201.02 [2124]~E(x21241,x21242)+E(f139(x21241,x21243,x21244,x21245,x21246),f139(x21242,x21243,x21244,x21245,x21246)) % 199.88/201.02 [2125]~E(x21251,x21252)+E(f139(x21253,x21251,x21254,x21255,x21256),f139(x21253,x21252,x21254,x21255,x21256)) % 199.88/201.02 [2126]~E(x21261,x21262)+E(f139(x21263,x21264,x21261,x21265,x21266),f139(x21263,x21264,x21262,x21265,x21266)) % 199.88/201.02 [2127]~E(x21271,x21272)+E(f139(x21273,x21274,x21275,x21271,x21276),f139(x21273,x21274,x21275,x21272,x21276)) % 199.88/201.02 [2128]~E(x21281,x21282)+E(f139(x21283,x21284,x21285,x21286,x21281),f139(x21283,x21284,x21285,x21286,x21282)) % 199.88/201.02 [2129]~E(x21291,x21292)+E(f61(x21291,x21293,x21294),f61(x21292,x21293,x21294)) % 199.88/201.02 [2130]~E(x21301,x21302)+E(f61(x21303,x21301,x21304),f61(x21303,x21302,x21304)) % 199.88/201.02 [2131]~E(x21311,x21312)+E(f61(x21313,x21314,x21311),f61(x21313,x21314,x21312)) % 199.88/201.02 [2132]~E(x21321,x21322)+E(f820(x21321,x21323),f820(x21322,x21323)) % 199.88/201.02 [2133]~E(x21331,x21332)+E(f820(x21333,x21331),f820(x21333,x21332)) % 199.88/201.02 [2134]~E(x21341,x21342)+E(f732(x21341,x21343,x21344),f732(x21342,x21343,x21344)) % 199.88/201.02 [2135]~E(x21351,x21352)+E(f732(x21353,x21351,x21354),f732(x21353,x21352,x21354)) % 199.88/201.02 [2136]~E(x21361,x21362)+E(f732(x21363,x21364,x21361),f732(x21363,x21364,x21362)) % 199.88/201.02 [2137]~E(x21371,x21372)+E(f877(x21371,x21373),f877(x21372,x21373)) % 199.88/201.02 [2138]~E(x21381,x21382)+E(f877(x21383,x21381),f877(x21383,x21382)) % 199.88/201.02 [2139]~E(x21391,x21392)+E(f398(x21391,x21393,x21394,x21395),f398(x21392,x21393,x21394,x21395)) % 199.88/201.02 [2140]~E(x21401,x21402)+E(f398(x21403,x21401,x21404,x21405),f398(x21403,x21402,x21404,x21405)) % 199.88/201.02 [2141]~E(x21411,x21412)+E(f398(x21413,x21414,x21411,x21415),f398(x21413,x21414,x21412,x21415)) % 199.88/201.02 [2142]~E(x21421,x21422)+E(f398(x21423,x21424,x21425,x21421),f398(x21423,x21424,x21425,x21422)) % 199.88/201.02 [2143]~E(x21431,x21432)+E(f824(x21431,x21433,x21434,x21435,x21436,x21437,x21438,x21439),f824(x21432,x21433,x21434,x21435,x21436,x21437,x21438,x21439)) % 199.88/201.02 [2144]~E(x21441,x21442)+E(f824(x21443,x21441,x21444,x21445,x21446,x21447,x21448,x21449),f824(x21443,x21442,x21444,x21445,x21446,x21447,x21448,x21449)) % 199.88/201.02 [2145]~E(x21451,x21452)+E(f824(x21453,x21454,x21451,x21455,x21456,x21457,x21458,x21459),f824(x21453,x21454,x21452,x21455,x21456,x21457,x21458,x21459)) % 199.88/201.02 [2146]~E(x21461,x21462)+E(f824(x21463,x21464,x21465,x21461,x21466,x21467,x21468,x21469),f824(x21463,x21464,x21465,x21462,x21466,x21467,x21468,x21469)) % 199.88/201.02 [2147]~E(x21471,x21472)+E(f824(x21473,x21474,x21475,x21476,x21471,x21477,x21478,x21479),f824(x21473,x21474,x21475,x21476,x21472,x21477,x21478,x21479)) % 199.88/201.02 [2148]~E(x21481,x21482)+E(f824(x21483,x21484,x21485,x21486,x21487,x21481,x21488,x21489),f824(x21483,x21484,x21485,x21486,x21487,x21482,x21488,x21489)) % 199.88/201.02 [2149]~E(x21491,x21492)+E(f824(x21493,x21494,x21495,x21496,x21497,x21498,x21491,x21499),f824(x21493,x21494,x21495,x21496,x21497,x21498,x21492,x21499)) % 199.88/201.02 [2150]~E(x21501,x21502)+E(f824(x21503,x21504,x21505,x21506,x21507,x21508,x21509,x21501),f824(x21503,x21504,x21505,x21506,x21507,x21508,x21509,x21502)) % 199.88/201.02 [2151]~E(x21511,x21512)+E(f483(x21511,x21513,x21514,x21515,x21516),f483(x21512,x21513,x21514,x21515,x21516)) % 199.88/201.02 [2152]~E(x21521,x21522)+E(f483(x21523,x21521,x21524,x21525,x21526),f483(x21523,x21522,x21524,x21525,x21526)) % 199.88/201.02 [2153]~E(x21531,x21532)+E(f483(x21533,x21534,x21531,x21535,x21536),f483(x21533,x21534,x21532,x21535,x21536)) % 199.88/201.02 [2154]~E(x21541,x21542)+E(f483(x21543,x21544,x21545,x21541,x21546),f483(x21543,x21544,x21545,x21542,x21546)) % 199.88/201.02 [2155]~E(x21551,x21552)+E(f483(x21553,x21554,x21555,x21556,x21551),f483(x21553,x21554,x21555,x21556,x21552)) % 199.88/201.02 [2156]~E(x21561,x21562)+E(f482(x21561,x21563,x21564,x21565),f482(x21562,x21563,x21564,x21565)) % 199.88/201.02 [2157]~E(x21571,x21572)+E(f482(x21573,x21571,x21574,x21575),f482(x21573,x21572,x21574,x21575)) % 199.88/201.02 [2158]~E(x21581,x21582)+E(f482(x21583,x21584,x21581,x21585),f482(x21583,x21584,x21582,x21585)) % 199.88/201.02 [2159]~E(x21591,x21592)+E(f482(x21593,x21594,x21595,x21591),f482(x21593,x21594,x21595,x21592)) % 199.88/201.02 [2160]~E(x21601,x21602)+E(f353(x21601,x21603),f353(x21602,x21603)) % 199.88/201.02 [2161]~E(x21611,x21612)+E(f353(x21613,x21611),f353(x21613,x21612)) % 199.88/201.02 [2162]~E(x21621,x21622)+E(f380(x21621,x21623,x21624),f380(x21622,x21623,x21624)) % 199.88/201.02 [2163]~E(x21631,x21632)+E(f380(x21633,x21631,x21634),f380(x21633,x21632,x21634)) % 199.88/201.02 [2164]~E(x21641,x21642)+E(f380(x21643,x21644,x21641),f380(x21643,x21644,x21642)) % 199.88/201.02 [2165]~E(x21651,x21652)+E(f445(x21651,x21653,x21654,x21655,x21656),f445(x21652,x21653,x21654,x21655,x21656)) % 199.88/201.02 [2166]~E(x21661,x21662)+E(f445(x21663,x21661,x21664,x21665,x21666),f445(x21663,x21662,x21664,x21665,x21666)) % 199.88/201.02 [2167]~E(x21671,x21672)+E(f445(x21673,x21674,x21671,x21675,x21676),f445(x21673,x21674,x21672,x21675,x21676)) % 199.88/201.02 [2168]~E(x21681,x21682)+E(f445(x21683,x21684,x21685,x21681,x21686),f445(x21683,x21684,x21685,x21682,x21686)) % 199.88/201.02 [2169]~E(x21691,x21692)+E(f445(x21693,x21694,x21695,x21696,x21691),f445(x21693,x21694,x21695,x21696,x21692)) % 199.88/201.02 [2170]~E(x21701,x21702)+E(f570(x21701,x21703,x21704,x21705),f570(x21702,x21703,x21704,x21705)) % 199.88/201.02 [2171]~E(x21711,x21712)+E(f570(x21713,x21711,x21714,x21715),f570(x21713,x21712,x21714,x21715)) % 199.88/201.02 [2172]~E(x21721,x21722)+E(f570(x21723,x21724,x21721,x21725),f570(x21723,x21724,x21722,x21725)) % 199.88/201.02 [2173]~E(x21731,x21732)+E(f570(x21733,x21734,x21735,x21731),f570(x21733,x21734,x21735,x21732)) % 199.88/201.02 [2174]~E(x21741,x21742)+E(f501(x21741),f501(x21742)) % 199.88/201.02 [2175]~E(x21751,x21752)+E(f836(x21751),f836(x21752)) % 199.88/201.02 [2176]~E(x21761,x21762)+E(f891(x21761,x21763,x21764),f891(x21762,x21763,x21764)) % 199.88/201.02 [2177]~E(x21771,x21772)+E(f891(x21773,x21771,x21774),f891(x21773,x21772,x21774)) % 199.88/201.02 [2178]~E(x21781,x21782)+E(f891(x21783,x21784,x21781),f891(x21783,x21784,x21782)) % 199.88/201.02 [2179]~E(x21791,x21792)+E(f653(x21791,x21793,x21794),f653(x21792,x21793,x21794)) % 199.88/201.02 [2180]~E(x21801,x21802)+E(f653(x21803,x21801,x21804),f653(x21803,x21802,x21804)) % 199.88/201.02 [2181]~E(x21811,x21812)+E(f653(x21813,x21814,x21811),f653(x21813,x21814,x21812)) % 199.88/201.02 [2182]~E(x21821,x21822)+E(f463(x21821,x21823,x21824,x21825,x21826),f463(x21822,x21823,x21824,x21825,x21826)) % 199.88/201.02 [2183]~E(x21831,x21832)+E(f463(x21833,x21831,x21834,x21835,x21836),f463(x21833,x21832,x21834,x21835,x21836)) % 199.88/201.02 [2184]~E(x21841,x21842)+E(f463(x21843,x21844,x21841,x21845,x21846),f463(x21843,x21844,x21842,x21845,x21846)) % 199.88/201.02 [2185]~E(x21851,x21852)+E(f463(x21853,x21854,x21855,x21851,x21856),f463(x21853,x21854,x21855,x21852,x21856)) % 199.88/201.02 [2186]~E(x21861,x21862)+E(f463(x21863,x21864,x21865,x21866,x21861),f463(x21863,x21864,x21865,x21866,x21862)) % 199.88/201.02 [2187]~E(x21871,x21872)+E(f508(x21871,x21873,x21874,x21875,x21876,x21877),f508(x21872,x21873,x21874,x21875,x21876,x21877)) % 199.88/201.02 [2188]~E(x21881,x21882)+E(f508(x21883,x21881,x21884,x21885,x21886,x21887),f508(x21883,x21882,x21884,x21885,x21886,x21887)) % 199.88/201.02 [2189]~E(x21891,x21892)+E(f508(x21893,x21894,x21891,x21895,x21896,x21897),f508(x21893,x21894,x21892,x21895,x21896,x21897)) % 199.88/201.02 [2190]~E(x21901,x21902)+E(f508(x21903,x21904,x21905,x21901,x21906,x21907),f508(x21903,x21904,x21905,x21902,x21906,x21907)) % 199.88/201.02 [2191]~E(x21911,x21912)+E(f508(x21913,x21914,x21915,x21916,x21911,x21917),f508(x21913,x21914,x21915,x21916,x21912,x21917)) % 199.88/201.02 [2192]~E(x21921,x21922)+E(f508(x21923,x21924,x21925,x21926,x21927,x21921),f508(x21923,x21924,x21925,x21926,x21927,x21922)) % 199.88/201.02 [2193]~E(x21931,x21932)+E(f637(x21931,x21933,x21934),f637(x21932,x21933,x21934)) % 199.88/201.02 [2194]~E(x21941,x21942)+E(f637(x21943,x21941,x21944),f637(x21943,x21942,x21944)) % 199.88/201.02 [2195]~E(x21951,x21952)+E(f637(x21953,x21954,x21951),f637(x21953,x21954,x21952)) % 199.88/201.02 [2196]~E(x21961,x21962)+E(f62(x21961,x21963,x21964),f62(x21962,x21963,x21964)) % 199.88/201.02 [2197]~E(x21971,x21972)+E(f62(x21973,x21971,x21974),f62(x21973,x21972,x21974)) % 199.88/201.02 [2198]~E(x21981,x21982)+E(f62(x21983,x21984,x21981),f62(x21983,x21984,x21982)) % 199.88/201.02 [2199]~E(x21991,x21992)+E(f460(x21991,x21993,x21994,x21995),f460(x21992,x21993,x21994,x21995)) % 199.88/201.02 [2200]~E(x22001,x22002)+E(f460(x22003,x22001,x22004,x22005),f460(x22003,x22002,x22004,x22005)) % 199.88/201.02 [2201]~E(x22011,x22012)+E(f460(x22013,x22014,x22011,x22015),f460(x22013,x22014,x22012,x22015)) % 199.88/201.02 [2202]~E(x22021,x22022)+E(f460(x22023,x22024,x22025,x22021),f460(x22023,x22024,x22025,x22022)) % 199.88/201.02 [2203]~E(x22031,x22032)+E(f738(x22031,x22033),f738(x22032,x22033)) % 199.88/201.02 [2204]~E(x22041,x22042)+E(f738(x22043,x22041),f738(x22043,x22042)) % 199.88/201.02 [2205]~E(x22051,x22052)+E(f469(x22051,x22053,x22054,x22055,x22056),f469(x22052,x22053,x22054,x22055,x22056)) % 199.88/201.02 [2206]~E(x22061,x22062)+E(f469(x22063,x22061,x22064,x22065,x22066),f469(x22063,x22062,x22064,x22065,x22066)) % 199.88/201.02 [2207]~E(x22071,x22072)+E(f469(x22073,x22074,x22071,x22075,x22076),f469(x22073,x22074,x22072,x22075,x22076)) % 199.88/201.02 [2208]~E(x22081,x22082)+E(f469(x22083,x22084,x22085,x22081,x22086),f469(x22083,x22084,x22085,x22082,x22086)) % 199.88/201.02 [2209]~E(x22091,x22092)+E(f469(x22093,x22094,x22095,x22096,x22091),f469(x22093,x22094,x22095,x22096,x22092)) % 199.88/201.02 [2210]~E(x22101,x22102)+E(f767(x22101,x22103,x22104,x22105,x22106,x22107,x22108),f767(x22102,x22103,x22104,x22105,x22106,x22107,x22108)) % 199.88/201.02 [2211]~E(x22111,x22112)+E(f767(x22113,x22111,x22114,x22115,x22116,x22117,x22118),f767(x22113,x22112,x22114,x22115,x22116,x22117,x22118)) % 199.88/201.02 [2212]~E(x22121,x22122)+E(f767(x22123,x22124,x22121,x22125,x22126,x22127,x22128),f767(x22123,x22124,x22122,x22125,x22126,x22127,x22128)) % 199.88/201.02 [2213]~E(x22131,x22132)+E(f767(x22133,x22134,x22135,x22131,x22136,x22137,x22138),f767(x22133,x22134,x22135,x22132,x22136,x22137,x22138)) % 199.88/201.02 [2214]~E(x22141,x22142)+E(f767(x22143,x22144,x22145,x22146,x22141,x22147,x22148),f767(x22143,x22144,x22145,x22146,x22142,x22147,x22148)) % 199.88/201.02 [2215]~E(x22151,x22152)+E(f767(x22153,x22154,x22155,x22156,x22157,x22151,x22158),f767(x22153,x22154,x22155,x22156,x22157,x22152,x22158)) % 199.88/201.02 [2216]~E(x22161,x22162)+E(f767(x22163,x22164,x22165,x22166,x22167,x22168,x22161),f767(x22163,x22164,x22165,x22166,x22167,x22168,x22162)) % 199.88/201.02 [2217]~E(x22171,x22172)+E(f366(x22171,x22173,x22174,x22175,x22176),f366(x22172,x22173,x22174,x22175,x22176)) % 199.88/201.02 [2218]~E(x22181,x22182)+E(f366(x22183,x22181,x22184,x22185,x22186),f366(x22183,x22182,x22184,x22185,x22186)) % 199.88/201.02 [2219]~E(x22191,x22192)+E(f366(x22193,x22194,x22191,x22195,x22196),f366(x22193,x22194,x22192,x22195,x22196)) % 199.88/201.02 [2220]~E(x22201,x22202)+E(f366(x22203,x22204,x22205,x22201,x22206),f366(x22203,x22204,x22205,x22202,x22206)) % 199.88/201.02 [2221]~E(x22211,x22212)+E(f366(x22213,x22214,x22215,x22216,x22211),f366(x22213,x22214,x22215,x22216,x22212)) % 199.88/201.02 [2222]~E(x22221,x22222)+E(f889(x22221,x22223,x22224),f889(x22222,x22223,x22224)) % 199.88/201.02 [2223]~E(x22231,x22232)+E(f889(x22233,x22231,x22234),f889(x22233,x22232,x22234)) % 199.88/201.02 [2224]~E(x22241,x22242)+E(f889(x22243,x22244,x22241),f889(x22243,x22244,x22242)) % 199.88/201.02 [2225]~E(x22251,x22252)+E(f323(x22251),f323(x22252)) % 199.88/201.02 [2226]~E(x22261,x22262)+E(f721(x22261,x22263,x22264,x22265,x22266),f721(x22262,x22263,x22264,x22265,x22266)) % 199.88/201.02 [2227]~E(x22271,x22272)+E(f721(x22273,x22271,x22274,x22275,x22276),f721(x22273,x22272,x22274,x22275,x22276)) % 199.88/201.02 [2228]~E(x22281,x22282)+E(f721(x22283,x22284,x22281,x22285,x22286),f721(x22283,x22284,x22282,x22285,x22286)) % 199.88/201.02 [2229]~E(x22291,x22292)+E(f721(x22293,x22294,x22295,x22291,x22296),f721(x22293,x22294,x22295,x22292,x22296)) % 199.88/201.02 [2230]~E(x22301,x22302)+E(f721(x22303,x22304,x22305,x22306,x22301),f721(x22303,x22304,x22305,x22306,x22302)) % 199.88/201.02 [2231]~E(x22311,x22312)+E(f372(x22311,x22313,x22314,x22315,x22316),f372(x22312,x22313,x22314,x22315,x22316)) % 199.88/201.02 [2232]~E(x22321,x22322)+E(f372(x22323,x22321,x22324,x22325,x22326),f372(x22323,x22322,x22324,x22325,x22326)) % 199.88/201.02 [2233]~E(x22331,x22332)+E(f372(x22333,x22334,x22331,x22335,x22336),f372(x22333,x22334,x22332,x22335,x22336)) % 199.88/201.02 [2234]~E(x22341,x22342)+E(f372(x22343,x22344,x22345,x22341,x22346),f372(x22343,x22344,x22345,x22342,x22346)) % 199.88/201.02 [2235]~E(x22351,x22352)+E(f372(x22353,x22354,x22355,x22356,x22351),f372(x22353,x22354,x22355,x22356,x22352)) % 199.88/201.02 [2236]~E(x22361,x22362)+E(f371(x22361,x22363,x22364,x22365,x22366),f371(x22362,x22363,x22364,x22365,x22366)) % 199.88/201.02 [2237]~E(x22371,x22372)+E(f371(x22373,x22371,x22374,x22375,x22376),f371(x22373,x22372,x22374,x22375,x22376)) % 199.88/201.02 [2238]~E(x22381,x22382)+E(f371(x22383,x22384,x22381,x22385,x22386),f371(x22383,x22384,x22382,x22385,x22386)) % 199.88/201.02 [2239]~E(x22391,x22392)+E(f371(x22393,x22394,x22395,x22391,x22396),f371(x22393,x22394,x22395,x22392,x22396)) % 199.88/201.02 [2240]~E(x22401,x22402)+E(f371(x22403,x22404,x22405,x22406,x22401),f371(x22403,x22404,x22405,x22406,x22402)) % 199.88/201.02 [2241]~E(x22411,x22412)+E(f869(x22411,x22413,x22414),f869(x22412,x22413,x22414)) % 199.88/201.02 [2242]~E(x22421,x22422)+E(f869(x22423,x22421,x22424),f869(x22423,x22422,x22424)) % 199.88/201.02 [2243]~E(x22431,x22432)+E(f869(x22433,x22434,x22431),f869(x22433,x22434,x22432)) % 199.88/201.02 [2244]~E(x22441,x22442)+E(f534(x22441,x22443),f534(x22442,x22443)) % 199.88/201.02 [2245]~E(x22451,x22452)+E(f534(x22453,x22451),f534(x22453,x22452)) % 199.88/201.02 [2246]~E(x22461,x22462)+E(f853(x22461),f853(x22462)) % 199.88/201.02 [2247]~E(x22471,x22472)+E(f632(x22471,x22473,x22474),f632(x22472,x22473,x22474)) % 199.88/201.02 [2248]~E(x22481,x22482)+E(f632(x22483,x22481,x22484),f632(x22483,x22482,x22484)) % 199.88/201.02 [2249]~E(x22491,x22492)+E(f632(x22493,x22494,x22491),f632(x22493,x22494,x22492)) % 199.88/201.02 [2250]~E(x22501,x22502)+E(f812(x22501,x22503,x22504),f812(x22502,x22503,x22504)) % 199.88/201.02 [2251]~E(x22511,x22512)+E(f812(x22513,x22511,x22514),f812(x22513,x22512,x22514)) % 199.88/201.02 [2252]~E(x22521,x22522)+E(f812(x22523,x22524,x22521),f812(x22523,x22524,x22522)) % 199.88/201.02 [2253]~E(x22531,x22532)+E(f651(x22531,x22533,x22534),f651(x22532,x22533,x22534)) % 199.88/201.02 [2254]~E(x22541,x22542)+E(f651(x22543,x22541,x22544),f651(x22543,x22542,x22544)) % 199.88/201.02 [2255]~E(x22551,x22552)+E(f651(x22553,x22554,x22551),f651(x22553,x22554,x22552)) % 199.88/201.02 [2256]~E(x22561,x22562)+E(f455(x22561,x22563,x22564,x22565,x22566),f455(x22562,x22563,x22564,x22565,x22566)) % 199.88/201.02 [2257]~E(x22571,x22572)+E(f455(x22573,x22571,x22574,x22575,x22576),f455(x22573,x22572,x22574,x22575,x22576)) % 199.88/201.02 [2258]~E(x22581,x22582)+E(f455(x22583,x22584,x22581,x22585,x22586),f455(x22583,x22584,x22582,x22585,x22586)) % 199.88/201.02 [2259]~E(x22591,x22592)+E(f455(x22593,x22594,x22595,x22591,x22596),f455(x22593,x22594,x22595,x22592,x22596)) % 199.88/201.02 [2260]~E(x22601,x22602)+E(f455(x22603,x22604,x22605,x22606,x22601),f455(x22603,x22604,x22605,x22606,x22602)) % 199.88/201.02 [2261]~E(x22611,x22612)+E(f446(x22611,x22613,x22614,x22615,x22616),f446(x22612,x22613,x22614,x22615,x22616)) % 199.88/201.02 [2262]~E(x22621,x22622)+E(f446(x22623,x22621,x22624,x22625,x22626),f446(x22623,x22622,x22624,x22625,x22626)) % 199.88/201.02 [2263]~E(x22631,x22632)+E(f446(x22633,x22634,x22631,x22635,x22636),f446(x22633,x22634,x22632,x22635,x22636)) % 199.88/201.02 [2264]~E(x22641,x22642)+E(f446(x22643,x22644,x22645,x22641,x22646),f446(x22643,x22644,x22645,x22642,x22646)) % 199.88/201.02 [2265]~E(x22651,x22652)+E(f446(x22653,x22654,x22655,x22656,x22651),f446(x22653,x22654,x22655,x22656,x22652)) % 199.88/201.02 [2266]~E(x22661,x22662)+E(f808(x22661,x22663,x22664,x22665),f808(x22662,x22663,x22664,x22665)) % 199.88/201.02 [2267]~E(x22671,x22672)+E(f808(x22673,x22671,x22674,x22675),f808(x22673,x22672,x22674,x22675)) % 199.88/201.02 [2268]~E(x22681,x22682)+E(f808(x22683,x22684,x22681,x22685),f808(x22683,x22684,x22682,x22685)) % 199.88/201.02 [2269]~E(x22691,x22692)+E(f808(x22693,x22694,x22695,x22691),f808(x22693,x22694,x22695,x22692)) % 199.88/201.02 [2270]~E(x22701,x22702)+E(f412(x22701,x22703,x22704),f412(x22702,x22703,x22704)) % 199.88/201.02 [2271]~E(x22711,x22712)+E(f412(x22713,x22711,x22714),f412(x22713,x22712,x22714)) % 199.88/201.02 [2272]~E(x22721,x22722)+E(f412(x22723,x22724,x22721),f412(x22723,x22724,x22722)) % 199.88/201.02 [2273]~E(x22731,x22732)+E(f599(x22731,x22733),f599(x22732,x22733)) % 199.88/201.02 [2274]~E(x22741,x22742)+E(f599(x22743,x22741),f599(x22743,x22742)) % 199.88/201.02 [2275]~E(x22751,x22752)+E(f863(x22751,x22753,x22754),f863(x22752,x22753,x22754)) % 199.88/201.02 [2276]~E(x22761,x22762)+E(f863(x22763,x22761,x22764),f863(x22763,x22762,x22764)) % 199.88/201.02 [2277]~E(x22771,x22772)+E(f863(x22773,x22774,x22771),f863(x22773,x22774,x22772)) % 199.88/201.02 [2278]~E(x22781,x22782)+E(f773(x22781,x22783,x22784),f773(x22782,x22783,x22784)) % 199.88/201.02 [2279]~E(x22791,x22792)+E(f773(x22793,x22791,x22794),f773(x22793,x22792,x22794)) % 199.88/201.02 [2280]~E(x22801,x22802)+E(f773(x22803,x22804,x22801),f773(x22803,x22804,x22802)) % 199.88/201.02 [2281]~E(x22811,x22812)+E(f524(x22811,x22813,x22814,x22815),f524(x22812,x22813,x22814,x22815)) % 199.88/201.02 [2282]~E(x22821,x22822)+E(f524(x22823,x22821,x22824,x22825),f524(x22823,x22822,x22824,x22825)) % 199.88/201.02 [2283]~E(x22831,x22832)+E(f524(x22833,x22834,x22831,x22835),f524(x22833,x22834,x22832,x22835)) % 199.88/201.02 [2284]~E(x22841,x22842)+E(f524(x22843,x22844,x22845,x22841),f524(x22843,x22844,x22845,x22842)) % 199.88/201.02 [2285]~E(x22851,x22852)+E(f475(x22851),f475(x22852)) % 199.88/201.02 [2286]~E(x22861,x22862)+E(f649(x22861,x22863,x22864),f649(x22862,x22863,x22864)) % 199.88/201.02 [2287]~E(x22871,x22872)+E(f649(x22873,x22871,x22874),f649(x22873,x22872,x22874)) % 199.88/201.02 [2288]~E(x22881,x22882)+E(f649(x22883,x22884,x22881),f649(x22883,x22884,x22882)) % 199.88/201.02 [2289]~E(x22891,x22892)+E(f872(x22891,x22893,x22894),f872(x22892,x22893,x22894)) % 199.88/201.02 [2290]~E(x22901,x22902)+E(f872(x22903,x22901,x22904),f872(x22903,x22902,x22904)) % 199.88/201.02 [2291]~E(x22911,x22912)+E(f872(x22913,x22914,x22911),f872(x22913,x22914,x22912)) % 199.88/201.02 [2292]~E(x22921,x22922)+E(f493(x22921,x22923,x22924),f493(x22922,x22923,x22924)) % 199.88/201.02 [2293]~E(x22931,x22932)+E(f493(x22933,x22931,x22934),f493(x22933,x22932,x22934)) % 199.88/201.02 [2294]~E(x22941,x22942)+E(f493(x22943,x22944,x22941),f493(x22943,x22944,x22942)) % 199.88/201.02 [2295]~E(x22951,x22952)+E(f852(x22951),f852(x22952)) % 199.88/201.02 [2296]~E(x22961,x22962)+E(f658(x22961,x22963,x22964,x22965,x22966),f658(x22962,x22963,x22964,x22965,x22966)) % 199.88/201.02 [2297]~E(x22971,x22972)+E(f658(x22973,x22971,x22974,x22975,x22976),f658(x22973,x22972,x22974,x22975,x22976)) % 199.88/201.02 [2298]~E(x22981,x22982)+E(f658(x22983,x22984,x22981,x22985,x22986),f658(x22983,x22984,x22982,x22985,x22986)) % 199.88/201.02 [2299]~E(x22991,x22992)+E(f658(x22993,x22994,x22995,x22991,x22996),f658(x22993,x22994,x22995,x22992,x22996)) % 199.88/201.02 [2300]~E(x23001,x23002)+E(f658(x23003,x23004,x23005,x23006,x23001),f658(x23003,x23004,x23005,x23006,x23002)) % 199.88/201.02 [2301]~E(x23011,x23012)+E(f737(x23011,x23013,x23014),f737(x23012,x23013,x23014)) % 199.88/201.02 [2302]~E(x23021,x23022)+E(f737(x23023,x23021,x23024),f737(x23023,x23022,x23024)) % 199.88/201.02 [2303]~E(x23031,x23032)+E(f737(x23033,x23034,x23031),f737(x23033,x23034,x23032)) % 199.88/201.02 [2304]~E(x23041,x23042)+E(f443(x23041,x23043,x23044,x23045,x23046),f443(x23042,x23043,x23044,x23045,x23046)) % 199.88/201.02 [2305]~E(x23051,x23052)+E(f443(x23053,x23051,x23054,x23055,x23056),f443(x23053,x23052,x23054,x23055,x23056)) % 199.88/201.02 [2306]~E(x23061,x23062)+E(f443(x23063,x23064,x23061,x23065,x23066),f443(x23063,x23064,x23062,x23065,x23066)) % 199.88/201.02 [2307]~E(x23071,x23072)+E(f443(x23073,x23074,x23075,x23071,x23076),f443(x23073,x23074,x23075,x23072,x23076)) % 199.88/201.02 [2308]~E(x23081,x23082)+E(f443(x23083,x23084,x23085,x23086,x23081),f443(x23083,x23084,x23085,x23086,x23082)) % 199.88/201.02 [2309]~E(x23091,x23092)+E(f787(x23091),f787(x23092)) % 199.88/201.02 [2310]~E(x23101,x23102)+E(f680(x23101,x23103,x23104,x23105,x23106),f680(x23102,x23103,x23104,x23105,x23106)) % 199.88/201.02 [2311]~E(x23111,x23112)+E(f680(x23113,x23111,x23114,x23115,x23116),f680(x23113,x23112,x23114,x23115,x23116)) % 199.88/201.02 [2312]~E(x23121,x23122)+E(f680(x23123,x23124,x23121,x23125,x23126),f680(x23123,x23124,x23122,x23125,x23126)) % 199.88/201.02 [2313]~E(x23131,x23132)+E(f680(x23133,x23134,x23135,x23131,x23136),f680(x23133,x23134,x23135,x23132,x23136)) % 199.88/201.02 [2314]~E(x23141,x23142)+E(f680(x23143,x23144,x23145,x23146,x23141),f680(x23143,x23144,x23145,x23146,x23142)) % 199.88/201.02 [2315]~E(x23151,x23152)+E(f523(x23151,x23153),f523(x23152,x23153)) % 199.88/201.02 [2316]~E(x23161,x23162)+E(f523(x23163,x23161),f523(x23163,x23162)) % 199.88/201.02 [2317]~E(x23171,x23172)+E(f507(x23171,x23173,x23174,x23175,x23176,x23177),f507(x23172,x23173,x23174,x23175,x23176,x23177)) % 199.88/201.02 [2318]~E(x23181,x23182)+E(f507(x23183,x23181,x23184,x23185,x23186,x23187),f507(x23183,x23182,x23184,x23185,x23186,x23187)) % 199.88/201.02 [2319]~E(x23191,x23192)+E(f507(x23193,x23194,x23191,x23195,x23196,x23197),f507(x23193,x23194,x23192,x23195,x23196,x23197)) % 199.88/201.02 [2320]~E(x23201,x23202)+E(f507(x23203,x23204,x23205,x23201,x23206,x23207),f507(x23203,x23204,x23205,x23202,x23206,x23207)) % 199.88/201.02 [2321]~E(x23211,x23212)+E(f507(x23213,x23214,x23215,x23216,x23211,x23217),f507(x23213,x23214,x23215,x23216,x23212,x23217)) % 199.88/201.02 [2322]~E(x23221,x23222)+E(f507(x23223,x23224,x23225,x23226,x23227,x23221),f507(x23223,x23224,x23225,x23226,x23227,x23222)) % 199.88/201.02 [2323]~E(x23231,x23232)+E(f765(x23231,x23233),f765(x23232,x23233)) % 199.88/201.02 [2324]~E(x23241,x23242)+E(f765(x23243,x23241),f765(x23243,x23242)) % 199.88/201.02 [2325]~E(x23251,x23252)+E(f550(x23251,x23253,x23254,x23255),f550(x23252,x23253,x23254,x23255)) % 199.88/201.02 [2326]~E(x23261,x23262)+E(f550(x23263,x23261,x23264,x23265),f550(x23263,x23262,x23264,x23265)) % 199.88/201.02 [2327]~E(x23271,x23272)+E(f550(x23273,x23274,x23271,x23275),f550(x23273,x23274,x23272,x23275)) % 199.88/201.02 [2328]~E(x23281,x23282)+E(f550(x23283,x23284,x23285,x23281),f550(x23283,x23284,x23285,x23282)) % 199.88/201.02 [2329]~E(x23291,x23292)+E(f816(x23291,x23293,x23294,x23295,x23296,x23297,x23298,x23299),f816(x23292,x23293,x23294,x23295,x23296,x23297,x23298,x23299)) % 199.88/201.02 [2330]~E(x23301,x23302)+E(f816(x23303,x23301,x23304,x23305,x23306,x23307,x23308,x23309),f816(x23303,x23302,x23304,x23305,x23306,x23307,x23308,x23309)) % 199.88/201.02 [2331]~E(x23311,x23312)+E(f816(x23313,x23314,x23311,x23315,x23316,x23317,x23318,x23319),f816(x23313,x23314,x23312,x23315,x23316,x23317,x23318,x23319)) % 199.88/201.02 [2332]~E(x23321,x23322)+E(f816(x23323,x23324,x23325,x23321,x23326,x23327,x23328,x23329),f816(x23323,x23324,x23325,x23322,x23326,x23327,x23328,x23329)) % 199.88/201.02 [2333]~E(x23331,x23332)+E(f816(x23333,x23334,x23335,x23336,x23331,x23337,x23338,x23339),f816(x23333,x23334,x23335,x23336,x23332,x23337,x23338,x23339)) % 199.88/201.02 [2334]~E(x23341,x23342)+E(f816(x23343,x23344,x23345,x23346,x23347,x23341,x23348,x23349),f816(x23343,x23344,x23345,x23346,x23347,x23342,x23348,x23349)) % 199.88/201.02 [2335]~E(x23351,x23352)+E(f816(x23353,x23354,x23355,x23356,x23357,x23358,x23351,x23359),f816(x23353,x23354,x23355,x23356,x23357,x23358,x23352,x23359)) % 199.88/201.02 [2336]~E(x23361,x23362)+E(f816(x23363,x23364,x23365,x23366,x23367,x23368,x23369,x23361),f816(x23363,x23364,x23365,x23366,x23367,x23368,x23369,x23362)) % 199.88/201.02 [2337]~E(x23371,x23372)+E(f834(x23371,x23373,x23374),f834(x23372,x23373,x23374)) % 199.88/201.02 [2338]~E(x23381,x23382)+E(f834(x23383,x23381,x23384),f834(x23383,x23382,x23384)) % 199.88/201.02 [2339]~E(x23391,x23392)+E(f834(x23393,x23394,x23391),f834(x23393,x23394,x23392)) % 199.88/201.02 [2340]~E(x23401,x23402)+E(f849(x23401,x23403,x23404),f849(x23402,x23403,x23404)) % 199.88/201.02 [2341]~E(x23411,x23412)+E(f849(x23413,x23411,x23414),f849(x23413,x23412,x23414)) % 199.88/201.02 [2342]~E(x23421,x23422)+E(f849(x23423,x23424,x23421),f849(x23423,x23424,x23422)) % 199.88/201.02 [2343]~E(x23431,x23432)+E(f302(x23431,x23433),f302(x23432,x23433)) % 199.88/201.02 [2344]~E(x23441,x23442)+E(f302(x23443,x23441),f302(x23443,x23442)) % 199.88/201.02 [2345]~E(x23451,x23452)+E(f200(x23451,x23453,x23454,x23455),f200(x23452,x23453,x23454,x23455)) % 199.88/201.02 [2346]~E(x23461,x23462)+E(f200(x23463,x23461,x23464,x23465),f200(x23463,x23462,x23464,x23465)) % 199.88/201.02 [2347]~E(x23471,x23472)+E(f200(x23473,x23474,x23471,x23475),f200(x23473,x23474,x23472,x23475)) % 199.88/201.02 [2348]~E(x23481,x23482)+E(f200(x23483,x23484,x23485,x23481),f200(x23483,x23484,x23485,x23482)) % 199.88/201.02 [2349]~E(x23491,x23492)+E(f382(x23491,x23493,x23494),f382(x23492,x23493,x23494)) % 199.88/201.02 [2350]~E(x23501,x23502)+E(f382(x23503,x23501,x23504),f382(x23503,x23502,x23504)) % 199.88/201.02 [2351]~E(x23511,x23512)+E(f382(x23513,x23514,x23511),f382(x23513,x23514,x23512)) % 199.88/201.02 [2352]~E(x23521,x23522)+E(f37(x23521),f37(x23522)) % 199.88/201.02 [2353]~E(x23531,x23532)+E(f456(x23531,x23533,x23534,x23535,x23536),f456(x23532,x23533,x23534,x23535,x23536)) % 199.88/201.02 [2354]~E(x23541,x23542)+E(f456(x23543,x23541,x23544,x23545,x23546),f456(x23543,x23542,x23544,x23545,x23546)) % 199.88/201.02 [2355]~E(x23551,x23552)+E(f456(x23553,x23554,x23551,x23555,x23556),f456(x23553,x23554,x23552,x23555,x23556)) % 199.88/201.02 [2356]~E(x23561,x23562)+E(f456(x23563,x23564,x23565,x23561,x23566),f456(x23563,x23564,x23565,x23562,x23566)) % 199.88/201.02 [2357]~E(x23571,x23572)+E(f456(x23573,x23574,x23575,x23576,x23571),f456(x23573,x23574,x23575,x23576,x23572)) % 199.88/201.02 [2358]~E(x23581,x23582)+E(f449(x23581,x23583),f449(x23582,x23583)) % 199.88/201.02 [2359]~E(x23591,x23592)+E(f449(x23593,x23591),f449(x23593,x23592)) % 199.88/201.02 [2360]~E(x23601,x23602)+E(f752(x23601,x23603,x23604,x23605,x23606),f752(x23602,x23603,x23604,x23605,x23606)) % 199.88/201.02 [2361]~E(x23611,x23612)+E(f752(x23613,x23611,x23614,x23615,x23616),f752(x23613,x23612,x23614,x23615,x23616)) % 199.88/201.02 [2362]~E(x23621,x23622)+E(f752(x23623,x23624,x23621,x23625,x23626),f752(x23623,x23624,x23622,x23625,x23626)) % 199.88/201.02 [2363]~E(x23631,x23632)+E(f752(x23633,x23634,x23635,x23631,x23636),f752(x23633,x23634,x23635,x23632,x23636)) % 199.88/201.02 [2364]~E(x23641,x23642)+E(f752(x23643,x23644,x23645,x23646,x23641),f752(x23643,x23644,x23645,x23646,x23642)) % 199.88/201.02 [2365]~E(x23651,x23652)+E(f646(x23651,x23653,x23654,x23655),f646(x23652,x23653,x23654,x23655)) % 199.88/201.02 [2366]~E(x23661,x23662)+E(f646(x23663,x23661,x23664,x23665),f646(x23663,x23662,x23664,x23665)) % 199.88/201.02 [2367]~E(x23671,x23672)+E(f646(x23673,x23674,x23671,x23675),f646(x23673,x23674,x23672,x23675)) % 199.88/201.02 [2368]~E(x23681,x23682)+E(f646(x23683,x23684,x23685,x23681),f646(x23683,x23684,x23685,x23682)) % 199.88/201.02 [2369]~E(x23691,x23692)+E(f803(x23691,x23693),f803(x23692,x23693)) % 199.88/201.02 [2370]~E(x23701,x23702)+E(f803(x23703,x23701),f803(x23703,x23702)) % 199.88/201.02 [2371]~E(x23711,x23712)+E(f268(x23711),f268(x23712)) % 199.88/201.02 [2372]~E(x23721,x23722)+E(f535(x23721,x23723,x23724),f535(x23722,x23723,x23724)) % 199.88/201.02 [2373]~E(x23731,x23732)+E(f535(x23733,x23731,x23734),f535(x23733,x23732,x23734)) % 199.88/201.02 [2374]~E(x23741,x23742)+E(f535(x23743,x23744,x23741),f535(x23743,x23744,x23742)) % 199.88/201.02 [2375]~E(x23751,x23752)+E(f187(x23751,x23753,x23754,x23755),f187(x23752,x23753,x23754,x23755)) % 199.88/201.02 [2376]~E(x23761,x23762)+E(f187(x23763,x23761,x23764,x23765),f187(x23763,x23762,x23764,x23765)) % 199.88/201.02 [2377]~E(x23771,x23772)+E(f187(x23773,x23774,x23771,x23775),f187(x23773,x23774,x23772,x23775)) % 199.88/201.02 [2378]~E(x23781,x23782)+E(f187(x23783,x23784,x23785,x23781),f187(x23783,x23784,x23785,x23782)) % 199.88/201.02 [2379]~E(x23791,x23792)+E(f502(x23791,x23793,x23794),f502(x23792,x23793,x23794)) % 199.88/201.02 [2380]~E(x23801,x23802)+E(f502(x23803,x23801,x23804),f502(x23803,x23802,x23804)) % 199.88/201.02 [2381]~E(x23811,x23812)+E(f502(x23813,x23814,x23811),f502(x23813,x23814,x23812)) % 199.88/201.02 [2382]~E(x23821,x23822)+E(f647(x23821,x23823,x23824,x23825),f647(x23822,x23823,x23824,x23825)) % 199.88/201.02 [2383]~E(x23831,x23832)+E(f647(x23833,x23831,x23834,x23835),f647(x23833,x23832,x23834,x23835)) % 199.88/201.02 [2384]~E(x23841,x23842)+E(f647(x23843,x23844,x23841,x23845),f647(x23843,x23844,x23842,x23845)) % 199.88/201.02 [2385]~E(x23851,x23852)+E(f647(x23853,x23854,x23855,x23851),f647(x23853,x23854,x23855,x23852)) % 199.88/201.02 [2386]~E(x23861,x23862)+E(f625(x23861,x23863,x23864,x23865),f625(x23862,x23863,x23864,x23865)) % 199.88/201.02 [2387]~E(x23871,x23872)+E(f625(x23873,x23871,x23874,x23875),f625(x23873,x23872,x23874,x23875)) % 199.88/201.02 [2388]~E(x23881,x23882)+E(f625(x23883,x23884,x23881,x23885),f625(x23883,x23884,x23882,x23885)) % 199.88/201.02 [2389]~E(x23891,x23892)+E(f625(x23893,x23894,x23895,x23891),f625(x23893,x23894,x23895,x23892)) % 199.88/201.02 [2390]~E(x23901,x23902)+E(f361(x23901,x23903,x23904,x23905),f361(x23902,x23903,x23904,x23905)) % 199.88/201.02 [2391]~E(x23911,x23912)+E(f361(x23913,x23911,x23914,x23915),f361(x23913,x23912,x23914,x23915)) % 199.88/201.02 [2392]~E(x23921,x23922)+E(f361(x23923,x23924,x23921,x23925),f361(x23923,x23924,x23922,x23925)) % 199.88/201.02 [2393]~E(x23931,x23932)+E(f361(x23933,x23934,x23935,x23931),f361(x23933,x23934,x23935,x23932)) % 199.88/201.02 [2394]~E(x23941,x23942)+E(f577(x23941,x23943,x23944,x23945),f577(x23942,x23943,x23944,x23945)) % 199.88/201.02 [2395]~E(x23951,x23952)+E(f577(x23953,x23951,x23954,x23955),f577(x23953,x23952,x23954,x23955)) % 199.88/201.02 [2396]~E(x23961,x23962)+E(f577(x23963,x23964,x23961,x23965),f577(x23963,x23964,x23962,x23965)) % 199.88/201.02 [2397]~E(x23971,x23972)+E(f577(x23973,x23974,x23975,x23971),f577(x23973,x23974,x23975,x23972)) % 199.88/201.02 [2398]~E(x23981,x23982)+E(f555(x23981,x23983,x23984,x23985,x23986,x23987),f555(x23982,x23983,x23984,x23985,x23986,x23987)) % 199.88/201.02 [2399]~E(x23991,x23992)+E(f555(x23993,x23991,x23994,x23995,x23996,x23997),f555(x23993,x23992,x23994,x23995,x23996,x23997)) % 199.88/201.02 [2400]~E(x24001,x24002)+E(f555(x24003,x24004,x24001,x24005,x24006,x24007),f555(x24003,x24004,x24002,x24005,x24006,x24007)) % 199.88/201.02 [2401]~E(x24011,x24012)+E(f555(x24013,x24014,x24015,x24011,x24016,x24017),f555(x24013,x24014,x24015,x24012,x24016,x24017)) % 199.88/201.02 [2402]~E(x24021,x24022)+E(f555(x24023,x24024,x24025,x24026,x24021,x24027),f555(x24023,x24024,x24025,x24026,x24022,x24027)) % 199.88/201.02 [2403]~E(x24031,x24032)+E(f555(x24033,x24034,x24035,x24036,x24037,x24031),f555(x24033,x24034,x24035,x24036,x24037,x24032)) % 199.88/201.02 [2404]~E(x24041,x24042)+E(f818(x24041,x24043,x24044,x24045,x24046,x24047,x24048),f818(x24042,x24043,x24044,x24045,x24046,x24047,x24048)) % 199.88/201.02 [2405]~E(x24051,x24052)+E(f818(x24053,x24051,x24054,x24055,x24056,x24057,x24058),f818(x24053,x24052,x24054,x24055,x24056,x24057,x24058)) % 199.88/201.02 [2406]~E(x24061,x24062)+E(f818(x24063,x24064,x24061,x24065,x24066,x24067,x24068),f818(x24063,x24064,x24062,x24065,x24066,x24067,x24068)) % 199.88/201.02 [2407]~E(x24071,x24072)+E(f818(x24073,x24074,x24075,x24071,x24076,x24077,x24078),f818(x24073,x24074,x24075,x24072,x24076,x24077,x24078)) % 199.88/201.02 [2408]~E(x24081,x24082)+E(f818(x24083,x24084,x24085,x24086,x24081,x24087,x24088),f818(x24083,x24084,x24085,x24086,x24082,x24087,x24088)) % 199.88/201.02 [2409]~E(x24091,x24092)+E(f818(x24093,x24094,x24095,x24096,x24097,x24091,x24098),f818(x24093,x24094,x24095,x24096,x24097,x24092,x24098)) % 199.88/201.02 [2410]~E(x24101,x24102)+E(f818(x24103,x24104,x24105,x24106,x24107,x24108,x24101),f818(x24103,x24104,x24105,x24106,x24107,x24108,x24102)) % 199.88/201.02 [2411]~E(x24111,x24112)+E(f358(x24111,x24113,x24114,x24115,x24116),f358(x24112,x24113,x24114,x24115,x24116)) % 199.88/201.02 [2412]~E(x24121,x24122)+E(f358(x24123,x24121,x24124,x24125,x24126),f358(x24123,x24122,x24124,x24125,x24126)) % 199.88/201.02 [2413]~E(x24131,x24132)+E(f358(x24133,x24134,x24131,x24135,x24136),f358(x24133,x24134,x24132,x24135,x24136)) % 199.88/201.02 [2414]~E(x24141,x24142)+E(f358(x24143,x24144,x24145,x24141,x24146),f358(x24143,x24144,x24145,x24142,x24146)) % 199.88/201.02 [2415]~E(x24151,x24152)+E(f358(x24153,x24154,x24155,x24156,x24151),f358(x24153,x24154,x24155,x24156,x24152)) % 199.88/201.02 [2416]~E(x24161,x24162)+E(f208(x24161,x24163),f208(x24162,x24163)) % 199.88/201.02 [2417]~E(x24171,x24172)+E(f208(x24173,x24171),f208(x24173,x24172)) % 199.88/201.02 [2418]~E(x24181,x24182)+E(f560(x24181,x24183,x24184,x24185,x24186,x24187),f560(x24182,x24183,x24184,x24185,x24186,x24187)) % 199.88/201.02 [2419]~E(x24191,x24192)+E(f560(x24193,x24191,x24194,x24195,x24196,x24197),f560(x24193,x24192,x24194,x24195,x24196,x24197)) % 199.88/201.02 [2420]~E(x24201,x24202)+E(f560(x24203,x24204,x24201,x24205,x24206,x24207),f560(x24203,x24204,x24202,x24205,x24206,x24207)) % 199.88/201.02 [2421]~E(x24211,x24212)+E(f560(x24213,x24214,x24215,x24211,x24216,x24217),f560(x24213,x24214,x24215,x24212,x24216,x24217)) % 199.88/201.02 [2422]~E(x24221,x24222)+E(f560(x24223,x24224,x24225,x24226,x24221,x24227),f560(x24223,x24224,x24225,x24226,x24222,x24227)) % 199.88/201.02 [2423]~E(x24231,x24232)+E(f560(x24233,x24234,x24235,x24236,x24237,x24231),f560(x24233,x24234,x24235,x24236,x24237,x24232)) % 199.88/201.02 [2424]~E(x24241,x24242)+E(f329(x24241,x24243,x24244),f329(x24242,x24243,x24244)) % 199.88/201.02 [2425]~E(x24251,x24252)+E(f329(x24253,x24251,x24254),f329(x24253,x24252,x24254)) % 199.88/201.02 [2426]~E(x24261,x24262)+E(f329(x24263,x24264,x24261),f329(x24263,x24264,x24262)) % 199.88/201.02 [2427]~E(x24271,x24272)+E(f487(x24271,x24273,x24274,x24275),f487(x24272,x24273,x24274,x24275)) % 199.88/201.02 [2428]~E(x24281,x24282)+E(f487(x24283,x24281,x24284,x24285),f487(x24283,x24282,x24284,x24285)) % 199.88/201.02 [2429]~E(x24291,x24292)+E(f487(x24293,x24294,x24291,x24295),f487(x24293,x24294,x24292,x24295)) % 199.88/201.02 [2430]~E(x24301,x24302)+E(f487(x24303,x24304,x24305,x24301),f487(x24303,x24304,x24305,x24302)) % 199.88/201.02 [2431]~E(x24311,x24312)+E(f607(x24311,x24313,x24314,x24315,x24316),f607(x24312,x24313,x24314,x24315,x24316)) % 199.88/201.02 [2432]~E(x24321,x24322)+E(f607(x24323,x24321,x24324,x24325,x24326),f607(x24323,x24322,x24324,x24325,x24326)) % 199.88/201.02 [2433]~E(x24331,x24332)+E(f607(x24333,x24334,x24331,x24335,x24336),f607(x24333,x24334,x24332,x24335,x24336)) % 199.88/201.02 [2434]~E(x24341,x24342)+E(f607(x24343,x24344,x24345,x24341,x24346),f607(x24343,x24344,x24345,x24342,x24346)) % 199.88/201.02 [2435]~E(x24351,x24352)+E(f607(x24353,x24354,x24355,x24356,x24351),f607(x24353,x24354,x24355,x24356,x24352)) % 199.88/201.02 [2436]~E(x24361,x24362)+E(f466(x24361,x24363,x24364,x24365,x24366),f466(x24362,x24363,x24364,x24365,x24366)) % 199.88/201.02 [2437]~E(x24371,x24372)+E(f466(x24373,x24371,x24374,x24375,x24376),f466(x24373,x24372,x24374,x24375,x24376)) % 199.88/201.02 [2438]~E(x24381,x24382)+E(f466(x24383,x24384,x24381,x24385,x24386),f466(x24383,x24384,x24382,x24385,x24386)) % 199.88/201.02 [2439]~E(x24391,x24392)+E(f466(x24393,x24394,x24395,x24391,x24396),f466(x24393,x24394,x24395,x24392,x24396)) % 199.88/201.02 [2440]~E(x24401,x24402)+E(f466(x24403,x24404,x24405,x24406,x24401),f466(x24403,x24404,x24405,x24406,x24402)) % 199.88/201.02 [2441]~E(x24411,x24412)+E(f610(x24411,x24413,x24414,x24415),f610(x24412,x24413,x24414,x24415)) % 199.88/201.02 [2442]~E(x24421,x24422)+E(f610(x24423,x24421,x24424,x24425),f610(x24423,x24422,x24424,x24425)) % 199.88/201.02 [2443]~E(x24431,x24432)+E(f610(x24433,x24434,x24431,x24435),f610(x24433,x24434,x24432,x24435)) % 199.88/201.02 [2444]~E(x24441,x24442)+E(f610(x24443,x24444,x24445,x24441),f610(x24443,x24444,x24445,x24442)) % 199.88/201.02 [2445]~E(x24451,x24452)+E(f635(x24451,x24453,x24454,x24455),f635(x24452,x24453,x24454,x24455)) % 199.88/201.02 [2446]~E(x24461,x24462)+E(f635(x24463,x24461,x24464,x24465),f635(x24463,x24462,x24464,x24465)) % 199.88/201.02 [2447]~E(x24471,x24472)+E(f635(x24473,x24474,x24471,x24475),f635(x24473,x24474,x24472,x24475)) % 199.88/201.02 [2448]~E(x24481,x24482)+E(f635(x24483,x24484,x24485,x24481),f635(x24483,x24484,x24485,x24482)) % 199.88/201.02 [2449]~E(x24491,x24492)+E(f196(x24491,x24493,x24494,x24495),f196(x24492,x24493,x24494,x24495)) % 199.88/201.02 [2450]~E(x24501,x24502)+E(f196(x24503,x24501,x24504,x24505),f196(x24503,x24502,x24504,x24505)) % 199.88/201.02 [2451]~E(x24511,x24512)+E(f196(x24513,x24514,x24511,x24515),f196(x24513,x24514,x24512,x24515)) % 199.88/201.02 [2452]~E(x24521,x24522)+E(f196(x24523,x24524,x24525,x24521),f196(x24523,x24524,x24525,x24522)) % 199.88/201.02 [2453]~E(x24531,x24532)+E(f735(x24531,x24533,x24534),f735(x24532,x24533,x24534)) % 199.88/201.02 [2454]~E(x24541,x24542)+E(f735(x24543,x24541,x24544),f735(x24543,x24542,x24544)) % 199.88/201.02 [2455]~E(x24551,x24552)+E(f735(x24553,x24554,x24551),f735(x24553,x24554,x24552)) % 199.88/201.02 [2456]~E(x24561,x24562)+E(f362(x24561,x24563,x24564,x24565,x24566),f362(x24562,x24563,x24564,x24565,x24566)) % 199.88/201.02 [2457]~E(x24571,x24572)+E(f362(x24573,x24571,x24574,x24575,x24576),f362(x24573,x24572,x24574,x24575,x24576)) % 199.88/201.02 [2458]~E(x24581,x24582)+E(f362(x24583,x24584,x24581,x24585,x24586),f362(x24583,x24584,x24582,x24585,x24586)) % 199.88/201.02 [2459]~E(x24591,x24592)+E(f362(x24593,x24594,x24595,x24591,x24596),f362(x24593,x24594,x24595,x24592,x24596)) % 199.88/201.02 [2460]~E(x24601,x24602)+E(f362(x24603,x24604,x24605,x24606,x24601),f362(x24603,x24604,x24605,x24606,x24602)) % 199.88/201.02 [2461]~E(x24611,x24612)+E(f457(x24611,x24613,x24614,x24615,x24616),f457(x24612,x24613,x24614,x24615,x24616)) % 199.88/201.02 [2462]~E(x24621,x24622)+E(f457(x24623,x24621,x24624,x24625,x24626),f457(x24623,x24622,x24624,x24625,x24626)) % 199.88/201.02 [2463]~E(x24631,x24632)+E(f457(x24633,x24634,x24631,x24635,x24636),f457(x24633,x24634,x24632,x24635,x24636)) % 199.88/201.02 [2464]~E(x24641,x24642)+E(f457(x24643,x24644,x24645,x24641,x24646),f457(x24643,x24644,x24645,x24642,x24646)) % 199.88/201.02 [2465]~E(x24651,x24652)+E(f457(x24653,x24654,x24655,x24656,x24651),f457(x24653,x24654,x24655,x24656,x24652)) % 199.88/201.02 [2466]~E(x24661,x24662)+E(f779(x24661),f779(x24662)) % 199.88/201.02 [2467]~E(x24671,x24672)+E(f349(x24671,x24673,x24674),f349(x24672,x24673,x24674)) % 199.88/201.02 [2468]~E(x24681,x24682)+E(f349(x24683,x24681,x24684),f349(x24683,x24682,x24684)) % 199.88/201.02 [2469]~E(x24691,x24692)+E(f349(x24693,x24694,x24691),f349(x24693,x24694,x24692)) % 199.88/201.02 [2470]~E(x24701,x24702)+E(f850(x24701,x24703),f850(x24702,x24703)) % 199.88/201.02 [2471]~E(x24711,x24712)+E(f850(x24713,x24711),f850(x24713,x24712)) % 199.88/201.02 [2472]~E(x24721,x24722)+E(f592(x24721,x24723,x24724,x24725,x24726),f592(x24722,x24723,x24724,x24725,x24726)) % 199.88/201.02 [2473]~E(x24731,x24732)+E(f592(x24733,x24731,x24734,x24735,x24736),f592(x24733,x24732,x24734,x24735,x24736)) % 199.88/201.02 [2474]~E(x24741,x24742)+E(f592(x24743,x24744,x24741,x24745,x24746),f592(x24743,x24744,x24742,x24745,x24746)) % 199.88/201.02 [2475]~E(x24751,x24752)+E(f592(x24753,x24754,x24755,x24751,x24756),f592(x24753,x24754,x24755,x24752,x24756)) % 199.88/201.02 [2476]~E(x24761,x24762)+E(f592(x24763,x24764,x24765,x24766,x24761),f592(x24763,x24764,x24765,x24766,x24762)) % 199.88/201.02 [2477]~E(x24771,x24772)+E(f516(x24771,x24773,x24774,x24775,x24776,x24777),f516(x24772,x24773,x24774,x24775,x24776,x24777)) % 199.88/201.02 [2478]~E(x24781,x24782)+E(f516(x24783,x24781,x24784,x24785,x24786,x24787),f516(x24783,x24782,x24784,x24785,x24786,x24787)) % 199.88/201.02 [2479]~E(x24791,x24792)+E(f516(x24793,x24794,x24791,x24795,x24796,x24797),f516(x24793,x24794,x24792,x24795,x24796,x24797)) % 199.88/201.02 [2480]~E(x24801,x24802)+E(f516(x24803,x24804,x24805,x24801,x24806,x24807),f516(x24803,x24804,x24805,x24802,x24806,x24807)) % 199.88/201.02 [2481]~E(x24811,x24812)+E(f516(x24813,x24814,x24815,x24816,x24811,x24817),f516(x24813,x24814,x24815,x24816,x24812,x24817)) % 199.88/201.02 [2482]~E(x24821,x24822)+E(f516(x24823,x24824,x24825,x24826,x24827,x24821),f516(x24823,x24824,x24825,x24826,x24827,x24822)) % 199.88/201.02 [2483]~E(x24831,x24832)+E(f546(x24831,x24833),f546(x24832,x24833)) % 199.88/201.02 [2484]~E(x24841,x24842)+E(f546(x24843,x24841),f546(x24843,x24842)) % 199.88/201.02 [2485]~E(x24851,x24852)+E(f423(x24851,x24853,x24854,x24855,x24856),f423(x24852,x24853,x24854,x24855,x24856)) % 199.88/201.02 [2486]~E(x24861,x24862)+E(f423(x24863,x24861,x24864,x24865,x24866),f423(x24863,x24862,x24864,x24865,x24866)) % 199.88/201.02 [2487]~E(x24871,x24872)+E(f423(x24873,x24874,x24871,x24875,x24876),f423(x24873,x24874,x24872,x24875,x24876)) % 199.88/201.02 [2488]~E(x24881,x24882)+E(f423(x24883,x24884,x24885,x24881,x24886),f423(x24883,x24884,x24885,x24882,x24886)) % 199.88/201.02 [2489]~E(x24891,x24892)+E(f423(x24893,x24894,x24895,x24896,x24891),f423(x24893,x24894,x24895,x24896,x24892)) % 199.88/201.02 [2490]~E(x24901,x24902)+E(f739(x24901,x24903,x24904),f739(x24902,x24903,x24904)) % 199.88/201.02 [2491]~E(x24911,x24912)+E(f739(x24913,x24911,x24914),f739(x24913,x24912,x24914)) % 199.88/201.02 [2492]~E(x24921,x24922)+E(f739(x24923,x24924,x24921),f739(x24923,x24924,x24922)) % 199.88/201.02 [2493]~E(x24931,x24932)+E(f334(x24931,x24933),f334(x24932,x24933)) % 199.88/201.02 [2494]~E(x24941,x24942)+E(f334(x24943,x24941),f334(x24943,x24942)) % 199.88/201.02 [2495]~E(x24951,x24952)+E(f681(x24951,x24953,x24954),f681(x24952,x24953,x24954)) % 199.88/201.02 [2496]~E(x24961,x24962)+E(f681(x24963,x24961,x24964),f681(x24963,x24962,x24964)) % 199.88/201.02 [2497]~E(x24971,x24972)+E(f681(x24973,x24974,x24971),f681(x24973,x24974,x24972)) % 199.88/201.02 [2498]~E(x24981,x24982)+E(f19(x24981,x24983,x24984,x24985),f19(x24982,x24983,x24984,x24985)) % 199.88/201.02 [2499]~E(x24991,x24992)+E(f19(x24993,x24991,x24994,x24995),f19(x24993,x24992,x24994,x24995)) % 199.88/201.02 [2500]~E(x25001,x25002)+E(f19(x25003,x25004,x25001,x25005),f19(x25003,x25004,x25002,x25005)) % 199.88/201.02 [2501]~E(x25011,x25012)+E(f19(x25013,x25014,x25015,x25011),f19(x25013,x25014,x25015,x25012)) % 199.88/201.02 [2502]~E(x25021,x25022)+E(f666(x25021,x25023,x25024,x25025,x25026),f666(x25022,x25023,x25024,x25025,x25026)) % 199.88/201.02 [2503]~E(x25031,x25032)+E(f666(x25033,x25031,x25034,x25035,x25036),f666(x25033,x25032,x25034,x25035,x25036)) % 199.88/201.02 [2504]~E(x25041,x25042)+E(f666(x25043,x25044,x25041,x25045,x25046),f666(x25043,x25044,x25042,x25045,x25046)) % 199.88/201.02 [2505]~E(x25051,x25052)+E(f666(x25053,x25054,x25055,x25051,x25056),f666(x25053,x25054,x25055,x25052,x25056)) % 199.88/201.02 [2506]~E(x25061,x25062)+E(f666(x25063,x25064,x25065,x25066,x25061),f666(x25063,x25064,x25065,x25066,x25062)) % 199.88/201.02 [2507]~E(x25071,x25072)+E(f643(x25071,x25073),f643(x25072,x25073)) % 199.88/201.02 [2508]~E(x25081,x25082)+E(f643(x25083,x25081),f643(x25083,x25082)) % 199.88/201.02 [2509]~E(x25091,x25092)+E(f367(x25091,x25093,x25094,x25095,x25096),f367(x25092,x25093,x25094,x25095,x25096)) % 199.88/201.02 [2510]~E(x25101,x25102)+E(f367(x25103,x25101,x25104,x25105,x25106),f367(x25103,x25102,x25104,x25105,x25106)) % 199.88/201.02 [2511]~E(x25111,x25112)+E(f367(x25113,x25114,x25111,x25115,x25116),f367(x25113,x25114,x25112,x25115,x25116)) % 199.88/201.02 [2512]~E(x25121,x25122)+E(f367(x25123,x25124,x25125,x25121,x25126),f367(x25123,x25124,x25125,x25122,x25126)) % 199.88/201.02 [2513]~E(x25131,x25132)+E(f367(x25133,x25134,x25135,x25136,x25131),f367(x25133,x25134,x25135,x25136,x25132)) % 199.88/201.02 [2514]~E(x25141,x25142)+E(f768(x25141,x25143,x25144,x25145,x25146,x25147,x25148),f768(x25142,x25143,x25144,x25145,x25146,x25147,x25148)) % 199.88/201.02 [2515]~E(x25151,x25152)+E(f768(x25153,x25151,x25154,x25155,x25156,x25157,x25158),f768(x25153,x25152,x25154,x25155,x25156,x25157,x25158)) % 199.88/201.02 [2516]~E(x25161,x25162)+E(f768(x25163,x25164,x25161,x25165,x25166,x25167,x25168),f768(x25163,x25164,x25162,x25165,x25166,x25167,x25168)) % 199.88/201.02 [2517]~E(x25171,x25172)+E(f768(x25173,x25174,x25175,x25171,x25176,x25177,x25178),f768(x25173,x25174,x25175,x25172,x25176,x25177,x25178)) % 199.88/201.02 [2518]~E(x25181,x25182)+E(f768(x25183,x25184,x25185,x25186,x25181,x25187,x25188),f768(x25183,x25184,x25185,x25186,x25182,x25187,x25188)) % 199.88/201.02 [2519]~E(x25191,x25192)+E(f768(x25193,x25194,x25195,x25196,x25197,x25191,x25198),f768(x25193,x25194,x25195,x25196,x25197,x25192,x25198)) % 199.88/201.02 [2520]~E(x25201,x25202)+E(f768(x25203,x25204,x25205,x25206,x25207,x25208,x25201),f768(x25203,x25204,x25205,x25206,x25207,x25208,x25202)) % 199.88/201.02 [2521]~E(x25211,x25212)+E(f591(x25211,x25213),f591(x25212,x25213)) % 199.88/201.02 [2522]~E(x25221,x25222)+E(f591(x25223,x25221),f591(x25223,x25222)) % 199.88/201.02 [2523]~E(x25231,x25232)+E(f36(x25231),f36(x25232)) % 199.88/201.02 [2524]~E(x25241,x25242)+E(f866(x25241,x25243,x25244),f866(x25242,x25243,x25244)) % 199.88/201.02 [2525]~E(x25251,x25252)+E(f866(x25253,x25251,x25254),f866(x25253,x25252,x25254)) % 199.88/201.02 [2526]~E(x25261,x25262)+E(f866(x25263,x25264,x25261),f866(x25263,x25264,x25262)) % 199.88/201.02 [2527]~E(x25271,x25272)+E(f736(x25271,x25273,x25274),f736(x25272,x25273,x25274)) % 199.88/201.02 [2528]~E(x25281,x25282)+E(f736(x25283,x25281,x25284),f736(x25283,x25282,x25284)) % 199.88/201.02 [2529]~E(x25291,x25292)+E(f736(x25293,x25294,x25291),f736(x25293,x25294,x25292)) % 199.88/201.02 [2530]~E(x25301,x25302)+E(f614(x25301,x25303,x25304),f614(x25302,x25303,x25304)) % 199.88/201.02 [2531]~E(x25311,x25312)+E(f614(x25313,x25311,x25314),f614(x25313,x25312,x25314)) % 199.88/201.02 [2532]~E(x25321,x25322)+E(f614(x25323,x25324,x25321),f614(x25323,x25324,x25322)) % 199.88/201.02 [2533]~E(x25331,x25332)+E(f588(x25331,x25333,x25334),f588(x25332,x25333,x25334)) % 199.88/201.02 [2534]~E(x25341,x25342)+E(f588(x25343,x25341,x25344),f588(x25343,x25342,x25344)) % 199.88/201.02 [2535]~E(x25351,x25352)+E(f588(x25353,x25354,x25351),f588(x25353,x25354,x25352)) % 199.88/201.02 [2536]~E(x25361,x25362)+E(f628(x25361,x25363,x25364,x25365,x25366),f628(x25362,x25363,x25364,x25365,x25366)) % 199.88/201.02 [2537]~E(x25371,x25372)+E(f628(x25373,x25371,x25374,x25375,x25376),f628(x25373,x25372,x25374,x25375,x25376)) % 199.88/201.02 [2538]~E(x25381,x25382)+E(f628(x25383,x25384,x25381,x25385,x25386),f628(x25383,x25384,x25382,x25385,x25386)) % 199.88/201.02 [2539]~E(x25391,x25392)+E(f628(x25393,x25394,x25395,x25391,x25396),f628(x25393,x25394,x25395,x25392,x25396)) % 199.88/201.02 [2540]~E(x25401,x25402)+E(f628(x25403,x25404,x25405,x25406,x25401),f628(x25403,x25404,x25405,x25406,x25402)) % 199.88/201.02 [2541]~E(x25411,x25412)+E(f336(x25411,x25413,x25414),f336(x25412,x25413,x25414)) % 199.88/201.02 [2542]~E(x25421,x25422)+E(f336(x25423,x25421,x25424),f336(x25423,x25422,x25424)) % 199.88/201.02 [2543]~E(x25431,x25432)+E(f336(x25433,x25434,x25431),f336(x25433,x25434,x25432)) % 199.88/201.02 [2544]~E(x25441,x25442)+E(f354(x25441,x25443),f354(x25442,x25443)) % 199.88/201.02 [2545]~E(x25451,x25452)+E(f354(x25453,x25451),f354(x25453,x25452)) % 199.88/201.02 [2546]~E(x25461,x25462)+E(f250(x25461,x25463,x25464,x25465,x25466),f250(x25462,x25463,x25464,x25465,x25466)) % 199.88/201.02 [2547]~E(x25471,x25472)+E(f250(x25473,x25471,x25474,x25475,x25476),f250(x25473,x25472,x25474,x25475,x25476)) % 199.88/201.02 [2548]~E(x25481,x25482)+E(f250(x25483,x25484,x25481,x25485,x25486),f250(x25483,x25484,x25482,x25485,x25486)) % 199.88/201.02 [2549]~E(x25491,x25492)+E(f250(x25493,x25494,x25495,x25491,x25496),f250(x25493,x25494,x25495,x25492,x25496)) % 199.88/201.02 [2550]~E(x25501,x25502)+E(f250(x25503,x25504,x25505,x25506,x25501),f250(x25503,x25504,x25505,x25506,x25502)) % 199.88/201.02 [2551]~E(x25511,x25512)+E(f587(x25511),f587(x25512)) % 199.88/201.02 [2552]~E(x25521,x25522)+E(f777(x25521,x25523,x25524,x25525,x25526),f777(x25522,x25523,x25524,x25525,x25526)) % 199.88/201.02 [2553]~E(x25531,x25532)+E(f777(x25533,x25531,x25534,x25535,x25536),f777(x25533,x25532,x25534,x25535,x25536)) % 199.88/201.02 [2554]~E(x25541,x25542)+E(f777(x25543,x25544,x25541,x25545,x25546),f777(x25543,x25544,x25542,x25545,x25546)) % 199.88/201.02 [2555]~E(x25551,x25552)+E(f777(x25553,x25554,x25555,x25551,x25556),f777(x25553,x25554,x25555,x25552,x25556)) % 199.88/201.02 [2556]~E(x25561,x25562)+E(f777(x25563,x25564,x25565,x25566,x25561),f777(x25563,x25564,x25565,x25566,x25562)) % 199.88/201.02 [2557]~E(x25571,x25572)+E(f805(x25571,x25573,x25574,x25575,x25576,x25577),f805(x25572,x25573,x25574,x25575,x25576,x25577)) % 199.88/201.02 [2558]~E(x25581,x25582)+E(f805(x25583,x25581,x25584,x25585,x25586,x25587),f805(x25583,x25582,x25584,x25585,x25586,x25587)) % 199.88/201.02 [2559]~E(x25591,x25592)+E(f805(x25593,x25594,x25591,x25595,x25596,x25597),f805(x25593,x25594,x25592,x25595,x25596,x25597)) % 199.88/201.02 [2560]~E(x25601,x25602)+E(f805(x25603,x25604,x25605,x25601,x25606,x25607),f805(x25603,x25604,x25605,x25602,x25606,x25607)) % 199.88/201.02 [2561]~E(x25611,x25612)+E(f805(x25613,x25614,x25615,x25616,x25611,x25617),f805(x25613,x25614,x25615,x25616,x25612,x25617)) % 199.88/201.02 [2562]~E(x25621,x25622)+E(f805(x25623,x25624,x25625,x25626,x25627,x25621),f805(x25623,x25624,x25625,x25626,x25627,x25622)) % 199.88/201.02 [2563]~E(x25631,x25632)+E(f377(x25631,x25633),f377(x25632,x25633)) % 199.88/201.02 [2564]~E(x25641,x25642)+E(f377(x25643,x25641),f377(x25643,x25642)) % 199.88/201.02 [2565]~E(x25651,x25652)+E(f835(x25651,x25653,x25654,x25655),f835(x25652,x25653,x25654,x25655)) % 199.88/201.02 [2566]~E(x25661,x25662)+E(f835(x25663,x25661,x25664,x25665),f835(x25663,x25662,x25664,x25665)) % 199.88/201.02 [2567]~E(x25671,x25672)+E(f835(x25673,x25674,x25671,x25675),f835(x25673,x25674,x25672,x25675)) % 199.88/201.02 [2568]~E(x25681,x25682)+E(f835(x25683,x25684,x25685,x25681),f835(x25683,x25684,x25685,x25682)) % 199.88/201.02 [2569]~E(x25691,x25692)+E(f418(x25691,x25693,x25694),f418(x25692,x25693,x25694)) % 199.88/201.02 [2570]~E(x25701,x25702)+E(f418(x25703,x25701,x25704),f418(x25703,x25702,x25704)) % 199.88/201.02 [2571]~E(x25711,x25712)+E(f418(x25713,x25714,x25711),f418(x25713,x25714,x25712)) % 199.88/201.02 [2572]~E(x25721,x25722)+E(f695(x25721,x25723,x25724),f695(x25722,x25723,x25724)) % 199.88/201.02 [2573]~E(x25731,x25732)+E(f695(x25733,x25731,x25734),f695(x25733,x25732,x25734)) % 199.88/201.02 [2574]~E(x25741,x25742)+E(f695(x25743,x25744,x25741),f695(x25743,x25744,x25742)) % 199.88/201.02 [2575]~E(x25751,x25752)+E(f747(x25751,x25753,x25754,x25755),f747(x25752,x25753,x25754,x25755)) % 199.88/201.02 [2576]~E(x25761,x25762)+E(f747(x25763,x25761,x25764,x25765),f747(x25763,x25762,x25764,x25765)) % 199.88/201.02 [2577]~E(x25771,x25772)+E(f747(x25773,x25774,x25771,x25775),f747(x25773,x25774,x25772,x25775)) % 199.88/201.02 [2578]~E(x25781,x25782)+E(f747(x25783,x25784,x25785,x25781),f747(x25783,x25784,x25785,x25782)) % 199.88/201.02 [2579]~E(x25791,x25792)+E(f837(x25791),f837(x25792)) % 199.88/201.02 [2580]~E(x25801,x25802)+E(f817(x25801,x25803,x25804,x25805,x25806,x25807,x25808,x25809),f817(x25802,x25803,x25804,x25805,x25806,x25807,x25808,x25809)) % 199.88/201.02 [2581]~E(x25811,x25812)+E(f817(x25813,x25811,x25814,x25815,x25816,x25817,x25818,x25819),f817(x25813,x25812,x25814,x25815,x25816,x25817,x25818,x25819)) % 199.88/201.02 [2582]~E(x25821,x25822)+E(f817(x25823,x25824,x25821,x25825,x25826,x25827,x25828,x25829),f817(x25823,x25824,x25822,x25825,x25826,x25827,x25828,x25829)) % 199.88/201.02 [2583]~E(x25831,x25832)+E(f817(x25833,x25834,x25835,x25831,x25836,x25837,x25838,x25839),f817(x25833,x25834,x25835,x25832,x25836,x25837,x25838,x25839)) % 199.88/201.02 [2584]~E(x25841,x25842)+E(f817(x25843,x25844,x25845,x25846,x25841,x25847,x25848,x25849),f817(x25843,x25844,x25845,x25846,x25842,x25847,x25848,x25849)) % 199.88/201.02 [2585]~E(x25851,x25852)+E(f817(x25853,x25854,x25855,x25856,x25857,x25851,x25858,x25859),f817(x25853,x25854,x25855,x25856,x25857,x25852,x25858,x25859)) % 199.88/201.02 [2586]~E(x25861,x25862)+E(f817(x25863,x25864,x25865,x25866,x25867,x25868,x25861,x25869),f817(x25863,x25864,x25865,x25866,x25867,x25868,x25862,x25869)) % 199.88/201.02 [2587]~E(x25871,x25872)+E(f817(x25873,x25874,x25875,x25876,x25877,x25878,x25879,x25871),f817(x25873,x25874,x25875,x25876,x25877,x25878,x25879,x25872)) % 199.88/201.02 [2588]~E(x25881,x25882)+E(f825(x25881,x25883,x25884,x25885,x25886,x25887,x25888,x25889),f825(x25882,x25883,x25884,x25885,x25886,x25887,x25888,x25889)) % 199.88/201.02 [2589]~E(x25891,x25892)+E(f825(x25893,x25891,x25894,x25895,x25896,x25897,x25898,x25899),f825(x25893,x25892,x25894,x25895,x25896,x25897,x25898,x25899)) % 199.88/201.02 [2590]~E(x25901,x25902)+E(f825(x25903,x25904,x25901,x25905,x25906,x25907,x25908,x25909),f825(x25903,x25904,x25902,x25905,x25906,x25907,x25908,x25909)) % 199.88/201.02 [2591]~E(x25911,x25912)+E(f825(x25913,x25914,x25915,x25911,x25916,x25917,x25918,x25919),f825(x25913,x25914,x25915,x25912,x25916,x25917,x25918,x25919)) % 199.88/201.02 [2592]~E(x25921,x25922)+E(f825(x25923,x25924,x25925,x25926,x25921,x25927,x25928,x25929),f825(x25923,x25924,x25925,x25926,x25922,x25927,x25928,x25929)) % 199.88/201.02 [2593]~E(x25931,x25932)+E(f825(x25933,x25934,x25935,x25936,x25937,x25931,x25938,x25939),f825(x25933,x25934,x25935,x25936,x25937,x25932,x25938,x25939)) % 199.88/201.02 [2594]~E(x25941,x25942)+E(f825(x25943,x25944,x25945,x25946,x25947,x25948,x25941,x25949),f825(x25943,x25944,x25945,x25946,x25947,x25948,x25942,x25949)) % 199.88/201.02 [2595]~E(x25951,x25952)+E(f825(x25953,x25954,x25955,x25956,x25957,x25958,x25959,x25951),f825(x25953,x25954,x25955,x25956,x25957,x25958,x25959,x25952)) % 199.88/201.02 [2596]~E(x25961,x25962)+E(f662(x25961,x25963,x25964,x25965),f662(x25962,x25963,x25964,x25965)) % 199.88/201.02 [2597]~E(x25971,x25972)+E(f662(x25973,x25971,x25974,x25975),f662(x25973,x25972,x25974,x25975)) % 199.88/201.02 [2598]~E(x25981,x25982)+E(f662(x25983,x25984,x25981,x25985),f662(x25983,x25984,x25982,x25985)) % 199.88/201.02 [2599]~E(x25991,x25992)+E(f662(x25993,x25994,x25995,x25991),f662(x25993,x25994,x25995,x25992)) % 199.88/201.02 [2600]~E(x26001,x26002)+E(f266(x26001,x26003,x26004,x26005),f266(x26002,x26003,x26004,x26005)) % 199.88/201.02 [2601]~E(x26011,x26012)+E(f266(x26013,x26011,x26014,x26015),f266(x26013,x26012,x26014,x26015)) % 199.88/201.02 [2602]~E(x26021,x26022)+E(f266(x26023,x26024,x26021,x26025),f266(x26023,x26024,x26022,x26025)) % 199.88/201.02 [2603]~E(x26031,x26032)+E(f266(x26033,x26034,x26035,x26031),f266(x26033,x26034,x26035,x26032)) % 199.88/201.02 [2604]~E(x26041,x26042)+E(f339(x26041,x26043,x26044,x26045),f339(x26042,x26043,x26044,x26045)) % 199.88/201.02 [2605]~E(x26051,x26052)+E(f339(x26053,x26051,x26054,x26055),f339(x26053,x26052,x26054,x26055)) % 199.88/201.02 [2606]~E(x26061,x26062)+E(f339(x26063,x26064,x26061,x26065),f339(x26063,x26064,x26062,x26065)) % 199.88/201.02 [2607]~E(x26071,x26072)+E(f339(x26073,x26074,x26075,x26071),f339(x26073,x26074,x26075,x26072)) % 199.88/201.02 [2608]~E(x26081,x26082)+E(f17(x26081,x26083,x26084,x26085),f17(x26082,x26083,x26084,x26085)) % 199.88/201.02 [2609]~E(x26091,x26092)+E(f17(x26093,x26091,x26094,x26095),f17(x26093,x26092,x26094,x26095)) % 199.88/201.02 [2610]~E(x26101,x26102)+E(f17(x26103,x26104,x26101,x26105),f17(x26103,x26104,x26102,x26105)) % 199.88/201.02 [2611]~E(x26111,x26112)+E(f17(x26113,x26114,x26115,x26111),f17(x26113,x26114,x26115,x26112)) % 199.88/201.02 [2612]~E(x26121,x26122)+E(f629(x26121,x26123,x26124,x26125,x26126),f629(x26122,x26123,x26124,x26125,x26126)) % 199.88/201.02 [2613]~E(x26131,x26132)+E(f629(x26133,x26131,x26134,x26135,x26136),f629(x26133,x26132,x26134,x26135,x26136)) % 199.88/201.02 [2614]~E(x26141,x26142)+E(f629(x26143,x26144,x26141,x26145,x26146),f629(x26143,x26144,x26142,x26145,x26146)) % 199.88/201.02 [2615]~E(x26151,x26152)+E(f629(x26153,x26154,x26155,x26151,x26156),f629(x26153,x26154,x26155,x26152,x26156)) % 199.88/201.02 [2616]~E(x26161,x26162)+E(f629(x26163,x26164,x26165,x26166,x26161),f629(x26163,x26164,x26165,x26166,x26162)) % 199.88/201.02 [2617]~E(x26171,x26172)+E(f218(x26171,x26173,x26174),f218(x26172,x26173,x26174)) % 199.88/201.02 [2618]~E(x26181,x26182)+E(f218(x26183,x26181,x26184),f218(x26183,x26182,x26184)) % 199.88/201.02 [2619]~E(x26191,x26192)+E(f218(x26193,x26194,x26191),f218(x26193,x26194,x26192)) % 199.88/201.02 [2620]~E(x26201,x26202)+E(f552(x26201,x26203,x26204),f552(x26202,x26203,x26204)) % 199.88/201.02 [2621]~E(x26211,x26212)+E(f552(x26213,x26211,x26214),f552(x26213,x26212,x26214)) % 199.88/201.02 [2622]~E(x26221,x26222)+E(f552(x26223,x26224,x26221),f552(x26223,x26224,x26222)) % 199.88/201.02 [2623]~E(x26231,x26232)+E(f717(x26231,x26233),f717(x26232,x26233)) % 199.88/201.02 [2624]~E(x26241,x26242)+E(f717(x26243,x26241),f717(x26243,x26242)) % 199.88/201.02 [2625]~E(x26251,x26252)+E(f537(x26251,x26253,x26254,x26255),f537(x26252,x26253,x26254,x26255)) % 199.88/201.02 [2626]~E(x26261,x26262)+E(f537(x26263,x26261,x26264,x26265),f537(x26263,x26262,x26264,x26265)) % 199.88/201.02 [2627]~E(x26271,x26272)+E(f537(x26273,x26274,x26271,x26275),f537(x26273,x26274,x26272,x26275)) % 199.88/201.02 [2628]~E(x26281,x26282)+E(f537(x26283,x26284,x26285,x26281),f537(x26283,x26284,x26285,x26282)) % 199.88/201.02 [2629]~E(x26291,x26292)+E(f408(x26291,x26293,x26294,x26295),f408(x26292,x26293,x26294,x26295)) % 199.88/201.02 [2630]~E(x26301,x26302)+E(f408(x26303,x26301,x26304,x26305),f408(x26303,x26302,x26304,x26305)) % 199.88/201.02 [2631]~E(x26311,x26312)+E(f408(x26313,x26314,x26311,x26315),f408(x26313,x26314,x26312,x26315)) % 199.88/201.02 [2632]~E(x26321,x26322)+E(f408(x26323,x26324,x26325,x26321),f408(x26323,x26324,x26325,x26322)) % 199.88/201.02 [2633]~E(x26331,x26332)+E(f571(x26331,x26333,x26334,x26335,x26336),f571(x26332,x26333,x26334,x26335,x26336)) % 199.88/201.02 [2634]~E(x26341,x26342)+E(f571(x26343,x26341,x26344,x26345,x26346),f571(x26343,x26342,x26344,x26345,x26346)) % 199.88/201.02 [2635]~E(x26351,x26352)+E(f571(x26353,x26354,x26351,x26355,x26356),f571(x26353,x26354,x26352,x26355,x26356)) % 199.88/201.02 [2636]~E(x26361,x26362)+E(f571(x26363,x26364,x26365,x26361,x26366),f571(x26363,x26364,x26365,x26362,x26366)) % 199.88/201.02 [2637]~E(x26371,x26372)+E(f571(x26373,x26374,x26375,x26376,x26371),f571(x26373,x26374,x26375,x26376,x26372)) % 199.88/201.02 [2638]~E(x26381,x26382)+E(f598(x26381,x26383,x26384,x26385,x26386),f598(x26382,x26383,x26384,x26385,x26386)) % 199.88/201.02 [2639]~E(x26391,x26392)+E(f598(x26393,x26391,x26394,x26395,x26396),f598(x26393,x26392,x26394,x26395,x26396)) % 199.88/201.02 [2640]~E(x26401,x26402)+E(f598(x26403,x26404,x26401,x26405,x26406),f598(x26403,x26404,x26402,x26405,x26406)) % 199.88/201.02 [2641]~E(x26411,x26412)+E(f598(x26413,x26414,x26415,x26411,x26416),f598(x26413,x26414,x26415,x26412,x26416)) % 199.88/201.02 [2642]~E(x26421,x26422)+E(f598(x26423,x26424,x26425,x26426,x26421),f598(x26423,x26424,x26425,x26426,x26422)) % 199.88/201.02 [2643]~E(x26431,x26432)+E(f854(x26431,x26433),f854(x26432,x26433)) % 199.88/201.02 [2644]~E(x26441,x26442)+E(f854(x26443,x26441),f854(x26443,x26442)) % 199.88/201.02 [2645]~E(x26451,x26452)+E(f798(x26451,x26453,x26454),f798(x26452,x26453,x26454)) % 199.88/201.02 [2646]~E(x26461,x26462)+E(f798(x26463,x26461,x26464),f798(x26463,x26462,x26464)) % 199.88/201.02 [2647]~E(x26471,x26472)+E(f798(x26473,x26474,x26471),f798(x26473,x26474,x26472)) % 199.88/201.02 [2648]~E(x26481,x26482)+E(f409(x26481,x26483,x26484,x26485),f409(x26482,x26483,x26484,x26485)) % 199.88/201.02 [2649]~E(x26491,x26492)+E(f409(x26493,x26491,x26494,x26495),f409(x26493,x26492,x26494,x26495)) % 199.88/201.02 [2650]~E(x26501,x26502)+E(f409(x26503,x26504,x26501,x26505),f409(x26503,x26504,x26502,x26505)) % 199.88/201.02 [2651]~E(x26511,x26512)+E(f409(x26513,x26514,x26515,x26511),f409(x26513,x26514,x26515,x26512)) % 199.88/201.02 [2652]~E(x26521,x26522)+E(f403(x26521,x26523),f403(x26522,x26523)) % 199.88/201.02 [2653]~E(x26531,x26532)+E(f403(x26533,x26531),f403(x26533,x26532)) % 199.88/201.02 [2654]~E(x26541,x26542)+E(f728(x26541,x26543,x26544),f728(x26542,x26543,x26544)) % 199.88/201.02 [2655]~E(x26551,x26552)+E(f728(x26553,x26551,x26554),f728(x26553,x26552,x26554)) % 199.88/201.02 [2656]~E(x26561,x26562)+E(f728(x26563,x26564,x26561),f728(x26563,x26564,x26562)) % 199.88/201.02 [2657]~E(x26571,x26572)+E(f450(x26571,x26573,x26574),f450(x26572,x26573,x26574)) % 199.88/201.02 [2658]~E(x26581,x26582)+E(f450(x26583,x26581,x26584),f450(x26583,x26582,x26584)) % 199.88/201.02 [2659]~E(x26591,x26592)+E(f450(x26593,x26594,x26591),f450(x26593,x26594,x26592)) % 199.88/201.02 [2660]~E(x26601,x26602)+E(f541(x26601,x26603,x26604),f541(x26602,x26603,x26604)) % 199.88/201.02 [2661]~E(x26611,x26612)+E(f541(x26613,x26611,x26614),f541(x26613,x26612,x26614)) % 199.88/201.02 [2662]~E(x26621,x26622)+E(f541(x26623,x26624,x26621),f541(x26623,x26624,x26622)) % 199.88/201.02 [2663]~E(x26631,x26632)+E(f789(x26631,x26633),f789(x26632,x26633)) % 199.88/201.02 [2664]~E(x26641,x26642)+E(f789(x26643,x26641),f789(x26643,x26642)) % 199.88/201.02 [2665]~E(x26651,x26652)+E(f778(x26651,x26653,x26654,x26655),f778(x26652,x26653,x26654,x26655)) % 199.88/201.02 [2666]~E(x26661,x26662)+E(f778(x26663,x26661,x26664,x26665),f778(x26663,x26662,x26664,x26665)) % 199.88/201.02 [2667]~E(x26671,x26672)+E(f778(x26673,x26674,x26671,x26675),f778(x26673,x26674,x26672,x26675)) % 199.88/201.02 [2668]~E(x26681,x26682)+E(f778(x26683,x26684,x26685,x26681),f778(x26683,x26684,x26685,x26682)) % 199.88/201.02 [2669]~E(x26691,x26692)+E(f519(x26691,x26693),f519(x26692,x26693)) % 199.88/201.02 [2670]~E(x26701,x26702)+E(f519(x26703,x26701),f519(x26703,x26702)) % 199.88/201.02 [2671]~E(x26711,x26712)+E(f596(x26711,x26713,x26714,x26715,x26716),f596(x26712,x26713,x26714,x26715,x26716)) % 199.88/201.02 [2672]~E(x26721,x26722)+E(f596(x26723,x26721,x26724,x26725,x26726),f596(x26723,x26722,x26724,x26725,x26726)) % 199.88/201.02 [2673]~E(x26731,x26732)+E(f596(x26733,x26734,x26731,x26735,x26736),f596(x26733,x26734,x26732,x26735,x26736)) % 199.88/201.02 [2674]~E(x26741,x26742)+E(f596(x26743,x26744,x26745,x26741,x26746),f596(x26743,x26744,x26745,x26742,x26746)) % 199.88/201.02 [2675]~E(x26751,x26752)+E(f596(x26753,x26754,x26755,x26756,x26751),f596(x26753,x26754,x26755,x26756,x26752)) % 199.88/201.02 [2676]~E(x26761,x26762)+E(f504(x26761,x26763,x26764,x26765),f504(x26762,x26763,x26764,x26765)) % 199.88/201.02 [2677]~E(x26771,x26772)+E(f504(x26773,x26771,x26774,x26775),f504(x26773,x26772,x26774,x26775)) % 199.88/201.02 [2678]~E(x26781,x26782)+E(f504(x26783,x26784,x26781,x26785),f504(x26783,x26784,x26782,x26785)) % 199.88/201.02 [2679]~E(x26791,x26792)+E(f504(x26793,x26794,x26795,x26791),f504(x26793,x26794,x26795,x26792)) % 199.88/201.02 [2680]~E(x26801,x26802)+E(f883(x26801,x26803,x26804),f883(x26802,x26803,x26804)) % 199.88/201.02 [2681]~E(x26811,x26812)+E(f883(x26813,x26811,x26814),f883(x26813,x26812,x26814)) % 199.88/201.02 [2682]~E(x26821,x26822)+E(f883(x26823,x26824,x26821),f883(x26823,x26824,x26822)) % 199.88/201.02 [2683]~E(x26831,x26832)+E(f212(x26831,x26833,x26834),f212(x26832,x26833,x26834)) % 199.88/201.02 [2684]~E(x26841,x26842)+E(f212(x26843,x26841,x26844),f212(x26843,x26842,x26844)) % 199.88/201.02 [2685]~E(x26851,x26852)+E(f212(x26853,x26854,x26851),f212(x26853,x26854,x26852)) % 199.88/201.02 [2686]~E(x26861,x26862)+E(f568(x26861,x26863,x26864,x26865),f568(x26862,x26863,x26864,x26865)) % 199.88/201.02 [2687]~E(x26871,x26872)+E(f568(x26873,x26871,x26874,x26875),f568(x26873,x26872,x26874,x26875)) % 199.88/201.02 [2688]~E(x26881,x26882)+E(f568(x26883,x26884,x26881,x26885),f568(x26883,x26884,x26882,x26885)) % 199.88/201.02 [2689]~E(x26891,x26892)+E(f568(x26893,x26894,x26895,x26891),f568(x26893,x26894,x26895,x26892)) % 199.88/201.02 [2690]~E(x26901,x26902)+E(f804(x26901,x26903,x26904,x26905),f804(x26902,x26903,x26904,x26905)) % 199.88/201.02 [2691]~E(x26911,x26912)+E(f804(x26913,x26911,x26914,x26915),f804(x26913,x26912,x26914,x26915)) % 199.88/201.02 [2692]~E(x26921,x26922)+E(f804(x26923,x26924,x26921,x26925),f804(x26923,x26924,x26922,x26925)) % 199.88/201.02 [2693]~E(x26931,x26932)+E(f804(x26933,x26934,x26935,x26931),f804(x26933,x26934,x26935,x26932)) % 199.88/201.02 [2694]~E(x26941,x26942)+E(f325(x26941,x26943,x26944),f325(x26942,x26943,x26944)) % 199.88/201.02 [2695]~E(x26951,x26952)+E(f325(x26953,x26951,x26954),f325(x26953,x26952,x26954)) % 199.88/201.02 [2696]~E(x26961,x26962)+E(f325(x26963,x26964,x26961),f325(x26963,x26964,x26962)) % 199.88/201.02 [2697]~E(x26971,x26972)+E(f665(x26971,x26973,x26974,x26975),f665(x26972,x26973,x26974,x26975)) % 199.88/201.02 [2698]~E(x26981,x26982)+E(f665(x26983,x26981,x26984,x26985),f665(x26983,x26982,x26984,x26985)) % 199.88/201.02 [2699]~E(x26991,x26992)+E(f665(x26993,x26994,x26991,x26995),f665(x26993,x26994,x26992,x26995)) % 199.88/201.02 [2700]~E(x27001,x27002)+E(f665(x27003,x27004,x27005,x27001),f665(x27003,x27004,x27005,x27002)) % 199.88/201.02 [2701]~E(x27011,x27012)+E(f575(x27011,x27013,x27014),f575(x27012,x27013,x27014)) % 199.88/201.02 [2702]~E(x27021,x27022)+E(f575(x27023,x27021,x27024),f575(x27023,x27022,x27024)) % 199.88/201.02 [2703]~E(x27031,x27032)+E(f575(x27033,x27034,x27031),f575(x27033,x27034,x27032)) % 199.88/201.02 [2704]~E(x27041,x27042)+E(f201(x27041,x27043,x27044,x27045,x27046,x27047,x27048),f201(x27042,x27043,x27044,x27045,x27046,x27047,x27048)) % 199.88/201.02 [2705]~E(x27051,x27052)+E(f201(x27053,x27051,x27054,x27055,x27056,x27057,x27058),f201(x27053,x27052,x27054,x27055,x27056,x27057,x27058)) % 199.88/201.02 [2706]~E(x27061,x27062)+E(f201(x27063,x27064,x27061,x27065,x27066,x27067,x27068),f201(x27063,x27064,x27062,x27065,x27066,x27067,x27068)) % 199.88/201.02 [2707]~E(x27071,x27072)+E(f201(x27073,x27074,x27075,x27071,x27076,x27077,x27078),f201(x27073,x27074,x27075,x27072,x27076,x27077,x27078)) % 199.88/201.02 [2708]~E(x27081,x27082)+E(f201(x27083,x27084,x27085,x27086,x27081,x27087,x27088),f201(x27083,x27084,x27085,x27086,x27082,x27087,x27088)) % 199.88/201.02 [2709]~E(x27091,x27092)+E(f201(x27093,x27094,x27095,x27096,x27097,x27091,x27098),f201(x27093,x27094,x27095,x27096,x27097,x27092,x27098)) % 199.88/201.02 [2710]~E(x27101,x27102)+E(f201(x27103,x27104,x27105,x27106,x27107,x27108,x27101),f201(x27103,x27104,x27105,x27106,x27107,x27108,x27102)) % 199.88/201.02 [2711]~E(x27111,x27112)+E(f478(x27111,x27113,x27114),f478(x27112,x27113,x27114)) % 199.88/201.02 [2712]~E(x27121,x27122)+E(f478(x27123,x27121,x27124),f478(x27123,x27122,x27124)) % 199.88/201.02 [2713]~E(x27131,x27132)+E(f478(x27133,x27134,x27131),f478(x27133,x27134,x27132)) % 199.88/201.02 [2714]~E(x27141,x27142)+E(f347(x27141,x27143,x27144,x27145,x27146),f347(x27142,x27143,x27144,x27145,x27146)) % 199.88/201.02 [2715]~E(x27151,x27152)+E(f347(x27153,x27151,x27154,x27155,x27156),f347(x27153,x27152,x27154,x27155,x27156)) % 199.88/201.02 [2716]~E(x27161,x27162)+E(f347(x27163,x27164,x27161,x27165,x27166),f347(x27163,x27164,x27162,x27165,x27166)) % 199.88/201.02 [2717]~E(x27171,x27172)+E(f347(x27173,x27174,x27175,x27171,x27176),f347(x27173,x27174,x27175,x27172,x27176)) % 199.88/201.02 [2718]~E(x27181,x27182)+E(f347(x27183,x27184,x27185,x27186,x27181),f347(x27183,x27184,x27185,x27186,x27182)) % 199.88/201.02 [2719]~E(x27191,x27192)+E(f510(x27191,x27193,x27194,x27195,x27196),f510(x27192,x27193,x27194,x27195,x27196)) % 199.88/201.02 [2720]~E(x27201,x27202)+E(f510(x27203,x27201,x27204,x27205,x27206),f510(x27203,x27202,x27204,x27205,x27206)) % 199.88/201.02 [2721]~E(x27211,x27212)+E(f510(x27213,x27214,x27211,x27215,x27216),f510(x27213,x27214,x27212,x27215,x27216)) % 199.88/201.02 [2722]~E(x27221,x27222)+E(f510(x27223,x27224,x27225,x27221,x27226),f510(x27223,x27224,x27225,x27222,x27226)) % 199.88/201.02 [2723]~E(x27231,x27232)+E(f510(x27233,x27234,x27235,x27236,x27231),f510(x27233,x27234,x27235,x27236,x27232)) % 199.88/201.02 [2724]~E(x27241,x27242)+E(f809(x27241,x27243),f809(x27242,x27243)) % 199.88/201.02 [2725]~E(x27251,x27252)+E(f809(x27253,x27251),f809(x27253,x27252)) % 199.88/201.02 [2726]~E(x27261,x27262)+E(f216(x27261,x27263,x27264,x27265,x27266),f216(x27262,x27263,x27264,x27265,x27266)) % 199.88/201.02 [2727]~E(x27271,x27272)+E(f216(x27273,x27271,x27274,x27275,x27276),f216(x27273,x27272,x27274,x27275,x27276)) % 199.88/201.02 [2728]~E(x27281,x27282)+E(f216(x27283,x27284,x27281,x27285,x27286),f216(x27283,x27284,x27282,x27285,x27286)) % 199.88/201.02 [2729]~E(x27291,x27292)+E(f216(x27293,x27294,x27295,x27291,x27296),f216(x27293,x27294,x27295,x27292,x27296)) % 199.88/201.02 [2730]~E(x27301,x27302)+E(f216(x27303,x27304,x27305,x27306,x27301),f216(x27303,x27304,x27305,x27306,x27302)) % 199.88/201.02 [2731]~E(x27311,x27312)+E(f797(x27311,x27313),f797(x27312,x27313)) % 199.88/201.02 [2732]~E(x27321,x27322)+E(f797(x27323,x27321),f797(x27323,x27322)) % 199.88/201.02 [2733]~E(x27331,x27332)+E(f848(x27331,x27333,x27334),f848(x27332,x27333,x27334)) % 199.88/201.02 [2734]~E(x27341,x27342)+E(f848(x27343,x27341,x27344),f848(x27343,x27342,x27344)) % 199.88/201.02 [2735]~E(x27351,x27352)+E(f848(x27353,x27354,x27351),f848(x27353,x27354,x27352)) % 199.88/201.02 [2736]~E(x27361,x27362)+E(f769(x27361,x27363,x27364,x27365),f769(x27362,x27363,x27364,x27365)) % 199.88/201.02 [2737]~E(x27371,x27372)+E(f769(x27373,x27371,x27374,x27375),f769(x27373,x27372,x27374,x27375)) % 199.88/201.02 [2738]~E(x27381,x27382)+E(f769(x27383,x27384,x27381,x27385),f769(x27383,x27384,x27382,x27385)) % 199.88/201.02 [2739]~E(x27391,x27392)+E(f769(x27393,x27394,x27395,x27391),f769(x27393,x27394,x27395,x27392)) % 199.88/201.02 [2740]~E(x27401,x27402)+E(f428(x27401,x27403,x27404),f428(x27402,x27403,x27404)) % 199.88/201.02 [2741]~E(x27411,x27412)+E(f428(x27413,x27411,x27414),f428(x27413,x27412,x27414)) % 199.88/201.02 [2742]~E(x27421,x27422)+E(f428(x27423,x27424,x27421),f428(x27423,x27424,x27422)) % 199.88/201.02 [2743]~E(x27431,x27432)+E(f731(x27431,x27433,x27434),f731(x27432,x27433,x27434)) % 199.88/201.02 [2744]~E(x27441,x27442)+E(f731(x27443,x27441,x27444),f731(x27443,x27442,x27444)) % 199.88/201.02 [2745]~E(x27451,x27452)+E(f731(x27453,x27454,x27451),f731(x27453,x27454,x27452)) % 199.88/201.02 [2746]~E(x27461,x27462)+E(f486(x27461,x27463,x27464),f486(x27462,x27463,x27464)) % 199.88/201.02 [2747]~E(x27471,x27472)+E(f486(x27473,x27471,x27474),f486(x27473,x27472,x27474)) % 199.88/201.02 [2748]~E(x27481,x27482)+E(f486(x27483,x27484,x27481),f486(x27483,x27484,x27482)) % 199.88/201.02 [2749]~E(x27491,x27492)+E(f522(x27491,x27493),f522(x27492,x27493)) % 199.88/201.02 [2750]~E(x27501,x27502)+E(f522(x27503,x27501),f522(x27503,x27502)) % 199.88/201.02 [2751]~E(x27511,x27512)+E(f114(x27511),f114(x27512)) % 199.88/201.02 [2752]~E(x27521,x27522)+E(f622(x27521,x27523,x27524,x27525),f622(x27522,x27523,x27524,x27525)) % 199.88/201.02 [2753]~E(x27531,x27532)+E(f622(x27533,x27531,x27534,x27535),f622(x27533,x27532,x27534,x27535)) % 199.88/201.02 [2754]~E(x27541,x27542)+E(f622(x27543,x27544,x27541,x27545),f622(x27543,x27544,x27542,x27545)) % 199.88/201.02 [2755]~E(x27551,x27552)+E(f622(x27553,x27554,x27555,x27551),f622(x27553,x27554,x27555,x27552)) % 199.88/201.02 [2756]~E(x27561,x27562)+E(f499(x27561),f499(x27562)) % 199.88/201.02 [2757]~E(x27571,x27572)+E(f520(x27571,x27573),f520(x27572,x27573)) % 199.88/201.02 [2758]~E(x27581,x27582)+E(f520(x27583,x27581),f520(x27583,x27582)) % 199.88/201.02 [2759]~E(x27591,x27592)+E(f786(x27591),f786(x27592)) % 199.88/201.02 [2760]~E(x27601,x27602)+E(f190(x27601),f190(x27602)) % 199.88/201.02 [2761]~E(x27611,x27612)+E(f39(x27611),f39(x27612)) % 199.88/201.02 [2762]~E(x27621,x27622)+E(f727(x27621,x27623),f727(x27622,x27623)) % 199.88/201.02 [2763]~E(x27631,x27632)+E(f727(x27633,x27631),f727(x27633,x27632)) % 199.88/201.02 [2764]~E(x27641,x27642)+E(f851(x27641),f851(x27642)) % 199.88/201.02 [2765]~P1(x27651)+P1(x27652)+~E(x27651,x27652) % 199.88/201.02 [2766]~P2(x27661)+P2(x27662)+~E(x27661,x27662) % 199.88/201.02 [2767]P13(x27672,x27673)+~E(x27671,x27672)+~P13(x27671,x27673) % 199.88/201.02 [2768]P13(x27683,x27682)+~E(x27681,x27682)+~P13(x27683,x27681) % 199.88/201.02 [2769]~P65(x27691)+P65(x27692)+~E(x27691,x27692) % 199.88/201.02 [2770]~P108(x27701)+P108(x27702)+~E(x27701,x27702) % 199.88/201.02 [2771]~P3(x27711)+P3(x27712)+~E(x27711,x27712) % 199.88/201.02 [2772]~P111(x27721)+P111(x27722)+~E(x27721,x27722) % 199.88/201.02 [2773]~P66(x27731)+P66(x27732)+~E(x27731,x27732) % 199.88/201.02 [2774]~P103(x27741)+P103(x27742)+~E(x27741,x27742) % 199.88/201.02 [2775]~P107(x27751)+P107(x27752)+~E(x27751,x27752) % 199.88/201.02 [2776]~P63(x27761)+P63(x27762)+~E(x27761,x27762) % 199.88/201.02 [2777]~P109(x27771)+P109(x27772)+~E(x27771,x27772) % 199.88/201.02 [2778]~P125(x27781)+P125(x27782)+~E(x27781,x27782) % 199.88/201.02 [2779]~P67(x27791)+P67(x27792)+~E(x27791,x27792) % 199.88/201.02 [2780]~P4(x27801)+P4(x27802)+~E(x27801,x27802) % 199.88/201.02 [2781]~P93(x27811)+P93(x27812)+~E(x27811,x27812) % 199.88/201.02 [2782]P58(x27822,x27823,x27824,x27825)+~E(x27821,x27822)+~P58(x27821,x27823,x27824,x27825) % 199.88/201.02 [2783]P58(x27833,x27832,x27834,x27835)+~E(x27831,x27832)+~P58(x27833,x27831,x27834,x27835) % 199.88/201.02 [2784]P58(x27843,x27844,x27842,x27845)+~E(x27841,x27842)+~P58(x27843,x27844,x27841,x27845) % 199.88/201.02 [2785]P58(x27853,x27854,x27855,x27852)+~E(x27851,x27852)+~P58(x27853,x27854,x27855,x27851) % 199.88/201.02 [2786]P24(x27862,x27863,x27864,x27865)+~E(x27861,x27862)+~P24(x27861,x27863,x27864,x27865) % 199.88/201.02 [2787]P24(x27873,x27872,x27874,x27875)+~E(x27871,x27872)+~P24(x27873,x27871,x27874,x27875) % 199.88/201.02 [2788]P24(x27883,x27884,x27882,x27885)+~E(x27881,x27882)+~P24(x27883,x27884,x27881,x27885) % 199.88/201.02 [2789]P24(x27893,x27894,x27895,x27892)+~E(x27891,x27892)+~P24(x27893,x27894,x27895,x27891) % 199.88/201.02 [2790]~P110(x27901)+P110(x27902)+~E(x27901,x27902) % 199.88/201.02 [2791]~P64(x27911)+P64(x27912)+~E(x27911,x27912) % 199.88/201.02 [2792]~P146(x27921)+P146(x27922)+~E(x27921,x27922) % 199.88/201.02 [2793]~P68(x27931)+P68(x27932)+~E(x27931,x27932) % 199.88/201.02 [2794]~P69(x27941)+P69(x27942)+~E(x27941,x27942) % 199.88/201.02 [2795]~P79(x27951)+P79(x27952)+~E(x27951,x27952) % 199.88/201.02 [2796]P27(x27962,x27963)+~E(x27961,x27962)+~P27(x27961,x27963) % 199.88/201.02 [2797]P27(x27973,x27972)+~E(x27971,x27972)+~P27(x27973,x27971) % 199.88/201.02 [2798]~P70(x27981)+P70(x27982)+~E(x27981,x27982) % 199.88/201.02 [2799]P19(x27992,x27993,x27994,x27995)+~E(x27991,x27992)+~P19(x27991,x27993,x27994,x27995) % 199.88/201.02 [2800]P19(x28003,x28002,x28004,x28005)+~E(x28001,x28002)+~P19(x28003,x28001,x28004,x28005) % 199.88/201.02 [2801]P19(x28013,x28014,x28012,x28015)+~E(x28011,x28012)+~P19(x28013,x28014,x28011,x28015) % 199.88/201.02 [2802]P19(x28023,x28024,x28025,x28022)+~E(x28021,x28022)+~P19(x28023,x28024,x28025,x28021) % 199.88/201.02 [2803]P37(x28032,x28033)+~E(x28031,x28032)+~P37(x28031,x28033) % 199.88/201.02 [2804]P37(x28043,x28042)+~E(x28041,x28042)+~P37(x28043,x28041) % 199.88/201.02 [2805]P8(x28052,x28053,x28054)+~E(x28051,x28052)+~P8(x28051,x28053,x28054) % 199.88/201.02 [2806]P8(x28063,x28062,x28064)+~E(x28061,x28062)+~P8(x28063,x28061,x28064) % 199.88/201.02 [2807]P8(x28073,x28074,x28072)+~E(x28071,x28072)+~P8(x28073,x28074,x28071) % 199.88/201.02 [2808]~P71(x28081)+P71(x28082)+~E(x28081,x28082) % 199.88/201.02 [2809]P34(x28092,x28093,x28094)+~E(x28091,x28092)+~P34(x28091,x28093,x28094) % 199.88/201.02 [2810]P34(x28103,x28102,x28104)+~E(x28101,x28102)+~P34(x28103,x28101,x28104) % 199.88/201.02 [2811]P34(x28113,x28114,x28112)+~E(x28111,x28112)+~P34(x28113,x28114,x28111) % 199.88/201.02 [2812]P147(x28122,x28123,x28124)+~E(x28121,x28122)+~P147(x28121,x28123,x28124) % 199.88/201.02 [2813]P147(x28133,x28132,x28134)+~E(x28131,x28132)+~P147(x28133,x28131,x28134) % 199.88/201.02 [2814]P147(x28143,x28144,x28142)+~E(x28141,x28142)+~P147(x28143,x28144,x28141) % 199.88/201.02 [2815]~P72(x28151)+P72(x28152)+~E(x28151,x28152) % 199.88/201.02 [2816]P16(x28162,x28163,x28164)+~E(x28161,x28162)+~P16(x28161,x28163,x28164) % 199.88/201.02 [2817]P16(x28173,x28172,x28174)+~E(x28171,x28172)+~P16(x28173,x28171,x28174) % 199.88/201.02 [2818]P16(x28183,x28184,x28182)+~E(x28181,x28182)+~P16(x28183,x28184,x28181) % 199.88/201.02 [2819]~P94(x28191)+P94(x28192)+~E(x28191,x28192) % 199.88/201.02 [2820]~P83(x28201)+P83(x28202)+~E(x28201,x28202) % 199.88/201.02 [2821]P36(x28212,x28213)+~E(x28211,x28212)+~P36(x28211,x28213) % 199.88/201.02 [2822]P36(x28223,x28222)+~E(x28221,x28222)+~P36(x28223,x28221) % 199.88/201.02 [2823]P20(x28232,x28233,x28234,x28235)+~E(x28231,x28232)+~P20(x28231,x28233,x28234,x28235) % 199.88/201.02 [2824]P20(x28243,x28242,x28244,x28245)+~E(x28241,x28242)+~P20(x28243,x28241,x28244,x28245) % 199.88/201.02 [2825]P20(x28253,x28254,x28252,x28255)+~E(x28251,x28252)+~P20(x28253,x28254,x28251,x28255) % 199.88/201.02 [2826]P20(x28263,x28264,x28265,x28262)+~E(x28261,x28262)+~P20(x28263,x28264,x28265,x28261) % 199.88/201.02 [2827]~P86(x28271)+P86(x28272)+~E(x28271,x28272) % 199.88/201.02 [2828]P30(x28282,x28283,x28284)+~E(x28281,x28282)+~P30(x28281,x28283,x28284) % 199.88/201.02 [2829]P30(x28293,x28292,x28294)+~E(x28291,x28292)+~P30(x28293,x28291,x28294) % 199.88/201.02 [2830]P30(x28303,x28304,x28302)+~E(x28301,x28302)+~P30(x28303,x28304,x28301) % 199.88/201.02 [2831]~P128(x28311)+P128(x28312)+~E(x28311,x28312) % 199.88/201.02 [2832]~P73(x28321)+P73(x28322)+~E(x28321,x28322) % 199.88/201.02 [2833]~P39(x28331)+P39(x28332)+~E(x28331,x28332) % 199.88/201.02 [2834]P14(x28342,x28343,x28344)+~E(x28341,x28342)+~P14(x28341,x28343,x28344) % 199.88/201.02 [2835]P14(x28353,x28352,x28354)+~E(x28351,x28352)+~P14(x28353,x28351,x28354) % 199.88/201.02 [2836]P14(x28363,x28364,x28362)+~E(x28361,x28362)+~P14(x28363,x28364,x28361) % 199.88/201.02 [2837]~P84(x28371)+P84(x28372)+~E(x28371,x28372) % 199.88/201.02 [2838]~P98(x28381)+P98(x28382)+~E(x28381,x28382) % 199.88/201.02 [2839]~P77(x28391)+P77(x28392)+~E(x28391,x28392) % 199.88/201.02 [2840]~P76(x28401)+P76(x28402)+~E(x28401,x28402) % 199.88/201.02 [2841]P148(x28412,x28413,x28414)+~E(x28411,x28412)+~P148(x28411,x28413,x28414) % 199.88/201.02 [2842]P148(x28423,x28422,x28424)+~E(x28421,x28422)+~P148(x28423,x28421,x28424) % 199.88/201.02 [2843]P148(x28433,x28434,x28432)+~E(x28431,x28432)+~P148(x28433,x28434,x28431) % 199.88/201.02 [2844]~P129(x28441)+P129(x28442)+~E(x28441,x28442) % 199.88/201.02 [2845]~P112(x28451)+P112(x28452)+~E(x28451,x28452) % 199.88/201.02 [2846]~P5(x28461)+P5(x28462)+~E(x28461,x28462) % 199.88/201.02 [2847]~P87(x28471)+P87(x28472)+~E(x28471,x28472) % 199.88/201.02 [2848]~P144(x28481)+P144(x28482)+~E(x28481,x28482) % 199.88/201.02 [2849]P54(x28492,x28493,x28494)+~E(x28491,x28492)+~P54(x28491,x28493,x28494) % 199.88/201.02 [2850]P54(x28503,x28502,x28504)+~E(x28501,x28502)+~P54(x28503,x28501,x28504) % 199.88/201.02 [2851]P54(x28513,x28514,x28512)+~E(x28511,x28512)+~P54(x28513,x28514,x28511) % 199.88/201.02 [2852]~P81(x28521)+P81(x28522)+~E(x28521,x28522) % 199.88/201.02 [2853]P25(x28532,x28533,x28534,x28535,x28536)+~E(x28531,x28532)+~P25(x28531,x28533,x28534,x28535,x28536) % 199.88/201.02 [2854]P25(x28543,x28542,x28544,x28545,x28546)+~E(x28541,x28542)+~P25(x28543,x28541,x28544,x28545,x28546) % 199.88/201.02 [2855]P25(x28553,x28554,x28552,x28555,x28556)+~E(x28551,x28552)+~P25(x28553,x28554,x28551,x28555,x28556) % 199.88/201.02 [2856]P25(x28563,x28564,x28565,x28562,x28566)+~E(x28561,x28562)+~P25(x28563,x28564,x28565,x28561,x28566) % 199.88/201.02 [2857]P25(x28573,x28574,x28575,x28576,x28572)+~E(x28571,x28572)+~P25(x28573,x28574,x28575,x28576,x28571) % 199.88/201.02 [2858]P50(x28582,x28583)+~E(x28581,x28582)+~P50(x28581,x28583) % 199.88/201.02 [2859]P50(x28593,x28592)+~E(x28591,x28592)+~P50(x28593,x28591) % 199.88/201.02 [2860]P33(x28602,x28603,x28604,x28605,x28606)+~E(x28601,x28602)+~P33(x28601,x28603,x28604,x28605,x28606) % 199.88/201.02 [2861]P33(x28613,x28612,x28614,x28615,x28616)+~E(x28611,x28612)+~P33(x28613,x28611,x28614,x28615,x28616) % 199.88/201.02 [2862]P33(x28623,x28624,x28622,x28625,x28626)+~E(x28621,x28622)+~P33(x28623,x28624,x28621,x28625,x28626) % 199.88/201.02 [2863]P33(x28633,x28634,x28635,x28632,x28636)+~E(x28631,x28632)+~P33(x28633,x28634,x28635,x28631,x28636) % 199.88/201.02 [2864]P33(x28643,x28644,x28645,x28646,x28642)+~E(x28641,x28642)+~P33(x28643,x28644,x28645,x28646,x28641) % 199.88/201.02 [2865]~P138(x28651)+P138(x28652)+~E(x28651,x28652) % 199.88/201.02 [2866]~P114(x28661)+P114(x28662)+~E(x28661,x28662) % 199.88/201.02 [2867]~P82(x28671)+P82(x28672)+~E(x28671,x28672) % 199.88/201.02 [2868]~P127(x28681)+P127(x28682)+~E(x28681,x28682) % 199.88/201.02 [2869]P52(x28692,x28693,x28694)+~E(x28691,x28692)+~P52(x28691,x28693,x28694) % 199.88/201.02 [2870]P52(x28703,x28702,x28704)+~E(x28701,x28702)+~P52(x28703,x28701,x28704) % 199.88/201.02 [2871]P52(x28713,x28714,x28712)+~E(x28711,x28712)+~P52(x28713,x28714,x28711) % 199.88/201.02 [2872]P46(x28722,x28723,x28724)+~E(x28721,x28722)+~P46(x28721,x28723,x28724) % 199.88/201.02 [2873]P46(x28733,x28732,x28734)+~E(x28731,x28732)+~P46(x28733,x28731,x28734) % 199.88/201.02 [2874]P46(x28743,x28744,x28742)+~E(x28741,x28742)+~P46(x28743,x28744,x28741) % 199.88/201.02 [2875]~P88(x28751)+P88(x28752)+~E(x28751,x28752) % 199.88/201.02 [2876]~P85(x28761)+P85(x28762)+~E(x28761,x28762) % 199.88/201.02 [2877]~P96(x28771)+P96(x28772)+~E(x28771,x28772) % 199.88/201.02 [2878]P51(x28782,x28783)+~E(x28781,x28782)+~P51(x28781,x28783) % 199.88/201.02 [2879]P51(x28793,x28792)+~E(x28791,x28792)+~P51(x28793,x28791) % 199.88/201.02 [2880]P38(x28802,x28803)+~E(x28801,x28802)+~P38(x28801,x28803) % 199.88/201.02 [2881]P38(x28813,x28812)+~E(x28811,x28812)+~P38(x28813,x28811) % 199.88/201.02 [2882]P32(x28822,x28823,x28824)+~E(x28821,x28822)+~P32(x28821,x28823,x28824) % 199.88/201.02 [2883]P32(x28833,x28832,x28834)+~E(x28831,x28832)+~P32(x28833,x28831,x28834) % 199.88/201.02 [2884]P32(x28843,x28844,x28842)+~E(x28841,x28842)+~P32(x28843,x28844,x28841) % 199.88/201.02 [2885]P17(x28852,x28853,x28854)+~E(x28851,x28852)+~P17(x28851,x28853,x28854) % 199.88/201.02 [2886]P17(x28863,x28862,x28864)+~E(x28861,x28862)+~P17(x28863,x28861,x28864) % 199.88/201.02 [2887]P17(x28873,x28874,x28872)+~E(x28871,x28872)+~P17(x28873,x28874,x28871) % 199.88/201.02 [2888]P7(x28882,x28883)+~E(x28881,x28882)+~P7(x28881,x28883) % 199.88/201.02 [2889]P7(x28893,x28892)+~E(x28891,x28892)+~P7(x28893,x28891) % 199.88/201.02 [2890]~P121(x28901)+P121(x28902)+~E(x28901,x28902) % 199.88/201.02 [2891]~P92(x28911)+P92(x28912)+~E(x28911,x28912) % 199.88/201.02 [2892]~P74(x28921)+P74(x28922)+~E(x28921,x28922) % 199.88/201.02 [2893]P45(x28932,x28933)+~E(x28931,x28932)+~P45(x28931,x28933) % 199.88/201.02 [2894]P45(x28943,x28942)+~E(x28941,x28942)+~P45(x28943,x28941) % 199.88/201.02 [2895]~P141(x28951)+P141(x28952)+~E(x28951,x28952) % 199.88/201.02 [2896]P53(x28962,x28963)+~E(x28961,x28962)+~P53(x28961,x28963) % 199.88/201.02 [2897]P53(x28973,x28972)+~E(x28971,x28972)+~P53(x28973,x28971) % 199.88/201.02 [2898]P55(x28982,x28983,x28984)+~E(x28981,x28982)+~P55(x28981,x28983,x28984) % 199.88/201.02 [2899]P55(x28993,x28992,x28994)+~E(x28991,x28992)+~P55(x28993,x28991,x28994) % 199.88/201.02 [2900]P55(x29003,x29004,x29002)+~E(x29001,x29002)+~P55(x29003,x29004,x29001) % 199.88/201.02 [2901]P21(x29012,x29013,x29014,x29015,x29016)+~E(x29011,x29012)+~P21(x29011,x29013,x29014,x29015,x29016) % 199.88/201.02 [2902]P21(x29023,x29022,x29024,x29025,x29026)+~E(x29021,x29022)+~P21(x29023,x29021,x29024,x29025,x29026) % 199.88/201.02 [2903]P21(x29033,x29034,x29032,x29035,x29036)+~E(x29031,x29032)+~P21(x29033,x29034,x29031,x29035,x29036) % 199.88/201.02 [2904]P21(x29043,x29044,x29045,x29042,x29046)+~E(x29041,x29042)+~P21(x29043,x29044,x29045,x29041,x29046) % 199.88/201.02 [2905]P21(x29053,x29054,x29055,x29056,x29052)+~E(x29051,x29052)+~P21(x29053,x29054,x29055,x29056,x29051) % 199.88/201.02 [2906]~P60(x29061)+P60(x29062)+~E(x29061,x29062) % 199.88/201.02 [2907]~P130(x29071)+P130(x29072)+~E(x29071,x29072) % 199.88/201.02 [2908]P28(x29082,x29083,x29084)+~E(x29081,x29082)+~P28(x29081,x29083,x29084) % 199.88/201.02 [2909]P28(x29093,x29092,x29094)+~E(x29091,x29092)+~P28(x29093,x29091,x29094) % 199.88/201.02 [2910]P28(x29103,x29104,x29102)+~E(x29101,x29102)+~P28(x29103,x29104,x29101) % 199.88/201.02 [2911]P15(x29112,x29113)+~E(x29111,x29112)+~P15(x29111,x29113) % 199.88/201.02 [2912]P15(x29123,x29122)+~E(x29121,x29122)+~P15(x29123,x29121) % 199.88/201.02 [2913]~P113(x29131)+P113(x29132)+~E(x29131,x29132) % 199.88/201.02 [2914]P49(x29142,x29143)+~E(x29141,x29142)+~P49(x29141,x29143) % 199.88/201.02 [2915]P49(x29153,x29152)+~E(x29151,x29152)+~P49(x29153,x29151) % 199.88/201.02 [2916]P42(x29162,x29163)+~E(x29161,x29162)+~P42(x29161,x29163) % 199.88/201.02 [2917]P42(x29173,x29172)+~E(x29171,x29172)+~P42(x29173,x29171) % 199.88/201.02 [2918]~P143(x29181)+P143(x29182)+~E(x29181,x29182) % 199.88/201.02 [2919]~P97(x29191)+P97(x29192)+~E(x29191,x29192) % 199.88/201.02 [2920]P18(x29202,x29203,x29204)+~E(x29201,x29202)+~P18(x29201,x29203,x29204) % 199.88/201.02 [2921]P18(x29213,x29212,x29214)+~E(x29211,x29212)+~P18(x29213,x29211,x29214) % 199.88/201.02 [2922]P18(x29223,x29224,x29222)+~E(x29221,x29222)+~P18(x29223,x29224,x29221) % 199.88/201.02 [2923]~P78(x29231)+P78(x29232)+~E(x29231,x29232) % 199.88/201.02 [2924]~P136(x29241)+P136(x29242)+~E(x29241,x29242) % 199.88/201.02 [2925]P22(x29252,x29253,x29254,x29255,x29256,x29257)+~E(x29251,x29252)+~P22(x29251,x29253,x29254,x29255,x29256,x29257) % 199.88/201.02 [2926]P22(x29263,x29262,x29264,x29265,x29266,x29267)+~E(x29261,x29262)+~P22(x29263,x29261,x29264,x29265,x29266,x29267) % 199.88/201.02 [2927]P22(x29273,x29274,x29272,x29275,x29276,x29277)+~E(x29271,x29272)+~P22(x29273,x29274,x29271,x29275,x29276,x29277) % 199.88/201.02 [2928]P22(x29283,x29284,x29285,x29282,x29286,x29287)+~E(x29281,x29282)+~P22(x29283,x29284,x29285,x29281,x29286,x29287) % 199.88/201.02 [2929]P22(x29293,x29294,x29295,x29296,x29292,x29297)+~E(x29291,x29292)+~P22(x29293,x29294,x29295,x29296,x29291,x29297) % 199.88/201.02 [2930]P22(x29303,x29304,x29305,x29306,x29307,x29302)+~E(x29301,x29302)+~P22(x29303,x29304,x29305,x29306,x29307,x29301) % 199.88/201.02 [2931]~P104(x29311)+P104(x29312)+~E(x29311,x29312) % 199.88/201.02 [2932]~P61(x29321)+P61(x29322)+~E(x29321,x29322) % 199.88/201.02 [2933]P149(x29332,x29333)+~E(x29331,x29332)+~P149(x29331,x29333) % 199.88/201.02 [2934]P149(x29343,x29342)+~E(x29341,x29342)+~P149(x29343,x29341) % 199.88/201.02 [2935]~P135(x29351)+P135(x29352)+~E(x29351,x29352) % 199.88/201.02 [2936]~P100(x29361)+P100(x29362)+~E(x29361,x29362) % 199.88/201.02 [2937]~P102(x29371)+P102(x29372)+~E(x29371,x29372) % 199.88/201.02 [2938]P11(x29382,x29383,x29384,x29385)+~E(x29381,x29382)+~P11(x29381,x29383,x29384,x29385) % 199.88/201.02 [2939]P11(x29393,x29392,x29394,x29395)+~E(x29391,x29392)+~P11(x29393,x29391,x29394,x29395) % 199.88/201.02 [2940]P11(x29403,x29404,x29402,x29405)+~E(x29401,x29402)+~P11(x29403,x29404,x29401,x29405) % 199.88/201.02 [2941]P11(x29413,x29414,x29415,x29412)+~E(x29411,x29412)+~P11(x29413,x29414,x29415,x29411) % 199.88/201.02 [2942]P41(x29422,x29423,x29424,x29425,x29426,x29427)+~E(x29421,x29422)+~P41(x29421,x29423,x29424,x29425,x29426,x29427) % 199.88/201.02 [2943]P41(x29433,x29432,x29434,x29435,x29436,x29437)+~E(x29431,x29432)+~P41(x29433,x29431,x29434,x29435,x29436,x29437) % 199.88/201.02 [2944]P41(x29443,x29444,x29442,x29445,x29446,x29447)+~E(x29441,x29442)+~P41(x29443,x29444,x29441,x29445,x29446,x29447) % 199.88/201.02 [2945]P41(x29453,x29454,x29455,x29452,x29456,x29457)+~E(x29451,x29452)+~P41(x29453,x29454,x29455,x29451,x29456,x29457) % 199.88/201.02 [2946]P41(x29463,x29464,x29465,x29466,x29462,x29467)+~E(x29461,x29462)+~P41(x29463,x29464,x29465,x29466,x29461,x29467) % 199.88/201.02 [2947]P41(x29473,x29474,x29475,x29476,x29477,x29472)+~E(x29471,x29472)+~P41(x29473,x29474,x29475,x29476,x29477,x29471) % 199.88/201.02 [2948]~P6(x29481)+P6(x29482)+~E(x29481,x29482) % 199.88/201.02 [2949]~P62(x29491)+P62(x29492)+~E(x29491,x29492) % 199.88/201.02 [2950]~P137(x29501)+P137(x29502)+~E(x29501,x29502) % 199.88/201.02 [2951]~P44(x29511)+P44(x29512)+~E(x29511,x29512) % 199.88/201.02 [2952]P57(x29522,x29523)+~E(x29521,x29522)+~P57(x29521,x29523) % 199.88/201.02 [2953]P57(x29533,x29532)+~E(x29531,x29532)+~P57(x29533,x29531) % 199.88/201.02 [2954]P47(x29542,x29543,x29544)+~E(x29541,x29542)+~P47(x29541,x29543,x29544) % 199.88/201.02 [2955]P47(x29553,x29552,x29554)+~E(x29551,x29552)+~P47(x29553,x29551,x29554) % 199.88/201.02 [2956]P47(x29563,x29564,x29562)+~E(x29561,x29562)+~P47(x29563,x29564,x29561) % 199.88/201.02 [2957]~P126(x29571)+P126(x29572)+~E(x29571,x29572) % 199.88/201.02 [2958]~P131(x29581)+P131(x29582)+~E(x29581,x29582) % 199.88/201.02 [2959]P59(x29592,x29593)+~E(x29591,x29592)+~P59(x29591,x29593) % 199.88/201.02 [2960]P59(x29603,x29602)+~E(x29601,x29602)+~P59(x29603,x29601) % 199.88/201.02 [2961]~P145(x29611)+P145(x29612)+~E(x29611,x29612) % 199.88/201.02 [2962]~P119(x29621)+P119(x29622)+~E(x29621,x29622) % 199.88/201.02 [2963]P29(x29632,x29633,x29634)+~E(x29631,x29632)+~P29(x29631,x29633,x29634) % 199.88/201.02 [2964]P29(x29643,x29642,x29644)+~E(x29641,x29642)+~P29(x29643,x29641,x29644) % 199.88/201.02 [2965]P29(x29653,x29654,x29652)+~E(x29651,x29652)+~P29(x29653,x29654,x29651) % 199.88/201.02 [2966]~P140(x29661)+P140(x29662)+~E(x29661,x29662) % 199.88/201.02 [2967]P31(x29672,x29673,x29674,x29675)+~E(x29671,x29672)+~P31(x29671,x29673,x29674,x29675) % 199.88/201.02 [2968]P31(x29683,x29682,x29684,x29685)+~E(x29681,x29682)+~P31(x29683,x29681,x29684,x29685) % 199.88/201.02 [2969]P31(x29693,x29694,x29692,x29695)+~E(x29691,x29692)+~P31(x29693,x29694,x29691,x29695) % 199.88/201.02 [2970]P31(x29703,x29704,x29705,x29702)+~E(x29701,x29702)+~P31(x29703,x29704,x29705,x29701) % 199.88/201.02 [2971]~P132(x29711)+P132(x29712)+~E(x29711,x29712) % 199.88/201.02 [2972]P23(x29722,x29723,x29724,x29725,x29726,x29727)+~E(x29721,x29722)+~P23(x29721,x29723,x29724,x29725,x29726,x29727) % 199.88/201.02 [2973]P23(x29733,x29732,x29734,x29735,x29736,x29737)+~E(x29731,x29732)+~P23(x29733,x29731,x29734,x29735,x29736,x29737) % 199.88/201.02 [2974]P23(x29743,x29744,x29742,x29745,x29746,x29747)+~E(x29741,x29742)+~P23(x29743,x29744,x29741,x29745,x29746,x29747) % 199.88/201.02 [2975]P23(x29753,x29754,x29755,x29752,x29756,x29757)+~E(x29751,x29752)+~P23(x29753,x29754,x29755,x29751,x29756,x29757) % 199.88/201.02 [2976]P23(x29763,x29764,x29765,x29766,x29762,x29767)+~E(x29761,x29762)+~P23(x29763,x29764,x29765,x29766,x29761,x29767) % 199.88/201.02 [2977]P23(x29773,x29774,x29775,x29776,x29777,x29772)+~E(x29771,x29772)+~P23(x29773,x29774,x29775,x29776,x29777,x29771) % 199.88/201.02 [2978]~P139(x29781)+P139(x29782)+~E(x29781,x29782) % 199.88/201.02 [2979]~P133(x29791)+P133(x29792)+~E(x29791,x29792) % 199.88/201.02 [2980]~P134(x29801)+P134(x29802)+~E(x29801,x29802) % 199.88/201.02 [2981]~P122(x29811)+P122(x29812)+~E(x29811,x29812) % 199.88/201.02 [2982]P56(x29822,x29823,x29824,x29825,x29826)+~E(x29821,x29822)+~P56(x29821,x29823,x29824,x29825,x29826) % 199.88/201.02 [2983]P56(x29833,x29832,x29834,x29835,x29836)+~E(x29831,x29832)+~P56(x29833,x29831,x29834,x29835,x29836) % 199.88/201.02 [2984]P56(x29843,x29844,x29842,x29845,x29846)+~E(x29841,x29842)+~P56(x29843,x29844,x29841,x29845,x29846) % 199.88/201.02 [2985]P56(x29853,x29854,x29855,x29852,x29856)+~E(x29851,x29852)+~P56(x29853,x29854,x29855,x29851,x29856) % 199.88/201.02 [2986]P56(x29863,x29864,x29865,x29866,x29862)+~E(x29861,x29862)+~P56(x29863,x29864,x29865,x29866,x29861) % 199.88/201.02 [2987]~P101(x29871)+P101(x29872)+~E(x29871,x29872) % 199.88/201.02 [2988]~P35(x29881)+P35(x29882)+~E(x29881,x29882) % 199.88/201.02 [2989]~P89(x29891)+P89(x29892)+~E(x29891,x29892) % 199.88/201.02 [2990]~P95(x29901)+P95(x29902)+~E(x29901,x29902) % 199.88/201.02 [2991]~P105(x29911)+P105(x29912)+~E(x29911,x29912) % 199.88/201.02 [2992]~P120(x29921)+P120(x29922)+~E(x29921,x29922) % 199.88/201.02 [2993]P40(x29932,x29933,x29934,x29935)+~E(x29931,x29932)+~P40(x29931,x29933,x29934,x29935) % 199.88/201.02 [2994]P40(x29943,x29942,x29944,x29945)+~E(x29941,x29942)+~P40(x29943,x29941,x29944,x29945) % 199.88/201.02 [2995]P40(x29953,x29954,x29952,x29955)+~E(x29951,x29952)+~P40(x29953,x29954,x29951,x29955) % 199.88/201.02 [2996]P40(x29963,x29964,x29965,x29962)+~E(x29961,x29962)+~P40(x29963,x29964,x29965,x29961) % 199.88/201.02 [2997]P26(x29972,x29973)+~E(x29971,x29972)+~P26(x29971,x29973) % 199.88/201.02 [2998]P26(x29983,x29982)+~E(x29981,x29982)+~P26(x29983,x29981) % 199.88/201.02 [2999]~P99(x29991)+P99(x29992)+~E(x29991,x29992) % 199.88/201.02 [3000]~P150(x30001)+P150(x30002)+~E(x30001,x30002) % 199.88/201.02 [3001]~P118(x30011)+P118(x30012)+~E(x30011,x30012) % 199.88/201.02 [3002]~P142(x30021)+P142(x30022)+~E(x30021,x30022) % 199.88/201.02 [3003]~P91(x30031)+P91(x30032)+~E(x30031,x30032) % 199.88/201.02 [3004]P12(x30042,x30043,x30044,x30045,x30046,x30047)+~E(x30041,x30042)+~P12(x30041,x30043,x30044,x30045,x30046,x30047) % 199.88/201.02 [3005]P12(x30053,x30052,x30054,x30055,x30056,x30057)+~E(x30051,x30052)+~P12(x30053,x30051,x30054,x30055,x30056,x30057) % 199.88/201.02 [3006]P12(x30063,x30064,x30062,x30065,x30066,x30067)+~E(x30061,x30062)+~P12(x30063,x30064,x30061,x30065,x30066,x30067) % 199.88/201.02 [3007]P12(x30073,x30074,x30075,x30072,x30076,x30077)+~E(x30071,x30072)+~P12(x30073,x30074,x30075,x30071,x30076,x30077) % 199.88/201.02 [3008]P12(x30083,x30084,x30085,x30086,x30082,x30087)+~E(x30081,x30082)+~P12(x30083,x30084,x30085,x30086,x30081,x30087) % 199.88/201.02 [3009]P12(x30093,x30094,x30095,x30096,x30097,x30092)+~E(x30091,x30092)+~P12(x30093,x30094,x30095,x30096,x30097,x30091) % 199.88/201.02 [3010]~P117(x30101)+P117(x30102)+~E(x30101,x30102) % 199.88/201.02 [3011]~P80(x30111)+P80(x30112)+~E(x30111,x30112) % 199.88/201.02 [3012]P43(x30122,x30123)+~E(x30121,x30122)+~P43(x30121,x30123) % 199.88/201.02 [3013]P43(x30133,x30132)+~E(x30131,x30132)+~P43(x30133,x30131) % 199.88/201.02 [3014]~P75(x30141)+P75(x30142)+~E(x30141,x30142) % 199.88/201.02 [3015]~P115(x30151)+P115(x30152)+~E(x30151,x30152) % 199.88/201.02 [3016]~P106(x30161)+P106(x30162)+~E(x30161,x30162) % 199.88/201.02 [3017]~P90(x30171)+P90(x30172)+~E(x30171,x30172) % 199.88/201.02 [3018]~P123(x30181)+P123(x30182)+~E(x30181,x30182) % 199.88/201.02 [3019]~P116(x30191)+P116(x30192)+~E(x30191,x30192) % 199.88/201.02 [3020]P10(x30202,x30203,x30204,x30205,x30206)+~E(x30201,x30202)+~P10(x30201,x30203,x30204,x30205,x30206) % 199.88/201.02 [3021]P10(x30213,x30212,x30214,x30215,x30216)+~E(x30211,x30212)+~P10(x30213,x30211,x30214,x30215,x30216) % 199.88/201.02 [3022]P10(x30223,x30224,x30222,x30225,x30226)+~E(x30221,x30222)+~P10(x30223,x30224,x30221,x30225,x30226) % 199.88/201.02 [3023]P10(x30233,x30234,x30235,x30232,x30236)+~E(x30231,x30232)+~P10(x30233,x30234,x30235,x30231,x30236) % 199.88/201.02 [3024]P10(x30243,x30244,x30245,x30246,x30242)+~E(x30241,x30242)+~P10(x30243,x30244,x30245,x30246,x30241) % 199.88/201.02 [3025]P9(x30252,x30253,x30254)+~E(x30251,x30252)+~P9(x30251,x30253,x30254) % 199.88/201.02 [3026]P9(x30263,x30262,x30264)+~E(x30261,x30262)+~P9(x30263,x30261,x30264) % 199.88/201.02 [3027]P9(x30273,x30274,x30272)+~E(x30271,x30272)+~P9(x30273,x30274,x30271) % 199.88/201.02 [3028]~P124(x30281)+P124(x30282)+~E(x30281,x30282) % 199.88/201.02 [3029]P48(x30292,x30293,x30294,x30295)+~E(x30291,x30292)+~P48(x30291,x30293,x30294,x30295) % 199.88/201.02 [3030]P48(x30303,x30302,x30304,x30305)+~E(x30301,x30302)+~P48(x30303,x30301,x30304,x30305) % 199.88/201.02 [3031]P48(x30313,x30314,x30312,x30315)+~E(x30311,x30312)+~P48(x30313,x30314,x30311,x30315) % 199.88/201.02 [3032]P48(x30323,x30324,x30325,x30322)+~E(x30321,x30322)+~P48(x30323,x30324,x30325,x30321) % 199.88/201.02 % 199.88/201.02 %------------------------------------------- % 199.99/201.08 cnf(10396,plain, % 199.99/201.08 (~E(f317(a102,x103961),x103961)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10406,plain, % 199.99/201.08 (~E(f317(a102,x104061),x104061)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10419,plain, % 199.99/201.08 (~E(f317(a102,x104191),x104191)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10424,plain, % 199.99/201.08 (~P1(f317(f317(f162(x104241),f103(x104241)),x104242))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10427,plain, % 199.99/201.08 (~P1(f317(f317(f162(x104271),f103(x104271)),x104272))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10430,plain, % 199.99/201.08 (~E(f317(a102,x104301),x104301)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10433,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x104331),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(10436,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x104361),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(10453,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x104531)),x104531))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(10456,plain, % 199.99/201.08 (~E(f317(f317(f141(x104561),x104562),x104563),x104563)), % 199.99/201.08 inference(rename_variables,[],[4584])). % 199.99/201.08 cnf(10462,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x104621),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(10465,plain, % 199.99/201.08 (E(f317(f274(x104651,x104651),f253(x104651,x104652)),x104652)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(10468,plain, % 199.99/201.08 (E(f317(f274(x104681,x104681),f253(x104681,x104682)),x104682)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(10473,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x104731),x104731))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(10478,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x104781),x104782)),x104782))), % 199.99/201.08 inference(rename_variables,[],[4627])). % 199.99/201.08 cnf(10481,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x104811),x104812)),x104812))), % 199.99/201.08 inference(rename_variables,[],[4627])). % 199.99/201.08 cnf(10488,plain, % 199.99/201.08 (~E(x104881,f317(a102,x104881))), % 199.99/201.08 inference(scs_inference,[],[4571,10396,10406,10419,3225,3389,10465,3264,3328,3260,3288,3271,4584,3494,3413,4608,10433,10436,4605,4579,4611,10424,4604,4612,4237,4609,3405,4597,4629,4627,10478,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244])). % 199.99/201.08 cnf(10502,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x105021),x105021))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(10505,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f40(a898,x105051,x105052)),x105051))), % 199.99/201.08 inference(rename_variables,[],[3876])). % 199.99/201.08 cnf(10526,plain, % 199.99/201.08 (E(f317(f29(a898),f317(f272(a898),x105261)),x105261)), % 199.99/201.08 inference(rename_variables,[],[3323])). % 199.99/201.08 cnf(10534,plain, % 199.99/201.08 (~E(f317(a102,x105341),x105341)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10539,plain, % 199.99/201.08 (~E(f317(a102,x105391),x105391)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10542,plain, % 199.99/201.08 (~E(f317(a102,x105421),x105421)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10544,plain, % 199.99/201.08 (P1(f317(a183,a87))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,3225,3389,10465,3264,3328,3260,3288,3271,3359,4584,3323,4632,3344,3494,3413,4608,10433,10436,4002,3432,4605,4579,4611,10424,4604,10473,10502,3519,3937,3876,4612,10453,4237,4609,4596,3405,4597,4629,4627,10478,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384])). % 199.99/201.08 cnf(10547,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x105471),f317(a102,x105471)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(10556,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x105561),x105561))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(10563,plain, % 199.99/201.08 (E(f317(f274(x105631,x105631),f253(x105631,x105632)),x105632)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(10566,plain, % 199.99/201.08 (E(f317(f274(x105661,x105661),f253(x105661,x105662)),x105662)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(10583,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x105831),x105831))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(10588,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x105881),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(10591,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x105911,a894)),x105912),f232(f905(x105911,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(10596,plain, % 199.99/201.08 (~P1(f317(f317(f162(x105961),f103(x105961)),x105962))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10625,plain, % 199.99/201.08 (~E(f317(f317(f141(x106251),x106252),x106253),x106253)), % 199.99/201.08 inference(rename_variables,[],[4584])). % 199.99/201.08 cnf(10628,plain, % 199.99/201.08 (~E(f317(a102,x106281),f2(a898))), % 199.99/201.08 inference(rename_variables,[],[4577])). % 199.99/201.08 cnf(10639,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x106391),x106391))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(10644,plain, % 199.99/201.08 (~E(f317(a102,x106441),x106441)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10647,plain, % 199.99/201.08 (~P1(f317(f317(f178(f905(x106471,f905(x106472,a894))),x106473),x106474))), % 199.99/201.08 inference(rename_variables,[],[4630])). % 199.99/201.08 cnf(10654,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x106541),x106541))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(10667,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x106671),f317(a102,x106671)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(10688,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x106881,a894)),x106882),f232(f905(x106881,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(10691,plain, % 199.99/201.08 (~P1(f317(f317(f162(x106911),f103(x106911)),x106912))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10710,plain, % 199.99/201.08 (~P1(f317(f317(f162(x107101),f103(x107101)),x107102))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10717,plain, % 199.99/201.08 (~P1(f317(f317(f162(x107171),f103(x107171)),x107172))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10725,plain, % 199.99/201.08 (E(f317(f317(f234(a898),f317(f94(a898),a87)),x107251),f317(f317(f234(a898),f2(a898)),x107251))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,4577,3225,3389,10465,10468,10563,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,4632,3344,3784,3494,10547,10667,3413,4608,10433,10436,10462,10588,4619,3858,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,4146,3802,10591,3429,10556,10654,3430,10583,4604,10473,10502,3519,3937,3876,10505,4612,10453,4237,4609,4596,3405,3410,4598,4597,4629,4630,3899,4627,10478,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912])). % 199.99/201.08 cnf(10728,plain, % 199.99/201.08 (~E(f317(a102,x107281),f2(a898))), % 199.99/201.08 inference(rename_variables,[],[4577])). % 199.99/201.08 cnf(10733,plain, % 199.99/201.08 (P1(f317(f317(f319(x107331),x107332),f232(f905(x107331,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(10737,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),f2(a898)),f317(a95,f72(a1))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,4577,10628,3225,3389,10465,10468,10563,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,4632,3344,3784,3494,10547,10667,3413,4608,10433,10436,10462,10588,4619,3858,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,4146,3802,10591,3429,10556,10654,3430,10583,4604,10473,10502,3577,3519,3937,3876,10505,4612,10453,4237,4609,4596,3405,3410,4598,4597,4629,4630,3899,4627,10478,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980])). % 199.99/201.08 cnf(10740,plain, % 199.99/201.08 (~P1(f317(f317(f162(x107401),f103(x107401)),x107402))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10745,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x107451),f317(a102,x107451)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(10748,plain, % 199.99/201.08 (~P1(f317(f317(f162(x107481),f103(x107481)),x107482))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10751,plain, % 199.99/201.08 (~P1(f317(f317(f162(x107511),f103(x107511)),x107512))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10754,plain, % 199.99/201.08 (~P1(f317(f56(x107541,x107542,f178(f905(x107541,a894))),x107543))), % 199.99/201.08 inference(rename_variables,[],[4626])). % 199.99/201.08 cnf(10757,plain, % 199.99/201.08 (~P1(f317(f56(x107571,x107572,f178(f905(x107571,a894))),x107573))), % 199.99/201.08 inference(rename_variables,[],[4626])). % 199.99/201.08 cnf(10760,plain, % 199.99/201.08 (~P1(f317(f317(f178(f905(x107601,f905(x107602,a894))),x107603),x107604))), % 199.99/201.08 inference(rename_variables,[],[4630])). % 199.99/201.08 cnf(10763,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x107631),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(10768,plain, % 199.99/201.08 (~P1(f317(f317(f162(x107681),f103(x107681)),x107682))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10778,plain, % 199.99/201.08 (~E(f317(f158(x107781),f317(a102,f317(f317(f124(x107781),f317(f158(x107781),x107782)),f317(f317(f141(x107781),x107783),f103(x107781))))),f317(f317(f141(x107781),x107783),x107782))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,4632,3344,3784,3494,10547,10667,10745,3413,4608,10433,10436,10462,10588,4619,3858,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4146,3802,10591,3429,10556,10654,3430,10583,4604,10473,10502,3577,3519,3937,3876,10505,4612,10453,4237,4609,4596,3405,3410,4598,4597,4626,10754,4629,4630,10647,3899,4627,10478,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096])). % 199.99/201.08 cnf(10779,plain, % 199.99/201.08 (~E(f317(a102,x107791),x107791)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(10797,plain, % 199.99/201.08 (P1(f317(f317(f226(a89),f317(a3,x107971)),f317(a3,f317(a102,x107971))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,4632,3344,3784,3494,10547,10667,10745,3871,3413,4608,10433,10436,10462,10588,4619,3858,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4146,3802,10591,3429,10556,10654,3430,10583,4604,10473,10502,3577,3519,3937,3876,10505,4612,10453,4237,4609,4596,3405,3410,4598,4597,4626,10754,4629,4630,10647,3899,4627,10478,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179])). % 199.99/201.08 cnf(10804,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x108041),x108041))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(10807,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x108071),f317(f317(f75(a898),x108071),x108071)))), % 199.99/201.08 inference(rename_variables,[],[3686])). % 199.99/201.08 cnf(10810,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x108101),f317(f317(f75(a898),x108101),x108101)))), % 199.99/201.08 inference(rename_variables,[],[3686])). % 199.99/201.08 cnf(10813,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x108131),f317(a102,f317(f317(f74(a898),x108132),x108131))))), % 199.99/201.08 inference(rename_variables,[],[3869])). % 199.99/201.08 cnf(10818,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x108181),f317(a102,x108181)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(10821,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x108211),f317(a102,x108211)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(10824,plain, % 199.99/201.08 (P1(f317(f317(f319(x108241),x108242),f232(f905(x108241,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(10843,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x108431)),x108431))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(10846,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x108461)),x108461))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(10849,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x108491),x108492)),x108492))), % 199.99/201.08 inference(rename_variables,[],[4627])). % 199.99/201.08 cnf(10852,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x108521),x108522)),x108522))), % 199.99/201.08 inference(rename_variables,[],[4627])). % 199.99/201.08 cnf(10855,plain, % 199.99/201.08 (P1(f317(f232(f905(x108551,a894)),x108552))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(10858,plain, % 199.99/201.08 (E(f317(f29(a898),f317(f272(a898),x108581)),x108581)), % 199.99/201.08 inference(rename_variables,[],[3323])). % 199.99/201.08 cnf(10861,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x108611),f317(a102,x108611)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(10868,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x108681),x108681))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(10873,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x108731),x108731))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(10876,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x108761,a894)),f317(f162(x108761),f317(f126(x108761,x108762),x108763))),f317(f162(x108761),x108763)))), % 199.99/201.08 inference(rename_variables,[],[4065])). % 199.99/201.08 cnf(10885,plain, % 199.99/201.08 (E(f317(f274(x108851,x108851),f253(x108851,x108852)),x108852)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(10888,plain, % 199.99/201.08 (P1(f317(f232(f905(x108881,a894)),x108882))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(10890,plain, % 199.99/201.08 (P30(x108901,f317(f225(a898),f2(a898)),x108902)), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,3871,3413,4608,10433,10436,10462,10588,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4065,4146,3802,10591,3429,10556,10654,10804,3430,10583,10639,4604,10473,10502,3577,10733,3487,10855,3519,3937,3876,10505,4612,10453,10843,3450,4237,4609,4596,3405,3410,4598,4597,4626,10754,4631,3686,10807,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416])). % 199.99/201.08 cnf(10891,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x108911))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(10893,plain, % 199.99/201.08 (P30(x108931,f317(f225(f905(x108932,a894)),f178(f905(x108932,a894))),x108933)), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,3871,3413,4608,10433,10436,10462,10588,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4065,4146,3802,10591,3429,10556,10654,10804,3430,10583,10639,4604,10473,10502,3577,10733,3487,10855,3519,3937,3876,10505,4612,10453,10843,3450,4237,4609,4596,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417])). % 199.99/201.08 cnf(10894,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x108941,a894)),f178(f905(x108941,a894))),x108942))), % 199.99/201.08 inference(rename_variables,[],[3868])). % 199.99/201.08 cnf(10897,plain, % 199.99/201.08 (P1(f317(f232(f905(x108971,a894)),x108972))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(10900,plain, % 199.99/201.08 (P1(f317(f232(f905(x109001,a894)),x109002))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(10903,plain, % 199.99/201.08 (P1(f317(f232(f905(x109031,a894)),x109032))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(10905,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(f317(f75(a898),f317(a102,x109051)),f317(a102,x109051))),x109051))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,3871,3413,4608,10433,10436,10462,10588,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4065,4146,3802,10591,3429,10556,10654,10804,3430,10583,10639,4604,10473,10502,3577,10733,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,3450,4237,4609,4596,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427])). % 199.99/201.08 cnf(10906,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x109061),f317(f317(f75(a898),x109061),x109061)))), % 199.99/201.08 inference(rename_variables,[],[3686])). % 199.99/201.08 cnf(10910,plain, % 199.99/201.08 (E(f317(f158(x109101),f163(x109102,f317(f317(f124(x109101),f317(f158(x109101),x109103)),f317(f317(f141(x109101),x109104),f103(x109101))),f103(x109102))),f317(f317(f141(x109101),x109104),x109103))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,3871,3413,4608,10433,10436,10462,10588,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4065,4146,3802,10591,3429,10556,10654,10804,3430,10583,10639,4604,10473,10502,3577,10733,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,3450,4237,4609,4596,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466])). % 199.99/201.08 cnf(10915,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,f317(a102,f317(f317(f74(a898),x109151),x109152)))),f317(a102,x109152)))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,10861,3871,3413,4608,10433,10436,10462,10588,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4065,4146,3802,10591,3429,10556,10654,10804,3430,10583,10639,4604,10473,10502,3577,10733,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,3450,4237,4609,4596,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470])). % 199.99/201.08 cnf(10923,plain, % 199.99/201.08 (~P1(f317(f317(f226(a89),f317(a3,x109231)),f317(a3,f2(a898))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,10861,3871,3413,4608,10433,10436,10462,10588,10763,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,4065,4146,3802,10591,3429,10556,10654,10804,3430,10583,10639,4604,10473,10502,3577,10733,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,4237,4609,4596,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475])). % 199.99/201.08 cnf(10946,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x109461),x109461))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(10957,plain, % 199.99/201.08 (~P1(f317(f317(f162(x109571),f103(x109571)),x109572))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(10964,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x109641),f317(a102,x109641)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(10966,plain, % 199.99/201.08 (P1(f317(f317(f226(a1),f317(f317(f23(a1),x109661),f72(a1))),x109661))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,10861,3871,3413,4608,10433,10436,10462,10588,10763,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4065,4146,3802,10591,3429,10556,10654,10804,10868,10946,3430,10583,10639,10873,4604,10473,10502,3577,10733,4615,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,4237,4609,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744])). % 199.99/201.08 cnf(10967,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x109671),x109671))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(10972,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x109721),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(10987,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x109871),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(10990,plain, % 199.99/201.08 (~P1(f317(f317(f226(f905(x109901,a894)),x109902),f178(f905(x109901,a894))))), % 199.99/201.08 inference(rename_variables,[],[4624])). % 199.99/201.08 cnf(10993,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x109931),x109931))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(10996,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x109961),x109961))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11010,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x110101),f317(f317(f23(a898),x110101),x110102)))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,10861,3871,3413,4608,10433,10436,10462,10588,10763,10972,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,3430,10583,10639,10873,3431,4604,10473,10502,3577,10733,4615,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,4237,4609,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,4629,4630,10647,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910])). % 199.99/201.08 cnf(11011,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x110111),x110111))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(11020,plain, % 199.99/201.08 (~P1(f317(f317(f319(x110201),x110202),f178(f905(x110201,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11027,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x110271),x110271))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11030,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x110301,a894)),f317(f300(x110302,x110301,x110303),f317(f301(x110302,x110301,x110303),x110304))),x110304))), % 199.99/201.08 inference(rename_variables,[],[4292])). % 199.99/201.08 cnf(11039,plain, % 199.99/201.08 (E(f317(f300(x110391,x110391,f5(x110391)),x110392),x110392)), % 199.99/201.08 inference(rename_variables,[],[3483])). % 199.99/201.08 cnf(11044,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x110441))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(11047,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x110471),x110471))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11050,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x110501),x110501))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(11052,plain, % 199.99/201.08 (~P32(x110521,f178(f905(x110522,a894)),x110523)), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,3430,10583,10639,10873,3431,4604,10473,10502,11011,3577,10733,4615,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,4237,4609,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303])). % 199.99/201.08 cnf(11059,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x110591),x110591))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(11070,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x110701),f317(f317(f75(a898),x110701),x110701)))), % 199.99/201.08 inference(rename_variables,[],[3686])). % 199.99/201.08 cnf(11076,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x110761),f317(a102,f317(f317(f74(a898),x110762),x110761))))), % 199.99/201.08 inference(rename_variables,[],[3869])). % 199.99/201.08 cnf(11083,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x110831),x110831))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11086,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x110861),x110861))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(11089,plain, % 199.99/201.08 (~E(f317(a102,x110891),x110891)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11093,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x110931,x110931)),x110932),f297(x110931,f232(f905(f904(x110931,x110931),a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,4615,11020,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,4237,4609,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570])). % 199.99/201.08 cnf(11094,plain, % 199.99/201.08 (P1(f317(f317(f319(x110941),x110942),f232(f905(x110941,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11099,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x110991),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(11101,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x111011,a894)),x111012),f31(f905(x111011,a894),f317(f298(x111011),x111012))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,4615,11020,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,4237,4609,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624])). % 199.99/201.08 cnf(11114,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x111141))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(11121,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x111211),x111211))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11130,plain, % 199.99/201.08 (~P1(f317(f317(f319(x111301),x111302),f178(f905(x111301,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11132,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x111321,a894)),f32(f905(x111321,a894),f317(f298(x111321),x111322))),x111322))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,4615,11020,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901])). % 199.99/201.08 cnf(11134,plain, % 199.99/201.08 (E(f317(f317(f92(f905(x111341,a894)),f317(f317(f92(f905(x111341,a894)),x111342),f317(f73(f905(x111341,a894)),x111343))),x111343),f178(f905(x111341,a894)))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,4615,11020,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903])). % 199.99/201.08 cnf(11137,plain, % 199.99/201.08 (P1(f317(f317(f319(f899(x111371)),x111372),f151(x111371,f232(f905(x111371,a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913])). % 199.99/201.08 cnf(11138,plain, % 199.99/201.08 (P1(f317(f317(f319(x111381),x111382),f232(f905(x111381,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11141,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x111411),f899(x111411))),f317(f317(f242(f899(x111411),f899(x111411)),x111412),f103(x111411))),f135(x111411,x111413)))), % 199.99/201.08 inference(rename_variables,[],[4632])). % 199.99/201.08 cnf(11150,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x111501,x111501)),x111502),f253(x111501,f178(f905(x111501,a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047])). % 199.99/201.08 cnf(11151,plain, % 199.99/201.08 (~P1(f317(f317(f319(x111511),x111512),f178(f905(x111511,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11153,plain, % 199.99/201.08 (~P1(f317(f317(f319(x111531),x111532),f317(f301(x111531,x111533,x111534),f178(f905(x111533,a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,3359,4584,10456,3323,10526,4632,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,11151,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,3868,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078])). % 199.99/201.08 cnf(11154,plain, % 199.99/201.08 (~P1(f317(f317(f319(x111541),x111542),f178(f905(x111541,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11157,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x111571,a894)),x111572),f317(f317(f299(x111571),x111573),x111572)))), % 199.99/201.08 inference(rename_variables,[],[3866])). % 199.99/201.08 cnf(11160,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x111601),x111601))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11163,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x111631,a894)),x111632),f317(f317(f299(x111631),x111633),x111632)))), % 199.99/201.08 inference(rename_variables,[],[3866])). % 199.99/201.08 cnf(11166,plain, % 199.99/201.08 (E(f317(f300(x111661,x111661,f5(x111661)),x111662),x111662)), % 199.99/201.08 inference(rename_variables,[],[3483])). % 199.99/201.08 cnf(11168,plain, % 199.99/201.08 (P33(x111681,x111682,x111683,f104(x111681,f103(x111681)),f103(x111682))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,3225,3274,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,11039,3359,4584,10456,3323,10526,4632,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,11151,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,3866,11157,3868,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184])). % 199.99/201.08 cnf(11181,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x111811,a894)),x111812),f317(f317(f299(x111811),x111813),x111812)))), % 199.99/201.08 inference(rename_variables,[],[3866])). % 199.99/201.08 cnf(11192,plain, % 199.99/201.08 (~E(f317(a102,x111921),f2(a898))), % 199.99/201.08 inference(rename_variables,[],[4577])). % 199.99/201.08 cnf(11195,plain, % 199.99/201.08 (~P1(f317(f317(f162(x111951),f103(x111951)),x111952))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(11199,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),f317(a102,x111991)),x111991)),f297(a898,a307)))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,4577,10628,10728,3225,3274,3389,10465,10468,10563,10566,3366,3264,3328,3260,3288,3271,3890,3483,11039,3359,4584,10456,3323,10526,4632,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,3785,4146,3802,10591,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,11151,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,4020,3866,11157,11163,3868,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506])). % 199.99/201.08 cnf(11208,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x112081),f317(a102,x112081)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(11218,plain, % 199.99/201.08 (~E(f317(f300(x112181,f905(x112181,a894),x112182),x112183),f317(f298(x112181),x112183))), % 199.99/201.08 inference(rename_variables,[],[4613])). % 199.99/201.08 cnf(11221,plain, % 199.99/201.08 (~P1(f317(f317(f319(x112211),x112212),f178(f905(x112211,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11224,plain, % 199.99/201.08 (~P1(f317(f317(f319(x112241),x112242),f178(f905(x112241,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11227,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x112271,x112271)),f317(f317(f242(x112271,x112271),x112272),x112273)),f143(x112271,f103(f905(x112271,a898)))))), % 199.99/201.08 inference(rename_variables,[],[4631])). % 199.99/201.08 cnf(11230,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x112301,x112301)),f317(f317(f242(x112301,x112301),x112302),x112303)),f143(x112301,f103(f905(x112301,a898)))))), % 199.99/201.08 inference(rename_variables,[],[4631])). % 199.99/201.08 cnf(11235,plain, % 199.99/201.08 (~P1(f317(f317(f319(x112351),x112352),f178(f905(x112351,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11238,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x112381,x112381)),f317(f317(f242(x112381,x112381),x112382),x112382)),f297(x112381,x112383)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(11241,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x112411,a894)),f317(f162(x112411),f166(x112411,x112412,x112413))),f317(f162(x112411),x112412)))), % 199.99/201.08 inference(rename_variables,[],[4112])). % 199.99/201.08 cnf(11244,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x112441,a894)),x112442),f232(f905(x112441,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(11260,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x112601,a894)),f178(f905(x112601,a894))),x112602))), % 199.99/201.08 inference(rename_variables,[],[3868])). % 199.99/201.08 cnf(11271,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x112711),f899(x112711))),f317(f317(f242(f899(x112711),f899(x112711)),x112712),f103(x112711))),f137(x112711,x112713)))), % 199.99/201.08 inference(rename_variables,[],[4633])). % 199.99/201.08 cnf(11282,plain, % 199.99/201.08 (~E(f317(a102,x112821),x112821)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11285,plain, % 199.99/201.08 (~E(f317(a102,x112851),x112851)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11292,plain, % 199.99/201.08 (~E(f317(a102,x112921),f2(a898))), % 199.99/201.08 inference(rename_variables,[],[4577])). % 199.99/201.08 cnf(11294,plain, % 199.99/201.08 (E(f317(x112941,f317(f85(x112942,x112943,f232(f905(x112942,a894)),x112941),f317(x112941,x112944))),f317(x112941,x112944))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,3323,10526,4196,4055,4632,11141,4633,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,11151,11154,11221,11224,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748])). % 199.99/201.08 cnf(11303,plain, % 199.99/201.08 (~E(f317(a102,x113031),x113031)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11306,plain, % 199.99/201.08 (~E(f317(a102,x113061),x113061)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11308,plain, % 199.99/201.08 (~P25(x113081,f905(x113081,a894),x113082,x113083,f317(f298(x113081),x113083))), % 199.99/201.08 inference(scs_inference,[],[3409,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3323,10526,4196,4055,4632,11141,4633,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,11151,11154,11221,11224,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787])). % 199.99/201.08 cnf(11311,plain, % 199.99/201.08 (P24(x113111,x113111,f5(x113111),x113112)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(11316,plain, % 199.99/201.08 (~E(f317(f300(x113161,f905(x113161,a894),x113162),x113163),f317(f298(x113161),x113163))), % 199.99/201.08 inference(rename_variables,[],[4613])). % 199.99/201.08 cnf(11321,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x113211,a894)),x113212),f232(f905(x113211,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(11337,plain, % 199.99/201.08 (~P1(f317(f317(f319(x113371),x113372),f178(f905(x113371,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11340,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x113401)),x113401))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(11345,plain, % 199.99/201.08 (~P1(f317(f317(f319(x113451),x113452),f178(f905(x113451,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11355,plain, % 199.99/201.08 (~P1(f317(f317(f319(a898),f317(a102,f317(f132(a898,a898,f74(a898),f2(a898)),x113551))),f317(f162(a898),x113551)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,4632,11141,4633,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,11151,11154,11221,11224,11235,11337,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971])). % 199.99/201.08 cnf(11356,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x113561)),x113561))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(11359,plain, % 199.99/201.08 (~P1(f317(f317(f319(x113591),x113592),f178(f905(x113591,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11365,plain, % 199.99/201.08 (E(f317(f126(x113651,f232(f905(x113652,a894))),f719(x113653,x113654,f317(f317(f141(x113651),x113654),x113653),f232(f905(x113652,a894)),x113651)),x113653)), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,4632,11141,4633,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048])). % 199.99/201.08 cnf(11368,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x113681,x113681)),f317(f317(f242(x113681,x113681),x113682),x113682)),f297(x113681,x113683)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(11371,plain, % 199.99/201.08 (P1(f317(f317(f319(x113711),x113712),f232(f905(x113711,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11374,plain, % 199.99/201.08 (P1(f317(f317(f319(x113741),x113742),f232(f905(x113741,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11381,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x113811),f899(x113811))),f317(f317(f242(f899(x113811),f899(x113811)),x113812),f103(x113811))),f135(x113811,x113813)))), % 199.99/201.08 inference(rename_variables,[],[4632])). % 199.99/201.08 cnf(11384,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x113841),f899(x113841))),f317(f317(f242(f899(x113841),f899(x113841)),x113842),f103(x113841))),f137(x113841,x113843)))), % 199.99/201.08 inference(rename_variables,[],[4633])). % 199.99/201.08 cnf(11387,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x113871),f899(x113871))),f317(f317(f242(f899(x113871),f899(x113871)),x113872),f103(x113871))),f147(x113871,x113873)))), % 199.99/201.08 inference(rename_variables,[],[4634])). % 199.99/201.08 cnf(11389,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x113891),f899(x113891))),f317(f317(f242(f899(x113891),f899(x113891)),f103(x113891)),x113892)),f317(f276(f899(x113891),f899(x113891)),f135(x113891,x113893))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,4624,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187])). % 199.99/201.08 cnf(11392,plain, % 199.99/201.08 (~P1(f317(f317(f226(f905(x113921,a894)),x113922),f178(f905(x113921,a894))))), % 199.99/201.08 inference(rename_variables,[],[4624])). % 199.99/201.08 cnf(11394,plain, % 199.99/201.08 (~P1(f317(f317(f319(x113941),x113942),f317(f300(x113943,x113941,x113944),f178(f905(x113943,a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,4624,10990,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212])). % 199.99/201.08 cnf(11395,plain, % 199.99/201.08 (~P1(f317(f317(f319(x113951),x113952),f178(f905(x113951,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11399,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x113991,a894)),x113992),f317(f317(f91(f905(x113991,a894)),x113993),f232(f905(x113991,a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,4624,10990,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241])). % 199.99/201.08 cnf(11400,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x114001,a894)),x114002),f232(f905(x114001,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(11402,plain, % 199.99/201.08 (~P57(f899(x114021),f148(x114021,x114022))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,4624,10990,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310])). % 199.99/201.08 cnf(11406,plain, % 199.99/201.08 (~P1(f317(f317(f245(x114061,x114062,a894,f317(f162(x114063),f103(x114063))),x114064),x114065))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,4624,10990,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,4020,3866,11157,11163,3868,10894,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351])). % 199.99/201.08 cnf(11407,plain, % 199.99/201.08 (~P1(f317(f317(f162(x114071),f103(x114071)),x114072))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(11412,plain, % 199.99/201.08 (~P1(f317(f317(f319(x114121),x114122),f178(f905(x114121,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11415,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x114151,x114151)),f317(f317(f242(x114151,x114151),x114152),x114153)),f143(x114151,f103(f905(x114151,a898)))))), % 199.99/201.08 inference(rename_variables,[],[4631])). % 199.99/201.08 cnf(11420,plain, % 199.99/201.08 (~P1(f317(f317(f319(x114201),x114202),f178(f905(x114201,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11422,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x114221,a894)),f317(f275(x114222,x114221,f178(f905(f904(x114222,x114221),a894))),x114223)),x114224))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,4624,10990,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,4020,3866,11157,11163,3868,10894,11260,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419])). % 199.99/201.08 cnf(11423,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x114231,a894)),f178(f905(x114231,a894))),x114232))), % 199.99/201.08 inference(rename_variables,[],[3868])). % 199.99/201.08 cnf(11426,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x114261,x114261)),f317(f317(f242(x114261,x114261),x114262),x114262)),f297(x114261,x114263)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(11428,plain, % 199.99/201.08 (~P33(x114281,x114282,x114283,f317(f317(f144(x114284,x114281),x114285),f317(a102,f103(x114284))),f103(x114282))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,11368,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,4624,10990,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,4020,3866,11157,11163,3868,10894,11260,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427])). % 199.99/201.08 cnf(11432,plain, % 199.99/201.08 (P33(x114321,x114322,x114323,f317(f317(f144(x114324,x114321),x114325),f104(x114324,f103(x114324))),f103(x114322))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,11368,4632,11141,11381,4633,11271,4634,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,4624,10990,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,4020,3866,11157,11163,3868,10894,11260,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450])). % 199.99/201.08 cnf(11437,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x114371),f899(x114371))),f317(f317(f242(f899(x114371),f899(x114371)),x114372),f103(x114371))),f147(x114371,x114373)))), % 199.99/201.08 inference(rename_variables,[],[4634])). % 199.99/201.08 cnf(11444,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x114441),f899(x114441))),f317(f317(f242(f899(x114441),f899(x114441)),f103(x114441)),x114442)),f135(x114441,x114443)))), % 199.99/201.08 inference(rename_variables,[],[4635])). % 199.99/201.08 cnf(11452,plain, % 199.99/201.08 (P1(f317(f317(f319(x114521),x114522),f232(f905(x114521,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11457,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x114571,a894)),f178(f905(x114571,a894))),x114572))), % 199.99/201.08 inference(rename_variables,[],[3868])). % 199.99/201.08 cnf(11460,plain, % 199.99/201.08 (~P1(f317(f317(f319(x114601),x114602),f178(f905(x114601,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11463,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x114631,a894)),x114632),f232(f905(x114631,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(11467,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x114671,a894)),f317(f275(x114672,x114671,x114673),f178(f905(x114672,a894)))),x114674))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,11368,4632,11141,11381,4633,11271,4634,11387,4635,4636,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697])). % 199.99/201.08 cnf(11468,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x114681,a894)),f178(f905(x114681,a894))),x114682))), % 199.99/201.08 inference(rename_variables,[],[3868])). % 199.99/201.08 cnf(11470,plain, % 199.99/201.08 (~P1(f317(f60(a898,x114701,x114702,x114703,f232(f905(a898,a894))),x114704))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,4613,11218,3530,3323,10526,4196,4055,11238,11368,4632,11141,11381,4633,11271,4634,11387,4635,4636,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,3487,10855,10888,10897,10900,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718])). % 199.99/201.08 cnf(11481,plain, % 199.99/201.08 (P1(f317(f232(f905(x114811,a894)),x114812))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(11489,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x114891),f899(x114891))),f317(f317(f242(f899(x114891),f899(x114891)),x114892),f103(x114891))),f135(x114891,x114893)))), % 199.99/201.08 inference(rename_variables,[],[4632])). % 199.99/201.08 cnf(11492,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x114921),f899(x114921))),f317(f317(f242(f899(x114921),f899(x114921)),x114922),f103(x114921))),f137(x114921,x114923)))), % 199.99/201.08 inference(rename_variables,[],[4633])). % 199.99/201.08 cnf(11495,plain, % 199.99/201.08 (~E(f317(f317(f141(x114951),x114952),x114953),x114953)), % 199.99/201.08 inference(rename_variables,[],[4584])). % 199.99/201.08 cnf(11498,plain, % 199.99/201.08 (~E(f317(a102,x114981),x114981)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11500,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115001),x115002),f317(f275(x115003,x115001,x115004),f178(f905(x115003,a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,3530,3323,10526,4196,4055,11238,11368,4632,11141,11381,4633,11271,11384,4634,11387,4635,11444,4636,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,3487,10855,10888,10897,10900,10903,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834])). % 199.99/201.08 cnf(11501,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115011),x115012),f178(f905(x115011,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11506,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115061),x115062),f178(f905(x115061,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11509,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115091),x115092),f178(f905(x115091,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11512,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(f899(x115121),f899(x115121))),f317(f317(f242(f899(x115121),f899(x115121)),x115122),x115122)),f148(x115121,f297(x115121,x115123))))), % 199.99/201.08 inference(rename_variables,[],[4189])). % 199.99/201.08 cnf(11515,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x115151),f899(x115151))),f317(f317(f242(f899(x115151),f899(x115151)),x115152),f103(x115151))),f135(x115151,x115153)))), % 199.99/201.08 inference(rename_variables,[],[4632])). % 199.99/201.08 cnf(11525,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x115251,x115251)),f317(f317(f242(x115251,x115251),x115252),x115253)),f143(x115251,f103(f905(x115251,a898)))))), % 199.99/201.08 inference(rename_variables,[],[4631])). % 199.99/201.08 cnf(11528,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115281),x115282),f178(f905(x115281,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11531,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115311),x115312),f178(f905(x115311,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11534,plain, % 199.99/201.08 (P1(f317(f317(f319(x115341),x115342),f232(f905(x115341,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11537,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x115371),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(11542,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x115421,x115421)),f317(f317(f242(x115421,x115421),x115422),x115423)),f143(x115421,f103(f905(x115421,a898)))))), % 199.99/201.08 inference(rename_variables,[],[4631])). % 199.99/201.08 cnf(11551,plain, % 199.99/201.08 (~E(f317(f300(x115511,f905(x115511,a894),x115512),x115513),f317(f298(x115511),x115513))), % 199.99/201.08 inference(rename_variables,[],[4613])). % 199.99/201.08 cnf(11554,plain, % 199.99/201.08 (~E(f317(f300(x115541,f905(x115541,a894),x115542),x115543),f317(f298(x115541),x115543))), % 199.99/201.08 inference(rename_variables,[],[4613])). % 199.99/201.08 cnf(11556,plain, % 199.99/201.08 (E(f317(f317(f242(a898,a898),f618(f297(a898,a307),a307,a898,f317(f317(f242(a898,a898),x115561),f317(a102,x115561)),a898,a898)),f619(f297(a898,a307),a307,a898,f317(f317(f242(a898,a898),x115561),f317(a102,x115561)),a898,a898)),f317(f317(f242(a898,a898),x115561),f317(a102,x115561)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,11316,11551,3530,3323,10526,4196,4055,11238,11368,4632,11141,11381,11489,4633,11271,11384,4634,11387,4635,11444,4636,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4189,11512,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,11452,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,3487,10855,10888,10897,10900,10903,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,11415,11525,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079])). % 199.99/201.08 cnf(11559,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x115591),f899(x115591))),f317(f317(f242(f899(x115591),f899(x115591)),x115592),f103(x115591))),f135(x115591,x115593)))), % 199.99/201.08 inference(rename_variables,[],[4632])). % 199.99/201.08 cnf(11565,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x115651),f899(x115651))),f317(f317(f242(f899(x115651),f899(x115651)),x115652),f103(x115651))),f135(x115651,x115653)))), % 199.99/201.08 inference(rename_variables,[],[4632])). % 199.99/201.08 cnf(11568,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115681),x115682),f178(f905(x115681,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11570,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x115701,x115702)),f317(f317(f242(x115701,x115702),f317(x115703,x115704)),f317(x115705,x115704))),f317(f300(f904(x115706,x115706),f904(x115701,x115702),f248(x115706,x115701,x115706,x115702,x115703,x115705)),f297(x115706,x115707))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,11316,11551,3530,3323,10526,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4189,11512,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,11452,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,3487,10855,10888,10897,10900,10903,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,11415,11525,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208])). % 199.99/201.08 cnf(11573,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115731),x115732),f178(f905(x115731,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11576,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115761),x115762),f178(f905(x115761,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11579,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115791),x115792),f178(f905(x115791,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11582,plain, % 199.99/201.08 (~P1(f317(f317(f319(x115821),x115822),f178(f905(x115821,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11585,plain, % 199.99/201.08 (P1(f317(f317(f319(x115851),f317(x115852,x115853)),f317(f300(x115854,x115851,x115852),f232(f905(x115854,a894)))))), % 199.99/201.08 inference(rename_variables,[],[4020])). % 199.99/201.08 cnf(11587,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x115871,x115872)),x115873),f317(f300(f904(x115874,x115874),f904(x115871,x115872),f248(x115874,x115871,x115874,x115872,x115875,x115876)),f143(x115874,f103(f905(x115874,a898))))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,4577,10628,10728,11192,3225,3274,3389,10465,10468,10563,10566,3366,3878,3264,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,11316,11551,3530,3323,10526,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,4608,10433,10436,10462,10588,10763,10972,10987,11099,4619,3858,3630,4002,3456,3458,3432,4605,4579,4189,11512,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,11452,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,3487,10855,10888,10897,10900,10903,3519,3937,3876,10505,4612,10453,10843,10846,11340,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4626,10754,4631,11227,11230,11415,11525,11542,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380])). % 199.99/201.08 cnf(11588,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x115881,x115881)),f317(f317(f242(x115881,x115881),x115882),x115883)),f143(x115881,f103(f905(x115881,a898)))))), % 199.99/201.08 inference(rename_variables,[],[4631])). % 199.99/201.08 cnf(11596,plain, % 199.99/201.08 (E(f104(x115961,f103(x115961)),f103(x115961))), % 199.99/201.08 inference(rename_variables,[],[3274])). % 199.99/201.08 cnf(11599,plain, % 199.99/201.08 (~E(f317(a102,x115991),x115991)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11606,plain, % 199.99/201.08 (~E(f317(a102,x116061),x116061)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11611,plain, % 199.99/201.08 (E(f317(f274(x116111,x116111),f253(x116111,x116112)),x116112)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(11614,plain, % 199.99/201.08 (E(f317(f274(x116141,x116141),f253(x116141,x116142)),x116142)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(11620,plain, % 199.99/201.08 (~E(f317(a102,x116201),x116201)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11625,plain, % 199.99/201.08 (~E(f317(f317(f74(a1),x116251),x116251),a87)), % 199.99/201.08 inference(rename_variables,[],[4582])). % 199.99/201.08 cnf(11632,plain, % 199.99/201.08 (E(f317(f317(f23(a898),f2(a898)),x116321),f2(a898))), % 199.99/201.08 inference(rename_variables,[],[3345])). % 199.99/201.08 cnf(11635,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x116351),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(11642,plain, % 199.99/201.08 (E(f317(f317(f74(a1),f317(f317(f75(a1),x116421),f317(f317(f30(a1),x116422),x116421))),f40(a1,x116422,x116421)),x116422)), % 199.99/201.08 inference(rename_variables,[],[3969])). % 199.99/201.08 cnf(11668,plain, % 199.99/201.08 (~E(f317(a102,x116681),x116681)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11671,plain, % 199.99/201.08 (~E(f317(a102,x116711),x116711)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11697,plain, % 199.99/201.08 (~P1(f317(f317(f162(x116971),f103(x116971)),x116972))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(11703,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),f2(a898)),f317(a102,x117031)))), % 199.99/201.08 inference(rename_variables,[],[3506])). % 199.99/201.08 cnf(11704,plain, % 199.99/201.08 (~E(f317(a102,x117041),x117041)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11707,plain, % 199.99/201.08 (P1(f317(f317(f319(x117071),x117072),f232(f905(x117071,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11719,plain, % 199.99/201.08 (~E(f317(a102,x117191),x117191)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11722,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x117221),x117221))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(11729,plain, % 199.99/201.08 (P1(f317(f60(x117291,x117292,x117293,x117294,f178(f905(x117291,a894))),x117294))), % 199.99/201.08 inference(rename_variables,[],[4331])). % 199.99/201.08 cnf(11730,plain, % 199.99/201.08 (E(f317(f274(x117301,x117301),f253(x117301,x117302)),x117302)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(11743,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x117431),x117432)),x117432))), % 199.99/201.08 inference(rename_variables,[],[4627])). % 199.99/201.08 cnf(11746,plain, % 199.99/201.08 (~P1(f317(f317(f226(a1),f317(f90(a1),x117461)),f2(a1)))), % 199.99/201.08 inference(rename_variables,[],[4619])). % 199.99/201.08 cnf(11760,plain, % 199.99/201.08 (~E(f317(f317(f229(a898),f317(a102,x117601)),x117601),f317(a102,x117601))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,3349,4577,10628,10728,11192,3041,3050,3054,3055,3068,3083,3087,3094,3097,3104,3105,3109,3127,3165,3166,3176,3188,3210,3225,4569,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,3366,3878,3264,3969,11642,3328,3260,3288,3271,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,3506,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,4619,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,11086,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,11452,11534,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,3487,10855,10888,10897,10900,10903,3519,3937,3876,10505,4612,10453,10843,10846,11340,11356,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,10852,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431])). % 199.99/201.08 cnf(11769,plain, % 199.99/201.08 (E(f317(f274(x117691,x117691),f253(x117691,x117692)),x117692)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(11774,plain, % 199.99/201.08 (E(f317(f274(x117741,x117741),f253(x117741,x117742)),x117742)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(11777,plain, % 199.99/201.08 (~P1(f317(f317(f226(a1),f317(f90(a1),x117771)),f2(a1)))), % 199.99/201.08 inference(rename_variables,[],[4619])). % 199.99/201.08 cnf(11782,plain, % 199.99/201.08 (~E(f317(a102,x117821),x117821)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11791,plain, % 199.99/201.08 (~P1(f317(f317(f162(x117911),f103(x117911)),x117912))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(11811,plain, % 199.99/201.08 (E(f40(a898,x118111,x118111),f2(a898))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,3349,4577,10628,10728,11192,3041,3050,3051,3054,3055,3068,3083,3087,3094,3097,3104,3105,3109,3127,3165,3166,3176,3183,3188,3191,3192,3196,3197,3210,3225,4569,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,3366,3878,3264,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,3506,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,4619,11746,11777,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,11086,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,11452,11534,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,4612,10453,10843,10846,11340,11356,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,10852,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589])). % 199.99/201.08 cnf(11814,plain, % 199.99/201.08 (~P1(f317(f317(f226(a1),f317(f90(a1),x118141)),f2(a1)))), % 199.99/201.08 inference(rename_variables,[],[4619])). % 199.99/201.08 cnf(11817,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x118171),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(11818,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x118181),f317(a102,x118181)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(11821,plain, % 199.99/201.08 (~P1(f317(f317(f226(a1),f317(f90(a1),x118211)),f2(a1)))), % 199.99/201.08 inference(rename_variables,[],[4619])). % 199.99/201.08 cnf(11823,plain, % 199.99/201.08 (~P15(x118231,f319(f905(x118232,a894)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,3349,4577,10628,10728,11192,3041,3050,3051,3054,3055,3068,3083,3087,3094,3097,3104,3105,3109,3127,3165,3166,3176,3183,3188,3191,3192,3196,3197,3210,3225,4569,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,3366,3878,3264,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,3871,3413,3506,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,4619,11746,11777,11814,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,11086,3431,4604,10473,10502,11011,11050,3577,10733,10824,11094,11138,11371,11374,11452,11534,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,4612,10453,10843,10846,11340,11356,3450,10891,11044,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,10852,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595])). % 199.99/201.08 cnf(11824,plain, % 199.99/201.08 (~P1(f317(f317(f319(x118241),x118242),f178(f905(x118241,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11825,plain, % 199.99/201.08 (P1(f317(f317(f319(f905(x118251,a894)),x118252),f317(f298(x118251),x118252)))), % 199.99/201.08 inference(rename_variables,[],[3785])). % 199.99/201.08 cnf(11840,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x118401)),x118401))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(11841,plain, % 199.99/201.08 (~E(f317(a102,x118411),x118411)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11851,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x118511),x118512)),x118511))), % 199.99/201.08 inference(rename_variables,[],[4628])). % 199.99/201.08 cnf(11854,plain, % 199.99/201.08 (~P1(f317(f317(f226(a1),f317(f90(a1),x118541)),f2(a1)))), % 199.99/201.08 inference(rename_variables,[],[4619])). % 199.99/201.08 cnf(11857,plain, % 199.99/201.08 (~E(f317(a102,x118571),x118571)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(11870,plain, % 199.99/201.08 (P1(f317(f317(f319(x118701),x118702),f317(f317(f299(x118701),x118702),x118703)))), % 199.99/201.08 inference(rename_variables,[],[3733])). % 199.99/201.08 cnf(11871,plain, % 199.99/201.08 (~P1(f317(f317(f225(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x118711)))))), % 199.99/201.08 inference(rename_variables,[],[4629])). % 199.99/201.08 cnf(11874,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),f317(f317(f23(a898),x118741),x118742)),f317(a102,x118741)))), % 199.99/201.08 inference(rename_variables,[],[3871])). % 199.99/201.08 cnf(11877,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f40(a898,x118771,x118772)),x118771))), % 199.99/201.08 inference(rename_variables,[],[3876])). % 199.99/201.08 cnf(11883,plain, % 199.99/201.08 (E(f317(f274(x118831,x118831),f253(x118831,x118832)),x118832)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(11888,plain, % 199.99/201.08 (E(f317(f317(f124(x118881),f159(x118881,x118882,x118883)),f159(x118881,x118884,x118883)),f317(f317(f124(x118881),f159(x118881,x118884,x118883)),f159(x118881,x118882,x118883)))), % 199.99/201.08 inference(rename_variables,[],[3984])). % 199.99/201.08 cnf(11893,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x118931)),x118931))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(11902,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x119021),x119021))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(11905,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f40(a898,x119051,x119052)),x119051))), % 199.99/201.08 inference(rename_variables,[],[3876])). % 199.99/201.08 cnf(11906,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x119061))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(11908,plain, % 199.99/201.08 (~P1(f317(f317(f225(a1),f72(a1)),f2(a1)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3349,4577,10628,10728,11192,3040,3041,3050,3051,3054,3055,3068,3083,3087,3094,3097,3104,3105,3109,3127,3165,3166,3168,3176,3183,3188,3191,3192,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,3871,3413,3506,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,4619,11746,11777,11814,11821,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,3430,10583,10639,10873,10967,11086,3431,4604,10473,10502,11011,11050,11059,3577,10733,10824,11094,11138,11371,11374,11452,11534,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,4612,10453,10843,10846,11340,11356,11840,3450,10891,11044,11114,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,4630,10647,4292,4200,3899,4627,10478,10481,10849,10852,4628,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879])). % 199.99/201.08 cnf(11923,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x119231),x119231))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(11926,plain, % 199.99/201.08 (P1(f317(f317(f319(x119261),f317(x119262,x119263)),f317(f300(x119264,x119261,x119262),f232(f905(x119264,a894)))))), % 199.99/201.08 inference(rename_variables,[],[4020])). % 199.99/201.08 cnf(11927,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x119271)),x119271))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(11930,plain, % 199.99/201.08 (P1(f317(f317(f319(x119301),f317(x119302,x119303)),f317(f300(x119304,x119301,x119302),f232(f905(x119304,a894)))))), % 199.99/201.08 inference(rename_variables,[],[4020])). % 199.99/201.08 cnf(11931,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x119311),x119312)),x119312))), % 199.99/201.08 inference(rename_variables,[],[4627])). % 199.99/201.08 cnf(11936,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x119361),x119362)),x119361))), % 199.99/201.08 inference(rename_variables,[],[4628])). % 199.99/201.08 cnf(11939,plain, % 199.99/201.08 (~P1(f317(f317(f162(x119391),f103(x119391)),x119392))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(11942,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x119421),x119421))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11950,plain, % 199.99/201.08 (~P34(x119501,x119502,f103(x119501))), % 199.99/201.08 inference(rename_variables,[],[4591])). % 199.99/201.08 cnf(11953,plain, % 199.99/201.08 (P1(f317(f317(f319(x119531),x119532),f232(f905(x119531,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(11954,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x119541)),x119541))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(11967,plain, % 199.99/201.08 (~P1(f317(f317(f319(x119671),x119672),f178(f905(x119671,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(11970,plain, % 199.99/201.08 (E(f317(f317(f16(x119701,x119702),x119703),x119704),x119703)), % 199.99/201.08 inference(rename_variables,[],[3420])). % 199.99/201.08 cnf(11973,plain, % 199.99/201.08 (E(f317(f317(f16(x119731,x119732),x119733),x119734),x119733)), % 199.99/201.08 inference(rename_variables,[],[3420])). % 199.99/201.08 cnf(11985,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),f2(a898)),f317(a102,x119851)))), % 199.99/201.08 inference(rename_variables,[],[3506])). % 199.99/201.08 cnf(11988,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x119881),x119881))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(11993,plain, % 199.99/201.08 (P1(f317(f28(x119931),f317(f162(x119931),x119932)))), % 199.99/201.08 inference(rename_variables,[],[3468])). % 199.99/201.08 cnf(11996,plain, % 199.99/201.08 (P1(f317(f28(x119961),f317(f162(x119961),x119962)))), % 199.99/201.08 inference(rename_variables,[],[3468])). % 199.99/201.08 cnf(11999,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),x119991))),f317(f90(a1),x119992)))), % 199.99/201.08 inference(rename_variables,[],[3900])). % 199.99/201.08 cnf(12002,plain, % 199.99/201.08 (~P1(f317(f317(f319(x120021),x120022),f178(f905(x120021,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12018,plain, % 199.99/201.08 (~P1(f317(f317(f319(a898),f2(a898)),f317(f294(a898),x120181)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3349,4577,10628,10728,11192,3040,3041,3046,3050,3051,3054,3055,3068,3083,3087,3094,3097,3104,3105,3109,3127,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,4619,11746,11777,11814,11821,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,3430,10583,10639,10873,10967,11086,3431,3502,4604,10473,10502,11011,11050,11059,11902,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,3450,10891,11044,11114,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242])). % 199.99/201.08 cnf(12020,plain, % 199.99/201.08 (~P1(f317(f317(f319(a898),x120201),f317(f272(a898),f2(a898))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3349,4577,10628,10728,11192,3040,3041,3046,3050,3051,3054,3055,3068,3083,3087,3094,3097,3104,3105,3109,3127,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,4619,11746,11777,11814,11821,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,3430,10583,10639,10873,10967,11086,3431,3502,4604,10473,10502,11011,11050,11059,11902,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,3450,10891,11044,11114,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243])). % 199.99/201.08 cnf(12022,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),f40(a898,x120221,f178(a898))),x120221))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3349,4577,10628,10728,11192,3040,3041,3046,3050,3051,3054,3055,3068,3083,3087,3094,3097,3104,3105,3109,3127,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,4619,11746,11777,11814,11821,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,3430,10583,10639,10873,10967,11086,11722,3431,3502,4604,10473,10502,11011,11050,11059,11902,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,3450,10891,11044,11114,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275])). % 199.99/201.08 cnf(12023,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x120231),x120231))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12026,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x120261),f317(a102,x120261)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12029,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x120291),x120291))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12040,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x120401),x120401))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12043,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x120431),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(12048,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x120481),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(12057,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x120571))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(12058,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x120581)),x120581))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(12061,plain, % 199.99/201.08 (~P1(f317(f317(f162(x120611),f103(x120611)),x120612))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(12064,plain, % 199.99/201.08 (~P1(f317(f317(f162(x120641),f103(x120641)),x120642))), % 199.99/201.08 inference(rename_variables,[],[4611])). % 199.99/201.08 cnf(12070,plain, % 199.99/201.08 (~P1(f317(f317(f277(a898),f317(a102,f317(f317(f74(a898),f317(a102,f2(a898))),x120701))),f317(a102,f2(a898))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3349,4577,10628,10728,11192,3040,3041,3046,3050,3051,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,4619,11746,11777,11814,11821,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,3430,10583,10639,10873,10967,11086,11722,12023,12029,3431,3502,4604,10473,10502,11011,11050,11059,11902,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,3450,10891,11044,11114,11906,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499])). % 199.99/201.08 cnf(12072,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x120721),f317(a102,x120721)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12084,plain, % 199.99/201.08 (P1(f317(f317(f226(a1),f317(f73(a1),f72(a1))),f2(a1)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3349,4577,10628,10728,11192,3040,3041,3046,3049,3050,3051,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,3430,10583,10639,10873,10967,11086,11722,12023,12029,3431,3502,4604,10473,10502,11011,11050,11059,11902,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,3450,10891,11044,11114,11906,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556])). % 199.99/201.08 cnf(12087,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x120871)),x120871))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(12090,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x120901)),x120901))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(12093,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x120931)),x120931))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(12096,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x120961)),x120961))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(12099,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x120991),x120991))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12102,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x121021),x121021))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12105,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x121051),x121051))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12108,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x121081),x121081))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12124,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f317(f317(f23(a898),x121241),f317(a102,x121241))),f2(a898)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3349,4577,10628,10728,11192,3040,3041,3046,3049,3050,3051,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,3430,10583,10639,10873,10967,11086,11722,12023,12029,3431,3502,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,3450,10891,11044,11114,11906,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637])). % 199.99/201.08 cnf(12125,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x121251),x121251))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12128,plain, % 199.99/201.08 (P24(a898,a898,a102,x121281)), % 199.99/201.08 inference(rename_variables,[],[3629])). % 199.99/201.08 cnf(12130,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x121301),f317(f70(a1),x121301)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3629,3349,4577,10628,10728,11192,3040,3041,3046,3049,3050,3051,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,3431,3502,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,3450,10891,11044,11114,11906,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658])). % 199.99/201.08 cnf(12131,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x121311),x121311))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12142,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x121421),x121421))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12144,plain, % 199.99/201.08 (~P1(f317(f317(f162(x121441),f317(f126(x121441,x121442),f103(x121441))),x121443))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,3629,3349,4577,10628,10728,11192,3040,3041,3046,3049,3050,3051,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3878,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4065,10876,4112,3785,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,3431,3502,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,3450,10891,11044,11114,11906,3900,4237,3971,4609,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705])). % 199.99/201.08 cnf(12145,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x121451,a894)),f317(f162(x121451),f317(f126(x121451,x121452),x121453))),f317(f162(x121451),x121453)))), % 199.99/201.08 inference(rename_variables,[],[4065])). % 199.99/201.08 cnf(12152,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x121521),f317(a102,x121521)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12155,plain, % 199.99/201.08 (P1(f317(f317(f319(f905(x121551,a894)),x121552),f317(f298(x121551),x121552)))), % 199.99/201.08 inference(rename_variables,[],[3785])). % 199.99/201.08 cnf(12156,plain, % 199.99/201.08 (~E(f317(a102,x121561),x121561)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12161,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x121611),x121611))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12166,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x121661),x121661))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12177,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x121771,a894)),x121772),f317(f317(f299(x121771),x121773),x121772)))), % 199.99/201.08 inference(rename_variables,[],[3866])). % 199.99/201.08 cnf(12180,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x121801),x121801))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12181,plain, % 199.99/201.08 (~E(f317(a102,x121811),x121811)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12194,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x121941),x121941))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12195,plain, % 199.99/201.08 (~E(f317(a102,x121951),x121951)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12198,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x121981),x121981))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12201,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x122011),x122011))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12204,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x122041),x122041))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12207,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x122071),x122071))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12210,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x122101),x122101))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12213,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122131),x122131))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12216,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122161),x122161))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12217,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x122171),f317(a102,x122171)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12224,plain, % 199.99/201.08 (~E(f317(a102,x122241),x122241)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12229,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122291),x122291))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12230,plain, % 199.99/201.08 (~E(f317(a102,x122301),x122301)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12233,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x122331),x122331))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12250,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),x122501),x122501))), % 199.99/201.08 inference(rename_variables,[],[3430])). % 199.99/201.08 cnf(12255,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x122551))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(12271,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122711),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(12274,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122741),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(12277,plain, % 199.99/201.08 (~P1(f317(f317(f319(x122771),x122772),f178(f905(x122771,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12280,plain, % 199.99/201.08 (~P1(f317(f317(f319(x122801),x122802),f178(f905(x122801,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12283,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122831),x122831))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12285,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122851),f317(f317(f229(a898),x122851),x122852)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,3629,3349,4577,10628,10728,11192,3040,3041,3046,3049,3050,3051,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,3366,3375,3878,4182,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,3871,11874,3413,3506,11703,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4065,10876,4112,3785,11825,4146,3802,10591,10688,11244,11321,11400,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,3502,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,3450,10891,11044,11114,11906,12057,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,11181,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154])). % 199.99/201.08 cnf(12286,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122861),x122861))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12289,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122891),x122891))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12292,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x122921),x122921))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12295,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x122951),f317(a102,x122951)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12302,plain, % 199.99/201.08 (P1(f317(f317(f319(f905(x123021,a894)),x123022),f317(f298(x123021),x123022)))), % 199.99/201.08 inference(rename_variables,[],[3785])). % 199.99/201.08 cnf(12307,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x123071,a894)),x123072),f317(f317(f299(x123071),x123073),x123072)))), % 199.99/201.08 inference(rename_variables,[],[3866])). % 199.99/201.08 cnf(12314,plain, % 199.99/201.08 (~P1(f317(f317(f319(x123141),x123142),f178(f905(x123141,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12323,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x123231,a894)),x123232),f232(f905(x123231,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(12324,plain, % 199.99/201.08 (~E(f317(a102,x123241),x123241)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12330,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x123301),f317(a102,x123301)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12338,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(x123381,x123381)),x123382),f143(x123381,f103(f905(x123381,a898)))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,3629,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,3366,3375,3878,4182,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4065,10876,4112,3785,11825,12155,4146,3802,10591,10688,11244,11321,11400,11463,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,3502,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,3450,10891,11044,11114,11906,12057,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,11181,12177,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376])). % 199.99/201.08 cnf(12339,plain, % 199.99/201.08 (E(f317(f274(x123391,x123391),f253(x123391,x123392)),x123392)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(12350,plain, % 199.99/201.08 (~P1(f317(f317(f225(a898),f317(a102,x123501)),x123501))), % 199.99/201.08 inference(rename_variables,[],[4612])). % 199.99/201.08 cnf(12351,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x123511),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(12356,plain, % 199.99/201.08 (P1(f317(f28(x123561),f178(f905(x123561,a894))))), % 199.99/201.08 inference(rename_variables,[],[3502])). % 199.99/201.08 cnf(12357,plain, % 199.99/201.08 (~P1(f317(f317(f319(x123571),x123572),f178(f905(x123571,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12364,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x123641,a894)),f317(f162(x123641),f166(x123641,x123642,x123643))),f317(f162(x123641),x123642)))), % 199.99/201.08 inference(rename_variables,[],[4112])). % 199.99/201.08 cnf(12367,plain, % 199.99/201.08 (P24(x123671,x123671,f5(x123671),x123672)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12372,plain, % 199.99/201.08 (P1(f317(f317(f319(f905(x123721,a894)),x123722),f317(f298(x123721),x123722)))), % 199.99/201.08 inference(rename_variables,[],[3785])). % 199.99/201.08 cnf(12379,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x123791),x123791))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12382,plain, % 199.99/201.08 (~P1(f317(f317(f319(x123821),x123822),f178(f905(x123821,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12385,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x123851,a894)),x123852),f317(f317(f299(x123851),x123853),x123852)))), % 199.99/201.08 inference(rename_variables,[],[3866])). % 199.99/201.08 cnf(12386,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x123861,a894)),x123862),f232(f905(x123861,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(12393,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x123931),x123931))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12396,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x123961),x123961))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12399,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x123991),x123991))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12402,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x124021),x124021))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12405,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x124051),f317(a102,x124051)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12408,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x124081),f317(a102,x124081)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12411,plain, % 199.99/201.08 (P1(f317(f317(f277(a898),x124111),x124111))), % 199.99/201.08 inference(rename_variables,[],[3431])). % 199.99/201.08 cnf(12414,plain, % 199.99/201.08 (P1(f317(f317(f277(a898),x124141),x124141))), % 199.99/201.08 inference(rename_variables,[],[3431])). % 199.99/201.08 cnf(12417,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x124171,a894)),x124172),x124172))), % 199.99/201.08 inference(rename_variables,[],[3717])). % 199.99/201.08 cnf(12419,plain, % 199.99/201.08 (~P1(f317(f317(f225(a1),f317(f317(f23(a1),a77),a87)),f2(a1)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,11311,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,3629,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,3366,3375,3878,4182,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,11996,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4065,10876,4112,11241,3785,11825,12155,12302,4146,3802,10591,10688,11244,11321,11400,11463,12323,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,3450,10891,11044,11114,11906,12057,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,11181,12177,12307,3717,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765])). % 199.99/201.08 cnf(12424,plain, % 199.99/201.08 (P1(f317(f317(f319(f905(x124241,a894)),x124242),f317(f298(x124241),x124242)))), % 199.99/201.08 inference(rename_variables,[],[3785])). % 199.99/201.08 cnf(12430,plain, % 199.99/201.08 (~P1(f317(f317(f226(a1),f317(f317(f74(a1),a77),a77)),f2(a1)))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,11311,4590,4591,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,3629,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,3366,3375,3878,4182,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3483,11039,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3784,4467,4468,4582,3721,3933,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,11996,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4065,10876,4112,11241,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,3450,10891,11044,11114,11906,12057,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,11181,12177,12307,3717,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802])). % 199.99/201.08 cnf(12433,plain, % 199.99/201.08 (~E(f317(a102,x124331),x124331)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12434,plain, % 199.99/201.08 (E(f317(f300(x124341,x124341,f5(x124341)),x124342),x124342)), % 199.99/201.08 inference(rename_variables,[],[3483])). % 199.99/201.08 cnf(12437,plain, % 199.99/201.08 (P31(x124371,x124372,f103(x124371),f103(x124371))), % 199.99/201.08 inference(rename_variables,[],[3670])). % 199.99/201.08 cnf(12440,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x124401,a894)),f317(f162(x124401),f166(x124401,x124402,x124403))),f317(f162(x124401),x124402)))), % 199.99/201.08 inference(rename_variables,[],[4112])). % 199.99/201.08 cnf(12441,plain, % 199.99/201.08 (P1(f317(f28(x124411),f317(f162(x124411),x124412)))), % 199.99/201.08 inference(rename_variables,[],[3468])). % 199.99/201.08 cnf(12452,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x124521),x124521))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12455,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x124551),x124551))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12460,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x124601))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(12469,plain, % 199.99/201.08 (P13(a898,f317(f158(a898),f317(f317(f144(f899(x124691),a898),f179(f899(x124691))),f169(x124691,x124692))))), % 199.99/201.08 inference(rename_variables,[],[3980])). % 199.99/201.08 cnf(12472,plain, % 199.99/201.08 (P24(x124721,x124721,f5(x124721),x124722)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12475,plain, % 199.99/201.08 (P24(x124751,x124751,f5(x124751),x124752)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12478,plain, % 199.99/201.08 (P1(f317(f317(f319(f899(x124781)),f103(x124781)),f151(x124781,x124782)))), % 199.99/201.08 inference(rename_variables,[],[3621])). % 199.99/201.08 cnf(12481,plain, % 199.99/201.08 (~P1(f317(f317(f178(f905(x124811,f905(x124812,a894))),x124813),x124814))), % 199.99/201.08 inference(rename_variables,[],[4630])). % 199.99/201.08 cnf(12486,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x124861),x124861))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12487,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),f2(a898)),x124871))), % 199.99/201.08 inference(rename_variables,[],[3450])). % 199.99/201.08 cnf(12489,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),f2(a1)),f859(x124891,f178(f905(x124892,f905(x124893,a894))),f72(a1))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,11311,12367,12472,3670,4590,4591,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,3629,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,3366,3375,3878,4182,3264,3623,3969,11642,3328,3260,3288,3283,3271,3272,3890,3308,3483,11039,11166,3359,4053,4584,10456,10625,3420,11970,4613,11218,11316,11551,11554,3530,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,4632,11141,11381,11489,11515,11559,11565,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,3784,4467,4468,4582,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,11996,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4065,10876,4112,11241,12364,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,4020,11585,11926,3866,11157,11163,11181,12177,12307,3717,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,4292,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081])). % 199.99/201.08 cnf(12490,plain, % 199.99/201.08 (~P1(f317(f317(f178(f905(x124901,f905(x124902,a894))),x124903),x124904))), % 199.99/201.08 inference(rename_variables,[],[4630])). % 199.99/201.08 cnf(12493,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(f904(f899(x124931),f899(x124931)),a894)),f148(x124931,x124932)),f297(f899(x124931),f147(x124931,x124932))))), % 199.99/201.08 inference(rename_variables,[],[4117])). % 199.99/201.08 cnf(12499,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x124991,a894)),f317(f300(x124992,x124991,x124993),f317(f301(x124992,x124991,x124993),x124994))),x124994))), % 199.99/201.08 inference(rename_variables,[],[4292])). % 199.99/201.08 cnf(12502,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x125021,a894)),f317(f162(x125021),f166(x125021,x125022,x125023))),f317(f162(x125021),x125022)))), % 199.99/201.08 inference(rename_variables,[],[4112])). % 199.99/201.08 cnf(12503,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x125031,a894)),f317(f162(x125031),f317(f126(x125031,x125032),x125033))),f317(f162(x125031),x125033)))), % 199.99/201.08 inference(rename_variables,[],[4065])). % 199.99/201.08 cnf(12506,plain, % 199.99/201.08 (~P1(f317(f317(f226(f905(x125061,a894)),x125062),f178(f905(x125061,a894))))), % 199.99/201.08 inference(rename_variables,[],[4624])). % 199.99/201.08 cnf(12514,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x125141,a894)),f317(f300(x125142,x125141,x125143),f317(f301(x125142,x125141,x125143),x125144))),x125144))), % 199.99/201.08 inference(rename_variables,[],[4292])). % 199.99/201.08 cnf(12519,plain, % 199.99/201.08 (P1(f317(f317(f319(f899(x125191)),f103(x125191)),f151(x125191,x125192)))), % 199.99/201.08 inference(rename_variables,[],[3621])). % 199.99/201.08 cnf(12522,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x125221),f899(x125221))),f317(f317(f242(f899(x125221),f899(x125221)),x125222),f103(x125221))),f135(x125221,x125223)))), % 199.99/201.08 inference(rename_variables,[],[4632])). % 199.99/201.08 cnf(12525,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x125251),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(12530,plain, % 199.99/201.08 (~P1(f317(f317(f319(x125301),x125302),f178(f905(x125301,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12533,plain, % 199.99/201.08 (~P1(f317(f317(f178(f905(x125331,f905(x125332,a894))),x125333),x125334))), % 199.99/201.08 inference(rename_variables,[],[4630])). % 199.99/201.08 cnf(12536,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x125361,a894)),x125362),x125362))), % 199.99/201.08 inference(rename_variables,[],[3717])). % 199.99/201.08 cnf(12541,plain, % 199.99/201.08 (E(f317(f274(x125411,x125411),f253(x125411,x125412)),x125412)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(12544,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x125441,a894)),f317(f162(x125441),f166(x125441,x125442,x125443))),f317(f162(x125441),x125442)))), % 199.99/201.08 inference(rename_variables,[],[4112])). % 199.99/201.08 cnf(12545,plain, % 199.99/201.08 (P1(f317(f28(x125451),f317(f162(x125451),x125452)))), % 199.99/201.08 inference(rename_variables,[],[3468])). % 199.99/201.08 cnf(12548,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x125481),x125481))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12551,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x125511),x125511))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12554,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x125541),x125541))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12565,plain, % 199.99/201.08 (P24(x125651,x125651,f5(x125651),x125652)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12573,plain, % 199.99/201.08 (~P1(f317(f317(f319(x125731),x125732),f178(f905(x125731,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12576,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x125761,x125761)),f317(f317(f242(x125761,x125761),x125762),x125762)),f297(x125761,x125763)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(12579,plain, % 199.99/201.08 (~P1(f317(f317(f319(x125791),x125792),f178(f905(x125791,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12582,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x125821,x125821)),f317(f317(f242(x125821,x125821),x125822),x125822)),f297(x125821,x125823)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(12592,plain, % 199.99/201.08 (~E(f317(f317(f141(x125921),x125922),x125923),x125923)), % 199.99/201.08 inference(rename_variables,[],[4584])). % 199.99/201.08 cnf(12594,plain, % 199.99/201.08 (~P25(a898,a898,x125941,f232(f905(a898,a894)),f296(a898,x125942,x125943))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,11311,12367,12472,12475,3670,3677,3399,4590,4591,3298,3301,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,3366,3375,3878,4182,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,3359,4053,4584,10456,10625,11495,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,4055,11238,11368,11426,12576,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3614,4620,4189,11512,3743,3468,11993,11996,12441,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,3866,11157,11163,11181,12177,12307,3717,12417,3868,10894,11260,11423,11457,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780])). % 199.99/201.08 cnf(12599,plain, % 199.99/201.08 (P1(f317(f317(f319(x125991),x125992),f232(f905(x125991,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(12600,plain, % 199.99/201.08 (~E(f317(a102,x126001),x126001)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12603,plain, % 199.99/201.08 (P1(f317(f317(f319(f899(x126031)),f103(x126031)),f151(x126031,x126032)))), % 199.99/201.08 inference(rename_variables,[],[3621])). % 199.99/201.08 cnf(12604,plain, % 199.99/201.08 (~E(f317(f317(f141(x126041),x126042),x126043),f103(x126041))), % 199.99/201.08 inference(rename_variables,[],[4587])). % 199.99/201.08 cnf(12609,plain, % 199.99/201.08 (P24(x126091,x126091,f5(x126091),x126092)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12612,plain, % 199.99/201.08 (P1(f317(f317(f319(x126121),f317(x126122,x126123)),f317(f300(x126124,x126121,x126122),f232(f905(x126124,a894)))))), % 199.99/201.08 inference(rename_variables,[],[4020])). % 199.99/201.08 cnf(12613,plain, % 199.99/201.08 (P24(x126131,x126131,f5(x126131),x126132)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12616,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126161,a894)),f178(f905(x126161,a894))),x126162))), % 199.99/201.08 inference(rename_variables,[],[3868])). % 199.99/201.08 cnf(12617,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126171,a894)),x126172),x126172))), % 199.99/201.08 inference(rename_variables,[],[3717])). % 199.99/201.08 cnf(12620,plain, % 199.99/201.08 (P1(f317(f317(f319(x126201),f317(x126202,x126203)),f317(f300(x126204,x126201,x126202),f232(f905(x126204,a894)))))), % 199.99/201.08 inference(rename_variables,[],[4020])). % 199.99/201.08 cnf(12621,plain, % 199.99/201.08 (P24(x126211,x126211,f5(x126211),x126212)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12624,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(f899(x126241),f899(x126241))),f317(f317(f242(f899(x126241),f899(x126241)),f103(x126241)),f103(x126241))),f148(x126241,x126242)))), % 199.99/201.08 inference(rename_variables,[],[4196])). % 199.99/201.08 cnf(12628,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x126281),f2(a898)))), % 199.99/201.08 inference(rename_variables,[],[4608])). % 199.99/201.08 cnf(12634,plain, % 199.99/201.08 (E(f317(f317(f124(x126341),x126342),f103(x126341)),x126342)), % 199.99/201.08 inference(rename_variables,[],[3360])). % 199.99/201.08 cnf(12635,plain, % 199.99/201.08 (~E(f317(f317(f141(x126351),x126352),x126353),x126353)), % 199.99/201.08 inference(rename_variables,[],[4584])). % 199.99/201.08 cnf(12638,plain, % 199.99/201.08 (E(f317(f317(f124(x126381),x126382),f103(x126381)),x126382)), % 199.99/201.08 inference(rename_variables,[],[3360])). % 199.99/201.08 cnf(12639,plain, % 199.99/201.08 (~E(f317(f317(f141(x126391),x126392),x126393),x126393)), % 199.99/201.08 inference(rename_variables,[],[4584])). % 199.99/201.08 cnf(12642,plain, % 199.99/201.08 (E(f317(f317(f124(x126421),x126422),f103(x126421)),x126422)), % 199.99/201.08 inference(rename_variables,[],[3360])). % 199.99/201.08 cnf(12649,plain, % 199.99/201.08 (P51(x126491,f253(x126491,x126492))), % 199.99/201.08 inference(rename_variables,[],[3302])). % 199.99/201.08 cnf(12652,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126521,a894)),f317(f162(x126521),f317(f126(x126521,x126522),x126523))),f317(f162(x126521),x126523)))), % 199.99/201.08 inference(rename_variables,[],[4065])). % 199.99/201.08 cnf(12653,plain, % 199.99/201.08 (E(f317(f300(x126531,x126531,f5(x126531)),x126532),x126532)), % 199.99/201.08 inference(rename_variables,[],[3483])). % 199.99/201.08 cnf(12658,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126581,a894)),x126582),f232(f905(x126581,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(12662,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x126621),x126621))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12663,plain, % 199.99/201.08 (~E(f317(a102,x126631),x126631)), % 199.99/201.08 inference(rename_variables,[],[4571])). % 199.99/201.08 cnf(12666,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126661,a894)),f178(f905(x126661,a894))),x126662))), % 199.99/201.08 inference(rename_variables,[],[3868])). % 199.99/201.08 cnf(12669,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x126691),x126691))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12672,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126721,a894)),x126722),x126722))), % 199.99/201.08 inference(rename_variables,[],[3717])). % 199.99/201.08 cnf(12677,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126771,a894)),x126772),f317(f317(f299(x126771),x126773),x126772)))), % 199.99/201.08 inference(rename_variables,[],[3866])). % 199.99/201.08 cnf(12680,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x126801,a894)),x126802),x126802))), % 199.99/201.08 inference(rename_variables,[],[3717])). % 199.99/201.08 cnf(12681,plain, % 199.99/201.08 (~P1(f317(f317(f319(x126811),x126812),f178(f905(x126811,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12684,plain, % 199.99/201.08 (~P1(f317(f317(f319(x126841),x126842),f178(f905(x126841,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12692,plain, % 199.99/201.08 (~P1(f317(f317(f225(f905(f904(x126921,x126921),a894)),f317(f300(f904(x126921,x126921),f904(x126921,x126921),f5(f904(x126921,x126921))),f232(f905(f904(x126921,x126921),a894)))),f317(f300(f904(x126921,x126921),f904(x126921,x126921),f5(f904(x126921,x126921))),f178(f905(f904(x126921,x126921),a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,3661,11311,12367,12472,12475,12565,12609,12613,12621,3670,3677,3399,4590,4591,3298,3301,3302,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,3482,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,3360,12634,12638,3366,3375,3878,4182,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,4587,12604,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,12624,4055,11238,11368,11426,12576,12582,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,3614,4620,4189,11512,3743,3468,11993,11996,12441,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,3487,10855,10888,10897,10900,10903,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325])). % 199.99/201.08 cnf(12693,plain, % 199.99/201.08 (P24(x126931,x126931,f5(x126931),x126932)), % 199.99/201.08 inference(rename_variables,[],[3661])). % 199.99/201.08 cnf(12696,plain, % 199.99/201.08 (E(f317(f179(f899(x126961)),f159(x126961,x126962,x126963)),x126962)), % 199.99/201.08 inference(rename_variables,[],[3493])). % 199.99/201.08 cnf(12699,plain, % 199.99/201.08 (P25(x126991,x126991,f25(x126991),x126992,x126992)), % 199.99/201.08 inference(rename_variables,[],[4080])). % 199.99/201.08 cnf(12702,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x127021),x127021))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12703,plain, % 199.99/201.08 (P1(f317(f232(f905(x127031,a894)),x127032))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(12706,plain, % 199.99/201.08 (~P1(f317(f317(f319(x127061),x127062),f178(f905(x127061,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12709,plain, % 199.99/201.08 (P1(f317(f317(f319(x127091),f317(x127092,x127093)),f317(f300(x127094,x127091,x127092),f232(f905(x127094,a894)))))), % 199.99/201.08 inference(rename_variables,[],[4020])). % 199.99/201.08 cnf(12710,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x127101,x127101)),f317(f317(f242(x127101,x127101),x127102),x127102)),f297(x127101,x127103)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(12713,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x127131,x127131)),f317(f317(f242(x127131,x127131),x127132),x127132)),f297(x127131,x127133)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(12716,plain, % 199.99/201.08 (P1(f317(f317(f225(a898),x127161),x127161))), % 199.99/201.08 inference(rename_variables,[],[3429])). % 199.99/201.08 cnf(12717,plain, % 199.99/201.08 (P1(f317(f232(f905(x127171,a894)),x127172))), % 199.99/201.08 inference(rename_variables,[],[3487])). % 199.99/201.08 cnf(12720,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x127201,a894)),x127202),f232(f905(x127201,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(12721,plain, % 199.99/201.08 (P25(x127211,x127211,f25(x127211),x127212,x127212)), % 199.99/201.08 inference(rename_variables,[],[4080])). % 199.99/201.08 cnf(12724,plain, % 199.99/201.08 (P1(f317(f28(x127241),f317(f162(x127241),x127242)))), % 199.99/201.08 inference(rename_variables,[],[3468])). % 199.99/201.08 cnf(12729,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(f899(x127291),f899(x127291))),f317(f317(f242(f899(x127291),f899(x127291)),f103(x127291)),f103(x127291))),f317(f317(f279(f899(x127291),f899(x127291),f899(x127291)),f148(x127291,x127292)),f148(x127291,x127292))))), % 199.99/201.08 inference(scs_inference,[],[3409,4080,12699,3661,11311,12367,12472,12475,12565,12609,12613,12621,3670,3677,3399,4590,4591,3298,3301,3302,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,3482,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,3360,12634,12638,12642,3366,3375,3878,4182,3493,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,4587,12604,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,12624,4055,11238,11368,11426,12576,12582,12710,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578])). % 199.99/201.08 cnf(12731,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x127311,x127311)),f317(f317(f242(x127311,x127311),x127312),x127312)),f317(f317(f279(x127311,x127311,x127311),f297(x127311,x127313)),f297(x127311,f297(x127311,x127313)))))), % 199.99/201.08 inference(scs_inference,[],[3409,4080,12699,3661,11311,12367,12472,12475,12565,12609,12613,12621,3670,3677,3399,4590,4591,3298,3301,3302,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,3482,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,3360,12634,12638,12642,3366,3375,3878,4182,3493,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,4587,12604,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,12624,4055,11238,11368,11426,12576,12582,12710,12713,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592])). % 199.99/201.08 cnf(12734,plain, % 199.99/201.08 (~P1(f317(f317(f178(f905(x127341,f905(x127342,a894))),x127343),x127344))), % 199.99/201.08 inference(rename_variables,[],[4630])). % 199.99/201.08 cnf(12740,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x127401,a894)),x127402),f232(f905(x127401,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(12743,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(x127431,x127431)),f317(f317(f242(x127431,x127431),x127432),x127432)),f297(x127431,x127433)))), % 199.99/201.08 inference(rename_variables,[],[4055])). % 199.99/201.08 cnf(12746,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x127461),x127462)),x127462))), % 199.99/201.08 inference(rename_variables,[],[4627])). % 199.99/201.08 cnf(12747,plain, % 199.99/201.08 (P1(f317(f317(f226(a898),x127471),f317(a102,x127471)))), % 199.99/201.08 inference(rename_variables,[],[3494])). % 199.99/201.08 cnf(12750,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x127501,a894)),x127502),f232(f905(x127501,a894))))), % 199.99/201.08 inference(rename_variables,[],[3802])). % 199.99/201.08 cnf(12753,plain, % 199.99/201.08 (E(f317(f274(x127531,x127531),f253(x127531,x127532)),x127532)), % 199.99/201.08 inference(rename_variables,[],[3389])). % 199.99/201.08 cnf(12760,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(f904(f899(x127601),f899(x127601)),f904(f899(x127601),f899(x127601)))),f542(f297(f904(f899(x127601),f899(x127601)),x127602),f135(x127601,x127603),f904(f899(x127601),f899(x127601)))),f297(f904(f899(x127601),f899(x127601)),x127602)))), % 199.99/201.08 inference(scs_inference,[],[3409,4080,12699,3661,11311,12367,12472,12475,12565,12609,12613,12621,3670,3677,3399,4590,4591,3298,3301,3302,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,3482,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3758,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,3360,12634,12638,12642,3366,3375,3878,4182,3493,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,4587,12604,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,12624,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665])). % 199.99/201.08 cnf(12764,plain, % 199.99/201.08 (~P1(f317(f317(f319(x127641),x127642),f178(f905(x127641,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12765,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(f899(x127651),f899(x127651))),f317(f317(f242(f899(x127651),f899(x127651)),f103(x127651)),f103(x127651))),f148(x127651,x127652)))), % 199.99/201.08 inference(rename_variables,[],[4196])). % 199.99/201.08 cnf(12767,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(a898,a898)),f317(f317(f242(a898,a898),f2(a898)),f317(a102,f2(a898)))),f317(f317(f279(a898,a898,a898),f297(a898,a307)),f297(a898,f297(a898,a307)))))), % 199.99/201.08 inference(scs_inference,[],[3409,4080,12699,3661,11311,12367,12472,12475,12565,12609,12613,12621,3670,3677,3399,4590,4591,3298,3301,3302,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,3482,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3758,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,3360,12634,12638,12642,3366,3375,3878,4182,3493,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,4587,12604,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,12624,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696])). % 199.99/201.08 cnf(12770,plain, % 199.99/201.08 (~P1(f317(f317(f319(x127701),x127702),f178(f905(x127701,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12775,plain, % 199.99/201.08 (P30(x127751,x127752,f103(x127751))), % 199.99/201.08 inference(rename_variables,[],[3365])). % 199.99/201.08 cnf(12778,plain, % 199.99/201.08 (E(f317(f179(f899(x127781)),f159(x127781,x127782,x127783)),x127782)), % 199.99/201.08 inference(rename_variables,[],[3493])). % 199.99/201.08 cnf(12781,plain, % 199.99/201.08 (~P1(f317(f317(f319(x127811),x127812),f178(f905(x127811,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12784,plain, % 199.99/201.08 (~P1(f317(f317(f319(x127841),x127842),f178(f905(x127841,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12789,plain, % 199.99/201.08 (~P1(f317(f317(f319(x127891),x127892),f178(f905(x127891,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12791,plain, % 199.99/201.08 (~P1(f317(f317(f319(f904(f899(x127911),f899(x127911))),f317(f317(f242(f899(x127911),f899(x127911)),x127912),x127912)),f137(x127911,f143(x127911,f103(f905(x127911,a898))))))), % 199.99/201.08 inference(scs_inference,[],[3409,4080,12699,3661,11311,12367,12472,12475,12565,12609,12613,12621,3670,3677,3399,3365,4590,4591,3298,3301,3302,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,3482,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3758,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,3360,12634,12638,12642,3366,3375,3878,4182,3493,12696,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,4587,12604,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051])). % 199.99/201.08 cnf(12793,plain, % 199.99/201.08 (~P1(f317(f317(f226(a898),x127931),x127931))), % 199.99/201.08 inference(rename_variables,[],[4604])). % 199.99/201.08 cnf(12795,plain, % 199.99/201.08 (P1(f317(f317(f319(f904(f899(x127951),f899(x127951))),f317(f317(f242(f899(x127951),f899(x127951)),f159(x127951,f317(f179(f899(x127951)),x127952),x127953)),x127952)),f148(x127951,f232(f905(f904(x127951,x127951),a894)))))), % 199.99/201.08 inference(scs_inference,[],[3409,4080,12699,3661,11311,12367,12472,12475,12565,12609,12613,12621,3670,3677,3399,3365,4590,4591,3298,3301,3302,4589,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,3482,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,3225,4569,3758,3984,11888,3274,11596,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,3360,12634,12638,12642,3366,3375,3878,4182,3493,12696,12778,3264,3623,3969,11642,3328,3260,3288,3738,3283,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,4587,12604,3420,11970,4613,11218,11316,11551,11554,3530,4593,3323,10526,10858,3324,3582,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,4582,11625,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118])). % 199.99/201.08 cnf(12796,plain, % 199.99/201.08 (P1(f317(f317(f319(x127961),x127962),f232(f905(x127961,a894))))), % 199.99/201.08 inference(rename_variables,[],[3577])). % 199.99/201.08 cnf(12800,plain, % 199.99/201.08 (P1(f317(f317(f225(f905(x128001,a894)),x128002),x128002))), % 199.99/201.08 inference(rename_variables,[],[3717])). % 199.99/201.08 cnf(12803,plain, % 199.99/201.08 (~P1(f317(f317(f319(x128031),x128032),f178(f905(x128031,a894))))), % 199.99/201.08 inference(rename_variables,[],[4615])). % 199.99/201.08 cnf(12806,plain, % 199.99/201.08 (P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x128061)),x128062)))), % 199.99/201.08 inference(rename_variables,[],[3899])). % 199.99/201.08 cnf(12809,plain, % 199.99/201.09 (~E(f317(a102,x128091),x128091)), % 199.99/201.09 inference(rename_variables,[],[4571])). % 199.99/201.09 cnf(12811,plain, % 199.99/201.09 (E(f317(f274(x128111,x128111),f253(x128111,x128112)),x128112)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12813,plain, % 199.99/201.09 (E(f317(f274(x128131,x128131),f253(x128131,x128132)),x128132)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12817,plain, % 199.99/201.09 (E(f317(f274(x128171,x128171),f253(x128171,x128172)),x128172)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12819,plain, % 199.99/201.09 (E(f317(f274(x128191,x128191),f253(x128191,x128192)),x128192)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12821,plain, % 199.99/201.09 (P24(x128211,x128211,f5(x128211),x128212)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(12823,plain, % 199.99/201.09 (P24(x128231,x128231,f5(x128231),x128232)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(12830,plain, % 199.99/201.09 (E(f317(f274(x128301,x128301),f253(x128301,x128302)),x128302)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12833,plain, % 199.99/201.09 (P37(x128331,f253(x128331,x128332))), % 199.99/201.09 inference(rename_variables,[],[3299])). % 199.99/201.09 cnf(12839,plain, % 199.99/201.09 (E(f178(f905(f904(x128391,x128391),a894)),f253(x128391,f178(f905(x128391,a894))))), % 199.99/201.09 inference(rename_variables,[],[3497])). % 199.99/201.09 cnf(12848,plain, % 199.99/201.09 (P36(x128481,f143(x128481,x128482))), % 199.99/201.09 inference(rename_variables,[],[3298])). % 199.99/201.09 cnf(12856,plain, % 199.99/201.09 (E(f317(f274(x128561,x128561),f253(x128561,x128562)),x128562)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12858,plain, % 199.99/201.09 (P14(x128581,f905(x128581,a894),f299(x128581))), % 199.99/201.09 inference(rename_variables,[],[3402])). % 199.99/201.09 cnf(12862,plain, % 199.99/201.09 (E(f317(f274(x128621,x128621),f253(x128621,x128622)),x128622)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12867,plain, % 199.99/201.09 (E(f317(f274(x128671,x128671),f253(x128671,x128672)),x128672)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12869,plain, % 199.99/201.09 (P54(x128691,x128691,f253(x128691,x128692))), % 199.99/201.09 inference(rename_variables,[],[3399])). % 199.99/201.09 cnf(12875,plain, % 199.99/201.09 (P25(x128751,x128751,f25(x128751),x128752,x128752)), % 199.99/201.09 inference(rename_variables,[],[4080])). % 199.99/201.09 cnf(12877,plain, % 199.99/201.09 (P25(x128771,x128771,f25(x128771),x128772,x128772)), % 199.99/201.09 inference(rename_variables,[],[4080])). % 199.99/201.09 cnf(12879,plain, % 199.99/201.09 (P25(x128791,x128791,f25(x128791),x128792,x128792)), % 199.99/201.09 inference(rename_variables,[],[4080])). % 199.99/201.09 cnf(12888,plain, % 199.99/201.09 (P52(x128881,x128882,f253(x128881,x128882))), % 199.99/201.09 inference(rename_variables,[],[3398])). % 199.99/201.09 cnf(12890,plain, % 199.99/201.09 (P52(x128901,x128902,f253(x128901,x128902))), % 199.99/201.09 inference(rename_variables,[],[3398])). % 199.99/201.09 cnf(12892,plain, % 199.99/201.09 (P52(x128921,x128922,f253(x128921,x128922))), % 199.99/201.09 inference(rename_variables,[],[3398])). % 199.99/201.09 cnf(12894,plain, % 199.99/201.09 (P51(x128941,f253(x128941,x128942))), % 199.99/201.09 inference(rename_variables,[],[3302])). % 199.99/201.09 cnf(12909,plain, % 199.99/201.09 (P55(x129091,f178(f905(x129091,a894)),x129092)), % 199.99/201.09 inference(rename_variables,[],[3448])). % 199.99/201.09 cnf(12919,plain, % 199.99/201.09 (P41(x129191,x129192,x129193,x129194,f178(f905(x129191,a894)),x129194)), % 199.99/201.09 inference(rename_variables,[],[4353])). % 199.99/201.09 cnf(12926,plain, % 199.99/201.09 (E(f317(f274(x129261,x129261),f253(x129261,x129262)),x129262)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12930,plain, % 199.99/201.09 (P31(x129301,x129302,f103(x129301),f103(x129301))), % 199.99/201.09 inference(rename_variables,[],[3670])). % 199.99/201.09 cnf(12932,plain, % 199.99/201.09 (P31(x129321,x129322,f103(x129321),f103(x129321))), % 199.99/201.09 inference(rename_variables,[],[3670])). % 199.99/201.09 cnf(12940,plain, % 199.99/201.09 (E(f178(f905(f904(x129401,x129401),a894)),f253(x129401,f178(f905(x129401,a894))))), % 199.99/201.09 inference(rename_variables,[],[3497])). % 199.99/201.09 cnf(12944,plain, % 199.99/201.09 (E(f317(f274(x129441,x129441),f253(x129441,x129442)),x129442)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(12955,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x129551),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(12957,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),a77),f2(a1)))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,3360,12634,12638,12642,3366,3375,3878,4182,3493,12696,12778,3264,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,4010,4613,11218,11316,11551,11554,3819,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,4619,11746,11777,11814,11821,11854,3858,3630,4002,3456,3458,3432,4605,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,4237,3971,4609,3911,3945,4596,4599,3405,3410,4598,4597,4360,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,12680,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,4629,11871,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540])). % 199.99/201.09 cnf(12964,plain, % 199.99/201.09 (~P1(f317(f317(f226(a1),f317(f90(a1),x129641)),f317(f73(a1),f317(f90(a1),x129642))))), % 199.99/201.09 inference(rename_variables,[],[4625])). % 199.99/201.09 cnf(12974,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x129741),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(12977,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x129771),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(12980,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x129801,x129802)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(12983,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x129831,x129832)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(12986,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x129861,x129862)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(12989,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x129891,x129892)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(12996,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),x129961))),f317(f90(a1),x129962)))), % 199.99/201.09 inference(rename_variables,[],[3900])). % 199.99/201.09 cnf(12998,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f2(a1))))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3161,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,3360,12634,12638,12642,3366,3375,3878,4182,3493,12696,12778,3264,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,4010,4613,11218,11316,11551,11554,3819,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,4619,11746,11777,11814,11821,11854,3858,3630,3631,12980,12983,12986,4002,3456,3458,3432,4605,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,11999,4237,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,12680,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,3845,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103])). % 199.99/201.09 cnf(13001,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x130011),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(13002,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x130021),x130021))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13009,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x130091),f317(a102,x130091)))), % 199.99/201.09 inference(rename_variables,[],[3494])). % 199.99/201.09 cnf(13011,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),f2(a1)),a77))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3161,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,3360,12634,12638,12642,3366,3375,3878,4182,3493,12696,12778,3264,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,4010,4613,11218,11316,11551,11554,3819,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,4619,11746,11777,11814,11821,11854,3858,3630,3631,12980,12983,12986,4002,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,11999,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,12680,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,3845,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209])). % 199.99/201.09 cnf(13014,plain, % 199.99/201.09 (~E(f317(a102,x130141),f2(a898))), % 199.99/201.09 inference(rename_variables,[],[4577])). % 199.99/201.09 cnf(13016,plain, % 199.99/201.09 (~P1(f317(f317(f226(a1),f2(a1)),f317(f94(a1),f2(a1))))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3083,3084,3087,3094,3097,3104,3105,3106,3109,3127,3151,3157,3161,3165,3166,3168,3176,3183,3188,3191,3192,3194,3196,3197,3210,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,3360,12634,12638,12642,3366,3375,3878,4182,3493,12696,12778,3264,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,4010,4613,11218,11316,11551,11554,3819,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3980,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,4619,11746,11777,11814,11821,11854,3858,3630,3631,12980,12983,12986,4002,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,3431,12411,3502,12356,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,3487,10855,10888,10897,10900,10903,11481,12703,3526,3519,3937,3876,10505,11877,11905,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,3900,11999,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,12680,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,3844,3845,4627,10478,10481,10849,10852,11743,11931,4628,11851,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364])). % 199.99/201.09 cnf(13019,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),x130191),x130191))), % 199.99/201.09 inference(rename_variables,[],[3430])). % 199.99/201.09 cnf(13022,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x130221,x130222)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(13025,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x130251,x130252)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(13028,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x130281),x130281))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13045,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),f40(a898,x130451,x130452)),x130451))), % 199.99/201.09 inference(rename_variables,[],[3876])). % 199.99/201.09 cnf(13050,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x130501),f317(a102,x130501)))), % 199.99/201.09 inference(rename_variables,[],[3494])). % 199.99/201.09 cnf(13053,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x130531),f317(a102,x130531)))), % 199.99/201.09 inference(rename_variables,[],[3494])). % 199.99/201.09 cnf(13054,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x130541),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(13063,plain, % 199.99/201.09 (~P1(f317(f317(f226(a1),f317(f90(a1),x130631)),f2(a1)))), % 199.99/201.09 inference(rename_variables,[],[4619])). % 199.99/201.09 cnf(13064,plain, % 199.99/201.09 (P1(f317(f232(f905(x130641,a894)),x130642))), % 199.99/201.09 inference(rename_variables,[],[3487])). % 199.99/201.09 cnf(13067,plain, % 199.99/201.09 (~P1(f317(f317(f226(a1),f317(f90(a1),x130671)),f2(a1)))), % 199.99/201.09 inference(rename_variables,[],[4619])). % 199.99/201.09 cnf(13068,plain, % 199.99/201.09 (P1(f317(f232(f905(x130681,a894)),x130682))), % 199.99/201.09 inference(rename_variables,[],[3487])). % 199.99/201.09 cnf(13071,plain, % 199.99/201.09 (P1(f317(f232(f905(x130711,a894)),x130712))), % 199.99/201.09 inference(rename_variables,[],[3487])). % 199.99/201.09 cnf(13074,plain, % 199.99/201.09 (P1(f317(f232(f905(x130741,a894)),x130742))), % 199.99/201.09 inference(rename_variables,[],[3487])). % 199.99/201.09 cnf(13082,plain, % 199.99/201.09 (~P1(f317(f317(f319(x130821),x130822),f178(f905(x130821,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13083,plain, % 199.99/201.09 (P1(f317(f28(x130831),f178(f905(x130831,a894))))), % 199.99/201.09 inference(rename_variables,[],[3502])). % 199.99/201.09 cnf(13086,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x130861),x130861))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13095,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),f2(a898)),x130951))), % 199.99/201.09 inference(rename_variables,[],[3450])). % 199.99/201.09 cnf(13098,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x130981),f317(a102,x130981)))), % 199.99/201.09 inference(rename_variables,[],[3494])). % 199.99/201.09 cnf(13099,plain, % 199.99/201.09 (~E(f317(a102,x130991),x130991)), % 199.99/201.09 inference(rename_variables,[],[4571])). % 199.99/201.09 cnf(13102,plain, % 199.99/201.09 (~P1(f317(f317(f319(x131021),x131022),f178(f905(x131021,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13105,plain, % 199.99/201.09 (~P1(f317(f317(f319(x131051),x131052),f178(f905(x131051,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13110,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x131101),x131101))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13118,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x131181),f317(a102,x131181)))), % 199.99/201.09 inference(rename_variables,[],[3494])). % 199.99/201.09 cnf(13121,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x131211),x131211))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13126,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x131261),x131261))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13129,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x131291),x131291))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13132,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x131321),x131321))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13135,plain, % 199.99/201.09 (E(f317(f317(f23(f905(x131351,a894)),f178(f905(x131351,a894))),x131352),f178(f905(x131351,a894)))), % 199.99/201.09 inference(rename_variables,[],[3688])). % 199.99/201.09 cnf(13136,plain, % 199.99/201.09 (P1(f317(f28(x131361),f178(f905(x131361,a894))))), % 199.99/201.09 inference(rename_variables,[],[3502])). % 199.99/201.09 cnf(13139,plain, % 199.99/201.09 (E(f317(f317(f23(f905(x131391,a894)),f178(f905(x131391,a894))),x131392),f178(f905(x131391,a894)))), % 199.99/201.09 inference(rename_variables,[],[3688])). % 199.99/201.09 cnf(13140,plain, % 199.99/201.09 (P1(f317(f28(x131401),f178(f905(x131401,a894))))), % 199.99/201.09 inference(rename_variables,[],[3502])). % 199.99/201.09 cnf(13143,plain, % 199.99/201.09 (E(f317(f317(f23(f905(x131431,a894)),f178(f905(x131431,a894))),x131432),f178(f905(x131431,a894)))), % 199.99/201.09 inference(rename_variables,[],[3688])). % 199.99/201.09 cnf(13144,plain, % 199.99/201.09 (P1(f317(f28(x131441),f178(f905(x131441,a894))))), % 199.99/201.09 inference(rename_variables,[],[3502])). % 199.99/201.09 cnf(13147,plain, % 199.99/201.09 (E(f317(f317(f23(f905(x131471,a894)),f178(f905(x131471,a894))),x131472),f178(f905(x131471,a894)))), % 199.99/201.09 inference(rename_variables,[],[3688])). % 199.99/201.09 cnf(13148,plain, % 199.99/201.09 (P1(f317(f28(x131481),f178(f905(x131481,a894))))), % 199.99/201.09 inference(rename_variables,[],[3502])). % 199.99/201.09 cnf(13152,plain, % 199.99/201.09 (E(f317(f274(x131521,x131521),f253(x131521,x131522)),x131522)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(13157,plain, % 199.99/201.09 (E(f317(f317(f23(f905(x131571,a894)),f178(f905(x131571,a894))),x131572),f178(f905(x131571,a894)))), % 199.99/201.09 inference(rename_variables,[],[3688])). % 199.99/201.09 cnf(13158,plain, % 199.99/201.09 (P1(f317(f28(x131581),f178(f905(x131581,a894))))), % 199.99/201.09 inference(rename_variables,[],[3502])). % 199.99/201.09 cnf(13162,plain, % 199.99/201.09 (P1(f317(f28(x131621),f178(f905(x131621,a894))))), % 199.99/201.09 inference(rename_variables,[],[3502])). % 199.99/201.09 cnf(13165,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x131651),x131651))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13169,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),x131691),x131691))), % 199.99/201.09 inference(rename_variables,[],[3430])). % 199.99/201.09 cnf(13176,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x131761),x131761))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13189,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),x131891),x131891))), % 199.99/201.09 inference(rename_variables,[],[3430])). % 199.99/201.09 cnf(13202,plain, % 199.99/201.09 (~P1(f317(f317(f319(x132021),x132022),f178(f905(x132021,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13215,plain, % 199.99/201.09 (P1(f317(f317(f319(x132151),x132152),f232(f905(x132151,a894))))), % 199.99/201.09 inference(rename_variables,[],[3577])). % 199.99/201.09 cnf(13216,plain, % 199.99/201.09 (E(f317(f182(x132161,x132162),x132163),f111(x132161,x132162))), % 199.99/201.09 inference(rename_variables,[],[3343])). % 199.99/201.09 cnf(13219,plain, % 199.99/201.09 (P1(f317(f317(f319(x132191),f317(x132192,x132193)),f317(f300(x132194,x132191,x132192),f232(f905(x132194,a894)))))), % 199.99/201.09 inference(rename_variables,[],[4020])). % 199.99/201.09 cnf(13223,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x132231,a894)),x132232),f232(f905(x132231,a894))))), % 199.99/201.09 inference(rename_variables,[],[3802])). % 199.99/201.09 cnf(13226,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x132261,a894)),x132262),x132262))), % 199.99/201.09 inference(rename_variables,[],[3717])). % 199.99/201.09 cnf(13232,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x132321),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(13233,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),x132331),x132331))), % 199.99/201.09 inference(rename_variables,[],[3430])). % 199.99/201.09 cnf(13237,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x132371),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(13238,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),x132381),x132381))), % 199.99/201.09 inference(rename_variables,[],[3430])). % 199.99/201.09 cnf(13243,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x132431),x132431))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13250,plain, % 199.99/201.09 (E(f317(f317(f16(x132501,x132502),x132503),x132504),x132503)), % 199.99/201.09 inference(rename_variables,[],[3420])). % 199.99/201.09 cnf(13255,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x132551,a894)),f317(f162(x132551),f166(x132551,x132552,x132553))),f317(f162(x132551),x132552)))), % 199.99/201.09 inference(rename_variables,[],[4112])). % 199.99/201.09 cnf(13262,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x132621),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(13263,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),x132631),x132631))), % 199.99/201.09 inference(rename_variables,[],[3430])). % 199.99/201.09 cnf(13267,plain, % 199.99/201.09 (~P1(f317(f317(f226(a898),x132671),f2(a898)))), % 199.99/201.09 inference(rename_variables,[],[4608])). % 199.99/201.09 cnf(13268,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),x132681),x132681))), % 199.99/201.09 inference(rename_variables,[],[3430])). % 199.99/201.09 cnf(13272,plain, % 199.99/201.09 (~P1(f317(f317(f225(f905(a898,a894)),f293(a898,f317(a102,x132721),f317(a102,x132721))),f293(a898,x132722,x132721)))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3083,3084,3087,3094,3097,3101,3104,3105,3106,3109,3111,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3264,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,4010,4613,11218,11316,11551,11554,3819,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,4002,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,12487,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,12680,12800,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623])). % 199.99/201.09 cnf(13273,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x132731),x132731))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13275,plain, % 199.99/201.09 (~P1(f317(f317(f226(f905(a898,a894)),f293(a898,f317(a102,x132751),f317(a102,x132751))),f293(a898,x132752,x132751)))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3083,3084,3087,3094,3097,3101,3104,3105,3106,3109,3111,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3264,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,4010,4613,11218,11316,11551,11554,3819,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,4002,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,3450,10891,11044,11114,11906,12057,12255,12460,12487,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,12680,12800,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624])). % 199.99/201.09 cnf(13276,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),x132761),x132761))), % 199.99/201.09 inference(rename_variables,[],[3429])). % 199.99/201.09 cnf(13279,plain, % 199.99/201.09 (~P1(f317(f317(f225(a898),f317(a102,x132791)),x132791))), % 199.99/201.09 inference(rename_variables,[],[4612])). % 199.99/201.09 cnf(13284,plain, % 199.99/201.09 (E(x132841,f460(f317(f5(x132842),f317(f5(x132842),x132841)),f5(x132842),x132842,x132842))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3083,3084,3087,3094,3097,3101,3104,3105,3106,3109,3111,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,4010,4613,11218,11316,11551,11554,3819,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,4002,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,4624,10990,11392,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,3733,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,3866,11157,11163,11181,12177,12307,12385,3717,12417,12536,12617,12672,12680,12800,4194,3868,10894,11260,11423,11457,11468,12616,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776])). % 199.99/201.09 cnf(13285,plain, % 199.99/201.09 (P1(f317(f317(f319(x132851),f317(x132852,x132853)),f317(f300(x132854,x132851,x132852),f232(f905(x132854,a894)))))), % 199.99/201.09 inference(rename_variables,[],[4020])). % 199.99/201.09 cnf(13286,plain, % 199.99/201.09 (P24(x132861,x132861,f5(x132861),x132862)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13291,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x132911,a894)),x132912),f232(f905(x132911,a894))))), % 199.99/201.09 inference(rename_variables,[],[3802])). % 199.99/201.09 cnf(13292,plain, % 199.99/201.09 (P24(x132921,x132921,f5(x132921),x132922)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13296,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x132961,a894)),x132962),f232(f905(x132961,a894))))), % 199.99/201.09 inference(rename_variables,[],[3802])). % 199.99/201.09 cnf(13297,plain, % 199.99/201.09 (P24(x132971,x132971,f5(x132971),x132972)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13301,plain, % 199.99/201.09 (P24(x133011,x133011,f5(x133011),x133012)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13304,plain, % 199.99/201.09 (~P1(f317(f317(f226(f905(x133041,a894)),x133042),f178(f905(x133041,a894))))), % 199.99/201.09 inference(rename_variables,[],[4624])). % 199.99/201.09 cnf(13307,plain, % 199.99/201.09 (P24(x133071,x133071,f5(x133071),x133072)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13310,plain, % 199.99/201.09 (P24(x133101,x133101,f5(x133101),x133102)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13313,plain, % 199.99/201.09 (P1(f317(f317(f319(x133131),f317(x133132,x133133)),f317(f300(x133134,x133131,x133132),f232(f905(x133134,a894)))))), % 199.99/201.09 inference(rename_variables,[],[4020])). % 199.99/201.09 cnf(13319,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x133191,a894)),x133192),f232(f905(x133191,a894))))), % 199.99/201.09 inference(rename_variables,[],[3802])). % 199.99/201.09 cnf(13324,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x133241,a894)),f178(f905(x133241,a894))),x133242))), % 199.99/201.09 inference(rename_variables,[],[3868])). % 199.99/201.09 cnf(13328,plain, % 199.99/201.09 (E(f317(f274(x133281,x133281),f253(x133281,x133282)),x133282)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(13332,plain, % 199.99/201.09 (~P1(f317(f317(f319(x133321),x133322),f178(f905(x133321,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13337,plain, % 199.99/201.09 (P24(x133371,x133371,f5(x133371),x133372)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13340,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x133401,a894)),x133402),f232(f905(x133401,a894))))), % 199.99/201.09 inference(rename_variables,[],[3802])). % 199.99/201.09 cnf(13344,plain, % 199.99/201.09 (P1(f317(f317(f319(x133441),x133442),f232(f905(x133441,a894))))), % 199.99/201.09 inference(rename_variables,[],[3577])). % 199.99/201.09 cnf(13348,plain, % 199.99/201.09 (E(f317(f317(f16(x133481,x133482),x133483),x133484),x133483)), % 199.99/201.09 inference(rename_variables,[],[3420])). % 199.99/201.09 cnf(13351,plain, % 199.99/201.09 (~P1(f317(f317(f319(x133511),x133512),f178(f905(x133511,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13354,plain, % 199.99/201.09 (~P1(f317(f317(f319(x133541),x133542),f178(f905(x133541,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13357,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x133571,a894)),x133572),f232(f905(x133571,a894))))), % 199.99/201.09 inference(rename_variables,[],[3802])). % 199.99/201.09 cnf(13358,plain, % 199.99/201.09 (P24(x133581,x133581,f5(x133581),x133582)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13363,plain, % 199.99/201.09 (~E(f317(a102,x133631),x133631)), % 199.99/201.09 inference(rename_variables,[],[4571])). % 199.99/201.09 cnf(13369,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x133691),f317(a102,x133691)))), % 199.99/201.09 inference(rename_variables,[],[3494])). % 199.99/201.09 cnf(13370,plain, % 199.99/201.09 (~E(f317(a102,x133701),x133701)), % 199.99/201.09 inference(rename_variables,[],[4571])). % 199.99/201.09 cnf(13373,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x133731),f317(a102,f317(f317(f74(a898),x133732),x133731))))), % 199.99/201.09 inference(rename_variables,[],[3869])). % 199.99/201.09 cnf(13374,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),x133741),f317(a102,x133741)))), % 199.99/201.09 inference(rename_variables,[],[3494])). % 199.99/201.09 cnf(13376,plain, % 199.99/201.09 (~E(f317(f317(f75(a898),f317(a102,f2(a898))),f109(x133761)),f317(f317(f75(a898),f317(a102,f2(a898))),f116(x133761,x133762,x133763)))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3083,3084,3087,3094,3097,3101,3104,3105,3106,3109,3111,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,4002,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,4112,11241,12364,12440,12502,12544,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,4194,3868,10894,11260,11423,11457,11468,12616,12666,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610])). % 199.99/201.09 cnf(13383,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x133831)))), % 199.99/201.09 inference(rename_variables,[],[3526])). % 199.99/201.09 cnf(13386,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),f2(a898)),x133861))), % 199.99/201.09 inference(rename_variables,[],[3450])). % 199.99/201.09 cnf(13390,plain, % 199.99/201.09 (~E(f317(a102,x133901),f2(a898))), % 199.99/201.09 inference(rename_variables,[],[4577])). % 199.99/201.09 cnf(13393,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x133931,a894)),f317(f162(x133931),f166(x133931,x133932,x133933))),f317(f162(x133931),x133932)))), % 199.99/201.09 inference(rename_variables,[],[4112])). % 199.99/201.09 cnf(13398,plain, % 199.99/201.09 (~P1(f317(f317(f319(x133981),x133982),f178(f905(x133981,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13401,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x134011,x134012)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(13402,plain, % 199.99/201.09 (E(f317(f317(f229(a898),f317(a102,x134021)),f317(a102,x134022)),f317(a102,f317(f317(f229(a898),x134021),x134022)))), % 199.99/201.09 inference(rename_variables,[],[3595])). % 199.99/201.09 cnf(13405,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x134051,x134052)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(13406,plain, % 199.99/201.09 (E(f317(f317(f224(a898),f317(a102,x134061)),f317(a102,x134062)),f317(a102,f317(f317(f224(a898),x134061),x134062)))), % 199.99/201.09 inference(rename_variables,[],[3596])). % 199.99/201.09 cnf(13409,plain, % 199.99/201.09 (P1(f317(f28(a898),f295(a898,x134091,x134092)))), % 199.99/201.09 inference(rename_variables,[],[3631])). % 199.99/201.09 cnf(13418,plain, % 199.99/201.09 (~P1(f317(f317(f319(x134181),x134182),f178(f905(x134181,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13419,plain, % 199.99/201.09 (E(f317(f317(f16(x134191,x134192),x134193),x134194),x134193)), % 199.99/201.09 inference(rename_variables,[],[3420])). % 199.99/201.09 cnf(13422,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x134221,a894)),f317(f162(x134221),f317(f126(x134221,x134222),x134223))),f317(f162(x134221),x134223)))), % 199.99/201.09 inference(rename_variables,[],[4065])). % 199.99/201.09 cnf(13423,plain, % 199.99/201.09 (E(f317(f317(f16(x134231,x134232),x134233),x134234),x134233)), % 199.99/201.09 inference(rename_variables,[],[3420])). % 199.99/201.09 cnf(13426,plain, % 199.99/201.09 (P1(f317(f317(f225(f905(x134261,a894)),f317(f162(x134261),f317(f317(f165(x134261),x134262),x134263))),f317(f162(x134261),x134263)))), % 199.99/201.09 inference(rename_variables,[],[4107])). % 199.99/201.09 cnf(13427,plain, % 199.99/201.09 (E(f317(f317(f16(x134271,x134272),x134273),x134274),x134273)), % 199.99/201.09 inference(rename_variables,[],[3420])). % 199.99/201.09 cnf(13431,plain, % 199.99/201.09 (E(f317(f317(f16(x134311,x134312),x134313),x134314),x134313)), % 199.99/201.09 inference(rename_variables,[],[3420])). % 199.99/201.09 cnf(13444,plain, % 199.99/201.09 (P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x134441)))), % 199.99/201.09 inference(rename_variables,[],[3526])). % 199.99/201.09 cnf(13449,plain, % 199.99/201.09 (P24(x134491,x134491,f5(x134491),x134492)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13452,plain, % 199.99/201.09 (~P1(f317(f317(f319(x134521),x134522),f178(f905(x134521,a894))))), % 199.99/201.09 inference(rename_variables,[],[4615])). % 199.99/201.09 cnf(13453,plain, % 199.99/201.09 (E(f317(f274(x134531,x134531),f253(x134531,x134532)),x134532)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(13454,plain, % 199.99/201.09 (P24(x134541,x134541,f5(x134541),x134542)), % 199.99/201.09 inference(rename_variables,[],[3661])). % 199.99/201.09 cnf(13458,plain, % 199.99/201.09 (E(f317(f274(x134581,x134581),f253(x134581,x134582)),x134582)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(13463,plain, % 199.99/201.09 (P1(f317(f317(f226(f905(a1,a894)),f293(a1,f72(a1),f2(a1))),f293(a1,f2(a1),f72(a1))))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3083,3084,3087,3094,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529])). % 199.99/201.09 cnf(13465,plain, % 199.99/201.09 (P1(f317(f317(f226(f905(a1,a894)),f293(a1,f2(a1),f2(a1))),f293(a1,f317(f73(a1),f317(f90(a1),f317(a102,x134651))),f2(a1))))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3083,3084,3087,3094,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,3871,11874,3413,3506,11703,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530])). % 199.99/201.09 cnf(13472,plain, % 199.99/201.09 (P1(f317(f317(f225(a898),f2(a898)),x134721))), % 199.99/201.09 inference(rename_variables,[],[3450])). % 199.99/201.09 cnf(13473,plain, % 199.99/201.09 (P1(f317(f317(f226(a898),f2(a898)),f317(a102,x134731)))), % 199.99/201.09 inference(rename_variables,[],[3506])). % 199.99/201.09 cnf(13474,plain, % 199.99/201.09 (E(f317(f274(x134741,x134741),f253(x134741,x134742)),x134742)), % 199.99/201.09 inference(rename_variables,[],[3389])). % 199.99/201.09 cnf(13477,plain, % 199.99/201.09 (P1(f317(f43(f317(f274(x134771,x134771),f253(x134771,f317(f317(f74(a898),f317(f317(f75(a898),f317(f241(a898,a898),f317(f317(f242(a898,a898),f2(a898)),x134772))),f317(a102,f317(f317(f74(a898),x134773),f317(f246(a898,a898),f317(f317(f242(a898,a898),f2(a898)),x134772)))))),f317(f246(a898,a898),f317(f317(f242(a898,a898),f2(a898)),x134772))))),f317(a102,f317(f317(f74(a898),x134773),f317(f246(a898,a898),f317(f317(f242(a898,a898),f2(a898)),x134772))))),f317(f317(f242(a898,a898),f2(a898)),x134772)))), % 199.99/201.09 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3083,3084,3087,3094,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018])). % 199.99/201.09 cnf(13501,plain, % 199.99/201.09 (E(f317(f317(f74(a898),f2(a898)),f377(f317(a102,f2(a898)),f2(a898))),f2(a898))), % 199.99/201.10 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3081,3083,3084,3087,3094,3095,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,13267,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,4113,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,13344,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,13444,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018,9965,9973,10186,10347,4681,4690,4722])). % 199.99/201.10 cnf(13563,plain, % 199.99/201.10 (~P1(f317(f317(f226(a1),f2(a1)),f2(a1)))), % 199.99/201.10 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3081,3083,3084,3087,3094,3095,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,13267,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,4113,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,13344,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,13444,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018,9965,9973,10186,10347,4681,4690,4722,4723,4726,4768,4772,4777,4818,4915,4932,4962,4963,4994,4998,5057,5060,5120,5252,5291,5292,5294,5301,5302,5326,5365,5397,5419,5554,5627,5628,5629,5690,5747])). % 199.99/201.10 cnf(13565,plain, % 199.99/201.10 (P1(f317(f317(f226(a1),f2(a1)),f317(f70(a1),f72(a1))))), % 199.99/201.10 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3081,3083,3084,3087,3094,3095,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,13267,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,4113,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,13344,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,13444,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018,9965,9973,10186,10347,4681,4690,4722,4723,4726,4768,4772,4777,4818,4915,4932,4962,4963,4994,4998,5057,5060,5120,5252,5291,5292,5294,5301,5302,5326,5365,5397,5419,5554,5627,5628,5629,5690,5747,5748])). % 199.99/201.10 cnf(13597,plain, % 199.99/201.10 (~P1(f317(f28(x135971),f232(f905(x135971,a894))))), % 199.99/201.10 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3081,3083,3084,3087,3094,3095,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,13267,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,4113,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,13344,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,13444,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018,9965,9973,10186,10347,4681,4690,4722,4723,4726,4768,4772,4777,4818,4915,4932,4962,4963,4994,4998,5057,5060,5120,5252,5291,5292,5294,5301,5302,5326,5365,5397,5419,5554,5627,5628,5629,5690,5747,5748,5774,5778,5837,5839,5848,5854,5942,6028,6135,6178,6236,6478,6641,6679,6854,6856])). % 199.99/201.10 cnf(13599,plain, % 199.99/201.10 (~P1(f317(f28(f904(x135991,x135992)),f317(f276(x135992,x135991),f232(f905(f904(x135992,x135991),a894)))))), % 199.99/201.10 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3081,3083,3084,3087,3094,3095,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,13267,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,4113,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,13344,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,13444,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018,9965,9973,10186,10347,4681,4690,4722,4723,4726,4768,4772,4777,4818,4915,4932,4962,4963,4994,4998,5057,5060,5120,5252,5291,5292,5294,5301,5302,5326,5365,5397,5419,5554,5627,5628,5629,5690,5747,5748,5774,5778,5837,5839,5848,5854,5942,6028,6135,6178,6236,6478,6641,6679,6854,6856,6945])). % 199.99/201.10 cnf(13601,plain, % 199.99/201.10 (~P1(f317(f317(f226(a898),f2(a898)),f178(a898)))), % 199.99/201.10 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3081,3083,3084,3087,3094,3095,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,13267,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,4113,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,13344,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,13444,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018,9965,9973,10186,10347,4681,4690,4722,4723,4726,4768,4772,4777,4818,4915,4932,4962,4963,4994,4998,5057,5060,5120,5252,5291,5292,5294,5301,5302,5326,5365,5397,5419,5554,5627,5628,5629,5690,5747,5748,5774,5778,5837,5839,5848,5854,5942,6028,6135,6178,6236,6478,6641,6679,6854,6856,6945,7116])). % 199.99/201.10 cnf(13623,plain, % 199.99/201.10 (~P24(x136231,x136232,f317(f67(x136233,x136232,x136231,f182(x136234,x136235)),f317(f141(x136236),x136237)),f232(f905(x136231,a894)))), % 199.99/201.10 inference(scs_inference,[],[3409,4080,12699,12721,12875,12877,12879,3661,11311,12367,12472,12475,12565,12609,12613,12621,12693,12821,12823,13286,13292,13297,13301,13307,13310,13337,13358,13449,13454,3670,12437,12930,12932,3677,3398,12888,12890,12892,3399,12869,3365,12775,4590,4591,11950,4353,12919,3402,12858,3241,3298,12848,3299,12833,3300,3301,3302,12649,12894,4589,3719,4571,10396,10406,10419,10430,10534,10539,10542,10644,10779,11089,11282,11285,11303,11306,11498,11599,11606,11620,11668,11671,11704,11719,11782,11841,11857,12156,12181,12195,12224,12230,12324,12433,12600,12663,12809,13099,13363,13370,3482,3448,12909,3629,12128,3349,4577,10628,10728,11192,11292,13014,13390,3040,3041,3045,3046,3049,3050,3051,3053,3054,3055,3057,3068,3071,3074,3081,3083,3084,3087,3094,3095,3097,3101,3102,3104,3105,3106,3109,3111,3114,3127,3134,3143,3146,3151,3157,3158,3161,3165,3166,3168,3169,3176,3180,3183,3187,3188,3191,3192,3194,3196,3197,3210,3220,4568,3225,3297,4569,3758,3984,11888,3274,11596,3411,3386,3389,10465,10468,10563,10566,10885,11611,11614,11730,11769,11774,11883,12339,12541,12753,12811,12813,12817,12819,12830,12856,12862,12867,12926,12944,13152,13328,13453,13458,13474,3360,12634,12638,12642,3366,3375,3878,4182,3343,13216,3493,12696,12778,3263,3264,4258,3623,3969,11642,3328,3260,3288,3738,3283,3481,4089,3978,3800,3271,3272,3251,3890,3308,3483,11039,11166,12434,12653,3359,4053,4584,10456,10625,11495,12592,12635,12639,4587,12604,3420,11970,11973,13250,13348,13419,13423,13427,13431,4010,4613,11218,11316,11551,11554,3394,3819,3415,3530,3744,3522,4593,3497,12839,12940,3323,10526,10858,3324,4602,3582,3316,3242,3345,11632,4196,12624,12765,4055,11238,11368,11426,12576,12582,12710,12713,12743,4632,11141,11381,11489,11515,11559,11565,12522,4633,11271,11384,11492,4634,11387,11437,4635,11444,4636,3344,3621,12478,12519,12603,3784,3570,4467,4468,3605,3642,4582,11625,3762,3721,3764,3933,3688,13135,13139,13143,13147,13157,3980,12469,3607,3861,3494,10547,10667,10745,10818,10821,10861,10964,11208,11818,12026,12072,12152,12217,12295,12330,12405,12408,12747,13009,13050,13053,13098,13118,13369,13374,3871,11874,3413,3506,11703,11985,13473,3683,4608,10433,10436,10462,10588,10763,10972,10987,11099,11537,11635,11817,12043,12048,12271,12274,12351,12525,12628,12955,12974,12977,13001,13054,13232,13237,13262,13267,4619,11746,11777,11814,11821,11854,13063,13067,3858,3630,3631,12980,12983,12986,12989,13022,13025,13401,13405,13409,4002,3595,13402,3596,13406,3456,3458,3432,4605,3322,3287,4579,3810,4118,3614,4620,4189,11512,3743,3468,11993,11996,12441,12545,12724,4611,10424,10427,10596,10691,10710,10717,10740,10748,10751,10768,10957,11195,11407,11697,11791,11939,12061,12064,4158,4117,12493,4065,10876,12145,12503,12652,13422,4107,13426,4112,11241,12364,12440,12502,12544,13255,13393,4113,3785,11825,12155,12302,12372,12424,4146,3802,10591,10688,11244,11321,11400,11463,12323,12386,12658,12720,12740,12750,13223,13291,13296,13319,13340,13357,4624,10990,11392,12506,13304,3429,10556,10654,10804,10868,10946,10993,10996,11027,11047,11083,11121,11160,11942,11988,12125,12180,12198,12201,12204,12207,12379,12393,12396,12399,12402,12486,12548,12669,12716,13002,13028,13086,13110,13121,13126,13129,13132,13165,13176,13243,13273,13276,3430,10583,10639,10873,10967,11086,11722,12023,12029,12040,12131,12142,12161,12166,12210,12233,12250,13019,13169,13189,13233,13238,13263,13268,3431,12411,12414,3502,12356,13083,13136,13140,13144,13148,13158,13162,4604,10473,10502,11011,11050,11059,11902,11923,12099,12102,12105,12108,12194,12213,12216,12229,12283,12286,12289,12292,12452,12455,12551,12554,12662,12702,12793,3577,10733,10824,11094,11138,11371,11374,11452,11534,11707,11953,12599,12796,13215,13344,4615,11020,11130,11151,11154,11221,11224,11235,11337,11345,11359,11395,11412,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11824,11967,12002,12277,12280,12314,12357,12382,12530,12573,12579,12681,12684,12706,12764,12770,12781,12784,12789,12803,13082,13102,13105,13202,13332,13351,13354,13398,13418,13452,3487,10855,10888,10897,10900,10903,11481,12703,12717,13064,13068,13071,13074,3526,13383,13444,3519,3937,3876,10505,11877,11905,13045,4612,10453,10843,10846,11340,11356,11840,11893,11927,11954,12058,12087,12090,12093,12096,12350,13279,3450,10891,11044,11114,11906,12057,12255,12460,12487,13095,13386,13472,3900,11999,12996,4237,3636,3971,4609,3911,3945,4596,4599,4600,3405,3410,4598,4597,4360,4404,3733,11870,4331,11729,4626,10754,10757,4631,11227,11230,11415,11525,11542,11588,4020,11585,11926,11930,12612,12620,12709,13219,13285,13313,3866,11157,11163,11181,12177,12307,12385,12677,3717,12417,12536,12617,12672,12680,12800,13226,4194,3868,10894,11260,11423,11457,11468,12616,12666,13324,3578,3686,10807,10810,10906,11070,3685,4629,11871,4625,12964,4630,10647,10760,12481,12490,12533,12734,4292,11030,12499,12514,4200,3899,12806,3844,3845,4627,10478,10481,10849,10852,11743,11931,12746,4628,11851,11936,3869,10813,11076,13373,3870,4132,4643,4669,4724,4728,4752,4767,4774,4776,4812,4817,4846,4852,4938,4964,4965,4980,5034,5035,5058,5059,5073,5077,5102,5108,5124,5128,5129,5130,5135,5136,5159,5184,5186,5187,5197,5202,5208,5244,5245,5253,5261,5265,5267,5281,5284,5290,5295,5296,5309,5315,5318,5319,5323,5351,5366,5375,5377,5378,5379,5382,5383,5384,5394,5396,5402,5403,5404,5410,5414,5415,5416,5424,5428,5429,5435,5448,5456,5469,5471,5479,5481,5482,5485,5489,5516,5530,5531,5546,5557,5579,5585,5609,5610,5613,5632,5640,5641,5646,5647,5657,5659,5672,5676,5685,5686,5688,5689,5705,5710,5719,5720,5731,5738,5752,5756,5759,5765,5766,5767,5770,5775,5811,5812,5815,5817,5819,5821,5822,5823,5825,5827,5829,5834,5841,5856,5870,5876,5877,5889,5900,5901,5908,5912,5914,5919,5927,5965,5980,5989,5992,6002,6006,6007,6008,6009,6010,6015,6020,6030,6036,6054,6058,6067,6096,6112,6138,6155,6156,6159,6173,6175,6177,6179,6194,6195,6198,6200,6203,6204,6221,6229,6230,6231,6233,6235,6272,6273,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6427,6432,6466,6467,6470,6471,6472,6474,6475,6476,6477,6484,6519,6520,6529,6550,6551,6576,6578,6590,6591,6597,6627,6629,6644,6685,6687,6688,6744,6767,6810,6825,6833,6842,6843,6844,6845,6865,6866,6873,6885,6888,6890,6892,6893,6894,6896,6910,6921,6922,6923,6936,6991,7004,7006,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7621,7624,7668,7669,7687,7757,7775,7799,7823,7835,7849,7860,7871,7872,7899,7901,7903,7913,7951,7962,7987,8014,8047,8078,8111,8150,8166,8168,8184,8185,8252,8263,8328,8353,8372,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9030,9032,9048,9060,9061,9062,9073,9138,9170,9171,9172,9187,9204,9212,9240,9241,9310,9345,9351,9361,9362,9363,9373,9403,9419,9423,9427,9449,9450,9477,9541,9546,9549,9586,9587,9588,9616,9617,9633,9654,9660,9672,9697,9718,9727,9728,9729,9730,9745,9747,9752,9782,9783,9789,9790,9834,9835,9846,9847,9871,9889,9891,9892,9900,9905,9912,9936,9970,9972,9976,10026,10060,10070,10072,10076,10077,10079,10088,10089,10109,10114,10208,10300,10301,10302,10303,10362,10380,2,8,9,4656,4657,4675,4717,4719,4720,4743,4745,4746,4756,4801,4803,4851,4981,4982,4999,5023,5080,5081,5087,5088,5090,5092,5101,5104,5105,5113,5126,5127,5133,5147,5154,5155,5173,5178,5179,5180,5181,5185,5193,5196,5203,5258,5263,5264,5269,5275,5306,5316,5321,5331,5348,5350,5357,5358,5360,5371,5390,5392,5393,5400,5407,5408,5420,5421,5422,5423,5425,5426,5431,5432,5433,5434,5465,5466,5467,5475,5476,5477,5478,5522,5527,5529,5564,5566,5567,5569,5570,5572,5573,5575,5584,5589,5591,5592,5593,5595,5597,5598,5599,5600,5601,5602,5611,5621,5624,5635,5651,5652,5655,5665,5668,5669,5670,5697,5707,5722,5723,5732,5733,5735,5737,5742,5777,5782,5784,5843,5878,5879,5893,5899,5902,5903,5904,5905,5924,5928,5929,5938,5960,5994,6013,6014,6018,6019,6021,6044,6048,6051,6052,6053,6069,6080,6081,6114,6115,6119,6140,6143,6146,6163,6167,6168,6196,6199,6208,6217,6219,6228,6232,6240,6241,6242,6243,6275,6276,6294,6348,6386,6388,6389,6412,6413,6420,6424,6425,6428,6442,6458,6479,6480,6485,6496,6499,6512,6532,6538,6540,6555,6556,6560,6562,6563,6564,6566,6568,6569,6570,6577,6583,6584,6586,6587,6593,6595,6637,6643,6658,6662,6663,6664,6698,6703,6705,6710,6711,6721,6725,6739,6762,6763,6765,6766,6777,6782,6802,6805,6826,6846,6859,6860,6861,6867,6881,6900,6902,6904,6906,6911,6917,6919,6933,6938,6939,6976,6977,6978,6995,6996,6998,6999,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7152,7154,7155,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7627,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7713,7714,7739,7765,7766,7798,7800,7801,7802,7808,7829,7846,7851,7857,7859,7867,7880,7881,7883,7904,7911,7932,7964,8000,8001,8002,8050,8056,8057,8080,8081,8098,8099,8100,8157,8158,8187,8217,8226,8240,8255,8284,8288,8294,8306,8324,8329,8352,8397,8426,8440,8460,8463,8489,8515,8573,8574,8577,8578,8647,8681,8682,8683,8684,8711,8743,8772,8780,8781,8822,8843,8857,8888,8904,8950,8953,8968,8975,9017,9056,9057,9075,9076,9090,9209,9214,9218,9238,9249,9272,9274,9277,9283,9285,9286,9297,9298,9317,9325,9336,9344,9389,9407,9462,9463,9469,9508,9533,9538,9578,9592,9596,9597,9601,9602,9615,9638,9653,9662,9663,9665,9667,9696,9816,9817,9866,9867,9906,9931,9941,10034,10051,10118,10274,10292,10297,3,2765,2766,2768,2772,2779,2786,2787,2788,2789,2793,2797,2803,2804,2805,2806,2807,2809,2810,2811,2812,2813,2814,2821,2822,2828,2829,2830,2833,2834,2836,2840,2841,2842,2843,2846,2849,2850,2851,2853,2854,2855,2856,2857,2860,2861,2863,2864,2869,2870,2871,2878,2879,2880,2881,2889,2893,2896,2897,2898,2899,2933,2934,2938,2940,2942,2945,2946,2947,2948,2959,2967,2969,2970,2984,2985,3004,3005,3007,3008,3019,5347,5389,5538,5539,5540,5622,5721,5751,5785,5801,5803,5809,5871,5872,5873,5874,5891,5926,6064,6103,6113,6137,6171,6209,6216,6364,6369,6410,6411,6433,6435,6437,6444,6445,6446,6447,6448,6449,6450,6451,6533,6607,6608,6697,6734,6735,6774,6775,6918,6932,6988,7009,7010,7016,7038,7063,7071,7073,7077,7121,7141,7142,7160,7161,7198,7243,7244,7341,7410,7411,7412,7413,7430,7463,7516,7517,7525,7530,7531,7542,7572,7573,7574,7575,7721,7723,7724,7725,7731,7732,7806,7938,7941,7947,7948,7956,7959,7997,7998,8076,8116,8170,8192,8193,8270,8365,8436,8437,8441,8444,8475,8511,8537,8538,8605,8623,8624,8625,8626,8776,9034,9035,9104,9118,9173,9174,9292,9294,9329,9356,9391,9432,9636,9759,9901,10087,10143,10145,10376,5961,6133,6517,6518,6610,6630,6631,7062,7281,8618,8697,8944,9128,9129,9200,9201,9386,9480,9481,9482,9483,9699,9964,9978,10348,10349,6592,8529,8530,9000,9018,9965,9973,10186,10347,4681,4690,4722,4723,4726,4768,4772,4777,4818,4915,4932,4962,4963,4994,4998,5057,5060,5120,5252,5291,5292,5294,5301,5302,5326,5365,5397,5419,5554,5627,5628,5629,5690,5747,5748,5774,5778,5837,5839,5848,5854,5942,6028,6135,6178,6236,6478,6641,6679,6854,6856,6945,7116,7210,7286,7518,7579,7918,7920,8049,8167,8173,8869,8998])). % 199.99/201.10 cnf(13730,plain, % 199.99/201.10 (P1(f317(f317(f225(f905(x137301,a894)),x137302),f317(f317(f91(f905(x137301,a894)),x137303),f232(f905(x137301,a894)))))), % 199.99/201.10 inference(rename_variables,[],[11399])). % 199.99/201.10 cnf(13737,plain, % 199.99/201.10 (~E(f317(f317(f141(x137371),x137372),x137373),x137373)), % 199.99/201.10 inference(rename_variables,[],[4584])). % 199.99/201.10 cnf(13742,plain, % 199.99/201.10 (P1(f317(f317(f226(a1),f317(f317(f23(a1),x137421),f72(a1))),x137421))), % 199.99/201.10 inference(rename_variables,[],[10966])). % 199.99/201.10 cnf(13757,plain, % 199.99/201.10 (~E(f317(f317(f229(a898),f317(a102,x137571)),x137571),f317(a102,x137571))), % 199.99/201.10 inference(rename_variables,[],[11760])). % 199.99/201.10 cnf(13767,plain, % 199.99/201.10 (~E(x137671,f317(a102,x137671))), % 199.99/201.10 inference(rename_variables,[],[10488])). % 199.99/201.10 cnf(13789,plain, % 199.99/201.10 (~P1(f317(f317(f319(f904(x137891,x137891)),x137892),f253(x137891,f178(f905(x137891,a894)))))), % 199.99/201.10 inference(rename_variables,[],[11150])). % 199.99/201.10 cnf(13794,plain, % 199.99/201.10 (~E(f317(f317(f141(x137941),x137942),x137943),x137943)), % 199.99/201.10 inference(rename_variables,[],[4584])). % 199.99/201.10 cnf(13805,plain, % 199.99/201.10 (P1(f317(f317(f225(a898),x138051),f317(f317(f74(a898),x138051),x138052)))), % 199.99/201.10 inference(rename_variables,[],[3685])). % 199.99/201.10 cnf(13814,plain, % 199.99/201.10 (P1(f317(f317(f225(a898),x138141),f317(f317(f75(a898),x138141),x138141)))), % 199.99/201.10 inference(rename_variables,[],[3686])). % 199.99/201.10 cnf(13817,plain, % 199.99/201.10 (~E(x138171,f317(a102,x138171))), % 199.99/201.10 inference(rename_variables,[],[10488])). % 199.99/201.10 cnf(13820,plain, % 199.99/201.10 (~P1(f317(f317(f319(a898),x138201),f317(f272(a898),f2(a898))))), % 199.99/201.10 inference(rename_variables,[],[12020])). % 199.99/201.10 cnf(13830,plain, % 199.99/201.10 (~P1(f317(f56(x138301,x138302,f178(f905(x138301,a894))),x138303))), % 199.99/201.10 inference(rename_variables,[],[4626])). % 199.99/201.10 cnf(13833,plain, % 199.99/201.10 (~P1(f317(f317(f319(x138331),x138332),f178(f905(x138331,a894))))), % 199.99/201.10 inference(rename_variables,[],[4615])). % 199.99/201.10 cnf(13840,plain, % 199.99/201.10 (~P1(f317(f317(f319(f904(x138401,x138401)),x138402),f253(x138401,f178(f905(x138401,a894)))))), % 199.99/201.10 inference(rename_variables,[],[11150])). % 199.99/201.10 cnf(13843,plain, % 199.99/201.10 (~P1(f317(f317(f226(a898),x138431),x138431))), % 199.99/201.10 inference(rename_variables,[],[4604])). % 199.99/201.10 cnf(13846,plain, % 199.99/201.10 (~P1(f317(f317(f226(a898),x138461),x138461))), % 199.99/201.10 inference(rename_variables,[],[4604])). % 199.99/201.10 cnf(13865,plain, % 199.99/201.10 (P1(f317(f317(f225(f905(x138651,a894)),f317(f275(x138652,x138651,x138653),f178(f905(x138652,a894)))),x138654))), % 199.99/201.10 inference(rename_variables,[],[11467])). % 199.99/201.10 cnf(13870,plain, % 199.99/201.10 (P1(f317(f317(f225(a898),f40(a898,x138701,x138702)),x138701))), % 199.99/201.10 inference(rename_variables,[],[3876])). % 199.99/201.10 cnf(13873,plain, % 199.99/201.10 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x138731),x138732)),x138731))), % 199.99/201.10 inference(rename_variables,[],[4628])). % 199.99/201.10 cnf(13882,plain, % 199.99/201.10 (~P1(f317(f317(f319(x138821),x138822),f178(f905(x138821,a894))))), % 199.99/201.10 inference(rename_variables,[],[4615])). % 199.99/201.10 cnf(13885,plain, % 199.99/201.10 (P1(f317(f317(f225(f905(x138851,a894)),x138852),x138852))), % 199.99/201.10 inference(rename_variables,[],[3717])). % 199.99/201.10 cnf(13891,plain, % 199.99/201.10 (P1(f317(f317(f226(a898),x138911),f317(a102,f317(f317(f74(a898),x138912),x138911))))), % 199.99/201.10 inference(rename_variables,[],[3869])). % 199.99/201.10 cnf(13897,plain, % 199.99/201.10 (E(f317(x138971,f317(f85(x138972,x138973,f232(f905(x138972,a894)),x138971),f317(x138971,x138974))),f317(x138971,x138974))), % 199.99/201.10 inference(rename_variables,[],[11294])). % 199.99/201.10 cnf(13912,plain, % 199.99/201.10 (~P1(f317(f317(f319(f904(x139121,x139121)),x139122),f253(x139121,f178(f905(x139121,a894)))))), % 199.99/201.10 inference(rename_variables,[],[11150])). % 199.99/201.10 cnf(13919,plain, % 199.99/201.10 (~P1(f317(f317(f225(a898),f317(f317(f75(a898),f317(a102,x139191)),f317(a102,x139191))),x139191))), % 199.99/201.10 inference(rename_variables,[],[10905])). % 199.99/201.10 cnf(13922,plain, % 199.99/201.10 (P1(f317(f317(f319(x139221),f317(x139222,x139223)),f317(f300(x139224,x139221,x139222),f232(f905(x139224,a894)))))), % 199.99/201.10 inference(rename_variables,[],[4020])). % 199.99/201.10 cnf(13934,plain, % 199.99/201.10 (P1(f317(f317(f225(a1),x139341),x139341))), % 199.99/201.10 inference(rename_variables,[],[3430])). % 199.99/201.10 cnf(13939,plain, % 199.99/201.10 (~P1(f317(f317(f319(x139391),x139392),f317(f301(x139391,x139393,x139394),f178(f905(x139393,a894)))))), % 199.99/201.10 inference(rename_variables,[],[11153])). % 199.99/201.10 cnf(13942,plain, % 199.99/201.10 (~P1(f317(f317(f319(x139421),x139422),f178(f905(x139421,a894))))), % 199.99/201.10 inference(rename_variables,[],[4615])). % 199.99/201.10 cnf(13963,plain, % 199.99/201.10 (P1(f317(f317(f225(f905(x139631,a894)),x139632),x139632))), % 199.99/201.10 inference(rename_variables,[],[3717])). % 199.99/201.10 cnf(13974,plain, % 199.99/201.10 (P1(f317(f317(f319(x139741),f317(x139742,x139743)),f317(f300(x139744,x139741,x139742),f232(f905(x139744,a894)))))), % 199.99/201.10 inference(rename_variables,[],[4020])). % 199.99/201.10 cnf(13977,plain, % 199.99/201.10 (P1(f317(f317(f277(a898),x139771),x139771))), % 199.99/201.10 inference(rename_variables,[],[3431])). % 199.99/201.10 cnf(13986,plain, % 199.99/201.10 (P1(f317(f317(f277(a898),x139861),x139861))), % 199.99/201.10 inference(rename_variables,[],[3431])). % 199.99/201.10 cnf(13989,plain, % 199.99/201.10 (~P1(f317(f317(f225(a898),f317(f317(f75(a898),f317(a102,x139891)),f317(a102,x139891))),x139891))), % 200.09/201.10 inference(rename_variables,[],[10905])). % 200.09/201.10 cnf(14002,plain, % 200.09/201.10 (E(f317(f317(f124(x140021),x140022),f103(x140021)),x140022)), % 200.09/201.10 inference(rename_variables,[],[3360])). % 200.09/201.10 cnf(14009,plain, % 200.09/201.10 (~P1(f317(f56(x140091,x140092,f178(f905(x140091,a894))),x140093))), % 200.09/201.10 inference(rename_variables,[],[4626])). % 200.09/201.10 cnf(14012,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),f2(a898)),x140121))), % 200.09/201.10 inference(rename_variables,[],[3450])). % 200.09/201.10 cnf(14022,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(x140221,x140221)),x140222),f253(x140221,f178(f905(x140221,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11150])). % 200.09/201.10 cnf(14031,plain, % 200.09/201.10 (E(f317(f274(x140311,x140311),f253(x140311,x140312)),x140312)), % 200.09/201.10 inference(rename_variables,[],[3389])). % 200.09/201.10 cnf(14036,plain, % 200.09/201.10 (~P1(f317(f317(f319(x140361),x140362),f178(f905(x140361,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14045,plain, % 200.09/201.10 (~P1(f317(f317(f226(a898),x140451),x140451))), % 200.09/201.10 inference(rename_variables,[],[4604])). % 200.09/201.10 cnf(14048,plain, % 200.09/201.10 (~P1(f317(f317(f178(f905(x140481,f905(x140482,a894))),x140483),x140484))), % 200.09/201.10 inference(rename_variables,[],[4630])). % 200.09/201.10 cnf(14057,plain, % 200.09/201.10 (E(f317(x140571,f317(f85(x140572,x140573,f232(f905(x140572,a894)),x140571),f317(x140571,x140574))),f317(x140571,x140574))), % 200.09/201.10 inference(rename_variables,[],[11294])). % 200.09/201.10 cnf(14064,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x140641,a894)),x140642),x140642))), % 200.09/201.10 inference(rename_variables,[],[3717])). % 200.09/201.10 cnf(14069,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),x140691),f317(f317(f74(a898),x140691),x140692)))), % 200.09/201.10 inference(rename_variables,[],[3685])). % 200.09/201.10 cnf(14083,plain, % 200.09/201.10 (P1(f317(f317(f319(x140831),f317(x140832,x140833)),f317(f300(x140834,x140831,x140832),f232(f905(x140834,a894)))))), % 200.09/201.10 inference(rename_variables,[],[4020])). % 200.09/201.10 cnf(14086,plain, % 200.09/201.10 (~P1(f317(f317(f319(x140861),x140862),f178(f905(x140861,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14089,plain, % 200.09/201.10 (~P1(f317(f317(f319(a898),x140891),f317(f272(a898),f2(a898))))), % 200.09/201.10 inference(rename_variables,[],[12020])). % 200.09/201.10 cnf(14092,plain, % 200.09/201.10 (E(f317(x140921,f317(f85(x140922,x140923,f232(f905(x140922,a894)),x140921),f317(x140921,x140924))),f317(x140921,x140924))), % 200.09/201.10 inference(rename_variables,[],[11294])). % 200.09/201.10 cnf(14095,plain, % 200.09/201.10 (~P1(f317(f317(f319(x140951),x140952),f178(f905(x140951,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14098,plain, % 200.09/201.10 (P1(f317(f317(f277(a898),f317(a102,f2(a898))),x140981))), % 200.09/201.10 inference(rename_variables,[],[3578])). % 200.09/201.10 cnf(14101,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),x141011),f317(f317(f74(a898),x141011),x141012)))), % 200.09/201.10 inference(rename_variables,[],[3685])). % 200.09/201.10 cnf(14104,plain, % 200.09/201.10 (E(f317(f274(x141041,x141041),f253(x141041,x141042)),x141042)), % 200.09/201.10 inference(rename_variables,[],[3389])). % 200.09/201.10 cnf(14107,plain, % 200.09/201.10 (~P1(f317(f317(f319(x141071),x141072),f178(f905(x141071,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14110,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(x141101,x141101)),x141102),f253(x141101,f178(f905(x141101,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11150])). % 200.09/201.10 cnf(14118,plain, % 200.09/201.10 (P33(x141181,x141182,x141183,f317(f317(f144(x141184,x141181),x141185),f104(x141184,f103(x141184))),f103(x141182))), % 200.09/201.10 inference(rename_variables,[],[11432])). % 200.09/201.10 cnf(14121,plain, % 200.09/201.10 (~E(f317(f317(f229(a898),f317(a102,x141211)),x141211),f317(a102,x141211))), % 200.09/201.10 inference(rename_variables,[],[11760])). % 200.09/201.10 cnf(14135,plain, % 200.09/201.10 (P1(f317(f317(f319(x141351),f317(x141352,x141353)),f317(f300(x141354,x141351,x141352),f232(f905(x141354,a894)))))), % 200.09/201.10 inference(rename_variables,[],[4020])). % 200.09/201.10 cnf(14144,plain, % 200.09/201.10 (P1(f317(f317(f319(x141441),f317(x141442,x141443)),f317(f300(x141444,x141441,x141442),f232(f905(x141444,a894)))))), % 200.09/201.10 inference(rename_variables,[],[4020])). % 200.09/201.10 cnf(14147,plain, % 200.09/201.10 (~P1(f317(f317(f319(x141471),x141472),f317(f300(x141473,x141471,x141474),f178(f905(x141473,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11394])). % 200.09/201.10 cnf(14150,plain, % 200.09/201.10 (E(f317(x141501,f317(f85(x141502,x141503,f232(f905(x141502,a894)),x141501),f317(x141501,x141504))),f317(x141501,x141504))), % 200.09/201.10 inference(rename_variables,[],[11294])). % 200.09/201.10 cnf(14160,plain, % 200.09/201.10 (~P1(f317(f317(f319(x141601),x141602),f178(f905(x141601,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14166,plain, % 200.09/201.10 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x141661),x141662)),x141661))), % 200.09/201.10 inference(rename_variables,[],[4628])). % 200.09/201.10 cnf(14172,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x141721,a894)),f317(f162(x141721),f166(x141721,x141722,x141723))),f317(f162(x141721),x141722)))), % 200.09/201.10 inference(rename_variables,[],[4112])). % 200.09/201.10 cnf(14175,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(x141751,x141751)),x141752),f253(x141751,f178(f905(x141751,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11150])). % 200.09/201.10 cnf(14178,plain, % 200.09/201.10 (~P1(f317(f317(f319(a898),x141781),f317(f272(a898),f2(a898))))), % 200.09/201.10 inference(rename_variables,[],[12020])). % 200.09/201.10 cnf(14187,plain, % 200.09/201.10 (~E(f317(f317(f141(x141871),x141872),x141873),x141873)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14196,plain, % 200.09/201.10 (~E(f317(f317(f141(x141961),x141962),x141963),x141963)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14199,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),x141991),f317(f317(f74(a898),x141991),x141992)))), % 200.09/201.10 inference(rename_variables,[],[3685])). % 200.09/201.10 cnf(14207,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),x142071),f317(f317(f75(a898),x142071),x142071)))), % 200.09/201.10 inference(rename_variables,[],[3686])). % 200.09/201.10 cnf(14210,plain, % 200.09/201.10 (~P1(f317(f317(f319(x142101),x142102),f178(f905(x142101,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14213,plain, % 200.09/201.10 (~E(f317(f317(f141(x142131),x142132),x142133),x142133)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14221,plain, % 200.09/201.10 (~P1(f317(f317(f319(a898),x142211),f317(f272(a898),f2(a898))))), % 200.09/201.10 inference(rename_variables,[],[12020])). % 200.09/201.10 cnf(14226,plain, % 200.09/201.10 (E(f317(f317(f124(x142261),x142262),f103(x142261)),x142262)), % 200.09/201.10 inference(rename_variables,[],[3360])). % 200.09/201.10 cnf(14229,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x142291,a894)),f317(f162(x142291),f166(x142291,x142292,x142293))),f317(f162(x142291),x142292)))), % 200.09/201.10 inference(rename_variables,[],[4112])). % 200.09/201.10 cnf(14232,plain, % 200.09/201.10 (~P1(f317(f317(f319(x142321),x142322),f317(f301(x142321,x142323,x142324),f178(f905(x142323,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11153])). % 200.09/201.10 cnf(14246,plain, % 200.09/201.10 (~P1(f317(f317(f319(a898),x142461),f317(f272(a898),f2(a898))))), % 200.09/201.10 inference(rename_variables,[],[12020])). % 200.09/201.10 cnf(14249,plain, % 200.09/201.10 (E(f317(f274(x142491,x142491),f253(x142491,x142492)),x142492)), % 200.09/201.10 inference(rename_variables,[],[3389])). % 200.09/201.10 cnf(14252,plain, % 200.09/201.10 (~E(f317(f317(f141(x142521),x142522),x142523),x142523)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14259,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x142591,a894)),x142592),x142592))), % 200.09/201.10 inference(rename_variables,[],[3717])). % 200.09/201.10 cnf(14265,plain, % 200.09/201.10 (P1(f317(f317(f277(a898),x142651),x142651))), % 200.09/201.10 inference(rename_variables,[],[3431])). % 200.09/201.10 cnf(14276,plain, % 200.09/201.10 (~E(f317(f317(f141(x142761),x142762),x142763),x142763)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14281,plain, % 200.09/201.10 (P1(f317(f317(f226(a898),x142811),f317(a102,f317(f317(f74(a898),x142811),x142812))))), % 200.09/201.10 inference(rename_variables,[],[3870])). % 200.09/201.10 cnf(14301,plain, % 200.09/201.10 (~P1(f317(f317(f319(x143011),x143012),f317(f301(x143011,x143013,x143014),f178(f905(x143013,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11153])). % 200.09/201.10 cnf(14306,plain, % 200.09/201.10 (P1(f317(f317(f226(a1),f317(f317(f23(a1),x143061),f72(a1))),x143061))), % 200.09/201.10 inference(rename_variables,[],[10966])). % 200.09/201.10 cnf(14311,plain, % 200.09/201.10 (E(f317(f300(x143111,x143111,f25(x143111)),x143112),x143112)), % 200.09/201.10 inference(rename_variables,[],[3484])). % 200.09/201.10 cnf(14316,plain, % 200.09/201.10 (~P1(f317(f317(f319(x143161),x143162),f178(f905(x143161,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14321,plain, % 200.09/201.10 (E(f317(f274(x143211,x143211),f253(x143211,x143212)),x143212)), % 200.09/201.10 inference(rename_variables,[],[3389])). % 200.09/201.10 cnf(14334,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x143341,a894)),f317(f162(x143341),f166(x143341,x143342,x143343))),f317(f162(x143341),x143342)))), % 200.09/201.10 inference(rename_variables,[],[4112])). % 200.09/201.10 cnf(14339,plain, % 200.09/201.10 (~P1(f317(f317(f226(a898),x143391),x143391))), % 200.09/201.10 inference(rename_variables,[],[4604])). % 200.09/201.10 cnf(14355,plain, % 200.09/201.10 (P1(f317(f317(f226(a1),f317(f317(f23(a1),x143551),f72(a1))),x143551))), % 200.09/201.10 inference(rename_variables,[],[10966])). % 200.09/201.10 cnf(14363,plain, % 200.09/201.10 (~E(f317(f317(f141(x143631),x143632),x143633),f103(x143631))), % 200.09/201.10 inference(rename_variables,[],[4587])). % 200.09/201.10 cnf(14369,plain, % 200.09/201.10 (~E(f317(f317(f141(x143691),x143692),x143693),f103(x143691))), % 200.09/201.10 inference(rename_variables,[],[4587])). % 200.09/201.10 cnf(14374,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(x143741,x143741)),x143742),f253(x143741,f178(f905(x143741,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11150])). % 200.09/201.10 cnf(14380,plain, % 200.09/201.10 (P1(f317(f317(f319(x143801),f317(x143802,x143803)),f317(f300(x143804,x143801,x143802),f232(f905(x143804,a894)))))), % 200.09/201.10 inference(rename_variables,[],[4020])). % 200.09/201.10 cnf(14383,plain, % 200.09/201.10 (P1(f317(f317(f226(a1),f317(f317(f23(a1),x143831),f72(a1))),x143831))), % 200.09/201.10 inference(rename_variables,[],[10966])). % 200.09/201.10 cnf(14388,plain, % 200.09/201.10 (P1(f317(f317(f277(a898),x143881),x143881))), % 200.09/201.10 inference(rename_variables,[],[3431])). % 200.09/201.10 cnf(14396,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(x143961,x143961)),x143962),f253(x143961,f178(f905(x143961,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11150])). % 200.09/201.10 cnf(14401,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),f2(a898)),x144011))), % 200.09/201.10 inference(rename_variables,[],[3450])). % 200.09/201.10 cnf(14406,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(x144061,x144061)),x144062),f253(x144061,f178(f905(x144061,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11150])). % 200.09/201.10 cnf(14421,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(f899(x144211),f899(x144211))),f317(f317(f242(f899(x144211),f899(x144211)),x144212),f103(x144211))),f147(x144211,x144213)))), % 200.09/201.10 inference(rename_variables,[],[4634])). % 200.09/201.10 cnf(14424,plain, % 200.09/201.10 (~P1(f317(f317(f226(a898),f317(f317(f74(a898),x144241),x144242)),x144241))), % 200.09/201.10 inference(rename_variables,[],[4628])). % 200.09/201.10 cnf(14427,plain, % 200.09/201.10 (~E(f317(f317(f141(x144271),x144272),x144273),x144273)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14440,plain, % 200.09/201.10 (~P33(x144401,x144402,x144403,f317(f317(f144(x144404,x144401),x144405),f317(a102,f103(x144404))),f103(x144402))), % 200.09/201.10 inference(rename_variables,[],[11428])). % 200.09/201.10 cnf(14453,plain, % 200.09/201.10 (P1(f317(f317(f277(a898),x144531),x144531))), % 200.09/201.10 inference(rename_variables,[],[3431])). % 200.09/201.10 cnf(14456,plain, % 200.09/201.10 (~P33(x144561,x144562,x144563,f317(f317(f144(x144564,x144561),x144565),f317(a102,f103(x144564))),f103(x144562))), % 200.09/201.10 inference(rename_variables,[],[11428])). % 200.09/201.10 cnf(14459,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x144591,a894)),f317(f162(x144591),f166(x144591,x144592,x144593))),f317(f162(x144591),x144592)))), % 200.09/201.10 inference(rename_variables,[],[4112])). % 200.09/201.10 cnf(14462,plain, % 200.09/201.10 (~P1(f317(f317(f319(x144621),x144622),f178(f905(x144621,a894))))), % 200.09/201.10 inference(rename_variables,[],[4615])). % 200.09/201.10 cnf(14469,plain, % 200.09/201.10 (~E(f317(a102,x144691),f2(a898))), % 200.09/201.10 inference(rename_variables,[],[4577])). % 200.09/201.10 cnf(14480,plain, % 200.09/201.10 (~P1(f317(f56(x144801,x144802,f178(f905(x144801,a894))),x144803))), % 200.09/201.10 inference(rename_variables,[],[4626])). % 200.09/201.10 cnf(14502,plain, % 200.09/201.10 (~P1(f317(f317(f225(a898),f317(a102,x145021)),x145021))), % 200.09/201.10 inference(rename_variables,[],[4612])). % 200.09/201.10 cnf(14507,plain, % 200.09/201.10 (E(f317(x145071,f317(f85(x145072,x145073,f232(f905(x145072,a894)),x145071),f317(x145071,x145074))),f317(x145071,x145074))), % 200.09/201.10 inference(rename_variables,[],[11294])). % 200.09/201.10 cnf(14533,plain, % 200.09/201.10 (~E(f317(f317(f141(x145331),x145332),x145333),x145333)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14536,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x145361,a894)),x145362),x145362))), % 200.09/201.10 inference(rename_variables,[],[3717])). % 200.09/201.10 cnf(14539,plain, % 200.09/201.10 (~P1(f317(f317(f319(a898),x145391),f317(f272(a898),f2(a898))))), % 200.09/201.10 inference(rename_variables,[],[12020])). % 200.09/201.10 cnf(14550,plain, % 200.09/201.10 (P1(f317(f317(f319(x145501),f317(x145502,x145503)),f317(f300(x145504,x145501,x145502),f232(f905(x145504,a894)))))), % 200.09/201.10 inference(rename_variables,[],[4020])). % 200.09/201.10 cnf(14556,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),x145561),f317(f317(f75(a898),x145561),x145561)))), % 200.09/201.10 inference(rename_variables,[],[3686])). % 200.09/201.10 cnf(14566,plain, % 200.09/201.10 (~P1(f317(f317(f178(f905(x145661,f905(x145662,a894))),x145663),x145664))), % 200.09/201.10 inference(rename_variables,[],[4630])). % 200.09/201.10 cnf(14573,plain, % 200.09/201.10 (~P1(f317(f56(x145731,x145732,f178(f905(x145731,a894))),x145733))), % 200.09/201.10 inference(rename_variables,[],[4626])). % 200.09/201.10 cnf(14576,plain, % 200.09/201.10 (P1(f317(f317(f225(a898),x145761),f317(f317(f75(a898),x145761),x145761)))), % 200.09/201.10 inference(rename_variables,[],[3686])). % 200.09/201.10 cnf(14594,plain, % 200.09/201.10 (P1(f317(f317(f225(f905(x145941,a894)),x145942),x145942))), % 200.09/201.10 inference(rename_variables,[],[3717])). % 200.09/201.10 cnf(14621,plain, % 200.09/201.10 (E(f317(x146211,f317(f85(x146212,x146213,f232(f905(x146212,a894)),x146211),f317(x146211,x146214))),f317(x146211,x146214))), % 200.09/201.10 inference(rename_variables,[],[11294])). % 200.09/201.10 cnf(14646,plain, % 200.09/201.10 (~P1(f317(f317(f319(f904(x146461,x146461)),x146462),f253(x146461,f178(f905(x146461,a894)))))), % 200.09/201.10 inference(rename_variables,[],[11150])). % 200.09/201.10 cnf(14656,plain, % 200.09/201.10 (~E(f317(f317(f141(x146561),x146562),x146563),x146563)), % 200.09/201.10 inference(rename_variables,[],[4584])). % 200.09/201.10 cnf(14673,plain, % 200.09/201.10 (E(f317(x146731,f317(f85(x146732,x146733,f232(f905(x146732,a894)),x146731),f317(x146731,x146734))),f317(x146731,x146734))), % 200.09/201.10 inference(rename_variables,[],[11294])). % 200.09/201.10 cnf(14702,plain, % 200.09/201.10 (P1(f317(f317(f319(x147021),f317(x147022,x147023)),f317(f300(x147024,x147021,x147022),f232(f905(x147024,a894)))))), % 200.09/201.10 inference(rename_variables,[],[4020])). % 200.09/201.10 cnf(14705,plain, % 200.09/201.10 (E(f317(x147051,f317(f85(x147052,x147053,f232(f905(x147052,a894)),x147051),f317(x147051,x147054))),f317(x147051,x147054))), % 200.09/201.10 inference(rename_variables,[],[11294])). % 200.09/201.10 cnf(14759,plain, % 200.09/201.10 ($false), % 200.09/201.10 inference(scs_inference,[],[3858,3458,4158,4002,3225,3431,13977,13986,14265,14388,14453,3287,4629,4596,3432,4196,4605,4598,3519,3871,4632,3971,3526,4020,13922,13974,14083,14135,14144,14380,14550,14702,4615,13833,13882,13942,14036,14086,14095,14107,14160,14210,14316,14462,4112,14172,14229,14334,14459,3899,4577,14469,4584,13737,13794,14187,14196,14213,14252,14276,14427,14533,14656,4587,14363,14369,4593,3413,3506,3429,3430,13934,3876,13870,3450,14012,14401,3733,3866,3717,13885,13963,14064,14259,14536,14594,3578,14098,3686,13814,14207,14556,14576,3685,13805,14069,14101,14199,4292,3869,13891,3870,14281,3389,14031,14104,14249,14321,3360,14002,14226,3272,3384,4633,4634,14421,4636,4604,13843,13846,14045,14339,4612,14502,4626,13830,14009,14480,14573,4625,4630,14048,14566,4627,4628,13873,14166,14424,3629,11760,13757,14121,10488,13767,13817,13376,10778,10544,12957,12084,12124,12729,11570,13565,10737,13463,12489,12130,12998,13465,10797,13011,12731,12760,12767,11137,13477,11399,13730,11101,10966,13742,14306,14355,14383,12022,4409,3787,12795,11093,11132,11467,13865,11422,11294,13897,14057,14092,14150,14507,14621,14673,14705,13501,11811,13284,11134,11556,10910,10725,3484,14311,3461,3374,11365,11199,13272,13275,10915,13563,13601,11908,12430,12419,11389,13597,13016,12018,12070,10923,12020,13820,14089,14178,14221,14246,14539,11355,12144,11150,13789,13840,13912,14022,14110,14175,14374,14396,14406,14646,12338,11153,13939,14232,14301,11394,14147,11500,11470,10905,13919,13989,11010,12285,12791,11587,13599,11406,12692,13623,11428,14440,14456,11168,11432,14118,12594,11308,10890,10893,11052,11402,3037,11823,3970,9,8,8866,6432,6373,8779,9718,5900,6520,8931,6236,5657,7310,8587,5035,7074,9747,4768,7303,5435,6231,7067,4932,8869,5752,8615,9912,6177,7553,6591,6112,8372,7471,6627,6888,5585,8150,8787,8933,5767,6475,7462,8498,9782,9727,5554,9905,5870,5989,7835,9449,6945,7579,5429,6551,6597,5839,8014,5531,6590,6332,5244,6767,7617,8689,9633,8173,6349,7030,5837,5854,8819,4980,5284,6687,10060,5628,8263,5942,6330,8572,9204,8806,7494,5309,6235,7140,7899,9586,9976,10208,4690,7913,5130,5557,6289,6467,9419,2,6138,5365,5770,7624,5719,5384,5318,5877,6198,6328,6415,5323,5825,5129,5135,5294,5908,6030,6344,6843,9048,5815,9361,6893,6896,7823,8185,7286,10089,5546,6894,5102,5489,6644,5394,10362,5672,4818,5829,5627,9672,7871,6203,5319,7687,8677,6178,5184,8721,5034,8047,4722,6810,6418,6200,6466,9972,10303,5811,7196,9450,10076,5731,6283,6015,7448,5774,8723,4774,6890,9588,8570,8594,4724,4846,5676,5685,7951,8921,5187,6910,8631,10380,6854,5414,5419,5720,6096,6230,6892,8522,5378,6427,7518,9241,6885,6866,5688,8562,7987,9846,5267,5415,8960,9363,8595,4728,6379,6641,8769,9835,8649,4669,8328,5980,8111,8823,5404,6578,7490,10070,5296,5383,5479,7473,6067,6155,6346,6474,7556,5834,5965,7282,8593,6173,5579,5876,8168,6845,10109,4681,4812,8657,9546,5613,6280,5640,8768,4776,7621,5659,7313,9310,9362,9729,5186,5686,6006,6576,8740,10077,5647,6159,10301,9403,7570,5901,6156,9073,9351,6175,8591,5992,6421,9203,10300,4817,6020,6365,6744,5629,9783,6334,4852,5351,8526,5471,9477,5252,9900,8886,9745,9587,6135,6362,8167,8705,9171,6923,8353,9790,6204,5516,5914,4965,7903,5827,9444,9345,5609,5291,5377,6470,7373,6478,4772,6484,7110,9789,8655,5819,6922,9427,8727,6476,8438,8726,8751,8932,5610,6629,6179,7004,8870,8184,7225,5402,6293,8596,6008,5641,5253,5821,6873,5756,8506,6382,8658,8678,9061,9062,9373,9871,5485,8500,4964,5759,7962,6865,8844,9020,8582,8166,8650,9730,5281,6842,6009,5108,5416,5856,9834,10066,10079,8252,4767,6002,6471,6688,7006,8887,5823,4726,4938,5778,5059,6054,6272,8679,6028,6010,7669,8659,10072,7543,9423,5301,5817,7472,7775,6195,6384,7496,8078,10088,10302,5326,4723,8399,8725,8748,8716,5197,9138,5530,9212,6273,9697,4752]), % 200.09/201.10 ['proof']). % 200.09/201.10 % SZS output end Proof % 200.09/201.10 % Total time :173.400000s %------------------------------------------------------------------------------